11. Solve the equation.
2(3z-2) + 8 = 34
Oz=3
Oz=-3
Oz=-4
Oz=5
(1 point)

Answers

Answer 1
Evaluate
6z-4+8=34
Move constant and move 4 to right
6z+4=34

6z=30

Z=5
Answer 2

Answer:z=5 the last option I hope this is helpful to you and anyone else who needs help

Step-by-step explanation:

2(3z-2)+8=34

Distribute 2 through the parentheses

6z-4+8=34

Calculate the sum

6z+4=34

Move the constant to the right-hand side and change its sign

6z=34-4

Subtract the numbers
6z=30

then Divide both sides of the equation by 6

z=5


Related Questions

Write each of these numbers in base five as a sum of multiples of powers of five (5):

(a). 1012⁵
(b). 101⁵
(c). 1.1⁵
(d). 10.21⁵
(e). 210⁵​

Answers

Answer:

Step-by-step explanation:

a) 1012⁵ can be written as:

1012⁵ = 15¹² + 05¹¹ + 1*5¹º

= 5¹² + 5¹º

= 3125 + 625

= 3750

(b) 101⁵ can be written as:

101⁵ = 15⁴ + 05³ + 1*5²

= 5⁴ + 5²

= 625 + 25

= 650

(c) 1.1⁵ can be written as:

1.1⁵ = 15¹ + 15º

= 5¹ + 5º

= 25 + 5

= 30

(d) 10.21⁵ can be written as:

10.21⁵ = 15² + 05¹ + 25º + 15⁻¹

= 5² + 2*5º + 5⁻¹

= 25 + 10 + 0.2

= 35.2

(e) 210⁵ can be written as:

210⁵ = 25⁴ + 15²

= 2*625 + 25

= 1250 + 25

= 1275

The sum of the measures of angle A and angle B equals 90°.
sin A = 0.555 cos A = 0.832
What is cos B?

Answers

By using trigonometry, it can be calculated that -

cos B = 0.555

What is Trigonometry?

Trigonometry is a branch of mathematics that studies the relationships between angles and sides of triangles. It is used to solve problems involving lengths and angles of triangles, as well as circles and other shapes. Trigonometry is used in physics, engineering, and astronomy, and it has applications in the fields of navigation, surveying, and seismology. Trigonometry is based on the study of ratios and inverse functions, and it can be used to calculate the area of a triangle and its angles.

There are six trigonometrical functions. They are

[tex]sin\theta, cos\theta, tan\theta, cot\theta, sec\theta, cosec\theta[/tex]

Trigonometry is a very important tool in mathematics.

Here, trigonometry will be used

sin A = 0.555 cos A = 0.832

A + B = 90

B = 90 - A

cos B = cos(90 - A) = sin A = 0.555

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8.8 Use Runge-Kutta method of fourth order to solve numerically the initial value problem
10(dy/dx) = x²+y² , y(0)=1
and find y in the interval 0 ≤x ≤ 0.4 , taking h=0.1.

Answers

The value of y(0.4) is 1.04384484247985 using  Runge-Kutta method of fourth order .

What is  Runge-Kutta method of fourth order ?

The RK4 method, also known as the fourth-order Runge-Kutta method, is the Runge Kutta technique most frequently employed to get the answer to a differential equation. For a given point x, the Runge-Kutta technique returns an approximation of the value of y. The Runge Kutta RK4 method can only be used to solve first order ODEs.

The step size is h = 0.1

f(x,y) = (x²+y²)/10

Step 1:

x₁ = 0 + 0.1 = 0.1

k₁ =f(0,1) = 0.1

k₂ = f(1/20, 1.005) = 0.1012525

k₃ = f(1/20, 1.005062625) =0.101265088017189

k₄ = f(1/10, 1.01012650880172) = 0.103035556378395

y₁ = 1+ (1/10)/6 +(0.1 + 2⋅0.1012525 + 2⋅0.101265088017189 + 0.103035556378395) = 1.01013451220688

Step 2:

x₂ = x₁ + h = 1/5

k₁ =f(1/10,1.01013451220688)=0.103037173275143

k₂ = f(3/20,1.01528637087064) = 0.105330641487567

k₃ = f(3/20, 1.01540104428126) = 0.105353928072747

k₄ = f(1/5, 1.02066990501415) = 0.10817670550016

y₂ =1.01013451220688 + (1/10)/6 +(0.103037173275143 + 2⋅0.105330641487567 + 2⋅0.105353928072747 + 0.10817670550016) = 1.02067756250514

Step 3:

x₃ = x₂ + h = 3/10

k₁ =f(1/5, 1.02067756250514)=0.108178268660144

k₂ = f(1/4,1.02608647593815)=0.111535345610318

k₃ = f(1/4, 1.02625432978566)=0.111569794940382

k₄ = f(3/10, 1.03183454199918)=0.115468252206266

y₃ =1.02067756250514 + (1/10)/6 (0.108178268660144 + 2⋅0.111535345610318 + 2⋅0.111569794940382 + 0.115468252206266) = 1.03184184253794

Step 4:

x₄ = x₃ + h = 2/5

k₁ =f(3/10, 1.03184184253794) = 0.115469758801209

k₂ = f(7/20,1.037615330478)=0.119914557404297

k₃ = f(7/20, 1.03783757040816)=0.119960682255071

k₄ = f(2/5, 1.04383791076345)=0.1249597583947

y₄ = 1.03184184253794 + (1/10)/6 (0.115469758801209 + 2⋅0.119914557404297 + 2⋅0.119960682255071 + 0.1249597583947) = 1.04384484247985

y(0.4) ≈ 1.04384484247985

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please help and tell me what to put in

Answers

Using the two column proof, we have been able to prove that;

ΔPQR ≅ ΔTSR by AAS Congruency Postulate

How to solve two column proof problems?

A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.

Thus, the two column proof required is as follows;

Statement 1: PR ≅ TR

Reason 1: Given

Statement 2: ∠PQR ≅ ∠TSR

Reason 2: Given

Statement 3: ∠PRQ ≅ ∠TRS

Reason 3: Opposite angles

Statement 4: ΔPQR ≅ ΔTSR

Reason 4: AAS Congruency postulate

AAS congruency postulate is one of the 5 major triangle congruency postulates that is defined as Angle-Angle-Side. This tells us that two angles and a non-included side of a triangle are equal to the corresponding angles and sides of another triangle, then the triangles are said to be congruent.

We can also say that Opposite angles are defined as the angles that are directly opposite each other where two lines cross. The intersection point in this regards is called the vertex, which is the point where the lines connect to form the angle. Opposite angles are also referred to as vertical angles

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Select the best answer. The central limit theorem is important in statistics because it allows us to use the Normal distribution to find probabilities involving the sample mean (a) if the sample size is reasonably large (for any population). (b) if the population is Normally distributed and the sample size is reasonable large. (c) if the population is Normally distributed (for any sample size). (d) if the population is Normally distributed and the population standard deviation is known (for any sample size). (e) if the population size is reasonably large (whether the population distribution is known or not).

Answers

The central limit theorem's not needed when the original distribution is normal, the distribution of the sample mean is always normal in that case. So, option (a) is correct. If the sample size is reasonably large (for any population) is correct.

Given that,

The central limit theorem is important in statistics because it allows us to use the Normal distribution to find probabilities involving the sample mean,

In layman's words, the theorem asserts that regardless of the form of the initial population distribution, the sampling distribution of the mean tends to resemble a normal distribution as the sample size rises.

Statistics benefits from the Central Limit Theorem because it makes it safe to assume that the sampling distribution of the mean will be typically normal. As we will see in the next section, this means that we can benefit from statistical methods that presume a normal distribution.

The distribution of people's heights within a population is one illustration of how the central limit theorem is put to use. Even though the population's distribution of heights is not normal, when we sample this population, the distribution of the sample averages will be roughly normal.

Therefore,

The central limit theorem's not needed when the original distribution is normal, the distribution of the sample mean is always normal in that case. So, option (a) is correct. If the sample size is reasonably large (for any population) is correct.

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Helppp!!! 8 grade!! ​

Answers

Step-by-step explanation:

for question 1, the change in y is the highest value takeaway the lowest value.

change in y = 10 - 1 = 9

change in x = 6 - (-3) = 9

9/9 = 1

therefore m = 1, this works for all the questions

ez question pls help tho x/7 - 2 = 8 x=?

Answers

Answer: x = 70

Step-by-step explanation:

You can simply solve for x by simplifying both sides of the equation, then isolating the variable

Solve, x/7 - 2 = 8, for x.

x/7 = 10, added the value of 2 to both sides of the equation.

x=70, multiplied the value of 7 to both sides of the equation.

Thus the value of x is equal to 70.





Which equation is the inverse of y = 2x^2 – 8?

Answers

Inverse of the equation y = [tex]2x^2-8[/tex] is [tex]y = \pm \sqrt{\frac{x+8}{2} }[/tex]

What do you mean by inverse function?

Let f and g be two functions. If

f(g(x)) = x and g(f(x)) = x,

g is the reciprocal of f, and f is the reciprocal of g.

Some functions don't have inverses Let f be a function.

If the horizontal line crosses the graph of f more than once, then f has no inverse.

If no horizontal line crosses the graph of f more than once, then f is the inverse.

Given equation:

y = [tex]2x^2-8[/tex]

To find the inverse of the function find the value of the x in terms of y

[tex]2x^2-8=y[/tex]

[tex]2x^2=y+8[/tex]

[tex]x^{2} =\frac{y+8}{2}[/tex]

x = [tex]\pm \sqrt{\frac{y+8}{2} }[/tex]

Therefore, inverse of the equation y = [tex]2x^2-8[/tex] is [tex]y = \pm \sqrt{\frac{x+8}{2} }[/tex]

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find the fraction of the shaded area and reduce to simplest term IF possible

Answers

Answer:

½

pa brainliest po thanks

Answer:

1/2

Step-by-step explanation:

6 small rectangles, 3 are shaded and three are not, so half,

your answer is 1/2 (one half)

austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time

Answers

40 miles will he have after 85 minutes of driving .

Given :

austin is driving to san francisco, suppose that the distance to his destination in miles is a linear function of total driving time. has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving .

slope = y2  - y1  / x2 - x1

m = 47.5 - 67 / 75 - 49

= -19.5 / 26

= -3/4

= -0.75

Use the point slope y - y1 = m(x - x1)

y - 67 = -.75 ( x - 49 )

y - 67 = -.75x + 36.75

y = -.75x + 36.75 + 67

y = -.75x + 103.75

x = 85

y = -.75(85) + 103.75

y = -63.75 + 103.75

y = 40 miles  

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Full question :

austin is driving to san francisco, suppose that the distance to his destnation in miles is a linear function of total driving time  has 67 miles to his destination after 49 minutes of driving . He has 47.5 miles to his destination after 75 minutes of driving . How many miles will he have after 85 minutes of driving ?

Which expressions are equivalent to 20 divided by 1 plus 4

Answers

The expression equivalent to "20 divided by 1 plus 4" is 20 ÷ 1 + 4.

What are the rules of PEDMAS?

The rules of PEDMAS can be understood by the full form of the name. B stands for bracket, O for of, D for division, M for multiplication, A for addition and S stands for subtraction. For a mathematical expression involving the combination of any of these operators the priority will be given to the letter that comes first.

The given statement for the problem is, " 20 divided by 1 plus 4".

It can be written in the form of expression as follows,

The sign of plus is given as '+'.

And, for divide it is '÷'.

Now, 20 divided by 1 plus 4 can be written as,

20 ÷ 1 + 4

Which is evaluated  by BODMAS to give,

20 + 4 = 24.

Hence, the expression for the given case is 20 ÷ 1 + 4 which is equal to 24.

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received the new experimental drua. 23 subiects were assigned to the control group and received a standard, well-known treatment. after a suitable period. the reduction in blood pressure for each subiect was recorded. thev are going to conduct a test at a 5% sianificance level to see if the mean reduction in blood pressure is different between the arouos. the resultina statistics are as follows:

Answers

To determine if the mean reduction in blood pressure is different between the two groups, you can use a statistical test such as a two-sample t-test. This test compares the means of two groups and determines whether the difference between the means is statistically significant.

To conduct the t-test, you will need the following information:

The sample size of each group (number of subjects in each group)The mean reduction in blood pressure for each groupThe standard deviation of the reduction in blood pressure for each groupThe level of significance (in this case, 5%)

Once you have this information, you can use a statistical software or calculator to perform the t-test and determine the p-value. The p-value is a measure of the probability that the difference between the means is due to chance.

If the p-value is less than the level of significance (5% in this case), then the difference between the means is statistically significant and you can conclude that there is a significant difference in the mean reduction in blood pressure between the two groups.

If the p-value is greater than the level of significance, then the difference between the means is not statistically significant and you cannot conclude that there is a difference in the mean reduction in blood pressure between the two groups.

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Ella believes that the more one studies for the final exam, the less time it will take them to complete the exam. She measures both of these variables quantitatively (they are both measurement variables) and uses a correlation test statistic to analyze her data. Ella has a ______ hypothesis that will result in a(n) _______ -tailed test

Answers

Answer:

Positive, two-tailed

Step-by-step explanation:

A magician's hat contains black rabbits and white rabbits. The magician selects two rabbits without replacement. If the probability of selecting a black rabbit and a white rabbit is 1/4, and the probability of selecting a black rabbit on the first draw is 5/12, find the probability of selecting a white rabbit on the second draw, given that the first rabbit selected was a black rabbit.

Answers

The probability of selecting a white rabbit on the second draw, given that the first rabbit selected was a black rabbit is 3/5.

P(B∩W) = 1/4  getting a black and a white rabbit

P(B) = 5/12  getting a black rabbit

 P(W/B)

= P(B∩W) / P(B)

= (1/4) / (5/12)

= 12/20

= 3/5

Therefore, the conditional probability is 3/5.

Conditional probability is the chance of an event A occurring when another event B in relation to A has previously occurred. P(A|B) represents it. As seen in the picture above, S represents sample space, and A and B represent events.

The potential of an event or outcome occurring based on the existence of a preceding event or outcome is known as conditional probability. It is computed by multiplying the preceding event's probability by the renewed probability of the next, or conditional, occurrence.

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Evaluate ab−c+d if a=78 , b=−716 , c=0.8 , and d=14 . Write your answer as a mixed number in simplest form.

Answers

In the case where a=78, b=716, c=0.8, and d=14, the simplest form of a mixed number is -117/640.

Explain about the simplest form?

The smallest equivalent fraction of the number is the form that is the simplest. How to find the most basic form: In the numerator and denominator, look for shared factors. Examine the fraction to see if one of the numbers is a prime number.

The term "reduced form" refers to the fraction's simplest form. As an illustration, the simplest form of a fraction with a common component of 1 is 34 However, while 2/4 can be further condensed and expressed as 12, it is not the most basic form.

When the top and bottom of a fraction cannot be any smaller while remaining whole numbers, it is said to be in its simplest form.

b a + c d

b= -7/16

a= 7/8

c= 08.(4/5)

d= 1/4

It can therefore be calculated as follows.

-7/16×7/8 + 4/5×1/4

-49/128 + 1/5

-246+128/640

= -117/640

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This function vertically stretches y = √x by a factor of 3, then translates it 2 units left.

Answers

We get 3y= √(x+2) after vertically stretches by 3 and translated 2 unit left.

What means vertically stretches?

If a function is multiplied by a positive value that greater than 1, the graph of function is called vertically stretched graph. Here vertically stretches means the factor 3>1 and we need to multiply the y value by 3.

What means by translate 2 unit left?

Translation of a graph means move the graph from one position to another position without changing its size, shape or orientation. Here, the graph is translated 2 units left so we need to add 2 with the x value.

We are given a graph, y= √X

Hence, after transformation the graph became 3y= √(x+2)

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Please help me with this and show your process/work!!

Answers

After doing the equation the original price of the tie is $20.

What do you mean by algebraic expression?

An algebraic expression is the idea of ​​using letters or alphabets to represent numbers without specifying the actual values. Algebra Basics taught us how to use letters like x, y, and z to represent unknown values. These characters are called variables here. An algebraic expression can be a combination of variables and constants. Anything that is prepended to a variable and multiplied by it is a coefficient.

It is given that Duke bought the shirt and tie at half off rate.

Cost of shirt = $24

Total money paid by Duke = $22

Let cost of tie be x

According to question:

[tex]24\times \frac{1}{2}+ x\times \frac{1}{2}=22[/tex]

12 + [tex]x\times \frac{1}{2}[/tex] = 22

[tex]x\times \frac{1}{2}[/tex] = 22 - 12

x = 10 × 2

x = 20

Therefore , cost of tie is $20.

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A merchant has coffee worth $50 a pound that she wishes to mix with 20 pounds of coffee worth $80 a pound to get a mixture that can be sold for $60 a
pound. How many pounds of the $50 coffee should be used?

Answers

9 pounds of the $50 coffee should be used

What is word problem?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

let's let p = the pounds of coffee we need.

50p + 80(20) = 6(p+ 20)

The total price of the $50 coffee is going to be the pounds x price per pound. The total amount of coffee is the number of pounds of each added together.

From the equation above 50p + 80(20) = 60(p+ 20)

expanding the brackets and collecting like terms

50p + 1600 = 6p + 120

50p - 6p = 1200 - 1600

44p= 400

p= 9

Therefore, 9 pounds of  $50 coffee should be used

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find the value of the expression w2 + 1v for v=3 and w=3

Answers

Answer: 12

Step-by-step explanation:

Since we are given what v and w are, we can directly plug them in to solve the expression.

w²+1v        [plug in v and w]

(3)²+1(3)     [exponent]

9+1(3)        [multiply]

9+3            [add]

12

The expression is equal to 12.

Jeff took out a 15 year unsubsidized loan for $9.800 to attend four years of college. The rate is 4.3%. How much interest accrued in the first four-and-a-half years

Answers

The interest accrued in the first four years is $1.69 and a half years is $0.21.

What is interest rate?

The amount that the lender charges the borrower above and beyond the principal amount is referred to as the interest rate. A person who deposits money in a bank or other financial institution also earns additional income in terms of the recipient, known as interest, taking into account the time value of money.

Given:

Jeff took out a 15 year unsubsidized loan for $9.800 to attend four years of college.

The rate is 4.3%.

We have to find the interest accrued in the first four-and-a-half years.

First to find the interest for first four years.

p = $9.800,  r  = 4.3% = 0.043,  t = 4

⇒ I = P x r x t

   I = 9.800 x 0.043 x 4

   I = 1.6856

   I = $1.69

Now to find the interest for a half years.

p = $9.800 ,  r = 4.3% = 0.043,  t = 1/2

I = p x r x t

I = 9.800 x 0.043 x 1/2

I = 0.2107

I = $0.21

Hence, the interest accrued in the first four years is $1.69 and a half years is $0.21.

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a school organized three different trips. 50% of the students went on 1st trip, 80% went on the second trip and 90% went on the third trip. a total of 160 students went on all the three trips. how many students are at the school​

Answers

Answer:m

Step-by-step explanation:

There are currently 25 frogs in a (large) pond. The frog population grows exponentially, tripling every 10 days.
How long will it take (in days) for there to be 150 frogs in the pond?
Time to 150 frogs: days
The pond's ecosystem can support 1400 frogs. How long until the situation becomes critical?
Time to 1400 frogs: days

Answers

There are 21 days for there to be 150 frogs in the pond.

There are 37 days for there to be 1400 frogs in the pond.

What is exponential growth?

Quantity increases over time through a process called exponential growth. When a quantity's instantaneous rate of change with respect to time is proportional to the quantity itself, it happens.

Given:

There are currently 25 frogs in a (large) pond. The frog population grows exponentially, tripling every 10 days.

The exponential equation for the given problem is,

[tex]A(t) = Ar^t^/^1^0[/tex]

To find the number of days for there to be 150 frogs in the pond.

Here,

A(t) = 250, A = 25, r = 3

[tex]250 = 25(3)^t^/^1^0\\10 = 3^t^/^1^0\\t = 20.97[/tex]

t ≈ 21

Hence, there are 21 days for there to be 150 frogs in the pond.

Now to find how long for there to be 1400 frogs in the pond, we solve:

[tex]1400 = 25(3)^t^/^1^0\\56 = (3)^t^/^1^0\\t = 36.64[/tex]

t ≈ 37

Hence, there are 37 days for there to be 1400 frogs in the pond.

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Match the correct statement with the given information.

Answers

The correct statements regarding the transformations to the volumes are given as follows:

1. A cone's radius increases x 3: -> The cone's volume will increase x 9.

2. A cone's height increases x 3: -> The cone's volume will increase x 3

3. A sphere's radius increases x 3 -> The sphere's volume will increase x 27.

4. A cylinder's radius increases x 6 -> The cylinders volume will increase x 36.

What are the volumes?

The volume of a cone of radius r and height h is given as follows:

V = πr²h/3.

Then the scale factors are considered as follows:

If the radius is multiplied by 3, the volume is multiplied by 9, as the volume is squared.If the height is multiplied by 3, the volume is also multiplied by 3, as the power of the variable h is of h.

The volume of an sphere of radius r is given as follows:

V = 4πr³/3.

Then when the radius is multiplied by 3, the volume is multiplied by 27, as 3³ = 27, and the radius is cubed in the equation.

The volume of a cylinder of radius r and height h is given as follows:

V = πr²h.

Then if the radius is multiplied by 6, the volume is multiplied by 36, as the variable r is squared in the equation for the volume.

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If a fair coin is tossed 9 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 tails?

Answers

Answer:

Below

Step-by-step explanation:

2^9 possibilities =512

9 possibles with only ONE tails  (9 C 1)

36 possibles with TWO tails     ( 9 C 2)

45 out of 512       45/512 = .088  

The expression 8x³-1 is a ...
Select all that apply
linear
quadratic
cubic
quartic
quintic
monomial
binomial
trinomial

Answers

Observing the nature of the provided equation and the degree of the polynomial , The answer is Cubic.

What is a polynomial?

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

What do you mean by degree of polynomial?

The highest degree of a polynomial's monomials (individual terms) with non-zero coefficients is referred to as the polynomial's degree in mathematics.

Expression : [tex]8x^{3}-1[/tex]

Degree of polynomial =3

The expression is a Cubic Expression.

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Observing the nature of the provided equation and the degree of the polynomial , The answer is Cubic.

What is a polynomial?

Sums of terms with the form  kxⁿ, where K is any number and N is a positive integer, are known as polynomials.

What do you mean by degree of polynomial?

The highest degree of a polynomial's monomials (individual terms) with non-zero coefficients is referred to as the polynomial's degree in mathematics.

Expression : 8x³ - 1

Degree of polynomial =3

The expression is a Cubic Expression.

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expressions equivalent to 9 2/3

Answers

The equivalent expression for the given expression is 29/3.

What is an equivalent expression?

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.

The given mixed fraction [tex]9\frac{2}{3}[/tex].

There are equivalent improper fractions for all mixed numbers. By multiplying the integer by the denominator and then adding the numerator, they are transformed. The numerator will not change.

Convert mixed fraction to improper fraction as follows

Improper fraction = [(Numerator × Denominator)+Numerator]/Denominator

[(9×3)+2]/3

=[27+2]/3

= 29/3

Therefore, the equivalent fraction for the given mixed fraction is 29/3.

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HELP NEEDED IMMEDIATELY!!!!!!!!!!!!!!!!! Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Robbie, Jennie, Willie, and Kylie played a numbers game. Jennie picked a number but did not tell her friends. Robbie and Willie both picked a number as well, and Jennie described their numbers like this to Kylie.

Robbie picked a number that is nine more than four times Jennie's number.
Willie picked a number that is two less than three times Robbie's number.

Deciding to call her number, n, Jennie asked Kylie to write an expression that describes Willie's number.

Kylie came up with two expressions that equal Willie's number.

Her first expression was
(
n +
) - 2. Simplifying her first expression, her second expression was 12n +
.

Answers

The two equations that equal Willie's number are given as follows:

n = 3y - 2.n = 12x + 25.

How to obtain the equations?

Jennie's number is unknown, hence we use the variable x to refer to her number.

Robbie picked a number that is nine more than four times Jennie's number, hence:

y = 9 + 4x.

(using y to refer to Robbie's number).

Willie picked a number that is two less than three times Robbie's number, hence:

n = 3y - 2.

(using n to refer to Willie's number).

Considering the expression for y, the second expression that describes Willie's number is given as follows:

n = 3(9 + 4x) - 2

n = 12x + 25.

Missing Information

The problems asks foir the two expressions that equals Willie's number.

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A line passes through (3, -2) and is perpendicular to 3x - 2y = 7.

Answers

Answer:

y=-2x/3

Step-by-step explanation:

Perpendicular lines have opposite reciprocal slopes.

An example of opposite reciprocals: -1/2 and 2

-1*2=-2

The reciprocal of -2 is -1/2.

In order to solve for slope, isolate y:

3x - 2y = 7  ==> solve for y

3x = 7 + 2y  ==> add 2y on both sides to make y positive

3x - 7 = 2y  ==> isolate y by subtracting 7 on both sides

y = (3x - 7)/2  ==> divide both sides by 2 in order to isolate y

y = 3x/2 - 7/2  ==> distribution

Hence, the slope is 3/2  <== 3x/2.

Now, find the perpendicular slope:

-1*3/2=-3/2

The reciprocal of -3/2 is -2/3 ==> the slope of the perpendicular equation

Now, find the equation of the line that passes through (3, -2):

y=mx+b  ==> slope-intercept equation

-2=-2/3 * (3) + b  ==> plugin (x=3, y=-2) and m=-2/3 which is the slope.

-2 = 3 * (-2/3) + b  ==> solve for b

-2 = -6/3 + b

-2 = -2 + b

b = 0 ==> -2 + 0 = -2

y=-2x/3+0  ==> plugin the slope -2/3 and b=0.

y=-2x/3+0  ==> y=-2x/3

Hence, the equation is y=-2x/3.

To describe the details of the significant result, compare the provided observed and expected frequencies. Which of the following statements best describes the results? a. A greater proportion of the adolescent girls with anorexia nervosa live in the Northeast than live in the other regions when compared to the general US population
b. A greater proportion of the adolescent girls with anorexia nervosa live in the West than live in the other regions when compared to the general US population c. A greater proportion of the adolescent girls with anorexia nervosa live in the South than live in the other regions when compared to the general US population

Answers

c. A greater proportion of adolescent girls with anorexia nervosa live in the South than live in the other regions when compared to the general US population.

Null Hypothesis, [tex]H_{0}[/tex] : All proportions are the same  

Alternative Hypothesis, [tex]H_{1}[/tex]: At least two of the proportions are not the same

The alternative and null are both population-based assertions. The reason for this is that the purpose of hypothesis testing is to draw conclusions about a population from a sample.

The null and alternative hypotheses are two competing claims that researchers weigh the evidence for and against using a statistical test:

Null hypothesis: There’s no effect on the population.

Alternative hypothesis: There’s an effect on the population.

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03 Multiple Choice
Select all of the expressions that are equivalent to (9x+6)-(8x-4).
M. 2(x + 1)
P. 2x+6
R. 2x + 2
S. 2(x + 3)
T.
8x
OE
0/20

Answers

Answer:

The answer is (x + 10)

Step-by-step explanation:

(9x + 6) - (8x - 4)

9x + 6 - 8x + 4

Rearrange it

9x - 8x + 6 + 4

Combine like terms

x + 10

Thus, The answer is (x + 10)

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