Please help me with this question I will give brainliest thank you

Answer:

x= 10

Step-by-step explanation:

1/5 x -2/3 = 4/3

Add 2/3 to each side

1/5x -2/3 +2/3 = 4/3 +2/3

1/5x = 6/3

1/5x = 2

Multiply each side by 5

1/5x * 5 = 2*5

x = 10

Answer:   the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): x ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Step-by-step explanation:

since f(x) = x + 4 and g(x) = x -  1

then f/g = x + 4/x - 1

the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.

∴  x - 1 ≠ 0

the value of x when g(x) = 0 is

       x - 1 = 0

       x = 1

∴ x ≠ 1

Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): x ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Answer:

The value of the standardized test statistic for this significance test is -1.25.

Step-by-step explanation:

We are given that in a recent poll, 30 percent of adults said they wanted to "cut down or be free of gluten".

The researcher conducts a survey of a random sample of 25 students at her university and five of them say they want to at least reduce gluten.

Let p = population proportion of students wanting to reduce gluten at the university.

So, Null Hypothesis, [tex]H_0[/tex] : p = 30%      {means that the proportion wanting to reduce gluten at the university is the same as for all adults}

Alternate Hypothesis, [tex]H_A[/tex] : p < 30%     {means that a smaller proportion of students would say they want to reduce or be free of gluten}

The test statistics that would be used here One-sample z test for proportions;

                           T.S. =  [tex]\frac{\hat p-p}{\sqrt\frac{\hat p(1-\hat p)}{n} {} }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of students who would say they want to reduce or be free of gluten = [tex]\frac{5}{25}[/tex] = 0.20

            n = sample of students taken = 25

So, the test statistics  =  [tex]\frac{0.20-0.30}{\sqrt\frac{0.20(1-0.20)}{25} {} }[/tex]

                                     =  -1.25

The value of standardized z test statistic is -1.25.

Using the z-distribution, it is found that the value of the standardized test statistic for this significance test is:

D) –1.091

At the null hypothesis, we test if the proportion is of 0.3, that is:

[tex]H_0: p = 0.3[/tex]

At the alternative hypothesis, we test if the proportion is of less than 0.3, that is:

[tex]H_1: p < 0.3[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are:

[tex]p = 0.3, n = 25, \overline{p} = \frac{5}{25} = 0.2[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.2 - 0.3}{\sqrt{\frac{0.3(0.7)}{25}}}[/tex]

[tex]z = -1.091[/tex]

A similar problem is given at https://brainly.com/question/24166849

Answer:

g = 8 points

b = 6 points

Step-by-step explanation:

If each girl scores g points, and each boy scores b points, then:

8g + 5b = 94

8g − 5b = 34

Add the equations together.

16g = 128

g = 8

Solve for b in either equation.

8(8) + 5b = 94

5b = 30

b = 6

Answer:

False

Step-by-step explanation:

Answer:

[tex]209.43 \: \: {units}^{3} [/tex]

Step-by-step explanation:

[tex]v = \pi {r}^{2} \frac{h}{3} \\ = \pi \times {5}^{2} \times \frac{8}{3} \\ = 209.439[/tex]

Answer:

For maximum area: Its a square of dimensions 7.25 * 7.25.

Step-by-step explanation:

We can use calculus to solve this:

Let the length of the rectangle be L and the width be W then we have

2L + 2W = 29

L + W = 14.5

W = 14.5 - L

Area = WL

A = L(14.5 - L)

A = 14.5L - L^2

We need this to be a maximum.

Finding the derivative:

dA/dW = 14.5 - 2L = 0   for a maximum

2L = 14.5

L = 7.25

Also W = 14.5 - L

= 14.5 - 7.25 = 7.25.

So the dimensions for maximum area are 7.25 * 7.25.

The  figure is a SQUARE.

The perimeter of a rectangle, is the sum of its side lengths.

The rectangle that has the maximum area when the length is 7.25 and the width is 7.25

The perimeter is given as:

[tex]\mathbf{P = 29}[/tex]

Let the dimensions be l and w.

So, we have:

[tex]\mathbf{2( l + w) = 29}[/tex]

Divide both sides by 2

[tex]\mathbf{l + w = 14.5}[/tex]

Make l the subject

[tex]\mathbf{l = 14.5 - w}[/tex]

The area of a rectangle is:

[tex]\mathbf{A = lw}[/tex]

Substitute [tex]\mathbf{l = 14.5 - w}[/tex]

[tex]\mathbf{A = (14.5 - w)w}[/tex]

Open brackets

[tex]\mathbf{A = 14.5w - w^2}[/tex]

Differentiate

[tex]\mathbf{A' = 14.5 - 2w}[/tex]

Set to 0

[tex]\mathbf{14.5 - 2w = 0}[/tex]

Collect like terms

[tex]\mathbf{2w = 14.5}[/tex]

Divide both sides by 2

[tex]\mathbf{w = 7.25}[/tex]

Recall that: [tex]\mathbf{l = 14.5 - w}[/tex]

So, we have:

[tex]\mathbf{l = 14.5 - 7.25 = 7.25}[/tex]

Hence, the rectangle that has the maximum area when the length is 7.25 and the width is 7.25

Read more about maximum areas at:

https://brainly.com/question/11906003

Answer:

B. It is reasonable to use the? z-interval procedure in this case? since, although the sample is small? (size less than? 15), the variable under consideration is very close to being normally distributed.

Step-by-step explanation:

answer b is considered to be correct because we know that the population is normal and the standard deviation is known, which allows using the interval z, the answer A is not correct because although the option to use the interval z is given, which is correct, the large sample is not favored, the answer C and D are incorrect because they both reject the use of the z interval and in d it is further rejected that although there is a normal distribution the sample is not, which is false

Assuming the population variance is known in this case, and examining it using the z-interval approach to obtain a confidence interval for the mean is fair, which can be defined as follows:

Therefore the final answer is "Option C".

Learn more about the analysis of variance:

brainly.com/question/14265451

Answer:25 in^2

Step-by-step explanation:

d1=10 d2=5

area of rhombus=( d1 x d2)/2

Area of rhombus=(10x5)/2

area of rhombus=50/2

Area of rhombus=25 in^2

Answer:

~ x = 12 centimeters of the route on map ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. We can see that we have to determine the cm of the route on the map, so let us convert the 1.8 kilometers ⇒ centimeters:

1.8 km = 180,000 cm

2. Given the information, let us create a proportionality as such:

      1       =           15,000      ⇒   x - centimeters of the route on the map

      x                   180,000

3. Now let us cross multiply, and solve through simple algebra for x:

15,000 * x = 180,000,

x = 12 centimeters of the route on map

Answer:

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0

Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0    

Step-by-step explanation:

We are given that a local insurance agent randomly selected profiles for 10 of his clients and checked online price quotes for their policies.

Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote), he obtained t-statistic = 0.709 p-value = 0.248.

Here , we will use the concept of Paired data test statistics because the prices that the local insurance agent offered and the corresponding online quotes are from the same single data. These information has not been taken from the two independent samples.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0    

Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0    

Here, null hypothesis states that there is no difference between the price he offered them and the corresponding online quote.

On the other hand, alternate hypothesis states that there is difference between the price he offered them and the corresponding online quote.

Hence, this would be the correct null and alternative hypothesis.

Answer:

-8,-7

Step-by-step explanation:

I think

Answer:

try pressing the help button, it looks like it mightve glitched

Step-by-step explanation:

Answer:

C x =  (-5+sqrt(-3))/2

D x = ( -5-sqrt(-3))/2

Step-by-step explanation:

Set the polynomial equal to zero

x^2 + 5x+7 =0

Subtract 7 from each side

x^2 + 5x+7-7 =-7

x^2 + 5x = -7

Complete the square by taking the coefficient of x and dividing by 2 and then squaring it

(5/2)^2 = 25/4

x^2 + 5x + 25/4 = -7+25/4

(x+5/2)^2 = -28/4 +25/4

(x+5/2)^2 = -3/4

Take the square root of each side

x+5/2 = ±sqrt(-3/4)

Subtract 5/2 from each side

x+5/2 -5/2 = -5/2±sqrt(-3/4)

x =  -5/2±sqrt(-3/4)

x =  -5/2±sqrt(-3)/2

x =  (-5±sqrt(-3))/2

Answer:

x=2  y=4

Step-by-step explanation:

y = 2x

y = –x + 6

Set the two equations equal to each other

2x = -x+6

Add x to each side

2x+x =-x+x+6

3x = 6

Divide each side by 3

3x/3 = 6/3

x =2

Now find y

y = 2x

y =2(2)

y = 4

Answer:

[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(Z<-2.469)= 0.0068[/tex]    

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

Step-by-step explanation:

Information provided

[tex]X_{1}=6[/tex] represent the complaints with the old dough

[tex]X_{2}=16[/tex] represent the complaints with the new dough

[tex]n_{1}=385[/tex] sample 1 selected  

[tex]n_{2}=340[/tex] sample 2 selected  

[tex]p_{1}=\frac{6}{385}=0.0156[/tex] represent the proportion of complaints with the old dough

[tex]p_{2}=\frac{16}{340}=0.0471[/tex] represent the proportion of complaints with the new dough

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value

Hypothesis to test

We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} \geq p_{2}[/tex]    

Alternative hypothesis:[tex]p_{1} < p_{2}[/tex]    

The statitsic is given by:

[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{6+16}{385+340}=0.0303[/tex]  

Replacing the info provided we got:

[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(Z<-2.469)= 0.0068[/tex]    

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

Answer:

Equation: 12 + 3x = 30

Solution: x = 6

Step-by-step explanation:

12 + 3x = 30

X stands for how many hours she rented it for. You want to solve for x, so get x by itself.

12 + 3x = 30

-12           -12

---------------------

3x = 18

Divide both sides by 3

3/3x = 18/3

x = 6

Answer:

The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.

Step-by-step explanation:

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Prefers swimming on weekends.

Event B: Being female.

25% prefer swimming on weekends

This means that [tex]P(A) = 0.25[/tex]

It is found that 20% of the members in that city prefer swimming on weekends and are female

This means that [tex]P(A \cap B) = 0.2[/tex]

So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2}{0.25} = 0.8[/tex]

The probability that a club member picked randomly is female, given that the person prefers swimming on weekends, is 0.8 = 80%.

Answer:

~ 0.375 centimeters of the snowflake in real life ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      48       =           1      ⇒   x - centimeters of the snowflake in real life

       18                    x

2. Now let us cross multiply, and solve through simple algebra for x:

48 * x = 18,

x = 0.375 centimeters of the snowflake in real ife

Answer:24

Step-by-step explanation:

Height =4

Base=6

Area of parallelogram=base x height

Area of parallelogram=6 x 4

Area of parallelogram=24

Answer:

Total Cost = 14c + 10p

Step-by-step explanation:

Answer:

14c+10p= the total cost

Answer:

hhhhhhh

Step-by-step explanation:

Answer:

  f(x) = 120(23/12)^(x-6)

Step-by-step explanation:

One way to write the model is ...

  f(x) = f(x1)·(f(x2)/f(x1))^((x -x1)/(x2-x1))

Filling in the given numbers, this is ...

  f(x) = 120·(230/120)^((x-6)/(7-6))

  f(x) = 120(23/12)^(x-6)

__

Comment on this model

This could be written in the form ...

  f(x) = a·e^(bx)

but the constants "a" and "b" would be approximations to their irrational values. We have elected to write the model with exact values in a form that reproduces the given two points exactly.

Answer:

43.96

Step-by-step explanation:

ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96

Answer:

43.96

im dying on the question before that one it says "What issues are you having when it comes to area and circumference" you typed nothing really and here you are asking us whats the circles area lol

Step-by-step explanation:

Answer:

The question is about the least amount to charge each policyholder as premium

The least premium is $484

Step-by-step explanation:

The least amount of premium to charge for this policy is the sum of the expected values of outcome of both instances of policyholder dying before the age of 70 and living after the age of 70 years

expected value of dying before 70 years=payout*probability=$24,200*2%=$484

Expected of living after 70=payout*probability=$0*98%=$0

sum of expected values=$484+$0=$484

Note that payout is nil if policyholder lives beyond 70 years

The premium of $573 means that a profit of $89 is recorded

Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

Answer:

33%

Step-by-step explanation:

for if u want to do it 4cm then

4+3+3=10

100π cm^2

49π cm^2

16π cm^2

49π - 16π = 33π

33/100 =33%

Answer:

(-2,1)

Step-by-step explanation:

Answer:

The answer is the garbage truck had 6 wheels

Step-by-step explanation:

Since the semitruck has 18 wheels and the semitruck had 3 times more wheels than a garbage truck all you would have to do is divide 18 by 3 and you will get 6 as your answer.

Hope this helps, its my first time answering.

Answer:

Rewrite in standard form to find the center  

( h , k )  and radius  r .

Center:  ( 0 , 2 )  Radius:  4

Step-by-step explanation:

Answer:

Rewrite in standard form to find the center  

( h , k )  and radius  r .

Center:  ( 0 , 2 )  Radius:  4

Lol hope this helps

Step-by-step explanation:

Answer:

3218.75 a month

Step-by-step explanation:

Did you ever figure this out. I need the answer for a test.