What is right ?
Please help !!!!

The length of side x in simplest radical form is √128/1 with a rational denominator of 1.

The triangle is given in the question which is a right triangle.

As per the given figure, we can determine the length of side x by the Pythagoras theorem.

According to Pythagoras's theorem,

In a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

perpendicular²+base² = hypotenuse²

8² + 8² = (x)²

64 + 64 = (x)²

(x)² = 128

x = √128

Hence, the required length of side x of the triangle is √128.

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Dependent variable: t (total cost of the pizza)

Independent variable: x (number of extra toppings)

Equation: t = 10.50 + 1.50x

To determine the total cost of the pizza with 3 extra toppings, plug in x = 3 into the equation:

t = 10.50 + 1.50(3)

t = 10.50 + 4.50

t = 15.00

So the total cost of the pizza with 3 extra toppings is $15.00.

What is Dependent Variables?

The dependent variable is the variable that is being measured or studied in a statistical or scientific research study. It is called the dependent variable because it is believed to depend on the value of one or more other variables, known as the independent variables.

What is Independent Variables?

Independent variables are variables that are manipulated or controlled by the researcher in a scientific or statistical study. They are called independent variables because they are believed to have an effect on the dependent variable, which is the variable being measured or studied.

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The data item in this distribution corresponding to a z-score of -7 will be 290.

The standard score in statistics is the number of standard deviations that a raw score's value is above or below the mean value of what is being observed or measured. Raw scores that are higher than the mean have positive standard scores, whereas those that are lower than the mean have negative standard scores. The Z-score measures how much a particular value deviates from the standard deviation. The Z-score, also known as the standard score, is the number of standard deviations above or below the mean for a given data point. The standard deviation reflects the level of variability within a particular data collection.

Here,

z=(X-μ)/σ

-7=(X-500)/30

-210=X-500

X=290

The data item in this distribution that corresponds to we given z-score

z equals to -7 will be 290.

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Answer:

The number of minutes should be 68.

A cell phone plan costs $23.70 monthly for 700 minutes of talk time. It costs an additional $0.06 per minute for each minute over 700 minutes.

Getting e-mail access costs 20% of the price for 700 minutes of talk time. The total cost for all 6 months is $195.12.Equation and number of minutes:The equation is 195.12=6(0.06m+23.70+0.20(23.70))195.12 = 0.36m + 142.2 + 28.4424.48 = 0.36mm = 68 minutes

24.07 rounded to the nearest tenth is 24.1

Use long division to the quotient is [tex]5 x^5+90 x^2-134 x+3[/tex]

What is quotient?

A quotient in mathematics is the amount created by dividing two numbers. In mathematics, the term "quotient" is frequently used to refer to the integer portion of a division, as well as to a fraction or a ratio.A fraction's quotient is the whole number that results from simplifying the fraction. The quotient is the fraction's decimal form if the simplified fraction yields a non-whole number.

[tex]\begin{aligned}& \text { Simplify }\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-134 x+3 \\& \text { Steps } \\& \left(5 x^5+90 x^2-135 x\right)+(x+3)\end{aligned}[/tex]

[tex]Simplify $\left(5 x^5+90 x^2-135 x\right)+(x+3): \quad 5 x^5+90 x^2-135 x+x+3$[/tex]

[tex]=5 x^5+90 x^2-135 x+x+3[/tex]

[tex]Add similar elements: $-135 x+x=-134 x$[/tex]

[tex]=5 x^5+90 x^2-134 x+3[/tex]

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Answer:

10

Step-by-step explanation:

Using this equation,

l × w × h = v

We can simply substitute the numbers into the equation.

2 × 2 × 2 1/2 =?

(We know that the width is equal to 2 because it is a square.)

2 × 2 = 4,

4 × 2 1/2 = 10

The volume of the storage box is equal to 10.

The exponential function to show the growth in y years is P(1.2)^y

An exponential function is a mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

In this problem, this is an exponential growth since the rate increases.

Let;

The exponential function to represent this will be;

A = P(1 + r)^y

A = P(1 + 0.2)^y

A = P(1.2)^y

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Answer: C

Step-by-step explanation:

Slope is the number right in front of x, which in this case would be -2. So C is the answer.

Creating a table is hard, so I'll try my best. Just pretend the vertical line is connected.

x|y

0|5

1|3

2|1

3|-1

4|-3

Answer:

27.6•\• is the answer from me

Answer: p = 4.5

Step-by-step explanation:

12.4 - 4.5 = 7.9

Answer: p=4.5

Step-by-step explanation:

You do it like this: 12.4=7.9+p

12.4-7.9=p

p=4.5

Answer:

Base = 10 cm

Height = 6 cm

Step-by-step explanation:

Here is the formula for the area of a triangle.

 [tex]A=\frac{bh}{2}[/tex]

We are given

[tex]A=30[/tex]

[tex]b=h+4[/tex]

Replace all occurrences of [tex]b[/tex] with [tex]h+4[/tex] in each equation.

[tex](h+4)*\frac{h}{2} =30[/tex]

Apply the distributive property.

[tex]h(\frac{h}{2})+4(\frac{h}{2})=30[/tex]

[tex]\frac{h*h}{2}+4(\frac{h}{2})=30[/tex]

Use the power rule to combine exponents.

[tex]\frac{h^2}{2}+4(\frac{h}{2})=30[/tex]

Factor 2 out of 4 .

[tex]\frac{h^2}{2}+2(2)(\frac{h}{2})=30[/tex]

Cancel the common factor.

[tex]\frac{h^2}{2}+2h=30[/tex]

Solve for h.

Multiply each term in  [tex]\frac{h^2}{2}+2h=30[/tex]  by 2 to eliminate the fractions.

[tex]\frac{h^2}{2}*2+2h*2=30*2[/tex]

Simplify each term.

Cancel the common factor of 2.

[tex]h^2+2h*2=30*2[/tex]

[tex]h^2+4h=60[/tex]

Subtract 60 from both sides of the equation.

[tex]h^2+4h-60=0[/tex]

Factor using the AC method.

Consider the form [tex]x^2+bx+c[/tex] . Find a pair of integers whose product is [tex]c[/tex] and whose sum is [tex]b[/tex] . In this case, whose product is − 60 and whose sum is 4 .

−6, 10

Write the factored form using these integers.

[tex](h-6)(h+10)=0[/tex]

Set [tex]h-6[/tex] equal to 0 and solve for h.

Then add 6 to both sides of the equation.

[tex]h-6=0\\h=6[/tex]

Set [tex]h+10[/tex] equal to 0 and solve for h.

Then subtract 10 from both sides of the equation.

[tex]h+10=0\\h=-10[/tex]

The final solution is all the values that make [tex](h-6)(h+10)=0[/tex] true.

[tex]h=6,-10[/tex]

Given [tex]b=h+4[/tex]

Replace all occurrences of h with 6 in each equation.

[tex]b=6+4\\b=10\\h=6[/tex]

The median or the middle value of 42 48 52 54 59 61 61 64 65 67 68 70 72 75 80 is 64.

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

42 48 52 54 59 61 61 64 65 67 68 70 72 75 80

The given set of numbers is in ascending order.

There are 15 numbers.

The middle number will be the 8th number.

8th number = 64

Thus,

The median is 64.

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The large percentage obtained above will still not be a cause for celebration, because the observations demand a higher precision in the calculation results being obtained after running a logistic reg-session.

A precise calculation can be referred to or considered as a type of calculation, wherein the final results obtained are completely true and correct. Unlike approximate results, there is no scope of true and fair results in a precise calculation. Usually, rounding-off shall be avoided to obtained precise solutions at the end.

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Population standard deviation, level of significance are same.

Margin of error increased.

With increase in margin of error sample size decreases.

By dividing the population's standard deviation by the sample size and then multiplying the resulting number by the crucial factor, the margin of error—a statistical expression used to estimate how much a result will deviate from the value of the full population—can be determined.

The standard deviation of the sample statistics, if we could take several samples of the same size, is the standard error.

Population standard deviation, level of significance are same.

Margin of error increased.

Margin of error increases leads to decrease in the sample size

as the margin of error is in denominator position in sample size formula. Hence with increase in margin of error sample size decreases.

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Senior citizen tickets cost $7, while child tickets cost $3.

A mathematical formula known as a cost function is used to visualize how manufacturing costs will vary depending on the output level. In other words, given a specified quantity produced, it calculates the entire cost of production.

Senior citizen tickets should equal ST.

CT = child tickets

The school sold 11 senior citizen tickets and 12 kid tickets on the first day of ticket sales for a total of $113.

11 senior citizens equals 11ST.

12 children equals 12CT a total $113

11ST + 12CT = $113 ( REFER AS 1 )

On the second day, the school sold 10 senior citizen tickets and 2 kid tickets, bringing in $76.

10 senior citizen =10ST

2 children = 2CT

total 76

10ST + 2CT = $76 ( REFER AS 2 )

So from 1 and 2 we do elimination method

multiply eq 2 with 6 and subtracted from eq 1

60ST + 12CT = 456

That is

(60 -11)ST + (12-12)CT = 456 - 113

49ST = 343

ST = 343/49

ST = $7

the cost of senior citizen ticket is $7

10ST + 2CT = $76

10*7 + 2CT = 76

70 +2CT = 76

2CT = 76 - 70

2CT = 6

CT = $3

the cost of child ticket is $3

Senior citizen tickets cost $7 each, while child tickets cost $3 each

( to recheck from eq 1

7*11 + 3* 12 should be equal to 113

77 + 36 = 113 )

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The probability that the sample mean is greater than 18 as calculated  is 0.8413.

Given data,

n = 36, sample size

μ = 17, population mean

σ = 6, population standard deviation

when x = 18

z = (18 - 17)/1 = 1

P(x <18) = 0.8413

Therefore , the probability = 0.8413

A population's standard deviation serves as a gauge for how widely distributed its individual data points are. It's a way to express how dispersed from the mean the data is.

While a large standard deviation indicates that the data is more spread, a small standard deviation indicates that the data points are often close to the mean.

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The area of the floor in the scale drawing will be equal to 150 in².

An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely encompass the surface of a compact figure. The squared unit, which is frequently expressed as inches, square feet, etc., is the accepted unit of area.

As per the given information in the question,

Length of the classroom, l = 30 feet and,

The width of the classroom, w = 20 feet.

As per the scale drawing, the length of the classroom, l' = 15 feet

Let the scale width, w' = x feet

As we can see that the original length is twice the scale drawing.

Then, the original width also is twice the scale drawing.

So, w' = 20/2 = 10 feet.

Now, the area of the floor in the scale drawing will be,

A = wl

A = (15)(10)

A = 150 in².  

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The true inequality in the list of options is (a) 6π > 2

From the question, we have the following inequality that can be used in our computation:

6π > 2, 7π > 30, 8 - π > 5 and π + 4 < 7

The value of the constant π is 3.142

So, we solve for π in the inequality expressions

A.6π > 2

This gives

π > 2/6

Divide

π > 0.33 -- true

B. 7π > 30

Divide

π > 4.29 -- false

C. 8 - π > 5

This gives

π < 3 -- false

D. π + 4 < 7

This gives

π < 3 -- false

Hence, the true inequality is 6π > 2

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Complete question

Which inequality is true?

A. 6π > 2

B. 7π > 30

C. 8 - π > 5

D. π + 4 < 7

(17) The value of x would be 20 degrees.

(18) The value of x would be 21.25 degrees.

(20) The value of x would be 6 degrees.

What is the sum of the angles of a triangle?

The sum of the angles of a triangle is 180 degrees. This is a fundamental property of triangles and is known as the triangle sum theorem.

(17)

By using the property of the sum of angles of a triangle, we get

(x+6) + (3x+9) + (4x+5) = 180

Simplifying the left side of the equation gives:

8x + 20 = 180

Subtracting 20 from both sides of the equation gives:

8x = 160

Dividing both sides of the equation by 8 gives:

x = 20°

(18) In a right triangle, one angle is a right angle, which measures 90 degrees. If we know the measures of the other two angles in the triangle, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to find the value of x.

(2x-4) + (6x+14) + 90 = 180

Simplifying the left side of the equation gives:

8x + 10 = 180

Subtracting 10 from both sides of the equation gives:

8x = 170

Dividing both sides of the equation by 8 gives:

x = 21.25

(20) To find the value of x, we can use the fact that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. We can write an equation using this fact and the measures of the three angles given in the problem:

(2x+13) + (15x+19) = (7x+92)

Simplifying the left side of the equation gives:

17x + 32 = 7x + 92

Subtracting 7x from both sides of the equation gives:

10x + 32 = 92

Subtracting 32 from both sides of the equation gives:

10x = 60

Dividing both sides of the equation by 10 gives:

x = 6

Hence,

(17) The value of x would be 20 degrees.

(18) The value of x would be 21.25 degrees.

(20) The value of x would be 6 degrees.

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To estimate the distance across the river, Delma can multiply the number of paces she takes by the length of each pace to find the total distance she walks.

For example, if Delma takes 27 paces and each of her paces is 14 inches long, she can estimate the distance she walks by performing the following calculation:

27 paces * 14 inches/pace = 378 inches

This means that Delma estimates the distance across the river to be 378 inches, or about 31.5 feet.

It's important to note that this is just an estimate, and the actual distance across the river may be slightly different due to factors such as the terrain or the accuracy of Delma's pacing.

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Answer:

y ≤ -3x - 3

Step-by-step explanation:

The graph crosses the y axis at -3.  The slope is -3.  (0, -3) .  From that point do down vertical 3 spaces and horizontally 1 space.  You will be at the point (1,-6)  Draw a line to join those 2 points.  The inequality is ≤ that means the solutions are the points on the line and below the line.  This is shown in the pink shading.

y ≤ -3x - 3

Step-by-step explanation:

The graph crosses the y-axis at -3.  The slope is -3.  (0, -3) .  From that point do down vertical 3 spaces and horizontally 1 space.  You will be at the point (1,-6) Draw a line to join those 2 points.  

The inequality is ≤ which means the solutions are the points on the line and below the line.  This is shown in the pink shading.

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The graph of y = k/x has k = 4.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = k/x

The coordinates from the graph:

(1, 4) and (2, 2).

This can be considered as,

(1, 4) = (x, y) = (2, 2)

Now,

y = k/x

4 = k/1

k = 4

y = k/x

2 = k/2

k = 4

Thus,

The value of k is 4.

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Answer:

equation of the line should be y=3x+4.

Step-by-step explanation:

I apologize if i'm wrong :)

Answer:

Linear function:  y = x + 7.75

Step-by-step explanation:

A store sells packages of comic books with a poster. We are told that:

Let p be the cost of one poster.

Let c be the cost of one comic book.

Write a system of equations using the given information and the defined variables:

[tex]\begin{cases}p + 4c = 11.75\\p + 11c = 18.75\end{cases}[/tex]

Subtract the first equation from the second equation to eliminate p:

[tex]\begin{array}{crcrcl}&p&+&11c&=&18.75\\-&(p&+&4c&=&11.75)\\\cline{2-6}&&&7c&=&\;\;7.00\\\cline{2-6}\end{array}[/tex]

Solve for c:

[tex]7c=7.00[/tex]

 [tex]c=1.00[/tex]

Therefore, the cost of one comic book is $1.00.

Substitute the found value of c into one of the equations and solve for p:

[tex]\begin{aligned}p+4(1.00)&=11.75\\p+4.00&=11.75\\p&=7.75\end{aligned}[/tex]

Therefore, the cost of one poster is $7.75.

Now we know the cost of one poster and one comic, we can write a linear function that models the cost y of a package containing x number of comic books:

[tex]y = 1.00x + 7.75[/tex]

[tex]y =x + 7.75[/tex]

We are told that another store sells a similar package modeled by a linear function rule with initial value $6.99.  The initial value is the y-intercept of each function, i.e. the cost of the package when zero comics are sold. So the linear function for this package is:

[tex]y = x + 6.99[/tex]

To determine which store has the better deal, we need to compare the y-intercepts (the initial values). The store with the lower initial value provides a better deal because it charges less for the basic package (when the number of comic books is zero).

Since 6.99 is less than 7.75, the other store offers a better deal, as it has a lower initial cost for the basic package.

Answer:

[tex]\Huge \boxed{ \texttt{\bf{y = x + 7.75} }}[/tex]

Step-by-step explanation:

To find the linear function rule that models the cost [tex]\texttt{y}[/tex] of a package containing any number [tex]\texttt{x}[/tex] of comic books, we can use the given information:

Let's denote the cost of a poster as [tex]\texttt{P}[/tex] and the cost of a comic book as [tex]\texttt{C}[/tex]. Then, we can write two equations:

To solve these equations, we can use the method of elimination. Let's use this method to eliminate [tex]$$P$$[/tex]:

Now, substituting the value of [tex]\texttt{C}[/tex] back into equation 1:

Now that we have the cost of a poster (P) and a comic book (C), we can write the linear function rule as:

[tex]\Large \boxed{\texttt{y = x + 7.75}}[/tex]

Now, suppose another store sells a similar package modelled by a linear function rule with an initial value of $6.99. This means that the cost of a poster at the other store is $6.99. Since the cost of a comic book is the same at both stores ($1), the linear function rule for the other store is:

[tex]\Large \boxed{ \texttt{y = x + 6.99}}[/tex]

Comparing the two linear function rules, we can see that the second store has a better deal because the initial cost of a poster is lower ($6.99) compared to the first store ($7.75).

________________________________________________________

The formula for the cumulative probability of a Poisson distribution can be used to calculate the likelihood that there will be at most 2 reported car accidents over the course of a month:

Cumulative probability is equal to (number of events * e)/(average number of events per time period).

(Number of events / (-average number of events per time period)!)

In this instance, there are typically 0.05 events per time period (the likelihood that a car accident is reported at the intersection on any given day), and there are typically between 0 and 2 events per time period (at most 2 car accidents). With these values entered into the formula, we obtain:

Cumulative probability is equal to (0.05 * e(-0.05)) / 0, (0.05 * e(-0.05)) / 1, and (0.05 * e(-0.05)) / 2, respectively.

That amounts to:

Probability total = 1 + 0.05 + 0.0025

which translates to 1.0525 percent, or 105.25%. It's crucial to keep in mind that this probability exceeds 1, which is impossible. This is because the formula for cumulative probability makes the assumption that each event is independent, which means that the occurrence of one event has no bearing on the probability of the occurrence of another. The cumulative probability calculated using this formula may not accurately reflect the probability of at most 2 car accidents occurring throughout a month because in reality, the probability of a car accident occurring on a given day may be influenced by the number of car accidents that have already occurred. You would need to account for the dependencies between the events in order to calculate this probability precisely.

Answer:

9

Step-by-step explanation:

a.) cube root of 729

³√729

= 9

b.) look for a number that you will multiply thrice to get 729

which is 9 or u will use your calculator

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