8(8 - k) = -72k
please help

Answer:

width = 20 ft; length = 33 ft

Step-by-step explanation:

The formula for perimeter of a rectangle is P = 2l + 2w

Given that the length is seven less than twice its width, we have

[tex]l=2w-7[/tex]

We need to have only one variable or we can't solve.

Thus, we have:

[tex]106=2(2w-7)+2w\\106=4w-14+2w\\106=-14+6w\\120=6w\\20=w\\\\l=2w-7\\l=2(20)-7\\l=40-7\\\\l=33[/tex]

if the null hypothesis is rejected in hypothesis testing the alternative hypothesis is true.

The relationship between important factors of interest and any apparent connection, according to a competing theory, is most certainly not accidental. The opposite of a null hypothesis is an alternative hypothesis. If we are able to rule out the null hypothesis, it signifies that we have enough data to support the alternative hypothesis. In one test, we cannot rule out both possibilities.

If one is disproven, it indicates that there is evidence to support the other. The opposing view is that a study's potential conclusion will materialize. It claims there is no coincidence in the relationship between important components of interest and the observed connection. As a result, the alternative hypothesis is true if the null hypothesis is disproved during hypothesis testing.

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(a) H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair.

(b) The expected count for each side of the dice is 13

(c) Yes, because the expected cell count is at least 5 for all cells.

Hypothesis :

In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population. It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.

Complete question:

You play a game of dice at the state fair, but suspect the dice may have been rigged. You observe the game owner rolling the dice 78 times and note the following results:

Face "1" "2" "3" "4" "5" "6"

Observed count 8 13 18 14 19 6

(a) Which hypotheses should be used to test if the dice are fair:

Identify H0:

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are unfair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 0, implying the dice are fair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 1/6, implying the dice are fair.

-H0: p1 = p2 = p3 = p4 = p5 = p6 = 0, implying the dice are unfair.

Identify Ha:

-Ha: every p ≠ 1/6, implying the dice are unfair.

-Ha: at least one p≠ 1/6, implying the dice are unfair.

-Ha: every p ≠ 1/6, implying the dice are fair.

-Ha: at least one p ≠ 1/6, implying the dice are fair.

(b) What is the expected count for each side of the dice?

(c) Is the cell count condition met?

-No, because some cells have less than 10 observed counts.

-Yes, because the expected cell count is at least 5 for all cells.

-Yes, because the expected cell count is close to the observed cell count for all cells.

-No, because some cells have less than 30 observed counts.

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Answer:

480

Step-by-step explanation:

8 * 60 = 480

The multiple regression linear regression equation is:

i = -20000 + -60000*x1i + 40000*x2i

The multiple regression equation here will be of the form

i = a*x1i + b*x2i + c

Where i is the annual revenue

a is the coefficient of x1i which is distance from CBD

where b is the coefficient of x2i average price of a dish

C is the constant term.

Given that moving one mile away from the CBD x1i , the annual revenues will i will decrease by $60000. So, the coefficient of x1i, a is -60000

Given that increasing the average price of dish x2i by $1 , the annula revenue will i will increase by $40000. So the coefficient of x2i, b is 40000

The data shows  that the restaurant at the center of the CBD which means, x1i = 0 and giving away its food for free which means x2i = 0 is resulting in a loss of $20000. so the value of the constant term is c=20000.

so the multiple regression linear regression equation is:

i = -20000 + -60000*x1i + 40000*x2i

hence option A is correct

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The sample space for the single digit even number = {2, 4, 6, 8}

A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space.

Events are the subset of possible experiment results. Depending on the experiment, a sample space could contain a variety of results.

Given that,

Layla thinks about a positive single digit even number.

There are four single digit even numbers 2, 4, 6 and 8.

The sample space for the single digit even number = {2, 4, 6, 8}

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Answer:

y value , r i = y i − y i ^

Step-by-step explanation:

Residual = actual y value − predicted y value , r i = y i − y i ^ . Having a negative residual means that the predicted value is too high, similarly if you have a positive residual it means that the predicted value was too low. The aim of a regression line is to minimise the sum of residuals.

After 9 hours, Singer A and Singer B will both charge the same amount.

An equation in French is defined as having one or more variables, whereas an equation in English is any well-formed formula consisting of two expressions combined with an equals sign.

Solving a variable equation includes determining which variables' values result in equality. Unknowns are the variables for which the equation must be solved, while equation solutions are the unknown values that satisfy the equality. An equation is a mathematical phrase with two equal sides separated by an equal sign. An equation is 4 + 6 = 10. We can see 4 + 6 on the left side of the equal sign and 10 on the right.

The Singer A's initial fee is $50.

Singer A's hourly rate is $10.

Singer B's initial fee was $95

Singer B's hourly wage is $5.

Assume the duration after which both singers will charge the same amount = x.

Then 50 +10x =95+5x

10x-5x=95-50

5x=45

x=45/5

x=9 hours

So, after 9 hours, Singer A and Singer B will both charge the same amount.

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Answer:

This may not help but, If you have any notes try using notes to solve this.
Or you can maybe ask your teacher to go over it when you both have free time or maybe have your teacher do a practice problem before or after class! That is what I would do but I hope it helps you! Good luck!

Answer:

A.

Step-by-step explanation:

The equation of the line passing through the point (-1, -5) with slope = 6 is y = 6x - 1

The coordinates of the point = (-1, -5)

The slope of the line is the change in y coordinates with respect to the change in x coordinates of the line

The slope of the line m = 6

The slope intercept form is

y = mx + b

Where m is the slope of the line

b is the y intercept

Substitute the values in the slope intercept form

-5 = 6(-1) + b

-5 = -6 + b

b = -6+5

b = -1

The slope intercept form

y = 6x - 1

Therefore, the equation of the line is y = 6x - 1

I have answered the question in general, as the given question is incomplete

The complete question is:

Write the slope-intercept form of the equation of the line through the given point with the given slope. Through (-1,-5), slope =6

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answer:

no, because 0+0≠1 and 100+-49≠1 so the values are not a part of the system.

step-by-step explanation:

for this question, plug in the x & y values into the equation x+y=1. if the values add up to be 1, then it's possible for the system to have those solutions. hope that helps!

The simplified form of the given expression is 6x³-9x²-22x-8

To simplify a mathematical expression is to represent it in the least complicated form possible.

Given an expression, (-2x-1)(-3x²+6x+8)

(-2x-1)(-3x²+6x+8) = 6x³-12x²-16x+3x²-6x-8

= 6x³-9x²-22x-8

Hence, The simplified form of the given expression is 6x³-9x²-22x-8

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The expression -5g + 15h - 25 can be simplified as -5(g + 3h - 5)

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

In the question given, the expression is -5g + 15h - 25;

We have to simplify this to by factoring the expression.

-5g + 15h - 25 = -5(g + 3h - 5)

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When the population starts out with 8 people and triples, it will take 5 years to reach 1,944.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Here,

Initial population=8

Final population=1944

Rate of increment=3ˣ

1944=8*3ˣ

1944/8=3ˣ

243=3ˣ

3ˣ=3⁵

x=5

It will take 5 years for the population to reach 1,944 when started with with the population of 8 and increase by 3ˣ.

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The classification of the following triangles are below:

The types of triangle includes:

5. a = 180° - (56° + 84°)

= 180° - 140°

= 40°

6.

5s + (3s - 9) + 45 = 180

5s + 3s - 9 + 45 = 180

8s - 36 = 180

8s = 180 + 36

8s = 216

s = 216/8

s = 27

7. 180° - 139° = 41°

m < 1 = 180° - (41° + 83°)

= 180 - 124

m < 1 = 56°

180° - (68° + 52°)

= 180 - 120

= 60°

m < 1 = 180° - 60°

= 120°

Therefore, a triangle is a three sides polygon which also have three angles.

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The limits of the confidence interval are positive and don't include 0.

What is the confidence interval?

A confidence interval is a range of estimates for an unknown parameter in frequentist statistics. A confidence interval is calculated at a specified confidence level; the 95% confidence level is most commonly used, but other levels, such as 90% or 99%, are occasionally used.

Yes, there is a significant difference between the 2 means.

Since both the limits of the confidence interval are positive and

doesn't include 0.

Hence, the limits of the confidence interval are positive and don't include 0.

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The ball will land 67.381 feet away.

Thus, option (B) is correct.

Given:

v = 62 feet / second

[tex]\theta[/tex] = 15

h = 2.2 feet

Using the formula

Horizontal range = [tex]\dfrac{v \;cos\; \theta\; [v \;sin\;\theta + \sqrt{v^2\;sin\;\theta + 2gh]}}{g}[/tex]

Substituting the value back into the formula as

Horizontal range = [tex]\dfrac{62 \;cos\; (15)\; [62 \;sin\;(15)+ \sqrt{(62\;sin\;(15))^2 + 2g*2.2]}}{g}[/tex]

                            = 67.381 feet

Therefore, the distance is 67.381 feet.

Thus, option (B) is correct.

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The question attached here seems to be incomplete, the complete question is:

A tennis player hits the ball with an initial speed of 62 feet per second at an angle of 15", from a height of 2.2 feet. How far away does the ball land in feet? (5 points)

56.372 feet

67.381 feet

60.646 feet

47.293 feet

Simplify would be 0.4x + 2.2

Answer:

Step-by-step explanation:

The evidence is not sufficient to support the claim since the p-value is 0.1833 higher than 0.05, so e) none of the preceding.

α = significance level = 0.05

n = sample size

df = degree of freedom = n - 1 = 10 - 1 = 9

Before we find the p-value, we use t test formula. But, before that we calculate mean and standard deviation for two population with excel.

In excel we get,

[tex]\bar x_1[/tex] = 231.8

[tex]\bar x_2[/tex] = 214.8

[tex]\sigma_1[/tex] = 41.95

[tex]\sigma_2[/tex] = 37.90

Next, we can calculate t test. So,

t = [tex]\frac{\bar x_1 -\bar x_2}{\sqrt{\frac{\sigma^2_1+\sigma^2_2}{n}}}[/tex]

= [tex]\frac{231.8-214.8}{\sqrt{\frac{41.95^2+37.9^2}{10}}}[/tex]

= [tex]\frac{17}{\sqrt\frac{3,196.2125}{10}}[/tex]

= 0.9509

Using t score to p-value calculator for 0.9509, we get p-value = 0.1833.

Thus, the p-value is 0.1833 is higher than significance level 0.05 so there is no sufficient evidence to support the claim.

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An equation which describe the function g(x) after reflecting the graph of function f(x)=2|x| over the x-axis is: C. g(x) = −2|x|. g begin argument x end argument equals negative 2 begin absolute value x end absolute value.

In Geometry, a reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Mathematics, a reflection across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate would change from positive to negative. Therefore, a reflection across the x-axis is given by this transformation rule: (x, y)  →  (x, -y).

By applying a reflection across the x-axis to the function, we have;

f(x) = 2|x|

g(x) = -f(x)

g(x) = -(2|x|)

g(x) = -2|x|

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The minimum number of students required in a school are 102 , it can be calculated by multiplying the 2 quantities.

What is arithmetic?

Arithmetic is an elementary a part of mathematics that consists of the study of the properties of the normal operations on numbers—addition, subtraction, multiplication, division, involution, and extraction of roots.

Main body:

Total grades = 1 to 6 = 6

minimum students in each grade  required = 17

total students required = 6*17

                                       = 102

hence total minimum number of students required in a school are 102.

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The speed of wind is 380 miles per hour.

What is speed?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is traveling along a path.

Here, we have

The plane has a cruising speed of 200 miles per hour when there is no wind. at this speed, the plane flew 500 miles with the wind in the same amount of time it flew 300 miles against the wind.

We have to find the speed of the wind.

Time = Distance/speed

Time = 500/200 = 2.5hrs

When the plane moves against the wind its effective speed reduces as it has to overcome the opposing force of the wind since it is given that it cover's a distance of 300 miles at the same time we can write

2.5 = 300/ V(plane) - v(wind)

2.5 = 300/500- v(wind)

v(wind) =380mph

Hence, the speed of the wind is 380mph.

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Answer:

Step-by-step explanation:

a = 4, b = -5, and c = -7

for a + 2bc

4 + 2(-5)(-7)

4 + 70

74

for 3a

3(4)

12

I'm not sure if the 2 parts are connected but if you add them, the answer is 86. If you subtract them, the answer is 62. If you multiply them, the answer is 888. If you divide them, the answer is 7/6.

Could you please give me brainliest? Thank you!

The set of inequalities formed for the bounce house of Natalie are-

200x + 80y ≤ 1200 and 3x + 2y ≥ 20.

The data for the people enrolled for the bounce house.

Let 'x' be the number of adults.

Let 'y' be the number of children.

Then,

Weight of adult = 200 pounds.

Weight of children = 80 pounds.

maximum weight = 1200 pounds

Then, equation becomes-

200x + 80y ≤ 1200

For the price.

adults -$3 each and

children - $2 each

Minimum profit at least $20

3x + 2y ≥ 20.

Thus, the set of inequalities are-

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Answer:

Huh???

Step-by-step explanation:

THERE ARE NO GRAPHS!!!

Answer:

i think it's 6,000

Step-by-step explanation:

just multiple 3.0 x 2,000 and you will get 6,000