The following data on x = average daily hotel room rate and y = amount spent on entertainment (The Wall Street Journal, August 18, 2011) lead to the estimated regression equation = 17.49 + 1.0334x. For these data SSE = 1541.4. Click on the webfile logo to reference the data. a. Predict the amount spent on entertainment for a particular city that has a daily room rate of $89 (to 2 decimals).
$ ______
b. Develop a 95% confidence interval for the mean amount spent on entertainment for all cities that have a daily room rate of $89 (to 2 decimals).
($_____, $_____)
c. The average room rate in Chicago is $128. Develop a 95% prediction interval for the amount spent on entertainment in Chicago (to 2 decimals).
($_____, $_____)

There is no change in its slope as initial and final slope is 1.

What is slope?

In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.

Main body:

formula for slope with two points form is =

y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)

according to question ,

points are (0,0) and (3,3)

y - 0 = (3-0/3-0)(x -0)

y = 3/3 *x

y = x

hence slope of line is 1.

Now points are (0,0) and (-3,-3).

y - 0 = (-3-0/-3-0)(x -0)

y =- 3/-3 *x

y = x

hence slope of line is 1.

So there is no change in its slope.

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Answer:

40 m^3

Step-by-step explanation:

Volume of a pyramid =  1/3 * base area * height

  base area = 4 x 4

1/3 * (4x4) * 7.5 = 40 m^3

Answer:

4x-13 = 2x+9 ( i think it was exterior angle property i dont remember but its true)

so, solving that eq,

4x-2x = 9+13 (grouping variables and constants)

2x=22

x=11

also, 2x+9 and 3y+2 are on a transversal, and are supplementary angles (add up to 180°)

so, solving for x in 2x+9,

2(11)+9 = 22+9 = 31°

now, 31 + 3y+2 =  180

3y = 180 - 33

y = 147/3 = 49

(hoping you understood the calculations :)

Answer:

Grogg's dad is 22

Step-by-step explanation:

Let D = dad's current age

Let g = Grogg's current age

6(d - 7) = g - 7 → 6d - 42 = g - 7 → 6d -35 = g

4(d - 3) = g - 3 → 4d -12 = g - 3 → 4d -9 = g

Set the two equations equal to each other and solve for d

6d - 35 = 4d - 9  Subtract 4d from both sides

2d -35 = -9  Add 35 to both sides

2d = 44  Divide both sides by 2

d = 22

Helping in the name of Jesus.

Answer:

Step-by-step explanation:

d = current dad age

g = current grogg age

d-7 = 6(g-7)

d-3 = 4(g-3)

Let's solve the first equation first:

Add 7 to both sides: d - 7 +7 = 6g - 42 + 7 so d = 6g - 35

Substitude d = 6g - 35 for d in d - 3 = 4g - 12

(6g-35)-3 = 4g-12 = 6g-38 = 4g-12

Subtract 4g from both sides: 2g - 38 = -12

Add 38 to both sides: 2g = 26

Easy: g = 13

And now substitude g in for any equations.

d-3 = 52-12

d = 43

Answer:

47.32

Step-by-step explanation:

Complete Question

Bacteria culture A culture of the bacterium Rhodobacter sphaeroids initially had 30 bacteria and t hours later increases at a rate of 2e^2t 1 bacteria per hour. Find the population size after four hours

Answer:

3010

Step-by-step explanation:

We were given the rate: 2e^2t

Step 1

We would integrate

P = Population

dP/dt = 2e^2t

dP =( 2e^2t) dt

∫dP = ∫ 2e^2t dt

P(t) = (2e^2t)/2 + C

P(t) = e^2t + C

Step 2

We solve for C

The culture initially has 30 bacteria

When t = 0

P(0) = 30

P(0) = e^2t + C

30 = e^2× 0 + C

30 = 1 + C

C = 30 - 1

C = 29

Step 3

Find the population size after four hours

t = 4, C = 29

P(t) = e^2t + C

P(4) = e^2 × 4 + 29

P(4) = e^8 + 29

P(4) = 3009.957987

Approximately = 3010 bacteria

Answer:

h(6) = 7

Step-by-step explanation:

Given that,

→ x = 6

Then the value of h(6) will be,

→ h(x) = 2x - 5

→ h(6) = 2(6) - 5

→ h(6) = 12 - 5

→ [ h(6) = 7 ]

Hence, the answer is 7.

Answer:

12 cm^3

Step-by-step explanation:

Volume of one cube is 1/2 * 1/2 * 1/2 = 1/8 cm^3Volume of prism is 1/8 * 96 = 12 cm^3

Answer:

potential solutions- 1

extraneous solutions- 0

solution to equation- x=3

Step-by-step explanation:

Answer:

x = 4

m<AXC = 150

Step-by-step explanation:

m<1 + m<2 = m<AXC

102 + 10x + 8 = 6(6x + 1)

10x + 110 = 36x + 6

26x = 104

x = 4

m<AXC = 6(6x + 1)

m<AXC = 6(24 + 1)

m<AXC = 150

Answer:

13/5 mi/hr, or 2 3/5 mi/hr

Step-by-step explanation:

Here we want the rate in "miles per hour."

Obtain this as follows:

 3 1/4 miles         13/4 mi

------------------- = --------------- = 13/5 mi/hr, or 2 3/5 mi/hr

  1 1/4 hours           5/4

Answer:

C

Step-by-step explanation:

I used the formula. it took a long but i got it! Brainly pls!

A, percentages

You would see percentages on a circle graph, because it's how many parts of the whole that they take up.

Happy to help, have a great day! :)

0.586 is already in simplest form but we can round if you choose to do so.

Round to the nearest hundreth.

0.586 -> 0.59

Round to the nearest tenth.

0.586 -> 0.6

Round to the nearest one.

0.586 -> 1

Best of Luck!

Step-by-step explanation:

a)

The given fraction is positive.

Positive divided by positive is positive.

Negative divided by negative is positive.

Answer: -7/-8

b)

The given fraction is negative.

Positive divided by negative is negative.

Negative divided by negative is negative.

Answer: 5/-2, -5/2

The intermediate step in completing the square is\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\)

To complete the square for the equation \($(x+a)^2=b$\), we can follow these steps:

1. Expand the left side of the equation: \($(x+a)^2 = (x+a)(x+a) = x^2 + 2ax + a^2$\).

2. Rewrite the equation by isolating the squared term and the linear term: \($x^2 + 2ax = b - a^2$\).

3. To complete the square, take half of the coefficient of the linear term, square it, and add it to both sides of the equation:

\($x^2 + 2ax + (a^2) = b - a^2 + (a^2)$\).

4. Simplify the right side of the equation: \($x^2 + 2ax + (a^2) = b$\).

This step can be represented as: \(\[x^2 + 2ax + (a^2) = b - a^2 + (a^2)\]\)

This intermediate step helps us rewrite the equation in a form that allows us to factor it into a perfect square.

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Using the distance formula, \(CB=\sqrt{(-2-1)^2 +(2-3)^2}=\boxed{\sqrt{10}}\).

Step 1: Write the dividend and divisor:

\(\sf\:\frac{{x^3 - 8x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 2: Divide the first term of the dividend by the first term of the divisor:

\(\sf\:\frac{{x^3}}{{x}} = x^2 \\ \)

Step 3: Multiply the divisor (x - 4) by the result (x^2):

\(\sf\:(x - 4) \cdot (x^2) = x^3 - 4x^2 \\ \)

Step 4: Subtract the result from the original dividend:

\(\sf\:(x^3 - 8x^2 + 6x + 41) - (x^3 - 4x^2) = -4x^2 + 6x + 41 \\ \)

Step 5: Bring down the next term from the dividend:

\(\sf\:\frac{{-4x^2 + 6x + 41}}{{x - 4}} \\ \)

Step 6: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-4x^2}}{{x}} = -4x \\ \)

\(\sf\:(x - 4) \cdot (-4x) = -4x^2 + 16x \\ \)

\(\sf\:(-4x^2 + 6x + 41) - (-4x^2 + 16x) = -10x + 41 \\ \)

Step 7: Bring down the next term from the dividend:

\(\sf\:\frac{{-10x + 41}}{{x - 4}} \\ \)

Step 8: Repeat steps 2-5 with the new dividend:

\(\sf\:\frac{{-10x}}{{x}} = -10 \\ \)

\(\sf\:(x - 4) \cdot (-10) = -10x + 40 \\ \)

\(\sf\:(-10x + 41) - (-10x + 40) = 1 \\ \)

Step 9: There are no more terms to bring down, so the division is complete.

Step 10: Write the final result:

The quotient is \(\sf\:x^2 - 4x - 10\\\) and the remainder is 1.

Therefore, the division of \(\sf\:(x^3 - 8x^2 + 6x + 41) by (x - 4) \\\) is:

\(\sf\:(x^3 - 8x^2 + 6x + 41) ÷ (x - 4) \\ \) \(\sf\:= x^2 - 4x - 10 + \frac{{1}}{{x - 4}} \\ \)

Answer:

$57.60

Step-by-step explanation:

2/5 = 0.4

0.4*96 is 38.4

96-38.4 = 57.6

The gadget is discounted $38.40 off the original price of $96 and now costs $57.60

Answer:

-0.756

Step-by-step explanation:

N1 = 9

N2 = 9

Sd1 = 1.5 hours

Sd2 = 1.3 hours

X1 = 5 hours

X2 = 5.5 hours

Hypothesis

H0: mu1 - mu2 = 0

H1 : mu1 - mu2 not equal to 0

Test statistic

t = (x1 - x2)/SE

SE is the standard error, which is unknown

SE = √sd1²/n1 + sd2²/n2

= √1.5²/9 + 1.3²/9

= √0.25+0.1878

= √0.4378

= 0.66166

t statistics = (5-5.5)/0.66166

= -0.5/0.66166

= -0.756

Step-by-step explanation:

Step 1:  Determine a set of data that has a mean of 21

Having a mean of 21 means that the average of the numbers are 21.  So we can have a set like {20, 21, 22} that would give us a mean of 21.  It really depends on the options that you are given in the problem.

Answer:

90900909909090909334866784877

or 9.0900909909090909334866784877 × 10²⁸

Step-by-step explanation:

Answer:

Hope this Helps!!

Step-by-step explanation:

Have an amazing day!! <33

Answer:

A square

Step-by-step explanation:

A square meets the requirements of a parallelogram.

Answer:

Are we suppose to answer the equation to? ( reply and i will put the answers in the comment )

Step-by-step explanation:

Answer:

y= -1/3x - 5

Step-by-step explanation:

Answer:

The answer would be y=-1/3x-7.

Step-by-step explanation:

Using the formula y2-y1/x2-x1 to find the slope of the line, plug in the numbers and you will get a slope of -1/3. Now using the the formula y-y1=m(x-x1) and plug in the numbers, and you will get the equation y=-1/3x-7.

Answer:

Move all terms not containing  a  to the right side of the equation:

a/5 = 11

Multiply both sides of the equation by 5:

5  x a 5  =  5  x  11

Simplify both sides of the equation:

a=55

Step-by-step explanation:

Step by step-

1. Find common denominator

2. Combine fractions with common denominator

3. Multiply the numbers

4. Multiply all terms by the same value to eliminate fraction denominators

5. Cancel multiplied terms that are in the denominator

6. Multiply the numbers

7. Add 10 to both sides of the equation

8. Simplify

(THE PHOTOS SHOW YOU HOW TO DO IT STEP BY STEP IM SORRY, ITS ALOT!)

The ratio of girls to boys in the class is 3:7.

To calculate the ratio of girls to boys in the class, we need to determine the number of girls in the class.

Given that there are 50 students in total and 35 of them are boys, we can find the number of girls by subtracting the number of boys from the total number of students:

Number of girls = Total number of students - Number of boys

Number of girls = 50 - 35

Number of girls = 15

Now that we know there are 15 girls in the class and 35 boys, we can calculate the ratio of girls to boys.

Ratio of girls to boys = Number of girls / Number of boys

Ratio of girls to boys = 15 / 35

To simplify the ratio, we can divide both the numerator and denominator by their greatest common divisor, which in this case is 5:

Ratio of girls to boys = (15 ÷ 5) / (35 ÷ 5)

Ratio of girls to boys = 3 / 7

This means that for every 3 girls, there are 7 boys in the class. The ratio provides a relative comparison of the number of girls to the number of boys, helping to understand the gender distribution within the class.

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The grapefruit's volume in cubic centimeters to the nearest tenth is equal to 775.8 cubic centimeters.

Mathematically, the volume of a sphere can be calculated by using this mathematical expression:

Volume = 4/3 × πr³

Where:

r represents the radius.

Based on the information provided about the grapefruit, the diameter of the sphere is given by;

Diameter of sphere = 11.4 cm

Radius = diameter/2 = 11.4/2 = 5.7 cm.

Substituting the given points into the volume of a sphere formula, we have the following;

Volume of sphere = 4/3 × 3.142 × 5.7³

Volume of sphere = 775.8 cubic centimeters.

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Answer:

E: The study was not comparative—only one treatment was used.

Step-by-step explanation:

Well-designed experiments should involve comparisons of at least two treatment groups, one of which could be a control group.

A well-designed experiment investigates design features that achieve the research to rule out sources of variation as reasons for the observed relationship between both the independent variable(s) and the predictor variables.

Therefore, the final answer is "Option E".

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