Data was collected on the amount of food (in grams) served at two restaurants and the price paid for the meal. The regression line for the data appears on the first plot. The second plot shows the regression analysis conducted when the data is analyzed separately for each of the two restaurants. Which of the following statements best describes the relationship between the variables?

a. The correlation between amount of food served and price is very strong within each restaurant, but seems weak when both restaurants are combined.
b. The correlation between amount of food served and price is strong.
c. The correlation between amount of food served and price is weak within each restaurant, but seems strong when both restaurants are combined.
d. The correlation between amount of food served and price is weak.

The value of 4ˣ for x = -2  and x = 3 is 0.0625 and 64 respectively.

The formula for an exponential function is f (x) = aˣ, where x is a variable and a is a constant that serves as the function's base and must be bigger than 0. The transcendental number e, or roughly 2.71828, is the most often used exponential function basis.

Given function 4ˣ

when x = -2

4ˣ = 4⁻²

using a⁻ⁿ = 1/aⁿ

4⁻² = 1/4² = 1/16

4⁻² = 0.0625

and x = 3

4ˣ = 4³

4³ = 4 x 4 x 4 = 64

Hence the values are 0.0625 and 64 for x = -2 and 3.

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Answer:

N

Step-by-step explanation:

Yeah cos it's like n ya know ueuehd

Answer:

D.

Step-by-step explanation:

This is the only one that sounds correct

Answer:

i  cant read it oh i zoomed in B

Step-by-step explanation:

Answer:

5/11

Step-by-step explanation:

&add up the decimals I think

Answer:

x = 4

Step-by-step explanation:

Given:

(√x + 2)(√x - 2) = 0

Required:

Find x

SOLUTION:

√x(√x - 2) + 2(√x - 2) = 0 (distributive property)

x - 2√x + 2√x - 4 = 0

x - 4 = 0

x - 4 + 4 = 0 + 4

x = 4

Answer:

2400

Step-by-step explanation:

150 times 4 = 600 times 4 = 2400

Answer:

30 minutes

Step-by-step explanation:

150 sec. x 4 = 600 sec.

600 sec. per mile

600 sec. x 3 = 1800 sec.

1800 sec. / 60 sec. = 30 min.

Answer: 30 drinks

Step-by-step explanation:

From the question, we are informed that Colin made 4 drinks in 12 minutes during his training. This shows that a drink is made in (12/4) = 3 minutes.

Since he will work for 90 minutes, the number of drinks that he will make will be:

= 90/3

= 30 drinks

Answer:

[tex] \frac{1}{2} {x}^{2} + 10 + \frac{1}{4} x[/tex]

Step-by-step explanation:

[tex] \frac{1}{2} {x}^{2} + 2 + \frac{1}{4} x + 8[/tex]

[tex]2 + 8 = 10[/tex]

[tex] \frac{1}{2} {x}^{2} + 10 + \frac{1}{4} x[/tex]

Answer:

$27 is left over.

Step-by-step explanation:

If you divide 36 by 4, you can find out what 1/4 of 36 is. 36/4 = 9

This $9 is how much he gave away to his brother. In order to find out how much he has leftover for himself, subtract the $9 from the $36.

36-9 = 27.

Therefore, Aaron has $27 leftover for himself.

Answer:

12 months

Step-by-step explanation:

Set up a formula; 75 + 15x = 255

Now, solve for x, which is number of months.

subtract 75 from both sides.

15x = 180

divide both sides by 15.

x = 12

x is equal to 12 - she would have had to have the subscription for 12 months to spend 255$.

Answer:

Definitely 3/4!

Step-by-step explanation:

Option A = 7.5

Option B = 66.6%

Option C = 75% (because 25 times 4 is equal to 100%, so 25 times 3 would be 75)

Option D = 6/10 or 60%

The values that are equivalent to 75% are A) 75/100 (0.75) and C) 3/4.

To determine whether these values are equivalent, let's evaluate each expression and compare the results.

A) 75% can be written as a decimal by dividing 75 by 100:

75% = 75/100 = 0.75

B) 2/3 is already in fractional form and cannot be simplified further.

C) 3/4 is also in fractional form and cannot be simplified further.

D) 3/5 is in fractional form and cannot be simplified further.

Now let's compare the decimal equivalents:

0.75 = 75/100

2/3 = 0.666...

3/4 = 0.75

3/5 = 0.6

Comparing the decimal values, we can see that A) 0.75 and C) 0.75 are equivalent, as they both represent 75% in decimal form.

However, B) 2/3 and D) 3/5 do not equal 0.75 and are therefore not equivalent to 75%.

Hence, the values that are equivalent to 75% are A) 75/100 (0.75) and C) 3/4.

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Answer:

c.

Step-by-step explanation:

4/3 pi r²

4/3 × 3.142 or 22/7 × 3.5²

Answer:

$247.94

Step-by-step explanation:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

x = -4

Step-by-step explanation:

8x - 3 = 5(2x + 1)

8x - 3 = 10x + 5

8x - 10x = 5 + 3

-2x = 8

x = 8/-2

x = -4

Answer:gd

Step-by-step explanation:

Vygfy

Answer:

y = (7w - 3m) / 3a

Step-by-step explanation:

w = 3/7ay + 3/7m

multiply each side by 7 to eliminate fractions

7w = 3ay + 3m

3ay = 7w - 3m

y = (7w - 3m) / 3a

Answer:

y=3/4x-2

Step-by-step explanation:

Answer:

y=3/4x-2

Step-by-step explanation:

y-intercept: -2

slope: 3/4

Answer:

Step-by-step explanation:

-6=3/2z

-12z=3

z=-4

Answer:

384 square meters.

Step-by-step explanation:

Given that a cube has a lateral surface area of 64 square meters, to find the total surface area of the cube, the following calculation must be performed, knowing that the formula to calculate the area of a cube is to multiply by 6 (the number of sides of the cube) the area of one of its sides:

A x 6 = X

64 x 6 = X

384 = X

Thus, the area of the cube is 384 square meters.

Answer:

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution, the central limit theorem, and subtraction of normal variables:

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Subtraction of normal variables:

When we subtract two normal variables, the mean is the subtraction of the mean of each variable, while the standard deviation is the square root of the sum of each variance.

Method A:

One student: N(75,30), so [tex]\mu = 75, \sigma = 30[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{30}{\sqrt{100}} = 0.3[/tex]

Method B:

One student: N(74,40), so [tex]\mu = 74, \sigma = 40[/tex]

Samples of 100 students: [tex]n = 100, s = \frac{40}{\sqrt{100}} = 0.4[/tex]

What is the probability that the mean score for the B group will be at least five points higher than the mean score for the A group?

This is the probability that B - A >= 5. So

[tex]\mu_{B-A} = \mu_B - \mu_A = 74 - 75 = -1[/tex]

[tex]s_{B-A} = \sqrt{s_A^{2}+S_B^{2}} = \sqrt{(0.3)^2+(0.4)^2} = 0.5[/tex]

We have to find 1 subtracted by the pvalue of Z when X = 5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5 - (-1)}{0.5}[/tex]

[tex]Z = 12[/tex]

[tex]Z = 12[/tex] has a pvalue of 1

1 - 1 = 0, so

0% probability that the mean score for the B group will be at least five points higher than the mean score for the A group

Answer:

ehjrbbvhbvebvuhbdhvhdhsduhsdbrhw

Step-by-step explanation:

Answer:

X=3

Step-by-step explanation:

3 is in the middle of the figure.

I hope this helps!

Answer:

im not sure i understand the question

Step-by-step explanation:

80.50 plus........plus what?

i am confusion

Answer:

c

Step-by-step explanation:

if the sides are in proportion set the proportions

6.21/ 5.4 = x/2.6; cross multiply

5.4*x = 6.21 *2.6; divide by 5.4

x= 2.99

Answer: we multiply the second equation by -2. This property is the multiplication property of equality (1).  

Then, we add the two equations generated. (2) addition property of inequality.

Next, we divide both sides of the equation by 13. That is division property of inequality.  

Moreover, we substitute the value obtained for y in the first equation. This is substitution property of equality.  

Then, we simplify

Next, we add +3 to both sides of the equation in order to have an equation with only one side having a variable. That is addition property of equality.  

Lastly, we divide both sides of the equation by 4. This is division property of equality.

Step-by-step explanation:

Answer:

m=2

Step-by-step explanation:

5-1/3-1

4/3-1

4/2

2

I hope this helps

Answer:

it is 100000000 i think i am not sure either

Answer:

$6.39

Step-by-step explanation:

b= batch

1b=$0.71

9b=?

9b=9($0.71)

9b=$6.39