In an examination of purchasing patterns of shoppers, a sample of 36 shoppers revealed that they spent, on average, $50 per hour of shopping. Based on previous years, the population standard deviation is $4.80 per hour of shopping. Assuming that the amount spent per hour of shopping is normally distributed, calculate a 90% confidence interval.

Answer:

yhat=1.36+0.74x

when x=7 then yhat=6.54

Step-by-step explanation:

Th regression equation is

yhat=a+bx

where slope b is

[tex]b=\frac{nsumxy-(sumx)(sumy)}{nsumx^{2}-(sumx)^{2} }[/tex]

and intercept a is

a=ybar-bxbar

x   4   5   2   6    9

y   4   6   2   7    7

xy 16 30  4  42  63

x² 16 25  4  36  81

n=5.

sumx=26.

sumy=26.

sumx²=162.

sumxy=155.

[tex]b=\frac{5*155-(26)(26)}{5*162-(26)^{2} }[/tex]

[tex]b=\frac{99}{134 }[/tex]

b=0.7388

b=0.74 (rounded to 2 decimal places)

xbar=sumx/n=26/5=5.2

ybar=sumy/n=26/5=5.2

a=ybar-b*xbar

a=5.2-0.7388*5.2

a=5.2-3.8418

a=1.3582

a=1.36 (rounded to 2 decimal places)

Thus, the required regression equation is

yhat=1.36+0.74x

When x is 7 this gives yhat

yhat=1.36+0.74*7

yhat=1.36+5.18

yhat=6.54

Answer:

Step-by-step explanation:

3. Formula of a Cylinder + Formula of a Cone = Total

V=πr^2h + V=πr^2h

/3 = total

V = 3.14 * 36 * 10 + V = 3.14 * 36 * 10/3

V = 1,130.4 + V = 376.8 = Total

4. Formula of Cone + Formula of Cone = Total

V=πr^2h

/3 + V=πr^2h

/3 = Total

V = 3.14 * 36 * 8/3 + V = 3.14 * 100 * 8 = Total

V = 301.44 + 2,512 = Total

5. Formula of a cylinder + formula of a sphere = Total

V=πr^2h + V=4

/3πr^3 = Total

V = 3.14 * 4 * 5 + V = 4/3 * 3.14 * 8

V = 62.8 + V = 33.493 = Total

DEFINITELY hope this helped,

Kavitha

Answer:

[tex]$x=\frac{25\pi }{12} \text{ and }x=\frac{29\pi }{12}[/tex]

Step-by-step explanation:

Solve

[tex]\log_2(2 \sin x) + \log_2(\cos x) =1[/tex]

in interval [tex]$\left(2\pi, \frac{5\pi}{2} \right)$[/tex]

Remember that logarithms follow:

[tex]f(x\cdot y)=f(x)+ f(y)[/tex]

Therefore

[tex]\log_2(2 \sin x) + \log_2(\cos x) =-1 \implies \log_2(2 \sin x \cdot \cos x) =-1[/tex]

We got a double angle of sine:

[tex]\sin(2x)= 2 \sin x \cos x[/tex]

[tex]\log_2( \sin 2x ) =-1[/tex]

[tex]2^{-1}=\sin 2x[/tex]

[tex]$\frac{1}{2} =\sin 2x$[/tex]

The solutions for it are:

[tex]$2x=\frac{\pi }{6}+2\pi n \text{ and }2x=\frac{5\pi }{6}+2\pi n, \text{ as } n\in \mathbb{Z}$[/tex]

As

[tex]$x=\frac{\pi }{12}+\pi n \text{ and }x=\frac{5\pi }{12}+\pi n, \text{ as } n\in \mathbb{Z}$[/tex]

But we have the interval

[tex]$\left(2\pi, \frac{5\pi}{2} \right)$[/tex]

Therefore, the answer is

[tex]$x=\frac{25\pi }{12} \text{ and }x=\frac{29\pi }{12}[/tex]

Answer:

Step-by-step explanation:  

8.935e+6

Answer:

8.935e+6 minutes

Step-by-step explanation:

[tex]1 calendar year = 525600\\17 years\:\:\:\:\:\:\: = x\\\\x = 525600\times 17\\\\=8935200[/tex]

Answer:

A. The F statistic increases as the differences among the sample means for the exercise groups increase.

C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.

F. The F statistic is 9.2242.

Step-by-step explanation:

Given that

Observations                     Samples                             Total

40-49             10       11              9         9                        39

The degrees of freedom is given by

For numerator= k-1 = 4-1=3

For denominator= n-k= 39-4= 35

F statistic is given by

F= MS between/ MS within

=11.632991 / 1.261143 = 9.2242

Where

Mean Square Between = MS between = 11.632991

Mean Square Within = MS within = 1.261143

Hence the correct choices are  A, C and F

A. The F statistic increases as the differences among the sample means for the exercise groups increase.

C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.

F. The F statistic is 9.2242.

Suppose we have

Mean Square Between = MS between = 18.632991

Mean Square Within = MS within = 1.261143

Then F statistic would be = 14.77468 > 9.2242

which tells that The F statistic increases as the differences among the sample means for the exercise groups increase.

Answer: Option B -- 72°

Step-by-step explanation:

If a town planner wants to build two new streets, Elm Street and Garden Road, to connect parallel streets Maple Drive and Pine Avenue. Using Trapezoid E F G H is shown. F G is Maple Drive, G H is Garden road, E H is Pine avenue, and E F is Elm Street. Sides F G and E H are parallel. Angle G is 108 degrees. In trapezoid EFGH, EF ≅ HG. The measure of the angle between Elm Street and Pine Avenue is 72°

Answer:

b

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 7x + \frac{49}{4} = {(x + \frac{7}{2}) }^{2} [/tex]

Explanation:

[tex] {x}^{2} + 7x + a = {(x + b)}^{2} [/tex]

[tex] {x}^{2} + 7x + a = {x}^{2} + 2bx + {b}^{2} [/tex]

compare the x co-efficient

[tex] 7 = 2b[/tex]

[tex] b = \frac{7}{2} [/tex]

compare the constants

[tex]a = {b}^{2} [/tex]

[tex]a = {( \frac{7}{2}) }^{2} [/tex]

[tex]a = \frac{49}{4} [/tex]

Answer:

51

Step-by-step explanation:

33+2(5+8)-(6-2)2

open the brackets FIRST

2(5+8) = 26

33+26-(6-2)2

33+18

= 51

Answer:

x=1    x = -1

Step-by-step explanation:

2|5x|= 10

Divide each side by 2

2/2|5x|= 10/2

|5x|= 5

Absolute values have 2 solutions, one positive and one negative

5x = 5      5x = -5

Divide each side by 5

5x/5 = 5/5      5x/5 = -5/5

x = 1                 x = -1

Answer:

Step-by-step explanation:

● 2|5x| = 10

● 2 × |5| ×x = 10

5 is positive so |5| = 5

● 2×5× |x| = 10

● 10×|x| = 10

● |x| = 10

● x = 1 or x = -1

Answer:

x=-44

Step-by-step explanation:

4(4+2x)=7(x-4)

[expanding the brackets]

16+8x=7x-28

[grouping like terms]

8x-7x= -28-16

x= - 44

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

[tex]\boxed{x = -44}[/tex]

[tex]4(4+2x)=7(x-4)[/tex]

Solution :

[tex]4(4+2x)=7(x-4)[/tex]

[tex]( 2x + 4 ) = 7 ( x - 4 )[/tex]

[tex]4 . 2x + 4 . 4 = 7x - 7 . 4[/tex]

[tex]8x + 16 = 7x - 28[/tex]

[tex]( 8x + 16) + ( -16 - 7x ) = ( 7x - 28 ) + ( -16 - 7x )[/tex]

[tex]( 8x + 16 ) + ( -7x - 16) = (7x - 28 ) + ( -7x - 16)[/tex]

[tex]8x + 16 - 7x - 16 = 7x - 28 - 7x - 16[/tex]

[tex]8x - 7x + 16 - 16 = 7x - 7x - 28 - 16[/tex]

[tex]x = -44[/tex]

( A: The solution set is (_) Simplified )

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Have a great day/night!

❀*May*❀

Answer:

3 x^2 - x + -1

Step-by-step explanation:

Simplify the following:

-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4

Factor -1 out of -2 x^2 + 4 x - 3:

--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4

(-1)^2 = 1:

2 x^2 - 4 x + 3 + x^2 + 3 x - 4

Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):

(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)

x^2 + 2 x^2 = 3 x^2:

3 x^2 + (3 x - 4 x) + (-4 + 3)

3 x - 4 x = -x:

3 x^2 + -x + (-4 + 3)

3 - 4 = -1:

Answer: 3 x^2 - x + -1

Answer:

the answer would be 1/15, or approximately 0.067.

Step-by-step explanation:

Answer:

ab=1

Step-by-step explanation:

Assuming that you meant ab=1

[tex]x=10^{a}\\\\y=10^b\\\\x^b*y^a=100\\\\(10^a)^b*(10^b)^a=100\\\\10^{ab}*10^{ba}=100\\\\10^{ab+ba}=100\\\\10^{2ab}=100\\\\(10^2)^{ab}=100\\\\100^{ab}=100\\\\ab=1[/tex]this is because the exponents have to be equal

Answer:

One is :

C. reject the alternative hypothesis

F. accept the null hypothesis

The other is :

E. reject the null hypothesis

G. accept the alternative hypothesis

Another type of decision is when we

D. fail to reject the alternative hypothesis

E. reject the null hypothesis

and

H. fail to reject the null hypothesis

C. reject the alternative hypothesis

Step-by-step explanation:

There are two types of decisions that we can make .

One is :

C. reject the alternative hypothesis

F. accept the null hypothesis

The other is :

E. reject the null hypothesis

G. accept the alternative hypothesis

Another type of decision is when we

D. fail to reject the alternative hypothesis

E. reject the null hypothesis

and

H. fail to reject the null hypothesis

C. reject the alternative hypothesis

It is clear from the above that when we reject one hypothesis we accept the other hypothesis.

or

When we fail to reject one hypothesis we reject the other hypothesis.

Answer:

Step-by-step explanation:

Hello, do you agree that for any real number a (different from 0)

[tex]\dfrac{a}{a}=1[/tex]

?

5/5 = 1 for instance.

So, when you have the same common factor at the numerator and at the denominator you can eliminate it. For instance.

[tex]\dfrac{10}{4}=\dfrac{5*2}{2*2}=\dfrac{5}{2}\cdot \dfrac{2}{2}=\dfrac{5}{2}[/tex]

You just need to be careful with 0, as dividing by 0 is not allowed.

Hope this helps

Thank you.

Answer:

a) C = 0.18M + 70

Step-by-step explanation:

Charges:

Totals, considering number of minutes:

So the equation would be:

This is the option a)

Answer:

   1.25 acres

Step-by-step explanation:

If we assume that both the semicolon (;) and the comma (,) mean "of the", then this will be ...

  (1/4)(1/4)(1/2)(1/4)(1/4) of 640 acres = 1.25 acres

Answer:

7. 4^2 = 6

8. 7^2 = 49

9. 6^4 =1296

10. 1^2 = 1

11. 5^3 =125

12. 1^3 =1

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

Since, DE || AC... (GIVEN)

Therefore, by Basic Proportionality Theorem, we have:

BD/AD = BE/CE

(10-x) / x = 3/2

2(10 - x) = 3x

20 - 2x = 3x

20 = 2x + 3x

20 = 5x

x = 20/5

x = 4

Answer:

4

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

So

4(x-1) = x +8

4x-4=x+8

3x=12

x=4

Same result obtained when comparing the other pairs of equations.

Answer:

unit rate = cost/weight

Step-by-step explanation:

To find the unit rate, divide the cost by the weight of each brand.

The lower unit rate represents a lower price, so that is the one you choose.

Answer:

Brand B.

Step-by-step explanation: Jacob should pick Brand B because he will save money. This is because if he buys 8 ounces 6 times, he will have to pay about $17.94, but if he buys 16 ounces 3 times, he will only spend $14.97.

Hope this helps! :)

Answer:

1

Step-by-step explanation:

Hi!

First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).

For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)

So now we have (1,1). Since they're only asking for the x value, the answer is 1.

Answer:

[1, 1]

Step-by-step explanation:

Translation → [-1, 3] moves down to [-1, 1]

Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

Extended Rotation Rules

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

Then, you perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]

( not my answer cr BasketballEinstein on brainly, i just saw that the same question like this one was already answered FULLY somewhere else )

Answer:

w = ((u-5)/-4) + 1

Step-by-step explanation:

To make w an independent variable, it must be by itself, so we have

u - 5 = -4(w-1)

We divide both sides by -4

(u-5)/-4 = -4(w-1)/-4

(u-5)/-4 = w-1

Now we add 1 to both sides,

(u-5)/-4+1 = w-1+1

((u-5)/-4) + 1 = w

w = ((u-5)/-4) + 1

Answer:

u = -4w + 9.

Step-by-step explanation:

If w is the independent variable, it will be the variable you are changing.

u - 5 = -4(w - 1)

u - 5 = -4w + 4

u = -4w + 9.

Hope this helps!

Answer:

1 3/4

Step-by-step explanation:

i took this quiz its the correct answer...

Answer:

B. ! 3/4 miles

Step-by-step explanation:

I got it right on edge.

Answer:

A, D, E, F and G

Step-by-step explanation:

It is asking for the elements of the set A which are integers

Answer:

v = 23

Step-by-step explanation:

Formatting the question gives;

a = mg - kv² / m

Make v subject of the formula as follows;

(i) Multiply both sides by m

ma = m²g - kv²

(ii) Collect like terms

kv² = m²g - ma

(iii) Divide through by k

v² = (m²g - ma) / k

(iv) Take the square root of both sides

v = √ [(m²g - ma) / k]            --------------(ii)

From the question:

a = 2.8

m = 12

g = 9.8

k = 8/3

Substitute these values into equation (i) as follows;

v = √ [(12²(9.8) - 12(2.8)) / (8/3)]

v = √ [(1411.2 - 33.6) / (8/3)]

v = √ [1377.6 / (8/3)]

v = √ [1377.6 x (3/8)]

v = √ [1377.6 x 3 / 8)]

v = √ [516.6]

v = 22.73

v = 23 [to the nearest whole number]

Therefore v = 23 to the nearest whole number    

Equation for the monthly wage will be → W = 0.07S + 5000

   Given in the question,

Let the total sales of a month = $S

Therefore, commission on this sale = 7% of $S

                                                            = $0.07S

Salary of the month = $5000

Total earnings (W) of the sales person = $(0.07S + 5000)

     Therefore, equation for the monthly wage will be,

W = 0.07S + 5000

Learn more,

https://brainly.com/question/25362379

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{294}}}}}[/tex]

Step-by-step explanation:

PEMDAS is a acronym which helps you to remember the order of operations.

PEMDAS stands for :

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Let's solve

[tex] \sf{15 \times 18 + 12 + 3 + 9}[/tex]

Multiply the numbers : 15 × 18 = 270

⇒[tex] \sf{270 + 12 + 3 + 9}[/tex]

Add the numbers : 270 + 12 + 3 + 9

⇒[tex] \sf{294}[/tex]

Hope I helped!

Best regards!!

Answer:

This would equal 294

Step-by-step explanation:

i added them up