The cost of a new laptop is $750 which generates a sales tax amount of 37.50. What is the sales tax rate.

Answer:

The 95% confidence interval for the true population proportion is (0.27, 0.33).

Step-by-step explanation:

The (1 - α)% confidence interval for population proportion of is:

[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

The information given is:

[tex]\hat p=0.30\\n=765\\\text{Confidence level}=95\%[/tex]

The critical value of z for 95% confidence level is, 1.96.

Compute the 95% confidence interval for the true population proportion as follows:

[tex]CI=\hat p \pm z_{\alpha/2}\cdot\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

    [tex]=0.30\pm 1.96\times\sqrt{\frac{0.30(1-0.30)}{765}}\\\\=0.30\pm 0.0325\\\\=(0.2675, 0.3325)\\\\\approx (0.27, 0.33)[/tex]

Thus, the 95% confidence interval for the true population proportion is (0.27, 0.33).

Answer:

Step-by-step explanation:

Subtract 5

Answer:

Example: Addition and subtraction are inverse operations

Answer:

40

Step-by-step explanation:

3x2=6 so 20x2=40. It is a 6.66:1 ratio.

The value of the unknown number in the equation 20/3 = ?/6 is 40.

Given the equation in the question:

20/3 = ?/6

To solve the equation 20/3 = ?/6, first represent the missing number with x:

20/3 = x/6

Cross-multiply and solve for the unknown value.

x × 3 = 20 × 6

Multiply 3 and x:

3x = 20 × 6

Multiply 20 and 6:

3x = 120

Next, divide both sides by 3:

3x/3 = 120/3

x = 120/3

x = 40

Therefore, the value of x is 40.

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Answer:

125

Step-by-step explanation:

(n-2)180

(6-2)180

=720

720-120-110-100-130-135

=125

Answer:

Step-by-step explanation:

It is a six sided figure sum of all angles should be 720 degree.

595 +x=720

x=720-595

x=125 degree

Another method

Sum of interior angles of a polygon is

= (n-2)×180=(6-2)×180= 720 degree

Answer:

Step-by-step explanation:

4x - 27 = 2(x + 9)

2x = 27 + 18

x = 45 ÷ 2 = 22.5

QP = 4(22.5) - 27 = 63 units

Answer:

Number 1

Step-by-step explanation:

-5(m + 1) ≤ 23

Distribute

-5m - 5 ≤ 23

-5m ≤ 23 + 5

-5m ≤ 28

-m ≤ 28/5

Since we divide by a negative the ≤ flips to ≥

m ≥ -28/5

Hope this helps :3

Answer:

w=38.5

l=45.5

Step-by-step explanation:

I'm not sure but I hope this helps! *You may want to check my math*

I took the area and subtracted 7, then dived it by 2. Then add back the 7 to my answer to the length.

Answer:

0.25000

Step-by-step explanation:

Answer:

1. yes

2.yes

Step-by-step explanation: you did the math right good

Answer:

420.7%

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

Plug in 2 for x and plug in 4 for y and the equation should be correct

Answer:

Length of the side of a square is 18 sqrt(2)

Step-by-step explanation:

a and b are the sides of square and c is the diagonal.

a^2+b^2=c^2

a^2+b^2= 36^2

As all sides are equal we can take b=a

2a^2=36^2

a^2= (36×36)/2

a^2 = 18×36 = 2×9×9×4

Taking squareroot on both sides we get

a= sqrt(2×9×9×2×2)

a=18 sqrt(2)

Answer:

Sawyer has to pay $10 each week to pay his mom back

Step-by-step explanation:

Sawyer got a gift card that he wants to use to purchase a video game that costs $60, but he can only cover 50% of it, that is, $30.

The remaining $30 will be covered by his mom, given he pays the money back in three weeks.

If he pays the same amount each week, then each week he should pay $30 / 3 = $10

Sawyer has to pay $10 each week to pay his mom back

Applying the exterior angle of a triangle theorem, m<WUV = 36°

The exterior angle of a triangle theorem states that the measure of the angle formed, when one side of a triangle is extended, is equal to the sum of the opposite interior angles of that triangle.

Applying the exterior angle of a triangle theorem:

m<WUV + m<UVW = m<VWX

Substitute

2x + 8 + 3x + 16 = 8x - 18

Add like terms

5x + 24 = 8x - 18

5x - 8x = -24 - 18

-3x = -42

-3x/-3 = -42/-3

x = 14

m<WUV = 2x + 8

Plug in the value of x

m<WUV = 2(14) + 8

m<WUV = 28 + 8

m<WUV = 36°

Therefore, applying the exterior angle of a triangle theorem, m<WUV = 36°

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Answer:

Your answer is c hope this helps

================================================

Explanation:

To shift f(x) to the right three units, we need to replace every x with x-3

f(x) = (x+2)^2 + 1

f(x-3) = (x-3+2)^2 + 1 .... replace x with x-3

f(x-3) = (x-1)^2 + 1

g(x) = (x-1)^2 + 1

The vertex of f(x) is (-2,1). The vertex of g(x) is (1, 1). This is one example showing every point moves three units to the right when going from f(x) to g(x).

Answer:

4 emails per minute

Step-by-step explanation:

20/5=4

Answer:

Step-by-step explanation:

8p + 3r = q

     8p  = q - 3r

      p   = (q-3r)/8

Answer:

6(x-2)+4

Slope=6

Step-by-step explanation:

Answer:

1) 1/2

2)7/10

3)11/12

4)4/96

5)43/30

6)5/40

I will do one only. You gotta do your own homework.

Answer:

Is a obtuse triangle

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

a 90 percent would be 108

Answer:

Yes she earn an A Because 90% of 120 is 108 which means that she scored 109 which means  90% of 120 is 108 which means that she scored 109  in which means approximately 91% proving that she got an A

Step-by-step explanation:

Magic

Answer:

3)7/12

4)2*14/25

5)25

hope my effort will help you in some way

Answer:

Step-by-step explanation:

3)   [tex]1\frac{3}{4}[/tex] ÷ 3 = [tex]\frac{7}{4}[/tex] ÷ 3

                [tex]= \frac{7}{4} * \frac{1}{3}\\\\= \frac{7*1}{4*3}\\\\= \frac{7}{12}[/tex]

4) [tex]1\frac{3}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex] = [tex]\frac{8}{5}[/tex] ÷ [tex]\frac{5}{8}[/tex]

             [tex]= \frac{8}{5} * \frac{8}{5}\\\\= \frac{64}{25}\\\\= 2\frac{14}{25}[/tex]

5) 10 ÷ [tex]\frac{2}{5} = 10 * \frac{5}{2}[/tex]

              = 5 * 5

              = 25

Answer:

8

Step-by-step explanation:

we have to follow PEDMAS.

what we have to do in each operation:

Parenthesis ~  100 + 8 to the second power

Exponents ~ 10 to the 2nd power, 8 to the 2nd power, 2 to the 3rd power

Multiplication  ~  none

Division ~  10 to the 2nd power - (100 + 8 to the second power) divided by 2 to the 3rd power

Addition ~ 100 + 8 to the 2nd power

Subtraction ~ 10 to the 2nd power - (100+8 to the second power)

doing the work:

we start with P: but in what we have to do in the Parenthesis, there is an exponent and addition. we do the exponent first. 8 to the second power is 64. now we can add. 100 + 64 = 164.

E: we did the 2nd exponent, but we need the other 2 for later. 10 to the 2nd power is 100, and 2 to the 3rd power is 8.

we can skip M because there isn't any multiplication to do.

D: we have to do 10 to the 2nd power - (100 + 8 to the second power) first. 100-164= 64. now we can devide. 64 devided by 8 = 8

A: we already did the addition in the parenthesis part.

S: we already did the addition in the parenthesis part.

Answer:

I believe 10

Step-by-step explanation:

the reason I believe it is 10 is because that is the main mathematical explanation for this equation

Answer:

<XWV  ≅  <XJL

<LXJ  ≅  <VXW

LJ  ≅   VW

XW  ≅   XJ

Step-by-step explanation:

From the image provided and the fact that the triangles LJX and VWX are congruent, we can say:

<XWV  ≅  <XJL

<LXJ  ≅  <VXW

LJ  ≅   VW

XW  ≅   XJ