Please answer number three I give brainliest thank y’all so much!

Answer:

99% confidence interval for the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans is [0.225 , 0.405].

Step-by-step explanation:

We are given that a marketing researcher examined sales receipts for a random sample of 178 customers who purchased jeans from the firm’s Tacoma store. 56 of the customers in the sample purchased boot-cut jeans.

Firstly, the Pivotal quantity for 99% confidence interval for the population proportion is given by;

                           P.Q. =  [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]  ~ N(0,1)

where, [tex]\hat p[/tex] = sample proportion of customers who purchased boot-cut jeans = [tex]\frac{56}{178}[/tex] = 0.315

           n = sample of customers = 178

           p = population proportion of customers who prefer boot-cut jeans

Here for constructing 99% confidence interval we have used One-sample z test for proportions.

So, 99% confidence interval for the population proportion, p is ;

P(-2.58 < N(0,1) < 2.58) = 0.99  {As the critical value of z at 0.5% level

                                                 of significance are -2.58 & 2.58}  

P(-2.58 < [tex]\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < 2.58) = 0.99

P( [tex]-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < [tex]{\hat p-p}[/tex] < [tex]2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.99

P( [tex]\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] < p < [tex]\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex] ) = 0.99

99% confidence interval for p = [ [tex]\hat p-2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex], [tex]\hat p+2.58 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }[/tex]]

    = [ [tex]0.315-2.58 \times {\sqrt{\frac{0.315(1-0.315)}{178} } }[/tex] , [tex]0.315+2.58 \times {\sqrt{\frac{0.315(1-0.315)}{178} } }[/tex] ]

    = [0.225 , 0.405]

Therefore, 99% confidence interval for the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans is [0.225 , 0.405].

The interpretation of the above confidence interval is that we are 99% confident that the proportion of all customers in Tacoma, Washington, who prefer boot-cut jeans will lie between 0.225 and 0.405.

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Step-by-step explanation:

Use double and triple angle identities:

sin(2x) + cos(3x)

2 sin x cos x + 4 cos³x − 3 cos x

Answer:

-19/4

Step-by-step explanation:

-1/2 + x =-21/4

x=-21/4+1/2

x=-21/4+2/4

x=-19/4

48%

Step-by-step explanation:

add the ratio together which is 25

pick the ratio of boy

divide 12 by 25 and multiply 100

12/25×100= 48%

Answer:

48%

Step-by-step explanation:

b/g=12/13

so b/12=g/13=k

b=12k

g=13k

so b+g=25k so k=b+g/25

b=12*(b+g)/25=12*4*(b+g)/25*4=48(b+g)/100

so 48%  are boys

Answer:

48∛9 ft²

Step-by-step explanation:

The length (L) and width (W) are given by:

[tex]L = 4\sqrt[3]{24}\\ W= 6\sqrt[3]{3}[/tex]

Since this is a rectangular region, the area is given by:

[tex]A=L*W=L \\A=4\sqrt[3]{24}* 6\sqrt[3]{3}\\A=24\sqrt[3]{72}\ ft^2[/tex]

The answer can be further simplified by factoring as follows:

[tex]A=24\sqrt[3]{72} = \\A=24\sqrt[3]{2*2*2*3*3}= 24\sqrt[3]{2^3*9}\\A=48\sqrt[3]{9}\ ft^2[/tex]

The exact area is its simplest form is 48∛9 ft²

Answer:

The converse of the Pythagorean Theorem states that: If the square of the longest side of the triangle is equal to the sum of the squares of the other two sides of the triangle, then the triangle is a right triangle.

Step-by-step explanation:

Answer:

SOS

Step-by-step explanation:

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Answer:

Length of arc: 6π

Step-by-step explanation:

~ Let us answer this question in terms of π, remaining so ~

1. Assume that this is a complete circle, for the moment being. The chord with length of 12 units would act as the diameter, and using that information we could determine the circumference of this complete circle...which will help us in the future. Apply the formula π * d as such: π * 12 ⇒ 12π to get the circumference as 12π.

2. Knowing that the length of the complete circle's circumference is 12π, this arc is part of a semicircle, meaning that it's value would be half of that of the complete circle's circumference, or in other words: 12π/2 ⇒ Answer ~ Length of arc: 6π

Answer:Length of arc: 6π

Step-by-step explanation:

Answer:

x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Step-by-step explanation:

Solve for x:

-3 + sin(x) + 2 sin^2(x) = 0

The left hand side factors into a product with two terms:

(sin(x) - 1) (2 sin(x) + 3) = 0

Split into two equations:

sin(x) - 1 = 0 or 2 sin(x) + 3 = 0

Add 1 to both sides:

sin(x) = 1 or 2 sin(x) + 3 = 0

Take the inverse sine of both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) + 3 = 0

Subtract 3 from both sides:

x = 2 π n_1 + π/2 for n_1 element Z

or 2 sin(x) = -3

Divide both sides by 2:

x = 2 π n_1 + π/2 for n_1 element Z

or sin(x) = -3/2

Take the inverse sine of both sides:

Answer:  x = 2 π n_1 + π/2 for n_1 element Z

or x = π + sin^(-1)(3/2) + 2 π n_2 for n_2 element Z or x = 2 π n_3 - sin^(-1)(3/2) for n_3 element Z

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]A = lw \nl\frac{\dA}{\dt}[/tex] =[tex]\frac{\dA}{\text{d}l}\frac{\text{d}l}{\dt} + \frac{\dA}{\text{d}w}\frac{\text{d}w}{\dt}[/tex] =[tex]w\frac{\text{d}l}{\dt} + l\frac{\text{d}w}{\dt}[/tex] [tex]\nll = 20 \text{ cm}[/tex] \;\; [tex]\frac{\text{d}l}{\dt} = 8 \text{ cm/s}[/tex] \;\;w = 10 \text{ cm}, \;\;  [tex]]\frac{\text{d}w}{\dt} = 3 \text{ cm/s}[/tex] [tex]\nl\frac{\dA}{\dt} =(  10 \text{ cm} )( 8 \text{ cm/s} ) + (  20 \text{ cm} )( 3 \text{ cm/s} )  =140 \text{ cm}^2\!\text{/s} [/tex]

Given :

To find :-

Solution :-

As we know that :-

To find the rate :-

Differenciate :-

Substitute :-

Answer:

7.5h + 10b > $150

Step-by-step explanation:

h represents the amount of hours Lynn works as a hostess for a restaurant, and she gets $7.50 per hour. $7.50h is how much money she gets per hour. b represents the amount of hours Lynn spends working as a babysitter, and she gets $10 per hour. $10b is how much money she gets from babysitting per hour. The total amount of money she gets this week must be more than $150. So the answer is 7.5h + 10b > $150. Hope this helped!

Answer:

84 meters

Step-by-step explanation:

5 x 6 = 30 hypotenuse side not shown

3 x 4 ÷ 2 x 2 = 12 red (both ends)

3 x 6 = 18 green side

6 x 4 = 24 blue side

Answer:

A.

Step-by-step explanation:

The equation of circle is :

(x−a)² + (y−b)² = r²

So the equation is

(x-3)² + (y-(-2))² = (6)²

Where center = (a,b) = (3,-2) and

Radius = r = 6

Answer:

The probability of the next two customers both select key lime pie is 1/15

Step-by-step explanation:

No. of slices of cakes = 3

No. of key lime pies = 3

No. of ice cream sundaes = 4

Total deserts = 3+3+4=10

We are supposed to find The probability of the next two customers both select key lime pie

Probability of selecting key lime pie by first customer =[tex]\frac{3}{10}[/tex]

So,Total deserts =10-1=9

No. of key lime pies = 3-1=2

So,Probability of selecting key lime pie by second customer = [tex]\frac{2}{9}[/tex]

So,the probability of the next two customers both select key lime pie=[tex]\frac{3}{10} \times \frac{2}{9} =\frac{1}{15}[/tex]

Hence the probability of the next two customers both select key lime pie is 1/15

Answer:

3 possible outcomes

Step-by-step explanation

1) R R

2) R G

3) G G

Discount = [tex]\frac{15}{100}[/tex] x 75

               = [tex]\frac{1125}{100}[/tex]

               = $11.25

Answer:

green triangle

Step-by-step explanation:

The green triangle has an area of

A = 1/2 bh

A = 1/2 (15) * 19

A =142.5 ft^2

The blue triangle has an area of

A = 1/2 bh

A = 1/2(16.1) (16.4)

A =132.02 ft^2

The green triangle has a greater area

Answer:

The equation of a line y = ax + b passes point (-8, -33) and point (0, -1) can be formulated by:

(Note: we do not need all of 4 points, 2 points are enough)

-33 = a x (-8) + b

  -1 = a x 0 + b

From 2nd equation, we have:

b = -1

From 1st equation, we have:

b - 8 x a = -33

=> -1 - 8 x a = -33

=> 8 x a = 32

=> a = 4

=>  The equation of line: y = 4a - 1

Hope this helps!

:)

Answer:

Remember that logarithms are inverse of exponentials. That means the result of the logarithm is equal to the exponent of a power with the same base.

[tex]log_{10} (10)=1[/tex]

Notice that the result is one beacuse [tex]10^{1}=10[/tex]

[tex]log_{10}(10000)=4[/tex]

Because [tex]10^{4}=10000[/tex]

[tex]log_{10}(?) =7 \implies 10^{7} =10000000[/tex]

So, [tex]log_{10}(10000000)=7[/tex]

I would say to thim that [tex]x[/tex] and [tex]y[/tex] are variables of the logarithm, which be solved by imagine the logarithm as an exponential like

[tex]log_{10} (x)=y \implies 10^{y}=x[/tex]

In other words, the [tex]y[/tex] is the exponent and the [tex]x[/tex] is the result of the exponential.

Answer:

84

Step-by-step explanation:

We simply plug in 1.75 for x into y = 48x, and when we do so we get y = 48 * 1.75 = 84 cups of coffee. Hope this helps!

Answer:

B) 84

Step-by-step explanation:

48 times x is the cups of coffee sold in x hours.

if x = 1.75, then you times 48 by 1.75

48 x 1.75 = 84

Answer:

  12 1/2

Step-by-step explanation:

Multiply the equation by the inverse of the coefficient of a.

  5 = (2/5)a

  5(5/2) = (2/5)(5/2)a

  25/2 = a

  12 1/2 = a . . . . written as a mixed number

The solution is 12 1/2.

Answer:

12 1/2

Step-by-step explanation:

Answer:

  50√3 ≈ 86.6 m

Step-by-step explanation:

The geometry can be modeled by a right triangle with the height of the kite being the leg opposite the 60° angle. The hypotenuse has the given length of 100 m.

The mnemonic SOH CAH TOA reminds you that the relation between angles and the sides of interest here is ...

  Sin = Opposite/Hypotenuse

  sin(60°) = (kite height)/(100 m)

  kite height = (100 m)·sin(60°) = (100 m)(√3)/2

  kite height = 50√3 m ≈ 86.6 m

Same slopes, different constant, so parallel lines.

Answer: ... parallel because their slopes are equal.  Last choice.

Answer:

D

Step-by-step explanation:

Yes, lines l and k are parallel since they are having equal slopes

Answer:

A tangent to a circle is a straight line which touches the circle at only one point.

Step-by-step explanation:

This point is called the point of tangency. The tangent to a circle is perpendicular to the radius at the point of tangency.

Answer:

He spends $540

Step-by-step explanation:

literally just 45 multiplied by 12

Answer:

5/8 * 2 * pi *r

Step-by-step explanation:

First find the circumference of the circle

C = 2 * pi *r

Then multiply it by the fraction  of the circle  ( arc length) you wish to find

5/8 * 2 * pi *r