A bookstore carries 70 magazines. 70% of the magazines are women's magazines. How
many women's magazines does the bookstore carry?

The 95% confidence interval for this population proportion is (0.10,0.23).

sample size n = 125

number of people planned to take an extended vacation = 21

sample proportion (p) = 21/125 = 0.168

Confidence level = 0.95

significance level (α) = 1-0.95 = 0.05

Z score = Z(0.05) = 1.96, from the Z table.

confidence interval for a population proportion is-

p±Zα/2 *\(\sqrt{\frac{p(1-p)}{n} }\) = 0.168± 1.96\(* \sqrt{\frac{0.168(1-0.168)}{125} }\)

                             = 0.168 ± 1.96*0.334

                             = 0.168 ± 0.0655

                              = (0.1025, 0.2335)

                              = (0.10,0.23)

Hence, the confidence interval is  (0.10,0.23).

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The measure of each central angle in the regular polygon is 165 degrees.

what is angle?

The vertex of the angle, which is created by the intersection of two rays, is a geometric object known as an angle. The two rays that make up the angle are referred to as its sides or its arms. An angle's measurement is the amount of rotation required to align one of its sides with the other side by rotating one of its sides around the vertex.

According to the given information:

In a regular polygon, all exterior angles have the same measure and all interior angles have the same measure.

The exterior angle of a regular polygon is the angle formed by extending one of its sides and the adjacent side.

For any regular polygon with n sides, the measure of each exterior angle is given by:

360 degrees / n

In this case, we know that the measure of each exterior angle is 15 degrees. So we can set up an equation:

360 degrees / n = 15 degrees

Multiplying both sides by n, we get:

360 degrees = 15 degrees * n

Dividing both sides by 15 degrees, we get:

n = 360 degrees / 15 degrees = 24

Therefore, the regular polygon has 24 sides.

To find the measure of each central angle, we can use the formula:

central angle = 180 degrees - (exterior angle)

In this case, the exterior angle is 15 degrees, so the central angle is:

central angle = 180 degrees - 15 degrees = 165 degrees

So the measure of each central angle in the regular polygon is 165 degrees.

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Answer:

D: 43

Step-by-step explanation:

No need

The depth of the aquarium is approximately 4 feet when rounded to the nearest whole number (since 3.64 is closer to 4 than it is to 3 when rounded to the nearest whole number).

To calculate the depth of the aquarium, we need to use the formula for volume of a rectangular prism,

which is V = lwh where V is the volume, l is the length, w is the width, and h is the height (or depth, in this case).

Given that the aquarium holds 11.35 cubic feet of water, the volume of the aquarium can be represented by V = 11.35 cubic feet.We are also given that the length of the aquarium is 2.6 feet and the width is 1.1 feet.

Substituting these values into the formula for volume,

we get:11.35 = 2.6 × 1.1 × h

Simplifying this expression:

11.35 = 2.86h

Dividing both sides by 2.6 × 1.1,

we get:h ≈ 3.64 feet (rounded to two decimal places)

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The equation of the line with yellow point in slope intercept form is y = 7 / 6 x + 2.

The equation of a straight line can be represented in different form such as slope intercept form, point slope form, etc.

Therefore, let's represent the line with yellow point in slope intercept form.

Hence,

y = mx + b

where

Therefore, using (0, 2) and (6, 9).

m = 9 - 2 / 6 - 0

m = 7 / 6

Hence, let's find the y-intercept

y = 7 / 6 x + b

2 = 7 / 6(0) + b

b = 2

Therefore,

y = 7 / 6 x + 2.

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Answer: you read the ? and u answer

Step-by-step explanation:

Step-by-step explanation:

Hello there!

This is how we solve this problem

7/8 ÷ 2 1/4

\( \frac{7}{8} \div 2 \frac{1}{4} \: conveting \: to \: improper \: faction\\ \\ = \frac{7}{8} \div \frac{9}{4} \\ = \frac{7}{8} \times \frac{4}{9} \: multiply \: through \\ = \frac{7}{18} \)

= 7/18

I hope this helps.

Have a nice studies.

Answer:

To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.

(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x

(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|

Therefore, the rules for (fg)(x) and (gf)(x) are:

(fg)(x) = x

(gf)(x) = |x|

Step-by-step explanation:

The Nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

To determine the time the flag is in the air before Zack catches it, we can use the kinematic equation for vertical motion:

h = 16t^2 + vt + s

Where:

h is the height of the flag,

t is the time in seconds,

v is the initial vertical velocity of the flag,

s is the initial height of the flag.

In this case, the flag is thrown into the air from a height of 5 feet (s = 5) with an initial vertical velocity of 30 feet per second (v = 30). Zack catches it at a height of 7 feet (h = 7).

We can rewrite the equation as:

7 = 16t^2 + 30t + 5

To find the time (t) when the flag is at a height of 7 feet, we can rearrange the equation and solve for t. However, since this is a quadratic equation, we can also use the quadratic formula.

The quadratic equation in this case is:

16t^2 + 30t + 5 - 7 = 0

16t^2 + 30t - 2 = 0

Now, we can use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Applying the values from the quadratic equation, we have:

t = (-30 ± √(30^2 - 4 * 16 * (-2))) / (2 * 16)

Simplifying further:

t = (-30 ± √(900 + 128)) / 32

t = (-30 ± √1028) / 32

Using a calculator, we find two solutions:

t ≈ -1.08 seconds or t ≈ 0.06 seconds

Since time cannot be negative in this context, we discard the negative solution.

Therefore, to the nearest tenth of a second, the flag is in the air for approximately 0.1 seconds before Zack catches it.

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Answer:

1/3 lbs.

Step-by-step explanation:

To calculate how many more pounds of string beans were purchased than lima beans, subtract the amount of each.

\(\frac{2}{3} - \frac{1}{3} = \frac{1}{3}\)

So, Wyatt bought a third (1/3) of a pound more string beans than lima beans.

Answer:

Step-by-step explanation:

For one cake= 2/3 dozen

for 6 cakes= 2/3x6=4 dozen

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities.

If Mofor only has time to do two homework assignments out of the five subjects, he will need to choose which subjects to prioritize. The specific subjects he chooses to work on will depend on various factors such as his strengths, weaknesses, upcoming deadlines, and personal preferences. Here are a few strategies he could consider:

1. Prioritize based on importance: Mofor can prioritize the homework assignments that carry more weight in terms of grades or have upcoming deadlines. This way, he ensures that he completes the assignments that have a higher impact on his overall academic performance.

2. Focus on challenging subjects: If Mofor finds certain subjects more difficult or time-consuming, he can prioritize those assignments to allocate more time and effort to them. This approach allows him to concentrate on improving his understanding and performance in subjects that require extra attention.

3. Balance workload: Mofor can choose to distribute his efforts evenly across subjects, selecting two assignments from different subjects. This strategy ensures that he maintains a balanced workload and avoids neglecting any particular subject.

The decision of which two homework assignments to complete depends on Mofor's individual circumstances and priorities. It is essential for him to consider his academic goals, time constraints, and personal strengths to make an informed decision.

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The probability of an odd number of dots by rolling with a fair, six-sided die numbered one through six is 1/2 or 50%.

There are three odd numbers (1, 3, and 5) on a six-sided die numbered from 1 to 6. Similarly, there are three even numbers (2, 4, and 6). Since the probability of rolling any one of the six numbers is the same, and half of them are odd and half are even, the probability of rolling an odd number is 3/6 or 1/2.

To determine the probability of rolling an odd number of dots, we need to consider the possible outcomes. We can roll an odd number of dots if we roll 1 or 3 or 5 dots on a single roll of the die. We can also roll an odd number of dots if we roll an even number of dots on two or more rolls.

Since these are mutually exclusive events, we can find the probability of rolling an odd number of dots by adding the probabilities of rolling 1, 3, or 5 dots to the probability of rolling an even number of dots twice, thrice, or more times.

The probability of rolling an even number of dots on any one roll is 1/2. So, the probability of rolling an even number of dots twice is (1/2) x (1/2) = 1/4, thrice is (1/2) x (1/2) x (1/2) = 1/8, and so on.

Therefore, the probability of rolling an odd number of dots is:

P(odd) = P(rolling 1) + P(rolling 3) + P(rolling 5) + P(even twice) + P(even thrice) + ...

P(odd) = 1/6 + 1/6 + 1/6 + 1/4 + 1/8 + ...

P(odd) = 1/2

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a) The probability P(X = 3) = 0.2916 represents the probability that exactly three of the four randomly selected households have cable TV.

b) The probability that all four selected households have cable TV is: 0.6561

c) P(x ≤ 3) = 0.9477

The binomial probability is the probability of exactly x successes on n repeated trials, with p probability. The formula is:

P(X = x) = ⁿCₓ * pˣ * (1 - p)^(n - x)

where:

n = the number of trials.

x = number of times a particular outcome is attained.

p = probability of success.

a) We are given to calculate p(X = 3).

p = 0.90

n = 4

Thus:

P(X = 3) = ⁴C₃ * 0.9³ * (1 - 0.9)⁴⁻³

= 0.2916

This represents the probability that exactly three of the four randomly selected households have cable TV.

b) The probability p(4) is:

P(X = 4) = ⁴C₄ * 0.9⁴ * (1 - 0.9)⁴⁻⁴

= 0.6561

c) P(x ≤ 3)= P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

= 0.9477

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Answer:

He would have 48

Step-by-step explanation:

1 set: 8

2 sets: 16

3 sets: 24

4 sets: 32

5 sets: 40

5 sets: 48

OR

{4(8)} + 2(8)

32 + 2(8)

32 + 16

48

Have an amazing day!!

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Answers

48

Steps

4+2=6

8 times 6= 48

Answer: the answer is 40.5 cm

Step-by-step explanation:

first your gonna want to look at the numbers given and then solve.

The measure of the missing side length x in the right triangle is 1.5.

The figure in the image is a right triangle having one of its interor angle at 90 degree.

From the diagram;

Let angle θ = 30 degree

Opposite angle θ = x

Hypotenuse = 3

To solve for the missing side length x, we use the trigonometric ratio.

Note that: sine = opposite / hypotenuse

Hence:

sin( θ ) = opposite / hypotenuse

Plug in the values:

sin( 30 ) = x / 3

x = sin( 30 ) × 3

x = 1.5

Therefore, the value of x is 1.5.

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A linear programming problem consists of a linear function to be to be maximized or minimized. It is subject to a set of constraints given in the form of linear equations or inequalities.

Linear programming is the programming in which selecting the best possible choice from those available alternatives whose constraint function and the objective function can be referred to as the linear mathematical function.

Linear programming is used for the optimization of linear objective.

It is used as constrained optimization, from where the objective functions and constraints all are linear.

If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables

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Answer:

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Step-by-step explanation:

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.

Answer:

1.

a. V = s3

V = (7 km)3

V = 7 km × 7 km × 7 km

V = 343 km3

b. V = s3

V = (11 yd.)3

V = 11 yd. × 11 yd. × 11 yd.

V = 1,331 km cu. yd.

2.

a. V = l × w × h

V = 6 m × 2 m × 3 m

V = 36 m3

b. V = l × w × h

V = 5 ft. × 10 ft. × 8 ft.

V = 400 cu. ft.

3.

a. V = πr2h

V = 3.14 × (3 in.)2 × 3 in.

V = 3.14 × 9 sq. in. × 3 in.

V = 84.78 cu. in.

b. V = πr2h

V = 3.14 × (1 m)2 × 4 m

V = 3.14 × 1 m2 × 4 m

V = 12.56 m3

5.

V = s3

V = (2 ft.)3

V = 2 ft. × 2 ft. × 2 ft.

V = 8 cu. ft.

Answer: The capacity of the ice chest is 8 cubic feet.

V = πr2h

V = 3.14 × (1 ft.)2 × 3 ft.

V = 3.14 × 1 sq. ft. × 3 ft.

V = 9.42 cu. ft.

Answer: The volume of the trash can is 9.42 cubic feet.

Closet #1

V = l × w × h

V = 4 ft. × 5 ft. × 8 ft.

V = 160 cu. ft.

Closet #2

V = l × w × h

V = 6 ft. × 3 ft. × 8 ft.

V = 144 cu. ft.

Compare the size of the closets

160 cu. ft. > 144 cu. ft.

Answer: The first closet is larger.

Both the can and the pan are cylindrical shapes. Compare the volumes of the two objects.

Volume of Can

6.

V = πr2h

V = 3.14 × (1.5 in.)2 × 5 in.

V = 3.14 × 2.25 sq. in. × 5 in.

V = 35.325 cu. in.

Volume of Pan

V = πr2h

V = 3.14 × (4 in.)2 × 3 in.

V = 3.14 × 16 sq. in.× 3 in.

V = 150.72 cu. in.

35.325 cu. in. soup can < 150.72 cu. in pan

Answer: The volume of the soup can is less that that of the pan, so the soup will fit in the pan.Step-by-step explanation:

Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.

Step 1: Factor out the GCF:

2(3x + 4)

Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.

Therefore, the fully factorized form of 6x + 8 is:

2(3x + 4)

Step-by-step explanation:)

The factored expression is:

Step-by-step explanation:

To factor the expression, look at its GCF (greatest common factor).

Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :

The result is :

And now the 2 goes outside the parenthesis:

Hence, the answer is 2(3x + 4).

Answer:

Transversal and Consecutive

The number of tiles required to completely cover the floor is approximately 1673 tiles

Let find the area of the floor . Therefore,

where

l = length

w = width

Therefore,

let's convert ft to inches.

9 ft = 108 inches

8 ft = 96 inches

area = 108 × 96

area = 10, 368 inches²

Number of tiles to completely cover the floor = 10368 / 6.2

Number of tiles to completely cover the floor = 1672.25806452

Number of tiles to completely cover the floor ≈ 1673 tiles

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Step-by-step explanation:

the total sale price for the magazines were

2×4.95 = $9.90

so,

100% = 9.9

1% = 100%/100 = 9.9/100 = 0.099

6.75% = 6.75×1% = 6.75×0.099 = 0.66825 ≈ $0.67

so, he paid in total

$9.90 + $0.67 = $10.57

Answer:

9 + x^2 +25

Step-by-step explanation:

3^2= 9

X^2=x^2

5^2= 25

Answer:

1 Tyler=12in³

3 Tyler =12×3=36in³

Answer:

c) (6,5)

Step-by-step explanation:

The horizontal axis represents x values

The vertical axis represents y values

Answer:

4/15

Step-by-step explanation:

Answer:

2/5 * 2/3= 4/15, cannot be simplified.

Step-by-step explanation:

Multiply the numerators, 2*2

Denominators 5*3

Answer:

The drawing will be 5 inches long

Step-by-step explanation:

She only changed the width not the length

The required length is 2 inch.

It is required to find the required length.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Given:

The given statement is

length=5 inch

Width= 0.5 inch

Width=1 inch

length=?

First, we need to determine the ratio:

Ratio=Width/length

Ratio=0.5/1

Ratio=0.5...(i)

Let the required Length be represented with L

Ratio=Width/length

Ratio=1/L...(ii)

Equate (i) and (ii) we get,

1/L=0.5

By multiply through by L

L×1/L=0.5×L

1=0.5L

L=1/0.5

L=2 inch.

Therefore, the required length is 2 inch.

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Answer:

27

Step-by-step explanation:

243/9