Suppose that 42% of students of a high school play video games at least once a month. The computer


programming club takes an SRS of 30 students from the population of 792 students at the school and finds that


40% of students sampled play video games at least once a month. The club plans to take more samples like this.


Let represent the proportion of a sample of 30 students who play video games at least once a month.


What are the mean and standard deviation of the sampling distribution of p?


Choose 1 answer:


Hy = 0. 42


Op =


0. 42 (0. 58)


30


Hg = (30)(0. 42)


в)


Op = 130(0. 42)(0. 58)

Answer:

it takes Robert 3 years to get $72

Step-by-step explanation:

Answer:

$72 i think

Step-by-step explanation:

Answer:

€18 is the answer

If you’ve been given an estimate, use that to determine how much £13.50 would be by cross multiplying

The height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

The volume of the cylinder can = 1000 cubic cm

Consider the height of the cylinder as h and the radius of the base is r

Volume of the cylinder = π\(r^2\)h = 1000

h = 1000 / π\(r^2\)

The surface area of the cylinder

A = 2π\(r^2\) + 2πrh

A = 2π\(r^2\) + 2πr(1000 / π\(r^2\) )

A = 2π ( \(r^2\) + 1000 / π\(r^2\))

Differentiate the terms

A' =  2π (2r + 1000 / π\(r^3\))

When the minimum surface area

2π (2r + 1000 / π\(r^3\)) = 0

r = \((1000/2\pi )^\frac{1}{3}\)

r = 5.41 cm

Then,

h =  1000 / π\(r^2\)

= 1000 / (π × 5.41 × 5.41)

= 1000 / 91.94

= 10.87 cm

Hence, the height of the cylinder is 10.81 cm and the radius of the cylinder is 5.41 cm

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If Phil received £235 in the ratio 3:5, we can use this information to find out how much money was shared in total.

We know that the ratio of Samantha's share to Phil's share is 3:5.

This means that for every 3 parts of the total money that Samantha gets, Phil gets 5 parts.

We can use this information to set up a proportion:

(Samantha's share) / (Phil's share) = (3) / (5)

We know that Phil's share is £235, so we can substitute that into the proportion:

(Samantha's share) / (235) = (3) / (5)

To find the total amount of money shared, we can cross-multiply and divide:

Samantha's share = (3/5) * 235

Samantha's share = 141

To find the total amount of money shared, we can add the amount Samantha received to the amount Phil received:

141 + 235 = £376

Therefore, £376 was shared in total.

Three friends decide to share the cost to rent an apartment equally. The apartments that they are considering cost at least 1 200 per month. Write and solve an inequality to represent each person's share of the rental cost​

Lets highlight some key words.

There are three friends and they equally have to share an unknown amount of number to earn up to the 1200 per month,

X=Amount needed to pay the rent fee.

Since there are 3 friends and they have to split we have to multiply,

3x, "At least" is less than or equal to so .

3x \(\leq\)

Additionally theres 1200 per month so the friends need to share there rent and 1200 is the total it should be put as

3x \(\leq\) $1200

To add up to the rent, and to solve the inequality

we have to do the opposite of multiplication, and divide.

1200/3 = 400, x \(\leq\) 400

The algebraic equation that can be used to find the distance, x, between Abigail and David is x = 3 + 2b.

Let's break down the given information and determine the equation to find the distance, x, between Abigail and David.

Carmela is halfway between Abigail and David: This means that the distance between Abigail and Carmela is equal to the distance between Carmela and David. Let's denote this distance as d.

The distance between Abigail and Ben is 3 feet: Let's denote this distance as 3.

The distance between Carmela and David is twice the distance between Carmela and Ben: Let's denote the distance between Carmela and Ben as b. Therefore, the distance between Carmela and David is 2b.

Based on the given information, we can construct the equation:

Distance between Abigail and David = Distance between Abigail and Carmela + Distance between Carmela and David

x = d + 2b

Now, let's substitute the given information into the equation:

x = d + 2b

x = 3 + 2b

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Answer:

7.5 gallons

Step-by-step explanation:

you do 180 divided by 40 = 4.5

you then do 105 divided by 35=3

you then add 4.5 gallons and 3 gallons to get 7.5 gallons

3.10

Step-by-step explanation:

If you round 3.14 to the nearest tenth 4 is nearer to 10 than 20. Therefore, the answer is 3.10

Answer:

The answer should be -15

Step-by-step explanation:

Hope this helps

Answer:

-15 my dude

Step-by-step explanation:

2+(-15)=13

Hope this helps :)

Answer

number of side(n)=6

formula to calculate each interior angle =((n-2)×180)/n

now,

((6-2)×180)/6

(4×180)/6

720/6

120

may this will help you

Answer:

120°

Step-by-step explanation:

n = 6

Work:

\(\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120\)

Answer:

4?

lol

Step-by-step explanation:

The value of x from given linear equation is -4.

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

For example, 2x+3=8 is a linear equation having a single variable in it.

Given that x + 16 + x = – 3 x – 4

To find the value of x solving the given linear equation

x + 16 + x = – 3 x – 4

⇒ 2x + 16 = -3x - 4

⇒ 2x + 3x = -4 -16

⇒ 5x = -20

⇒ x = -20/5

⇒ x = -4

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The probability that the product is an odd number when you roll four dice and multiply their values together is 0.0416.

4 dice are rolled when we have

6 × 6 × 6 × 6 = 6⁴ = 1296

several potential outcomes Each dice contains six potential results.

Therefore, the likelihood of any certain pattern is 1 ÷ 1296.

To depict the intended outcome of two identical odd integers added together, we must determine how many sequences there are.

Every dice has 3 of the 6 possible outcomes for an odd number.

The patterns for two identical odd numbers when we use two dice are

1 1

3 3

5 5

Therefore, 3 out of 36, which is comparable to 2 equals even integers.

2 2

4 4

6 6

3 out of a total of 36.

This results in 3 3 out of the available 36 36 and 9 out of the available 1296 patterns when combined for a roll of 4 dice.

that means the probability of a particular combination of 2-and-2 dice is 9 ÷ 1296 = 1 ÷ 144 = 0.006944444... but there are 4! ÷ (2! 2!) = 6 possibilities (pick 2 out of 4, where the order of the picked ones does not matter) to choose 2 dice out of 4 and to show the same sequence across the 4 dice, as for the fundamental pattern 1 1 2 2 we can have.

1 1 2 2

1 2 1 2

1 2 2 1

2 1 2 1

2 1 1 2

2 2 1 1

There are 6 different ways these 9 patterns can be combined.

Therefore, to calculate the overall probability, we must multiply each pattern's probability by 6.

(1 ÷ 144) × 6 = 6 ÷ 144 = 1 ÷ 24 = 0.041666666...

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The statement is true. If matrices A and B are similar n x n matrices, then they have the same characteristic polynomial, and thus the same eigenvalues.

Similar matrices have the property that they can be expressed in terms of each other through a similarity transformation. This means that there exists an invertible matrix P such that A = P⁻¹BP.

The characteristic polynomial of a matrix is defined as det(A - λI), where A is the matrix, λ is the eigenvalue, and I is the identity matrix. Since A and B are similar, we can express B as B = PAP⁻¹.

The characteristic polynomial of B:

det(B - λI) = det (PAP⁻¹ - λI)

= det(PAP⁻¹ - PλIP⁻¹) (since P⁻¹P = I)

= det(P(A - λI)P⁻¹)

= det(P) × det(A - λI) × det(P⁻¹)

= det(A - λI)

As you can see, the characteristic polynomial of B is equal to the characteristic polynomial of A, which implies that they have the same eigenvalues.

Therefore, if matrices A and B are similar nxn matrices, they have the same characteristic polynomial and the same eigenvalues.

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The speed of the distance between the two planes is increasing at 325 mph as they approach JWD Airport.

The two planes form a right triangle, with the jet flying due east at 450 mph and the turboprop approaching from the south at 275 mph. The hypotenuse of the triangle is the distance between the planes, and the length of the hypotenuse is changing as the planes approach the airport. The rate of change of the length of the hypotenuse is equal to the sum of the rates of change of the two sides of the triangle, which are the speeds of the jet and the turboprop. As they are both 100 miles from the airport, the speed of the distance between the two planes is equal to the sum of the two speeds, or 450 mph + 275 mph = 325 mph. Therefore, the distance between the two planes is changing at a rate of 325 mph.

Rate of change of distance between the planes = Rate of change of jet + Rate of change of turboprop

= 450 mph + 275 mph

= 325 mph.

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The sum of angle in a triangle is 180°

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC.

The sum of angle A, B and C is 180 i.e A+B +C = 180°

Also a triangle is a 3 sided polygon. The sum of of angle in a polygon is( n-2)180

How do we prove that the sum of angle in a triangle is 180°?

Since triangle is 3 sided, n= 3, because n denote the number if sides

therefore the sum of angle = (n-2) 180 = (3-2)×180

= 180°

therefore the sum of angle In a triangle is 180°

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Answer:

t squared over  9

Step-by-step explanation:

9514 1404 393

Answer:

  D.  37.5 square units

Step-by-step explanation:

There are a couple of ways to figure this.

1. The altitude KM is the geometric mean of the segment lengths ML and MJ

  KM = √(ML·MJ)

  ML = KM²/MJ = 36/8 = 4.5

Then LJ = 4.5 +8 = 12.5, and the area of the triangle is ...

  A = (1/2)bh

  A = (1/2)(12.5)(6) = 37.5 . . . square units

__

2. Triangle LKM is similar to triangle KJM. The scale factor is ...

  KM/JM = 6/8 = 3/4

Then the area of triangle LKM is (3/4)² = 9/16 of the area of triangle KJM.

The total area is ...

  Area of LJK = (area of KJM)×(1 + 9/16)

  = (1/2)(8)(6)(25/16) = 75/2 = 37.5 . . . square units

The value of the algebraic expression 11.5x + 10.9y  at x = 6 and y = 7 is 145.3

What is an algebraic expression?

Algebraic expression consists of variables and numbers connected with addition, subtraction, multiplication and division

The given algebraic expression is 11.5x + 10.9y

We have to find the value of the algebraic expression at x = 6 and y = 7

Putting x = 6 and y = 7 in the algebraic expression,

\(11.5 \times 6 + 10.9 \times 7\)

69 + 76.3

145.3

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Based on the results of the hypothesis test, we reject the claim that the coin is fair and accept the alternative hypothesis that the coin is not fair.

To test the claim that the coin is fair against the two-sided claim that it is not fair, we can use a hypothesis test. The null hypothesis (H0) assumes that the coin is fair, and the alternative hypothesis (H1) assumes that the coin is not fair.

Null hypothesis (H0): The coin is fair.

Alternative hypothesis (H1): The coin is not fair.

Given that the experimenter flipped the coin 100 times and obtained 34 heads, we can calculate the observed proportion of heads (p) in the sample:

p = 34/100 = 0.34

To conduct the hypothesis test at a significance level of α = 0.01, we will use the chi-square test statistic. The test statistic is calculated as follows:

χ² = (observed - expected)² / expected

For a fair coin, the expected probability of getting a head is 0.5, and the expected number of heads in 100 flips would be:

expected = 0.5 * 100 = 50

Now, let's calculate the chi-square test statistic:

χ² = (34 - 50)² / 50 + (66 - 50)² / 50

= (-16)² / 50 + (16)² / 50

= 256 / 50 + 256 / 50

= 5.12 + 5.12

= 10.24

The degrees of freedom (df) for this test are df = 1 (since we have two possible outcomes: heads or tails) and the critical value for a two-sided test at α = 0.01 with df = 1 is approximately 6.63.

Since the test statistic (10.24) is greater than the critical value (6.63), we reject the null hypothesis (H0) at the α = 0.01 level. We have sufficient evidence to conclude that the coin is not fair.

Therefore, based on the results of the hypothesis test, we reject the claim that the coin is fair and accept the alternative hypothesis that the coin is not fair.

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The required sample size is 907.

We have,

To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p  (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)

Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92

Since we need to round up to the next integer, the required sample size is 907.

Thus,

The required sample size is 907.

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Answer:

15

Step-by-step explanation:

x+(x+1)+(x+2)= 48

=)3x+3=48

=)3x=45

X=15

The smallest of the integers would be 15.

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of 3 consecutive integers is 48.

We need to find the smallest of the integers.

Let assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 48

Combine the like terms;

3x+3=48

3x=45

X=15

Hence, the smallest of the integers would be 15.

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To compare the mean of the sample to the mean of the population, you would calculate the z-score.

The z-score is a statistical measure that allows us to compare a particular value (in this case, the sample mean) to the population mean, taking into account the standard deviation of the population. In order to calculate the z-score, you subtract the population mean from the sample mean and divide it by the standard deviation of the population divided by the square root of the sample size.

In this scenario, the sample mean weight is 8.1 pounds, while the population mean weight is known to be 7.5 pounds with a standard deviation of 1.1 pounds. To calculate the z-score, you would use the formula: (sample mean - population mean) / (population standard deviation / √sample size).

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Answer:

|X-Y|<=10

Step-by-step explanation:

X-Y<=10

And

X-Y>= -10

but then it cannot be solved unless one of the variables is known.

Answer:

It's quite easy

Step-by-step explanation:

people less than 30 years = frequency of people 0 to 15 + 15 to 30 = 8+15 =23

Therefore there are 23 people less than 30 years old.

pls mark me as brainliest pls.

Answer:

The answer to your problem is, subtraction property of equality

Step-by-step explanation:

Given information, If x + 5 = 15

By subtraction property of equality:

Subtract 5 from both sides we have;

then; x = 10

Thus the answer to your problem is, subtraction property of equality

Answer:

C

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = \(\frac{opposite}{adjacent}\) = \(\frac{x}{3}\) , then

θ = arctan \(\frac{x}{3}\) → C

The required inverse function would be θ = arctan x/3. The correct answer would be an option (C).

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

The right triangle is given in the question, as shown.

Using the tangent ratio, we have:

tan θ = perpendicular/base

Here, perpendicular = x and base = 3

As per the figure, substitute the values in the above ratio:

tan θ = x/3

Using an inverse function to write θ as a function of x:

θ = tan⁻¹ x/3

This can be also written as:

θ = arctan x/3

Therefore, the required inverse function would be θ = arctan x/3.

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The range for this set of data is 4.

The distance between the largest and smallest values in a collection of data is known as the range in statistics. It can be used as a measure of variability and provides a notion of how dispersed the data is. By deducting the least value from the maximum value, the range is calculated:

Range: (Maximum Value - Minimum Value)

From the given plot we see that the highest value is 5 and the lowest value is 1.

The range is thus given as:

Range = highest value - lowest value

Range = 5 - 1

Range = 4

Hence, the range for this set of data is 4.

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