The formula is V=BH Base= 1/2BH Solve ---

Using normal approximation, the probability that exactly 29 out of 108 eligible voters voted is approximately 0.2346, or 23.46%.

To find the probability that exactly 29 out of 108 eligible voters voted, we can use a normal approximation.

First, we need to calculate the mean (μ) and standard deviation (σ) for the binomial distribution, which can be approximated using the formula:

μ = n * p

σ = √(n * p * (1 - p))

where n is the number of trials (108 in this case) and p is the probability of success (22% or 0.22).

μ = 108 * 0.22 = 23.76

σ = √(108 * 0.22 * (1 - 0.22)) = 4.3

Next, we use the normal distribution to approximate the probability of exactly 29 voters. We will use the continuity correction by considering the interval between 28.5 and 29.5.

P(28.5 < X < 29.5) ≈ P(28.5 - 0.5 < X < 29.5 + 0.5) ≈ P(28 < X < 30)

To find this probability, we calculate the z-scores for 28 and 30 using the mean and standard deviation:

z₁ = (28 - μ) / σ

z₂ = (30 - μ) / σ

Then, we use a standard normal distribution table or calculator to find the probability associated with each z-score:

P(28 < X < 30) ≈ P(z₁ < Z < z₂)

Let's calculate the z-scores and find the corresponding probabilities:

z₁ = (28 - 23.76) / 4.61 ≈ 0.92

z₂ = (30 - 23.76) / 4.61 ≈ 1.35

Using the standard normal distribution table or calculator, we find the probabilities associated with these z-scores:

P(0.92 < Z < 1.35) ≈ 0.4082 - 0.1736 = 0.2346

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Answer:

11 11/12 lb

Step-by-step explanation:

"3 2/3 times more than the small bag" comes out to:

(3 2/3)*(3 1/4) lb.

Convert both mixed numbers to improper fractions:

11     13       143

--- * ---- = ----------- = 11.917

3      4         12

The large bag weighs 11.917 lb, which may be converted to the mixed number 11 11/12 lb

The eigenvalues of the given matrix A are 1, 2, and -2.

To find the eigenvalues of the matrix A:

A = [1 0 0]

[0 -4]

[0 4]

To find the eigenvalues, we need to solve the characteristic equation |A - λI| = 0, where λ is the eigenvalue and I is the identity matrix.

The matrix A - λI is:

A - λI = [1 - λ 0]

[0 -4]

[0 4 - λ]

Taking the determinant of A - λI:

|A - λI| = (1 - λ)(-4 - λ(4 - λ))

Expanding the determinant and setting it equal to zero:

(1 - λ)(-4 - λ(4 - λ)) = 0

Simplifying the equation:

(1 - λ)(-4 - 4λ + λ²) = 0

Now, we can solve for λ by setting each factor equal to zero:

1 - λ = 0 or -4 - 4λ + λ² = 0

Solving the first equation, we get:

λ = 1

Solving the second equation, we can factorize it:

(λ - 2)(λ + 2) = 0

From this equation, we get two additional eigenvalues:

λ = 2 or λ = -2

Therefore, the eigenvalues are 1, 2, and -2.

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Answer:

C. The mean number of lessons for group A is greater than the mean for group B by 2 MADs.

Step-by-step explanation:

Mean of Group A is greater than the mean of group B. The mean absolute deviation for the group A and B is 3. The different between the mean is 6 (15 - 9)

Number of mean absolute deviations is :

Difference between mean of two groups / MAD

6 / 3 = 2.

Answer:Using the slope-intercept form, the y-intercept is 1

Answer:

10cm

Step-by-step explanation:

pretty sure the diameter is measured by multiplying the radius twice :)

Answer:

Diameter = 10 cm

Circumference = 31.43 cm

Area = 78.57 cm²

Answer:

A v=2.25   H=1

b. 5.625

Step-by-step explanation:

Answer:

V = 3.90625 cm³

Step-by-step explanation:

Given that V varies directly as h³ then the equation relating them is

V = kh³ ← k is the constant of variation

To find k use the condition

V = 6.75 when h = 3 , then

6.75 = k × 3³ = 27k ( divide both sides by 27 )

0.25 = k

V = 0.25h³ ← equation of variation

(b)

When h = 2.5 , then

V = 0.25 × 2.5³ = 3.90625 cm³

Answer:

arc BC = 132°

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc BC = ∠ BOC = 132°

Answer:

hi

Step-by-step explanation:

sorry

Answer:

0

Step-by-step explanation:

The sine function of 0 is 0.

We got 0 because you multiplied -9 by 0 divided by -3. DIviding by 0 really doesn't have an answer, but it'd most logically be 0.

Answer:

your answer should be 48 degrees

Answer:

I think 3

Step-by-step explanation:

I think the anwser for this is 60 in miles

Answer:

23

Step-by-step explanation:

Answer: -1/9 * x.

Step-by-step explanation:

To simplify the expression (5x^2) / (-45x), we can divide the coefficients and subtract the exponents:

(5 / -45) * (x^2 / x)

Simplifying the coefficient:

-1/9 * (x^2 / x)

Now, simplify the variables:

-1/9 * x^(2-1) = -1/9 * x

Therefore, the simplified expression is -1/9 * x.

Answer:

17 ft

Step-by-step explanation:

An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?​

We solve the above question using the Trigonometric function of Sine

sine theta = Opposite/Hypotenuse

theta = Angle of elevation = 70°

Hypotenuse =Length of the ladder = 18ft

Opposite = Height of the wall = x

Therefore

sin 70 = x/ 18 ft

Cross Multiply

x = sin 70 × 18 ft

x = 16.914467174 ft

Approximately = 17 ft

Answer:

r = 7

Step-by-step explanation:

Volume of a cylinder:

V = πr²h

Given:

V = 2000

h = 13

Work:

V = πr²h

r² = V/(πh)

r² = 2000/(3.14 * 13)

r² = 2000/40.82

r² ≈ 49

[tex]\sqrt{r^2} =\sqrt{49}[/tex]

r = 7

Complete Question

Find the circumference of the pizza to the nearest hundredth.

When Diameter = 18 in.

Answer:

56.55 inches

Step-by-step explanation:

A pizza is circular in shape.

The formula for the circumference of a circle is given as:

πD

Where D = Diameter

From the above question,

Diameter = 18 inches

Hence,

Circumference of the circular pizza = π × 18 inches

= 56.548667765 inches

Approximately = 56.55 inches

Answer:

12

Step-by-step explanation:

If you cut them into halves then there will be twice as many pieces.

so you do:

6 x 2

= 12

Answer:

m = 18/4 = 9/2 = 4.5

Step-by-step explanation:

Notice that the line passes through (0, 0) and (4, 18).  Thus, its 'rise' is 18 - 0, or 18, and its 'run' is 4 - 0, or 4, and the slope (which is the desired constant of proportionality) is m = 18/4 = 9/2 = 4.5             This is Answer B

Answer:

Reminder to eat drink and take care. :)

Step-by-step explanation:

Answer:

8,255 reminder to eat today

Answer:

B. Sam should buy the jacket at Coats 'R Us because it is cheaper after the discount

Answer:

I suggest that sum should buy the jacket at coats 'R us because it is still cheaper after the discount even when you've not counted the discount in it is still cheaper than the other one and the other one even when it has such a high discount it is still not cheap so I suggest that the answer is choice B

The mean number of Americans who favor government spending for alternative fuels can be calculated by multiplying the percentage of Americans who favor such spending by the total sample size. In this case, 75% of Americans favor government spending, and the sample size is 140.

Mean = (Percentage of Americans who favor government spending) * (Sample size)

    = 0.75 * 140

    = 105

Therefore, the mean number of Americans who favor government spending for alternative fuels is 105.

The mean represents the average or central tendency of the data. In this context, it indicates the average number of Americans in the sample who support government spending for alternative fuels. It is obtained by multiplying the percentage of Americans who favor such spending by the sample size.

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Answer:

D, F.

Step-by-step explanation:

D and F contain x^2.

The probability that the worker will finish assembling the racing car in more than 60 minutes is approximately 0.1587. The z-score corresponding to 60 minutes is 2. The probability of completing the job in more than 60 minutes is 15.87%.

To find the probability that the worker will finish assembling the racing car in more than 60 minutes, we need to calculate the z-score and then find the corresponding probability from the standard normal distribution.

First, we calculate the z-score using the formula:

z = (x - μ) / σ

where x is the given time (60 minutes), μ is the mean (50 minutes), and σ is the standard deviation (5 minutes).

z = (60 - 50) / 5

z = 2

Next, we look up the probability corresponding to a z-score of 2 in Table A (standard normal distribution table). The value in the table represents the probability of a random variable being less than the given z-score. To find the probability of the worker finishing in more than 60 minutes, we subtract this value from 1.

From Table A, the probability corresponding to a z-score of 2 is approximately 0.9772.

Probability = 1 - 0.9772

Probability ≈ 0.0228

Therefore, the probability that the worker will finish assembling the racing car in more than 60 minutes is approximately 0.0228 or 2.28% (rounded to two decimal places).

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Answer:

I'm guessing it's 4 i think but sorry if it's wrong

Step-by-step explanation:

Answer: $1,800

Step-by-step explanation:

600x3=1,800

Answer:

1800 is the cost.

Step-by-step explanation:

Each hoop costs 600 dollars and their are 3 hoops so multiply 600 times 3 or you can do 6 times 3 and add the zeros at the end which is 1800 dollars and btw you got this!!! don't give up. I believe in you :)

The cost function for each of the given scenarios are as follows:

1) Cost function for chain-saw rental firm = $25 + $5h

2) Cost function for trailer hauling service = $95 + $8m

1.)

Cost function for chain-saw rental firm = $25 + $5h

Where, h is the number of hours the chainsaw is rented

Variables used in this scenario are:

Cost = C ($), Renting time = h (hours),

Charge per hour = c ($)

2.)

Cost function for trailer hauling service = $95 + $8m

Where, m is the number of miles the trailer has traveled.

Variables used in this scenario are:

Cost = C ($),

Distance traveled = m (miles),

Charge per mile = c ($)

Therefore the two cost functions are:

1) Cost function for chain-saw rental firm = $25 + $5h

2) Cost function for trailer hauling service = $95 + $8m

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Answer:

x = 2

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

x² + x² = (2[tex]\sqrt{2}[/tex] )² , that is

2x² = 8 ( divide both sides by 2 )

x² = 4 ( take the square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2