What is the area of the figure?
15in.
30in
-50in.
The area of the figure is

Answer:

true

Step-by-step explanation:

this is the decimal helps shorten up 29.600

Answer:

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction of normal variables:

When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

North Catalina:

Population has mean 130 and standard deviation 8 points. Sample of 3. This means that:

[tex]\mu_{N} = 130, s_{N} = \frac{8}{\sqrt{3}} = 4.6188[/tex]

Chapel Mountain:

Population has mean 120 and standard deviation 10 points. Sample of 3. This means that:

[tex]\mu_{C} = 120, s_{C} = \frac{10}{\sqrt{3}} = 5.7735[/tex]

What is the probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students?

We want that: [tex]N - C > 5[/tex]

Distribution N - C:

The mean is:

[tex]\mu = \mu_N - \mu_C = 130 - 120 = 10[/tex]

The standard deviation is:

[tex]s = \sqrt{s_N^2+s_C^2} = \sqrt{4.6188^2+5.7735^2} = 7.3937[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{5 - 10}{7.3937}[/tex]

[tex]Z = -0.68[/tex]

[tex]Z = -0.68[/tex] has a pvalue of 0.2483

1 - 0.2483 = 0.7517

0.7517 = 75.17% probability that the mean IQ of the 3 North Catalina students is at least 5 points higher than the mean IQ of the 3 Chapel Mountain students

Answer:

3 packages

Step-by-step explanation:

first we need to make this into a equation that we can solve!

x = 21/7

if we use our times tables then we know that

7 * 3

= 21

so knowing what we know, lets go back to the question/ equation!

21/7

= 3

( if you wanted, that could also be a way to double check you answer :)

hope this helped you and if you have any more questions then please ask me! :)

Answer:

Robbert is 7

Step-by-step explanation:

because you already said it

Answer:

sorry sorry sorry

Step-by-step explanation:

I don't know

Answer:708

Step-by-step explanation:

Answer:

11.383

Step-by-step explanation:

the third place is the thousandths.

By rounding 11.3826 to the nearest thousand, we get 11.383.

The number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Example: 0.2358 rounded to the nearest thousand is 0.236.

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

Example: 0.7231 rounded to the nearest thousand is 0.723.

Given number is 11.3826.

Rounding to nearest thousand, we get:

11.3826 ⇒ 11.383.

Learn more about rounding a number to nearest thousand here: https://brainly.com/question/24234983

#SPJ2

Answer:

0.41

Step-by-step explanation:

All probability equals 1. So if the probability that something will happen is x, then the probability that it will not happen is 1-x

Answer:

f(6) =34

Step-by-step explanation:

f(x) = 5x + 4

Let x= 6

f(6) = 5*6 +4

     = 30 +4

     = 34

I think the area is 63. Sorry if it is incorrect.

Answer:

12.4

Step-by-step explanation:

[tex]AL= 2r\pi (\frac{angle}{360} )[/tex]

[tex]AL= 2(7.9)(\pi )(\frac{90}{360})\\[/tex]

Answer:

uhm im really sorry about this but i really need points i would help but id get it wrong im bad aat math

Step-by-step explanation:

Using the slope concept, it is found that the swimmer is 21.95 feet from the boat.

In this problem:

Hence:

[tex]\tan{64^{\circ}} = \frac{45}{d}[/tex]

[tex]d = \frac{45}{\tan{64^{\circ}}}[/tex]

[tex]d = 21.95[/tex]

The swimmer is 21.95 feet from the boat.

You can learn more about the slope concept at https://brainly.com/question/26342863

Answer:

uhururfjfhfufjfjfjfjfjfif

Answer:

I believe the first one is 250

the second one I haven't got a clue

Answer:

Step-by-step explanation:

Volume of water is the difference of volume of vase at 12 in height and the total volume of marbles.

Volume of cylinder up to water level:

Volume of marbles:

Volume of water:

Correct choice is C

Answer:

C. π(3in)2(12in) − 9(four over threeπ(1.5in)3)

Step-by-step explanation:

Vs = πr²h = π(6/2)²(12) = π×(3 in)²×(12 in)

Vm = 9(4/3πr³) = 9×(4/3×π(3/2)³) = 9×(4/3×π×(1.5 in)³)

Vw = Vs - Vm = π×(3 in)²×(12 in) - 9×(4/3×π×(1.5 in)³)

Correct choice is C

breadth= X

L= x+30

after you cut a square with 6in from the corners, the length becomes x+30-6 =x+24 and breadth becomes x-6.

The eqn for volume of box is Length x Breadth x height

it's given that LxBxH = 1050

here height is 6, because u are folding the edge where it's been cut off and that side becomes the height.

rewrite with the given information we get

(x+24)*(x-6)*6 = 1050

divide both sides with 6

(x+25)*(x-6) = 175

distribute the brackets we get,

x^2 -18x -144 =175

x^2 -18x-319 = 0

solve for x using quadratic formula.

we get x= 29, -11

since length cannot be negative x= 29

B= 29, L=59.

Answer: 66.67

Step-by-step explanation:

Answer:

I think its 72,000

Step-by-step explanation:

there's 144 months in 12 years and i just multiplied it by 500

Answer:

5cm, 9cm, 10cm

Step-by-step explanation:

Answer:

32.43

Step-by-step explanation:

To get the standard divisor

We sum up the tickets sold

Applejack's = 66 tickets

Broncos = 769 tickets

Colts = 652 tickets

Deers = 556 tickets

The total prize amount = $63

Total tickets = 66 + 769 + 652 + 556 = 2043

Standard divisor = 2043/63

= 32.43

The standard divisor to two decimal places is 32.43

Answer:

7

Step-by-step explanation:

Factors for 28: 1, 2, 4, 7, 14, and 28

Factors for 35: 1, 5, 7, and 35

Answer:

132 inches

Step-by-step explanation:

33 x 4 = 132 inches

Answer:

96

Step-by-step explanation:

Answer:

96 cm

Step-by-step explanation:

Length + Width + Length + Width = Perimeter

Length + 74 cm + Length + 74 cm = 340 cm

74 + 74 = 148

340 - 148 = 192

192 ÷ 2

96

Check:

74cm + 96cm + 74cm + 96cm = 340 cm

Answer:

B.6x+4=7

Step-by-step explanation:

x represents how many miles is around her school building which she did 6 times, 4 miles is for the amount she ran home and 7 miles is the combination of the 6 times the miles around her school, 6x and the miles she ran home 4

making the equation 6x+4=7

Answer:

Round to the nearest tenth. 35 12. х x = [?] Enter​

Step-by-step explanation: