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Answer:

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Step-by-step explanation:

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.

Mean of 170cm and standard deviation of 7.5 cm.

This means that [tex]\mu = 170, \sigma = 7.5[/tex]

Find the probability that a randomly selected male has a height > 180 cm.

This is 1 subtracted by the pvalue of Z when X = 180. So

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

[tex]Z = \frac{180 - 170}{7.5}[/tex]

[tex]Z = 1.33[/tex]

[tex]Z = 1.33[/tex] has a pvalue of 0.9082

1 - 0.9082 = 0.0918

0.0918 = 9.18% probability that a randomly selected male has a height > 180 cm.

Answer:

[tex]5x^2+8x-7=0\\a=5\\b=8\\c=-7[/tex]

Step-by-step explanation:

The standard form of a quadratic is [tex]ax^2+bx+c=0[/tex]. You need to subtract the x^2 from the right to set the quadratic equal to 0. Then a,b, and c are equal to the values of the coefficients in front of the terms.

If this helped, a brainliest would be greatly appreciated!

Answer:

a

Step-by-step explanation:

Answer:

60 units^2

Step-by-step explanation:

area of triangle=base*height/2=8*15/2=120/2=60 units^2

Answer:

The answer would be 60 units ^2

Step-by-step explanation:

To find the area of a triangle, the formula is b x h (base times height) divided by 2. So in this case, the base would be 8 and the height would be 15. 8x15 = 120 divided by 2 (since it's a triangle) and the answer would be 60.

Answer:

8

Step-by-step explanation:

base×height÷2=area

2×8÷2=8

Answer:

Since there is so table shown here, I advice you to divide 112 with the number of flowers in each vase. Like for example lets say that the amount of flowers in each vase is 16. You would need to divide 112 and 16. Thats 7. So the "answer" would be 7. Do the same (divide 112) with the amount of flowers you have in your table.

Answer:

either 9 or 27

Step-by-step explanation:

most likely 27 because 3x3x3

Answer:

Cube number of 3 is 27

Step-by-step explanation:

cube of 3 is like 3×3×3 =27

Answer:

Quadrant I

Step-by-step explanation:

We are told that sin is positive (greater than 0) and tan is positive (greater than 0).

We know that sin is positive in quadrants I and II.

We also know that tan is positive in quadrants I and III.

Since both conditions share Quadrant I, the answer is Quadrant I.

Answer:

x = -1 and y = 2

Step-by-step explanation:

3(5x - 6y = -17)

5(-3x - 5y = -7)

-----------------------      Add the two equations together

-43y = -86

y = 2

5x - 6(2) = -17          Substitute y with 2 in the first equation to get the value of x

x = -1

Answer:

x = -1

y = 2

Step-by-step explanation:

5x - 6y = -17

-3x - 5y = -7

I will eliminate variable x first:

Multiply the first equation by 3

15x - 18y = -51

Multiply the second equation by 5

-15x - 25y = -35

Now subtract the second equation from the first equation:

15x - 18y = -51

-15x - 25y = -35

0x - 43y = -86

-43y = -86

Divide both sides by -43

Negative + Negative = Positive

y = 2

Now eliminate variable y:

Multiply the first equation by 5

25x - 30y = -85

Multiply the second equation by -6 (Negative switches all of the signs)

18x + 30y = 42

43x + 0y = -43

43x = -43

Divide both sides by 43

x = -1

Check work:

5(-1) - 6(2) = -17

-5 - 12 = -17

-17 = -17

Correct

-3(-1) - 5(2) = -7

3 - 10 = -7

-7 = -7

Correct

Answer:

between 6 and 7

Step-by-step explanation:

√39 = 6.244... which is between 6 and 7

also, you do not need a calculator if you know that the sq. rt. of 36 is 6 and the sq. rt. of 49 is 7. 39 is between 36 and 49.

Answer:

X = -7

Step-by-step explanation:

-6x + 5 = 47

-6x +5 -5 = 47 - 5

-6x = 42

-6x/-6 = 42/-6

X = -7

Answer:

Hello There!!

Step-by-step explanation:

Write the equation: -6x+5=47

Takeaway 5 from both sides: -6x=42

Divide by -6 from both sides: x=-7

Therefore, x=-7.

hope this helps,have a great day!!

~Pinky~

it would take him 32 minutes. You could use divisoin and multiplecation to figure it out

9514 1404 393

Answer:

Step-by-step explanation:

It works well when making a Venn diagram to start in the middle (6 carried all three), then work out.

For example, if 10 carried early and extra-late, then only 10-6 = 4 of those trucks carried just early and extra-late.

Similarly, if 30 carried early and late, and 4 more carried only early and extra-late, then 38-30-4 = 4 carried only early. In the attached, the "only" numbers for a single type are circled, to differentiate them from the "total" numbers for that type.

__

a) 15 trucks carried only late

b) 24 trucks carried only extra late

c) 4+15+24 = 43 trucks carried only one type

d) 38+67+56 -30-28-10 +6 +6 = 105 trucks in all went out

(a) The mean of C is 1.0 and the standard deviation is 1.0.

(b) The mean of the total number of adult and child tickets purchased is 3.0, and the standard deviation is approximately 1.56.

(c) The mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.

(a) To compute the mean of C, we multiply each value of C by its corresponding probability and sum them up:

Mean (μ) = (0 * 0.4) + (1 * 0.3) + (2 * 0.2) + (3 * 0.1) = 0 + 0.3 + 0.4 + 0.3 = 1.0

To compute the standard deviation, we first need to calculate the variance. The variance (σ²) is found by summing the squares of the differences between each value of C and the mean, weighted by their corresponding probabilities:

Variance (σ²) = [(0 - 1)² * 0.4] + [(1 - 1)² * 0.3] + [(2 - 1)² * 0.2] + [(3 - 1)² * 0.1] = 0.4 + 0 + 0.2 + 0.4 = 1.0

Finally, we take the square root of the variance to obtain the standard deviation (σ):

Standard Deviation (σ) = √(1.0) = 1.0

(b) Since the numbers of child tickets and adult tickets purchased are independent, the mean of the total number of adult and child tickets purchased is the sum of their individual means:

Mean (μ) = Mean of child tickets (μ c) + Mean of adult tickets (μ a) = 1.0 + 2 = 3.0

The variance of the total number of tickets purchased is the sum of the variances of the child and adult tickets:

Variance (σ²) = Variance of child tickets (σ c²) + Variance of adult tickets (σ a²) = 1.0 + (1.2)² = 2.44

The standard deviation of the total number of tickets purchased is the square root of the variance:

Standard Deviation (σ) = √(2.44) ≈ 1.56

(c) To compute the mean and standard deviation of the total amount spent per purchase, we need to multiply the number of child tickets and adult tickets purchased by their respective prices and sum them up.

Mean (μ) = Mean number of child tickets (μ c) * Price of child ticket + Mean number of adult tickets (μ a) * Price of adult ticket

Mean (μ) = 1.0 * $15 + 2 * $25 = $15 + $50 = $65

Variance (σ²) = Variance of child tickets (σ c²) * (Price of child ticket)² + Variance of adult tickets (σ a²) * (Price of adult ticket)²

Variance (σ²) = 1.0 * ($15)² + (1.2)² * ($25)² = $225 + $900 = $1125

Standard Deviation (σ) = √(1125) ≈ $33.54

Therefore, the mean amount spent per purchase is $65, and the standard deviation is approximately $33.54.

To know more about standard deviation:

https://brainly.com/question/13498201

#SPJ6

Answer:

23.14 m²

Step-by-step explanation:

square = 3 x 3 = 9 m²

the 4 semi-circles are equal to 2 complete circles, so:

radius = 3/2 = 1.5

semi-circles = (2)(3.14)(1.5²) = 14.14 m²

9 + 14.14 = 23.14 m²

Answer:37

Step-by-step explanation: it’s

Answer:

4

Step-by-step explanation:

just trust me

Answer:

its 6

Step-by-step explanation:

can i get the brainly?

Answer:

1/3, 3/8 are closer to 0

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

dont know i just remeberd

Answer:

It takes 5/8 minutes or 0.625 minutes to print per page.

Step-by-step explanation:

The find the singular unit value of how long it would take per page you simply divide the amount that you are trying to figure out by the total amount of time you are taking and in this case it would be 5 divided by 8 in order to solve for the amount of minutes it takes per page.

Answer:

(from most to least)

1. Total carbohydrates (34g)

2. Total fat (3.5g)

3. Sodium (1,110 mg, 1.11g)

4. Cholesterol (25mg, 0.025g)

Step-by-step explanation:

Answer:

20 because

Step-by-step explanation:

you have to add all of them then ÷ by 2

Answer:

61.25 cm^3

Step-by-step explanation:

V=whl=3.5·2.5·7=61.25

Step-by-step explanation:

The area of a square is

[tex] {s}^{2} [/tex]

where s is the side length.

It is given that the smaller square side length is s so that means the area of that smaller square is the formula above.

The longer square is twice the side length of the side length of the smaller square.

Since all squares have equal sides, that means all the side are twice than the smaller square sides.

We can represent that larger square area by

(4s) squared

To find how many smaller squares it would take to fill the larger square divide the formula by each other.

(4s)÷s squared =4

Answer:

g = -600

Step-by-step explanation:

The sales tax is determined by computing a percent of the purchase price. To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price.

Step-by-step explanation: Sorry if this doesn't help....

Answer:

0! = 1

1! = 1

0! + 1! = 1 + 1 = 2