Hoshi walks 10 meters in 3 seconds. She walks the same at this rate for 50 seconds. How far does she walk?

Answer:

25

Step-by-step explanation:

Answer:

a) Approximately normal.

b) The mean is 75 years and the standard deviation is 0.8485 years.

c) 0.9909 = 99.09% probability that the mean age exceeds 73 years

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.

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.

Sample of 50 retirees

This means that [tex]n = 50[/tex]

Mean age and standard deviation are 75 and 6 years

This means that [tex]\mu = 75, \sigma = 6[/tex]

a. Describe the shape of the sampling distribution of the sample mean in this case

By the Central Limit Theorem, approximately normal.

b. Find the mean and standard error of the sampling distribution of the sample mean.

By the Central Limit Theorem, the mean is 75 and the standard error is [tex]s = \frac{6}{\sqrt{50}} = 0.8485[/tex]

c. What is the probability that the mean age exceeds 73 years?

This is 1 subtracted by the pvalue of Z when X = 73.

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

By the Central Limit Theorem

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

[tex]Z = \frac{73 - 75}{0.8485}[/tex]

[tex]Z = -2.36[/tex]

[tex]Z = -2.36[/tex] has a pvalue of 0.0091

1 - 0.0091 = 0.9909

0.9909 = 99.09% probability that the mean age exceeds 73 years

Answer:

66.67%

Step-by-step explanation:

75 /100 = .75

.75n = 45

45/.75 = 60

60 is n

60/90 = .666667

.666667 * 100 = 66.67%

Answer: for this problem, I will be using proportions.

Step-by-step explanation:

Find n

45 x 100 = 4,5000

4,5000 / 75 = 60

n = 60

60 x 100 = 6,000

6,000 / 90 = 66.66%

So, n is equal to 60 and n is 66.66% of 90.

Answer:$2.36

Step-by-step explanation:

2.95 x .8 = 2.36

Answer:

Step-by-step explanation:

Put the equation into vertex form.

y = 2x² + 10x + 8

= 2(x² + 5x) + 8

= 2(x² + 5x + 2.5²) - 2·2.5² + 8

= 2(x+2.5)² - 4.5

vertex (-2.5, -4.5)

Answer:

[tex] {120m}^{3} [/tex]

Remember to find the volume it is the

length x height x breadth

Answer:

The correct conclusion is;

d) Additional information is needed to draw a proper conclussion

Step-by-step explanation:

The given parameters are;

When listening to music;

Physiological measure Critical t > Test statistic Accept H₀

Anxiety measure Critical t < Test statistic Reject H₀

When composing music;

Physiological measure Critical t > Test statistic Accept H₀

Anxiety measure Critical t > Test statistic Accept H₀

When the test statistic is larger the critical 't'

Therefore, the test suggest that there is no difference between physiological and anxiety influence of composing music on pediatric asthma patients

There is sufficient statistical evidence to suggest that listening to music has an influence on the anxiety of pediatric asthma patients however, the nature of the influence is not specified and more information is needed to draw a proper conclusion

Answer:

26 candles

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Because i said it is

Answer:

The answer for A is (3,5) so plot that into the graph. Those are the coordinates for F

The answer for B is "F  and C are 5 units away from the x-axis

The answer for C is "The distance between F and C is 10 units"

Step-by-step explanation:

Answer:

[tex]p =\frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]Polygons =\{Quadrilateral, Pentagon, Hexagon, Octagon, Nonagon, Decagon\}[/tex]

Required

Probability of assigning a nonagon

From the given set of polygons, there are 6 polygons in the set and 1 one of them is a nonagon

This means that:

[tex]n = 6[/tex] --- Total

[tex]Nonagons = 1[/tex]

So, the probability, p is:

[tex]p =\frac{Nonagons}{n}[/tex]

[tex]p =\frac{1}{6}[/tex]

Answer: -32-126i

Step-by-step explanation:

The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Given expression is (3x² - 2) (4x² + 5x).

This can be written as,

(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)

We have to use distributive property here.

a(b + c) = ab + ac for any three numbers or expressions, a, b and c.

(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)

                              = (12x⁴ + 15x³) - (8x² + 10x)

                              = 12x⁴ + 15x³ - 8x² - 10x

Hence the product is 12x⁴ + 15x³ - 8x² - 10x.

To learn more about Multiplication of Expressions, click :

https://brainly.com/question/29052794

#SPJ7

Answer:

x=−16

Step-by-step explanation:

−4x−18=46

Add 18 to both sides

−4x−18+18=46+18

−4x=64

Divide both sides by -4

-4x/4=64/-4

x=−16

Answer:

x=    -16

Step-by-step explanation:

Let's solve your equation step-by-step.

−4x − 18 = 46

Step 1: Add 18 to both sides.

−4x − 18 + 18 = 46 + 18

−4x = 64

Step 2: Divide both sides by -4.

−4x / −4  =  64  / -4

x=−16

Hope it helps T-T

Answer:

your answer will be B. 46

Step-by-step explanation:

hope it helps you...

have a great day!!!

Answer:

140

Step-by-step explanation:

First we would find the unit rate of students per seventh. So we would do 40 divided by 2 which gives us 20. So per 1/7 we have 20 students. Which we can then say 7 x 20 = 140. So in total there are 140 students

Hope this helped

Answer:

the answer to this is 25

Answer: 25

To find mean you first need to add up all the ages, which gives you 125. Then you divide that number by how many people. In this case it's 5, so divide 125 by 5 which gives you 25. And that's your answer.

Hope this helped you!

Answer:

Angle 3 and Angle 5 are the alternate interior angles.

Answer:

Rasheed has sent 66 massages , Hassan has sent 22 , Shima has sent 29

Answer: A

Step-by-step explanation:

Answer:

93.5

Step-by-step explanation:

Answer:

8^(3n+1) = 80/5

8^(3n+1) = 16

(2^3)^(3n+1) = 2^4

2^(3*(3n+1) = 2^4

Having same power so;

9n+3 = 4

9n = 4-3

9n = 1

n = 1/9

Answer: 4.05

Step-by-step explanation: the two median numbers are 4.2 and 3.9 divided by 2 and that gave me 4.05

Answer:

200

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

Answer:

im going to guess the last answer. theone that i can't see

Step-by-step explanation:

Answer:

a) 2x² - x + 3 = x(2x + 1) - 2x

<=> 2x² - x + 3 = 2x² + x - 2x

<=> 3 - x = - x

<=> 3 = 0

=> no solution

b) x/2 - x/3 - x/4 = 1/12

[tex] \frac{6x}{12} - \frac{4x}{12} - \frac{3x}{12} = \frac{1}{12} \\ \\ \frac{ - x}{12} = \frac{1}{12} \\ \\ = > - x = 1 \\ \\ \\ < = > x = 1[/tex]

=> the euqation has the solution x = 1

c) |x - 5| = 2|x|

=> x - 5 = 2x

or x - 5 = -2x

<=> x = -5

or 3x = 5

<=> x = -5

x = -5or x = 5/3

d) defined conditions: 2 - x 》 0

<=> x 《 2

we have:

[tex] \sqrt{x + 4} = 2 - x \\ < = > x + 4 = (2 - x) {}^{2} \\ < = > x + 4 = {x}^{2} - 4x + 4 \\ < = > {x}^{2} - 5x = 0 \\ < = > x(x - 5) = 0 \\ [/tex]

<=> x = 0 (because x 《 2)

e)

[tex] \sqrt{5} = \frac{1}{25 {}^{x} } \\ = > 5 = \frac{1}{25 {}^{2x} } \\ < = > 5.25 {}^{2x} = 1 \\ < = > 5.5 {}^{4x} = 1 \\ < = > 5 {}^{4x + 1} = 1 \\ = > 4x + 1 = 0[/tex]

<=> x = -1/4

Answer:

[tex]a) [x: - \infty < x < \infty ][/tex]

[tex]b)[x: - 1][/tex]

[tex]c) [x:- \frac{5}{3} ][/tex]

[tex]d) [x: 3, 0][/tex]

[tex]e) [x: - \frac{1}{4} ][/tex]

Answer:

69.72 inches.

Step-by-step explanation:

The best point estimate for the average height if males in the United States is...

For large samples, as we have here, the best point estimate is the sample mean. In this question, the sample mean is of 69.72 inches, so the answer is 69.72 inches.

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

∠B₁DB = 60°

△B₁BD is a 30°-60°-90° triangle. The sides are in the ratio 1:√3:2

B₁D = 37 ⇒ BD = 37/2 = 18.5

BB₁ = 18.5√3

△ABD is isosceles

AB = AD = BD/√2 = 18.5/√2

volume = AB × AD × BB₁

= (18.5/√2) × (18.5/√2) × 18.5√3

= 18.5³√3/2

≅ 5483 cubic units

Answer:

I think the answer is A as well

Step-by-step explanation:

Answer:

a a a a a a a a  a a a a  a

Step-by-step explanation: