Can someone please help me? Thank you

Answer:

0.0013 = 0.13% probability that the sample mean will be more than 26.

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 zscore 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 pvalue, 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.

The average age of men at the time of their first marriage is 24.8 years. Suppose the standard deviation is 2.8 years.

This means that [tex]\mu = 24.8, \sigma = 2.8[/tex]

Forty-nine married males are selected at random and asked the age at which they were first married.

This means that [tex]n = 49, s = \frac{2.8}{\sqrt{49}} = 0.4[/tex]

Find the probability that the sample mean will be more than 26.

This is 1 subtracted by the pvalue of Z when X = 26. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{26 - 24.8}{0.4}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a pvalue of 0.9987

1 - 0.9987 = 0.0013

0.0013 = 0.13% probability that the sample mean will be more than 26.

Answer:

The point represents a 36 months old Panda whose weight is 82kg

Step-by-step explanation:

Given

See attachment for plane

Required

What does the point shown represent

The point is: (36,82)

Age is plotted on the x-axis and weight on the y-axis:

This means that:

[tex]Age= 36\ months[/tex]

[tex]Weight = 82\ kg[/tex]

So, the point represents a 36 months old Panda whose weight is 82kg

Answer:

yes

Step-by-step explanation:

Answer:

d=15

Step-by-step explanation:

Cross multiply 20 * 12 =240

16 * d = 16d

16d=240

d=15

Given:

In △ABC and △PQR, AB = 5 cm , BC = 6 cm , AC = 8 cm , PQ = 6 cm , QR = 5 cm , PR = 8 cm.

To find:

The correct congruency statement for the given triangles.

Solution:

In △ABC and △PQR,

[tex]AB=QR=5\ cm[/tex]                    (Given)

[tex]BC=PQ=6\ cm[/tex]                    (Given)

[tex]AC=PR=8\ cm[/tex]                    (Given)

All three corresponding sides of both triangles are equal. On comparing both triangle, it is conclude that the corresponding angles of A, B, C are R, Q, P respectively.

[tex]\Detla ABC\cong \Delta RQP[/tex]               (SSS congruency postulate)

Therefore, the correct option is C.

Answer:

8 f(3 -2g)

8 can go both 24 and 16

8 f(3 -2 g)

Answer:

d. 1,600.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months.

This means that [tex]\sigma = 1.5[/tex]

Of the following, which is the smallest sample size that will result in a margin of error of 0.1 month or less for the confidence interval?

The sample size has to be n or larger. n is found when [tex]M = 0.1[/tex]. So

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]0.1 = 2.575\frac{1.5}{\sqrt{n}}[/tex]

[tex]0.1\sqrt{n} = 2.575*1.5[/tex]

Multiplying both sides by 10

[tex]\sqrt{n} = 2.575*15[/tex]

[tex](\sqrt{n})^2 = (2.575*15)^2[/tex]

[tex]n = 1492[/tex]

So the sample size has to be at least 1492, which means that of the possible options, the smallest sample size is 1600, given by option d.

The sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer

Based on previous research, the standard deviation of the distribution of the age at which children begin to walk is estimated to be 1.5 months. A random sample of children will be selected, and the age at which each child begins to walk will be recorded. A 99% confidence interval for the average age at which children begin to walk will be constructed.

The margin of error tells you how many percentages points your results will differ from the real population value.

[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]

We need to find our α level, that is the subtraction from 1 by the confidence interval for the average age divided by 2.

[tex]\alpha = \frac{1-0.99}{2}\\ =0.005[/tex]

Now, we need to find z which is 1-α

[tex]1-\alpha \\=1-0.005\\\rm z=2.575[/tex]

The margin of error M

[tex]M=z\frac{\sigma}{\sqrt{n} }[/tex]

Here, [tex]\sigma[/tex] is the standard deviation of the population.

n is the size of the sample.

So,

[tex]\rm M=z\frac{\sigma}{\sqrt{n} } \\\rm0.1=2.575\frac{1.5}{\sqrt{n} } \\\rm0.1\times\sqrt{n} =2.575\times{1.5}\\\rm\sqrt{n} =2.575\times{1.5}\\\rm(\sqrt{n} )^{2} =(2.575\times{1.5})^{2} \\\rm n=1492[/tex]

Hence, the sample size should be at least 1492, So the possible options, the smallest sample size is 1600, option D is the correct answer.

Learn more about the margin of error here:

https://brainly.com/question/6979326

Answer:

-0.0001701 > -0.0001710

Step-by-step explanation:

-0.0001701 is greater than -0.0001710 since it is closer to 0

Answer:

a) The mean is [tex]\mu = 60[/tex]

b) The standard deviation is [tex]\sigma = 9[/tex]

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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

The probability a student selected at random takes at least 55.50 minutes to complete the examination equals 0.6915.

This means that when X = 55.5, Z has a pvalue of 1 - 0.6915 = 0.3085. This means that when [tex]X = 55.5, Z = -0.5[/tex]

So

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

[tex]-0.5 = \frac{55.5 - \mu}{\sigma}[/tex]

[tex]-0.5\sigma = 55.5 - \mu[/tex]

[tex]\mu = 55.5 + 0.5\sigma[/tex]

The probability a student selected at random takes no more than 71.52 minutes to complete the examination equals 0.8997.

This means that when X = 71.52, Z has a pvalue of 0.8997. This means that when [tex]X = 71.52, Z = 1.28[/tex]

So

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

[tex]1.28 = \frac{71.52 - \mu}{\sigma}[/tex]

[tex]1.28\sigma = 71.52 - \mu[/tex]

[tex]\mu = 71.52 - 1.28\sigma[/tex]

Since we also have that [tex]\mu = 55.5 + 0.5\sigma[/tex]

[tex]55.5 + 0.5\sigma = 71.52 - 1.28\sigma[/tex]

[tex]1.78\sigma = 71.52 - 55.5[/tex]

[tex]\sigma = \frac{(71.52 - 55.5)}{1.78}[/tex]

[tex]\sigma = 9[/tex]

[tex]\mu = 55.5 + 0.5\sigma = 55.5 + 0.5*9 = 55.5 + 4.5 = 60[/tex]

Question

The mean is [tex]\mu = 60[/tex]

The standard deviation is [tex]\sigma = 9[/tex]

Answer:

76.38

Step-by-step explanation:

x = the number of boxes of felt tip pens

5x = the number of boxes of ballpoint pens

5x*4.41 + x*3.41 = 76.38

Answer:

!2 bottles

Step-by-step explanation:

Given

[tex]8\ bottles = 13\ litre \\[/tex]

Required:

Number of bottles for 18.5 liters

Represent this with x.

So:

[tex]8\ bottles = 13\ litre[/tex]

[tex]x = 18.5\ litre[/tex]

Cross Multiply

[tex]x * 13 = 8\ bottles * 18.5[/tex]

[tex]x * 13 = 148\ bottles[/tex]

[tex]x = \frac{148}{13}\ bottles[/tex]

[tex]x = 11.4\ bottles[/tex]

Hence, she needs 12 bottles

Answer:

the answer would be the letter A

Answer: 1. The answer is A. 2. The answer is C again

Step-by-step explanation:

Answer:

Domain: [tex]All \ real\ numbers[/tex]

Range: [tex]y\geq -5[/tex]

Function: [tex]|x|-5=y[/tex]

Step-by-step explanation:

The domain of this function is all real numbers, this is because any real number can be substituted into this function to produce a real output.

The range of this function is ([tex]y\geq -5[/tex]), this is because all outputs are greater than (-5), rather (-5) is the lowest output that one can have.

The function is [tex]|x|-5=y[/tex]. As one can see, the function as the shape of an absolute value function, the v-shape composed of two ([tex]y=x[/tex]) lines facing opposite directions. The graph has been shifted downwards by (5) units, one can see this because of the vertex formed by the two intersecting lines.

Answer:

2√2

Step-by-step explanation:

Answer:

uhhh ok im not 100% sure but i think its

Step-by-step explanation:

Answer:

x²=36

x=√36=±6

therefore x=-6

Answer:

$2.61

Step-by-step explanation:

I think you mean 0.95 dollars per pound. 0.95 cents means it's less than a dime per pound.

Answer: $2.62

Step-by-step explanation:

1) First divide 2.75 and 1 to find the multiplicative so you can multiply this number to 0.95.

2) Multiply 2.75 by 0.95.

3) Round the number(?)

Answer:

Liter.

Step-by-step explanation:

Capacity can be defined as the maximum amount or quantity of liquid that a container can hold at a specific period of time. It is also referred to as the inner volume of a container.

The standard unit of capacity is a liter.

Note:

1 centimeter = 0.001 liters

1000 liters = 1 milliliters

Answer:

B) 15

Step-by-step explanation:

8²+b²=17²

64+b²=289

b²=289-64

b²=225

b=√225

b=15

Answer:

[tex]k=\dfrac{m}{5}[/tex]

Step-by-step explanation:

Let Kat reads k pages of the book.

Miguel reads 5 times as many  pages of the book as Kat. So,

m = 5k ...(1)

Together they read 54 pages. i.e.

m+k = 54 ...(2)

From equation (1),

[tex]k=\dfrac{m}5{}[/tex]

Hence, the equation that can be used to find how many pages Kat read is equal to [tex]\dfrac{m}{5}[/tex].

Answer:

7.85 is your answer I do believe

Answer:

THE ANSWER IS 6.54

Step-by-step explanation:

Step-by-step explanation:

most questions have valid us answers actually so yeah

Answer:

Multiplication tables

Answer:

Circle formula:

Compare with given circle:

We see that:

Diameter is twice the radius:

Answer:

36 meters

Step-by-step explanation:

If the pool has 4 sides, and every side is 9 meters you add 9+9+9+9 to get 36 or just multiply 9 x 4.

Answer:

70%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%

Pls mark brainiest if it helped :P

Answer:

70%

Step-by-step explanation:

To convert from decimal to percent, just multiply the decimal value by 100. In this example we have: 0.7 × 100 = 70%

I learned this from 5th grade i think, but hope this helps alot

The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Linear equation represents a line on the graph.

The system of linear equations represents couple/s of linear equations or lines.

Here, The solution of system of linear equations means the common point satisfying the different linear equations.

Hence, Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.

So, the point of intersection from the given graph is (0,2).

Therefore, the solution of linear equations given in the graph is (0,2).

Learn more about the mathematical expression visit:

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Answer:

x ≥ 7

At least 7 more people need to sign up.

Step-by-step explanation:

We need to have at least 11, so the number of players needs to be greater or equal to 11. So, the equation is:

4 + x ≥ 11

To solve, subtract 4 from both sides.

x ≥ 7

At least 7 more people need to sign up.

The inequality which represents the situation is 4 + x ≥ 11 and the phrase will be at least 7 more people need to sign up.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.

As per the given,

A football team needs to have at least 11 players. Only 4 people have signed up.

Let's say x number of people need to have at least 11.

x + 4 ≥ 11

x ≥ 11 - 4 = 7

Thus, at least 7 people more required.

Hence "The inequality which represents the situation is 4 + x ≥ 11 and the phrase will be at least 7 more people need to sign up".

For more about inequality,

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Answer:

B

Step-by-step explanation:  its 0.79 for EACH mile so ur variable would go with this number, next it says the truck is $40 for you add $40 to it so ur equation should be 0.79m+40

Answer:

a

Step-by-step explanation:

Answer:

angles 1 and 3 are supplementary