Find the value for
20:5=30:X

Answer:

The probability that sample mean is less than 2  is 0.1423.

Step-by-step explanation:

Let X denote the number of accidents per week at a hazardous intersection.

It is provided that the mean and standard deviation of X are, μ = 2.2 and σ = 1.4.

(a)

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample size is not large enough, i.e. n = 9 < 30, the Central Limit Theorem cannot be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.

And since the distribution of X is not specified, the probability cannot be computed.

(b)

In this case, the sample size is large enough, i.e. n = 52 > 30, the Central Limit Theorem can be applied to approximate the sampling distribution of the mean number of accidents per week at the intersection.

Compute the probability that sample mean is less than 2 as follows:

[tex]P(\bar X<2)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{2-2.2}{1.4/\sqrt{56}})\\\\=P(Z<-1.07)\\\\=0.14231\\\\\approx 0.1423[/tex]

Thus, the probability that sample mean is less than 2  is 0.1423.

Answer:5h

Step-by-step explanation: i just did the quiz

Answer:

there is no question??

Answer:

what grade are you in?

Step-by-step explanation:

Answer:

the change is b 8. 63-55=8 35+20=55

Answer:

2+2 is 4-1=3 quick maths

Step-by-step explanation:

Answer:

2+(2) is the same to adding 2+2 because the "(" " )" just mean the you have to add the 2 + 2 just like----- 2+2

Answer:

The National Woman Suffrage Association advocated for a range of reforms to make women equal members of society, such as the right to own property, etc. The American Woman Suffrage Association lobbied state governments to enact laws granting or expanding women's right to vote in the United States.

Answer:

C: The NWSA wanted to address the voting rights of both women and formerly enslaved people.

Step-by-step explanation:

The NWSA wanted to address and justify the rights of both former slaves and women, while the AWSA only wanted to either help women or former slaves, not simultaneously.

Answer:

A. 62%

Step-by-step explanation:

64.50x = 40

x = 0.62015 or 62%

This means 62% of original price is $40, discount is 38%. From your options seem to be asking for percent of original price paid and not discount.

Answer:

The value of x:

Step-by-step explanation:

Given the equation

[tex]R=4x+6y[/tex]

substituting the values y=4 and R=11

[tex]R=4x+6y[/tex]

[tex]11=4x+6\left(4\right)[/tex]

[tex]11=4x+24[/tex]

[tex]11-24=4x[/tex]

switching the sides

[tex]4x=11-24[/tex]

Subtract the numbers: 11-24=-13

[tex]4x=-13[/tex]

Divide both sides by 4

[tex]\frac{4x}{4}=\frac{-13}{4}[/tex]

[tex]x=-\frac{13}{4}[/tex]

Therefore, the value of x:

Answer:

$1

Step-by-step explanation:

i hope i read it right

Answer:

1

Step-by-step explanation:

cuz half of 2 is 1

Answer:

138 and 210?

Step-by-step explanation:

Answer:

7.840

Step-by-step explanation:

560 grams times the number of days

560×14=7840grams

1000grams = 1 kilogram soo

7840g=7.840kg

Answer:

a=-30

Step-by-step explanation:

You mean f(x) = 3x+2 and what is f(5)?

f(5) = 3(5)+2

f(5) = 15+2

f(5) = 17

So f(5) = 17

Answer:

the 3rd one

Step-by-step explanation:

Answer:

It is the second one

Step-by-step explanation:

Answer:

88m

Step-by-step explanation:

area = 6.16msq

πrsq=6.16

22/7*rsq=6.16/100

22/7*rsq=616

rsq=616*7/22

rsq=4321/22

rsq=196

r=√196

r=14m

diameter=14*2=28m

radius=14m

circumfrence=2πr

=2*22/7*14

=44*2

=88m

Answer:

(8,1)

Step-by-step explanation:

(8,1) you have to add do to the same to B

Pont B is located at coordinates at the line AB (8, 1)

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given, The midpoint of AB is M(6,-3). If the coordinates of A are (4, - 7)

From the general formula of midpoints of a line

coordinates of midpoint = ((x₂ + x₁)/2, (y₂ + y₁)/2)

where,

(x₁, y₁) are the coordinates of A

(x₂, y₂) are the coordinates of B

And in our case Coordinates of the midpoint are (6, -3)

Thus,

6 = (4 + x₂)/2

x₂ = 8

-3 = (-7 + y₂)/2

y₂ = 1

therefore, the coordinates of Pont B at line AB are (8, 1)

Learn more about coordinates here:

https://brainly.com/question/20282507

#SPJ2

Answer:

well assuming this is a normal function, the next point would be (1,5)

Answer:

[tex]\frac{5}{3} \times\frac{9}{19}[/tex]

Step-by-step explanation:

In order to simplify this equation you need to convert these whole number fractions into improper fractions and then use KCF. (Keep, Change, Flip)

[tex]1\frac{2}{3} \div2\frac{1}{9}[/tex]

Convert into improper fractions:

[tex]1\frac{2}{3} = 3\times1+2=\frac{5}{3}[/tex]

[tex]2\frac{1}{9} =9\times2+1=\frac{19}{9}[/tex]

(Remember to keep the denominators the same)

[tex]\frac{5}{3} \div\frac{19}{9}[/tex]

Now use KCF

[tex]\frac{5}{3} \div\frac{19}{9} = \frac{5}{3} \times\frac{9}{19}[/tex]

[tex]= \frac{5}{3} \times\frac{9}{19}[/tex]

Hope this helps.

Answer:

x^2+2x-8

Step-by-step explanation:

x^2+2x-8 = (x+4)(x-2)

Answer: A. x^2 -2x -8

Step-by-step explanation:

Answer:

31.4 cm

Step-by-step explanation:

it says [tex]c =\pi d[/tex]

d stands for the diameter and to find d, just add the radius by itself.

So to find d, you would add 5 + 5 which would be 10 and multiply 3.14 which stands for pi. And the answer you would get is 31.4

Hope this helps and pls mark me brainliest if you can:)

Answer:

Explained below.

Step-by-step explanation:

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

a

The expected value of the sample mean of their weights is same as the population mean, μ = 1515 lbs.

b

The standard deviation of the sampling distribution of the sample mean weight is:

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}=\frac{25}{\sqrt{16}}=6.25[/tex]

c.

The average weights for a sample of 16 people will result in the total weight exceeding the weight limit of 2500 lbs. is:

[tex]\text{Average Weight}=\frac{2500}{16}=156.25[/tex]

d

Compute the probability that a random sample of 16 persons on the elevator will exceed the weight limit as follows:

[tex]P(\bar X > 156.25)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{156.25-151}{6.25})\\\\=P(Z>0.84)\\\\=1-P(Z<0.84)\\\\=1-0.79955\\\\=0.20045\\\\\approx 0.20[/tex]

Answer:

4

Step-by-step explanation:

You see the hunderth digit has a 8, so you round up. 0.9+0.1=1 so you add 1 to 3, so 3.987 rounded is 4

Answer:

The error was made in the division step it should have been divided by negative 2

-2(x-6)=8

-2x+12=8

-2x=-4

-x=-2

X=2

Answer:

A

Step-by-step explanation:

PLEASE MARK BRAINLIEST IT WILL HELP SM

Answer:

its hard to see but I think all of them except the first and the last ones r

Step-by-step explanation:

an x can't repeat

Complete Question:

Last year Mr. Petersen’s rectangular garden had a width of 5 meters and an area of 20 square meters.  This year he wants to make the garden three times as long and two times as wide.  

Last year, Mr. Petersen had a fence all the way around his garden. He can reuse all of the fence he had around the garden last year, but he needs to buy more fencing to go around this year’s garden.  

How many more meters of fencing is needed for this year’s garden than last year’s?

Answer:

26 meters of fencing needed

Step-by-step explanation:

Given

Last Year:

[tex]Width = 5m[/tex]

[tex]Area = 20m^2[/tex]

This Year:

[tex]Length = 3\ times\ longer[/tex]

[tex]Width = 2\ times\ wider[/tex]

Required

Determine how many more meters is needed

Represent last year's length of Fence with L and last year's width with W

First, we need to calculate L

[tex]Area = L * W[/tex]

Where

[tex]Area = 20m^2[/tex]

[tex]W = 5m[/tex]

[tex]20m^2 = L * 5m[/tex]

Divide both sides by 5m

[tex]\frac{20m^2}{5m} = \frac{L * 5m}{5m}[/tex]

[tex]\frac{20m^2}{5m} = L[/tex]

[tex]L = \frac{20m^2}{5m}[/tex]

[tex]L = 4m[/tex]

So, we have that:

For Last Year

[tex]Length = 4m[/tex] and [tex]Width = 5m[/tex]

For this year:

[tex]Length = 3\ times\ longer[/tex]

[tex]Length = 3 * 4m[/tex]

[tex]Length = 12m[/tex]

[tex]Width = 2\ times\ wider[/tex]

[tex]Width = 2 * 5m[/tex]

[tex]Width = 10m[/tex]

So, for this year, we have:

[tex]Length = 12m[/tex] and [tex]Width = 10m[/tex]

Next, we calculate perimeter of fencing in both years.

[tex]Perimeter = 2 * (Length + Width)[/tex]

Last Year:

[tex]Perimeter = 2 * (4m + 5m)[/tex]

[tex]Perimeter = 2 * 9m[/tex]

[tex]Perimeter = 18m[/tex]

This Year:

[tex]Perimeter = 2 * (12m + 10m)[/tex]

[tex]Perimeter = 2 * 22m[/tex]

[tex]Perimeter = 44m[/tex]

To get the meters of fencing needed this year, we simply calculate the difference in the calculated perimeters.

[tex]Difference = 44m - 18m[/tex]

[tex]Difference = 26m[/tex]

Hence, there are 26 meters of fencing needed

Answer:

Shorter piece: 23 inches

Longer piece: 92 inches.

Step-by-step explanation:

Since the longer piece is four times the length of the other, we multiply 23*4 and we get 92 inches.