Recent test scores on the Law School Admission Test (LSAT) are normally distributed with a mean of 162.4 and a standard deviation of 15.9. What is the probability that the mean of 8 randomly selected scores is less than 161?

Answers

Answer 1

Answer:

0.40166

Step-by-step explanation:

When given random number of samples, we solve using the z score formula:

z = (x-μ)/σ/√n where

x is the raw score= 161

μ is the population mean = 162.4

σ is the population standard deviation = 15.9

n is random number of samples = 8

Hence,

z = 161 - 162.4/15.9/√8

z = -0.24904

Probability value from Z-Table:

P(x<161) = 0.40166

The probability that the mean of 8 randomly selected scores is less than 161 is 0.40166


Related Questions

ahem wrote 2 numbers the first numbwr has a 7 in its tenths place the second number has a 7 with a value of 1000 times grater than the value of the 7 in the 7 in the first number in witch place is the 7 in the second number


hundreds

tens

hundred thousands

thousands ​

Answers

Hmmm I’d say 100,000. I’m pretty sure the right answer would be 10,000’s but if those are your only options then yes 100,000’s

36^(-2x+1)=216 solve for x PLZZZZZZ!!!!!

Answers

(6)^2(-2x+1)=(6)³

evaluating the power of both sides as having same base (6)

2-4x=3

2-3=4x

x=-0.25

The solution of the expression for the value of x is -0.25.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is [tex]36^{(-2x+1)}=216[/tex]

The expression can be written as:-

[tex](6)^{(2)(-2x+1)}=(6)^3[/tex]

Evaluating the power of both sides as having the same base (6)

2-4x = 3

2-3 = 4x

x = -0.25

Hence, the value of x is -0.25.

To know more about an expression follow

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6 − 3.98 what is the answerrrrr

Answers

Answer:

2.02

Step-by-step explanation:

also you can do these on just a calculator :D

13) (-2. – 5v).- (-4v – 2)
Can you help a girl out

Answers

Answer:

If simplifed, it'll be -v

Step-by-step explanation:

can you put your tongue in a not??

Answers

Answer:

No, it is physically impossible to put your tongue in a knot.

Step-by-step explanation:

i need help idk how to solve this plz help. y - 2= 7/3 (x-(-2))

Answers

Im sure it's -3    Because well thats what  i got

Ben needs to buy an equal number of sunglasses and beach balls to place in gift bags. Each pair of sunglasses costs $4 and each beach ball costs $2.50. If he has $45 to spend on the sunglasses and beach balls, then the inequality 4x + 2.5x greater than or equal to 45 can be used to find the number of each item he can buy. How much money will he have left after buying the greatest number of sunglasses and beach balls?

Answers

$0.09 will he have left after buying the greatest number of sunglasses and beach balls.

What is Inequality?

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

Model Inequality:  4x + 2.5x ≥  45.

Now, solving for inequality

4x + 2.5x ≥  45.

(4 + 2.5)x ≥ 45

6.5x ≥ 45

x ≥ 45/ 6.5

x≥ 6.92

x≥ 7 (approx)

So, the max price for sunglasses and beach balls = 4(6.92)+ 2.5(6.92)

                                                                                   = $44.91

Thus, the left money is = 45- 44.91 = $ 0.09

Learn more about inequality here:

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what is 20 percent of 90?​

Answers

Answer:

18

Step-by-step explanation:

18% hope this helpss

negation "If it rains then I take an umbrella."

Answers

this means that if it’s raining take an umbrella and go thru it regardless in life

Determine the angle measure.

Answers

Answer:

the measurement is 30 degrees

I need help can you help me

Answers

Answer:

2 : 3

Step-by-step explanation:

BRAINLIEST PLEASE

the two pictures are the questions and question five is what i need help with.

Answers

Answer:yes they do

Step-by-step explanation:

Im going to be honest i rlly dk

If EG=71 , find the value of x

Answers

Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

Laura needed an electrician to provide electrical repairs in her kitchen. The electrician will charge Laura x ​dollars per hour for a 5-hour job and $20 for electrical parts, and also $50 for a new ceiling fan. Write an algebraic expression in simplest form to determine how much the electrician will charge Laura.

Give the expression and answer please

Answers

Answer:

The answer is 50x + 70

Step-by-step explanation:

I am happy to help. An expression has no equal sign. We don't know how much the electrician will charge Laura. But we do know how much hours the job is. Laura also has to pay for the electrical parts that are 20 dollars and 50 dollars for a new ceiling fan. This is an additional cost. In all, the expression would be 50x + 70, if it is simplified. You would add like terms, such as 20 and 50 to get 70.

Sonia saw a school play that was 2.15 hours long. How many minutes long was the play?



129.00 minutes


120.15 minutes


27.90 minutes


62.15 minutes

Answers

Answer:

Answer 120.15 minutes long

Step-by-step explanation:

Answer:

129.00m

Step-by-step explanation:

1h=60m

2.15=x

2.15h×60m=1h×x

129m×h=1h×x divided both side by 1h

129m=x

Here is an expression: 4 ∙ 3ˢ Evaluate the expression when s is 1.
Help 25 points !!!!!!!!!!!

Answers

Answer:

1 -> 12s

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Determine if the graph shows two quantities that vary directly. If possible, determine the constant of proportionality using the formula K = y/x

Answers

Answer:

Option C is correct option.

Step-by-step explanation:

We need to find k constant of proportionality

In the graph below let us take the values of x and y

x=150 , y=50

x=300, y=100

x=450, y=150

Now finding k using the formula: [tex]k=\frac{y}{x}[/tex]

Putting values of x and y to find k

For x=150 , y=50 k = 50/150, k =1/3

For x=300, y=100 , k=100/300 , k=1/3

For x=450, y=150, k= 150/450 , k=1/3

Since for values of x and y, k = 1/3 is constant so, the graph shows two quantities that vary directly.

So, Option C is correct option.

A line has a slope of 6 and includes the points (n,1) and (8,5). What is the value of n?

Answers

Answer:

The value of n:

[tex]n=\frac{22}{3}[/tex]

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

(n, 1)(8, 5)

Using the formula to find the slope of the points

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]

[tex]m=\frac{4}{8-n}[/tex]

as

m = 6

substituting m = 6

[tex]6=\frac{4}{8-n}[/tex]

[tex]6\left(8-n\right)=4[/tex]

Divide both sides by 6

[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]

[tex]8-n=\frac{2}{3}[/tex]

subtract 8 from both sides

[tex]8-n-8=\frac{2}{3}-8[/tex]

simplify

[tex]-n=-\frac{22}{3}[/tex]

Divide both sides by -1

[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]

[tex]n=\frac{22}{3}[/tex]

Therefore, the value of n:

[tex]n=\frac{22}{3}[/tex]

7. There are 19 red marbles for every black marble. If there are 120 marbles in the bag, how many red marbles are there? Explain or show your reasoning.

Answers

Answer:

114 marbles.

Step-by-step explanation:

Let the number of red marbles be r

Let the number of black marbles be b

Given the following data;

Total number of marbles = 120

Translating the word problem into an algebraic equation, we have;

[tex] r = 19b[/tex] .......equation 1

[tex] r + b = 120[/tex] ........equation 2

Substituting the value of "r" into equation 2, we have;

[tex] 19b + b = 120[/tex]

[tex] 20b = 120[/tex]

[tex] b = \frac {120}{20}[/tex]

b = 6 marbles.

To find the number of red marbles;

From equation 1;

[tex] r = 19b[/tex]

Substituting the value of "b" into equation 1, we have;

[tex] r = 19*6[/tex]

r = 114 marbles.

Therefore, there are 114 red marbles in the bag.

Write 0.09 repeating as a fraction.​

Answers

Answer:

0.09=9\100

Step-by-step explanation:


!!!HELP !!! Plis





The blue dot is at what value on the number line?

Answers

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

if you count from -3, itll be at -6.

Pls help will give brainlist

Answers

6:4 :) dhshsjwnsnndncncbd
The ratio is 6 basketballs to 4 soccer balls, or generally 6:4

Can anyone help me out? That would be greatly appreciated!

Answers

B. SAS

Pretty much the way I look at it, there is one angle, and 2 sides beside it. Easiest way for me to explain.

Answer:

im not really sure but i believe the answer is B.SAS.

i also know It Not C.HS and D. non of the above.

3 (x – 4) = 2x + 6
solve for x

Answers

Answer:

Step-by-step explanation:

3 (x – 4) = 2x + 6                  Remove the brackets

3x - 12 = 2x + 6                    Add 12 to both sides.

3x - 12 + 12 = 2x + 6 + 12     Combine

3x = 2x + 18                         Subtract 2x from both sides

3x-2x = 2x-2x + 18              Combine

x = 18

If x2 = 10, what is the value of x?

Answers

Answer:

The value of x is 5

Step-by-step explanation:

5 x 2 = 10

Answer~

x= ±[tex]\sqrt{10} =[/tex] ± 3.1623

simplifyied~

x = 5

The population of a town is 8,000, and it grows at a rate of 4.6% per year. What will the population be in 10 years?

Answers

Answer:

11680

Step-by-step explanation:

4.6% of 8000 is 368

368 x 10 = 3680

3680 + 8000= 11680

Write an equivalent expression for 2(3x + 5). ​

Answers

Answer:

I suggest that you use Socratic to solve this.

Step-by-step explanation:

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{This equation requires us to do}\\\huge\textbf{distributive property.}[/tex]

[tex]\huge\textbf{If you're unsure what the}\\\huge\textbf{distributive property formula is,}\\\huge\textbf{it is: }[/tex]

[tex]\large\textbf{a(b + c)}[/tex]

[tex]\large\textbf{= a(b) + a(c)}[/tex]

[tex]\large\textbf{= ab + ac}[/tex]

[tex]\huge\textbf{Now, that we have that information}\\\huge\textbf{out of the way, we can find the}\\\huge\textbf{result of your given equation.}[/tex]

[tex]\huge\textbf{Your equation that you provided:}[/tex]

[tex]\large\textbf{2(3x + 5)}[/tex]

[tex]\large\textbf{= 2(3x) + 2(5)}[/tex]

[tex]\large\textbf{= 6x + 10}[/tex]

[tex]\huge\textbf{Do you see how interesting it was to}\\\huge\textbf{find the result to the question? }\huge\boxed{:)}[/tex]

[tex]\huge\textbf{Anyway! Let's label our result since}\\\huge\textbf{we found it already while working it out.}[/tex]

[tex]\huge\textbf{Thus, your answer should be: \boxed{\mathsf{6x + 10}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjo your day!}[/tex]

~[tex]\huge\boxed{\frak{Amphitrite1040:)}}[/tex]

Solve for X
3= x/3.3 x=

Answers

X=9.9 I believe (sry if I’m wrong)

Write the number below in expanded notation 75,966

Answers

7.596 to the 4th power


6. When you find the unit rate of an item you are finding the cost of ____.

Answers

Answer:

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

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