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?

Answer:

If simplifed, it'll be -v

Step-by-step explanation:

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

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

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Answer:

kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk

Step-by-step explanation:

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.

Answer:

11680

Step-by-step explanation:

4.6% of 8000 is 368

368 x 10 = 3680

3680 + 8000= 11680

Answer:

0.09=9\100

Step-by-step explanation:

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

Answer:

A

Step-by-step explanation:

A = 71 so then EG = 91

Answer:

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

Step-by-step explanation:

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.

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.

Answer:

-6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

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

Answer:yes they do

Step-by-step explanation:

Answer:

2 : 3

Step-by-step explanation:

BRAINLIEST PLEASE

Answer:

the measurement is 30 degrees

(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.

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.

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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

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.

Answer:

18

Step-by-step explanation:

Answer:

The value of n:

Step-by-step explanation:

Given that the line has slope 6.

i.e. m = 6

The line includes the points

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:

Answer:

2.02

Step-by-step explanation:

also you can do these on just a calculator :D

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]

Answer:

The value of x is 5

Step-by-step explanation:

5 x 2 = 10

x= ±[tex]\sqrt{10} =[/tex] ± 3.1623

x = 5

Answer:

1 -> 12s

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

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