SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on the data from the College Board ATP). If a sample of 15 students is selected randomly, find the probability that the sample mean is above 500. Does the central limit theorem apply for this problem?

Answer:

The algebraic expression will be:

Step-by-step explanation:

Given the statement in English words

''8 less than the product of 6 and a number is the same as 5 more than the number''.

Let us break down the statement into an algebraic expression

FIRST PART

Let 'n' be the number

so

The product of '6' and a number 'n' = 6n

∵Because 6 is a coefficient and n is a variable

now

8 less than the product of 6 and a number 'n' will be: 8-6n

2ND PART

5 more than the number 'n' means we need to add '5' into a number 'n'

i.e

5+n

COMBINE STATEMENT

Thus, the combined statement ''8 less than the product of 6 and a number is the same as 5 more than the number'' can be written as:

8-6n = 5+n

Thus, the algebraic expression will be:

VERIFICATION:

Let us verify by finding the value of n

8-6n = 5+n

8-5 = 7n

7n = 3

n = 3/7

substituting n=3/7 in the equation

8-6n = 5+n

8 - 6(3/7) = 5+(3/7)

38/7 = 38/7

TRUE

Thus, the equation is true.

Answer:

60 months = $8950

l month = ?

8950÷ 60

= $ 149 per month

Answer:

this is my answer but it's on you if you think this answer is correct or wrong

[tex]f(x)=2x^2+6x-4[/tex]

Find the f(-5) by substituting x = -5 in the equation.

[tex]f(-5)=2(-5)^2+6(-5)-4\\f(-5)=2(25)-30-4\\f(-5)=50-34\\f(-5)=16[/tex]

Therefore, the answer is f(-5) = 16.

Answer:

10n - 3 = -13

Step-by-step explanation:

Answer:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Step-by-step explanation:

From the given information;

The total number of beads  = 10 + 8 + 11 = 29

To choose k beads out 29 beads, let assume that [tex]t_k[/tex] be the no. such that:

[tex]t_k = ( ^{29}_{k}) \ \ \ where; k =0,1,2,3,....,29[/tex]

∴

The sequence [tex]\{ t_k\}^{29}_{k=0} = (^{29}_{k})[/tex]

The generating function for [tex]\{ a_k \}^n_{k=0}[/tex] is:

[tex]G(x) = a_o +a_1x +a_2x^2 +...+a_nx^n[/tex]

[tex]G(x) = \sum \limits ^{n}_{k=0} \ a_k x^k[/tex]

For the sequence above;

[tex]G(x) = \sum \limits ^{29}_{k =0 } (^{29}_{k}) x^k[/tex]

By applying binomial series [tex](1+x)^n = \sum \limits ^n_{k=0} ( ^n_k) x^k[/tex]

Thus:

[tex]\mathbf{G(x) = (1 + x)^{29}}[/tex]

Answer:

c=4

Step-by-step explanation:

3(c+4)

3c+12

c=4

I hope this is correct and have a great day

Answer:

43

Step-by-step explanation:

just trust me

Answer:

25%

Step-by-step explanation:

Initial no of students = 16,000

Final no of students = 20,000

We need to find the percent increase in enrollment.

The increase in no of students = 20,000 - 16,000

= 4000

Percentage = (increase/initial no of students) × 100

[tex]\%=\dfrac{4000}{16000}\times 100\\\\=25\%[/tex]

Hence, the percent increase is 25%.

Answer:

y=20x+40

Step-by-step explanation:

slope-intercept form is y=mx+b. In order to place the equation into such format, you first need to move the 20x to the right, meaning you subtract it from both sides. you are left with -y=-20x-40. Since y cannot be negative or have any coefficient other than positive 1, you divide both sides by -1. -20/-1=20,, -40/-1=40,,-1/-1=1. Therefore, you are left with y=20x+40

Answer:

Step-by-step explanation:

5

Soup B has more sodium per cup.

The unitary method is a method in which you find the value of a unit and then the value of a required number of units.

Given : Soup A has 5 grams of sodium in every 12 cups. Thus sodium per cup in soup A is = 0.42 g/cup

Soup B has 8 grams of sodium in every 13 cups.  Thus sodium per cup in soup B is 8/12=0.6667 g/ cup

Hence, Soup B has more sodium per cup.

Learn more about the unitary method here:

https://brainly.com/question/22056199

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Answer:

C.

THis is a right angle making it 90°

Therefore, 6x-15) + x = 90

Step-by-step explanation:

Answer: (a) 13 (b) 1

Step-by-step explanation: The absolute value of -6 is 6. That equal 6 plus 7 which is 13. In the second equation, add -6 and 7 first. That is 1 and the absolute value of 1 is 1.

Answer:

A.13 b.-1

Step-by-step explanation:

a 6+7=13

b 6- -7=-1

Answer:

the answer is d because it is

Answer:

D is the slope

Step-by-step explanation:

Answer:

5 weeks

Step-by-step explanation:

Answer:

B) -|x+3|

Step-by-step explanation:

Use the equation y=a|x-h|+k

a=-1 since the graph opens downwards with no stretch or shrink

h=-3 since the horizontal shift is 3 units right

k=0 since there's no vertical shift

Therefore, our equation is y=-|x+3| making B the correct answer

Answer:

C) English

Step-by-step explanation:

I don't really know how to explain it, so I'll show you instead.

For science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

So,

0.5 x 0.5 x 0.5 x 0.5 x 0.5 x 0.5 = 0.016

For English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

So,

0.25 x 0.25 x 0.25 x 0.25 = 0.004

They will have to study English (0.004) because it is lower than science (0.016).

The quiz he should study is; English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).

We are told that for science, there are 6 of 6 correct answers with a 0.5 chance of answering correctly.

Thus;

P(6) = 0.5⁶ = 0.016

We are told that for English, there are 4 of 4 correct answers with a 0.25 chance of answering correctly.

Thus; P(4) = 0.25⁴ = 0.004

Thus, we conclude that they will have to study English because the probability of getting all questions correct is 0.004 which is lower than for science (0.016).

Read more about Probability at; https://brainly.com/question/251701

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Answer:

-12 + 3v Is the answer

Hope this helps :)

Answer:jkcv

ijfklgjk

Step-by-step explanation:

vn vvcxkhvxcl

Answer:

1/3

Step-by-step explanation:

transfer 4 to the other side then the sign will be minus

then divide 1 by 3

Answer:

To find the x-intercept, substitute in 0 for y and solve for x.

To find the y-intercept, substitute in

0 for x and solve for y.

x-intercept(s):

(43,0)

y-intercept(s):

(0,4)

Step-by-step explanation:

hope this helps!

(Sorry if it doesn't)

:)

Answer:

24.61

Step-by-step explanation:

7% of 23 is 1.61

so add 1.61 to 23 = 24.61

Answer: (-2,1)

Step-by-step explanation:

Step-by-step explanation:

and then we will have access you to get the information you want to cry because you have to be around and he said why he was about the feudal of his heart is the only way he could get his life back to

Answer:

it is 2 in 4800

Step-by-step explanation:

it's because of math. it's either that or 2000

Answer:

X=5

Step-by-step explanation:

Answer:

CD

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

Answer:

$45

Step-by-step explanation:

x=1.5(30)

x=45