Suppose that height of community college students is a normally distributed random variable with a mean of 66 inches and a standard deviation of 5 inches. Calculate the Z-score for a student whose height is 70 inches.

Just stating an answer is not enough – you need to show how you are calculating the Z-score.

Answer:

10n - 3 = -13

Step-by-step explanation:

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:

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:

[tex]190\frac{26}{29}[/tex]

Step-by-step explanation:

____190__

29 | 5346

     -29 (29*100=2900)

________

      2446

     -232 (29*90=232)

________

           26

Therefore, the answer is [tex]190\frac{26}{29}[/tex]

In the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

We have the following operation -

5346 ÷ 29

We have to write the result of above division in mixed form.

The division algorithm says when a number 'a' is divided by a number 'b' gives the quotient 'q' and the remainder 'r' then the following relation exists-

a = bq + r

where 0 ≤ r < b.

This is also known as Euclid's division lemma.

According to the question, we have -

5346 ÷ 29

Let A = 5346 ÷ 29. Therefore -

A = [tex]$\frac{5346}{29} = 184\frac{10}{29} .\\[/tex]

Hence, in the mixed form we can write → 5346 ÷ 29  as  [tex]$184\frac{10}{29} .\\[/tex]

To solve more questions on Mixed numbers, visit the link below-

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Step-by-step explanation:

first, find the value of angle t

angles of a triangle add up to 180.

with this, we can set up the equation

180 = t + 62 + 56

t = 62

to find angle w, find the sum of the top angles

25 + 56 = 81

again, sum of angles in a triangle adds to 180.

since we have the bottom right angle and the top angle, we can find the bottom left angle

180 = 56 + 62 + w

w = 37

finally we can find angle v

180 = 25 + w + v

180 = 25 + 37 + v

v = 118

another approach would be to find angle v after finding angle t.

because the two angles are supplementary, they add up to 180

angle v + angle w = 180

Answer:

Step-by-step explanation:

you would add 60 + 90 then subtract it from 180

Answer:

Easy so it's a 90 degree angle so 90 goes at the end.

Example: 3x+60=90

60-60=0

and then 90-60=30

now u have 3x=30

after this u divide by 3

30/3=10

x=10

answer is 10

and also can u plz answer my recent question

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:

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:

thanks for the points

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:

-12 + 3v Is the answer

Hope this helps :)

Answer:

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

Answer:

B) d-5=310

Step-by-step explanation:

Hope this helps!

[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:jkcv

ijfklgjk

Step-by-step explanation:

vn vvcxkhvxcl

Answer:

open

Step-by-step explanation:

beacause

2x+5=1

2x=1-5

2x=-4

x=-4/2

x-2 so its open

An open statement is a statement that has an unknown variable

[tex]2x + 5 = 1[/tex] is an open statement

The equation is given as:

[tex]2x + 5 = 1[/tex]

From the equation, we have the following observations.

2, 5 and 1 are constants

x is a variable

Because the equation has a variable (i.e. x), then it is an open statement

Hence, [tex]2x + 5 = 1[/tex] is an open statement

Read more about open statements at:

https://brainly.com/question/11151728

Answer:

1:2

Step-by-step explanation:

Answer:

CD

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

Answer:

60 months = $8950

l month = ?

8950÷ 60

= $ 149 per month

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:

0.25

Step-by-step explanation:

2.00÷8=0.25 and the rate keeps going constant at a rate of 0.25

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:

the answer is d because it is

Answer:

D is the slope

Step-by-step explanation:

Answer:

5 weeks

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

just trust me

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