According to one source, the average cumulated college student loan debt for a graduating senior is $29,400. Assume that such debt is normally distributed and that the standard deviation is $5,684. Thirty percent of these graduating seniors owe more than what amount?

Answer:

4

Step-by-step explanation:

The incorrect step is Step 4, cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y), the correct option is C.

Trigonometric Identities are based on the trigonometric ratios used to solve Trigonometric equations.

The steps used to solve the trigonometric identity are :

Step 1 :  sin(x+y)

Step 2: cos ((π/2) - (x+y))

Step 3 : cos ( (π/2 -x) -y)

Step 4 : cos (π/2 -x) cosy + sin (π/2 -x)siny

Step 5: sinxcosy+cosxsiny

Therefore,the correct step is cos (π/2 -x) cosy + sin (π/2 -x)siny  and not cos (π/2 -x) cos(-y) + sin (π/2 -x)sin(-y) , the incorrect step is Step 4.

The complete question is attached with the answer.

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Answer:

6/7

Step-by-step explanation:

Answer:

6/7

Step-by-step explanation:

divide it by 4

Answer:

D

Step-by-step explanation:

h(x)=12-0.5x

x=hour

Answer:

approximately $0.33

Step-by-step explanation:

you just do 178/5.34

Answer:

1.38889

Step-by-step explanation:

Answer:

your answer is 1.3889 plz mark brainlist thank you

Answer:

$300

Step-by-step explanation:

150/5 = 30, 30 x 10 = 300

Answer:

-3/4

Step-by-step explanation:

y2-y1/x2-x1

0-3/5-1

A line contains points M(1, 3) and N(5, 0). The slope of MN is -3/4.

A line's slope provides information on the steepness and direction of the line. By calculating the difference between the coordinates of the two locations, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them.

The slope, m, of the line, is calculated through the equation,

The formula used to find the slope is,

m = (y2 - y1)/ (x2 - x1)

Where (x1, y1) and (x2, y2) are the points

The given points on the line are:

M(1, 3) and N(5, 0)

Substituting it in the formula,

m = (0 - 3)/ (5 - 1)

m = -3/4

Therefore, the slope of MN is -3/4.

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Answer:

a)4.15 years

b)22.18 years

c)188.53 years

d)3027.66 years

Step-by-step explanation:

Formula : [tex]P(X\leq t)=1-e^{\frac{-t}{\lambda}}[/tex]

So, [tex]P(X>t)=1-(1-e^{\frac{-t}{\lambda}})[/tex]

[tex]P(X>t)=e^{\frac{-t}{\lambda}}[/tex]

We are given that The half-life of such a persistent poison is that time beyond which the probability is .50 that a particular molecule will remain toxic i.e. P(X>t)=0.5

So, [tex]e^{\frac{-t}{\lambda}}=0.5[/tex]

Taking natural log both sides

[tex]ln(e^{\frac{-t}{\lambda}})=ln(0.5)\\\frac{-t}{\lambda}=ln(0.5)\\t=-\lambda ln(0.5)[/tex]

a)

[tex]\lambda =6[/tex]

t=-(6) ln(0.5)=4.15 years

b)

[tex]\lambda =32[/tex]

t=-(32) ln(0.5)=22.18 years

c)

[tex]\lambda =272[/tex]

t=-(272) ln(0.5)=188.53 years

d)

[tex]\lambda =4368[/tex]

t=-(4368) ln(0.5)=3027.66 years

Answer:

A: 45

B: 110

C: 25

Step-by-step explanation:

all angles of a triangle always add together to make 180

x + 25 + x + 65 = 180

combine like terms

2x + 90 = 180

subtract 90 from both sides of the equation

2x = 180 - 90

divide both sides of the equation by 2

x = 90/2

x = 45

Answer:

can you provide more information

Step-by-step explanation:

Answer:

2.304

Step-by-step explanation:

Answer:

Step 2 is incorrect.

Step-by-step explanation:

It's incorrect because I'm pretty you need to do inverse operation. To get 24 you must subtract, not add.

Figure 2 as it is the same as original but bigger

Answer:

(-12,2)

Step-by-step explanation:

2x + 4y = -16

2y - x = 16

Multiply the bottom part by 2.

2x + 4y = -16

4y - 2x = 32

Add the equations and the answers to the equations up, and they will equal each other.

(2x + 4y) + (4y - 2x) = -16 + 32

8y = 16

y = 2

Plug y = 2 to the 2nd equation.

2*2 - x = 16

4 - x = 16

Subtract 4 from both sides.

-x = 12

Multiply both sides by -1.

x = -12

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

22.5

Step-by-step explanation:

Step 1:

8x - 50° = 6x - 5°              Vertical ∠'s

Step 2:

8x = 6x + 45°        Add 50° on both sides

Step 3:

2x = 45°     Subtrat 6x on both sides

Step 4:

x = 45° ÷ 2     Divide

Answer:

x = 22.5

Hope This Helps :)

Answer:

a, c, b

Step-by-step explanation:

ITS CORRECT TRUST MEEE

Answer:

pi = pi

Step-by-step explanation:

Circumference = 2 * pi * r

Equation you need:

43.96 = 2 * pi * 7

43.96 = 2 * 7 * pi

43.96 / 14 = pi

pi = 3.14

Answer:

i think its B

sorry if its wrong im not really sure by my answer

Answer:

the answer is D

Step-by-step explanation:

Answer:

n=0

Step-by-step explanation:

3n+5+2n=5+n+6n-n​

move like terms together

3n+2n+5=5+n+6n-n

simplify down

5n+5=5+6n

subtract 5n from each side

5=5+n

subtract 5 from each side

0=n

Answer:

1

Step-by-step explanation:

you asked to type 1

Answer:

B (6,7)

Step-by-step explanation:

point x has moved 2 places left, so you move z to places left

Answer:

yes your answer it right.... brainliest plsss

Answer:

me

Step-by-step explanation:

A bunch of bills for spectrum tv

Answer:

Step-by-step explanation:

1 . Dylan : $336/32 hrs = 10.50/ hr Angela : $420/42hrs = $ 10.00/hr

2. No because $ 10.50x25 262.50 where ambers is 15 420 there unit rate is different.

Answer/Step-by-step explanation:

We are given the following coordinates of two points on the line of the graph shown in the question as: A(2, 1) and B(4, 2)

Vertical change from point A = [tex] y_2 - y_1 = 2 - 1 = 1 [/tex]

Horizontal change from point A = [tex] x_2 - x_1 = 4 - 2 = 2 [/tex]

Rate of change = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1}{2} = 0.5 [/tex]

Answer:

Keith

Step-by-step explanation:

When you are rounding to the nearest hundred it would NOT include a tens or ones value. So in this case 1,300 would be correct.

Hope that helps and have a great day!