At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.

A tree diagram. Random student to studies for test is 0.6, and to does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.

The professor informs the class that there will be a test next week. What is the probability that a randomly selected student studied if they do not pass the test with a B or higher?

0.45
0.46
0.54
0.59

Answer:

X = 56/14 = 4

Step-by-step explanation:

Step-by-step explanation:

Solo te puedo dar respuestas para algunas (lo siento) Los puse en orden, cuadros izquierdos a derechos, de los que no contestaste

3,200,000 -> 3.2x10^6 notacion cientifica

4 x 3 + 9 - 7 = 14

356 / 2 = 178

12^4/12^3 = 12

1448 / 8 = 181

78923 x 13 = 1,025,999

Segundos de 17 minutos es 60 x 17 = 1,020

10^-5 = 0.00001

3^3 = 3 x 3 x 3 = 27

3,561,201 - 104, 308 = 3,456,893

6^3 x 6^ 4 = 279, 936

Siglo actual = siglo 21

Answer:

A (no because the graph is not a straight line)

Step-by-step explanation:

The rate of change is not consistent, and therefor is not proportional.

Answer:

(D) No, because the graph does not pass through the origin.

Step-by-step explanation:

because its the correct answer (im smart)

Answer:

#3

Step-by-step explanation:

Answer:

c 7 mins

Step-by-step explanation:

Answer:

y=[tex]x^{2}[/tex]-4

Answer:

0

Step-by-step explanation:

Average rate of change from x = -3 to x = 5.

When x = -3, y = -1. That is f(-3) = -1

When x = 5, y = -1, That is f(5) = -1

Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

[tex] a = -3, f(a) = -1 [/tex]

[tex] b = 5, f(b) = -1 [/tex]

Plug in the values into the equation:

[tex] = \frac{-1 - (-1)}{6 -(-3)} [/tex]

[tex] = \frac{0}{8}  [/tex]

[tex] = 0 [/tex]

Average rate of change = 0

Answer:

44%

Step-by-step explanation:

40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%

Answer:

x

Step-by-step explit can only be a function if every input has its own output

Answer:  0.4016

Step-by-step explanation:

Let x be a random variable that represents the height of women in a country.

Mean : [tex]\mu=64.3[/tex] inches

Sample size : n= 65

Standard deviation: [tex]\sigma=2.81[/tex]

The probability that the mean height for the sample is greater than 65 inches = [tex]P(x>65)=1-P(x<65)[/tex]

[tex]=1-P(\dfrac{x-\mu}{\sigma}<\dfrac{65-64.3}{2.81})\\\\= 1-P(z<0.2491)\\\\=1-0.5984\ \ \ \text{[By p-value table]}\\\\=0.4016[/tex]

Hence, the probability that the mean height for the sample is greater than 65 inches = 0.4016

Answer:

In order to make a table representing a rate, you would have to find the unit rate of what you need. Then you would take it and multiply it by the multiple, or divide it by the factor needed.

Step-by-step explanation: Example

Unit rate=1:2

                     Make multiples and input into graph(the colons represent the graph)

input:output

[1:2]

[2:4]

[3:6]

[4:8]

[5:10]

Answer:

I would tell them to copy what I am doing

Given:

[tex](g\circ f)(a)=|a|-2[/tex]

To find:

The functions f(x) and g(x).

Solution:

We know that,

[tex](g\circ f)(a)=g[f(a)][/tex]

If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then

[tex](g\circ f)(a)=g[a^2-4][/tex]

[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]

Option A is incorrect.

If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then

[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]

[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]

[tex](g\circ f)(a)=a-2-2[/tex]

[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]

Option B is incorrect.

If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then

[tex](g\circ f)(a)=g[5+a^2][/tex]

[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]

[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]

[tex](g\circ f)(a)=|a|-2[/tex]

Option C is correct.

If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then

[tex](g\circ f)(a)=g[3-3a][/tex]

[tex](g\circ f)(a)=4(3-3a)-5[/tex]

[tex](g\circ f)(a)=12-12a-5[/tex]

[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]

Option D is incorrect.

Therefore, the correct option is C.

Answer:

The average price of the stock over the first six years is 56.669 US dollars.

Step-by-step explanation:

Since the price is a continuous and differentiable function, we can determine the average price by means of the following integral equation:

[tex]\bar S = \frac{1}{t_{F}-t_{O}}\cdot \int\limits^{t_{F}}_{t_{O}} {S(t)} \, dt[/tex] (1)

Where:

[tex]t_{O}[/tex] - Initial time, measured in years.

[tex]t_{F}[/tex] - Final time, measured in years.

If we know that [tex]t_{O} = 0\,yr[/tex], [tex]t_{F} = 6\,yr[/tex] and [tex]S(t) = 46+12\cdot e^{-0.04\cdot t}[/tex], then the average price of the stock over the first six years is:

[tex]\bar S = \frac{46}{6-0} \int\limits^6_0 dt +\frac{12}{6-0}\int\limits^6_0 {e^{-0.04\cdot t}} \, dt[/tex]

[tex]\bar S = \frac{23}{3}\cdot t|\limits_{0}^{6}-\frac{2}{0.04}\cdot e^{-0.04\cdot t}|_{0}^{6}[/tex] (2)

[tex]\bar S = \frac{23}{3}\cdot (6-0)-\frac{2}{0.04}\cdot [e^{-0.04\cdot (6)}-1][/tex]

[tex]\bar S = 56.669\,USD[/tex]

The average price of the stock over the first six years is 56.669 US dollars.

9514 1404 393

Answer:

  $110

Step-by-step explanation:

At an average rate of $3 per day, in 14 days Brian will have spent ...

  ($3/day)(14 days) = $42

If he has $68 left, then he must have started with ...

  $68 +42 = $110

Answer:

qwsedfgh

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.

Answer:

16.4 feet, so about 16 feet.

Step-by-step explanation:

500 / 30.48 = 16.4

Answer:

=90m+5

Step-by-step explanation:

hope this helps

Answer:

[tex]R= 2.6[/tex]

Step-by-step explanation:

Given

[tex]f(x) = 40e^{.06t[/tex]

[tex][a,b] = [0,3][/tex]

Required

Determine the average rate of change (R)

This is calculated as follows:

[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]

Where

[tex]a = 0[/tex] and [tex]b = 3[/tex]

Substitute 0 for a and 3 for b

[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]

[tex]R = \frac{f(3) - f(0)}{3}[/tex]

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

Calculate f(3)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(3) = 40e^{.06*3}[/tex]

[tex]f(3) = 40e^{0.18}[/tex]

[tex]f(3) = 40 * 1.197[/tex]

[tex]f(3) = 47.88[/tex]

Calculate f(0)

[tex]f(x) = 40e^{.06t[/tex]

[tex]f(0) = 40e^{.06*0}[/tex]

[tex]f(0) = 40e^{0}[/tex]

[tex]f(0) = 40*1[/tex]

[tex]f(0) = 40[/tex]

So, the expression:

[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]

[tex]R= \frac{1}{3}[47.88 - 40][/tex]

[tex]R= \frac{1}{3}[7.88][/tex]

[tex]R= 2.62666666667[/tex]

[tex]R= 2.6[/tex]

Hence, the average rate of change is approximately 2.6

Answer:

5.44 gallons of paint

Step-by-step explanation:

First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.

Area=(length*width)4

Area=(12*8.5)4

Area=(102ft^2)4

Area=408ft^2

Therefore, the total area of the walls is 408ft^2.

Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.

408/75

=5.44 gallons

Therefore, we would need 5.44 gallons of paint to paint the four walls.

I hope this helps!

Answer:

w= -5/6

Step-by-step explanation:

That the right answer

Answer:

1 time

Step-by-step explanation:

This is the answer because:

1) 22 x 1 = 22

2) If we do 22 x 2, the number will become larger than 30

3) Therefore, 22 can only go one time into 30 because 30/22 = 1 R8 

Hope this helps!

Answer:

D

Step-by-step explanation:

D option is correct xy=-10

if this was to u plzz mark me the brainliest

Pretty with this. this is worth 20

Answer:

D.

Step-by-step explanation:   {y1=mx1+b}

x1      l      y1

------------------

8       l    104   <------------Answer

12      l    146

        l

        l

m = 10.5    

b = 20

Answer:

B

Step-by-step explanation:

Because they took the correct steps to answer the equation.They also got the right answer (-2).

At the begining they added 4 to both sides (to cancel out the 4)

C would be wrong because they subtracted 4 from a negative four and this does NOT cancel it out.

Have a Supercalifragilisticexpialidocious day, I hope you like my explination. If you do please give rating or brainliest :)

Answer:

$667.80

Step-by-step explanation:

30% of 900 is 270, so the price of the TV would be 630 without the tax. 6% of 630 is 37.8, so in total, the price would be $667.80

Answer:

-12, -3, 5, 9

Step-by-step explanation:

ok. So the numbers are 5, -3, -12, and 9.

In these numbers, there are 2 negatives. They are -12 and -3.

In negatives, the bigger the number is, the number is smaller.

So we first put

-12, -3 as our 2 first. Then the other ones are 5 and 9.

and you obviously know that 5 is less than 9. try it out. 9-5 =4 which is positive

So then you put 5, 9

And our full answer is

-12, -3, 5, 9