i am really confused.

The probability that someone that gets an A actually studied for the Psychology test is 0.15 or 15% if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Let A = the students get an A

Let B = the student's studied for the psychology test

We know that probability:

P(B) = 60% = 0.60  and

P(A/B) = 25% = 0.25

We know that:

[tex]\rm P(A/B) = \frac{P(A\cap B)}{P(B)} = 0.25[/tex]

Now the probability that someone that gets an A actually studied for the Psychology test:

P(A∩B) = P(B) ×0.25

P(A∩B)  = 0.60×0.25

P(A∩B)  = 0.15

Thus, the probability that someone that gets an A actually studied for the Psychology test is 0.15 if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.

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The total amount accrued, principal plus interest, with compound interest on a principal of $3,500.00 at a rate of 2.25%  is $4,779.19.

Given Data

A = P + I where

P (principal) = $3,500.00

I (interest) = $1,279.19

Calculation Steps:

First, convert R as a percent to r as a decimal

r = R/100

r = 2.25/100

r = 0.0225 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 3,500.00(1 + 0.0225/1)^(1)(14)

A = 3,500.00(1 + 0.0225)^(14)

A = $4,779.19

Learn more about compound interest here:

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Answer:

Likekly

Step-by-step explanation:

P(particular event) = [tex]\frac{2}{3}[/tex]

Out of 3, 2 is success. so, it is likely

Answer:

y = –three-fourthsx

Step-by-step explanation:

If g(x) is the inverse of f(x), then by definition of inverse function,

f(g(x)) = g(f(x)) = x

Given that f(x) = 5x - 4, we have

f(g(x)) = 5 g(x) - 4 = x

Solve for g(x) :

5 g(x) - 4 = x

5 g(x) = x + 4

g(x) = (x + 4)/5

The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.

Form the task content;

The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.

Read more on translation in the Cartesian plane;

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Answer:

12.8kg

Step-by-step explanation:

1 book =0.8kg

16 books=16*0.8kg

which is equal to 12.8kg

Answer: 25($0.05)+4($0.45)

Cost of bead +cost of charm needed for 1bracelet

Step-by-step explanation: If you need to break it down further,

$1.25+$1.8=$3.03.05

Answer:

∠ E ≈ 71°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos E = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EG}{EF}[/tex] = [tex]\frac{21}{63}[/tex] , then

∠ E = [tex]cos^{-1}[/tex] ( [tex]\frac{21}{63}[/tex] ) ≈ 71° ( to the nearest degree )

Answer:

Sector area= 3.143 units²

Arc length = 2.095 units

Answer:

arc length = 3 * 40° * (PI / 180)

arc length = 2.0943951024

sector area = (radius * angle (radians))

sector area = (3 * 0.6981317008)

sector area = 3.1415926536

Source: https://www.1728.org/radians.htm

Step-by-step explanation:

Answer:

y = -1/2x+1

Step-by-step explanation:

First step is to find the slope

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

    = ( 4-2)/(-6 - -2)

       (4-2)/(-6+2)

       2/-4

     -1/2

Then we can use the slope intercept form of a line

y = mx+b  where m is the slope and b is the y intercept

y = -1/2x+b

Substitute a point into the equation to find b

2 = -1/2(-2) +b

2 = 1+b

Subtract 1 from each side

1 =b

y = -1/2x+1

y = mx + b

Where m = slope and b is the y intercept

Let's find the slope = change in y/change in x

m = (4-2)/(-6+2) = 2/-4 = -1/2

Now we have:

y = (-1/2)x + b

Now substitute point (-6,4)

4 = (-1/2)(-6) + b

4 = 3 + b

b = 1

So y = (-1/2)x + 1 is the equation

ANSWER:

[tex]y=(-\frac{1}{2})x[/tex]+1

so letter c

Since 120 = 12 • 10 and LCM(x, 12) = 120, these suggest x is some multiple of 10.

HCF(x, 12) = 4 tells us that x is a multiple of 4.

If x is a both a multiple of 4 and 10, then the smallest x that fits both conditions is 4 • 10 = 40. (-40 also satisfies the criteria.)

The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.

The Lowest Common Multiple (LCM) of the numbers is the smallest common multiple of the given numbers.

The Highest Common Factor (HCF) of the numbers is the greatest factor of the given numbers.

In the case of two numbers, the product of LCM and HCF is equal to the product of the numbers.

We are given two numbers, x and 12.

Their LCM and HCF are 120 and 4 respectively.

We are asked to find the number x.

For two numbers, we know that the product of two numbers is equal to the product of their HCF and LCM.

∴ x*12 = 120*4

or, 12x = 480

or, x = 480/12

or, x = 40.

∴ The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.

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Answer:

Gimme brainliest

Step-by-step explanation:

ip grabber goated

Answer:

I guess both of the answers are correct.Hope the picture will help you.....

Answer: the answer on khan academy is 144 pie units^3

Answer:

mAngle 1 = 40°

Step-by-step explanation:

You can use Corresponding Angles to directly state Angle1 is 40°. If you have to prove it you can show that the horizontal lines are parallel bc they are both perpendicular to the same line (the vertical line in the middle)

OR...

Use vertical angles and supplementary angles to find all the six pack of angles right in the middle of the diagram. 40°, 50°, 90°, 40°, 50° 90° And the use the idea that a triangle's three angles must add up to 180°.

90+50+Angle1=180

140 + Angle1 = 180

Angle1 = 40°

The amount you would pay altogether if you borrow $500 for  5 years at

an annual interest rate of 7% is $945.

The amount you would pay altogether is the sum of the amount borrowed and the interest.

Total value of the debt = interest + amount borrowed

Interest = $700 x 7% x 5 = $245

Total value of the debt = $245 + $700 = $945

Answer:

B) Rs. 200 is C.P. when shopkeeper gains 20% even though he offers 20% discount on a watch having M.P. Rs 300

Answer:

137

Step-by-step explanation:

There were 16 packs of cola with 8 cans each, so that is 8 16 times, or 16 · 8.

16 · 8 = 128 cans

The amount of cans Maria brought is already given. All that's left is to add the amounts.

128 + 9 = 137

They brought 137 cans in all.

hope this helps!

Answer:

c

Step-by-step explanation:

if this is wrong im sorry...

Answer:

B

Step-by-step explanation:

Is the correct answer

[tex]area = length \times width[/tex]

____________________________________________

c .

[tex]area = \frac{3}{8} \times \frac{4}{5} \\ [/tex]

[tex]area = \frac{4 \times 3}{4 \times 2 \times 5} \\ [/tex]

[tex]area = \frac{3}{2 \times 5} \\ [/tex]

[tex]area = \frac{3}{10} \: \: {cm}^{2} \\ [/tex]

_____________________________________________

d.

[tex]area = \frac{1}{4} \times \frac{3}{7} \\ [/tex]

[tex]area = \frac{3}{28} \: \: {m}^{2} \\ [/tex]

Answer:

18 Games

Step-by-step explanation:

For this problem we will have to use the same percentage Therom again, except this time we are solving for a diffrent variable.

Total Games * Percentage won in fraction form = Games won

Fill the values.

30 * 3/5 = X

Simplify

18=X

Answer:

10n-13

Step-by-step explanation:

Answer:

=d+6c

Step-by-step explanation:

I hope this is the right answer

Answer:

120 degrees

Step-by-step explanation:

the angle at the center is called the central angle and you can tell because J is the center of the circle

The minor arc that is between point H and point K (the shorter way) is the same measure as the central angle

Answer:

x = 85°

y = 45°

Step-by-step explanation:

For x, a line measures 180°, so subtract 95° from 180° to get 85°.

For y, all the angles in a triangle measure to 180°, and since we know x, add it to 50° and subtract it from 180°. 85° + 50° = 135°, and 180° - 135° = 45°

Answer:

x = 85

y = 45

Step-by-step explanation:

for x, angles on a straight line add up to 180 so 95 + x = 180 then evaluate for x

for y, angle in a triangle add up to 180 so 50+85 (as evaluated for x) +y= 180 and evaluate for y

Answer:

∅

Step-by-step explanation:

y = -x - 2

3x + 3y = 6

3x + 3(-x - 2) = 6

3x - 3x - 6 = 6

0x - 6 = 6

0 = 12

SOLUTION DNE (∅)

I hope this helps!

Answer:

3^14

Step-by-step explanation:

Taking a look at the question, try to break it down into these general steps:

1. Identify the base number. Are they the same? In this case, the base number is 3 so they are the same.

2. Recall the rules when multiplying exponents. In this case, multiplying exponents across will end up being 9+5.

3. Rewrite the equation as 3^(9+5). This should give you 3^14