The graphs below have the same shape. f(x)=x². What is the equation of the graph of g(x) ?
A. g(x)=(x-2)²
B. g(x)=(x+2)²
C. g(x)=x²+2
D. g(x)=x²-2

Answer:

a) p(the student did not do homework and he/she passed the course) = 0.09

b) p(the student did not do homework given that she/he passed the course) = 0.125.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. p(the student did not do homework and he/she passed the course)

If a student does not do homework most days, the chance of passing the course is only 30%. 100 - 70 = 30% don't do homework on a regular basis.

So

0.3*0.3 = 0.09

p(the student did not do homework and he/she passed the course) = 0.09

b. p(the student did not do homework given that she/he passed the course)

Conditional probability.

Event A: Passed the course

Event B: Did not do homework.

p(the student did not do homework and he/she passed the course) = 0.09

This means that [tex]P(A \cap B) = 0.09[/tex]

Probability that the student passes the course:

90% of 70%(do homework)

30% of 30%(do not do homework).

This means that:

[tex]P(A) = 0.9*0.7 + 0.3*0.3 = 0.72[/tex]

p(the student did not do homework given that she/he passed the course)

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.09}{0.72} = 0.125[/tex]

So

p(the student did not do homework given that she/he passed the course) = 0.125.

Answer:

c

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Math

Answer:

I Belive so

Step-by-step explanation:

Answer:

45 i think

Step-by-step explanation:

[tex]\huge{ \mathbf{  \underline{ Answer }\:  \:  ✓ }}[/tex]

Vertical Angles are pair of two angles opposite to each other formed by two lines intersecting each other. And they have equal measures.

So, if [tex]\angle A[/tex]\angle B[tex][/tex] are vertical angles then they have equal measures .

[tex] \large\boxed{ \angle A = \angle B}[/tex]

_____________________________

[tex]\mathrm{ \#TeeNForeveR}[/tex]

Answer:

13

Step-by-step explanation:

substitute the five into the equation. :)

Answer: a = 1, 1r = 3, 0.4n = 7

Step-by-step explanation:

r= 3, 0.4n = 7, a1 = 1 : a = 1, n = 35/2, r = 3

Answer:

B : 7

Step-by-step explanation:

Answer:

Not exactly sure if this is right.

I am pretty sure that 10 and x-3 are like congruent angles.

So x - 3 = 10

Add 3 to both sides.

x = 13.

Hope this helps!

Answer:

Knowledge Check The table of ordered pairs (x, y) gives an exponential function. Write an equation for the function. x y -1 6 0 12 1 1 24 2. 48 88 O х ? I Don't ...

Step-by-step explanation:

Answer:

[tex]35 cm^{2}[/tex]

Step-by-step explanation:

5 x 14 divided by 2 = 35

Answer:

Answer is B

Step-by-step explanation:

I just did it.

Answer:

b

Step-by-step explanation:

I know because of the kid above this

Answer:

10/15

Step-by-step explanation:

The probability is 10/15 or 67% chance

Options :

B) ACT scores account for 57.74% of the total fluctuation in GPA.

B) ACT scores account for 57.74% of the total fluctuation in GPA.

C) GPA accounts for 57.74% of the variability of ACT scores.

D) None of the above.

Answer:

B) ACT scores account for 57.74% of the total fluctuation in GPA.

Step-by-step explanation:

The R-squared value, called the Coefficient of determination gives the percentage or proportion of variation in the dependent variable which is due to or caused by the independent variable.

In the study above, the independent variable is the ACT score, is used to draw a regression relationship between the GPA of students, with GPA being the dependent variable.

The R² :value being 0.5774 means that (0.5774 * 100%) = 57. 74 % of variation in students GPA is caused by the regression line (independent variable which is the ACT SCORE).

HENCE, we can conclude that ACT Score is responsible of 57. 74 % variation in GPA while the remaining percentage is due to other factors.

Answer:

B, (x-5) square =21

Step-by-step explanation:

B, (x-5)square =21

Answer:

B

Step-by-step explanation:

Answer:

1 is the answer

Answer:

12 in

Step-by-step explanation:

C=2pi *r

75/2(3.14)=r

r=75/6.28

~11.94~12 inches

if my answer helps please mark as brainliest

Answer:

12 in

Step-by-step explanation:

Circumference:

C = 2πr

75 = 2(3.14)r

75 = 6.28r

r = 75/6.28

r = 11.95 ≈ 12

Answer:

14x+4 = 4x+44

14x - 4x = 44 - 4

10x = 40 ...... x = 4

《60°》.....

5y = 120

y = 120/5 => y = 24

:

The percent increase is found by finding the difference between the two prices and then dividing that different by the beginning price.

For this example it would be 65-39= $26. So $26/$39(the starting price) is 0.666... This is equivalent to about 66.67%. So, the price of the card increased by about 66.67%

Answer:

66.7%

Step-by-step explanation:

the value increased by 26

percentage increase =increase /initial value ×100

=26/39×100=66.7%

Answer:

A=706.5 ft^2

Step-by-step explanation:

Area of circle: π r^2

r=radius

In this case, r=15

So,

A=3.14(15^2)

A=3.14*225

A=706.5 ft^2

Answer:

The company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.

Step-by-step explanation:

Given that a company that manufactures small canoes has a fixed cost of $ 14,000, and it cost $ 40 to produce each canoe while the selling price is $ 80 per canoe, to determine the number of canoes that the company produces and the amount of money it makes after selling them, the following calculation must be carried out:

14/000 / 40 = X

350 = X

350 x 80 = 28,000

Thus, the company manufactures about 350 canoes, obtaining $ 28,000 after selling them all.

Answer:

Step-by-step explanation:

1271 = 31 *41

31 and 41 are prime number.