Determine the number of x-intercepts that appear on a graph of eac
f(x) = (x + 1)(x - 3)(x - 4)

Answer:

Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

Are the outcomes L and F independent?

We are given that:

[tex]P(L \cap F) = 0.31[/tex]

Multiplication of the probabilities:

[tex]P(L)P(F) = 0.58*0.5 = 0.29[/tex]

Since [tex]P(L \cap F) \neq P(L)P(F)[/tex], the outcomes L and F are not independent.

The Sum of all 3 needs to equal 1

A. 1/9 + 1/2 + 1/3 = 17/18

B. 1/9 + 2/9 + 1/3 = 6/9 = 2/3

C. 1/6 + 3/9 + 1/3 = 3/18 + 6/18 + 6/18 = 15/18

D. 2/9 + 8/18 + 1/3 = 4/18 + 8/18 + 6/18 = 18/18 = 1

The answer is D

Answer:

$ 14.00

Step-by-step explanation:

10 · 1.75 = 17.50

17.50 · .20 = 3.5

17.50 - 3.50 = 14.00

good luck, i hope this helps :)

Answer:

Write a fraction using the percent over 100 and simplify. AND. Divide the percent by 100, write it as a fraction, and simplify.

Step-by-step explanation:

Let's test all the answers and see which statements are true.

Let's just use 50 as the percent to test it. These statements should end up looking like [tex]\frac{1}{2}[/tex]

Write a fraction using the percent over 10 and simplify.

[tex]\frac{50}{10} =5[/tex], half of ten is 5, so this makes it invalid.

Write a fraction using the percent over 100 and simplify.

[tex]\frac{50}{100} =\frac{1}{2}[/tex], this is valid.

Divide the percent by 100, write it as a fraction, and simplify.

[tex]\frac{50}{100} =\frac{1}{2}[/tex], valid!

Multiply the percent by 100, write it as a fraction, and simplify.

[tex]50*100=500[/tex], invalid.

The two valid statements are: Write a fraction using the percent over 100 and simplify. AND. Divide the percent by 100, write it as a fraction, and simplify.

Answer:

abc

Step-by-step explanation:

Answer:

(2). -4

(4). 8

Step-by-step explanation:

The opposite of a negative or positive number will always be it's absolute value.

Answer:

4/1

Step-by-step explanation:

Multiply both the numerator and denominator by the value you chose in step 2. So to turn the whole number 4 into halves, you would multiply 4/1 by 2/2 and reach a value of 8/2. This completes the conversion of the whole number four into a fraction.

Answer:

4/1

Step-by-step explanation:

u put it over 1. Any whole number over one is considered a fraction, but its still the same number.

Answer:

4

Step-by-step explanation:

(3-4)+5

-1+5

4

9514 1404 393

Answer:

Step-by-step explanation:

You need to know that an even function is symmetrical about the y-axis. The graph to the right of the y-axis is the mirror image of the graph to the left. With that in mind, the questions are easily answered.

It might help to draw the function graph, as we did in the attached. Then it is more straightforward to see what is happening in each of the intervals.

The function is increasing in the interval 0 < x < 2.

The function value at x=2 is 4: f(2) = 4.

The function is decreasing in the interval 2 < x < 5.

Step-by-step explanation:

what is the question asking

Answer:

7/22

Step-by-step explanation:

From the question given above, the following data were:

Drama n(D) = 25

Sport n(S) = 140

Both drama and sport n(DnS) = 60

Not in drama or sport n(DnS)ᶜ = 105

Total or sample space n(S) = 330

Probability of not in drama or sport P(DnS)ᶜ =?

The probability that the student chosen is not in drama or sport can be obtained as follow:

P(DnS)ᶜ = n(DnS)ᶜ / nS

P(DnS)ᶜ = 105 / 330

Express the above to its lowest terms

P(DnS)ᶜ = 7/22

Therefore, the probability that the student chosen is not in drama or sport is 7/22

Answer:

122°

Step-by-step explanation:

<ADC is an inscribed angle and its measure is equal to half of the arc it sees (minor arc AC)

if ADC is 61° then minor arc AC is 2 × 61 = 122

ABC is the center angle and so its measure is equal to the arc it sees which is 122°

Answer:

tails with any number is 1/2, heads with greater than 1 is .4125

Step-by-step explanation:

Answer:

I think is 12..........

Answer:

It‘s either 12 or 12.5

Step-by-step explanation:

Answer:

the cost of 75 CD Roms is £12

Step-by-step explanation:

The computation of the 75 CD roms cost is shown below:

Since it is mentioned that

for 20 blank CD roms it cost £3.20

So for 75 CD Roms, the cost would be

= £3.20 × 75 ÷ 20

= £12

Hence, the cost of 75 CD Roms is £12

Answer:

20%

Step-by-step explanation:

Answer:

8x + 33

Solution:

13 + 4 (2x+5)

4 • 2x = 8x

4 • 5 = 20

20 + 15 = 33

8x + 33 Is your answer

Answer:

Check pdf

Step-by-step explanation:

Answer:

The Pythagorean theorem only works for right triangles. This is not a right triangle.

x = 23

All interior angles of a triangle = 180 degrees.

 A  +      B      +     C    + 180

(3x) + (2x+12) + (2x+7) = 180

7x + 19 = 180

7x = 161

x = 23

A = 3(23) = 69 degrees

B = 2(23) + 12 =58 degrees

C = 2(23) + 7 = 53 degrees

Answer:

x=23

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Answer:

D

Step-by-step explanation:

Its D because A is all 90 degrees

Not C because all 90

Answer:

she would probably drive 520 miles in she is driving 65 mph for a whole 8 hours

Step-by-step explanation:

Answer:

520

Step-by-step explanation:

This is a very simple explanation.

Mrs. Garcia drives eight hours...at 65mphs throughout the trip.

How many miles has she drove?

All you need to do is multiply 8x65 and you will get 520.

Mrs. Garcia drove a total of 520 miles.

Answer:

B would be your answer I think Don't hold me to it!

Step-by-step explanation:

Answer:B -4-2 0 2 4

Step-by-step explanation:

Answer and Step-by-step explanation:

Twelve times four squared.

This is how you would write the expression in word format.

#teamtrees #PAW (Plant And Water)

Answer:

Twelve times four squared.

Step-by-step explanation: