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3 years ago

Factor the polynomial completely. 12x2 + 11x – 15 = 0

1 answer:

4 0

x = -3/4 = -0.750
x = 5/3 = 1.667

The first term is, 12x2 its coefficient is 12 .
The middle term is, -11x its coefficient is -11 .
The last term, "the constant", is -15

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When Alice spends the day with the babysitter, there is a 0.6 probability that she turns on the TV and watches a show. Her littl

slava [35]

Answer:

a) There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) There is a 48% probability that Betty watches TV tomorrow.

c) There is a 12% probability that only Alice watches TV tomorrow.

Step-by-step explanation:

We have these following probabilities:

A 60% probability that Alice watches TV.

If Alice watches TV, an 80% probability Betty watches TV.

If Alice does not watch TV, a 0% probability that Betty watches TV, since she cannot turn the TV on by herself.

a) What is the probability that both Alice and Betty watch TV tomorrow?

Alice watches 60% of the time. Betty watches in 80% of the time Alice watches. So:

$P = 0.6*0.8 = 0.48$

There is a 48% probability that both Alice and Betty watch TV tomorrow.

b) What is the probability that Betty watches TV tomorrow?

Since Betty only watches when Alice watches(80% of the time), this probability is the same as the probability of both of them watching. So

$P = 0.6*0.8 = 0.48$

There is a 48% probability that Betty watches TV tomorrow.

c) What is the probability that only Alice watches TV tomorrow?

There is a 60% probability that Alice watches TV tomorrow. If she watches, there is an 80% probability that Betty watches and a 20% probability she does not watch.

$P = 0.6*0.2 = 0.12$

There is a 12% probability that only Alice watches TV tomorrow.

7 0

3 years ago

This box can be packed with 48 units cubes. The edge length of each unit cube is 1 meter. What is the volume of the box?

Dafna1 [17]

48 m³

Step-by-step explanation:

A cube has equal length width and height

A cube in this case has length 1m meaning the width and height are also 1 m each in length.

The volume of the cube is (L * W * H) = 1 * 1 * 1 = 1 m³

If 48 of these can fit in the bigger box, then the bigger box has the volume of;

48 * 1 m³ = 48 m³

Learn More:

For more on volume of a cube check out;

brainly.com/question/7543014

brainly.com/question/9719931

#LearnWithBraily

8 0

3 years ago

Which of the following inequalities matches the graph?

Alik [6]

A vertical line has an equation of the form x = k, where k is the x-coordinate of all points on the line.
You have a vertical line. It passes through the point (-3, 0), so for this line, k = -3.
The vertical line has equation x = -3.
The line is dashed, not solid, so you have either < or >, but not <= or >=.
Also, notice the shading is to the left of x = -3, so all values of x are less than -3.
The inequality is

x < -3

8 0

3 years ago

What is the area of this circle? a 1,017.36 b 254.34 c 28.26 d 56.52

Licemer1 [7]

Answer:

Step-by-step explanatiobn:

5 0

2 years ago

Read 2 more answers

3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions

Crank

Answer:

Step-by-step explanation:

3h - 8h + 10 = 10 - 5h

-5h + 10 = 10 - 5h

10 = 10

infinitely many solutions

7 0

3 years ago