24 and 25 thanksssssss

When you are factoring a trinomial with a leading coefficient other than 1, which would be the best thing to do first?

Alchen [17]

Answer:

Step-by-step explanation:

c. Look for a common factor in each term.

4 0

3 years ago

Which set of angles could be the interior angles of a triangle?

Minchanka [31]

Answer:

D. 20°, 60°, and 100°

Step-by-step explanation:

basically you're testing which set adds up to 180°:

D should immediately catch the eye since it has a simple 100°, and 60+20 is 80, making D the correct answer

a: 189°

b: 90°

c: 120°

d: 180°

7 0

2 years ago

Robby age 4 potato chips. Jimmy ate p times as many potato chips. Which expression shows how many potato chips jimmy ate?

egoroff_w [7]

Answer:

The answer is 4 x p.

Hope this helps! :)

8 0

2 years ago

Suppose on a certain planet that a rare substance known as Raritanium can be found in some of the rocks. A raritanium-detector i

aleksandrvk [35]

Answer:

0.967 = 96.7% probability the rock sample actually contains raritanium

Step-by-step explanation:

Conditional Probability

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

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

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

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive reading

Event B: Contains raritanium

Probability of a positive reading:

98% of 13%(positive when there is raritanium).

0.5% of 100-13 = 87%(false positive, positive when there is no raritanium). So

$P(A) = 0.98*0.13 + 0.005*0.87 = 0.13175$

Positive when there is raritanium:

98% of 13%

$P(A) = 0.98*0.13 = 0.1274$

What is the probability the rock sample actually contains raritanium?

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.1274}{0.13175} = 0.967$

0.967 = 96.7% probability the rock sample actually contains raritanium

7 0

2 years ago

An in ground rectangular pool has a concrete pathway surrounding the pool. if the pool is 16 feet by 32 feet and the entire area

Anastasy [175]

1. Let's call:

x: the width of the walkway.
b: 2x+16 (there is a widht "x" of the walkway on each side).
h: 2x+32 (there is a widht "x" of the walkway on each side).
A: 924 ft^2 ( the area of the pool of including the walkway).

2. The area of a rectangle is:

A=(b)(h)

b: the base of the rectangle (2x+16)
a: the height of the rectangle (2x+32)

3. Then, we have a quadratic equation:

924=(2x+16)(2x+32)
4x^2+64x+32x+512-924=0
4x^2+96x-412=0

4. We apply the quadratic formula to find the value of "x":

x=(-b±√(b^2-4ac))/2a

x=3.71

The answer is: The width of the walkway is 3.71 ft

7 0

3 years ago