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Nataly [62]
3 years ago
15

What is the interval notation for the graph shown below?

Mathematics
1 answer:
Scrat [10]3 years ago
7 0
<h3>Answer: Bottom left corner (southwest corner)</h3>

(4, \infty)

The left endpoint is x = 4, but we don't include this endpoint because of the open hole. We use a parenthesis to indicate "don't include the endpoint"

The right endpoint is positive infinity. We always use a parenthesis with either infinity since we cannot reach infinity

The interval from 4 to infinity is written as (4, \infty) which is like saying 4 < x < \infty

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How many vertices does a pentagonal prism have?​
Gala2k [10]

Answer: I think it has 10 vertices

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
A city council consists of seven Democrats and five Republicans. If a committee of four people is selected, find the probability
Hoochie [10]

Answer:

The probability  of selecting two Democrats and two Republicans is 0.4242.

Step-by-step explanation:

The information provided is as follows:

  • A city council consists of seven Democrats and five Republicans.
  • A committee of four people is selected.

In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.

The formula to compute the combinations of k items from n is given by the formula:

{n\choose k}=\frac{n!}{k!\times (n-k)!}

Compute the number of ways to select four people as follows:

{12\choose 4}=\frac{12!}{4!\times (12-4)!}=495

Compute the number of ways to selected two Democrats as follows:

{7\choose 2}=\frac{7!}{2!\times (7-2)!}=21

Compute the number of ways to selected two Republicans as follows:

{5\choose 2}=\frac{5!}{2!\times (5-2)!}=10

Then the probability  of selecting two Democrats and two Republicans as follows:

P(\text{2 Democrats and 2 Republicans})=\frac{21\times 10}{495}=0.4242

Thus, the probability  of selecting two Democrats and two Republicans is 0.4242.

6 0
2 years ago
Find the volume of a pyramid with a square base, where the perimeter of the base is 13.4 in and the height of the pyramid is 7.6
VashaNatasha [74]

Answer:

28.4in³

Step-by-step explanation:

Volume of the square based pyramid = L²H/3 where;

L is the length of a side of the square base

H is the height of the prism

Given

Perimeter of the base = 13.4 in

Height of the pyramid = 7.6in

First we need to get the length of the square base

Perimeter of a square = 4L

13.4 = 4L

L = 13.4/4

L = 3.35 in

Next is to find the required volume of the pyramid

V = L²H/3

V =  3.35²(7.6)/3

V = 85.291/3

V =  28.4 in³

Hence the volume of the pyramid to nearest tenth is 28.4in³

7 0
3 years ago
Brian invests £1900 into his bank account.
Nat2105 [25]

Answer:

£2585.64

Step-by-step explanation:

FV=PV(1+i)^t

Which means we have

1900(1+.045)^7

1900(1.045)^7

2585.64

8 0
3 years ago
Evaluate the following expression using the values given:
Rom4ik [11]
The answer to this question is 35
4 0
3 years ago
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