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marissa [1.9K]
3 years ago
14

Simplify the expression. 13[6^2/(5^2-4^2)+9]

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
5 0
13[6^2/(5^2-4^2)+9}

13[(36/9)+9]
13(4+9)
13*13
169
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PLEASE ANSWER, WILL GIVE BRAINLIEST!
kumpel [21]
<h3>Answer:  b = 17</h3>

====================================================

Explanation:

The line must go through the point (5,2) which means x = 5 and y = 2 pair up together.

We'll plug these x and y values into the equation and solve for b.

y = -3x+b

2 = -3(5)+b

2 = -15+b

2+15 = b

17 = b

b = 17

The equation y = -3x+b turns into y = -3x+17

8 0
2 years ago
A new test to detect TB has been designed. It is estimated that 88% of people taking this test have the disease. The test detect
Elodia [21]

Answer:

Correct option: (a) 0.1452

Step-by-step explanation:

The new test designed for detecting TB is being analysed.

Denote the events as follows:

<em>D</em> = a person has the disease

<em>X</em> = the test is positive.

The information provided is:

P(D)=0.88\\P(X|D)=0.97\\P(X^{c}|D^{c})=0.99

Compute the probability that a person does not have the disease as follows:

P(D^{c})=1-P(D)=1-0.88=0.12

The probability of a person not having the disease is 0.12.

Compute the probability that a randomly selected person is tested negative but does have the disease as follows:

P(X^{c}\cap D)=P(X^{c}|D)P(D)\\=[1-P(X|D)]\times P(D)\\=[1-0.97]\times 0.88\\=0.03\times 0.88\\=0.0264

Compute the probability that a randomly selected person is tested negative but does not have the disease as follows:

P(X^{c}\cap D^{c})=P(X^{c}|D^{c})P(D^{c})\\=[1-P(X|D)]\times{1- P(D)]\\=0.99\times 0.12\\=0.1188

Compute the probability that a randomly selected person is tested negative  as follows:

P(X^{c})=P(X^{c}\cap D)+P(X^{c}\cap D^{c})

           =0.0264+0.1188\\=0.1452

Thus, the probability of the test indicating that the person does not have the disease is 0.1452.

4 0
3 years ago
The machine that Holley operates tightens 40 bolts every 3 minutes. The bolts are delivered to her machine station in boxes cont
Murrr4er [49]

Answer:

75

Step-by-step explanation:

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3 years ago
What is the volume of this square-based pyramid with a base length of 6 feet and a height of 10 feet?
bulgar [2K]

Answer:

60 or 90

Step-by-step explanation:

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3 years ago
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a gym teacher has a large canvas bag that contains 8 tennis balls, 2 volleyballs, 1 basketball, 3 baseballs, and 5 footballs. if
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Answer:

Step-by-step explanation:

5+1+3+8+2=19

3/19 = 16%

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