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2 years ago

In a box of 150 paper clips, 81 are red. Which equation represents the

Mathematics

2 answers:

Vilka [71]2 years ago

8 0

Answer:

Step-by-step explanation:

X=150×81/100

X=12,150/100

X=121.5.

Colt1911 [192]2 years ago

4 0

The ratio is 81:150 or in simplistic terms 27:50. This means that for every 50 marbles, 27 of them is red.

To find percentage, place the amount of red marbles over the amount of marbles and multiply by 100.

81/150 x 100 = 54%

Or

27/50 x 100 = 54%

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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:

D = a person has the disease

X = 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

164 is 55% of what number? Please somebody help me

monitta

This is how you solve it; but first of all convert the percent into a decimal;55%= 0.55

0.55x = 164 (divide by 0.55 on both sides)
x = 164/0.55
x = 298.18 (rounded to the nearest hundredth)
so 164 is 55% of 298.18(rounded)

8 0

3 years ago

Determine whether the triangles are congruent by sss sas asa aas or hl

Blababa [14]

AAS.
The vertical angle.
The marked angle.
And the marked side.

7 0

3 years ago

Rachael is a nurse. She earns 12 vacation days after working 768 hours. How many hours does Rachael need to work to earn 1 vacat

forsale [732]

She needs to work 64 hours to earn 1 vacation day.

You get his by dividing 768 by 12.

If correct brainliest please.

Thank you.

6 0

3 years ago