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2 years ago

ou need 1 1/4 cups of sugar to make 20 cookies. How many cups of sugar will you need to make 16 cookies? cups of sugar

Mathematics

1 answer:

frutty [35]2 years ago

7 0

Answer:

To make 16 cookies you will need 1 cup of sugar.

Step-by-step explanation:

Given:

Sugar needed to make 20 cookies = 1 1/4 cups

To Find:

Sugar needed to make 16 cookies = ?

Solution:

For making 20 cookies 1 1/4 cups of sugar is used

So to make 1 cookie we need

=> $\frac{1\frac{1}{4}}{20}$

=> $\frac{\frac{5}{4}}{20}$

=> $\frac{5}{4} \times \frac{1}{20}$

=> $\frac{5}{80}$

=> $\frac{1}{16}$ cups of sugar

Now to make 16 cookies we need,

=> $16 \times \text{sugar needed to make one cookie}$

=> $16 \times\frac{1}{16}$

=> $\frac{16}{16}$

=> 1

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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

2 years ago

Mr.little earned $320 for working 2 eight hours shifts at the lumber yard .what is his hourly wage?

7nadin3 [17]

Answer:

Step-by-step explanation:

320$ divided by 16 (two 8 hr shifts) = 20 dollars an hour

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2 years ago

1. If the length of a rectangle is 6 more than its width, and its perimeter is 48

Salsk061 [2.6K]

For this case we have that by definition, the perimeter of the rectangle is given by:

$P = 2w + 2L$

Where:

W: Is the width of the rectangle

L: is the length of the rectangle

According to the data we have:

$L = 6 + w\\P = 48$

Substituting:

$48 = 2w + 2 (6 + w)\\48 = 2w + 12 + 2w\\48 = 4w + 12\\48-12 = 4w\\36 = 4w\\w = \frac {36} {4}\\w = 9$

So, the width of the rectangle is 9 inches

$L = 6 + 9 = 15$

So, the length of the rectangle is 15 inches

Answer:

the width of the rectangle is 9 inches

the length of the rectangle is 15 inches

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2 years ago

Find the area of a circle whose circumference is 31.4 centimeters. (Pi form) {FREE BRAINLIEST]

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Answer:

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Use area formula

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3 years ago

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3h - j when h = 8 and j = 11 plzzz help

AURORKA [14]

Answer:

Step-by-step explanation:

3h - j

3(8) - 11

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2 years ago