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2 years ago

Tara makes 30 cups of donut topping by mixing sugar and cinnamon. The ratio of sugar to cinnamon is 3:2

Mathematics

1 answer:

AveGali [126]2 years ago

4 0

Answer:

Step-by-step explanation:

3:2 means 3/2 or 3÷2

but its better to leave it as

3/2

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Suppose 10000 people are given a medical test for a disease. About1% of all people have this condition. The test results have a

Alina [70]

Answer:

The percent of the people who tested positive actually have the disease is 38.64%.

Step-by-step explanation:

Denote the events as follows:

X = a person has the disease

P = the test result is positive

N = the test result is negative

Given:

$P(X)=0.01\\P(P|X^{c})=0.15\\P(N|X)=0.10$

Compute the value of P (P|X) as follows:

$P(P|X)=1-P(P|X^{c})=1-0.15=0.85$

Compute the probability of a positive test result as follows:

$P(P)=P(P|X)P(X)+P(P|X^{c})P(X^{c})\\=(0.85\times0.10)+(0.15\times0.90)\\=0.22$

Compute the probability of a person having the disease given that he/she was tested positive as follows:

$P(X|P)=\frac{P(P|X)P(X)}{P(P)}=\frac{0.85\times0.10}{0.22} =0.3864$

The percentage of people having the disease given that he/she was tested positive is, 0.3864 × 100 = 38.64%.

3 0

2 years ago

4 to the fourth negative power multiplied by four to the fifth power

Alex Ar [27]

Simplify the following:4^5/4^4
Combine powers. 4^5/4^4 = 4^(5 - 4):4^(5 - 4)
5 - 4 = 1:Answer: 4

3 0

3 years ago

Give an example of a job that would have a y-intercept of $0 and another with a y-intercept of $20. What do these y-intercepts m

strojnjashka [21]

Answer

I) A job pays $15/hr with no bonus first day pay.

II) A job pays $15/hr with a $20 bonus first day pay.

Step-by-step explanation:

The y-intercepts would represent additional income that is added on to the base wage. It means it is what the worker would already earn (one-time), adding on to their standard pay.

Let X represent hours, and the y-intercept be what is mentioned above.

I) 15x + 0

II) 15x + 20

6 0

2 years ago

Please help! click to see the picture of the question !

Pie

69 square feet is the answer

4 0

3 years ago

Read 2 more answers

There is a balcony that forms part of a circle around a stage, and they need to put up a safety railing. How long of a railing d

alexandr1967 [171]

A sector is a part of a circle that is formed by two radii, and an arc. So that the length of the safety railing required is 31.4 feet.

A sector is a part of a circle that is formed by two radii, and an arc, thus forming a central angle.

Thus the required length of safety railing can be considered as the arc of the sector.

So that;

length of an arc = (θ / $360^{o}$ ) * 2 $\pi$ r

where θ is the measure of the central angle of the sector, and r is the radius of the sector.

From the given question, θ = 45°, and r = 40 feet.

So that,

length of the safety railing = (45° / $360^{o}$ ) * 2 * 3.14 * 40

= 0.125 * 2* 3.14* 40

length of safety railing = 31.4

Therefore, the length of the safety railing required is 31.4 feet.

For more clarifications on the length of an arc, visit: brainly.com/question/2005046

#SPJ1

6 0

1 year ago