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love history [14]
3 years ago
11

In a candy store, a $20.00 jar of candy is labeled,35% off.What is the discount? What is the sales price?

Mathematics
2 answers:
DochEvi [55]3 years ago
3 0

Answer:

13

Step-by-step explanation:

35% = .35

20 • .35 = 7

20 - 7 = 13

White raven [17]3 years ago
3 0

Answer:

the discount is $7 and the sales price is $13

Step-by-step explanation:

the dicount- $20.00x.35=$7

sales price- $20.00-7=$13.00

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It is estimated that approximately 8.23% Americans are afflicted with diabetes. Suppose that a certain diagnostic evaluation for
allsm [11]

The probabilities in this problem are given as follows:

a) False positive: 0.0321 = 3.21%.

b) Diagnosed as not having diabetes: 0.8872 = 88.72%.

c) Actually has diabetes, if diagnosed as not having: 0.0019 = 0.19%.

<h3>What is Conditional Probability?</h3>

Conditional probability is the probability of one event happening, considering a previous event. The formula is given as follows:

P(B|A) = \frac{P(A \cap B)}{P(A)}

In which the parameters are described as follows:

  • P(B|A) is the probability of event B happening, given that event A happened.
  • P(A \cap B) is the probability of both events A and B happening.
  • P(A) is the probability of event A happening.

For item a, we have that:

  • 100 - 8.23 = 91.77% of the people do not have diabetes.
  • Of those, 3.5% are diagnosed with diabetes.

Hence the probability of a false positive is given as follows:

p = 0.9177 x 0.035 = 0.0321 = 3.21%.

For item b, the percentage of people who is not diagnosed as having diabetes is divided as:

  • 96.5% of 91.77% (do not have diabetes).
  • 2% of 8.23% (have diabetes).

Hence the probability is:

P(A) = 0.965 x 0.9177 + 0.02 x 0.0823 = 0.8872 = 88.72%.

For item c, we find the conditional probability, as follows:

P(A \cap B) = 0.02 \times 0.0823 = 0.001646

Then:

P(B|A) = 0.001646/0.8872 = 0.0019 = 0.19%.

More can be learned about probabilities at brainly.com/question/14398287

#SPJ1

7 0
1 year ago
Simplify the monomial (Please show work)<br><br> (2ab^2)(4a^2b^3) - (10a^3b)(6b^4)
Lelechka [254]
The answer should be −52a^3 b^5

7 0
2 years ago
the cylinder has radius 4√3 and hight h. the total surface area of the cylinder is 56π√6. find the exact value of h giving the a
Arte-miy333 [17]

The area of the cylinder is a function of its height (h) and radius, (\mathbf{4\sqrt 3})

The exact value of h is: \mathbf{7\sqrt 2- 4\sqrt 3}

The given parameters are:

\mathbf{Area =56\pi\sqrt 6}

\mathbf{r=4\sqrt 3}

The surface area of a cylinder is calculated as:

\mathbf{Area = 2\pi rh + 2\pi r^2}

Substitute values for Area

\mathbf{56\pi\sqrt 6= 2\pi rh + 2\pi r^2}

Divide through by pi

\mathbf{56\sqrt 6= 2 rh + 2r^2}

Substitute value for r

\mathbf{56\sqrt 6= 2 (4\sqrt 3)h + 2(4\sqrt 3)^2}

\mathbf{56\sqrt 6= 8h\sqrt 3 + 2\times 48}

\mathbf{56\sqrt 6= 8h\sqrt 3 + 96}

Collect like terms

\mathbf{8h\sqrt 3 = 56\sqrt 6- 96}

Make h the subject

\mathbf{h = \frac{56\sqrt 6}{8\sqrt 3}- \frac{96}{8\sqrt 3}}

\mathbf{h = 7\sqrt 2- \frac{12}{\sqrt 3}}

Rationalize

\mathbf{h = 7\sqrt 2- \frac{12\sqrt 3}{3}}

\mathbf{h = 7\sqrt 2- 4\sqrt 3}

Hence, the exact value of h is: \mathbf{7\sqrt 2- 4\sqrt 3}

Read more about surface areas t:

brainly.com/question/25131428

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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