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3 years ago

When a number is decreased by 20% of itself, the result is 16. what is the number?

Mathematics

1 answer:

kati45 [8]3 years ago

4 0

The answer will be 20. 16=80%. 1=0.2%.100%=20

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How many squares make up the surface of a cube?<br>O A. Seven<br>O B. Five<br>O C. Six<br>D. Eight

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A cube has a side length of 7 cm a cylinder has a radius of 5 cm and a height of 4 cm

densk [106]

Answer:

Cube has larger volume than cylinder.

Step-by-step explanation:

Given:

Side of a cube = 7 cm

Radius of a cylinder (r) = 5 cm

Height of a (h) = 4 cm

Find:

Larger volume = ?

Computation:

Volume of cube = Side³

Volume of cube = 7³

Volume of cube = 343 cm³

$Volume\ of\ cylinder=\pi r^2h\\\\Volume\ of\ cylinder=\frac{22}{7} (5)^2(4)\\\\Volume\ of\ cylinder= 314.28$

Cube has larger volume than cylinder.

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3 years ago

第 5 个问题 a multiple choice exam has 10 questions. each question has 3 possible answers, of which one is correct. a student knows

tatuchka [14]

The chances that the student was merely guessing is 1/3.

Bayes Theorem determines the conditional probability of an event A given that event B has already occurred.

denoted by

$P(A/B)=\frac{P(A)*P(B/A)}{P(B)}$

let A be the event that the student knows the answer .

B be the event that the student does not knows the answer .

and

E be the event he gets answer correct .

According to the given question

$P(A)=\frac{4}{10} \\\\ P(B)=1-\frac{4}{10} =\frac{6}{10}$

Probability that the answer is correct ,given that he knows the answer is

$P(E/A)=1$

Probability that the answer is correct ,given that he guesses it is

$P(E/B)=\frac{1}{3}$ [as the MCQ has 3 options and only one is correct]

We need to find the probability that he guesses the answer given that it is correct.

Required probability $P(B/E)=\frac{P(B)*P(E/B)}{P(A)*P(E/A)+P(B)*P(E/B)}$

Substituting the values we get

$P(B/E)=\frac{\frac{6}{10} *\frac{1}{3} }{\frac{4}{10} *1+\frac{6}{10} *\frac{1}{3} }$

$=\frac{6}{30}*\frac{30}{18} \\ \\ =\frac{6}{18} \\ \\ =\frac{1}{3}$

Therefore , the chances that the student was merely guessing is 1/3.

Learn more about Probability here brainly.com/question/13140147

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