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2 years ago

What's bigger 60% of 90 or half of 100?

Mathematics

2 answers:

ra1l [238]2 years ago

7 0

60% of 90

= (60/100) x 90

= 6/10 x 90 = 54.

Half of 100 = (1/2) x 100 = 50.

Therefore 60% of 90 is greater.

dusya [7]2 years ago

6 0

(90/100) x 60 = 54
60% of 90 = 54.
(100/100) x 50 = 50
50% of 100 = 50

60% of 90 is bigger than 50% (half) of 100.

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Complete the explanation of why it is possible to draw more than two different rectangles with an area of 100 square units, but

Marysya12 [62]

Answer:

100 has 5 factor pairs, so that many different rectangles can be drawn. 15 only has 2 factor pairs, so only that many different rectangles can be drawn.

Explanation:

there are 5 pairs of whole numbers that multiplied together will be 100:

100 x 1 = 100
50 x 2 = 100
25 x 4 = 100
20 x 5 = 100
10 x 10 = 100

while there are only 2 pairs of whole numbers that multiplied together will be 15:

15 x 1 = 15
3 x 5 = 15

7 0

2 years ago

In answering on a multiple choice test, a student either know the answer or guesses. Let p be the probability that the students

LenaWriter [7]

Answer:

$P(A_{1}|B ) =\frac{mp}{1+p(m-1)}$

Step-by-step explanation:

For mutually exclusive events as A1, A2, A3, etc, Bayes' theorem states:

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

P(A|B) is a conditional probability: the likelihood of event A occurring given that B is true.

P(B|A) is a conditional probability: the likelihood of event B occurring given that A is true.

P(A) is the probability that A occurs

P(B) is the probability that B occurs

For this problem:

A1 is the probability that the student knows the answer

A2 is the probability that the student guesses the answer

B is the probability that the student answer correctly

$P(A_{1})=p \\P(A_{2})=1-p \\P(B|A_{1})=1 \\P(B|A_{2})=\frac{1}{m} \\P(B)= P(A_{1})P(B|A_{1}) + P(A_{2})P(B|A_{2})= p+\frac{1-p}{m} \\$

P(B|A₁) means the probability that the answer is correct when he knew the answer

P(B|A₂) means the probability that the answer is correct when he guessed the answer

P(A₁|B) means the probability that he knew the answer when the answer was correct

Replacing everything in the Bayes' theorem you get:

$P(A_{1}|B)= \frac{P(B|A_{1})P(A_{1})}{P(B)}=\frac{(1)(p)}{p+\frac{1-p}{m}} =\frac{mp}{mp+1-p} =\frac{mp}{1+p(m-1)}$

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2 years ago

Consider the following geometric sequence -5, 10, -20, 40,..... if the recursive formula for the sequence above expressed in the

MAXImum [283]

B is -5 and C is -2. Since -5 is the first number, a(1) is bc^0 and that would make c = 1. B would need to be -5. In the second number, since we know b is -5, c would need to be -2 and anything to the 2-1 is just the same value.

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2 years ago

Second to last question, Find I 50 points

ahrayia [7]

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle I, we know the opposite side and the hypotenuse. Therefore, we should use sine.

sin(I) = $\frac{\sqrt{39}}{\sqrt{51}}$

To solve, you can use your calculator and the inverse sine function (sin^-1).

I = sin^-1( $\frac{\sqrt{39}}{\sqrt{51}}$ )

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Hope this helps!

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2 years ago

Read 2 more answers

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S_A_V [24]

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2 years ago