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antoniya [11.8K]
3 years ago
5

The University of Metropolis requires its students to pass an examination in college-level mathematics before they can graduate.

The students are given three chances to pass the exam; 61% pass it on their first attempt, 63% of those that take it a second time pass it then, and 48% of those that take it a third time pass it then. (Assume that all students who do not pass the first or second time elect to take the test again.) What percent of the students take the test three times? (Round your answer to one decimal place.)
Mathematics
1 answer:
Alborosie3 years ago
6 0

Answer:

  14.4%

Step-by-step explanation:

Of the 39% who fail the first exam, 37% fail a second time. Those are the ones who take it 3 times:

  0.39 × 0.37 = 0.1443 ≈ 14.4%

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Lesechka [4]

We have the base measurement for the triangles composing the sides. We need their altitude.  

Imagine a right triangle with these sides:  

(1) from the apex of the pyramid to the point on the base directly underneath it (471 ft);  

(2) from the middle of base edge to the point underneath the apex (half of 708 ft = 354 ft);  

(3) the hypotenuse, the altitude of a triangular side.  

Using the Pythagorean Theorem, we find the hypotenuse to be  

√(471^2 + 354^2) = about 589.2 feet  

Now we add up the four triangles' areas. Each is base * altitude / 2, so:  

4 x 708 x 589.2 / 2  

= 2 x 708 x 589.2  

= 834,307.2 square feet, the lateral area.

7 0
3 years ago
Find the constant of proportionality r in the equation y = rx
Zepler [3.9K]

The constant of proportionality is 1/5

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3 years ago
Read 2 more answers
GeorgeIs holding a card with the number 66 written on it this card is the LCM of six and another number the other number is betw
satela [25.4K]

Answer:

The other number is 22.

Step-by-step explanation:

66 is the lowest common multiple of 6 and a number between 15 and 25.

The numbers between 15 and 25 include 16, 17, 18, 19, 20, 21, 22, 23 and 24.

Of all these numbers between 15 and 25, only 22 can divide 66 without a remainder.

And conveniently, the lowest common multiple of 6 and 22 is 66.

Hence, the other number is evidently 22.

Hope this Helps!!!

4 0
3 years ago
You are certain to get 3 jacks when selecting 51 cards from a shuffled deck. Express the indicated degree of likelihood as a pro
Colt1911 [192]

Answer:

0.001145

Step-by-step explanation:

Given that you are certain to get 3 jacks when selecting 51 cards from a shuffled deck.

When we draw 3 cards from 51 cards, we keep one card aside

The card can be either Jack or non Jack

Prob (the left over card to be Jack) = P(A) = \frac{4}{52}

Prob (the left over card to be non jack ) = P(B) = \frac{48}{52}

A and B are mutually exclusive and exhaustive

Let drawing 3 Jacks be the event C

P(C) = P(AC)+P(BC)

P(AC) = P(A)*P(C/A)\\= \frac{4}{52} (3/51C3)\\=1.108(10^{-5}

P(BC) = P(B)*P(C/B)\\

= \frac{28}{52} (4/51C3)\\

=1.034(10^{-4}

Adding we get

P(C)

= (1.108+10.343)(10^{-5} \\=0.001145

3 0
3 years ago
Subtract.<br> (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)<br><br> Simplify answer. Do not factor
pentagon [3]

[- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).

<h3>What are linear equations?</h3>
  • A linear equation in one variable is a mathematical expression for an equation with only one variable.
  • While any two real integers can represent A and B, the ambiguous variable x has just one possible value.
  • The formula is Ax + B = 0.
  • 9x + 78 = 18 is an example of a linear equation with just one variable.

So, we have:

  • (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)

Now, calculate as follows:

  • = (3r²s+ 4rs+2-16r²s²) - (7sr²+10-13r²s²)
  • = 3r²s+ 4rs+2-16r²s² - 7sr²- 10 + 13r²s²
  • = 13r²s² - 16r²s²  - 7sr² +  3r²s + 4rs - 10 + 2
  • = - 3r²s² - 4sr² + 4rs - 8

Therefore, [- 3r²s² - 4sr² + 4rs - 8] is the resultant answer when we subtract the linear equation (7sr²+10-13r²s²) from (3r²s+ 4rs+2-16r²s²).

Learn more about linear equations:

brainly.com/question/11897796

#SPJ13

7 0
1 year ago
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