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3 years ago

Write it as an equation show all work

Mathematics

1 answer:

AfilCa [17]3 years ago

8 0

Answer:52 in each buss

Step-by-step explanation: 472 - 4 (the students in the car)= 468

468 divide by 9(how many busses)

= 52 (students in each buss)

9x + 4=472

9x=468

X= 52

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A triangle has one leg measuring 10 inches and the hypotenuse measuring 20 inches. the other leg measures 10\sqrt[]{3} 10 3 inch

stiv31 [10]

From the description given for the triangle above, I think the type of triangle that is represented would be a right triangle. This type of triangle contains a right angle and two acute angles. In order to say or prove that it is a right triangle, it should be able to satisfy the Pythagorean Theorem which relates the sides of the triangle. It is expressed as follows:

c^2 = a^2 + b^2

where c is the hypotenuse or the longest side and a, b are the two shorter sides.

To prove that the triangle is indeed a right triangle, we use the equation above.

c^2 = a^2 + b^2
c^2 = 20^2 = 10^2 + (10sqrt(3))^2
400 = 100 + (100(3))
400 = 400

5 0

4 years ago

Apolicy requiring all hospital employees to take lie detector tests may reduce losses due to theft, but some employees regard su

galina1969 [7]

suppose that any pair of tests are independent. What is the probability that a machine will conclude that

a each of three employees is lying when all are telling the truth?

b at least one of the three employees is lying when all are telling the truth?

Answer:

a. The probability that each of three employees is lying when all are telling the truth is 0.000125

b. The probability that at least one of the three employees is lying when all are telling the truth is 0.1426

Step-by-step explanation:

Let the event be;

A= the lie detector concludes that a person is lying who, in fact, is telling the truth

B= the lie detector concludes that a person is lying who, in fact, is telling lie

Given their probabilities as:

P(A)= 0.05 and P(B)= (1 - 0.05)= 0.95

a. What is the probability that a machine will conclude that each of three employees is lying when all are telling the truth?

A binomial problem with n= 3 and P= 0.05

P(all are telling truth) = P^n= 0.05^3 = 0.000125

b. What is the probability that at least one of the three employees is lying when all are telling the truth?

P(at least one is telling) = P(one is telling lie) + P(two are telling lie) + P(three are telling lie)

P(at least one is telling) = 1 - P(B) = 1 - (0.95)^3 = 0.1426

4 0

4 years ago

У - 6x = ||<br> -77<br> - 2x-3y=-7

Maksim231197 [3]

Answer:

Step-by-step explanation:

1....y=11+6x

-77-2x+3y=-7

replace y by ..1..

so -77-2x+3(11+6x)=-7

-77-2x+33+18x=-7

-44+16x=-7

16x=37

y=11+6x

replace x by 37/16

y=11+6*37/16

y=199/8

6 0

3 years ago

9 - 10 = 6(r + 1)<br> Write a formula for h(r) in terms of r.<br> e<br> h(r) =

VashaNatasha [74]

Answer:

I have no idea

I wish I new it sorry

5 0

3 years ago

The average cost per unit for the production of a certain brand of DVD is given by C=\frac{500+60c+0.01x^2}{x} , where x is the

Ganezh [65]

Answer:

A: for 500: 66; for 60: 68.9; for 100: 66

B: no

Step-by-step explanation:

We assume your average cost function is ...

$\overline{C}=\dfrac{0.01x^2+60x+500}{x}$

A. The overline over the C indicates it is an average value.

Evaluating the cost function at the different production levels, we find the average cost per unit to be ...

<u>500 units</u>

c = ((0.01·500)+60)500 +500)/500 = 65 +1 = 66

<u>60 units</u>

c = ((0.01·60 +60)·60 +500)/60 = 60.6 +500/60 ≈ 68.93

<u>100 units</u>

c = ((0.01·100 +60)·100 +500)/100 = 61 +5 = 66

B. Dividing out the fraction, we find that the cost per unit is ...

0.01x +60 +500/x

As x gets large, this approaches the linear function c = 0.01x +60. This <em>increases</em> as the number of units produced rises. (The minimum average cost is at a production level of about 224 units.)

7 0

4 years ago