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Zinaida [17]
3 years ago
11

the ratio of the number of boys to the number of girls in a choir is 6 to 5. there are 45 girls in the choir. how many boys are

in the choir
Mathematics
1 answer:
GenaCL600 [577]3 years ago
7 0
Boys:girls
6:5
x:45

x = (45/5) x 6
45/5 = 9
9 x 6 = 54
there are 54 boys in the choir
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In a certain manufacturing process, it is known that, on average, 1 in every 100 items is defective.
Rashid [163]

Answer:

A. 0.009899

B. 0.005624

Step-by-step explanation:

Data:

Let the probability that an item is defective = \frac{1}{100}

The probability that the item is not defective = \frac{99}{100}

The probability that the fifth item is defective = \frac{1}{100}* \frac{98}{99}

                                                                            = 0.009899

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5 0
3 years ago
How many solutions does the equation |x + 6| − 4 = c have if c = 5? If c = −10? Complete the explanation
mixer [17]

Answer:

<h2>For c = 5 → two solutions</h2><h2>For c = -10 → no solutions</h2>

Step-by-step explanation:

We know

|a|\geq0

for any real value of <em>a</em>.

|a| = b > 0 -  <em>two solutions: </em>a = b or a = -b

|a| = 0 - <em>one solution: a = 0</em>

|a| = b < 0 - <em>no solution</em>

<em />

|x + 6| - 4 = c

for c = 5:

|x + 6| - 4 = 5           <em>add 4 to both sides</em>

|x + 6| = 9 > 0   <em>TWO SOLUTIONS</em>

for c = -10

|x + 6| - 4 = -10           <em>add 4 to both sides</em>

|x + 6| = -6 < 0   <em>NO SOLUTIONS</em>

<em></em>

Calculate the solutions for c = 5:

|x + 6| = 9 ⇔ x + 6 = 9 or x + 6 = -9         <em>subtract 6 from both sides</em>

x = 3 or x = -15

5 0
3 years ago
The area of cross section of a prism is 45cm² and its height is,10cm. Find its volume​
mrs_skeptik [129]

Answer:

The Volume of triangular prism

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Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given The area of cross section of a prism A = 45cm²

and     height (h) = 10 cm

The Volume of triangular prism

                V = ( Base area X Height )

                    =  45 X 10

                    = 450 cm³

The Volume of triangular prism

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6 0
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6 0
3 years ago
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