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3 years ago

6

What is the number if 5/7 of it is 15

1 answer:

Nady [450]3 years ago

7 0

Answer: 21

Step-by-step explanation:

Let the number be $x$ , then ;

$\frac{5}{7}$ of $x$ = $15$

that is :

$\frac{5x}{7}=15$

$5x = 15(7)$

$5x = 105$

divide through by 5

$x = 21$

Therefore : the number is 21

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How far is `10\%` of a `2,000`-kilometer trip?

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3 years ago

1, 1, 2, 3, 5, 8, 13, 21, ___Justin loves solving number patterns. He completes one pattern every moring while he eats his cerea

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Answer:

The correct option is A

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Explanation:

By inspection, the third number is obtained by adding the two preceding numbers.

1 + 1 = 2

The next number is obtained by adding the two preceding numbers.

2 + 1 = 3

This continues as:

3 + 2 = 5

8 + 5 = 13

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1 year ago

There were 935 offenses in 2000 and 2448 offenses in 2019. What is the percentage increase?

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Answer:

Approximately 262%

Step-by-step explanation:

To find the percentage increase divide the new amount of offenses by the old amount of offenses:

2448/935 = 2.618

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The percentage increase between the amount of offenses in 2000 and the amount of offenses in 2019 is approximately 262%.

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3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

Vlad [161]

Answer

$P(A) = 0.30$

$P(B) = 0.77$

$P(A\ n\ B) = 0.22$

$P(A\ u\ B) = 0.85$

Explanation:

Given

See attachment for proper data presentation

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

$Yes = 22$ and $No = 8$

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

$P(A) = 0.30$

Solving (b): P(B)

We only consider data in the Yes column.

Here:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

$P(B) = 0.77$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ n\ B) = 0.22$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

$P(A\ u\ B) = 0.85$

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Answer:

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Step-by-step explanation:

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