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3 years ago

If y varies directly as x and y=12 when x=72, find x when y=9

Mathematics

2 answers:

mafiozo [28]3 years ago

8 0

You can do 12/72 = 9/x. You cross multiply and it becomes 12x = 648. Divide 648 by 12, and x equals 54.

lapo4ka [179]3 years ago

5 0

9 x 72 = 648

648 ÷ 12 = 54

x = 54

Hope this helps :)

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A sample of 25 undergraduates reported the following dollar amounts of entertainment expenses last year:

Kaylis [27]

Answer:

mean = 724.2

Median = 715

Mode = 768

Range = 85

Standard deviation = 29.30

Interval = [665.6, 782.8]

Step-by-step explanation:

Number of samples n = 25

Summation X= 769 + 691 + 699 +730+711+ 765+ 702 718 +719 +712+ 768 +688 +757+695 768 +735 +709 +758 +708+ 693 +736 700+ 687 +772 +715 = 18105

1. Mean = 18105/25

= 724.2

2. Median is the middle value when arranged from the least value to the highest = 715

3. Mode is the number with the highest frequency = 768 (occured two times)

1. Range = highest value - lowest value

Highest value = 772

Lowest value = 687

772-687 = 85

2. Standard deviation = √(X-barX)²/n-1

= √20604/25-1

=√858.5

= 29.30

Please check attachment for the full calculation of the standard deviation

Interval

[Mean - 2(sd), mean + 2(sd)]

= [724.2-2x29.3, 724.2+2x29.3]

=[665.6, 782.8]

4 0

2 years ago

Which of these inequalities has no solutions?

Mila [183]

Answer:

b. √x<-14

Step-by-step explanation:

square roots are never negative

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3 years ago

Given f(x) and g(x) = f(x) + k, look at the graph below and determine the value of k.

Anton [14]

Answer:

Given the graph $f(x) = \frac{1}{3}x -2$ and $g(x) = \frac{1}{3}x + 3$

We have to find the value of k;

Since, g(x) = f(x) +k

$\frac{1}{3}x+3 = \frac{1}{3}x-2 +k$

Subtract $\frac{1}{3}x$ from both sides we get;

$3 = -2 +k$

Add 2 to both sides we get;

$3+2 = -2 +k +2$

Simplify:

$5 = k$

k = 5

Therefore, the value of k = 5

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3 years ago

Read 2 more answers

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Charra [1.4K]

Ur answer would be B.. Hope it helps let me know if its right or not!

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3 years ago

Solve for x. round to the nearest tenth. If necessary

Step2247 [10]

1.9

Do sin54 * 2.3
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2 years ago