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3 years ago

Why is x = 4 a solution to the proportion StartFraction 14 over x EndFraction = StartFraction 56 over 16 EndFraction?

Mathematics

2 answers:

mars1129 [50]3 years ago

6 0

Answer:

see explanation

Step-by-step explanation:

Given

$\frac{14}{x}$ = $\frac{56}{16}$ ( cross- multiply )

56x = 14 × 16 = 224 ( divide both sides by 56 )

x = 4

MA_775_DIABLO [31]3 years ago

4 0

Answer:

because if you substitute 4 into the equation for x and cross multiply, you get 224=224

Step-by-step explanation:

I took the test and it was correct! Be sure to rate me and click the Thank You button please to let me know if i was right :)

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Multiple choice: How many times larger is 6 x 10^5 than 6 x 10^1

Anvisha [2.4K]

Answer:

6×10^5=600000

6×10^1=60

600000/60=10000

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2 years ago

2/3 divided by 5?If she walks 2/3 by another 5.

Nadya [2.5K]

Answer:

The answer is 0.133

Step-by-step explanation:

All you have to do is take 2/3 as if it was a whole number and divide it by 5, or if you are able to use a calculator, you can just but it in as 2 divided by 3 and then divide 5 by whatever answer you get.

7 0

4 years ago

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Suppose that time spent on hold per call with customer service at a large telecom company is normally distributed with a mean µ

lana66690 [7]

Answer:

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8 minutes

Standard Deviation, σ = 2.5 minutes

Sample size, n = 25

We are given that the distribution of time spent is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

Standard error due to sampling =

$=\dfrac{\sigma}{\sqrt{n}} = \dfrac{2.5}{\sqrt{25}} = 0.5$

P(sample mean is between 7.8 and 8.2 minutes)

$P(7.8 \leq x \leq 8.2)\\\\ = P(\displaystyle\frac{7.8 - 8}{0.5} \leq z \leq \displaystyle\frac{8.2-8}{0.5})\\\\ = P(-0.4 \leq z \leq 0.4})\\\\= P(z < 0.4) - P(z < -0.4)\\\\= 0.6554 -0.3446= 0.3108$

0.3108 is the probability that the sample mean is between 7.8 and 8.2 minutes.

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4 years ago

If g(a) = (a + 4)2 and h(b) = 2b - 7,<br> what is h(g(2))?

masha68 [24]

First find g(2).

g(2) = (2+4)2 = 12

Because g(2) is 12, h(g(2)) = h(12).

h(12) = 2(12)-7 = 17

answer: 17

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3 years ago

What are the x-intercepts of the graph of the quadratic function f(x) = 3(x − 1)(x + 3)?

creativ13 [48]

Answer:

-3, 1

Step-by-step explanation:

f(x) = 3(x − 1)(x + 3)

To find the x intercepts, set the equation equal to zero

0 = 3(x − 1)(x + 3)

Using the zero product property

x-1 = 0 x+3 =0

x=1 x=-3

6 0

3 years ago

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