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3 years ago

Which property is demonstrated by the following statement? 15+w+(-12)=15-12+w

1 answer:

3 0

Commutative Property

The sum of two or more real numbers is always the same regardless of the order in which they are added. In other words, real numbers can be added in any order because the sum remains the same.

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The volume of a cylinder is 4πx3 cubic units and its height is x units. Which expression represents the radius of the cylinder,

igor_vitrenko [27]

Answer:

The answer is A.

4 0

2 years ago

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)A mule deer can run one over four of a mile in 25 seconds. At this rate, which expression can be used to determine how fast a m

makvit [3.9K]

Well, if you take x to be 25 seconds, there are 2.4x in 1min. So, that multiplied by 60, would be 144x. Therefore, 1/4 multiplied by 144x should be the answer.

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4 years ago

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Suppose a large shipment of microwave ovens contained 12% defectives. If a sample of size 474 is selected, what is the probabili

melisa1 [442]

Answer:

$P(\hat p>0.14)$

And using the z score given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

$P(Z>1.340) = 1-P(Z$

Step-by-step explanation:

For this case we have the proportion of interest given $p =0.12$ . And we have a sample size selected n = 474

The distribution of $\hat p$ is given by:

$\hat p \sim N (p , \sqrt{\frac{p(1-p)}{n}})$

We want to find this probability:

$P(\hat p>0.14)$

And using the z score given by:

$z = \frac{\hat p -\mu_p}{\sigma_p}$

Where:

$\mu_{\hat p} = 0.12$

$\sigma_{\hat p}= \sqrt{\frac{0.12*(1-0.12)}{474}}= 0.0149$

If we find the z score for $\hat p =0.14$ we got:

$z = \frac{0.14-0.12}{0.0149}= 1.340$

So we want to find this probability:

$P(z>1.340)$

And using the complement rule and the normal standard distribution and excel we got:

$P(Z>1.340) = 1-P(Z$

4 0

4 years ago

The graph shows the system {y=2x+1y=2x2+1 .

vitfil [10]

We have that
the system
y=2x+1
y=2x²+1

using a graph tool
see the attached figure

the
solution are the points
(0,1) and (1,3)

the answer is
 (0, 1) and (1, 3)

4 0

3 years ago

What is the product of 840 and 4.6 times 10^2 expressed in scientific notation?

Fantom [35]

Answer:

386,400

Step-by-step explanation:

FIRST: First , times the 840 and 4.6

840 × 4.6 = 3,864

SECOND: Second , times the answer of the first solvation and ten of the second power , then if you done to compute it. Then it will be the answer.

3,864 × 10^2 = 386,400

7 0

3 years ago