All categories

3 years ago

Which of the following choices best justifies the conclusion based on the given information?

2 answers:

8 0

To abide by the mathematical order of operations in this equation you must distribute "a" into "b" and "c" by multiplying, which is the distributive property. So the answer would be C. Distributive

stellarik [79]3 years ago

8 0

The best and most correct answer among the choices provided by your question is the third choice or letter C. The answer is distributive property.

The Distributive Property is easy to remember, if you recall that "multiplication distributes over addition". Formally, they write this property as "a(b + c) = ab + ac". In numbers, this means, that 2(3 + 4) = 2×3 + 2×4.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

You might be interested in

the length of one side of a square field is represented by the expression 3 - 7 x what is an expression for the perimeter of the

iragen [17]

4(3-7x). Since there are 4 sides in a square, you multiply one length by 4 to get the perimeter. 4(3-7x) simplifys to 12-28x.

3 0

3 years ago

NEED HELP ASAP WILL MARK BRAINLET FOR GOOD AND CORRECT ANSWER!!!!

hjlf

Hey! The surface area is 294. Have a great day. :-)

3 0

3 years ago

The following table shows the number of hours some high school students in two towns spend riding the bus each week:

katen-ka-za [31]

Hey there again,

The first step is to put the data in order, as shown in the diagram below

Five summaries of Town A

Lowest Value = 10

Lower Quartile, = 16.5 (The value falls between 16 and 17)

Median, = 25

Upper Quartile, = 40 (The middle value between 38 and 42)

Highest value = 42

Five summaries of Town B

Lowest value = 0

Lower Quartile, = 4 (The middle value between 0 and 8)

Median, = 9

Upper Quartile, = 20 (The middle value between 19 and 21)

Highest Value = 30

Hoped I Helped

8 0

3 years ago

A quality control expert at LIFE batteries wants to test their new batteries. The design engineer claims they have a variance of

iris [78.8K]

Answer:

The probability that the mean battery life would be greater than 533.2 minutes (in a sample of 75 batteries) is $\\ P(z>0.48) = P(x>533.2) = 0.3156$

Step-by-step explanation:

The main thing we have to take into account in this question is that we are about to find the probability of a sample mean. The distribution for sample means follows a normal distribution with mean $\\ \mu$ and standard deviation $\\ \frac{\sigma}{\sqrt{n}}$ . Mathematically

$\\ \overline{x} \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

For values of the sample $\\ n \ge 30$ , no matter the distribution the data come from.

And the variable z follows a standard normal distribution, and, as we can remember, this distribution has a mean = 0 and a standard deviation = 1. Mathematically

$\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$ [1]

That is

$\\ z \sim N(0, 1)$

We have a variance of 3364. That is, a standard deviation of

$\\ \sigma^2 = 3364; \sigma = \sqrt{3364} = 58$

The population mean is

$\\ \mu = 530$

The sample size is $\\ n = 75$

The sample mean is $\\ \overline{x} = 533.2$

With all this information, we can solve the question

The probability that the mean battery life would be greater than 533.2 minutes

Using equation [1]

$\\ z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$\\ z = \frac{533.2 - 530}{\frac{58}{\sqrt{75}}}$

$\\ z = \frac{3.2}{\frac{58}{8.66025}}$

$\\ z = \frac{3.2}{6.69726}$

$\\ z = 0.47780$

With this value of z we can consult a cumulative standard normal table (or use some statistic program) to find the cumulative probability for z (and remember that this variable follows a standard normal distribution).

Most standard normal tables have values for z for only two decimals, so we can round the previous value for z as z = 0.48.

Then

$\\ P(z$

However, in the question we are asked for $\\ P(z>0.48) = P(x>533.2)$ . As well as all normal distributions, the standard normal distribution is symmetrical around the mean, and we have

$\\ P(z>0.48) = 1 - P(z$

Thus

$\\ P(z>0.48) = 1 - 0.68439$

$\\ P(z>0.48) = 0.31561$

Rounding to four decimal places, we have

$\\ P(z>0.48) = 0.3156$

So, the probability that the mean battery life would be greater than 533.2 minutes is (in a sample of 75 batteries) $\\ P(z>0.48) = P(x>533.2) = 0.3156$ .

5 0

4 years ago

The time is 1:25 A.M. What time will it be in 6 hours and 55 minutes?

uranmaximum [27]

Answer:

8:20 am

Step-by-step explanation:

8 0

3 years ago