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3 years ago

Can someone Help Me With The Answers?

Mathematics

1 answer:

gayaneshka [121]3 years ago

6 0

Answer:

5 1/3 x 2 3/4= 3/4 5 x 2 = 10

Step-by-step explanation:

Multiply fractions 1/3 x 3/4= 3/4

You might be interested in

Find the ratio of 700m to 2 km

Anika [276]

Answer:

7 : 20

Step-by-step explanation:

2km = 2000m

Then the ratio of 700m to 2 km is :

700 / 2000

Then the ratio in simplest form is :

7 / 20

7 0

2 years ago

Read 2 more answers

What value of θ makes sinθ = cos60° a true statement?

Artist 52 [7]

Answer:

30 is the correct answer

Step-by-step explanation:

30 is the correct answer

If you need more hep just tell me.

Hope this helps.

7 0

3 years ago

Read 2 more answers

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

3 years ago

Please helllllpppppppp

professor190 [17]

Area of a trapezoid
1/2(a+b)(h) where a and b are the parallel sides and h is the height.

a = 12.9, b = 8.6, h = 6.4

A = 1/2(12.9 + 8.6)(6.4) = 68.8 cm²

4 0

3 years ago

Sami’s mom went to the mall last Monday and decided that she wants to purchase a new computer soon. She read online that the pri

frozen [14]

Answer:

The y-intercept represents the price of the computer last Monday.

Step-by-step explanation:

The y-intercept is the point on a graph where x equals zero. Also, the y-intercept is the output value in an equation when x equals zero.

In this situation, x represents the number of days since last Monday. So, when x equals zero, no time has passed.

Therefore, the y-intercept represents the price of the computer last Monday.

7 0

3 years ago