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3 years ago

PLEASE HELP ASAP!

Mathematics

2 answers:

puteri [66]3 years ago

5 0

The answer is B

To figure this out, all you have to do is put 2/3 into a ratio with 6 so it looks like 2/3:6 now get rid of the fraction by multiplying both sides by 3/2 to make the left side 1 and the right side 4.

denis-greek [22]3 years ago

5 0

The answr is A because 6 divided by 2/3 is 9, and △ABC is smaller than △ DEF. Sorry if i'm wrong.

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Cameroon corp. manufactures and sells electric staplers for $15.90 each. if 10,000 units were sold in december, and management f

Serga [27]

Sales in December = 10,000*15.90 = $159,000

For 5% forecast growth each month;

Sales in January = (1+0.05)*Sales in December = 1.05*159,000 = $166,950
Sales in February = (1+0.05)*Sales in January = 1.05*166,950 = $175,297.50

The company should budget for $175,297.50 sales in February.

5 0

4 years ago

The breaking strength of a rivet has a mean value of 10,000 psi and a standard deviation of 500 psi. (a) What is the probability

velikii [3]

Answer:

a) 89.05% probability that the sample mean breaking strength for a random sample of 40 rivets is between 9900 and 10,200

b) No, because one of the requirements of the central limit theorem is a sample size of at least 30.

Step-by-step explanation:

To solve this question, we have to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\mu = 10000, \sigma = 500$

(a) What is the probability that the sample mean breaking strength for a random sample of 40 rivets is between 9900 and 10,200?

Here we have $n = 40, s = \frac{500}{\sqrt{40}} = 79.06$

This probability is the pvalue of Z when X = 10200 subtracted by the pvalue of Z when X = 9900. So

X = 10200

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{10200 - 10000}{79.06}$

$Z = 2.53$

$Z = 2.53$ has a pvalue of 0.9943.

X = 9900

$Z = \frac{X - \mu}{s}$

$Z = \frac{9900 - 10000}{79.06}$

$Z = -1.26$

$Z = -1.26$ has a pvalue of 0.1038.

0.9943 - 0.1038 = 0.8905

89.05% probability that the sample mean breaking strength for a random sample of 40 rivets is between 9900 and 10,200

(b) If the sample size had been 15 rather than 40, could the probability requested in part (a) be calculated from the given information?

No, because one of the requirements of the central limit theorem is a sample size of at least 30.

3 0

3 years ago

What is the factored term form of 2x^3+4x^2-x

Westkost [7]

Answer: $x(2x^2+4x-1)$

Step-by-step explanation:

2x³+4x²-x, first find the Greatest Common Factor (GCF), which is x. To find the GCF, look at what all the numbers have in common, and then see if it has the greatest value. Next factor out the GCF.

$x(\frac{2x^3}{x} + \frac{4x^2}{x}-\frac{x}{x} )$ Simplify each term in the parentheses.

$x(2x^2+4x-1)$

Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)

- Cutiepatutie ☺❀❤

8 0

4 years ago

Jasmine's cell phone company charges her 35$ an month for phone service plus 0.50 for each text messages does jasmine send in a

qaws [65]

Y= 0.50x +35
y= 0.50(34) +35
y= 17 +35
y= 52

6 0

3 years ago

Find the y-intercept.

Svetllana [295]

Answer:

(0, 7/12)

Step-by-step explanation:

to find the y intercept we equate x to 0.

hence,

f(0) = 7/12

the coordinate is (0, 7/12)

7 0

2 years ago

Read 2 more answers