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Galina-37 [17]
2 years ago
15

Distinguish the second expression from the first expression

Mathematics
1 answer:
iogann1982 [59]2 years ago
8 0

Answer:

8a+10b

Step-by-step explanation:

it is due to the addtion between 2 numbers

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-7 times -8? -40 divided by 10?
alekssr [168]
-7 times -8 is 56 and -40 divided by 10 is -4
4 0
3 years ago
Solve for the letter d
Deffense [45]

Answer:

34 I am pretty sure

Step-by-step explanation:

34+55 well is 89 so yeah d=34

4 0
3 years ago
Read 2 more answers
Suppose a batch of metal shafts produced in a manufacturing company have a population standard deviation of 1.3 and a mean diame
lbvjy [14]

Answer:

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Step-by-step explanation:

To solve this question, we need 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 normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 208, \sigma = 1.3, n = 60, s = \frac{1.3}{\sqrt{60}} = 0.1678

What is the probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

Lesser than 208 - 0.1 = 207.9 or greater than 208 + 0.1 = 208.1. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Lesser than 207.9.

pvalue of Z when X = 207.9. So

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

By the Central Limit Theorem

Z = \frac{207.9 - 208}{0.1678}

Z = -0.6

Z = -0.6 has a pvalue of 0.2743

2*0.2743 = 0.5486

54.86% probability that the mean diameter of the sample shafts would differ from the population mean by more than 0.1 inches

6 0
3 years ago
Does (-24,-12) and (-15,-9) line pass through point (18,2)?
Dmitrij [34]

Find the slope using the formula [ y2-y1/x2-x1 ].

-9-(-12)/-15-(-24)

3/9

1/3

Find the y-intercept using the formula [ y = mx + b ].

y = 1/3x + b

-12 = 1/3(-24) + b

-12 = -8 + b

-4 = b

Use (18, 2) to see if the line passes through it

y = 1/3x - 4

2 = 1/3(18) - 4

2 = 6 - 4

2 = 2 TRUE

Thus, the line does pass through (18, 2).

Best of Luck!

4 0
2 years ago
Read 2 more answers
For a large batch of cupcakes the robots use 1/5 of gallon of milk. they pour it into 2 separate measuring cups each the same si
vodomira [7]
<span>1/10 milk goes into each cup because 1/5 x 2 is 2/10 and 2/10 divided by 2 is 1/10 and that is your answer....Hope this helps!!!</span>
6 0
3 years ago
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