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liubo4ka [24]
3 years ago
14

(6ab+a-4)-(ab-1) please help me!

Mathematics
2 answers:
sammy [17]3 years ago
8 0
(6ab + a - 4)-(ab-1) \\ \\ 6ab + a - 4 - ab + 1 \\ \\ (6ab - ab) + a - 4 + 1 \\ \\ 5ab + a - 4 + 1 \\ \\ 5ab + a - 3 \\ \\ Answer: \fbox {5ab + a - 3}
Illusion [34]3 years ago
4 0
☆Let's simplify step-by-step!☆
☆<span>Question you asked:
</span><span><span><span><span>6a</span>b</span>+a</span>−4</span>−<span>(<span><span>ab</span>−1</span><span>)
</span></span>
☆<span>Distribute the Negative Sign:
</span><span><span><span><span>6a</span>b</span>+a</span>−4</span>+<span>−1<span>(<span><span>ab</span>−1</span><span>)
</span></span></span><span><span><span><span><span><span>6a</span>b</span>+a</span>+</span>−4</span>+<span><span>−1a</span>b</span></span>+<span><span>(−1)</span><span>(<span>−1</span><span>)
</span></span></span><span><span><span><span><span><span><span>6a</span>b</span>+a</span>+</span>−4</span>+</span>−<span>ab</span></span>+<span>1
</span>
☆<span>Combine Like Terms:
</span><span><span><span><span>6ab</span>+a</span>+−4</span>+<span>−ab</span></span>+1
<span><span>(<span><span>6ab</span>+<span>−ab</span></span>)</span>+<span>(a)</span></span>+<span>(<span>−4+1</span><span>)
</span></span>
☆Answer:
<span><span><span>5a</span>b</span>+a</span>+<span>−3
</span>
<span>☆</span>I hope this helps!☆
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Step-by-step explanation:

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A surf instructor has an initial fee of $12 and charges $8 per hour for lessons.
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A player chooses one of the numbers 1 through 4. After the choice has been made, two regular four-sided (tetrahedral) dice are r
d1i1m1o1n [39]

Answer:  =\frac{-1}{16}

Step-by-step explanation:

given data:

number to be chosen from = 1,2,3,4.

<u><em>Solution:</em></u>

ways the number can show

2*3*1=6 ways for your number to appear once.

1*1=1 ways for your number to appear twice.

3*3=9 ways for your number not to appear at all

= \frac{6(1) + 1(2) - 9(1)}{16}

= \frac{6+2-9}{16}

=\frac{-1}{16}

expected return of the player is =\frac{-1}{16}

4 0
3 years ago
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard
avanturin [10]

Answer:

There is a 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

Step-by-step explanation:

Problems of normally distributed samples can be 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, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 33,208 miles, with a standard deviation of 2503 miles.

This means that \mu = 33208, \sigma = 2503.

What is the probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct?

This is the pvalue of Z when X = 33208+633 = 33841 subtracted by the pvalue of Z when X = 33208 - 633 = 32575

By the Central Limit Theorem, we have t find the standard deviation of the sample, that is:

s = \frac{\sigma}{\sqrt{n}} = \frac{2503}{\sqrt{49}} = 357.57

So

X = 33841

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

Z = \frac{33841 - 33208}{357.57}

Z = 1.77

Z = 1.77 has a pvalue of 0.9616

X = 32575

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

Z = \frac{32575- 33208}{357.57}

Z = -1.77

Z = -1.77 has a pvalue of 0.0384.

This means that there is a 0.9616 - 0.0384 = 0.9232 = 92.32% probability that the sample mean would differ from the population mean by less than 633 miles in a sample of 49 tires if the manager is correct.

4 0
3 years ago
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Aneli [31]

Answer:

yes, the triangle are congruent by SAS

6 0
2 years ago
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