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Leona [35]
3 years ago
11

Make a the subject of the formulae 5c = 3b(6a + 2)

Mathematics
1 answer:
Alexus [3.1K]3 years ago
5 0

Answer:

a = \frac{5c-6b}{18b}

Step-by-step explanation:

5c = 3b(6a + 2)

\frac{5c}{3b}  = (6a + 2)

\frac{5c}{3b}-2  = 6a

\frac{5c-6b}{3b}  = 6a

\frac{5c-6b}{18b}  = a

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foot locker uses sales per square foot as a measure of store productivity last year the mean annual sales per square foot was 39
lord [1]

Answer:

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

Step-by-step explanation:

We have a population with mean 390 and standard deviation 45.83.

Samples of size n=49 are taken.

The parameters of the sampling distribution are:

\mu_s=\mu=390\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{45.83}{\sqrt{49}}=\dfrac{45.83}{7}=6.547

First, we have to calculate the z-score that satisfies:

P(z>z^*)=0.82

This z-score, looked up in a standard normal distribution table, is z=-0.915.

Then, we can calculate the sample mean as:

M=\mu_s+z\cdot\sigma_s=390+(-0.915)\cdot 6.547=390-6=384

There is a 82% probability that th esample mean annual sales per square foot is at least $384.

3 0
3 years ago
20 POINTS
denis-greek [22]

Answer:

c. 441ft^2

Step-by-step explanation:

Area is height times length and since it's a square, safe to say that the sides are equal in length. So square root both of the given areas of the 2 square:

\sqrt{841} = 29

\sqrt{400} = 20

Now u have side b and c of the triangle, it's a right triangle so use the Pythagorean theorem a^2 + b^2 = c^2

a^2 + b^2 = c^2

a^2 + 20^2 = 29^2

a^2 + 400 = 841

subtract 4 from both sides

a^2 = 441

square root both sides

\sqrt{a^2} = \sqrt{441}

a = 21

Now the side a of the triangle is also a side of the small square therefore

21^2 = 441

8 0
3 years ago
Which of the following is not a congruence theorem or postulate A. ASA B. SSS C. SAS D. AAA
natka813 [3]

Answer:

D. AAA is not a congruence postulate

Step-by-step explanation:

6 0
3 years ago
A computer services company has 15,000 programmers worldwide, of which 3% are women. During
Anvisha [2.4K]

Answer:

The probability that 6 or more women would be laid off is P=0.08.

Step-by-step explanation:

In this case, we have a group of people and a proportion of women and men. We can think of the people laid off as a random sample taken from the population (all employees of the department).

The right model to represent that is with a binomial distribution. In this case, the sample size is n=8 and the probability of picking a woman is p=0.44.

According to this model, the probability that 6 or more women, out of 8 persons, would be laid off is:

7 0
3 years ago
If p and q vary inversely and p is 10 when q is 19 , determine q when p is equal to 2
GenaCL600 [577]
You divide 10 by 5 is two so 19 decided by five is 3.8
6 0
3 years ago
Read 2 more answers
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