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3 years ago

Solve for y: 6x-2y= -8

Mathematics

1 answer:

Jlenok [28]3 years ago

4 0

Move all terms that don't contain y to the right side and solve y=3x+4

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A running shoe store mounts a new promotional campaign. Purchasers of new shoes may, if dissatisfied for any reason, return them

Vitek1552 [10]

Answer:

$P(K = k ) = \ ^nC_x * p^k * (1-p)^{n-k}$

Here k is the random number of number of pairs of shoes that will be returned for refund, which can be k = 0,1 ,2,3,4 ..., 120

The mean is $E(K) = np = 13.2$

The standard deviation is $\sigma = 3.43$

The mean is $E(C) = E(105 K) = 1386$

The standard deviation is $\sigma = 381.48$

Step-by-step explanation:

From the question we are told that

The cost to dealer for each refund is $C = \$105$

The probability that a shoe will refunded is $P(x) = 0.11$

The number of shoes purchased is n = 120 pairs

Generally the probability distribution of the number of pairs of shoes that will be returned for refunds is

$P(K = k ) = \ ^nC_x * p^k * (1-p)^{n-k}$

Here k is the random number of number of pairs of shoes that will be returned for refund, which can be k = 0,1 ,2,3,4 ..., 120

Generally the mean is mathematically represented as

$E(K) = np = 120 * 0.11$

=> $E(K) = np = 13.2$

Generally the standard deviation is mathematically represented as

$\sigma = \sqrt{ n* p (1-p)}$

=> $\sigma = \sqrt{ 120* 0.11 (1-0.11)}$

=> $\sigma = 3.43$

Generally the total refund cost is mathematically represented as

$C = 105 K$

Here K denotes the number of shoes returned

Generally the mean of the total refund cost is mathematically represented as

$E(C) = E(105 K) = 105 E(K)$

=> $E(C) = E(105 K) = 105 * 13.2$

=> $E(C) = E(105 K) = 1386$

Generally the variance of the total refund cost is mathematically represented as

$Var(K) = 105^2 * E(K)$

=> $Var(K) = 105^2 * 13.2$

=> $Var(K) = 145530$

=> $\sigma = \sqrt{145530 }$

=> $\sigma = 381.48$

7 0

3 years ago

Two numbers have an absolute value of 16. Which of the two numbers is greater than 12?

vovikov84 [41]

The two numbers that have an absolute value of 16 are 16 and -16, and since negatives are always smaller than positives, your answer would be 16.

7 0

3 years ago

Read 2 more answers

Conjugate of 8+4i ...?

melamori03 [73]

The conjugate of any complex number in the form
α + βi
is
α - βi
So the conjugate of
8 + 4i
is
8 - 4i

5 0

3 years ago

Read 2 more answers

What is the intersection of the three sets? A={0,2,3,6,8}, B={2,3,6,8,9}, C={1,2,4,8,9} A. {2,8,9} B. {2,6,8} C. {2,8} D.{0,1,2,

kumpel [21]

The intersection of sets is the set of all elements common to all sets. In the given above, all the sets contain the numbers 2 and 8. Thus, the intersection is a set with elements 2 and 8. The answer to this problem is letter C.

7 0

4 years ago

It takes two men six hours to paint a fence. How long would it take three men to paint the same fence?

Stella [2.4K]

Answer:

Step-by-step explanation:

If 2 men take 6 hrs to paint the fence, then

3 men would obviously take less time to paint the same fence;

2 men= 6 hrs

3 men= ?

thus, the time taken by three men to paint the same fence=2/3 ×6 hrs

= <u>4 hrs</u>

5 0

3 years ago