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3 years ago

Given the equation y − 4 = three fourths(x + 8) in point-slope form, identify the equation of the same line in standard form

Mathematics

1 answer:

Ahat [919]3 years ago

4 0

Answer:

-3x + 4y = 40.

Step-by-step explanation:

Let's convert the equation to standard form:

y - 4 = 3/4(x + 8)

y - 4 = 3/4 x + 6

y = 3/4x + 10

Multiply through be 4:

4y = 3x + 40

-3x + 4y = 40 (answer).

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A particular sale involves four items randomly selected from a large lot that is known to contain 9% defectives. Let X denote th

umka2103 [35]

Answer:

The expected repair cost is $3.73.

Step-by-step explanation:

The random variable X is defined as the number of defectives among the 4 items sold.

The probability of a large lot of items containing defectives is, p = 0.09.

An item is defective irrespective of the others.

The random variable X follows a Binomial distribution with parameters n = 9 and p = 0.09.

The repair cost of the item is given by:

$C=3X^{2}+X+2$

Compute the expected cost of repair as follows:

$E(C)=E(3X^{2}+X+2)$

$=3E(X^{2})+E(X)+2$

Compute the expected value of X as follows:

$E(X)=np$

$=4\times 0.09\\=0.36$

The expected value of X is 0.36.

Compute the variance of X as follows:

$V(X)=np(1-p)$

$=4\times 0.09\times 0.91\\=0.3276\\$

The variance of X is 0.3276.

The variance can also be computed using the formula:

$V(X)=E(Y^{2})-(E(Y))^{2}$

Then the formula of $E(Y^{2})$ is:

$E(Y^{2})=V(X)+(E(Y))^{2}$

Compute the value of $E(Y^{2})$ as follows:

$E(Y^{2})=V(X)+(E(Y))^{2}$

$=0.3276+(0.36)^{2}\\=0.4572$

The expected repair cost is:

$E(C)=3E(X^{2})+E(X)+2$

$=(3\times 0.4572)+0.36+2\\=3.7316\\\approx 3.73$

Thus, the expected repair cost is $3.73.

4 0

3 years ago

Candice and christ run a relay race at recess. Candice runs 1/2 of a lap around the track. Chris runs 1/3 of a lap around the tr

eduard

Answer:

Candice ran 1/6 of a lap further than Chris.

Step-by-step explanation:

we know that

To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs

$\frac{1}{2}-\frac{1}{3}=\frac{3-2}{6}=\frac{1}{6}\ lap$

therefore

Candice ran 1/6 of a lap further than Chris.

5 0

3 years ago

1) What are the solutions of (x/3) > -1? is this asking if I need multiple solutions?

BartSMP [9]

Yes...

x/3 > -1

what values of x make x/3 > -1

hint... your answer will look like like x > (number)

7 0

3 years ago

Type 700 words in 10 min how many words per min

Iteru [2.4K]

Answer:5.4

Step-by-step explanation:

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3 years ago

17. Which is M=9pn solved for p? (1 point)

lesantik [10]

B 56

Step-by-step explanation:

8 0

3 years ago