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3 years ago

4. Write the equation that describes the line in slope-intercept form.

Mathematics

1 answer:

My name is Ann [436]3 years ago

7 0

Answer: Y=-3(1)+4

Explained: formula for slope is y=Mx+b. M being slope, x being the x value, and b is the y value.

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Surface area in terms of pi?

Lunna [17]

$\bf \textit{volume of a sphere}\\\\ V=\cfrac{4\pi r^3}{3}~~ \begin{cases} r=radius\\ \cline{1-1} V=972\pi \end{cases}\implies 972\pi =\cfrac{4\pi r^3}{3}\implies 2916\pi =4\pi r^3 \\\\\\ \cfrac{2916}{4\pi }=r^3\implies 729=r^3\implies \sqrt[3]{729}=r\implies 9=r \\\\[-0.35em] ~\dotfill\\\\ \textit{surface area of a sphere}\\\\ SA=4\pi r^2\qquad \qquad \implies SA=4\pi (9)^2\implies \boxed{SA=324\pi }$

5 0

3 years ago

Answers for both boxes please

Dafna11 [192]

Answer y=25/3 or 8.33333 and x=0.4444443

Step-by-step explanation:

y=4(y-7/3)+3 y=4y-28+3 y=4y-25

7 0

3 years ago

The time required for an automotive center to complete an oil change service on an automobile approximately follows a normal di

xxMikexx [17]

Answer:

a) Therefore 92.64% of customers receive the service for half-price.

b) Therefore it would take 8.52 minutes

Step-by-step explanation:

Given that ime required for an automotive center to complete an oil change service on an automobile approximately follows a normal distribution with:

mean (μ) = 15 minutes

Standard deviation (σ) = 3.5 minutes

a) The z score is given by the equation:

$z=\frac{x-\mu}{\sigma}$

Since the service will take no longer than 20 minutes,

$z=\frac{x-\mu}{\sigma}=\frac{20-15}{3.5} = 1.43$

Using the probability table to get the probability of the z score

percent of customers receive the service for half-price = P(X < 20) = P(z < 1.43) = 0.9236 = 92.64%

Therefore 92.64% of customers receive the service for half-price.

b) Since the probability is 3% = 0.03, this corresponds with a z score of -1.88

Therefore:

$z=\frac{x-\mu}{\sigma}=\frac{x-15}{3.5} =-1.88$

$\frac{x-15}{3.5} =-1.88$

${x-15} =-6.58\\x=-6.58+15=8.52\\x=8.52 minutes$

Therefore it would take 8.52 minutes

6 0

3 years ago

Indira, Bonnie, and Chang all work at the same pet store. Indira works every other day. Bonnie works every fourth day. Chang wor

ella [17]

20 days until they work together again

3 0

3 years ago

123,456 is not divisible by which of the following numbers? 3,4,5,6

xxMikexx [17]

The answer is 5 because for it to be divisible by 5 the number needs to end in 0 or 5.
Also 3 goes into that number 41152
4=30864
6= 20576
5= 24691.2
because of the .2 at the end it is not divisible.

so the answer is 5

8 0

3 years ago