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3 years ago

12

Jia has a bag with a purple marble, a white marble, and an orange marble. She pulls a marble from the bag and then puts it back

3 times.
How many possible outcomes are there for this experiment?

What is the probability of selecting exactly 2 white marbles?

What is the probability of selecting two orange marbles after selecting a purple marble?

1 answer:

spayn [35]3 years ago

4 0

Answer:

1. 3

2. 33.3%

3. 33.3%

Step-by-step explanation:

Could be wrong, could be right.

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How do you Round 96,286 to the nearest thousand.

Varvara68 [4.7K]

Answer:

The correct answer is 96,000

Step-by-step explanation:

To round you look at the thousands place and there is a 9 then you look at the number to the right of it which is 2 and it is lower than 5 since it is lower than five it rounds down so the correct answer is 96,000.

HAVE A GOOD DAY!

8 0

3 years ago

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You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

What is the value of 20+30(7+4)+5+2(7+99?

KATRIN_1 [288]

Answer:

the answer is 567

Step-by-step explanation:

20+30(11)+5+2(106)

20+330+5+212

= 567

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3 years ago

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Slope of the line that passes through (3, -11) and (0, 4), please!

Lorico [155]

Answer:

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Step-by-step explanation:

slope formula= $\frac{y1 - y2}{x1 - x2}$

slope of line

$= \frac{4 - ( - 11)}{0 - 3} \\ = \frac{4 + 11}{ - 3} \\ = \frac{15}{ - 3} \\ = - 5$

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4 years ago

Find the values of v,w,x,y,z

vichka [17]

Step-by-step explanation:

There isn't any equation given, so there isn't anything to do here

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2 years ago