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strojnjashka [21]
3 years ago
11

A little girl has a 96-pack of crayons. She picks up crayons, at random, to check the color, and she leaves them in a separate p

ile after inspecting the color. She pulls crayons out of the pack until she gets the sea-foam green crayon.
What is the expected number of crayons she will check until she finds sea-foam green?

Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

the solution is given in the attachments

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The fish tank has side lengths 20in, 10in and height 15in. The water level is two inches below the top of the tank. A glass sphe
Kitty [74]

Answer:

Part 1) The new distance from the water to the top of the tank is 1.979\ in

Part 2) The maximum number of balls that can be put into the tank with the tank not overflowing is 95

Step-by-step explanation:

step 1

Find the total volume of the tank

V=20*10*15=3,000\ in^{3}

step 2

Find the volume of the tank if the water level is two inches below the top of the tank

V=20*10*(15-2)=2,600\ in^{3}

step 3

Find the volume of the glass sphere

The volume of the glass sphere is equal to

V=\frac{4}{3}\pi r^{3}

we have

r=1\ in

assume

\pi=3.14

substitute

V=\frac{4}{3}(3.14)(1)^{3}

V=4.2\ in^{3}

step 4

What is the new distance from the water to the top of the tank?

we know that

2 in -----> represent (3,000-2,600)=400\ in^{3}

so

using proportion

Find how many inches correspond a volume of 4.2\ in^{3}

\frac{2}{400}\frac{in}{in^{3}}=\frac{x}{4.2}\frac{in}{in^{3}}\\ \\x=4.2*2/400\\ \\x=0.021\ in

The new distance from the water to the top of the tank is

2-0.021=1.979\ in

step 5

Find how many of these balls can be put into the tank with the tank not overflowing

we know that

The volume of one ball is equal to  4.2\ in^{3}

using proportion

\frac{1}{4.2}=\frac{x}{400}\\ \\x=400/4.2\\ \\x=95.23\ balls

therefore

The maximum number of balls that can be put into the tank with the tank not overflowing is 95

4 0
3 years ago
Can y’all help me pls
Tamiku [17]

Answer:

Step-by-step explanation:

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8 0
3 years ago
Angles BAE and FAC are straight angles. What angle relationship best describes angles BAC and EAF?Adjacent anglesComplementary a
Natalka [10]

The best angle relationship that describes angles BAC and EAF is supplementary angles

The sum of angle on a straight line is supplementary i.e. they sum up to 180 degrees.

If Angles BAE and FAC are straight angles, it means they are linear pairs and their sum is 180 degrees. Mathematically;

m<BAE + m<FAC = 180degrees

Hence we can conclude that the best angle relationship that describes angles BAC and EAF is supplementary angles

Learn more here: brainly.com/question/22309882

8 0
2 years ago
Choose two angles that are each separately corresponding angles with 5
netineya [11]
2 and 12 both correspond with angle 5
6 0
3 years ago
Read 2 more answers
AX + B = C what is X equal to?
elena-14-01-66 [18.8K]

Answer:

x is a variable

Step-by-step explanation:

what happens an squared plus B equals C and what I want to do is solve for a so again what we want to do is when we're taking solver a we want to isolate the variable get the variable by itself so the data that need to look at well what is happening on my variable a well you can see me as being multiplied by X and it's being added by B so I need to undo those but we got to make sure we undo them in a certain upper certain order which we call the reverse order of operations which is like the order of operations but the reverse method meaning I'm gonna undo addition or subtraction first so you can see that since my variable a is being added by B I need to undo that by subtracting B and I'll use my subtraction property of equality that's going to now subtract a 0 and then these C minus B are not like terms so I'm going to write ax is equal to C minus B now I need to solve for a so I need to look at and say alright my a is being x over X so the inverse operation of multiplying is dividing by X so therefore have a equals C minus B divided by X now sometimes you could say alright that's correct but we could also divide this X into both of these terms and I'm going to rewrite this in a different form I could say a equals C over X minus B over X alright so what I'm doing is are just dividing those through

hope this helps

5 0
2 years ago
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