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jekas [21]
2 years ago
12

A bag contains 9 marbles: 3 are green, 2 are red, and 4 are blue. Bob chooses a marble at random, and without putting it back, c

hooses another one at
random. What is the probability that both marbles he chooses are red? Write your answer as a fraction in simplest form.
DO
Mathematics
1 answer:
kvasek [131]2 years ago
8 0

Answer: 1/18

Step-by-step explanation:

9 total marbles

2 red

so the first time he picks it would be a 2/9 chance of the marble being red

the second time there would be 8 total marbles and 2 red, so it would be a 2/8 or 1/4 chance.

the probability is found by doing 2/9*1/4 which equals 2/36 or 1/18.

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A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same
Ahat [919]
A rectangular prism is a cuboid so volume of cuboid is base area x height which is 5x5x12=300
volume of pyramid is 1/3 x base area x height = 5x5x6x1/3=50 thus volume outside pyramid and inside cuboid is 300-50=250
3 0
3 years ago
Read 2 more answers
A car with a cost price of $5200 is<br> sold at a profit of 15%. Calculate the<br> selling price
andriy [413]

Answer:

We are given the initial price of a car and we are also told that the car sold for a 15% profit which means that the price that the car was sold for is 15% more than it's initial price.  This is just a simple multiplication problem which we multiply the initial price by the total percentage plus 0.15

Sold\ Price = Initial\ Price *(Total\ Percentage+Profit\ Percentage)

Sold\ Price = \$5200*(1+0.15)

Sold\ Price = \$5200*(1.15)

Sold\ Price = \$5980

Therefore, our final answer is that the selling price was $5980

<u><em>Hope this helps! </em></u>

5 0
2 years ago
If a frozen yogurt has 75 calories in 2 oz, how many are in 8 oz of yogurt?
irina [24]

Answer:

The answer would be 300 calories

Step-by-step explanation:

To find the amount of calories in 8 ounces we need to make the ounce amount the same. Let x equal the number of calories.

75/2=x

To get to 8 ounces we need to multiply the bottom by 4. and what we do to the bottom we do to the top.

75*4/2*4=x

multiply

300/8=x

There are 300 calories in 8 ounces.

4 0
3 years ago
an inverted conical water tank with a height of 20 ft and a radius of 8 ft is drained through a hole in the vertex (bottom) at a
viktelen [127]

Answer:

the rate of change of the water depth when the water depth is 10 ft is;  \mathbf{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

Step-by-step explanation:

Given that:

the inverted conical water tank with a height of 20 ft and a radius of 8 ft  is drained through a hole in the vertex (bottom) at a rate of 4 ft^3/sec.

We are meant to find the  rate of change of the water depth when the water depth is 10 ft.

The diagrammatic expression below clearly interprets the question.

From the image below, assuming h = the depth of the tank at  a time t and r = radius of the cone shaped at a time t

Then the similar triangles  ΔOCD and ΔOAB is as follows:

\dfrac{h}{r}= \dfrac{20}{8}    ( similar triangle property)

\dfrac{h}{r}= \dfrac{5}{2}

\dfrac{h}{r}= 2.5

h = 2.5r

r = \dfrac{h}{2.5}

The volume of the water in the tank is represented by the equation:

V = \dfrac{1}{3} \pi r^2 h

V = \dfrac{1}{3} \pi (\dfrac{h^2}{6.25}) h

V = \dfrac{1}{18.75} \pi \ h^3

The rate of change of the water depth  is :

\dfrac{dv}{dt}= \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

Since the water is drained  through a hole in the vertex (bottom) at a rate of 4 ft^3/sec

Then,

\dfrac{dv}{dt}= - 4  \ ft^3/sec

Therefore,

-4 = \dfrac{\pi r^2}{6.25}\  \dfrac{dh}{dt}

the rate of change of the water at depth h = 10 ft is:

-4 = \dfrac{ 100 \ \pi }{6.25}\  \dfrac{dh}{dt}

100 \pi \dfrac{dh}{dt}  = -4 \times 6.25

100  \pi \dfrac{dh}{dt}  = -25

\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi}

Thus, the rate of change of the water depth when the water depth is 10 ft is;  \mathtt{\dfrac{dh}{dt}  = \dfrac{-25}{100  \pi} \  \ ft/s}

4 0
3 years ago
Items in a store are marked down by 35% what is the sale price if the regular price is $3.29
Alinara [238K]
$3.29*0.65(because you're paying 65% of the original price)
$2.14(this answer is rounded up to 2.14. if you don't round, it is 2.13)
7 0
3 years ago
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