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Elan Coil [88]
3 years ago
15

there are 4 red cubes, 3 blue cubes, 2 green cubes, and 1 yellow cube. if you pick 2 cubes at random with replacement. what is p

robability of choosing red, then choosing yellow?
Mathematics
2 answers:
Lelechka [254]3 years ago
7 0
All together are 10 cubes
Red=4 and yellow=1
Add 4+1= 5
5/10= 1/2 or .5 or 50%
Nimfa-mama [501]3 years ago
3 0
There are 4 reds out of 10 so the probability for a red would be 4/10 and for a yellow it would be 1/10. multiply them together to get 4/100 so your probability would be 1/25 or 0.04 or 4%
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Use the Counting Principle to find the probability. Choosing the 7 winning lottery numbers when the numbers are chosen at random
frozen [14]

Answer:   120

<u>Step-by-step explanation:</u>

Since the order of the numbers doesn't matter we can use the formula:

\dfrac{n!}{r!(n-r)!}\quad \text{where n is the quantity of items and r is the quantity chosen}\\\\\text{In this problem, there are 10 numbers (n = 10) and 7 to be chosen (r = 7)}\\\\_{10}C_{7}=\dfrac{10!}{7!(10-7)!}\\\\.\qquad=\dfrac{10!}{7!3!}\\\\.\qquad=\dfrac{10\times 9\times 8\times 7!}{7!\times 3\times 2\times 1}\\\\.\qquad=10\times 3\times 4\\\\.\qquad=120

7 0
2 years ago
Read 2 more answers
What is the product? (4y - 3) (2y^2 +3y - 5)
igomit [66]

(4y-3)(2y²+3y-5)

First , let's start with "4y"

4y*2y² = 8y³

4y*3y =  12y²

4y*-5 = -20y

Next, let's multiply by "-3"

-3*2y² = -6y²

-3*3y = -9y

-3*-5 = 15

Now, let's combine all of our values.

8y³+12y²-6y²-20y-9y+15 = 8y³+6y²-29y+15

8 0
2 years ago
the angle of depression from an airplane at an altitude of 8000 feet to the airport is 7 degrees. Find the direct distance from
Aleks [24]

Answer:

direct distance = 65,644.07 feet

horizontal distance = 65,154.77 feet

Step-by-step explanation:

The angle of depression is the angle that the airplane does with the horizontal plane.

So, if this angle is 7° and the airplane is at an altitude if 8000 feet, we can find the direct distance and the horizontal distance using the tangent and the sine relations of the angle.

In the tangent of the angle, the opposite side will be the height of the airplane, and the adjacent side will be the horizontal distance (hd), so:

tangent(7) = 8000 / hd

hd = 8000 / tangent(7) = 65,154.77 feet

In the sine of the angle, the opposite side will be the height of the airplane, and the hypotenusa will be the direct distance (d), so:

sine(7) = 8000 / d

d = 8000 / sine(7) = 65,644.07 feet

5 0
3 years ago
5 times the sum of a number and 4 equals 9
goblinko [34]

Answer:

-2.2

Step-by-step explanation:

By using the equation 5*(4+x)=9, when you isolate x you get -2.2.

5 0
3 years ago
Camacho is buying a monster truck. The price of the truck is xxx dollars, and he also has to pay a 13\%13%13, percent monster tr
alexandr402 [8]

Although the information has been presented in a baffling way in this question, but I think I understood the expressions.

We have been given that price of monster truck is x dollars and there is an 13% monster truck tax.

We can express the monster truck tax amount as\frac{13}{100}\times x = 0.13x.

Therefore, the total amount including tax will be x+0.13x = 1.13x.

We can now match each statement with its equivalent expression as shown below

The price of Camacho’s new truck before tax  = x

The amount of tax Camacho pays = 0.13x

Camacho’s total bill for the monster truck = 1.13x

None of these = 0.87x


6 0
3 years ago
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