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vlabodo [156]
3 years ago
8

A bag has 4 green marbles, 3 red marbles, and 3 yellow marbles. What is the probability that you pick. a red marble, do not repl

ace it, and pick another yellow marble?
Mathematics
1 answer:
Illusion [34]3 years ago
7 0

Answer:

Red is 3/10

yellow is 1/3

Step-by-step explanation:

since there is 10 marbles all together it will be out of 10

and since there is 3 red marbles the probability is 3/10

but when you take out one of the marbles the total amount of marbles in the bag is 9. since there is 3 yellow marbles in the bag it would be 3/9 which can be simplified to 1/3

You might be interested in
If 18 +3 = n-7 then what is n
kirill115 [55]

Answer:

28

Step-by-step explanation:

18 + 3 = 21

28 - 7 = 21

4 0
3 years ago
Read 2 more answers
Two buildings are facing each other on a road of width 12 metre . From the top of the first building, which is 10 metre high , t
Karo-lina-s [1.5K]

Answer:

\displaystyle 10 + 12\sqrt{3} <em>metres</em>

Step-by-step explanation:

You are finding the <em>height</em><em> </em>of the building with an angle of elevation, therefore we need to solve for <em>EC</em><em> </em>to add it to <em>BA</em><em> </em>[10 metres] and use TRIGONOMETRIC RATIOS to arrive at our conclusion. Just in case you have forgotten what they were, here they are:

\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ

We can now solve for <em>EC</em>:

\displaystyle cot\:60 = \frac{12}{EC} → ECcot\:60 = 12 \\ \\ \frac{ECcot\:60}{cot\:60} = \frac{12}{cot\:60} → 12\sqrt{3} = EC

<em>OR</em>

\displaystyle tan\:60 = \frac{EC}{12} → 12tan\:60 = EC → 12\sqrt{3} = EC

Now that you have solved for <em>EC</em>, you can now add it to your original 10 metres to get \displaystyle 10 + 12\sqrt{3} <em>metres</em>. As a decimal, you would get \displaystyle 30,78460969... <em>metres</em>. You can go ahead and round this off if necessary.

** The reason why the <em>cotangent</em><em> </em>[or <em>tangent</em>] ratio was used was because <em>EA</em><em> </em>is equivalent to <em>DB</em> by the definition of a rectangle. It has two pairs of parallel and congruent sides with <em>four</em><em> </em><em>right</em><em> </em><em>angles</em>. Plus, that is the <em>adjacent</em><em> </em><em>side</em><em> </em>of the triangle, while <em>EC</em><em> </em>is the <em>opposite</em><em> </em><em>side</em><em> </em>of the triangle, so we knew our ratios were correct.

I am joyous to assist you at any time.

8 0
3 years ago
In 2012, Gallup asked participants if they had exercised more than 30 minutes a day for three days out of the week. Suppose that
enot [183]

Answer:

0.622

Step-by-step explanation:

According to the question,

62.2% of the respondents from Hawaii said that they had exercised more than 30 minutes a day for 3 days out of the week.

So, value of the sample proportion of people from Hawaii who exercised for at least 30 minutes a day for 3 days in a week is given by,

\frac {62.2}{100}

= 0.622  

7 0
3 years ago
PLEASE HELP ASAP!! Thank you!
ankoles [38]
The answer is:
14-55x-36x
8 0
3 years ago
What is the product of the polynomial 2x^3 + 8x^2 + x + 3 times the<br> monomial x?
Elis [28]

Answer:

\huge\boxed{2x^4 + 8x^3 + x^2 + 3x}

Step-by-step explanation:

When we multiply a polynomial by a specific monomial, all terms in the polynomial get multiplied by the monomial.

So we can do this by term.

2x^3 \cdot x

Multiplying x by x to the something power will just increase the exponent on the x term by one (since powers are just x multiplied by itself). This means the exponent here will increase by 1, so this becomes 2x^4.

Same logic applies to the second term: 8x^2, raise the exponent by one, 8x^3.

For the third term, if there is no exponent on a term you can assume it's exponent is 1 (so x^1 in this case - as x^1=x). Again, using the same logic, this turns into x^2.

For the last term, when we multiply a constant by a variable, we get a term with a variable and a coefficient - the constant becomes the coefficient and the variable stays the variable. Therefore, 3 \cdot x = 3x.

Adding these terms all together gets us 2x^4 + 8x^3 + x^2 + 3x.

Hope this helped!

8 0
4 years ago
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