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IrinaVladis [17]
3 years ago
14

n an after school program, students must choose to either play on the playground or read a book silently. On one cloudy day, 70%

of the students chose to play on the playground, and the rest chose read a book silently. 60% of the students who went to the playground are boys, and 20% who stayed inside to read a book are boys. If a student is randomly selected on this day, what is the probability that the student is a girl?
Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0
20% b/c
70% playground - 60% boys= 10%girls
100% total-70% playground = 30% inside
30% inside-20% boys= 10%girls
10%girls +10% girls=20%girls
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What is the vertex of the following function? f(x) = 2(x+8)^2 - 2
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2 years ago
What is 5 3/5+ 2 4/10​
Mars2501 [29]

Answer:

8

Step-by-step explanation:

5 + 2 =7

3/5 = 6/10

6/10 + 4/10=1

7+1=8

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Geoff has had, for a long time, a savings account with an annual interest rate of 3.65%. Now, however, the bank wants to change
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One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is
xenn [34]

Answer:

Option A is correct

3.33 ft wide should the metal piece be.

Step-by-step explanation:

Area of rectangle(A) is given by:

A =lw              .....[1]

l is the length and w is the width of the rectangle respectively.

As per the statement:

One more rectangular-shaped piece of metal siding needs to be cut to cover the exterior of a pole barn. The area of the piece is 30 ft²

⇒A = 30 ft²

It is also given that the length is 1 less than 3 times the width

⇒l = 3w -1 ft

Substitute the given values in [1] we have;

30 = (3w-1) \cdot w

Using distributive property: a \cdot (b+c) = a\cdot b+ a\cdot c

then;

30 = 3w^2-w

We can write this as:

3w^2-w-30 = 0

Factorize this equation:

Split the middle term we have;

3w^2-10w+9w-30 = 0

⇒w(3w-10)+3(3w-10=0)

⇒(3w-10)(w+3)=0

By zero product property we have;

3w-10 = 0 and w+3 = 0

Since, w cannot be negative;

so,

w = \frac{10}{3} = 3.3333.. ft

Therefore, to the nearest hundredth of a foot, 3.33 ft wide should the metal piece be.

7 0
3 years ago
Read 2 more answers
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