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Natali [406]
3 years ago
10

1/8 of the boys at a high school tried out for the football team, 1/6 tried out for the baseball team, and 1/ 12 tried out for t

he football team and baseball team. What fraction of those who tried out for football also tried out for baseball
Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

2/3

Step-by-step explanation:

This problem is an overlap problem. First we have that 1/8 total tried out for football team, 1/6 total tried out for baseball team and 1/12 of the students that tried out for both football and baseball team.

So if we want to find those who just tried football, we perform the following operation:

1/8 - 1/12 = 1/24.

So we know that 1/24 tried out just football.

If we want to find all those who tried out just for baseball, we perform the following operation:

1/6 - 1/12 = 1/12

So we know that 2/24 (1/12 multiplied by two) tried  for both football and baseball and 3/24 tried out for football, it means that 2/3 of the boys who tried football also tried baseball.

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The spinner below is spun 60 times.<br> Results are shown in the table<br> below.
mezya [45]

Answer:

Step-by-step explanation:

Theortical probability

A = 1/4

B = 1/3

C = 5/12

Experamental probability

A = 18/60 = 3/10

B = 20/60 = 1/3

C =  22/60 = 11/30

8 0
2 years ago
Determine if the following infinite series converges or diverges
Mandarinka [93]

Using limits, it is found that the infinite sequence converges, as the limit does not go to infinity.

<h3>How do we verify if a sequence converges of diverges?</h3>

Suppose an infinity sequence defined by:

\sum_{k = 0}^{\infty} f(k)

Then we have to calculate the following limit:

\lim_{k \rightarrow \infty} f(k)

If the <u>limit goes to infinity</u>, the sequence diverges, otherwise it converges.

In this problem, the function that defines the sequence is:

f(k) = \frac{k^3}{k^4 + 10}

Hence the limit is:

\lim_{k \rightarrow \infty} f(k) = \lim_{k \rightarrow \infty} \frac{k^3}{k^4 + 10} = \lim_{k \rightarrow \infty} \frac{k^3}{k^4} = \lim_{k \rightarrow \infty} \frac{1}{k} = \frac{1}{\infty} = 0

Hence, the infinite sequence converges, as the limit does not go to infinity.

More can be learned about convergent sequences at brainly.com/question/6635869

#SPJ1

6 0
2 years ago
Read 2 more answers
A phone company charges $0.50 per minute and a connection fee of $1. If you were to represent the total cost y of an x minute ca
klasskru [66]

Answer:

Per minute value fee would be the slope of the line.

Step-by-step explanation:

Given:

Per minute charges by the phone company = $ 0.50

Connection fee (fixed) charged by company = $ 1.0

We have to represent the total cost in terms of y and also explain the slope of the line.

According to the question:

Let the number of minutes be "x" .

And the total cost charged be "y" .

So,

The total cost = (No. of minutes)(Per minute charge) + Connection fee

Re-arranging in term of x and y.

⇒ total\ cost = (no.\ of\ minutes)(per\ minute\ charge) + connection\ fee

⇒ y=0.50(x)+1   ...equation (i)

Slope- intercept form: y=m(x) +b  m is the slope and b is the y-is   intercept.

⇒ Comparing equation (i) with the slope- intercept form.

⇒ m=0.50  and  b=1

So,

The slope of the line is 0.50 which is also represented by the per minute value of the call.

Per minute value fee would be the slope of the line.

4 0
3 years ago
Can two rectangles with the same side lengths be congruent
sveta [45]

Answer:

the angles in squares and rectangles it's always 90° so two squares or two rectangles with same side lengths are congruent.

8 0
2 years ago
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Suppose you can factor x^2 + bx + c as (x + p)(x + q). If c &gt; 0, what could be possible values of p and q?
ad-work [718]

p could be 5 and q could be 8 this is just my guess but i think its right

3 0
3 years ago
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