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mario62 [17]
3 years ago
8

A suburban high school has a population of 1376 students. The number of students who participate in sports us 649. The number of

students who participate in music is 433. If the probability that a student participates in either sports is 974/1376, what is the probability that a student participates in both sports and music?
Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

The probability that a student participates in both sports and music is 108/1376

<u>Explanation:</u>

Let x be the number of students participating in both sports and music

According to the question:

P(A or B) = P(A) + P(B) - P(A and B)

P(sports or music) = P(sports) + P(music) - P(sports and music)

\frac{974}{1376} = \frac{649}{1376} + \frac{433}{1376} - \frac{x}{1376} \\\\974 = 1082 - x\\\\x = 108

P(sports and music) = \frac{108}{1376}

Therefore, the probability that a student participates in both sports and music is 108/1376

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3/5x + 3 = 6 whats is x?​
KengaRu [80]

Answer:

<h3>X = 3/5 </h3>

3/5x + 3 = 6

3/5x = 6 - 5

3/5x = 1

<h3><u>Multiplying </u><u>both </u><u>the </u><u>sides </u><u>with </u><u>5x </u></h3>

3/5x (5x) = 1* 5x

3 = 5x

3/5 = X

8 0
2 years ago
Find the area of the composite figure. <br><br>A=36cm<br><br>A=40cm<br><br>A=48cm<br><br>A=64cm​
MissTica

Check the picture below.

so the shape is really 4 triangles with a base of 2 and a height of 4 each, and 2 squares tha are 4x4.

\bf \stackrel{\textit{area of the 4 triangles}}{4\left[\cfrac{1}{2}(2)(4) \right]}~~+~~\stackrel{\textit{area of the two squares}}{2(4\cdot 4)}\implies 16+32\implies 48

8 0
2 years ago
How can I solve ¾ - (-5/12)?
Oksana_A [137]

Answer:

1 \frac{1}{6}

Step-by-step explanation:

\frac{3}{4}+ \frac{5}{12} =?\\

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.

(\frac{3}{4} × \frac{3}{3} ) + (\frac{5}{12} ×\frac{1}{1})=?

Complete the multiplication and the equation becomes

\frac{9}{12} + \frac{5}{12}

The two fractions now have like denominators so you can add the numerators.

\frac{9+5}{12} = \frac{14}{12}

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 12 using

GCF(14,12) = 2

14÷2 / 12÷2 =7/6

The fraction

7/6

is the same as

7÷6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= 1 \frac{1}{6}

Therefore:

3/4 − (−5/12) = 1 \frac{1}{6}

Solution by Formulas

Apply the fractions formula for subtraction, to

3/4 − (−5/12)

and solve

(3×12) − (−5×4) 4×12

=3/6− (−20/48)

=56/48

Reduce by dividing both the numerator and denominator by the Greatest Common Factor GCF( 56,48) = 8

56÷8 / 48÷8 =7/6

Convert to a mixed number using

long division for 7 ÷ 6 = 1R1, so

7/6= 1 \frac{1}{6}

Therefore:

3/4 − (-5/12) = 1 \frac{1}{6}

8 0
1 year ago
Find the surface area of the figure?
motikmotik

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

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in our case the area of one trapezoid is

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together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

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so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

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NARA [144]
B-y is the another factor
5 0
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