A. <span>2x + 5y= 10
5y= -2x+10
</span>-> y= -2/5x+2

b. The slope is 2

c. For the y intecpet, x is always 0

y= -2/5x+2
y= -2/5(0)+2
y=0+2
y=2

(0,2) is the y-interecpt

d. Please veiw below

4 0

3 years ago

A survey of athletes at a high school is conducted, and the following facts are discovered: 13% of the athletes are football pla

nekit [7.7K]

Answer:

The probability that an athlete chosen is either a football player or a basketball player is 56%.

Step-by-step explanation:

Let the athletes which are Football player be 'A'

Let the athletes which are Basket ball player be 'B'

Given:

Football players (A) = 13%

Basketball players (B) = 52%

Both football and basket ball players = 9%

We need to find probability that an athlete chosen is either a football player or a basketball player.

Solution:

The probability that athlete is a football player = $P(A)= \frac{13}{100}=0.13$

The probability that athlete is a basketball player = $P(B)= \frac{52}{100}=0.52$

The probability that athlete is both basket ball player and football player = $P(A\cap B) = \frac{9}{100}=0.09$

We have to find the probability that an athlete chosen is either a football player or a basketball player $P(A\cup B)$ .

Now we know that;

$P(A\cup B)= P(A) + P(B) - P(A \cap B)\\\\P(A\cup B) = 0.13+0.52-0.09=0.56\\\\P(A\cup B) = \frac{0.56}{100}=56\%$

Hence The probability that an athlete chosen is either a football player or a basketball player is 56%.

5 0

3 years ago

What is the area of the trapezoid?

alekssr [168]

Answer:

100 m^2.

Step-by-step explanation:

The area of a trapezoid = (h/2) (a + b) where h = the perpendicular distance between the 2 parallel sides and a and b are the lengths of the 2 parallel sides.

Here we have Area = (1/2 * 10) ( 8 + 12)

= 5 * 20

= 100 m^2.

8 0

2 years ago

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