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Montano1993 [528]
1 year ago
11

A basket contains six apples and four peaches. You randomly select one piece of fruit and eat it. Then you randomly select anoth

er piece of fruit. The first piece of fruit is an apple and the second piece is a peach. Find the probability of this occuring.A. 4/15B. 1/4C. 1/6D. 15/56
Mathematics
1 answer:
Margarita [4]1 year ago
3 0

6 apples + 4 peaches = 10 pieces of fruit

First choice is an apple = 6 /10 = 3/5

Now, there are:

5 apples + 4 peaches = 9 pieces of fruit

Second choice is a peach = 4 /9

Multiply the 2 fractions:

3/5 x 4/9 = 12/45 = 4/15

Answer= 4/15 (A)

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Biologists have found that the number of chirps some crickets make per minute is related to temperature. the relationship is ver
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Answer:

It is 74.24 degrees Fahrenheit when the crickets are chirping 150 times a minute.

Variables x = Chirps and  y = Degrees

y-intercept = 38.24

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Step-by-step explanation:

As the chirps are 124 times per minute for 68 degrees Fahrenheit we will consider it in (x_1,y_1) = (124,68).

Now when the chirps are 172 times and temperature is 80 degrees we consider it (x_2,y_2) = (172,80).

To find the slope we can use point-slope formula.

Where m is the slope and m=\frac{y_2-y_1}{x_2-x_1} =\frac{80-68}{172-124}= 0.24

To find y-intercept we will plug out the value of slope in y=m(x)+b choosing point (x_1,y_1) = (124,68).

So b=y-m(x) =68-124(0.24) =68-29.76=38.24

And the equation is y=0.24(x)+b

To calculate temperature for 150 chirpings we have to plug x=150 and b=38.24 in our above equation which is in form of y=m(x)+b

y=0.24(x)+b

y=0.24(150)+38.24=74.24\approx 75 degrees Fahrenheit.

Finally we have :

Temperature 74.24 degrees Fahrenheit.

With variables x = Chirps and  y = Degrees

y-intercept = 38.24 and

slope = 0.24

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