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sertanlavr [38]
3 years ago
10

Richie and bethany play basketball and practice shooting free throws after school. During one practice session, Richie attempted

15 free throws and made 12 of them.
a. bethany made eight free throws for every 3 that she missed. Did bethany do better than richie? how do you know.
Mathematics
1 answer:
mamaluj [8]3 years ago
5 0

Answer:

<em>Bethany did not do better than Richie because her average score was less than his.</em>

Step-by-step explanation:

<u>Average Value</u>

The average or mean value of m successes out of n tries is given by:

\displaystyle \bar x=\frac{m}{n}

During a practice session playing basketball, Richie made m=12 free throws from n=15 attempts. His average score was:

\displaystyle \bar x=\frac{12}{15}=0.8

Bethany made 8 free throws for every 3 that she missed, this means she made 8 out of 11 attempts. Her average score was:

\displaystyle \bar x=\frac{8}{11}=0.72

Bethany did not do better than Richie because her average score was less than his.

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Answer:

C. (-7x+60)(x+4)

Step-by-step explanation:

Consider the expression -7x^2+32x+240.

First, note that

a=-7\\ \\b=32\\ \\c=240

Find the discriminant

D=b^2-4ac=32^2-4\cdot (-7)\cdot 240=1,024+6,720=7,744\\ \\\sqrt{D}=\sqrt{7,744}=88

Now,

x_1=\dfrac{-b+\sqrt{D}}{2a}=\dfrac{-32+88}{2\cdot (-7)}=-4\\ \\x_2=\dfrac{-b-\sqrt{D}}{2a}=\dfrac{-32-88}{2\cdot (-7)}=\dfrac{60}{7}

Write the factored form:

-7x^2+32x+240=-7(x-(-4))\left(x-\dfrac{60}{7}\right)=(x+4)(-7x+60)

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Please help if you understand!! I hope everyone has a great day or is having a great day​
Monica [59]

Answer:

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Secondly, notice that the triangle on the right side is a right triangle. One of its angle's measurements are also given; 40 degrees. If you know that the sum of a triangle's angles equal 180 degrees, then simply subtract the known angles measurements from 180.

180-(90+40)=  180-130=50.

Therefore, the vertical angles measurement is equivalent to 50 degrees.

Apply the principle of the sum of all angles in a triangle equivalent to 180 degrees to the left triangle, and you will be able to find the measurement of the "?" angle.

180-(50+25)= 180-75=105

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I hope you are having a great day too;)!

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