Given: PKHE - inscribed, m∠E=120°,

Leonora is factoring a trinomial. The factors of the trinomial are shown on the model. An algebra tile configuration. 7 tiles ar

Keith_Richards [23]

Leanora is factoring in Amacher the factors of the thermometer are shown in the elevator 3+3 = 7 4+4 equalsTake away 100 and then +3 that gives you 6 billion in 2/3+6+4+3+8+9 that gives you a BCDEFGHIJK jelly jelly jelly diaper

6 0

2 years ago

A team of 10 players is to be selected from a class of 6 girls and 7 boys. Match each scenario to its probability. You have to d

tankabanditka [31]

The selection of r objects out of n is done in

$C(n, r)= \frac{n!}{r!(n-r)!}$ many ways.

The total number of selections 10 that we can make from 6+7=13 students is

$C(13,10)= \frac{13!}{3!(10)!}= \frac{13*12*11*10!}{3*2*1*10!}= \frac{13*12*11}{3*2}= 286$
thus, the sample space of the experiment is 286

A.
"The probability that a randomly chosen team includes all 6 girls in the class."

total number of group of 10 which include all girls is C(7, 4), because the girls are fixed, and the remaining 4 is to be completed from the 7 boys, which can be done in C(7, 4) many ways.

 $C(7, 4)= \frac{7!}{4!3!}= \frac{7*6*5*4!}{4!*3*2*1}= \frac{7*6*5}{3*2}=35$

P(all 6 girls chosen)=35/286=0.12

B.
"The probability that a randomly chosen team has 3 girls and 7 boys."

with the same logic as in A, the number of groups were all 7 boys are in, is

 $C(6, 3)= \frac{6!}{3!3!}= \frac{6*5*4*3!}{3!3!}= \frac{6*5*4}{3*2*1}=20$

so the probability is 20/286=0.07

C.
"The probability that a randomly chosen team has either 4 or 6 boys."

case 1: the team has 4 boys and 6 girls

this was already calculated in part A, it is 0.12.

case 2, the team has 6 boys and 4 girls.

there C(7, 6)*C(6, 4) ,many ways of doing this, because any selection of the boys which can be done in C(7, 6) ways, can be combined with any selection of the girls.

 $C(7, 6)*C(6, 4)= \frac{7!}{6!1}* \frac{6!}{4!2!} =7*15= 105$

the probability is 105/286=0.367

since case 1 and case 2 are disjoint, that is either one or the other happen, then we add the probabilities:

0.12+0.367=0.487 (approximately = 0.49)

D.
"The probability that a randomly chosen team has 5 girls and 5 boys."

selecting 5 boys and 5 girls can be done in

 $C(7, 5)*C(6,5)= \frac{7!}{5!2} * \frac{6!}{5!1}=21*6=126$

many ways,

so the probability is 126/286=0.44

6 0

2 years ago

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Ranger was given this expression to simplify. 4(2x – 5) What advice to simplify the expression would you give Ranger? Check all

solniwko [45]

This is an example of a distribution property. In a distribution property, the number outside the parenthesis is distributed to all the terms inside it by multiplication. So the answer here is:

The 4 will be multiplied to each term inside the parentheses.

5 0

2 years ago

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If a school policy maker wanted to learn what expectations must be met to receive funding from H.R.5, what titles would that per

lukranit [14]

I'm definite about a b c

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2 years ago

The right arrow symbol used to show the transition from a point to its image after a transformation is not contained within the

Bumek [7]

Given: