MATHEMATICS MIDDLE SCHOOL

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Answers

Answer 1

Answer:

Answer:

B. 36

Step-by-step explanation:

6 + 30

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Answers

Answer:

-4z - 11z + 2z - -6z =7

z= -1

Step-by-step explanation:

I hope this helps!

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Answer:

z=-1

Step-by-step explanation:

First combine the like terms: -4z-11z+2z-(-6z)=-4z-11z+2z+6z=-15z+8z=-7z

Then solve after combining like terms:

$(-7z)/(-7) =(7)/(-7)$

$z=-1$

A line with slope 3 passes through the points( 5,2)and (9,y) Find y

Answers

The ormula of a slope:

$m=(y_2-y_1)/(x_2-x_1)$

We have the points (5, 2) and (9, y) and the slope m = 3.

Substitute:

$(y-2)/(9-5)=3\n\n(y-2)/(4)=3\qquad\text{multiply both sides by 4}\n\ny-2=12\qquad\text{add 2 to both sides}\n\n\boxed{y=14}$

There are three colored cookie jars. One jar is blue, another green and the last one pink. The blue jar contains 10 chocolate chip and 7 sugar cookies. The green jar contains 8 chocolate chip, 14 sugar and 11 peanut butter cookies. The pink jar contains 6 chocolate chip, 5 sugar and 9 peanut butter cookies. One of the three cookie jars is chosen at random. The probabilities that the blue jar, green jar, or pink jar will be chosen are 1⁄2 , 1⁄4 , and 1⁄4 , respectively. A cookie is then chosen at random from the chosen jar. What is the probability that the pink jar was chosen, if it is known that the cookie was a sugar cookie?

Answers

The probability that the pink jar was chosen, when it is known that the cookie was a sugar cookie is 0.167..

What is Bayes' theorem?

Suppose that there are two events A and B. Then suppose the conditional probability are:

P(A|B) = probability of occurrence of A given B has already occurred.

P(B|A) = probability of occurrence of B given A has already occurred.

There are three colored cookie jars. One jar is blue, another green and the last one pink.

The blue jar contains 10 chocolate chip and 7 sugar cookies.
The green jar contains 8 chocolate chip, 14 sugar and 11 peanut butter cookies.
The pink jar contains 6 chocolate chip, 5 sugar and 9 peanut butter cookies.

Thus the probability of chossing sugar is,

$P=(1)/(2)*(7)/(17)+(1)/(4)*(17)/(33)+(1)/(4)*(5)/(20)$

One of the three cookie jars is chosen at random. The probabilities that the blue jar, green jar, or pink jar will be chosen are 1⁄2 , 1⁄4 , and 1⁄4 , respectively.

Thus the probability for pink jar was chosen, when it is known that the cookie was a sugar cookie is,

$\rm P=(P(pink\cap sugar))/(P(sugar))\n\rm P=(P(sugar| pink)P(Pink))/(P(sugar))$

Put the values,

$P=((1)/(4)*(5)/(20))/((1)/(2)*(7)/(17)+(1)/(4)*(17)/(33)+(1)/(4)*(5)/(20))\nP=0.167$

Thus, the probability that the pink jar was chosen, when it is known that the cookie was a sugar cookie is 0.167.

Learn more about the Bayes' theorem here;

brainly.com/question/13750253

Answer:

Pr(pink jar will be selected)=6/11

A gallon has a volume of 231 cubic inches. If a gallon of milk was sold im a perfectly cubical container, to the nearest tenth of an inch how high would the container be? A. 6 inches

B. 6.1 inches

C. 6.2 inches

D. 6.3 inches