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

Answer 1

Answer:

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 2

Answer:

Answer:

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

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You scored 18 out of the 60 points scored by your team. What percent of your team's points did you score?70%

3%

18%

30%

Answers

if you do cross multiplication you would get
60x=1800
x=30 to be exact so the answer is choice d

Answer:

The answer is D. 30 %

hope this helps :)

Express 17.28 as a mixed number.

Answers

17.28
= 17+ 0.28
= 17+ 28/100
= 17+ (28/4) / (100/4)
= 17+ 7/25
= 17 7/25

The final answer is 17 7/25~

Since 0.28 extends to the hundredths place, your mixed number starts off as 17 28/100.
Simplify 28/100 to 7/25.
Now, your mixed number is 17 7/25.

What is the area of the triangle in the figure

Answers

The first leg is 4, the second leg is 6. Area= 4*6/2 = 24/2= 12
Your answer is 12mm^2

Logic geometry. Ah, textbooks.

Flip dat triangle!

Turn in onto its base.

My Geometry teacher used to say, "My students, ahh. Textbooks. They say, 'My pretty little students, here's a formula! I will give you numbers and you plug it in.' Then he would say, 'I don't like textbooks. I'm a rebel! So, I derive the formula.'" He made us derive it. But the formula is this: 1/2 x b x h. Why? The real formula is because two equal triangles are both HALF of a parallelogram, and a parallelogram has formula b x h. So it's 1/2 x b x h.

With that in mind, let's find the height first. Onwards!!

12 mm. What can we do with it? Oh, we know the rectangle has 8 mm!! 12 mm - 8 mm is 4 mm! The height is 4 mm. Onwards to the base!!

Hey, what do we know? The rectangle has length 10 mm. A part of it is 4 mm!! So, what's 10 mm - 4 mm? 6 mm. We got it!!

Plug in the formula!!

1/2 x 4 x 6 is????????

12.

And don't forget the mm!!

Can someone help me with this

Answers

Answer:

(1, 3)

Step-by-step explanation:

Origin is the point (0,0) on the graph.

Distance between 2 points=

$\sqrt{ {(x1 - x2)}^(2) + (y1 - y2)^(2) }$

Hence using the formula above,

$\sqrt{ {(x1 - 0)}^(2) + (y1 - 0)^(2) } = √(10) \n (x1) ^(2) + {(y1)}^(2) = 10$

1) subst. x₂=0, y₂=0 and distance = √10

2) simplify expression and square both sides

So the answer could be any point in which the sum of the square of the x coordinate and the square of the y coordinate equals to 10.

When x₁= 1,

1² + (y₁)²= 10

1+ (y₁)² = 10

(y₁)²= 10 -1

(y₁)²= 9

y₁= ± √9

y₁= 3 or y₁= -3

Thus, the other point could be (1 ,3).

An equation is shown below...4c+2c=4c+11/2

What value of 2c makes the equation true.

Answers

Answer:

c = 11/4

Step-by-step explanation:

One way of doing this is to let 2c = x. Then our equation becomes

2x + x = 2x + 11/2, or x = 11/2.

But 11/2 = 2c. Thus, c = 11/4

What is 584 1/4 minus 18 3/4? Please show work!

Answers

584 1/4 minus 18 3/4 equals 565 1/2

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