Kasey has 8 packages of gelatin. She plans to fill molds that each take 1 1/3 packages of gelatin.Each mold can be divided into 6 servings. How many servings of gelatin can Kasey make?

Answers

Answer 1
Answer:

Answer:

multiply 1 1/3 by 8x6 and see how many packages


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Based on a Comcast​ survey, there is a 0.8 probability that a randomly selected adult will watch​ prime-time TV​ live, instead of​ online, on​ DVR, etc. Assume that seven adults are randomly selected. Find the probability that fewer than three of the selected adults watch​ prime-time live.

Answers

Answer: Our required probability is 0.004672.

Step-by-step explanation:

Since we have given that

Number of adults = 7

Probability of getting adult will watch prime time TV live = 0.8

We need to find the probability that fewer than 3 of the selected adults watch prime time live.

We will use "Binomial Distribution":

here, n = 7

p = 0.8

So, P(X<3)=P(X=0)+P(X=1)+P(X=2)

So, it becomes,

P(X=0)=(1-0.8)^7=0.2^7=0.0000128

P(X=1)=^7C_1(0.8)(0.2)^6=0.0003584\n\nP(X=2)=^7C_2(0.8)^2(0.2)^5=0.0043

So, probability that fewer than 3 of the selected adult watch prime time live is given by

0.0000128+0.0003584+0.0043=0.004672

Hence, our required probability is 0.004672.

Final answer:

This problem relates to the binomial distribution and requires us to find the sum of binomial probabilities for 0, 1, and 2 successes (adults watching live TV) out of seven trials (the seven randomly selected adults).

Explanation:

This question is utilizing the concept of binomial distribution. The probability of a randomly selected adult watching prime-time TV live is 0.8. We want to find the probability that fewer than 3 out of 7 randomly selected adults watch prime-time live.

We find this by adding up the probabilities for 0, 1, and 2 adults watching live TV using the binomial distribution formula: P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k)), where C(n, k) denotes the number of combinations of n items taken k at a time, p is the probability of success, and n is the number of trials.

We get:

  • P(X=0) = C(7, 0) * (0.8^0) * ((1-0.8)^(7-0))
  • P(X=1) = C(7, 1) * (0.8^1) * ((1-0.8)^(7-1))
  • P(X=2) = C(7, 2) * (0.8^2) * ((1-0.8)^(7-2))

Adding these up will give the total probability that fewer than three adults out of seven watch prime-time live.

Learn more about Binomial Distribution here:

brainly.com/question/33656163

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Please help please please help

Answers

X=1

3*4=12
x*4=4

Or

12/4=3
4/4=1

Answer:

x=1

Step-by-step explanation:

i did it

Barker and Associates specialize in corporate law. They charge $125 an hour for researching a case, $80 an hour for consultations, and $250 an hour for writing a brief. Last week one of the attorneys spent 8 hours consulting with her client, 12 hours researching the case, and 15 hours writing the brief. What was the weighted mean hourly charge for her legal services

Answers

Answer:

Weighted mean hourly charge = $168.28 (Approx)

Given:

Charge for research = $125 per hour

Charge for consultations = $80 per hour

Charge for writing a brief = $250 per hour

Research work = 12 hour

Consultations = 8 hour

Writing = 15 hour

Computation:

Total hours = 12 + 8 + 15 = 35 hours

Total charge for researching = $125 × 12 = $1,500

Total charge for consulting = $80 × 8 = $640

Total charge for writing = $250 × 15 = $3,750

Total charge = $5,890

Weighted mean hourly charge = 5890 / 35

Weighted mean hourly charge = $168.28 (Approx)

A relation includes the coordinate (3,3). What other coordinate must be included in the relation if it is even?

Answers

let's not forget that when a relation is "even" f(-x) = f(x), or namely any negative of "x" yields the same result as any positive one.

if this relation is "even" and has (3 , 3), where x = 3, then if we were to plug f(-3) we should get a result or y-value of the same 3, giving us a point of (-3 , 3).

At the zoo there were 5 times as many tigers as lion Tom counted a total of 54 tigers and lions how many.tigers were there?

Answers

Answer:

5x=54

Step-by-step explanation:

5x=54

divide 5 by both sides

x=10.8

sorry if I am wrong but I tried my best

the larger angle of two complementary angles is four times as large of the smaller angle find the measurement of the smaller angle

Answers

The answer is: 18° .
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Explanation:
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x + 4x = 90 ; solve for "x"
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 5x = 90 ;
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 Divide EACH SIDE of the equation by "5"; to isolate "x" on one side of the equation; and to solve for "x" ;
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  5x / 5 = 90 / 5 ;
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       x = 18  ;   The answer is: 18° .
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