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KengaRu [80]
2 years ago
5

If a recipe for 24 cookies needs 2 cups of flour, how many cups would we need to make 42 cookies?

Mathematics
1 answer:
TEA [102]2 years ago
6 0

Answer:

3 1/2 cups

Step-by-step explanation:

24=2

42=x

24x=84

/24   /24

3.5

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6
Nady [450]

Answer:

$200

y=25x+50

Step-by-step explanation:

y=25(6)+50

y=150+50

y=200

5 0
3 years ago
Read 2 more answers
The expression shown can be used to calculate the amount of money in dollars a grocery store customer should receive in change w
pychu [463]

Answer:

50-(14+12+2(5)+2(2)+3)

50-(26+10+4+3)

50-43

7

Step-by-step explanation:

Hope this Helps

8 0
3 years ago
Read 2 more answers
A very large batch of parts (assume a normal distrbution0 from a manufacturer has a mean weight = 43g and a standard deviation =
AVprozaik [17]

Answer:

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Percentage of parts with weights exceeding 45g?

1 subtracted by the pvalue of Z when X = 45. So

We have \mu = 43, \sigma = 4

Z = \frac{X - \mu}{\sigma}

Z = \frac{45 - 43}{4}

Z = 0.5

Z = 0.5 has a pvalue of 0.6915

1 - 0.6915 = 0.3075

If you slect 16 parts at random form that batch, what is the probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g?

This is P(X = 8) when n = 16, p = 0.3075. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 8) = C_{16,8}.(0.3075)^{8}.(0.6915)^{8} = 0.0544

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

4 0
3 years ago
What is the value of x in the equation 4x + 8y = 40, when y = 0.8?
kherson [118]
You would substitute 0.8 in for y and to get the equation 4x+8(0.8)=40. Then, you would simplify and get 4x+6.4=40. Next you would isolate x by subtracting 6.4 from both sides and get the equation 4x=33.6 and then you would divide both sides by 4 to get x=8.4.

The answer is : x=8.4

7 0
3 years ago
The original price of a jacket is $75 , you have a 25% off coupon, how much will you pay for the jacket
Damm [24]

Answer:

18.75

Step-by-step explanation:

75 is the 100% price. If you divide 75 by two you will get the 50% price. Which is 37.5. If you divide that by two you will get the 25% price which is 18.75

4 0
3 years ago
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