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tamaranim1 [39]
3 years ago
14

A 4 1/2 pound bag of raisins must be divided equally into 1/4 pound portions for a cooking class. Enter the number of 1/4 pound

portions that can be made from 4 1/2 pounds of raisins. ​
Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

18

Step-by-step explanation:

  • 1/4 x 4 1/2 = 18

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The volume of a cone is 88π cubic feet. Its height is 8 feet. Fatima is finding the radius of the cone. Her work is shown below.
Kisachek [45]
To evaluate the radius of the cone we proceed as follows:
V=1/3 πr²h
plugging in the values, v=88π, h=8 ft
step 1
88π1/3πr²(8)
step 2
88π=8/3πr²
step 3
 divide both sides by π
88=8/3r²
multiply both sides by 3/(8)
88(3/8)=r²
step 4
simplify
33=r²
step 5 
get the square root
r=√33

Thus the mistake that Fatima made was:
<span> In step 3, Fatima did not multiply 88 by the reciprocal of 8/3 </span>
9 0
3 years ago
Read 2 more answers
Huilan is 9 years younger than Thomas. The sum of their ages is 85. What is Thomas's age?
Naya [18.7K]

Answer:

Step-by-step explanation:

                                                                                                                        thomas age is 47

4 0
3 years ago
Read 2 more answers
Could someone help me out?​
Brums [2.3K]

Answer:

y = 120°

Step-by-step explanation:

y = 120° because opposite angles of two intersecting lines are equal

7 0
2 years ago
Johnny needs to save $24.00 to buy a new video game. Three weeks after saving, he has $6.00. After 6 weeks, he has $12.00. If Jo
Mrrafil [7]
He will need to save up for 12 weeks because he is getting 2 dollars a week.
It says after 3 weeks he saved 6, so divide six by three and the answer meaning he makes 2 a week. Next divide 24 by 2 and you get 12.
4 0
3 years ago
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The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of
SCORPION-xisa [38]

Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

Problems of normally distributed samples can be 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.

In this problem, we have that:

\mu = 20.8, \sigma = 4.5

a) Find the probability that in a given year there will be less than 21 earthquakes.

This is the pvalue of Z when X = 21. So

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

Z = \frac{21 - 20.8}{4.5}

Z = 0.04

Z = 0.04 has a pvalue of 0.5160.

So there is a 51.60% probability that in a given year there will be less than 21 earthquakes.

b) Find the probability that in a given year there will be between 18 and 23 earthquakes.

This is the pvalue of Z when X = 23 subtracted by the pvalue of Z when X = 18. So:

X = 23

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

Z = \frac{23 - 20.8}{4.5}

Z = 0.71

Z = 0.71 has a pvalue of 0.7611

X = 18

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

Z = \frac{18 - 20.8}{4.5}

Z = -0.62

Z = -0.62 has a pvalue of 0.2676

So there is a 0.7611 - 0.2676 = 0.4935 = 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

5 0
3 years ago
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