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vovangra [49]
2 years ago
7

(03.02 HC)Amy, Dan, and Mike are competing in a cooking competition. They all used different amounts of milk from a container ho

lding 6 gallons of milk. Amy used 13% of the total milk in the container. Dan used 0.14 of the total milk in the container. Mike used 0.5 gallon of the total milk in the container. Who used the greatest amount of milk from the container? Show your work and explain your answer in words.
Mathematics
2 answers:
jok3333 [9.3K]2 years ago
8 0
Mike used 1/2 gallon which is .5 of a gallon
Amy used 13% of 6 gallons which is .13 * 6 = .78 of a gallon
Dan used 14% of 6 gallons which is .14 * 6 = .84 of a gallon

Dan used the most amount of milk.
ivolga24 [154]2 years ago
4 0
Mike used the most milk because .5 is 50%  which is 3 gallons out of the container dan used 14% of the milk and amy used 13% which means amy used the least and mike used the most.

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Choose the option that best completes the statement below. In finding the number of permutations for a given number of items, __
vodomira [7]
Let’s look at the permutations of the letters “ABC.” We can write the letters in any of the following ways:
ABC
ACB
BAC
BCA
CBA
CAB
Since there are 3 choices for the first spot, two for the next and 1 for the last we end up with (3)(2)(1) = 6 permutations. Using the symbolism of permutations we have: 3 P_{3}=(3)(2)(1)=6. Note that the first 3 should also be small and low like the second one but I couldn’t get that to look right.

Now let’s see how this changes if the letters are AAB. Since the two As are identical, we end up with fewer permutations.
AAB
ABA
BAA
To make the point a bit better let’s think of one A are regular and one as bold A.
A
BA and ABA look different now because we used bold for one of the As but if we don’t do this we see that these are actual the same. If they represented a word they would be the same exact word.

So in this case the formula would be \frac{3 P_{3} }{2!}= \frac{(3)(2)(1)}{(2)(1)}= \frac{6}{2}=3. We use 2! In the denominator because there are 2 repeating letters. If there were three we would use 3!


Hopefully, this is enough to let you see that the answer is A. The number of permutations is limited by the number of items that are identical.



7 0
2 years ago
While her husband spent 2½ hours picking out new speakers, a statistician decided to determine whether the percent of men who en
sveticcg [70]

Answer:

Men can be concluded to enjoy shopping electronic activity more than women, but in weekend days. The case might not hold true for week working days also.

Step-by-step explanation:

To study :  whether the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy that.

  • Out of 67 men, 24 said they enjoyed the activity

So, % of men enjoying the activity  = (24 / 67) x 100

= 35.82%

Out of 24 women, 8 said that they enjoyed the activity

So, % of women enjoying the activity = (8 / 24) x 100

= 33.33%

4 0
2 years ago
An electric guitar costs $830, with a $225 full-replacement warranty. If the manufacturer sells 532,475 warranties and has to ho
melomori [17]

If 532,475 warranties were given, it means that 532,475 warranties were sold. The gross profit should be, 532,475 * $830 = $441954250. But then, this would still be subtracted with 12% of the warranties since they gave it back to the customers. Hence,

Profit = $441954250 – 0.12(532,475)($225)

Profit = $427,577,425

3 0
2 years ago
Read 2 more answers
Trisomy 18 (T18) is a rare genetic disorder that severely disrupts a baby's development prior to birth. Many die before birth an
Evgesh-ka [11]

Answer:

3.74% probability that her baby has T18

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

P(B|A) = \frac{P(B)*P(A|B)}{P(A)}

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test.

Event B: The baby having T18.

T18 occurs in only 1 in 2500 pregnancies in the U.S.

This means that P(B) = \frac{1}{2500} = 0.0004

The probability of a positive test result for a baby with T18 is 0.97.

This means that P(A|B) = 0.97

The overall probability of a positive test result is 0.010384.

This means that P(A) = 0.010384

What is the probability that her baby has T18

P(B|A) = \frac{0.0004*0.97}{0.010384} = 0.0374

3.74% probability that her baby has T18

5 0
2 years ago
the price of gravel is $24 for every 3/8 ton. Kate wants to know the price of 2 tons of gravel. at that rate, what is the price
andreev551 [17]

Answer:

<h2>$128</h2>

Step-by-step explanation:

This problem is on rate.

firstly we have to find the rate at which 1 ton is sold

given that 3/8 ton is sold for $24

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X = 24/3/8

inverse the denominator and multiply the result with the numerator we have

X= 24*8/3

X= $64

Now having found out that 1 ton cost $64

2 tons will cost =64*2

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Therefore at this rate two tons will cost $128

3 0
2 years ago
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