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Colt1911 [192]
3 years ago
13

One half gallon is equivalent to 4 pints.how many gallons are the equivalent of 72 pints

Mathematics
1 answer:
malfutka [58]3 years ago
5 0

Answer: 9 gallons

<u>Step-by-step explanation:</u>

Set up the proportion, then multiply to solve for the variable.

\dfrac{\frac{1}{2}\ \text{gallon}}{4\ \text{pints}}=\dfrac{x}{72\ \text{pints}}

(72\ \text{pints})\dfrac{\frac{1}{2}\ \text{gallon}}{4\ \text{pints}}=(72\ \text{pints)}\dfrac{x}{72\ \text{pints}}

\dfrac{36\ \text{gallons}}{4}=x}

9 gallons = x

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Two pitchers, Jerry and Louis, want to find out who has the faster pitch when compared to each of their teams. Jerry has a speed
saul85 [17]

Answer:

Louis has faster pitch when compared to each of their teams.

Step-by-step explanation:

We have two pitchers which we need to compare to each of their teams.

To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.

For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.

We can calculate the z-score for Jerry speed as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{86-93}{3}=\dfrac{-7}{3}= -2.333

The proportion of players that are below Jerry speed is approximated by the standard normal distribution:

p=\Phi(z

For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.

We can calculate the z-score for Jerry speed as:

z=\dfrac{X-\mu}{\sigma}=\dfrac{84-89}{3.5}=\dfrac{-5}{3.5}= -1.429

The proportion of players that are below Louis speed is approximated by the standard normal distribution:

p=\Phi(z

As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.

6 0
3 years ago
Simplify y^-3 <br><br> a.3/y<br> b.1/y^3<br> c.-3y<br> d.-1/y^3
nignag [31]

Answer:

b. \frac{1}{y^3}

Step-by-step explanation:

Here we are given  y^{-3} and are asked to simplify it. We are going to apply the law of exponents which says that

a^{-n}=\frac{1}{a^n}

Hence applying this rule in our problem we get, where a=y and n=3

y^{-3}=\frac{1}{y^3}

Hence our C) Option is correct

3 0
3 years ago
Find the size of each of the angles marked with letter​​
GuDViN [60]

Answer:

angle l = 115

angle k = 115

angle j = 114

angle i = 66

Step-by-step explanation:

angle l = it is opposite to 115 so its the same

angle k = opposite opposing angles with angle l

angle j = 180-66=114 (between 2 parallel lines the sum of 2 angles is 180)

andle i = 180-114=66 (straight line = 180 degrees so subtract angle j to get i)

4 0
1 year ago
Find the value of 5.8 ÷ 1.2.
EastWind [94]
Your answer is 4.83
5 0
2 years ago
Ruth has 6 chores to do. If each chore does not depend on the others, in how many different orders could she do the chores?
Mice21 [21]
First chore, 6 to choose from.
Second chore, 5 to choose from.
Third chore, 4 to choose from.
Fourth chore, 3 to choose from.
Fifth chore, 2 to choose from.
Sixth chore, 1 to "choose" from.
The total number of orders possible is the product
6*5*4*3*2*1=6!=720
3 0
3 years ago
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