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Luden [163]
2 years ago
7

Val has 3/4 gallon of milk. He gives 1/2 of it to a friend. How many gallons of milk does Val have left

Mathematics
1 answer:
Murljashka [212]2 years ago
8 0

Step-by-step explanation:

given, ¾-½= ¼gallon milk.

hope this helps you.

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A train that travels 30 miles in 1/3 hour at a constant speed is going faster than a train that travels 20 miles in 1/2 hour at
alexdok [17]

Answer:

The train going 30 miles in 1/3 hour is going faster than the other train.

Step-by-step explanation:

Calculate each rate by dividing the distance traveled by the amount of time it takes to cover that distance:

30 / (1/3) = 90 mph

20 / (1/2) = 40 mph

7 0
3 years ago
A bottle of soft drink is two thirds full. Jack drinks one quarter of the remaining soft drink. How full is the bottle now
marusya05 [52]

We know that the bottle of soft drink has a remaining volume which is 2 / 3 of the original.

Since Jack drank 1 / 4 of the remaining volume, hence only 3 / 4 now finally remains, the total is:

 

(2 / 3) * (3 / 4) = 6 / 12 = 1 / 2

 

<span>Hence the bottle is now one half full</span>

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3 years ago
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Find the distance between points A and B, round the answer to the nearest hundredth
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4 0
2 years ago
Use the null hypothesis H0 : μ = 98.6, alternative hypothesis Ha: μ &lt; 98.6, and level of significance α = 0.05. 98 99.6 97.8
andrezito [222]

Answer:

The t-score is -1.8432    

Step-by-step explanation:

We are given the following in the question:  

98, 99.6, 97.8, 97.6, 98.7, 98.4, 98.9, 97.1, 99.2, 97.4, 99.1, 96.9, 98.8, 99.9, 96.8, 97, 98.7, 97.6, 98.7, 98.2

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{1964.4}{20} = 98.22

Sum of squares of differences = 16.152

s = \sqrt{\dfrac{16.152}{49}} = 0.922

Population mean, μ = 98.6

Sample mean, \bar{x} = 98.22

Sample size, n = 20

Sample standard deviation, s = 0.922

First, we design the null and the alternate hypothesis

H_{0}: \mu = 98.6\\H_A: \mu < 98.6

Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{98.22 - 98.6}{\frac{0.922}{\sqrt{20}} } = -1.8432

The t-score is -1.8432    

7 0
3 years ago
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