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lisabon 2012 [21]
2 years ago
8

A car travels 180 miles in 4 hours. Find the car’s speed in feet per minute. (There are 5,280 ft in 1 mile)

Mathematics
1 answer:
FinnZ [79.3K]2 years ago
4 0

Given :

Distance travelled , d = 180 miles.

Time taken , t = 4 hours.

To Find :

Speed in feet per minutes.

Solution :

Distance in feet is , d = 180×5280 = 950400 feet.

Time taken , t = 4×60 = 240 minutes.

Speed is given by , s=\dfrac{Distance}{Time \ Taken}

S=\dfrac{950400}{240}\ ft/min\\\\S=3960\ ft/min

Hence, this is the required solution.

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If f(x) = (xm + 9)2, which statement about f(x) is true?
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Answer:

The correct statement for the given function is:

f(x) is an even function for all even values of m.

Step-by-step explanation:

The correct statement for the given function is:

f(x) is an even function for all even values of m.

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Alenkinab [10]

Answer:

The sample consisting of 64 data values would give a greater precision.

Step-by-step explanation:

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So, from the formula of the width of the interval it is clear that the width is inversely proportion to the sample size (<em>n</em>).

That is, as the sample size increases the interval width would decrease and as the sample size decreases the interval width would increase.

Here it is provided that two different samples will be taken from the same population of test scores and a 95% confidence interval will be constructed for each sample to estimate the population mean.

The two sample sizes are:

<em>n</em>₁ = 25

<em>n</em>₂ = 64

The 95% confidence interval constructed using the sample of 64 values will have a smaller width than the the one constructed using the sample of 25 values.

Width for n = 25:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{25}}=\frac{1}{5}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]        

Width for n = 64:

\text{Width}=2\cdot z_{\alpha/2}\cdot \frac{\sigma}{\sqrt{64}}=\frac{1}{8}\cdot [2\cdot z_{\alpha/2}\cdot \sigma]

Thus, the sample consisting of 64 data values would give a greater precision

5 0
2 years ago
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Dylan scored a total of 48 points in first 4 games of the basketball season. Which equation can be used to find g, the average n
belka [17]
G= 48/4???? that would make sense wouldn't it? because 48/4 would be the total number of points divided by the amount of games in which those points are scored. 

3 0
2 years ago
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The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =y equals Start
const2013 [10]

Answer:

y = \frac{1}{5}x

Step-by-step explanation:

Given

Yearly Cost for members; y = \frac{1}{10}x + 6

Required

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From the question, we understand that:

<em>A non member pays $0.20 for each game;</em>

Yearly cost is then calculated as thus;

y = Amount * Number of Games

Where:

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y = \frac{1}{5} * x

y = \frac{1}{5}x

<em>Hence, the yearly cost for non members is </em>

y = \frac{1}{5}x

6 0
2 years ago
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