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Aloiza [94]
4 years ago
10

How much bigger is 1 1/4 than 5/8

Mathematics
1 answer:
meriva4 years ago
7 0
1 \frac{1}{4} is twice as big or \frac{5}{8} bigger than \frac{5}{8}

To figure this out, we need to change this mixed number (1 \frac{1}{4}) to have the same denominator as \frac{5}{8}

So, we already know that \frac{8}{8} is equal to 1, so al we have to do is change the \frac{1}{4} to \frac{?}{8}

To find that out we just see how we get from 4 to 8 (multiply by 2), so all we do is multiply the 1 by 2 and we get 2 for our numerator. So, \frac{1}{4} =  \frac{2}{8}

Now we add the \frac{8}{8} to the \frac{2}{8} and we get \frac{10}{8} which is \frac{5}{8} bigger or twice as much as \frac{5}{8} since we have to multiply by 2 to get the 5 to a 10 as the numerator.

I hope this helped!! :))
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A car company claims that its new car, the GoFast2000, has a gas mileage of 35 miles per gallon ( mpg ). A consumer group suspec
I am Lyosha [343]

Answer:

<em>H₀</em>: <em>μ</em> = 35 mpg vs. <em>Hₐ</em>: <em>μ</em> < 35 mpg.

A <em>t</em>-test statistic should be used.

The company's claim is correct.

The true mean gas mileage of the new cars is 35 mpg.

Step-by-step explanation:

The consumer group can perform a test for single mean to determine whether the is less than 35 mpg or not.

The hypothesis can be defined as follows:

<em>H₀</em>: The true mean gas mileage of the new cars is 35 mpg, i.e. <em>μ</em> = 35 mpg.

<em>Hₐ</em>: The true mean gas mileage of the new cars is less than 35 mpg, i.e. <em>μ</em> < 35 mpg.

The information provided is:

<em>n</em> = 50

\bar x = 34.8 mpg

As there is no information abut the population standard deviation then we would have to compute the sample standard deviation to estimate the value of <em>σ</em>.

Since the sample standard deviation will be used, a <em>t</em> test statistic would have to be computed.

The test statistic is given by:

t=\frac{\bar x-\mu}{s/\sqrt{n}}

Assumptions for one sample <em>t</em>-test are:

  • Independent samples
  • The population is normally distributed
  • The sample size should be large enough to make the assumption of normality.

The significance level of the test is, <em>α</em> = 0.05.

The <em>p</em>-value of the test is 0.324.

The decision rule based on <em>p</em>-value is that the null hypothesis will be rejected if the <em>p</em>-value is less than the level of significance and vice-versa.

The <em>p</em>-value = 0.324 > <em>α</em> = 0.05.

As the <em>p</em>-value is more than the significance level the null hypothesis will not be rejected.

Thus, concluding that the company's claim is correct.

The true mean gas mileage of the new cars is 35 mpg.

6 0
3 years ago
You buy a new computer for $1,500. The value of the computer decreases by 6%
Naya [18.7K]

Answer:

$1171.05

Step-by-step explanation:

1500 × (1-(6 / 100))⁴

5 0
3 years ago
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Dafna1 [17]
Y = mx + b ; where m is the slope and b is the y-intercept.

A) y = -2x + 3/2 ; The slope is -2

For the system of equation to have no solution, they must form parallel lines. Parallel lines have the same slope. They don't intersect, thus, there is no solution.

<span>C.) m = –2 and b = -1/3
</span><span>F.) m = –2 and b = -2/3
</span>
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Answer:Its been 5 hours. so 85 - 82 = X. X times 0.6 = 5 then translate to 5 hours.

Step-by-step explanation:

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