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Firlakuza [10]
1 year ago
11

10 gallons of gasoline costs $30. The cost of gasoline per gallon is

Mathematics
2 answers:
Evgesh-ka [11]1 year ago
8 0

Answer:

The cost per gallon is $3.

Step-by-step explanation:

10 = $30

1 = x

Cross multiply

$30*1 = 10*x

Divide through by 10

($30*1)/10 = (10*x)/ 10

($30*1)/10 = (10*x)/10

$30/10 = 10x/10

$3 = x

x= $3

Kipish [7]1 year ago
4 0

Answer:

10kahbsbdnieknababavaysisiee

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Jack’s first weight increased by 20% and then his new weight decreased by 25%. His final weight is what percent of his beginning
ElenaW [278]

Lets suppose his initial weight was 60 kilograms

A gain of 20%  would make his new eight  60 + 20*60/100

=  60 + 12

= 72 kg

he lost 25% of this:-

= 72 -   25 * 72/100 =  54 kg

This = (54/60) * 100  = 90% of his beginning weight  Answer


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Is 0.2775 a rational number
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2 years ago
A programmer plans to develop a new software system. In planning for the operating system that he will​ use, he needs to estimat
erma4kov [3.2K]

Answer:

a) n = 9604

b) n = 381

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

90% confidence level

So \alpha = 0.1, z is the value of Z that has a pvalue of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

a. Assume that nothing is known about the percentage of computers with new operating systems. n = ?

When we do not know the proportion, we use \pi = 0.5, which is when we are going to need the largest sample size.

The sample size is n when M = 0.01.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 1.96\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 1.96*0.5

\sqrt{n} = \frac{1.96*0.5}{0.01}

(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.01})^{2}

n = 9604

b. Assume that a recent survey suggests that 99% of computers use a new operating system. n = ?

Now we have that \pi = 0.99. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 1.96\sqrt{\frac{0.99*0.01}{n}}

0.01\sqrt{n} = 1.96*\sqrt{0.99*0.01}

\sqrt{n} = \frac{1.96*\sqrt{0.99*0.01}}{0.01}

(\sqrt{n})^{2} = (\frac{1.96*\sqrt{0.99*0.01}}{0.01})^{2}

n = 380.3

Rouding up

n = 381

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7x_=(7x4)+(7x3) how do I solve this
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Easy 7x3 is first then 7x4 then         7x5=7x_
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