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melomori [17]
3 years ago
14

How do you multiply fractions with a whole number

Mathematics
2 answers:
Allisa [31]3 years ago
5 0
You put the whole number on top of 1, it doesnt change its value. then you simplify across like in a butterfly only if needed then you multiply across from left to right.

Sergio [31]3 years ago
3 0
When multiplying fractions and whole numbers, you either turn the fraction into a decimal, or the whole number into a fraction.

For example, the solution for 2/5(8) can be found by turning 2/5 into a decimal (0.4) and multiplying that by 8, or by turning 8 into a fraction (8/1) and multiplying those together.
You will get 3.2 and 16/5. 16/5 can be simplified to be 3 1/5, or 3.2. As you can see, either method works and will give you the same answer.
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in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assu
antoniya [11.8K]

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7707

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

3 0
3 years ago
Simplify csc(-x) /1+tan^2(x)
ruslelena [56]
\frac{-x}{1+\tan^{2}(x)}=-\frac{\cos(x)^{2}}{\sin(x)}.
5 0
3 years ago
A quality control engineer at a potato chip company tests the bag filling machine by weighing bags of potato chips. Not every ba
Ahat [919]

Answer:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

Step-by-step explanation:

Information provided

n=100 represent the random sample taken

X=21 represent the number of bags overfilled

\hat p=\frac{21}{100}=0.21 estimated proportion of overfilled bags

p_o=0.15 is the value that we want to test

z would represent the statistic

Hypothesis

We need to conduct a hypothesis in order to test if the true proportion of overfilled bags is higher than 0.15.:  

Null hypothesis:p =0.7  

Alternative hypothesis:p > 0.15  

The statistic for this case is:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

And replacing the info given we got:

z=\frac{0.21 -0.15}{\sqrt{\frac{0.15(1-0.15)}{100}}}=1.68  

5 0
3 years ago
Anyone good at trigonometry?<br> I need a tutor or something cause I suck
SVEN [57.7K]

Answer:

I'll help if you need it.

Step-by-step explanation:

5 0
3 years ago
Can anybody answer this correctly thank you
Ghella [55]

its the second one....

4 0
3 years ago
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