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andrezito [222]
3 years ago
10

Evaluate −x+| y | when x=1/3 and y=−7/4. Write your answer as a fraction in simplest form.

Mathematics
1 answer:
Mama L [17]3 years ago
5 0

Answer: = \frac{17}{12}\quad \left(\mathrm{Decimal:\quad }\:1.41666\dots \right)

Step-by-step explanation:

-\frac{1}{3}+\left|-\frac{7}{4}\right|

=-\frac{1}{3}+\frac{7}{4}

=\frac{17}{12}

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Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed
vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 11-1 = 10.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have T = 1.812

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{4}{\sqrt{11}} = 1.2060

Now, we multiply T and s

M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

L = 97 + 2.19 = 99.19 = 99.2cm

So

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0
3 years ago
How to graph the line y=4/3x
ankoles [38]

Answer:

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Step-by-step explanation:

then plot using those values

3 0
3 years ago
Solve for f in the proportion.<br> 28/44 = F/99 F = ?
victus00 [196]

Answer:

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Step-by-step explanation:

28/44 = F/99

28/44 x 99 = F

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How many times smaller will a number become if is it decreased by 20%?
stealth61 [152]

Answer:

Step-by-step explanation:

I'm unsure why my answer was deleted, randomly deleted a thoroughly explained answer.

20% is 20/100, 1/5, or 0.2

The number will decrease by a factor of 5.

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3 years ago
When Ellen unpacked the dishes after her move from another state she found out that 3 out of 20 dishes were broken.What was the
Alina [70]

Answer:

3/20

Step-by-step explanation:

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