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Nana76 [90]
3 years ago
12

A certain number, formed of two digits is seven times the sum of its digits it is also 27 less than the number if formed by reve

rsing the digits.find the number
Mathematics
1 answer:
notsponge [240]3 years ago
7 0

Answer:

Step-by-step explanation:

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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
Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line
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Answer:

y=-x-4

Step-by-step explanation:

y-3=-1(x+1)

y=-x-1-3

y=-x-4

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3 years ago
Help me find the area please
TiliK225 [7]
9 x 3 = 27
27/9=3

12 x 3= 36
36/3=12
ANSWER: 36cm^2
5 0
3 years ago
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