11+2 to the 3rd power ×5 using PEMDAS?

2 answers:

8 0

11+2^3x5

You always start with parenthesis but there aren't any so you go to exponents. 2 to the third power is 2 x 2 x 2 which is 8. so now you will have 11+8x5. Next is either multiply or divide left to right. There's only multiplication so you have to multiple 8 x 5 which is 40. now all you're left with is 11 + 40. You have to add or subtract from left to right. Since, there's only adding, 11 + 40 = 51

allochka39001 [22]3 years ago

6 0

58 - its simple- Hope I helped :)

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The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is

saul85 [17]

Solution :

Given :

Sample mean, $\overline X = 34.2$

Sample size, n = 129

Sample standard deviation, s = 8.2

a. Since the population standard deviation is unknown, therefore, we use the t-distribution.

b. Now for 95% confidence level,

α = 0.05, α/2 = 0.025

From the t tables, T.INV.2T(α, degree of freedom), we find the t value as

t =T.INV.2T(0.05, 128) = 2.34

Taking the positive value of t, we get

Confidence interval is ,

$\overline X \pm t \times \frac{s}{\sqrt n}$

$34.2 \pm 2.34 \times \frac{8.2}{\sqrt {129}}$

(32.52, 35.8)

95% confidence interval is (32.52, 35.8)

So with $95 \%$ confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.

c. About $95 \%$ of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about $5 \%$ that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.