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White raven [17]
3 years ago
6

Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​ eleven, respective

ly.
233five

11000two

43Etwelve
Mathematics
1 answer:
kifflom [539]3 years ago
5 0
233 base five = 2 x 5^2 + 3 x 5 + 3 x 1 = 2 x 25 + 15 + 3 = 50 + 18 = 68 base 10

11000 base two = 1 x 2^4 + 1 x 2^3 = 16 + 8 = 24 base ten

43E base twelve = 4 x 12^2 + 3 x 12 + 11 x 1 = 4 x 144 + 36 + 11 = 576 + 47 = 623 base ten
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The number of entrees purchased in a single order at a Noodles & Company restaurant has had an historical average of 1.35 en
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Answer:

a) 0.3571

b) The p-value is 0.362007.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 1.35

Sample mean, \bar{x} = 1.4

Sample size, n = 26

Alpha, α = 0.01

Sample standard deviation, s = 0.7

First, we design the null and the alternate hypothesis

H_{0}: \mu = 1.35\text{ entrees per order}\\H_A: \mu > 1.35\text{ entrees per order}

We use One-tailed t test to perform this hypothesis.

a) Formula:

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n-1}} }

Putting all the values, we have

t_{stat} = \displaystyle\frac{1.4 - 1.35}{\frac{0.7}{\sqrt{25}} } = 0.3571

b) The p-value at t-statistic 0.3571 and degree of freedom 25 is 0.362007.

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3 years ago
Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 99 people
sertanlavr [38]

Answer:

The probability of getting someone in the 18-21 age bracket or someone who agreed to respond = 0.365

Step-by-step explanation:

The counts are as follows  

Age Group  No of people contacted No of refusals      Total  

18-21               88                                  8                       96

22-29              240                                  42                       282

Total              328                                  50                       378

 

The probability of getting some one in the age bracket of 18-21 or some one who refused to respond is

= \frac{96}{378} + \frac{50}{378} - \frac{8}{378} \\= \frac{96+50-8}{378} \\= \frac{138}{378} \\= 0.365

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