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2 years ago

Steven Kellogg, a jet airplane mechanic, works at an hourly rate of

Mathematics

1 answer:

lozanna [386]2 years ago

3 0

Answer:

Part a) The straight-time pay is $\$1,332$

Part b) The overtime pay is $\$432$

Part c) The total pay is $\\$1,764$

Step-by-step explanation:

Part a) What is his straight-time pay?

To find out his straight-time pay multiply the hourly rate of $36 by 37 hours worked

$(36)(37)=\$1,332$

Part b) What is his overtime pay?

we know that

The hourly rate for overtime is equal to

$(1.5)(36)=\$54$

Multiply the hourly rate for overtime by the number of hours overtime

$(54)(8)=\$432$

Part c) What is his total pay?

we know that

The total pay is equal to sum the straight-time pay plus the overtime pay

$\$1,332+\$432=\$1,764$

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To determine what students at a school would be willing to do to help address global warming, researchers take a random sample o

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Answer:

(ai) The correct answer is the first option; The amount of tax the student is willing to add to a gallon of gasoline.

(aii) The correct answer is the last option; Whether the student believes that global warming is a serious issue or not.

(b) The correct answer is the first option; two-sample t interval

Step-by-step explanation:

A response variable in statistics is the idea or concept of needs to be proven right or wrong. It remains a response variable until it has been proven.

An explanatory variable simply means an independent variable. It doesn't depend on any other variable and at the same time, it can be manipulated.

In construct a 95% confidence interval to compare the two groups, two-sample t test is the appropriate t test to use.

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2 years ago

1. Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1,

zzz [600]

Answer:

Step-by-step explanation:

Given that Miguel is playing a game

The box contains 4 chips, 2 with number 1, and other two differntly numbered as 3 and 5.

OUt of these 4, 2 chips are drawn

P(drawing same number) = 2C2/4C2 = $\frac{1}{6}$

Prob (drawing differnt numbers) = 1-1/6 = $\frac{5}{6}$

Hence prob of winning 2 dollars = $\frac{1}{6}$

Prob of losing 1 dollar = $\frac{5}{6}$

b) Expected value = sum of prob x amount won

= $\frac{1}{6}2+\frac{5}{6}(-1)=-\frac{1}{2}$

c) Miguel can expect to lose 1/2 dollars for every game he plays

d) If it is to be a fair game expected value =0

i.e. let the amount assigned be s

Then $\frac{1}{6}s-\frac{5}{6}=0\\s=5$

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1 year ago

Read 2 more answers

Consider the graph of f(x) given below.

Andrej [43]

Answer: d

Step-by-step explanation:

7 0

2 years ago

Which equation is the inverse of y = 16x2 + 1? y = plus-or-minus StartRoot StartFraction x Over 16 EndFraction minus 1 EndRoot y

kifflom [539]

Answer:

The inverse is ±sqrt((x-1))/ 4

Step-by-step explanation:

y = 16x^2 + 1

To find the inverse, exchange x and y

x = 16 y^2 +1

Then solve for y

Subtract 1

x-1 = 16 y^2

Divide by 16

(x-1)/16 = y^2

Take the square root of each side

±sqrt((x-1)/16) = sqrt(y^2)

±sqrt((x-1))/ sqrt(16) = y

±sqrt((x-1))/ 4 = y

The inverse is ±sqrt((x-1))/ 4

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2 years ago

Determine the t critical value(s) that will capture the desired t-curve area in each of the following cases. (Assume that centra

Triss [41]

Answer:

Step-by-step explanation:

a) this involves 2 tails

The critical value is determined from the t distribution table.

α = 1 - 0.95 = 0.05

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

Looking at 0.975 with df 10

The critical value is 2.228

b) α = 1 - 0.95 = 0.05

1 - α/2 = 1 - 0.05/2 = 1 - 0.025 = 0.975

Looking at 0.975 with df 20

The critical value is 2.086

c) α = 1 - 0.99 = 0.01

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

Looking at 0.995 with df 20

The critical value is 2.845

d) α = 1 - 0.99 = 0.01

1 - α/2 = 1 - 0.01/2 = 1 - 0.005 = 0.995

Looking at 0.995 with df 60

The critical value is 2.660

e) 1 - α = 1 - 0.01 = 0.99

Looking at 0.99 with df 10

The critical value is 2.764

f) 1 - α = 1 - 0.025 = 0.975

Looking at 0.975 with df 5

The critical value is 2.571

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2 years ago