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Oksanka [162]
3 years ago
5

HELP PLEASE 30 points

Mathematics
1 answer:
Tcecarenko [31]3 years ago
4 0

Answer: <3, <6, <8

Step-by-step explanation:

Trust me

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The answer is D neither because its 
(3,2)
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If x=-2, y=-6 and z=4, Find the value of 4xy 3marks
Readme [11.4K]

Answer:

Step-by-step explanation:

4xy=4*(-2)*(-6)

4xy=48

8 0
3 years ago
An office manager has implemented an incentive plan that she thinks will reduce the mean time required to handle a customer comp
Mandarinka [93]

Answer:

Step-by-step explanation:

a)The point estimate is the same as the sample mean. Therefore, the point estimate of the mean time required to handle a customer complaint is 28.7 minutes

b) The standard deviation of the point estimate given in (a) is 3 minutes

c) Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Since the sample size is large and the population standard deviation is known, we would use the following formula and determine the z score from the normal distribution table.

Margin of error = z × σ/√n

Where

s = sample standard deviation = 3

n = number of samples = 38

From the information given, the population standard deviation is unknown hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 38 - 1 = 37

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.0262

Margin of error = 2.0262 × 3/√38

= 0.99

the lower limit of this confidence interval is

28.7 - 0.99 = 27.71

the upper limit of this confidence interval is

28.7 + 0.99 = 29.69

Therefore, we are 95% confident that the true mean time for handling a complaint is between 27.71 minutes and 29.69 minutes

d) We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

µ = 150

For the alternative hypothesis,

µ < 30

This is a left tailed test

Since the population standard deviation is not given, the distribution is a student's t.

Degrees of freedom, df = n - 1 = 38 - 1 = 37

t = (x - µ)/(s/√n)

Where

x = sample mean = 28.7

µ = population mean = 30

s = samples standard deviation = 3

t = (28.7 - 30)/(3/√38) = - 2.67

We would determine the p value using the t test calculator. It becomes

p = 0.0056

Since alpha, 0.05 > than the p value, 0.0056, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed sufficient evidence that the incentive plan has reduced the mean time to handle a complaint.

7 0
3 years ago
Ally makes a rectangle with 45 square inch tiles. She arranges the tiles in 5 equal rows. How many square inch tiles are in each
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Ally would have to have 9 tiles in each row. You have to divide 45 divided by 5 because you have a certain amount. For the picture, Create 5 rows, and then but 9 squares for the tiles in each row. If you count out your tiles, you will get a total of 45.
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If it is not April 17th, then it is not Matt's birthday. What is the inverse of the original conditional statement?
Korolek [52]
<span>If it is Matt's birthday then it is April 17th</span>
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