The first jump in a unicycle high-jump contest is shown. The bar is raised 2 centimeters after each jump. Solve the inequality 2

Danielle sells beauty supplies and earns a base salary of $450 per week plus a 9% commission on sales. During one particular wee

babunello [11817]

Hello Angela, after that we will be able to proceed to payment during checkout, and the other aspect is

5 0

1 month ago

You have 80 pieces of fabric to make a wall hanging. Each piece of fabric is a square with a side length of 5 inches. You use as

tester [12383]

The area would amount to 25

and we could create 3 squares. This would leave 75

5 inches remaining.

8 0

1 month ago

Read 2 more answers

Subtract 25.45 from 51.82. Give your answer to 2 decimal places.

PIT_PIT [12445]

Answer:

The result is 26.4

Step-by-step explanation:

By taking 51.82 and subtracting 26.37, you arrive at 26.45, and when rounding this value to one decimal place, it becomes 26.4.

4 0

3 months ago

Pete is conducting a survey to determine his customers’ overall satisfaction about the quality of his company’s products. He sen

AnnZ [12381]

No.
In order to conduct an analysis like this one, it is essential to select a RANDOM SAMPLE from the entire POPULATION involved in the study. For instance, Pete is attempting to gauge the overall satisfaction of his customers, therefore, he should distribute the surveys to a randomly chosen group of customers rather than only targeting those who have bought the most items. Doing so will yield results that are more REPRESENTATIVE of the overall customer satisfaction. If he limits the surveys to those customers who have purchased the most, he is likely to see inflated satisfaction levels, which would not truly reflect the general sentiment of all customers.

8 0

3 months ago

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Suppose the time interval between two consecutive defective light bulbs from a production line has a uniform distribution over a

lawyer [12517]

Answer:

a) The average of the time interval is 45 minutes.

b) There is a 27.78% chance that the time gap between two successive defective light bulbs will lie between 10 and 35 minutes.

c) The standard deviation for the time duration is 25.98 minutes.

d) There is an 11.11% likelihood that the time interval between two successive defective light bulbs will be under 10 minutes.

Step-by-step explanation:

A uniform probability situation occurs when all outcomes have an equal chance of happening.

In this context, we identify a lower and upper limit for the distribution known as 'a' and 'b', respectively.

The likelihood of finding a value X that is less than x is determined by this formula.

$P(X < x) = \frac{x - a}{b-a}$

The likelihood of obtaining a value X that lies between c and d is expressed as:

$P(c \leq X \leq d) = \frac{d-c}{b-a}$

The average of the uniform distribution is:

$M = \frac{a+b}{2}$

The standard deviation of the uniform distribution can be calculated as:

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

The uniform distribution covers an interval from 0 to 90 minutes.

This indicates that $a = 0, b = 90$

a) What is the mean of the time interval?

$M = \frac{a+b}{2} = \frac{0 + 90}{2} = 45$

The mean of the time interval is 45 minutes.

b) What is the probability that the time gap between two consecutive defective light bulbs will be between 10 and 35 minutes?

$P(10 \leq X \leq 35) = \frac{35-10}{90-0} = 0.2778$

There is a 27.78% chance that the time interval between two successive defective light bulbs falls between 10 and 35 minutes.

c) What is the standard deviation of the time interval?

$S = \sqrt{\frac{(90-0)^{2}}{12}} = 25.98$

The standard deviation of the time interval is 25.98 minutes.

d) What is the probability that the time interval between two consecutive defective light bulbs will be less than 10 minutes?

$P(X < 10) = \frac{10 - 0}{90 - 0} = 0.1111$

There is an 11.11% likelihood that the time duration between two consecutive defective light bulbs will be shorter than 10 minutes.

8 0

2 months ago