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3 years ago

The data shown on the scatter plot below demonstrates the relationship between the time of day and the total number

Mathematics

1 answer:

viva [34]3 years ago

6 0

Answer:

Good question! The correct answer is a) increases and b) increases.

While the pair of answers a) decreases and b) decreases or the pair a) stays the same and b) stays the same would be technically correct answers, this is the best way of describing the trend of the scatter plot; typically, trends are described by how the dependent or y-variable responds to the independent or x-variable increasing.

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Marlo uses 252 lb of gravel to cover a garden plot of 36 ft2. How many pounds of gravel does it take to cover one square foot? H

irakobra [83]

The area and the amount of gravel are illustrations of proportions.

7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.

The given parameters are:

$252\ lb= 36ft^2$

The number of pound for an area of 1 square foot is calculated as follows:

$x = 1ft^2$

So, we have:

$x = 1ft^2$

$252\ lb= 36ft^2$

Cross multiply

$x \times 36 = 252 \times 1$

Divide both sides by 36

$x = 7lb$

The area to be covered with 315lb gravel is calculated as follows:

$315lb = y$

So, we have:

$315lb = y$

$252\ lb= 36ft^2$

Cross multiply

$y \times 252 = 36 \times 315$

$y \times 252 = 11340$

Divide both sides by 252

$y = 45$

Hence, 7 lb will cover an area of 1 square foot, while 315 lb will cover an area of 45 square feet.

Read more about proportions at:

brainly.com/question/13114933

6 0

3 years ago

A large electronic office product contains 2000 electronic components. Assume that the probability that each component operates

KIM [24]

Answer:

The probability is 0.971032

Step-by-step explanation:

The variable that says the number of components that fail during the useful life of the product follows a binomial distribution.

The Binomial distribution apply when we have n identical and independent events with a probability p of success and a probability 1-p of not success. Then, the probability that x of the n events are success is given by:

$P(x)=\frac{n!}{x!(n-x)!}*p^{x}*(1-p)^{n-x}$

In this case, we have 2000 electronics components with a probability 0.005 of fail during the useful life of the product and a probability 0.995 that each component operates without failure during the useful life of the product. Then, the probability that x components of the 2000 fail is:

$P(x)=\frac{2000!}{x!(2000-x)!}*0.005^{x}*(0.995)^{2000-x}$ (eq. 1)

So, the probability that 5 or more of the original 2000 components fail during the useful life of the product is:

P(x ≥ 5) = P(5) + P(6) + ... + P(1999) + P(2000)

We can also calculated that as:

P(x ≥ 5) = 1 - P(x ≤ 4)

Where P(x ≤ 4) = P(0) + P(1) + P(2) + P(3) + P(4)

Then, if we calculate every probability using eq. 1, we get:

P(x ≤ 4) = 0.000044 + 0.000445 + 0.002235 + 0.007479 + 0.018765

P(x ≤ 4) = 0.028968

Finally, P(x ≥ 5) is:

P(x ≥ 5) = 1 - 0.028968

P(x ≥ 5) = 0.971032

3 0

3 years ago

Chuck is making a poster about polyhedrons for his math class. He will draw figures and organize them in different sections of t

Nezavi [6.7K]

I think no, because a pyramid's lateral face is a triangle, and he can only draw a prism if it's rectangular

5 0

4 years ago

Explain determination ......??

kolezko [41]

Determination is your will power of doing something. Someone who is determined has the firmness of purpose and the resolve to achieve a goal.

Synonyms:

resolution, resolve, resoluteness, character.

Antonyms:

weak-mindedness, pusillanimity.

3 0

3 years ago

Read 2 more answers

For a fundraiser, the seventh grade class sells 45 submarine sandwiches. They collect a total of $150.75. What is the cost per s

mr Goodwill [35]

Answer: $3.35 each

Step-by-step explanation:

$150.75 divided by 45= $3.35