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3 years ago

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).

Mathematics

1 answer:

Svetlanka [38]3 years ago

3 0

Answer:

The line equation is y = 1.5x + 3

Fill the first space with '1.5' and the second with '3'

Step-by-step explanation:

The generic model for a line equation is:

y = ax + b

To find the parameters 'a' and 'b', we can use two points of the graph in the equation.

Using the point (0, 3), we have:

3 = 0*a + b

b = 3

Using the point (-2, 0) and the value of b above, we have:

0 = -2*a + b

2a = 3

a = 1.5

So the line equation is y = 1.5x + 3

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Keith as 11/12 hours to play, he has already played 1/4. which is the best estimate of the fractional part of an hour he has lef

____ [38]

Answer:

The best estimate is greater than 1/2 but less than 3/4

Step-by-step explanation:

If you multiply 1/4 by 3/3 (which is also 1), you can change the denominator without changing the value. So 1/4 is equal to 3/12.

Since keith has 11/12 hours to play, and he has already played 3/12 hours, subtract 3/12 from 11/12 to get 8/12 hours. This is how much time he has left to play.

If you simplify 8/12 hours, you get 2/3 hours.

So the best estimate would be: greater than 1/2 but less than 3/4.

4 0

3 years ago

1. John earns $10 per hour for any work up to 40 hours. For any time over 40 in a week, he receives 1.5 times his normal pay. Ho

yanalaym [24]

Answer:

1. 520

2. 568.125

Step-by-step explanation:

10 per 40 hours + 1.5 overtime

1.5 overtime = 10(1.5) = 15

10 (40) + 15 (8)

= 400 + 120

= 520

11.25 per 40 hours + 1.5 overtime

1.5 overtime = 11.25(1.5) = 16.875

11.25 (40) + 16.875 (7)

= 450 + 118.125

= 568.125

8 0

1 year ago

Plsss help me no links

Sindrei [870]

Answer:

D) 42.16

Total: $553.13

Step-by-step explanation:

Multiply the subtotal, 510.97, by 8.25%. To do that just turn the 8.25% into a decimal which is 0.0825. The answer to that would be 42.155025 and rounded it would be 42.16 so the tax would be $42.16.

The total to the entire thing would be $553.13 since you just add the tax and subtotal together.

8 0

3 years ago

Read 2 more answers

A forester studying the effects of fertilization on certain pine forests in the Southeast is interested in estimating the averag

ahrayia [7]

Answer:

$P(-2 \leq \bar X -\mu \leq 2)$

If we divide both sides by $\frac{\sigma}{\sqrt{n}}$ we got:

$P(\frac{-2}{\frac{4}{\sqrt{9}}}\leq Z \leq \frac{2}{\frac{4}{\sqrt{9}}})$

And we can use the normal distribution table or excel to find the probabilites and we got:

$P(-1.5 \leq Z \leq 1.5)= P(Z$ Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the area of a population, and for this case we know the distribution for X is given by:

$X \sim N(M,4)$