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iragen [17]
3 years ago
5

What is the unit rate of y = 2/3x ? ( must satisfy the definition of unit rate )

Mathematics
1 answer:
Nat2105 [25]3 years ago
7 0
The unit rate is 2/3 because in the line y=2/3x, 2/3 is the slope (y=mx+b). The slope of the line is pretty much the definition of a unit rate because the unit rate is a constant addition or subtraction over and over. In addition, it is a straight line(y=mx+b) and the values are going up at a constant rate of 2/3.
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Find the critical value zα/2 that corresponds to a 98% confidence level.
SVETLANKA909090 [29]

A critical value is the point on the scale of the test statistic (z test in this case) outside which we reject the null hypothesis, and is taken from the level of significance of the test. The critical values can be obtained from the standard distribution tables for z and for this case, it is equivalent to:

critical value zα/2 at 98% confidence level = 2.326

Answer: 2.326

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4 0
2 years ago
Mason Painting Services has a weekly payroll of $28,000. December 31 falls on Wednesday and Mason will pay its employees the fol
Inga [223]

28000 / 5 days = $5,600 per day

Wednesday, Thursday, Friday = 3 days.

5,600 x 3 days = $16,800

The amount should be $16,800

7 0
2 years ago
Yesterday noah ran 2 1/2 miles in 3/5 hour. Emily ran 3 3/4 miles in 5/6 hour. Anna ran 3 1/2 miles in 3/4 hour how fast in mile
Dmitry_Shevchenko [17]

Answer:

Step-by-step explanation:

To calculate the speed of each one we proceed as follows:

speed=distance/time

a] Noah's speed:

distance=2.5 miles

time=3/5 hours

speed=(2 1/2)/(3/5)

=(5/2)/(3/5)

=5/2×5/3

=25/6

=4 1/6 mi/hr

Emily's speed

distance=3 3/4 miles

time=5/6 hour

thus

speed=(3 3/4)/(5/6)

=15/4)/(5/6)

=15/4×6/5

=4 1/2 mi/hr

Anna's speed:

distance=3 1/3 miles

time=3/5

speed=(3 1/3)/(3/5

=(10/3)/(3/5)

=10/3×5/3

=5 5/9 mi/hr

Anna was the fastest

6 0
2 years ago
Read 2 more answers
Find the value of (-4)(6)(-7)<br> -178<br> 168<br> 178<br> -168
kakasveta [241]

<u><em>Answer:</em></u>

168

<u><em>Explanation:</em></u>

<u>Before we begin, remember the following:</u>

+ve * +ve = +ve                     -ve * -ve = +ve

+ve * -ve = -ve                       -ve * +ve = +ve

<u>Now, for the given problem we have:</u>

(-4) * (6) * (-7)

<u>Let's take the first two terms:</u>

(-4) * (6)

Based on the above rules, the product will be negative

<u>Therefore, </u>

(-4) * (6) = -24

<u>Now, the expression became:</u>

(-24) * (-7)

Again, based on the above rule, the product here will be positive

<u>Therefore,</u>

(-24) * (-7) = 168

Hope this helps :)

4 0
3 years ago
Read 2 more answers
Paige used 1 1/2 cups of flour and 1/4 of butter to make 12 muffins. How much flour and butter would Paige need for 18 muffins?
maks197457 [2]

Answer:

3/4 cup

Step-by-step explanation:

12 divided by 2 is 6

18 - 12 = 6

we are going to need half of 1 1/2 cup of flour

1 cup = 1/2

1/2 cup = 1/4

1/2 and 1/4 cup = 3/4 cup

6 0
2 years ago
Read 2 more answers
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