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Goryan [66]
3 years ago
7

Ou want to get an oil change every 4,000 miles. How many oil changes do you get in a year driving 1000 miles a month?

Mathematics
1 answer:
deff fn [24]3 years ago
5 0
3.

1000 miles per month.
12 months in a year.
1000 × 12 = 12000 miles per year

Oil change every 4000 miles.
12000 ÷ 4000 = 3

Therefore 3 oil changes per year.
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Find the remainder when x3 - 2x2 + x + 1 is divided by (x - 2).?​
Basile [38]
3/(x-2)

The answer is x^2+1+3/(x-2)

4 0
3 years ago
Find the x intercept(s) y= -x^2 + 2
VashaNatasha [74]

Answer:

(\pm \sqrt{2}, 0)

Step-by-step explanation:

The x intercepts are basically the points at which y = 0.

-x^2 + 2 = 0

-x^2 = -2

x^2 = 2

x = \pm \sqrt{2}

4 0
3 years ago
Read 2 more answers
An educational psychologist wishes to know the mean number of words a third grader can read per minute.
Rama09 [41]

Answer: 208.

Step-by-step explanation:

The formula to find the minimum sample size is given by :-

n= (\dfrac{z^*\times \sigma}{E})^2                                    (1)

, where z* = critical z-value (two tailed).                                                                      

\sigma = Standard deviation ( from prior study ) and E = Margin of error.

As per given , we have

Margin of error : E= 0.29

Confidence level = 85%

Significance level =\alpha=1-0.85=0.15

Using z-table , the critical value (two -tailed)=z^*=z_{\alpha/2}=z_{0.15/2}=z_{0.075}=1.439

As per previous study , Variance =\sigma^2=8.41

\sigma=\sqrt{8.41}=2.9

Now, the required minimum sample size = n= (\dfrac{(1.439)\times (2.9)}{0.29})^2   [Substitute the values in formula (1)]

n=(14.39)^2

n=207.0721\approx208  [ Round to the next integer]

Hence, the minimum number of third graders that must be included in a sample = 208.

5 0
4 years ago
The equation of a line is 5 x 2 y = 9. What is the slope of this line?
Artemon [7]
Equation of a line is given by y = mx + c; where m is the slope.

5x + 2y = 9
2y = 9 - 5x
y = -5/2 x + 9/2

Therefore, slope = -5/2
4 0
4 years ago
The velocity-time graph for a cycle is shown.
ivolga24 [154]

Answer:

a) 98m

b) 2m/s

Step-by-step explanation:

a) 2+4+6+8+10(8) = 98m

b) a = change/time = 8m/4s = 2m/s

not completely sure about a) so pls double check that <//3

good luck and hope this helped a bit!

3 0
4 years ago
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