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stiv31 [10]
3 years ago
6

Round 4....................................... i think

Mathematics
1 answer:
nadezda [96]3 years ago
6 0
Average rate of speed in miles per hour 
= 15 3/4 ÷ 2 1/4
= 63/4  ÷  9/4
= 63/4 × 4/9
= 63/9
= 7

Answer
7 mph
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Write the equation of a line that is parallel to 4x-2y=3 and is passing through the point (2,1)
Temka [501]

Answer:

y= 2x -3

Step-by-step explanation:

Let's rewrite the given equation into the form of y=mx+c, so that we can find the gradient of the line. In this form, m (coefficient of x) is the gradient.

4x -2y= 3

2y= 4x -3

<em>Divide</em><em> </em><em>by</em><em> </em><em>2</em><em> </em><em>throughout</em><em>:</em>

y = 2x - 1 \frac{1}{2}

Thus the gradient is 2.

Parallel lines have the same gradient thus the line would also have a gradient of 2.

Substitute m=2 into the equation:

y= 2x +c

To find the value of c, substitute a pair of coordinates.

When x=2, y=1,

1= 2(2) +c

1= 4 +c

c= 1 -4

c= -3

Thus, the equation of the line is y= 2x -3.

5 0
2 years ago
Herman saves 22% of his monthly paycheck so he can buy a new car. He earned $825 last month. How much money did Herman save for
djyliett [7]

Answer:$181.5

Step-by-step explanation:

8 0
3 years ago
The following probability distributions of job satisfaction scores for a sample of information systems (IS) senior executives an
Mashcka [7]

Answer:

Step-by-step explanation:

To calculate ;

1) the expected value of the job satisfaction score for senior executives ;

expected value = Summation (Px)

= 1 x 0.05 + 2 x 0.09 + 3 x 0.03 + 4 x 0.42 + 5 x 0.41

= 4.05

2) the expected value of the job satisfaction score for middle managers;

= 1 x 0.04 + 2 x 0.10 + 3 x 0.12 + 4 x 0.46 + 5 x 0.28

= 3.84

c) the variance of job satisfaction scores for executives and middle managers (to 2 decimals).

Executives ; Variance = Summation(PX^2 - Summation(PX)^2

i) For Executive Managers = 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2 = 1.246 = 1.25

ii) for middle managers ; 1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 = 1.134 = 1.13

d) the standard deviation of job satisfaction scores for both probability distributions (to 2 decimals). Executives, Middle managers;

For Executives = square root [ 1 x 0.05 + 2^2 x 0.09 + 3^2 x 0.03 + 4^2 x 0.42 + 5^2 x 0.41 - 4.05^2] = 1.12

For Middle Managers ; Square root [1 x 0.04 + 2^2 x 0.10 + 3^2 x 0.12 + 4^2 x 0.46 + 5^2 x 0.28 - 3.84^2 ] = 1.06

e) from the values gotten for the variance of both executive and middle managers, the variance of the former is more than that of the latter as such higher satisfaction with the executive managers.

5 0
3 years ago
Which property is shown by –8 • (4 + 3) = –8 • 4 + –8 • 3?
larisa86 [58]
<span> –8 • (4 + 3) = –8 • 4 + –8 • 3

answer

</span><span>• Distributive Property</span>
6 0
3 years ago
Read 2 more answers
There are 15 students going on a field trip. If 3/5 of them pack their lunches, how many students pack their lunches?
zmey [24]
3/5 × 15= 9
therefore 9 students packed lunch

brainliest please
6 0
3 years ago
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