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3 years ago

7. When running you discover you are only in second place. You were initially running at a speed of 18 km/h and

Mathematics

2 answers:

ankoles [38]3 years ago

7 0

Step-by-step explanation:

check it out.

Hope it helps.

omeli [17]3 years ago

3 0

Hope you understood this. If not plz let me know.

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I have a stamp collection. 70% of my stamps are Canadian and 30% are international. I have 500 more Canadian stamps than interna

shutvik [7]

Answer: N= 375, C= 875

Step-by-step explanation: Let Canadian stamps=C

Let International stamps=N

C=875 and N=375

C - 500=N, .70(N + C) =C

Solve the following system:

{C-500 = N | (equation 1)

0.7 (C+N) = C | (equation 2)

Express the system in standard form:

{-N+C = 500 | (equation 1)

0.7 N-0.3 C = 0 | (equation 2)

Add 0.7 × (equation 1) to equation 2:

{-N+C = 500 | (equation 1)

0 N+0.4 C = 350 | (equation 2)

Divide equation 2 by 0.4:

{-N+C = 500 | (equation 1)

0. N+C = 875. | (equation 2)

Subtract equation 2 from equation 1:

{-N+0 C = -375. | (equation 1)

0 N+C = 875. | (equation 2)

Multiply equation 1 by -1:

{N+0 C = 375. | (equation 1)

0 N+C = 875. | (equation 2)

Collect results:

Answer: | N = 375 and C=875

3 0

2 years ago

What is the domain of the square root function graphed below?

lesya [120]

Answer:

$x \geqslant 0$

Option D is the right option.

Explanation:

Observe from the graph that the value of X starts at X=0 and the graph is going to the right infinitely.

So the domain of the function should be:

$x \geqslant 0$

Hope this helps...

Good luck on your assignment..

4 0

3 years ago

A sample was taken of the salaries of four employees from a large company. the following are their salaries, in thousands of dol

Free_Kalibri [48]

For given sample of salaries of four employees, the variance of their salaries is: 26 thousands of dollars

The formula for the variance is,

$S^2=\frac{\sum (x_i - \bar{x})^2}{n-1}$

where,

$S^2$ = sample variance

$x_i$ = the value of the one observation

$\bar{x}$ = the mean value of all observations

n = the number of observations

For given question,

n = 4

First we find the mean of their salaries.

(33 + 31 + 24 + 36 ) / 4 = 31

So, $\bar{x}=31$

Using the formula for variance ,

$S^2=\frac{(33-31)^2}{4-1}+\frac{(31-31)^2}{4-1}+\frac{(24-31)^2}{4-1}+\frac{(36-31)^2}{4-1}\\\\ S^2=\frac{4}{3} + \frac{0}{3} + \frac{49}{3} + \frac{25}{3} \\\\S^2= \frac{4+49+25}{3}\\\\S^2=\frac{78}{3} \\\\S^2=26$