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3 years ago

Evaluate m( m + n) - n, use m = 5 and n = -3

Mathematics

2 answers:

notsponge [240]3 years ago

8 0

Answer:

B. 13

Step-by-step explanation:

replace variables

5(5-3)+3

distribute

5(2)+3

multiply

10+3

add

Alona [7]3 years ago

4 0

Answer:

m (m + n) - n

= 5 (5+(-3)) - (-3)

= 5 (5-3) + 3

= 5 x 2 + 3

= 10+3

= 13

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Please answer this !!!!

likoan [24]

The answer is B.
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3 years ago

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A large on-demand, video streaming company is designing a large-scale survey to determine the mean amount of time corporate exec

Firdavs [7]

Answer:

554 executives should be surveyed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

Now, we have to find z in the Z-table as such z has a p-value of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

Standard deviation of 3 hours.

This means that $\sigma = 3$

The 95% level of confidence is to be used. How many executives should be surveyed?

n executives should be surveyed, and n is found with $M = 0.25$ . So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.25 = 1.96\frac{3}{\sqrt{n}}$

$0.25\sqrt{n} = 1.96*3$

$\sqrt{n} = \frac{1.96*3}{0.25}$

$(\sqrt{n})^2 = (\frac{1.96*3}{0.25})^2$

$n = 553.2$

Rounding up:

554 executives should be surveyed.

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3 years ago

Work out the area of the trapezium ABDE. B 9 cm 6 cm 8 cm →D E

Evgen [1.6K]

Answer:

Area of the trapezium ABDE = 30 cm²

Step-by-step explanation:

Area of a trapezium = $\frac{1}{2}(b_1+b_2)h$

Here, $b_1$ and $b_2$ are the parallel sides of the trapezium

h = Distance between the parallel sides

From the picture attached,

ΔCAE and ΔCBD are the similar triangles.

So by the property of similarity their sides will be proportional.

$\frac{AE}{BD}= \frac{CE}{CD}$

$\frac{9}{6}=\frac{CE}{8}$

CE = $\frac{9\times 8}{6}$

CE = 12 cm

Therefore, DE = CE - CD

DE = 12 - 8 = 4 cm

Now area of trapezium ABDE = $\frac{1}{2}(AE+BD)(DE)$

= $\frac{1}{2}(6+9)4$

= 30 cm²

Therefore, area of the trapezium ABDE = 30 cm²

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3 years ago

1500= 5n- 300 Solve the equation for n . Show work.

quester [9]

Answer: 360 = n

Step-by-step explanation:

1500= 5n - 300

+300 +300

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1800/5

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3 years ago

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Please help me!!! :(

I am Lyosha [343]

Answer:

280

Step-by-step explanation:

7*5*4*2=280

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3 years ago