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3 years ago

Tell me which lines are parallel to each other. -6x + 2y = 8; y = 4; y = 3x; y = 3

Mathematics

1 answer:

Sloan [31]3 years ago

6 0

Answer: -6x+2y=8 and y=3x

Step-by-step explanation:

they must have the same slope to be parallel and when you convert -6x+2y=8 into y=mx+b it is y=3x+4

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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.

8 0

3 years ago

For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has an even sum of digits: 3 + 4

n200080 [17]

Answer:

there are 425 numbers of three digits whose the sum of the digits is even.

Step-by-step explanation:

Option 1:

It is necessary to accomplish one of the next conditions:

(1) all of the digits are even.

(2) exactly 2 of the digits are odd

Then, for the first condition:

4x5x5 = 100 -> this is because the first digit can not be 0.

for the second condition:

(3C1)*5*5*5-1*5*5 =3*125-25=350

where 3C1 is a combination. The 3C1 determines which of the three digits is even, and it is necessary to subtract the numbers under 100 with the other 2 digits odd.

So, there are 450 numbers of three digits whose the sum of the digits is even.

Option 2:

there are 900 three digit number and 5*5*5 =125 has 3 odd numbers and 5*5*5+4*5*5+4*5*5=325 has 1 odd number, so there are 450 numbers of three digits whose the sum of the digitis is odd, so 900-450 whose the sum of the digits is even.

4 0

3 years ago

How are you?(￣ω￣;)（＾～＾）

Trava [24]

Great
= ^-^

Meow meow chicken

5 0

3 years ago

Suppose the value of a car depreciates 8% every year. To the nearest dollar, what will a car that cost $23,995 be worth after 5

Vanyuwa [196]

Answer:

The car will worth $15815 after 5 years.

Step-by-step explanation: