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Citrus2011 [14]
3 years ago
14

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:

<em>The car will worth $15815 after 5 years.</em>

Step-by-step explanation:

The formula is:    A=P(1+r)^t, where P = Initial cost, A = Final cost,  r = Rate of change in cost per year and  t = Number of years.

Here, P= 23995, t= 5

and r= 8\%=0.08

As here the <u>value of the car depreciates every year, so we need to plug the value of r as negative</u>. So, r=-0.08

Now plugging the above values into the formula, we will get.....

A=23995(1-0.08)^5\\ \\ A=23995(0.92)^5\\ \\ A=15814.6611... \approx 15815

<em>(Rounded to the nearest dollar)</em>

So, the car will worth $15815 after 5 years.

8 0
3 years ago
A toddler is 36 inches tall and grows about 3 inches per year. Which of the following functions represents the toddler's height,
8_murik_8 [283]

Answer

I think the answer could be B

8 0
3 years ago
Read 2 more answers
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