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Bumek [7]
2 years ago
13

Help!!! il give brainlist​

Mathematics
1 answer:
Elden [556K]2 years ago
4 0

Answer:

Step below

Step-by-step explanation:

Line pass (-3 , 2) and slope = 4

y intercept  (b) = y - mx = 2 - 4*(-3) = 14

y intercept: (0 , 14)

equation: y = 4x + 14

Any point on this line could be answer. x=1, y=18 (1,18) (2,22), (3,26) .....

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Evaluate C(44,21) use scientific notation, round to 3 decimal places as needed.
STALIN [3.7K]
C(44,21)=\dfrac{44!}{21!23!}=\dfrac{24\cdot25\cdot\ldots\cdot43\cdot44}{2\cdot3\cdot\ldots\cdot 20\cdot21}=2,012,616,400,080\\
\approx2.013\cdot10^{12}
6 0
3 years ago
When Noah goes bowling, his scores are normally distributed with a mean of 150 and a standard deviation of 12. What is the proba
Zarrin [17]

Answer:

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

Step-by-step explanation:

Given that:

Mean = μ = 150

SD = σ = 12

Let x1 be the first data point and x2 the second data point

We have to find the z-scores for both data points

x1 = 135

x2 = 167

So,

z_1 = \frac{x_1-mean}{SD}\\= \frac{135-150}{12}\\=\frac{-15}{12}\\=-1.25

And

z_2 = \frac{x_2-mean}{SD}\\z_2 =\frac{167-150}{12}\\=\frac{17}{12}\\= {1.416}

We have to find area to the left of both points then their difference to find the probability.

So,

Area to the left of z1 = 0.1056

Area to the left of z2 = 0.9207

Probability to score between 135 and 167 = z2-z1 = 0.9027-0.1056 = 0.8151

Hence,

The probability of his score being between 135 and 167 is 0.8151 or (0.8151*100=81.51%)

3 0
3 years ago
A benefit of earning an hourly wage instead of a salary is
musickatia [10]

Answer:

B. if you produce more items, you are paid more

Step-by-step explanation:

Hourly wages are significantly less paid wages than salary, however, hourly wages are benefit for those worker who are getting higher hourly wages and they are doing consistent overtime work. As Hourly wages are paid on the number of hours worker work, where number hours and production matter a lot for getting higher wages, however, salary are paid even for non working hours. Hourly wages are beneficial for employer in terms of cost of worker and productivity.

4 0
3 years ago
Read 2 more answers
If one face of a cube has a surface area of 5.25 square meters, what is the surface area of the entire cube
natali 33 [55]

Answer:

11.25

Step-by-step explanation:

if a cube has 6 equal sides, you want to multiply 5.25 by 6 to get the surface area for the entire cube.

6 0
3 years ago
In 2 years, you want to have $5000 in your savings account. Find the amount you should deposit if the account pays 3% annual int
muminat

The amount you should deposit is $4709.18

Step-by-step explanation:

The formula for compound interest, including principal sum is

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount
  • r is the annual interest rate in decimal
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ You want to have $5000 in your savings account in 2 years

∴ A = 5000

∴ t = 2

∵ The account pays 3% annual interest, compounded monthly

∴ r = 3% = 3 ÷ 100 = 0.03

∴ n = 12 ⇒ compounded monthly

- Substitute these values in the formula above

∴ 5000=P(1+\frac{0.03}{12})^{(12)(2)}

∴ 5000=P(1+0.0025)^{24}

∴ 5000=P(1.0025)^{24}

- Divide both sides by (1.0025)^{24}

∴ P = 4709.18

The amount you should deposit is $4709.18

Learn more:

You can learn more about the compounded interest in brainly.com/question/2514241

#LearnwithBrainly

3 0
3 years ago
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