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3 years ago

Write the equation for the line.

Mathematics

1 answer:

Leni [432]3 years ago

4 0

Y=-2 hope this helps

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Write the number 5.66 × 10^8 in standard notation.

denis-greek [22]

566,000,000
standard notation just means write the number out insted of in an equasion

8 0

3 years ago

Suppose a bag contains many marbles, 54% of which are purple. You draw 5 marbles from the bag with replacement.

dolphi86 [110]

Part A

Use the binomial probability distribution formula.

p = 0.54 = probability of getting a purple marble

n = 5 = sample size

x = 2 = number of purple we want to get

$P(x) = \frac{n!}{x!(n-x)!}*p^x*(1-p)^{n-x}\\\\P(2) = \frac{5!}{2!(5-2)!}*0.54^2*(1-0.54)^{5-2}\\\\P(2) = 10*0.54^2*0.46^3\\\\P(2) = 0.283831776\\\\$

The $\frac{n!}{x!(n-x)!}$ portion is from the nCr combination formula. The exclamation marks indicate a factorial.

Alternatively, you could use Pascal's Triangle for that portion.

<h3>Answer: 0.283831776</h3>

This decimal value is exact. Round it however you need to.

============================================================

Part B

To find the expected value, aka the mean, we multiply the sample size and probability of getting a purple marble on any single selection.

n*p = 5*0.54 = 2.7

<h3>Answer: 2.7</h3>

6 0

2 years ago

Find the greatest common factor of 12m^2 and 9b^4

mylen [45]

Answer:

The greatest common factor of 12m^2 and 9b^4 is 3.

I hope this could help, let me know if you need anymore help.

8 0

3 years ago

Jim is two years older than his sister Mary. The sum of their ages is greater than 32. Describe Mary’s age. Create and inequalit

-Dominant- [34]

Let the two ages be j and m, respectively. Then j+m>32.

Solving for Mary's age, we get m > 32 - j. Because j = m + 2, m > 32 - (m+2).

Continue solving for m: Adding m to both sides of this inequality results in

2m > 32 - 2. Then 2m > 30, and m > 15. Mary's age is greater than 15.

4 0

3 years ago

Work out the equation of the line which has a gradient of 2 and passes through the point (1, 4)

leva [86]

Answer:

y = 2x + 2

Step-by-step explanation:

The slope is also called the gradient of the line.

The slope that is given is two, and the point is (1, 4).

I made a point slope equation, and then converted it into a slope-intercept equation.

$y-4=2(x-1)\\\\y-4=2x-2\\\\y-4+4=2x-2+4\\\\\boxed{y=2x+2}$

Hope this helps.

4 0

3 years ago

Write the equation for the line.​

Write the equation for the line.