What is -36 divided by -90 in a fraction

What the solution set of the inequality 15y - 9 < 36

Alika [10]

15y - 9 < 36

15y - 9 + 9 < 36 + 9

15y < 45

15y ÷ 15 < 45 ÷ 15

y < 3

Hope this helps!!
~Kiwi

6 0

4 years ago

I need help with 8 i don't understand it i get. idk how to figure out what jm is

Misha Larkins [42]

The segment bisector of line JK would be L since it passes through M
How to find JM is that you would have to solve 3x+15=8x+25 to get x and once you find x you just plug it into the equation for JM, 3x+15
3x+15=8x+25 (subtract 8x on both sides)
-5x+15=25 (subtract 15 on both sides)
-5x=10 (Divide on both sides)
x=-2
Plug that in:
3(-2)+15
-6+15
JM=9

8 0

4 years ago

What is the equation of the line that passes through (4,8) and is parallel to the graph y=1/2x-3 ?

Makovka662 [10]

Answer:

The Answer is: The y intercept form for a line that is parallel to the given equation and passes through the given point is: y = 1/2x + 6.

Step-by-step explanation:

Given a point: (4, 8)

Given and equation:

y = 1/2x - 3

Write an equation parallel that passes through the point (4, 8).

Start with the point-slope form of the equation, use the slope m = 1/2 from the given equation:

y - 8 = 1/2(x - 4)

Solve for y to get the slope intercept form:

y - 8 = 1/2x - 2

y = 1/2x - 2 + 8

y = 1/2x + 6

Proof:

Solve for f(x) when x = 4

f(4) = 1/2x + 6

= 1/2(4) + 6

= 2 + 6 = 8, giving the point (4, 8)

3 0

4 years ago

I need help with this

mojhsa [17]

Answer:

rational

irrational

rational

Step-by-step explanation:

2 × 2 = 4 rational

2 × √2 = 2√2 irrational

√2 × √2 = √4 = 2 rational

8 0

2 years ago

A lot of 25 skylight covers are received at your construction site, and before installation are subjected to an acceptance testi

Vladimir79 [104]

Answer:

If the lot has 4 defective covers out of 25 total covers, the probability of accepting the lot is P=0.98.

Step-by-step explanation:

We have a population of N=25 skylight covers, were K=4 are defective.

We sample n=5 covers, and we will accept the lot if k=2 or fewer are defective.

We will use the hypergeometric distribution to model this probabilities.

First, to be accepted, the sample can have 2, 1 or 0 defective covers, so the probability of being accepted is:

$P(accepted)=P(k\leq2)=P(k=0)+P(k=1)+P(k=2)$

The probability that there are k defective covers in the sample is:

$P(k)=\dfrac{\dbinom{k}{k}\dbinom{N-k}{n-k}}{\dbinom{N}{n}}$

Then, we can calculate the individual probabilities as:

$P(k=0)=\dfrac{\dbinom{4}{0}\cdot \dbinom{25-4}{5-0}}{\dbinom{25}{5}}=\dfrac{\dbinom{4}{0}\cdot \dbinom{21}{5}}{\dbinom{25}{5}}\\\\\\P(k=0)=\dfrac{1\cdot 20349}{53130}=0.38$

$P(k=1)=\dfrac{\dbinom{4}{1}\cdot \dbinom{25-4}{5-1}}{\dbinom{25}{5}}=\dfrac{\dbinom{4}{1}\cdot \dbinom{21}{4}}{\dbinom{25}{5}}\\\\\\P(k=1)=\dfrac{4\cdot 5985}{53130}=0.45$

$P(k=2)=\dfrac{\dbinom{4}{2}\cdot \dbinom{25-4}{5-2}}{\dbinom{25}{5}}=\dfrac{\dbinom{4}{2}\cdot \dbinom{21}{3}}{\dbinom{25}{5}}\\\\\\P(k=2)=\dfrac{6\cdot 1330}{53130}=0.15$

If we add this probabilities, we have:

$P(accepted)=P(k\leq2)=P(k=0)+P(k=1)+P(k=2)\\\\P(accepted)=0.38+0.45+0.15=0.98$

If the lot has 4 defective covers out of 25 total covers, the probability of accepting the lot is P=0.98.

6 0

3 years ago