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masha68 [24]
3 years ago
11

Indicate the equation of the given line in standard form.

Mathematics
1 answer:
Ganezh [65]3 years ago
8 0
Since the slope stays the same as it's parallel, we have y=(3/4)x+b. Plugging (2,-1) in, we get -1=3*2/4+b=6/4+b=1.5+b. Subtracting 1.5 from both sides, we get -2.5=b and our equation being y=(3/4)x-2.5 (since in y=mx+b, y and x remain as variables)
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You have used 500 quarts of water 85% of water remain how many quarts of oil
Ratling [72]

15 percent of oil because 100 minus 85

8 0
3 years ago
How many cubes would be in the tower that is 3 cubes y’all?
LenaWriter [7]

Answer:3

Step-by-step explanation:if it is 3 cubes tall that means it will be 3 cubes

5 0
3 years ago
Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.
Kazeer [188]

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a <u>Bernoulli</u> <u>Experiment</u>, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate <em><u>Expected</u></em> <em><u>Value</u></em>, which is the mean, in these conditions:

E(X)=\frac{r}{p}

r is number of times it is repeated

p is probability it happens

Solving:

E(X)=\frac{5}{1/6}

E(X) = 30

<u>Variance</u> is given by:

Var[X]=\frac{r(1-p)}{p^{2}}

Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}

Var[X]=5.\frac{5}{6}.6^{2}

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.

4 0
3 years ago
Question is shown in the image
astraxan [27]
Your average rate of change for the interval is 3/2 or 1.5, so that should be your answer.
6 0
2 years ago
What is the length of the missing leg
Shtirlitz [24]

Answer:

12

Step-by-step explanation:

Using the pythagorean theorem, we know that a^2+ b^2=c^2

In our case, we know b, which is 5 and c which is 13.

If we plug that into the equation, we get a^2+ 5^2 = 13^2

Next, we simplify the equation. a^2 + 25 = 169

Then we subtract 25 from 169. 169 - 25 = 144.

Lastly, we do the square root of 144 and we get 12 which is the missing side.

7 0
2 years ago
Read 2 more answers
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