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IgorLugansk [536]
3 years ago
8

Rewrite each equation in slope-intercept form. x=4y+2

Mathematics
2 answers:
kobusy [5.1K]3 years ago
8 0

Answer:

y=1/4x - 2/4

Step-by-step explanation:

x=4y+2

-4y+x=2

-4y=-1x+2

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

y=1/4x - 2/4

ss7ja [257]3 years ago
3 0
The slope intercept is y= 1/4x-1/2
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3 years ago
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6.8 Use the Normal approximation. Suppose we toss a fair coin 100 times. Use the Normal approximation to find the probability th
Maru [420]

Answer:

(a) The probability that proportion of heads is between 0.30 and 0.70 is 1.

(b) The probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

Step-by-step explanation:

Let <em>X</em> = number of heads.

The probability that a head occurs in a toss of a coin is, <em>p</em> = 0.50.

The coin was tossed <em>n</em> = 100 times.

A random toss's result is independent of the other tosses.

The random variable <em>X</em> follows a Binomial distribution with parameters n = 100 and <em>p</em> = 0.50.

But the sample selected is too large and the probability of success is 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of \hat p<em> </em>(sample proportion of <em>X</em>) if the following conditions are satisfied:

  1. np ≥ 10
  2. n(1 - p) ≥ 10

Check the conditions as follows:

 np=100\times 0.50=50>10\\n(1-p)=100\times (1-0.50)=50>10

Thus, a Normal approximation to binomial can be applied.

So,  \hat p\sim N(p,\ \frac{p(1-p)}{n})

\mu_{p}=p=0.50\\\sigma_{p}=\sqrt{\frac{p(1-p)}{n}}=0.05

(a)

Compute the probability that proportion of heads is between 0.30 and 0.70 as follows:

P(0.30

                              =P(-4

Thus, the probability that proportion of heads is between 0.30 and 0.70 is 1.

(b)

Compute the probability that proportion of heads is between 0.40 and 0.65 as follows:

P(0.40

                              =P(-2

Thus, the probability that proportion of heads is between 0.40 and 0.65 is 0.9759.

6 0
3 years ago
If a race car averages 138 miles per hour for 4 ​hours, how far does the car​ travel?
Mazyrski [523]

Answer:

552 miles :)

Step-by-step explanation:

138 times 4 = 552

552/4 = 138

7 0
3 years ago
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Ill cashapp you for your help..
Lelechka [254]
Your answer would 72.6 inches. The way you solved the answer is by adding all the numbers up, then dividing by how many ever numbers you have. Then, you’ll have your answer.
6 0
3 years ago
If 50% is 10 what is 25%​
kaheart [24]

Step-by-step explanation:. The first says “I know that 10 is one-tenth of 100. I will therefore divide 50 by 10. The answer is 5”.

This is fine when the numbers are relatively simple. But suppose the numbers are more complicated.

What is 22% of 46?

Now it’s much less straightforward. You can’t just work out what 22% is, expressed as a fraction, and anyway, it’s not a simple fraction.

Instead, you have to divide 46 into 100 equal parts, and work out what 22 of them would be when added together.

So: 46 ÷ 100 = 0.46 [remember, when you divide by 100, you move the decimal point two places to the left].

0.46 × 22 = 10.12

Answer: 22% of 46 is 10.12.

Hope this helped :)

8 0
3 years ago
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