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3 years ago

What is the equation of the line with x-intercpt 18 and y-intercpt 3

Mathematics

1 answer:

8090 [49]3 years ago

5 0

Answer:

y = -1/6 x + 3.

Step-by-step explanation:

The general form can be written as y = mx + c.

c = the y-intercept so we have y = mx + 3.

x-intercept = 18 so the point (18, 0) is on the line:

0 = m*18 + 3

18m = -3

so m = -1/6.

The equation is -1/6 x + 3.

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According to the last census (2010), the mean number of people per household in the United States is LaTeX: \mu = 2.58 Assume a

Veseljchak [2.6K]

Answer:

P(2.50 < Xbar < 2.66) = 0.046

Step-by-step explanation:

We are given that Population Mean, $\mu$ = 2.58 and Standard deviation, $\sigma$ = 0.75

Also, a random sample (n) of 110 households is taken.

Let Xbar = sample mean household size

The z score probability distribution for sample mean is give by;

Z = $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

So, probability that the sample mean household size is between 2.50 and 2.66 people = P(2.50 < Xbar < 2.66)

P(2.50 < Xbar < 2.66) = P(Xbar < 2.66) - P(Xbar $\leq$ 2.50)

P(Xbar < 2.66) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{2.66-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z < -1.68) = 1 - P(Z 1.68)

= 1 - 0.95352 = 0.04648

P(Xbar $\leq$ 2.50) = P( $\frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{2.50-2.78}{\frac{0.75}{\sqrt{110} } }$ ) = P(Z $\leq$ -3.92) = 1 - P(Z < 3.92)

= 1 - 0.99996 = 0.00004

Therefore, P(2.50 < Xbar < 2.66) = 0.04648 - 0.00004 = 0.046

7 0

3 years ago

Here is my question

Dimas [21]

answer:

second one to the right

step-by-step explanation:

here is a picture of the net

7 0

3 years ago

The population of Finland was 5 503 000 in 2017.

Luden [163]

Answer:

i. 5 502 999

ii. 5 502 001

im sorry i dont understand

Step-by-step explanation:

Have a good day :)

6 0

2 years ago

HELP MEE ,20 POINTS !!!!

Natali [406]

Celina says true that each of the following expressions is actually a binomial expression.

<h3>What is binomial?</h3>

The binomial is a polynomial of two-term only. For example, x + 5 where x and 5 are the two separate terms.

Celina says that each of the following expressions is actually a binomial in disguise:

a. 5abc - 2a² + 6abc = 11abc - 2a²