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algol [13]
3 years ago
11

Simplify 20m + 12 - 8m + 6 + 10m -2 NEED DONE ASAP

Mathematics
1 answer:
Anna71 [15]3 years ago
8 0

Answer:22m+18=-2

Step-by-step explanation:

20m-8m+10m+12+6=-2

12+10=22m

22m+12+6-2

22m +18=-2

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For a certain river, suppose the drought length Y is the number of consecutive time intervals in which the water supply remains
AnnZ [28]

Answer:

a) There is a 9% probability that a drought lasts exactly 3 intervals.

There is an 85.5% probability that a drought lasts at most 3 intervals.

b)There is a 14.5% probability that the length of a drought exceeds its mean value by at least one standard deviation

Step-by-step explanation:

The geometric distribution is the number of failures expected before you get a success in a series of Bernoulli trials.

It has the following probability density formula:

f(x) = (1-p)^{x}p

In which p is the probability of a success.

The mean of the geometric distribution is given by the following formula:

\mu = \frac{1-p}{p}

The standard deviation of the geometric distribution is given by the following formula:

\sigma = \sqrt{\frac{1-p}{p^{2}}

In this problem, we have that:

p = 0.383

So

\mu = \frac{1-p}{p} = \frac{1-0.383}{0.383} = 1.61

\sigma = \sqrt{\frac{1-p}{p^{2}}} = \sqrt{\frac{1-0.383}{(0.383)^{2}}} = 2.05

(a) What is the probability that a drought lasts exactly 3 intervals?

This is f(3)

f(x) = (1-p)^{x}p

f(3) = (1-0.383)^{3}*(0.383)

f(3) = 0.09

There is a 9% probability that a drought lasts exactly 3 intervals.

At most 3 intervals?

This is P = f(0) + f(1) + f(2) + f(3)

f(x) = (1-p)^{x}p

f(0) = (1-0.383)^{0}*(0.383) = 0.383

f(1) = (1-0.383)^{1}*(0.383) = 0.236

f(2) = (1-0.383)^{2}*(0.383) = 0.146

Previously in this exercise, we found that f(3) = 0.09

So

P = f(0) + f(1) + f(2) + f(3) = 0.383 + 0.236 + 0.146 + 0.09 = 0.855

There is an 85.5% probability that a drought lasts at most 3 intervals.

(b) What is the probability that the length of a drought exceeds its mean value by at least one standard deviation?

This is P(X \geq \mu+\sigma) = P(X \geq 1.61 + 2.05) = P(X \geq 3.66) = P(X \geq 4).

We are working with discrete data, so 3.66 is rounded up to 4.

Either a drought lasts at least four months, or it lasts at most thee. In a), we found that the probability that it lasts at most 3 months is 0.855. The sum of these probabilities is decimal 1. So:

P(X \leq 3) + P(X \geq 4) = 1

0.855 + P(X \geq 4) = 1

P(X \geq 4) = 0.145

There is a 14.5% probability that the length of a drought exceeds its mean value by at least one standard deviation

8 0
3 years ago
I need help is it A B C or D
nata0808 [166]
C because you have to think a bout how to get from y to x

3 0
3 years ago
Which symbol makes the statement true? 125.32 ____ 125.093<br><br> &lt;<br> &gt;<br> =<br> ≥
Alexandra [31]
Hello : 
125.32  > 125.093 .. because : 3 <span>> 0</span>
4 0
3 years ago
Read 2 more answers
Find the surface area of the shape below.
Korvikt [17]

Answer:

A=384 cm^{2}

Step-by-step explanation:

A =2(wl+hl+hw)

A=2(8*8+8*8+8*8)

A=2(64+64+64)

A=2(192)

A=384

8 0
3 years ago
47. Dave deposits 9818 in a bank for one year. If the interest rate is 9% p.a:
Olegator [25]

Answer:

The interest is $883.62 and the amount is $10701.62.

Step-by-step explanation:

Find the interest =

=9818 x 0.09 x 1

=883.62.

Since P = $9818 and I = $883.62 we have,

Find the Amount=

=9818+883.62

=10701.62..

3 0
3 years ago
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