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Anna35 [415]
3 years ago
11

Find two consecutive odd numbers whose sum is 44.

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0

Answer:

21 & 23

<em>Hope that helps!</em>

Step-by-step explanation:

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(7x-11)+(6x-5)+(3x+6)+(4x+7)=
Evgen [1.6K]
the answer is 20x - 3

have a wonderful day! :)

6 0
2 years ago
Simplify the ratio 9/12
Alex777 [14]
3:4 This is the answer
5 0
2 years ago
Read 2 more answers
Jerry had 1 gallon of ice cream he used 3/10 gallon to make chocolate milkshakes and 0.40 gallon to make vanilla milkshakes how
Gre4nikov [31]
Let
x------> the <span>remaining ice cream

we know that
3/10------> 0.30
so

x=1-0.30-0.40-----> x=1-0.70------> x=0.30 gal------> 3/10 gal

the answer is
3/10 gal</span>
6 0
3 years ago
It looks easy i just dont know how to do it can someone help me out
Arada [10]

Answer:

16

Step-by-step explanation:

16+4x = 10 +14

-16             -16

4x = 8

/4      /4

x=2

8x=8(2)

=16

3 0
2 years ago
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
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