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3 years ago

Write 45% as a decimal.

Mathematics

1 answer:

wlad13 [49]3 years ago

3 0

Answer:

0.45

Step-by-step explanation:

Because you have to write 45% has money so 45.00 divide by 100 = 0.45 hope this is right and helpful. Can you mark me brainliest

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How do you do this question?

Mekhanik [1.2K]

Answer:

(-∞, -2), (-2, -0.618), and (1.618, 3)

Step-by-step explanation:

The red arrows indicate the regions in which the function is decreasing.

The corresponding intervals are (-∞, -0.618) and (1.618, 3),

Let's examine the intervals given.

(-∞, -2): Yes, decreasing.

(-2, -0.618): Yes, decreasing.

(-2, 0.689): No. Decreasing in (-2, -0.618) but increasing in (-0.618, 0.689).

(-1.17, 0.689): No. Decreasing in (-1.17, -0.618) but increasing

in (-0.618, 0.689).

(0.698, 71.457): No. Increasing from (0.698, 1.618), decreasing in (1.618, 3) and increasing in (3, 71.457).

(1.618, 3): Yes, decreasing.

(2.481, ∞): No. Decreasing in (2.481, 3) but increasing in (3, ∞).

The three choices that indicate a decreasing interval are (-∞, -2),

(-2, -0.618), and (1.618, 3).

3 0

3 years ago

What is the answer for -2(x-7) + 10x=34

Lelu [443]

Answer:

Step-by-step explanation:

-2x-14+10x=34

8x-14=34

8x=48

x=6

6 0

3 years ago

Order least from greatest -50 44 -3 1.5

sp2606 [1]

Answer:

-50, -31.5, 44 I think

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Ramon correctly answered 80% of the questions on his math test. Which of the following does NOT represent the part of the questi

puteri [66]

20%

100%(total points possibly given)
- 80% (points received)
equals 20%

8 0

3 years ago

Suppose that the probability that a person is killed by lightning, in a year is, independently of other people, 1/(500 million).

Katen [24]

Answer:

a) $P(X \geq 3) = 1- P(X$

The individual pprobabilities are:

$P(X=0)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.548812$

$P(X=1)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.329287$

$P(X=2)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.098786$

And if we replace we got:

$P(X \geq 3) = 1- [0.548812+0.329287+0.098786]=0.023115$

b) $P(X \geq 3) = 1- P(X$

And we can calculate this with the following excel formula:

$=1-BINOM.DIST(2;300000000;(1/500000000);TRUE)$

And we got:

$P(X\geq 3) = 0.023115$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=300000000, p=\frac{1}{500000000})$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

(a) Write down the exact expression for the probability P(3 or more people will be killed by lightning in the U.S. next year). Evaluate this expression to 6 decimal places.

For this case we want this probability, we are going to use the complement rule:

$P(X \geq 3) = 1- P(X$

The individual probabilities are:

$P(X=0)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.548812$

$P(X=1)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.329287$

$P(X=2)=(300000000C0)(\frac{1}{500000000})^3 (1-\frac{1}{500000000})^{300000000-0}=0.098786$

And if we replace we got:

$P(X \geq 3) = 1- [0.548812+0.329287+0.098786]=0.023115$

(b) Write down a relevant approximate expression for the probability from (a). Justify briefly the approximation. Evaluate this expression to 6 decimal places.

For this case we want this probability, we are going to use the complement rule:

$P(X \geq 3) = 1- P(X$

And we can calculate this with the following excel formula:

$=1-BINOM.DIST(2;300000000;(1/500000000);TRUE)$

And we got:

$P(X\geq 3) = 0.023115$

7 0

3 years ago