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3 years ago

Whats 0.4 60% 1/5 in order

Mathematics

2 answers:

Anastaziya [24]3 years ago

8 0

1/5 0.4 60% to find the first one you divide 1 by 5

Alenkinab [10]3 years ago

3 0

Convert all of them to decimals
0.4
60% = 0.6
1/5 = 0.2
now you can put them in order
least to greatest: 1/5, 0.4, 60%
greatest to least: 60%, 0.4, 1/5

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The mailing list of an agency that markets scuba-diving trips to the Florida Keys contains 78% males and 22% females. The agency

choli [55]

Answer:

a) 0.98% probability that 17 of the 29 people are men.

b) 3.86% probability that the first woman is reached on the 8th call

Step-by-step explanation:

For each person chosen by the agency, there are only two possible outcomes. Either it is a man, or it is a woman. The probability of selecting a man or a women in each trial is independent from other trials. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

(a) What is the probability that 17 of the 29 people are men?

This is P(X = 17) when $n = 29, p = 0.78$ . So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 17) = C_{29,17}.(0.78)^{17}.(0.22)^{12} = 0.0098$

0.98% probability that 17 of the 29 people are men.

(b) What is the probability that the first woman is reached on the 8th call?

On the first 7 trials, all men, each with a 78% probability.

On the 8th trial, a women, with a 22% probability. So

$P = (0.78)^{7}*0.22 = 0.0386$

3.86% probability that the first woman is reached on the 8th call

4 0

3 years ago

Which of the following items is the most likely to have a mass of 3 mg?

Maslowich

C.the ant would be the most likely thing to have a mass of three grams.

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3 years ago

Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44

Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

$s=r\theta$

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

$c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43$

So, radius = 6.34

Now, finding central angle:

$s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians$

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

#learnwithBrainly

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2 years ago

What is the equation of the graph?

Inessa05 [86]

X=-4 is the answer because all of the points of the line are x=-4

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3 years ago

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Each of the following equations is an example of one of the properties of whole-number addition. Fill in the black to make a tru

Oliga [24]

a. 4 – commutative property

b. 5 – commutative property

c. 0 – identity property

d. 4 – associative property

_____

The commutative property lets you swap the order: (a) + (b) = (b) + (a).

The associative property lets you change the grouping: (a+b)+c = a+(b+c).

The identity property lets you add 0 without changing anything: (a) +0 = (a).

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2 years ago