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4 years ago

The universal set is the set of

Mathematics

1 answer:

lbvjy [14]4 years ago

5 0

Answer:

See below in bold.

Step-by-step explanation:

P = {2, 4, 6, 8, 10}

Q = {3, 6, 9}

R = {1, 3, 5, 7, 9}

PUQUR is the union of the 3 sets and is:

{1, 2, 3,4, 5, 6, 7, 8, 9, 10}

P∩Q∩R is the intersection of the 3 sets and is:

∅.

- that is the empty set . There are no common elements in the 3 sets.

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The consequent of a ratio is 36. If the ratio is 4:9 find its antecedent.

inn [45]

Answer:

Step-by-step explanation:

4 x 4= 16

9 x 4= 36

antecedent= 16

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3 years ago

To the nearest millimeter, a cell phone is 99 mm long and 78 mm wide. What is the ratio of the width to the length?

docker41 [41]

It asked for width to length, so it is really important to put the width on top and the length on bottom.

46mm

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84mm

Reduce the fraction, if you can use a calculator you do not need to show this part.

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3 years ago

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following p

drek231 [11]

Answer:

$P(X=14)=(18C14)(0.8)^{14} (1-0.8)^{18-14}=0.2153$

$P(X=15)=(18C15)(0.8)^{15} (1-0.8)^{18-15}=0.2297$

$P(X=16)=(18C16)(0.8)^{16} (1-0.8)^{18-16}=0.1722$

$P(X=17)=(18C17)(0.8)^{17} (1-0.8)^{18-17}=0.0811$

$P(X=18)=(18C18)(0.8)^{18} (1-0.8)^{18-18}=0.0180$

And adding the values we got:

$P(X \geq 14)= 0.2153 +0.2297+0.1722+0.0811+0.0180=0.7164$

Step-by-step explanation:

Assuming this question: P(X≥14), n=18, p=0.8

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:

$X \sim Binom(n=18, p=0.8)$