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lakkis [162]
3 years ago
13

According to the U.S. Census Bureau, the prob ability that a randomly selected household speaks only English at home is 0.81. Th

e probability that a randomly selected household speaks only Spanish at home is 0.12. (a) What is the probability that a randomly selected household speaks only English or only Spanish at home? (b) What is the probability that a randomly selected household speaks a language other than only English or only Spanish at home? (c) What is the probability that a randomly selected household speaks a language other than only English at home? (d) Can the probability that a randomly selected household speaks only Polish at home equal 0.08? Why or why not?
Mathematics
1 answer:
ludmilkaskok [199]3 years ago
4 0

Answer:

Step-by-step explanation:

Given that according to the U.S. Census Bureau, the prob ability that a randomly selected household speaks only English at home is 0.81.

The probability that a randomly selected household speaks only Spanish at home is 0.12.

(a)  the probability that a randomly selected household speaks only English or only Spanish at home

= 0.81+0.12 = 0.93

(since these two are disjoint sets)

(b)  the probability that a randomly selected household speaks a language other than only English or only Spanish at home

= 1-0.93= 0.07 (remaining)

(c)  the probability that a randomly selected household speaks a language other than only English at home

=1-0.81=0.19

(d) Can the probability that a randomly selected household speaks only Polish at home equal 0.08? Why or why not?

Polish alone can never exceed 1-(0.81+0.12) i.e. 0.70

At most it can take values as 0.7 only

So no is the answer.

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monitta
0.5

Explanation—

So when u do 1/5 + 7/10 u get 0.9 and then when u work out the - u get 0.5

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8 0
3 years ago
Find the area of the figure. Explain your reasoning.
Grace [21]

Answer:

Separate it into smaller figures.

Step-by-step explanation:

The figure can be separated into a triangle on the top, and 2 trapezoids on the middle and the bottom.

The area of the triangle is bh/2, which is (4 x 6)/2, which is 12.

The area of the trapezoid in the middle is .5(b1+b2)h, which is .5(6+4)3, which is 15.

The area of the trapezoid on the bottom is .5(6+5)2, which is 11.

Now, add them to get 12+11+15 which is 38.

5 0
3 years ago
For all integers n, if n2 is odd, then n is odd. Use a proof by contraposition, as in Lemma 1.1. Let n be an integer. Suppose th
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Let's assume that the statement "if n^2 is odd, then is odd" is false. That would mean "n^2 is odd" leads to "n is even"

Suppose n is even. That means n = 2k where k is any integer.

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n = 2k
n^2 = (2k)^2
n^2 = 4k^2
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The expression 2(2k^2) is in the form 2m where m is an integer (m = 2k^2) which shows us that n^2 is also even. 

So this contradicts the initial statement which forces n to be odd. 
8 0
4 years ago
I need help with this question.
JulsSmile [24]
I hate when ppl do this
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3 years ago
In the image below, line q is parallel to liner, and line s is a transversal.
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Answer:

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Step-by-step explanation:

The measure of given angles are equal to each other because they are alternate exterior angles,

8 0
3 years ago
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