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.
Answer:
20%
Step-by-step explanation:
decreased score= 80-64 = 16
x% of 80 = 16
x=20
Answer:GCF=17
To find the greatest common factor, or GCF, of the numbers, we first need to list the prime factors of both 85 and 51
52=3*17
85=5*17
17 is the sole common factor that these two numbers have in common, therefore 17 is the GCF.
To simplify the ratio, simply divide both numbers by 17.
85:51 becomes 5:3
Answer:
The decimal number is 0.964
Step-by-step explanation:
we have
![9(\frac{1}{10})+ 6(\frac{1}{100})+4(\frac{1}{1,000})](https://tex.z-dn.net/?f=9%28%5Cfrac%7B1%7D%7B10%7D%29%2B%206%28%5Cfrac%7B1%7D%7B100%7D%29%2B4%28%5Cfrac%7B1%7D%7B1%2C000%7D%29)
step 1
Multiply each fraction by the whole number
![(\frac{9}{10})+ (\frac{6}{100})+(\frac{4}{1,000})](https://tex.z-dn.net/?f=%28%5Cfrac%7B9%7D%7B10%7D%29%2B%20%28%5Cfrac%7B6%7D%7B100%7D%29%2B%28%5Cfrac%7B4%7D%7B1%2C000%7D%29)
step 2
Convert each fraction in a decimal number
Remember
Move the decimal point to the left as many places as there are zeros in the factor.
Move the decimal point one step to the left (10 has one zero).
Move the decimal point two steps to the left (100 has two zeros)
Move the decimal point three steps to the left (1000 has three zeros)
![0.9+0.06+0.004](https://tex.z-dn.net/?f=0.9%2B0.06%2B0.004)
step 3
Adds the number
![0.964](https://tex.z-dn.net/?f=0.964)