Answer:
x=2y=6
Step-by-step explanation:
x+2y=-2y+6+2y
Answer:
C. There are infinitely many solutions.
Step-by-step explanation:
3x – 6 < 3x + 13
Subtract 3x from each side
-6 < -13
This inequality is always true.
There are infinitely many solutions.
Answer:
5.96% probability that exactly 3 people in the sample are afraid of being alone at night.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. 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.

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

And p is the probability of X happening.
5% of Americans are afraid of being alone in a house at night.
This means that 
If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.
This is P(X = 3) when n = 20. So


5.96% probability that exactly 3 people in the sample are afraid of being alone at night.
(a) without replacement:
P(S)=13/52=1/4
P(SS)=(1/4)*(12/51)=1/17
Probability of selecting two spades without replacement is 1/17.
(b) with replacement
P(S)=13/52=1/4
P(SS)=(1/4)(13/52)=1/16
Probability of selecting two spades with replacement is 1/16.
Answer:
Hey mate here is your answer...
Step-by-step explanation:
smaller circular table to be made
with a diameter only half as big... and diameter of big table is (2*55)= 110cm.... So half diameter of big is (110/2)= 55cm
therefore, diameter of smaller table is 55cm and radius of it's (55/2)= 27.5cm
circumference of circle = 2πr
= 2*3.14*27.5
= 172.7 cm = 27.5cm
hope it helps you ❣️