<u>Answer:</u>
The probability that at most 10 of them will be living with both of their parents is 0.0018
<u>Solution:</u>
Given, US 1995, 70% of all children in the U.S. were living with both parents. 25 children were selected at random in the U.S.,
We have to find what is the probability that at most 10 of them will be living with both of their parents?
Now, number of children picked (n) = 25.
Probability to be with parents = 70% = 0.7.
Our condition is 0 ≤ x ≤ 10.
Then, we have to calculate p(0 ≤ x ≤ 10).
We can calculate using binomial cumulative distribution frequency- binomial CDF
Now, p(0 ≤ x ≤ 10) = binomcdf(n, p, x) = binomcdf(25, 0.7, 10) = 0.00177840 ≈ 0.0018.
Hence, the probability is 0.0018
3.420 times 10 to the 6th power will equal 3,420,000
You subtract 8,725 to the other side so the problem would be w=10,619-8,725 and the answer would be W=1,894
Answer:
The measure of ∠c is 50°.
Step-by-step explanation:
When it comes to problems like these, there are two types of angles that should be kept in mind: complementary angles and supplementary angles.
Complementary angles are angles that add up to 90° (a right angle). Supplementary angles are angles that add up 180° degrees (a straight angle). A good way to recall this information in layman's terms is to remember this: complements are always right.
So now let's apply what we've learned to the problem. We have a straight angle that is composed of two 65° angles and an unknown C angle. We know that when angles add up to 180°, they're supplementary angles.
<u>If we interpret our problem in algebriac form, we can say that:</u>
65° + 65° + m∠C = 180°
<u>Now we just solve this problem like any other algebriac equation. First, you can combine like terms.</u>
130° + m∠C = 180°
<u>Then, subtract 130° on both sides to isolate our variable.</u>
m∠C = 50°
<u>Now we can safely say that the measure of angle C is 50°.</u>
Answer:
52 tickets cost $10 and 18 tickets cost $12
Step-by-step explanation:
10x+12y=804. (1)
x+y=70. (2)
From (2)
x=70-y
Substitute x=70-y into (1)
10x+12y=804
10(70-y)+12y=804
700-10y+12y=804
700+2y=804
2y=804-700
2y=104
y=104/2
y=52
Recall
x+y=70
x+52=70
x=70-52
x=18
52 tickets cost $10 and 18 tickets cost $12
