409,200,000,000= 4.092 × 10^11
Answer:
There is 3 out of 4 chance you will get one head.
You are not guaranteed to get a head
Step-by-step explanation:
Lets determine the sample space
HH HT TH TT
These are the 4 things that can happen when we flip to coins
We want at least one head
3 of the 4 choices have at least 1 head
P (at least one head) = 3/4
Answer:
The alternative hypothesis is 
.
The critical value is 
Step-by-step explanation:
It is claimed that proportion in favor of proportion A is greater than 60%.
This means that at the null hypothesis, we test if the proportion is of at most 60%, that is:
At the alternative hypothesis, we test if the proportion is more than 60%, that is:
What is (are) the critical value?
The critical value is the value of Z with a p-value 1 subtracted by the standard significance level of 0.05, since we are testing if the mean is more than a value, so, looking at the z-table,
Answer:
x = 8
Step-by-step explanation:
It is given that the two polygons are similar, one property of similar polygons is that if one were to multiply each side length by a certain number (referred to as the ratio of similitude), they would get the side length of the corresponding side on the other polygon. To find the ratio one has to divide the side length of one polygon by its corresponding side length in the other polygon.
30 ÷ 25 = 1.2
Set up an equation by multiplying one side length by the ratio of similitude, set it equal to its corresponding side length in the other polygon;
1.2 (35) = 4x + 10
Simplify,
42 = 4x + 10
Inverse operations,
42 = 4x + 10
32 = 4x
8 = x
L = length
W = width
P = perimeter
Equations:
L = 2W + 5
2L + 2W = P
P = 88
Solve using the equations above:
2(2W + 5) + 2W = 88
4W+ 10 + 2W = 88
6W + 10 = 88
6W = 78
w=16
the width is 16 centimeters
