Answer:
Michael is running for president. The proportion of voters who favor him is 0.3. A simple random sample of 100 voters is taken.
a)
What is the expected value :: n*p = 100*0.8 = 80
standard deviation:: sqrt(n*p*q) = sqrt(80*0.2) = 16
where q is proportion of voters who do not favor Michael. (q=0.2)
and shape of the sampling distribution is binomial distribution which is approximately a bell shaped.
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what is the probability that the number of voters in the sample who will not favor Michael will be more than 16
P(X < 16.0) = P((x - 20) / 4.0) < (16.0 - 20) / 4.0) = P(Z < -1.00) = .1587
P(X > 16.0) = 1 - 0.1587 = 0.8413
Answer:

Step-by-step explanation:
Because vertical angles are always equal, we want to solve
.
We can add 10 to both sides to get
.
We can subtract
from both sides to get
.
Lastly, we divide both sides by 20 to get
.
So,
and we're done!
The check is left as an exercise to the reader.
Answer:
- 18 baseball cards
- 12 football cards
Step-by-step explanation:
The only relationship shown in the table is in week 1, where the ratio of baseball to football cards is ...
baseball : football = 9 : 6
In week 1, the total of these numbers is 15. You want the total in week 5 to be 30, double the total in week 1. So, Thomas needs to purchase double the numbers he purchased in week 1:
- 18 baseball cards
- 12 football cards
_____
<em>Comment on the attachment</em>
This table came from another question you posted, a question with no content other than the table. The blue numbers are blanks in the original table that have been filled in so as to keep the same 3:2 proportion in each week. They appear to have no bearing on this question.
Answer:
y = -
x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + b ( m is the slope and b the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m =
=
= - 
Since the line crosses the y- axis at (0, 6) ⇒ b = 6
y = -
x + 6 ← equation of line
Answer:
Step-by-step explanation:
Area = L * B = 9 * 3 = 27 square feet