Answer:
a. 1.44
Step-by-step explanation:
We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 40%.
At the null hypothesis, it is tested if the proportion is of at most 40%, that is:
At the alternative hypothesis, it is tested if the proportion is of more than 40%, that is:
The test statistic is:
In which X is the sample mean, 
is the value tested at the null hypothesis, 
is the standard deviation and n is the size of the sample.
0.4 is tested at the null hypothesis:
This means that 
A random sample of 200 people was taken. 90 of the people in the sample favored Candidate A.
This means that:
Value of the test statistic:
Thus the correct answer is given by option a.
Answer: x=2
Step-by-step explanation:
Expand.
32−8x=7x+2
Add 8x to both sides.
32=7x+2+8x
Simplify 7x+2+8x7x+2+8x to 15x+215x+2.
32=15x+2
Subtract 22 from both sides.
32−2=15x
Simplify 32−2 to 30.
30=15x
Divide both sides by 15.
30/15=x
Simplify 30/15 to 2
2=x
Switch sides.
x=2
Given:
The function f(x) describes the amount of money, in dollars, the club will earn for wrapping x presents.
To find:
The f(658).
Solution:
We have,
Substitute x=658 to find the value of f(658).
It means, the club will earn $1974 for wrapping 658 presents.
Therefore, .
Answer:
The probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.
Step-by-step explanation:
Let <em>X</em> = the number of miles Ford trucks can go on one tank of gas.
The random variable <em>X</em> is normally distributed with mean, <em>μ</em> = 350 miles and standard deviation, <em>σ</em> = 10 miles.
If the Ford truck runs out of gas before it has gone 325 miles it implies that the truck has traveled less than 325 miles.
Compute the value of P (X < 325) as follows:
Thus, the probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.
6.40x+9.90(154-x)=1230.90
Solve for x
X=84 for child
154-84=70 for adults
