(2x - 6)^2 = (2x - 6)(2x - 6) = 4x^2 - 12x - 12x + 36 = 4x^2 - 24x + 36
Answer: c. z = 1.35; Reject the null hypothesis
Step-by-step explanation:
Let be the average life expectancy of its batteries.
As per given , we have
Null hypothesis :
Alternative hypothesis :
Since is right-tailed and population standard deviation is also known, so we perform right-tailed z-test.
Test statistic :
where, n= sample size
= sample mean
= Population mean
=population standard deviation
For , we have
Critical one-tailed test value for 0.10 significance level :
Decision : Since critical z value (1.28) < test statistic (1.35), so we reject the null hypothesis .
[When critical value is less than the test statistic value , we reject the null hypothesis .]
Answer:
the first one
Step-by-step explanation:
y = 3x/3
y = x
When you see a "%" you need to ask " a percent of what"?
Here, it's a percent of the original prize, so the discount is 20% of the original prize, that is 20% of 35.
20% is also 20/100 or 1/5, so we can calculate this like this:
so the discount is 7 dollars.
Answer:
Yes the sales manager claims can be refuted based on the calculated percentages
Step-by-step explanation:
<u>From the table attached below </u>
Total number of customers = 200
<em>Calculated percentages</em><em> </em>
customers that prefer whole life insurance = 90 = 90/200 = 45%
customers that prefer universal life insurance = 15 = 15/200 = 7.5%
customers that prefer Annuities = 95 = 95/200 = 47.5
<em>Expected percentages:</em>
whole life = 20%
Universal life = 10%
Life Annuities = 70%