Answer: 23
Step-by-step explanation:
12x+1=-7
-1 -1
12x=-6
/12 /12
x=-1/2 or x=-0.5
Answer: 3/5xr=t and 5/3xt=r
Step-by-step explanation:
Answer:
$ 22.6
Step-by-step explanation:
Given that
Price charged for each box of seeds = x
Profit gained from from selling boxes of seeds = p
The equation of profit is modeled as
P(x) = 0.5x² + 36x - 179
As per given information if the fundraisers make a profit of $379 then find the minimum price charged for each box of seed.
Now our above equation becomes
379 = -0.5x² + 36x - 179
Simplifying
379+179 = -0.5x² + 36x
558 = -0.5x² + 36x
0.5x² - 36x + 558 =0
multipying both sides of equation by 2
2(0.5x² - 36x + 558) = 2x0
x² - 72x +1116 = 0
Using quadratic formula we get the following factors
x= 49.4 or x= 22.60
As we can the smalles value is 22.6
So, they can charge 22.6 dollar for each bag of seeds in order to get profit of 379 dollars.
Answer:
Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.
Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.
And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.
In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.
Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
