Answer:
The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of 
. So we have T = 1.685
The margin of error is:
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 320 - 16 = 304 minutes
The upper end of the interval is the sample mean added to M. So it is 320 + 16 = 336 minutes
The 90% confidence interval for the mean time that the drug will take to reduce all fevers for all people is between 304 minutes and 336 minutes
The domain & range of the function will be the answer choice B
Answer:
19
Step-by-step explanation:
When 2 chords intersect then the product of the parts of one chord equal the product of the parts of the other chord, that is
12(x - 7) = 4(x + 3) ← distribute parenthesis on both sides
12x - 84 = 4x + 12 ( subtract 4x from both sides )_
8x - 84 = 12 ( add 84 to both sides )
8x = 96 ( divide both sides by 8 )
x = 12
Thus
12 + x - 7 = 12 + 12 - 7 = 17
4 + x + 3 = 4 + 12 + 3 = 19 ← longer chord
Answer:
(x+9)(x-2)
Step-by-step explanation:
There has to be two numbers that add to be 7 and multiply to be -18.
So 9 and -2
Hope this helps
Brainliest would be appreciated
From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
In this problem, when x increases by 20, y decays by 6, hence the slope is given by:
Then:
y = -0.3x + b.
When x = -54, y = 12, hence:
y = -0.3x + b
12 = -0.3(-54) + b.
b = -4.2.
Thus, the equation is:
y = -0.3x - 4.2.
The x-intercept is the value of x when y = 0, hence:
-0.3x - 4.2 = 0.
x = -4.2/0.3
x = -14
More can be learned about linear functions at brainly.com/question/24808124
