Answer:
[0.9 months, 32.69 months]
Step-by-step explanation:
The mean is
The standard deviation is
Now, we have to find two values a and b such that the area under the Normal curve with mean 16.8 and standard deviation 8.1092 between a and b equals <em>95% = 0.95
</em>
Using a spreadsheet we find these values are
a = 0.906
b = 32.694
<h3>(See picture)
</h3>
and our 95% confidence interval for the mean number of months elapsed since the last visit to a dentist for the population of students participating in the program rounded to two decimal places is
[0.9 months, 32.69 months]
X=4. If k is the midpoint then JK is equal to KL. Since JK is 7 then KL is also 7 meaning JK is 14. JK is represented by the expression 4x-2 so you just set that expression equal to 14 and solve for x. Hope this helped!
2x+3y=6
3y=6-2x
y=2-2/3x
y=-2/3x+2
the 3rd one is correct
Answer:
f = 6, g = 8
Step-by-step explanation:
The area of Δ ADE = 60 - 48 = 12 cm²
Thus
AD × 4 = 12, that is
2AD = 12 ( divide both sides by 2 )
AD = 6 = f
The area of ABCD = 48 cm² , thus
fg = 48 , that is
6g = 48 ( divide both sides by 6 )
g = 8
Thus f = 6 and g = 8
Answer:
x - 99 ≤ -104 → 2nd line
x - 51 ≤ -43 → 1st line
150 + x ≤ 144 → 4th line
75 < 69 - x → 3rd line
Step-by-step explanation:
Ugh! Wow, this is going to be tedious, thanks alot, bro (jk, I got your back).
x - 99 ≤ -104
+ 99 + 99
x ≤ -5
There should be a line going from -5 to negative infinity (AKA the left) with a FILLED circle. So, the second one is correct.
x - 51 ≤ -43
+ 51 + 51
x ≤ 8
There should be an arrow with a FILLED circle going to negative infinity (AKA the left). So, the first one is correct.
I'm going to take a shortcut and notice that one of the lines has a filled circle while the other one has an empty circle. So the empty circle must relate to the question without a ≤ or ≥, but with a < or >. We see that 75 < 69 doesn't have ≤ or ≥ but a '<.' So this one must have the empty circle, which is on line 3. The last equation has to be on line 4.