Answer:
6
Step-by-step explanation:
f(6) is the y-value when x = 6
From inspection of the graph, f(6) = -6
g(5) is the y-value when x = 5
From inspection of the graph, g(5) = -5
Substitute the found values into the given equation:
4 · f(6) - 6 · g(5)
= 4 · (-6) - 6 · (-5)
= -24 - (-30)
= -24 + 30
= 6
Answer:
a)
The 95% confidence interval would be given by (0.799;0.847)
b)
And rounded up we have that n=622
c)
And rounded up we have that n=1068
Step-by-step explanation:
Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 95% confidence interval would be given by (0.799;0.847)
Part b
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
And replacing into equation (b) the values from part a we got:
And rounded up we have that n=622
Part c
And rounded up we have that n=1068
Answer:
Step-by-step explanation:
1+4x=29
-1 -1
4x=28
4x/4=28/4
X=7
5 1/2 * 3 1/4
1 + 5 . 2/2 * 1 + 3 . 4/4 = 11/2 * 13/4 = 11 . 13/2 . 4 = 143/8 = 7 + 17 . 8/8 = 17 7/8
= 17 . 875
Detailed explanation of solution:
5 1/2 * 3 1/4
Transform the first mix number to improper fraction:
5 1/2 = 1 + 5 . 2/2 = 11/2
Transform the second mix number to improper fraction:
3 1/4 = 1 + 3. 4/4 = 13/4
Multiplying two fractions:
11/2 * 13/4 = 11 . 13/2 . 4 = 143/8
Since the numerator is greater than the denominator, We convert the improper fraction to mix fraction:
143/8 = 7 + 17.8/8
= 17 7/8 (Decimal: 17. 875)
Hope that helps!!!!!! ( Answer: 17 7/8, (Decimal: 17.875)
First you need to combine like terms
13x+8-15x=6+x+11
-2x+8=x+17
-x -8 -x -8
-3x=9
--- ----
-3 -3
x=-3
I hope I've helped!