Consider the given equation is 
and one of the 6 in the options is -6.
Given:
The equation is
To find:
The value of x.
Solution:
We have,
Subtracting 3 from both sides, we get
Divide both sides by -2.
Therefore, the value of x is -6.
<span>42.7−<span>(<span>−12.4</span>)
</span></span><span>=<span>42.7−<span>(<span>−12.4</span>)
</span></span></span><span>=<span>42.7+12.4
</span></span><span>=<span>55.1</span></span>
The confidence interval formula is computed by:
Xbar ± Z s/ sqrt (n)
Where:
Xbar is the mean
Z is the z value
S is the standard deviation
N is the number of samples
So our given are:
90% confidence interval with a z value of 1.645
Sample size 40, 45
Mean 180, 179
Standard deviation 2, 4
So plugging that information in the data will give us a
confidence interval:
For 1:
Xbar ± Z s/ sqrt (n)
= 180 ± 1.645 (2 / sqrt (40))
= 180 ± 1.645 (0.316227766)
= 180 ± 0.520194675
= 179.48, 180.52
For 2:
Xbar ± Z s/ sqrt (n)
= 179 ± 1.645 (4 / sqrt (45))
<span>= 179 ± 1.645 (0.596284794)</span>
therefore, the answer is letter b
Given:
18 points on her quiz
24 points is equivalent to 100%
18 is to 24 or 18/24
x is to 100% or x/100%
18/24 = x/100%
18 * 100% = 24x
1800% = 24x
1800%/24 = x
75% = x
18/24 = 75%/100%
18 * 100% = 24 * 75%
1800% = 1800%
Given:
In triangle ABC, point D is the centroid, and BD = 6.
To find:
The measure of side BE.
Solution:
We know that the centroid divides each median in 2:1.
In the given figure BE is a median and point D is the centroid. It means point D divides the segment BE in 2:1.
Let BD and DE are 2x and x respectively.
We have, BD = 6 units.
Now,
Therefore, the measure of side BE is 9 units.
