Answer:
578.50
Step-by-step explanation:
The worker worked 40 hours at 13 dollars
40 * 13 =520
Then they worked 3 hours at 13(1.5) or 19.50
3*19.50 =58.5
The total amount of money earned is regular time plus overtime
520 + 58.5 =578.50
Answer: $200
Step-by-step explanation
Principal = $2000
Rate = 15%
Time = 8 months = 8/12 = 2/3 years
Interest = Principal × Rate × Time
= 2000 × 15% × 2/3
= 2000 × 15/100 × 2/3
= $200
The interest is $200
Step-by-step explanation:
Simplify :
x4−6x3+2x−7+7x3−x+5x2+2−x4
x4−6x3+2x−7+7x3−x+5x2+2−x4
Rearranging and collecting the like terms, we get:
=(x4−x4)+(−6x3+7x3)+5x2+(2x−x)+(−7+2)
=(1−1)x4+(−6+7)x3+5x2+(2−1)x+(−7+2)
=(1)x3+5x2+(1)x−7+2
=x3+5x2+x−5
Simplify <span>-6(1+11b) using distributive property
-6 - 66b</span>
The confidence interval is

.
We first find the mean. Add together all of the data points and divide by 6, the number of data points; the mean is 77.28.
Next we find the standard deviation. Find the difference between each data point and the mean; square it; find the sum; divide by the number of data points; take the square root. The standard deviation is 3.32.
To find the margin of error, we calculate the z-score associated with this level of confidence. 100-90 = 10% = 0.1; 0.1/2 = 0.05; 1-0.05 = 0.95. Using a z-table (http://www.z-table.com) we see that this is between two scores, 1.64 and 1.65; we will use 1.645.
The margin of error is given by
z * (σ/√n) = 1.645*(3.32/√6) = 2.23.
Thus the confidence interval is 77.28 +/ 2.23.