Base pay + (rate * sales) = total pay
b + r(400) = 388
b + r(700) = 454
b = 388 - 400r
now sub into 2nd equation
388 - 400r + 700r = 454
-400r + 700r = 454 - 388
300r = 66
r = 66/300
r = 0.22...22% is the rate
substitute for r
b + 400r = 388
b + 400(0.22) = 388
b + 88 = 388
b = 388 - 88
b = 300
so ur equation is : y = 0.22x + 300
y = 0.22(2600) + 300
y = 572 + 300
y = 872......so her salary when selling $2600 worth of stuff is $872
Answer: Ken Block ??
Step-by-step explanation:
Answer:
180 degrees
Step-by-step explanation:
The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,
A+B+C=180
15+90+B=180
B=180-90-15
B=75 degrees
Using the sine law,
a/sinA = b/sinB = c/sinC
where a, b, and c are the sides of the triangle,
So,
a/sin15 = 37/sin90
and
b/sin75 = 37/sin90
Simplifying, and solving for a and b, the measure of each side is
a= 9.58 units
b=35.74 units
I hope this helped. I am sorry if you get this wrong.
Answer:
s = 1,811 square foot
Step-by-step explanation:
Here, we want to calculate the area of the roof.
The best way to proceed here is by substitution.
We simply substitute the length and the price into the bid price equation to get the area of the roof.
From the original equation, the formula to use is ;
P = 1.85s + 4.2f
now from what we are given; s = ?
f = 190 feet and P = $4148
substituting these values, we have;
4148 = 1.85s + 4.2(190)
4148 = 1.85s + 798
1.85s = 4148 -798
1.85s = 3350
s = 3350/1.85
s = 1,810.810810810811
To the nearest square foot, s = 1,811
Answer:
1) a.) Your confidence interval estimate is narrower
2) c.) The width of a confidence interval estimate for a proportion will be narrower for 90% confidence level than for a 95% confidence level
Step-by-step explanation:
Confidence Interval can be stated as M±ME where
- ME is the margin of error
Margin of Error determines the range of the confidence interval around the mean.
Margin of error (ME) of the mean can be calculated using the formula
ME=
where
- z is the corresponding statistic in the given confidence level
- s is the standard deviation of the sample(or the population if it is known)
From the formula we can reach the following conclusions:
- As N increases, ME decreases.
- as confidence level increases, corresponding statistic increases, and thus margin of error increases.
Since your sample size (49) is bigger than your friend's (36), your confidence interval is narrower, because margin of error is narrower.
Since the confidence level 90% has smaller statistic than the confidence level 95%, its confidence interval is narrower.
That is, we can estimate <em>narrower</em> confidence intervals with less confidence.
