Let w be the additional watts you can add on the circuit.
1100 + w < 1800 (write the inequality)
-1100 -1100 ( - 1100 from each side)
w < 700 (simplify)
ANSWER:
You can add up to 700 watts to the circuit, which means that you can also plug in the clock radio and the blender.
LOOK BACK:
You can check that your answer is correct by adding the numbers of watts used by the microwave oven, clock radio and blender.
1100 + 50 + 300 = 1450
The circuit will not overload because the total wattage is less than 1800 watts.
Answer:
14.2 ft
Step-by-step explanation:
tan 66° = 32/ FD
FD = 32 / tan 66° = 32 / 2.246 = 14.2
Shift of 6 units right, reflects over x-axis
Answer:
The score that cuts off the bottom 2.5% is 48.93.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean
and standard deviation
, the zscore of a measure X is given by:

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:

What is the score that cuts off the bottom 2.5%
This is X when Z has a pvalue of 0.025, so X when Z = -1.96.




The score that cuts off the bottom 2.5% is 48.93.
We know the area of the middle rectangle is 48 (length * width). removing that rectangle leaves us with two semicircles. you can combine those semicircles to be the equivalent of one circle. the area for a circle is r^2 * pi. we know the diameter is 4 because that is where we cut the semicircles. radius is half the diameter, so r is 2. 2^2 is 4, 4* pi is 12.56. add 12.56 (area of semicircles) with 48 (area of rectangle) and we get 60.56