Double of 50 is 100, so 28*100=2800, now half of the answer is 2800/2=1400
Hope it helped
The conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).
<em><u>Recall:</u></em>
- The slopes of the opposite sides of a parallelogram are always parallel.
- When two lines have a slope that is equal, the lines are said to be parallel to each other.
The slopes given shows are:
-1/2, 3/2, -1/2, and 3/2
This implies that the quadrilateral has two pairs of equal sides that are parallel to each other.
- Therefore, the conclusion that can be made given the slopes of the quadrilateral is that: since the slopes of the opposite sides are equal, the opposite sides are parallel, therefore the quadrilateral is a parallelogram. (Option A is correct).
Learn more about parallelogram on:
brainly.com/question/3050890
Answer:
A) m < -175/k and B) 3c/5 - 11
Step-by-step explanation:
A) Add 90 to both sides. -mk > 175.
Next, divide both sides by -k. Because you divide by a negative, don't forget to reverse the sign!
m < -175/k.
B) Subtract 3c from both sides.
-5f = 55 - 3c.
Now multiply both sides by -1/5.
f = 3c/5 - 11
Answer:
a. 120
b. 6
c. 0.05
Step-by-step explanation:
a) The ways Eduardo, Sarah, Maria, Jim, and Tyrone can arrive to the party is
5! = 5×4×3×2×1 = 120
The logic behind it is
- 5 different people can arrive first, after that
- 4 different people can arrive second, when first and second arrived is known,
- 3 different people can arrive third, then
- 2 different people can arrive fourth
- only 1 person left to be fifth.
b) Using the same logic, when first and last arrived is known, there is
3!=3×2×1=6 ways they can arrive in this case.
c) The probability that Eduardo will arrive first and Tyrone last is
the division of the ways Eduardo arrive first and Tyrone last by the ways 5 people can arrive 
Answer:
A customer who sends 78 messages per day would be at 99.38th percentile.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean
and standard deviation
, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Average of 48 texts per day with a standard deviation of 12.
This means that 
a. A customer who sends 78 messages per day would correspond to what percentile?
The percentile is the p-value of Z when X = 78. So



has a p-value of 0.9938.
0.9938*100% = 99.38%.
A customer who sends 78 messages per day would be at 99.38th percentile.