Answer:
Hence, the two numbers chosen or plotted by them are:
-75 and 75
Step-by-step explanation:
It is given that Bernita and Derek each plot a number on a number line with the properties:
- The two numbers they have plotted are unique or different.
- Also there absolute value is same.
- The sum of the absolute values of the numbers is 150.
<em>We know that</em><em> Absolute value</em><em> of a positive number is a number itself and absolute value of a negative number is it's inverse.</em>
Hence, the two numbers that satisfy the above three properties are:
-75 and 75.
Since,
|-75|=75
and |75|=75.
Hence, |-75|=|75|
Also |-75|+|75|=75+75=150
Answer:
a) 90.695 lb
b) 85.305 lb
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:

(a) The 65th percentile
X when Z has a pvalue of 0.65. So X when Z = 0.385.




(b) The 35th percentile
X when Z has a pvalue of 0.35. So X when Z = -0.385.




Answer:
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Explanation:
<u>1. Ratio of campers to counselors in june:</u>
- Ratio = number of campers / number of counselors
- Ratio = 325 campers / 26 counselors
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<u>2. Ratio of campers to counselors in july:</u>
- number of campers = 325 - 265 + 215 = 275
- number of counselors = x (unknown)
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<u>3. Equivalent ratios:</u>
- 325 campers / 26 counselors = 275 campers / x
Solve for x:
- x = (26counselors/325campers) × 275campers = 22 counselors ← answer
The best way to determine which among the fractions has the greatest value, convert all of them to their decimal equivalents. To do so, divide the numerator by the denominator. Conor ate 0.25 of the pizza, Brandon also 0.25, Tyler 0.75, and Audrey 0.5. Thus, the answer is letter "B. Tyler".
I agree with the given answer because of the gain or loss on retirement of bonds = book value of bonds - the amount paid to the bondholders