Answer:
The cutoff rate that would separate the highest 2.5% of currency A/currency B rates is 1.92.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 1.832
Standard deviation = 0.044
Top 2.5%
95% of the measures are within 2 standard deviation of the mean.
Since the normal distribution is symmetric, this 95% goes from the 50 - 95/2 = 2.5th percentile to the 50 + 95/2 = 97.5th percentile.
The 97.5th percentile is the cutoff for the highest 2.5% of currency A/currency B rates, and it is 2 standard deviations above the mean.
1.832 + 2*0.044 = 1.92
The cutoff rate that would separate the highest 2.5% of currency A/currency B rates is 1.92.
Answer:
I belive it is (40x10)+(40x7)+(3x10)+(3x7)
Step-by-step explanation:
Answer:
<
Step-by-step explanation:
simplfy for each part
apply rule for absolute
= - 8
apply rule for parentheses with a negative
-(-a) = a
-( -8) = 8
solution
-8 is less than 8
Answer:
Working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.
Step-by-step explanation:
Given that Ted can change an advertisement on a billboard in 5 hours, while Marie can do the same job in 2 hours, to determine how long it would take them if they worked together the following calculation must be performed:
Ted 1/5 in 1 hour
Marie 1/2 in 1 hour
1/5 + 1/2 = X
5X + 2X = 10
7X = 10
X = 10/7
X = 1 3/7
60/7 x 3 = 25.71
60 x 0.71 = 42.6
So, working together, they will finish the job in 1 hour, 25 minutes, and 42.6 seconds.
M>a + m>b = 90 (complementary angle)
2x + 4x +30 = 90
6x + 30 = 90
6x + 30 -30 = 90-30
6x = 60
6x/6 = 60
x=10
The m>a = 2x
m>a = 20
Supplemenary angles must add up to 180. So, 180- 20 = 160
So the measure of the angle supplementary to angle a is 160°