Answer:
18.54
Step-by-step explanation:
sine is opposite/hypotenuse, and you have opposite (b=15), so use that
sin(54) = 15/c
c = 15/sin54
then use calculator
c = 18.54
4-7x=5
+7x +7x
4= 12x
/12 /12
x= 4/12
x= 1/3
Answer:
Probably 128 km/h, but maybe 98.5 km/h. See below.
Step-by-step explanation:
What does "at the same time" mean?
If it means that he covered the 240 km in the same time as he convered the 80 km, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 1.25 hour = 2.5 hour
average speed = (total distance)/(total time) = 320 km / 2.5 hour = 128 km/h
If it means he covered the 240 km in the same time he covered the 80 km plus the rest, then this is how you solve it:
80 km in 1.25 hour
240 km in 1.25 hour + 45 min = 240 km in 1.25 houir + 0.75 hour = 240 km in 2 hour
Total distance: 80 km + 240 km = 320 km
Total time: 1.25 hour + 2 hour = 3.25 hour
average speed = (total distance)/(total time) = 320 km / 3.25 hour = 98.5 km/h
Answer:
Step-by-step explanation:
Let X be average interest paid monthly by a bank's Visa cardholders
Given that X is N(28, 8)
In the following to find out probability we convert X to z score and use std normal distribution table
Z = 
Probability being less than 1 is here equal to the proportion also.
A) P(X>32) = P(Z>0.5)=0.5-0.1915=0.3085
B) P(X>40) = P(Z>1)=0.5-0.3413=0.1687
C) P(X<19) = P(Z<-1.125)=0.5-0.0438=0.4562
D) We have to find 19th percentile here
Z =-0.88
Answer:
-3/5
Step-by-step explanation:
First, make the mixed fraction into an improper fraction:
-1 2/5 = -(5/5 + 2/5) = -(7/5)
Note that two negatives = one positive:
- (-4/5) = + 4/5
Combine the terms. Subtract the numerators:
-(7/5) + (4/5) = (-7 + 4)/5 = -3/5
-3/5 is your answer.
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