Answer:
D. a = 60 and b = 58.8
Step-by-step explanation:
Z-score:
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.
Z-score for data point a is 0.
This means that a is the mean, that is, a = 60.
The z-score for data point b is -0.4.
This means that b must be a value below the mean, that is, a value below 60.
The option that satisfies a = 60 and b < 60 is option D, which is the answer.
Answer:
∠ G = 26°, ∠ F = 154°
Step-by-step explanation:
Express ∠ F in terms of ∠ G, that is
F = 6G - 2
and since the angles are supplementary, then
G + 6G - 2 = 180, that is
7G - 2 = 180 ( add 2 to both sides )
7G = 182 ( divide both sides by 7 )
G = 26
Thus
∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°
Answer:
6:10.
Step-by-step explanation:
4 : 40 + 1 : 30 = 5 : 70
because 60 minutes make an hour and on the minutes side has more than 60, we have to minus 60 minutes and carry the one hour to the other side which is the Hour side.
5 : 70........ minus 60 to get 10.
5 + 1 to get 6.
therfore it is 6 : 10
Answer:
given,
mp= 4500
now
discount amount=dis%of mp
=x%of 4500
=45x
now,
sp=mp- discount
=4500-45x
now,
vat=vat%of SP
=10%*4500-45x
=450-45x
now,
sp with vat=sp+vat amount
=4500-45x+450-45x
=4950-90x
now,
4950-90x=4400
or,-90x=-550
or, x=55/9
or, x=6.11%
therefore, dis percent is 6.11%
Answer:
42 mph
Step-by-step explanation:
From 2 p.m. to 6 p.m. 4 hours passed, so the truck and the motorcycle were on the road for 4 hours until they met.
Motorcycle in 4 hours at a constant speed of 45 mph travelled
The distance between the motorcycle and the truck is 348 miles, so the truck travelled
If x mph is truck's speed, then
