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:
the angle of elevation is 12.56°
Step-by-step explanation:
the height of the ramp represents the opposite side and the length of the ramp the hypotenuse
we see that it has (angle, hypotenuse, opposite)
well to start we have to know the relationship between angles, legs and the hypotenuse
a: adjacent
o: opposite
h: hypotenuse
sin α = o/h
cos α= a/h
tan α = o/a
we choose the one with opposite and hypotenuse
sin α = o/h
sin α = 5ft / 23ft
sin α = 5/23
α = sin^-1 ( 5/23)
α = 12.56°
the angle of elevation is 12.56°
Answer: How much paint
The independent variable is the measuring of the house
Answer:
Option a
Step-by-step explanation:
Given that Seth just opened a checking account. His account includes an ATM card.
With ATM card
d) he can withdraw money from any ATM centre provided sufficient balance is kept in his checking account
b) he can deposit money for fixed denominations normally in multiples of 100 in the ATM centre with ATM card
c) he can give the card with pin in any shop to purchase an item instead of paying cash.
Hence b,c,d are not right answers.
a) transfer money is not possible using ATM card.
Only with netbanking transfer of money is possible
Option a is right answer
Step-by-step explanation:
g(x)=3x+5
g(-3)=3(-3)+5
=-9+5
=-4