Answer:
182.41
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:

40th percentile
Value of X when Z has a pvalue of 0.4. So X when Z = -0.253.




So the answer is 182.41.
we can do this by 2 ways
1- by plotting the points on graph and then tracing the points to get shape,
for linear, we will get straight line
for quadratic, we will get parabola
in this case, it is linear as we get a straight line
2- by solving for values of x and y
consider standard linear equation y = mx +c where m is slope and c is constant
by putting given values of x and y we get
y + 2x = 4(answer)
if we consider standard parabola equation
y^2 = 4ax
this equation is not true for given points
It's between 101 and 199.
5 less than 10 is 5.
2 more than 5 is 7
My guess is 157
Answer
64
Step-by-step explanation:
using pemdas you do parentheses first multilying 2 and -4 then raise it to the power of 2
Answer:
a) f(g(x)) =
=
= x
g(f(x)) =
=
= x
f and g are inverses
b) f(g(x)) = x + 3 + 3 = x + 6
g(f(x)) = x + 3 + 3 = x + 6
f and g are not inverses
Step-by-step explanation:
a)
f(g(x)) =
=
= x
g(f(x)) =
=
= x
Since f(g(x)) = g(f(x)) = x, then f and g are inverses
b)
f(g(x)) = x + 3 + 3 = x + 6
g(f(x)) = x + 3 + 3 = x + 6
Since f(g(x)) = g(f(x)) ≠ x, then f and g are not inverses