Let
denote the random variable representing a given number in the total set of numbers. We're told that
of the numbers fall within a given range, so we know
where
is normally distributed with mean 45 and an unknown variance
.
Let's make the transformation to a random variable with a standard normal distribution:
Since
is symmetric, we have
The mean of
is 0, and by symmetry we know that exactly half of the distribution falls to the left of
, so
. We're left with
This probability corresponds to a value of
, which means
Answer:
2/35 of the pizza is left
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
subtract 4/5 from 5/5 then get 1/5 and sub 1/7 from that
Answer:
13*1=13
Step-by-step explanation:
1. (2r + 9)(2r-9) = 4r^2 -81
+ (2r - 9)^2 = 4r^2 - 36r + 81
= 8r^2 - 36r
2. 12 - 5 [ a^2 + a - 1 ] + 5a
= 12 - 5a^2 - 5a + 5 +5a
= 17 - 5a^2
x^3 + 3x^2 + 6x + 18
______
3. x-3/ x^4 + 7
- ( x^4 - 3x^3)
----------------
3x^3 + 7
- (3x^3 - 6x^2)
-------------------
6x^2 + 7
- (6x^2 - 18x)
-------------------
18x + 7
- (18x - 54)
--------------
7 + 54 = R = 61
welp That's What I get
Answer: Third option.
Step-by-step explanation:
By definition, Exponential functions have the following form:
Where "b" is the base (
and 
), "a" is a coefficient (
) and "x" is the exponent.
It is importat to remember that the "Zero exponent rule" states that any base with an exponent of 0 is equal to 1.
Then, for an input value 0 (
) the output value (value of "y") of the set of ordered pairs that could be generated by an exponential function must be 1 (
).
You can observe in the Third option shown in the image that when ,
Therefore, the set of ordered pairs that could be generated by an exponential function is the set shown in the Third option.
