Answer:
y=-0.215x^2+35
Step by Step:
Let,
,
,
, 
We know that, the general equation of the parabola.


Substitute the value of
in equation
and find the value of 







Hence, the equation of the parabola is:

The value of the z score is 1.03.
According to the statement
we have given that the value of mean and standard deviation and we have to find the value of the z score.
So, For this purpose we know that the
Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean.
And the given values are:
mean value = 69 inches
s.d value = 2.8 inches
And the value of x is 71.9 inches.
So, The Z score is
z = x - mean / standard deviation
substitute the values in it then
z = 71.9 - 69 / 2.8
then
z = 2.9 /2.8
z = 1.03
So, The value of the z score is 1.03.
Learn more about Z Score here
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Answer:
1.) 90 ways
2.) 15,600 ways
3.) 24 ways
Step-by-step explanation:
1.) Let's say we are given 2 digits not equal to each other...The number of different orderings would be 2*1 = 2, or if we wanted the number of ways to order 2 digits chosen : 10*9 = 90 ways
2.) The number of ways to arrange 3 letters from 26 letters is:
26 Permutes 3 = 26! / (26 -3)! = 26*25*24 = 15,600 ways to choose 3 letters in a certain order
3.) 4 different chores. The number of ways to do them = 4*3*2 *1 = 24 ways
Answer:
61-4g
Step-by-step explanation:
ygbhc
Answer:
(D) 81 feet
Step-by-step explanation:
From the figure drawn, it is given that AB is parallel to DE, in ΔABC and ΔCDE, we have
∠BAC=∠DEC(Alternate angles)
∠ACB=∠DCE(Vertically opposite angles)
Thus, by AA rule, ΔABC is similar to ΔCDE.
Since the line connecting from the whales to the sharks is parallel to the line connecting from the penguins to the fish tanks, the triangles shown in the figure are similar.
Using the property of similar triangles.
Hope this helped!!!