Answer:
The proportion of students whose height are lower than Darnell's height is 71.57%
Step-by-step explanation:
The complete question is:
A set of middle school student heights are normally distributed with a mean of 150 centimeters and a standard deviation of 20 centimeters. Darnel is a middle school student with a height of 161.4cm.
What proportion of proportion of students height are lower than Darnell's height.
Answer:
We first calculate the z-score corresponding to Darnell's height using:
We substitute x=161.4 , 
, and 
to get:
From the normal distribution table, we read 0.5 under 7.
The corresponding area is 0.7157
Therefore the proportion of students whose height are lower than Darnell's height is 71.57%
Answer:
Step-by-step explanation:
Problem One (left panel)
<em><u>Question A</u></em>
- The y intercept happens when x = 0
- That being said, the y intercept is 50. It was moving when the timing began.
<em><u>Question B</u></em>
The rate of change = (56 - 52)/(3 - 1) = 4/2 = 2 miles / hour^2 (you have a slight acceleration.
<em><u>Question C</u></em>
- 60 = a + (n-1)d
- 60 = 50 + (n - 1)*2
- 10/2 = (n - 1)*2/2
- 5 = n - 1
- 6 = n
The way I have done it the domain is n from 1 to 6
Question 2 (Right Panel)
<em><u>Question A</u></em>
The equation for the table is f(x) = 3x - 3 which was derived simply by putting all three points into y = ax + b and solving.
- f(0) = ax + b
- -3 = a*0) + b
- b = - 3
- So far what you have is
- f(x) = ax - 3
- f(-1) = a*(-1) - 3 but we know (f(-1)) = -6
- - 6 = a(-1) - 3 add 3 to both sides
- -6 +3 = a(-1) -3 + 3
- -3 = a*(-1) Divide by - 1
- a = 3
- f(x) = 3x - 3 Answer for f(x)
- The slope of f(x) = the coefficient in front of the x
- f(x) has a slope of 3
- g(x) has a slope of 4
<em><u>Part B</u></em>
- f(x) has a y intercept of - 3
- g(x) has a y intercept of -5
- f(x) has the greater y intercept.
- -3 > - 5
Answer:
x = 1/2y + 1
y = 2x - 2
Step-by-step explanation:
Let's solve for x.
4x−2y=4
Step 1: Add 2y to both sides.
4x−2y+2y=4+2y
4x=2y+4
Step 2: Divide both sides by 4.
4x
4
=
2y+4
4
x=
1
2
y+1
Answer:
x=
1
2
y+1
Let's solve for y.
4x−2y=4
Step 1: Add -4x to both sides.
4x−2y+−4x=4+−4x
−2y=−4x+4
Step 2: Divide both sides by -2.
−2y
−2
=
−4x+4
−2
y=2x−2
Answer:
y=2x−2
Hope this helps!
brainliest?
Answer:
2. <
Step-by-step explanation:
A units digit of 0 is less than a units digit of 1, so ...
0.9 < 1.1
Answer:
RQS = 63
PQR = 126
Step-by-step explanation:
because QS is an angle bisector, PQS =SQR and PQR = 2*PQS.
