Hey there!
I'll assume we're using the slope-intercept form equation:
y = mx + b
m = slope
b = y-intercept
First, we keep the y, because it's value depends on the x value given.
Next, we find the slope. Slope is defined as rise/run, so we take two points on the graph, find how much taller one is from another, and how far right/left they are, put those values over each other, and we have out slope (m).
Finally, we need to determine the y-intercept, and that's as simple as seeing where the line crosses the y axis and writing down that value.
Hope this helps!
Answer:
the 90th percentile is 145
Step-by-step explanation:
Data provided:
152 121 130 143 122 101 137 98 138 127 145 117
Number of students considered, n = 12
To find:
90th percentile
Now,
Step 1 : Arrange the data in ascending order
98, 101, 117, 121, 122, 127, 130, 137, 138, 143, 145, 152
Step 2 : Compute the position of the 90th percentile
position of the 90th percentile, i = (90% × n)
Thus,
i = 0.90 × 12
or
i = 10.8
Now,
Step 3 : Since, the index i is not an integer, round up to the nearest integer
i.e i = 11
Therefore,
The 90th percentile is the value in 11th position,
i.e 145
Answer:
<em>K = 4.8</em>
Step-by-step explanation:
<u>Equation Solving</u>
We are given the equation:
F = 95K - 455.67
We are required to find the value of K when F=0:
95K - 455.67 = 0
Adding 455.67:
95K = 455.67
Dividing by 95;
K = 4.8
Answer:
2^6
Step-by-step explanation:
2^2 + 2^4 = 2^6
6 bills in the deposit were $10 bills.
<u>Step-by-step explanation:</u>
The total number of bills he gave the teller = 24 bills
x + y = 24 ------------(1)
Let,
x be the number of $5 bills.
y be the number of $10 bills.
The total bank deposit made using $5 and $10 bills are $150.
<u>He deposits $5 bills and $10 bills. So, the equation can be framed as :
</u>
5x + 10y = 150 --------(2)
The question is asked for how many $10 bills were in the deposit,
Here 'y' is the number of $10 bills.
<u>To solve for y value :
</u>
The eq(1) must be multiplied by 5 and subtract eq(2) from eq(1),
5x + 5y = 120
-(<u>5x + 10y = 150</u>)
<u>-5y = -30 </u>
⇒ y = 30/5
⇒ y = 6
Therefore, there were 6 bills in the deposit that are $10 bills.
