Answer:
Graph y≤150−x (shading down)
Graph y≥120− 7/11x (shading up)
Step-by-step explanation:
Answer:
Third option : 9^10 / 9^2
Step-by-step explanation:
9^2 . 9^6
Formula / Identity : -
a^m . a^n = a^( m + n )
Here,
a = 9
m = 2
n = 6
9^2 . 9^6
= 9^( 2 + 6 )
=9^8
9^10 / 9^2
Formula / Identity : -
a^m / a^n = a^( m - n )
Here,
a = 9
m = 10
n = 2
9^10 / 9^2
= 9^( 10 - 2 )
= 9^8
Therefore,
9^10 / 9^2 is equivalent to 9^2 . 9^6.
Answer:
100
Step-by-step explanation:
First we find the mean of this set of data. We find the mean by finding the sum of data values and dividing it by the number of data values:
5+10+10+10+10+10+10+15 = 80
There are 8 data values; 80/8 = 10. The mean is 10.
To find the standard deviation, subtract the mean from each value; square the difference; add the squares; divide by the number of data values; and take the square root:
5-10 = -5; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 10-10 = 0; 15-10 = 5
(-5)^2 = 25; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 0^2 = 0; 5^2 = 25
25+0+0+0+0+0+0+25 = 50
50/8 = 6.25
√6.25 = 2.5
The standard deviation is 2.5.
This means two standard deviations, or 2σ, is 2(2.5) = 5.
This gives us μ-2σ = 10-5 = 5 and μ+2σ = 10+5 = 15.
Since all of our data is between 5 and 15, 100% is within two standard deviations of the mean.
Answer: it is closer to 0
Step-by-step explanation:
17 divided by 72 is .23 and that is less than half and closer to 0 therfore the answer is 0
Answer:
Options B, D and E
Step-by-step explanation:
From the picture attached,
AB and CE are the parallel lines and three lines AD, AC and BE are intersecting these parallel lines.
m∠A = m∠C = 90°
Therefore, AC is perpendicular to the lines AB, CD and CE.
Options B, D and E are the correct options.
