If you apply "Shift 5 units to the right" and "Shift 4 units down." to the absolute value parent function, f(x) = 1x1 you have g(x)=|x+ 5| f(x) = |x|-4. Option A. This is further explained below.
<h3>What is a
function?</h3>
Generally, a function is simply defined as an expression, rule, or law in arithmetic that establishes a link between two variables.
In conclusion, The value is added to x well before the operator with a horizontal shift left.
Hence, f(x) = |x+5|
Because this is a downshift, the vertical movement will be beyond the bars for this function, Hence f(x) = |x|-4
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Five voted for green or yellow and 10 voted for red or blue
Answer:
a. Mean = 6
Variance = 2.4
Standard Deviation = 1.55
b. P(X=16) = 0.124
Step-by-step explanation:
Given
n = Total shots = 10
p = Probability of success = 60%
p = 60/100
p= 0.6
q = Probability of failure
q = 1-p
q = 1 - 0.6
q = 0.4
a.
Mean = np
Mean = 10 * 0.6
Mean = 6
Variance = npq
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Standard Deviation = √Variance
Standard Deviation = √2.4
Standard Deviation = 1.549193338482966
Standard Deviation = 1.55 --------- approximated
b.
We have X = 16
x = 10
Assume that the events "success" on the various throws are independent.
The 10th success came on the 16th attempt
So, the player had exactly 10 successes and 6 failures on 16th trial
So Probability = nCr 0.6^10 * 0.4^6
Where n = 15 and r = 9 (number of attempts and success before the 16th trial)
15C9 * 0.6^10 * 0.4^6
= 5005 * 0.0060466176 * 0.004096
= 0.123958563176448
= 0.124 ------ Approximated
Answer:
c+2<1
on the number line, c is like -1.1 and 2-1.1 is .9 and .9>1
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