Answer:
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
Step-by-step explanation:
According to the given data we have the following:
mean = μ= 22
standard deviation = σ = 2
n = 100
μx = 22
σx=σ/√n=2/√100=0.2
Therefore, P( x < 21.8)=P(x-μx)/σx<(21.8-22)/0.2
=P(z<-1)
= 0.159
The probability that the average age of a randomly selected sample of 100 students will be less than 21.8 years is 0.159
If we have:
logₐy = (logₓy) / (logₓa) By change of base formula.
log₁₀65 = (log₁₀₀₀65) / (log₁₀₀₀10)
(log₁₀₀₀65) = log₁₀65 * (log₁₀₀₀10)
log(₁₀₀₀10) = 1/ (log₁₀1000) = 1/(log₁₀10³) = 1/3
(log₁₀₀₀65) = (log₁₀65) * (log₁₀₀₀10)
(log₁₀₀₀65) = 1.812 * (1/3)
(log₁₀₀₀65) = 0.604
I hope this helps.
Step-by-step explanation:
Let the number be x
160% of x=144
then we cross multiply
divide both sides by 160
therefore the number is 90
The slope of a line is defined as rise by run i.e.
how much y value changes with respect to the
change in × value. So the slope gives the
steepness of the line.
Slope O indicates there is no change in y when
the x value is changed and so the line with
slope 0 is a horizontal line. A line with slope 1
shows with 1 unit change in ×, y changes by 1
unit. Likewise slope equal 2 indicates with 1 unit
change in ×, y changes by 2 units.
We can see as the absolute value of slope is
increasing, the change in y with respect to x is
increasing i.e. the line is becoming more tilted or
steep.
Hence, we can conclude that:
The graph of a line gets Steeper as the absolute
value of the slope gets bigger.
C is the correct answer.
Answer:
the answer is 7•2=2•7
Step-by-step explanation:
Hope it helps.
