Answer:
Original function:
f(x) = log2(x)
Transformed function:
f(x) = -log2(x - 1) + 2
The transformation process is to take f(x)=log2(x) and shift it to the right 1 unit and shift 2 units up. Then flip it down.
A log cannot have a negative value for an argument. Set the argument greater than zero.
x - 1 > 0
x > 1
The domain is all values greater than 1.
To find the range, use the domain.
Evaluate f(1.00001), f(2) , f(200), and f(2000)
Then use those values to determine the range.
Answer:
__63.81 inches__< μ <___65.87 inches__
Step-by-step explanation:
To calculate at 95% confidence interval, we need the Mean of the sample= 64.84
Sample size=32
Standard Deviation=2.9592
95% Confidence Interval: 64.84 ± 1.03
(63.81 inches to 65.87 inches)
"With 95% confidence the population mean is between 63.81 and 65.87, based on 32 samples."
Answer:
16.67
Step-by-step explanation:
3/7=0.42 and 21/3=7 and 7/0.42=16.67
Answer:
The correct option is;
ΔCED ~ ΔCAB
Step-by-step explanation:
Given that the translation maps angle ∠D to angle ∠B, we have;
Angle ∠D is congruent to ∠B (Given)
Segment ED is parallel to segment AB (lines having similar angles to a common transversal)
Therefore, ∠A is congruent to ∠E, (Angle on the same side of a transversal to two parallel lines)
∠C is congruent to ∠C reflexive property
Therefore, we have;
∠C ≅ ∠C
∠E ≅ ∠A
∠D ≅ ∠B
Which gives ΔCED is similar to ΔCAB (not ΔCBA)
30 minutes for each girl. 30min x 4girls = 120min for all girls. 120/60=2 hrs
