A) as the exponent decreases by one, the number is divided by 5
B) as the exponent decreases by one, the number is divided by 4
C) as the exponent decreases by one, the number is divided by 3
D) 4⁰ = 4 ÷ 4 = 1
4⁻¹ = 1 ÷ 4 = 
4⁻² = ÷ 4 = 
E) 3⁰ = 3 ÷ 3 = 1
3⁻¹ = 1 ÷ 3 = 
3⁻² = ÷ 3 = 
Answer: 135 days
Step-by-step explanation:
Since the amount of time it takes her to arrive is normally distributed, then according to the central limit theorem,
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = standard deviation
From the information given,
µ = 21 minutes
σ = 3.5 minutes
the probability that her commute would be between 19 and 26 minutes is expressed as
P(19 ≤ x ≤ 26)
For (19 ≤ x),
z = (19 - 21)/3.5 = - 0.57
Looking at the normal distribution table, the probability corresponding to the z score is 0.28
For (x ≤ 26),
z = (26 - 21)/3.5 = 1.43
Looking at the normal distribution table, the probability corresponding to the z score is 0.92
Therefore,
P(19 ≤ x ≤ 26) = 0.92 - 28 = 0.64
The number of times that her commute would be between 19 and 26 minutes is
0.64 × 211 = 135 days
2.73972603 or ... you can round to the nearest tenth... 2.7
We know that
if <span>QT is an altitude of triangle QRS
then
</span><span>the measure of angle QTS is equal to 90</span>°
so
6x+36=90-----> 6x=90-36----> x=54/6
x=9
QR=2x-5-----> QR=2*9-5-----> QR=18-5-----> QR=13
the answer is
QR=13
Answer: Option C. [0.95, 1.59].
Step-by-step explanation:
We know that the mean is:
M = 1.27
and the margin of error is:
e = 0.32
This means that the actual value can be at a maximum distance of 0.32 from the mean.
then the interval will be:
[M - e, M + e].= [1.27 - 0.32, 1.27 + 0.32].= [0.95, 1.59].
The correct option is C.
