Answer:
The 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
Step-by-step explanation:
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) is:
Here the population standard deviation (σ) is not provided. So the confidence interval would be computed using the <em>t</em>-distribution.
The (1 - <em>α</em>) % confidence interval for population mean (<em>μ</em>) using the <em>t</em>-distribution is:
Given:
*Use the <em>t</em>-table for the critical value.
Compute the 99% confidence interval as follows:
Thus, the 99% confidence interval for the mean commute time of all commuters in Washington D.C. area is (22.35, 33.59).
Answer:
a) 0.145
b) 0.013
c) 0.783
d) 0.586
Step-by-step explanation:
a) there are always 52 cards in total, 13 hearts
Pa = 39/52 × 38/51 × 13/50 = 19266/132600 = 257/1700 =0.145
b) there are always 13 diamonds in a complete card
Pb = 13/52 × 12/51× 11/50 = 11/850 = 0.013
c) there are always 4 aces, and 48 that are not aces
Pc = 48/52 × 47/51 × 46/50 = 4324/5525 = 0.783
d) there are 13 hearts,to get at least one heart we have.
Pd = 1 - p
Where p is the probability of no hearts
p = 39/52 × 38/51 × 37/50 = 703/1700 = 0.414
Pd = 1 - 0.414
Pd = 0.586
Answer:
4(2qp + 5qr - 4s)
Step-by-step explanation:
8pq + 20qr – 16s
we can use 4 as a common factor between these numbers.
8/4 = 2
20/4 = 5
16/4 = 4
so
4(2qp + 5qr - 4s) is the most factorized answer we can get
<span>Numeral expression
is composed of numeric constants and operation while variable expression
consist of both numeric and variables constants.
d dozen of eggs converted to numerical or variable expression:
=> There are 12pieces of eggs in 1 dozen, so
that is 12x1=12
=> Therefore, the numerical value is 12 x d or simply
12d </span>
Let x represent the percent of increase in the tree's height and let n represent the number of years.
x= n (36/4343)
Hope this helps!