Answer:
900m
Step-by-step explanation:
A=wl
W=25
L=12
A=25 x 12
A= 300
300 meters x 3 laps = 900 meters walked
A) 180 would be expected to pass.
B) The standard deviation is 4.
C) 95% of people would fall between 172 and 188.
D) Yes, this is more than 3 standard deviations below the mean.
Explanation
A) Multiply the probability by the sample size:
0.6(300) = 180
B) Standard deviation is found by:
√n(p)(1-p)
For our data, we have:
√300(0.6)(0.4) = 4
C) Two standard deviations below the mean is 180-2(4) = 172; two standard deviations above the mean is 180+2(4)= 188.
D) Three standard deviations below the mean is 180-3(4) = 168; 134 is more than this below the mean. 99.7% of data fall within 3 standard deviations of the mean; 0.15% fall below this point, so yes, this is unusually low.
Answer:
Hi there!
Your answer is:
D: 18.00$
Step-by-step explanation:
First, we plug in all the numbers under the columns "Kitchen Sink", "Bathroom Sink" and "Shower" in our matrix calculator as A. Then, we plug in all the numbers under "Total Selling Price" in our matrix calc as B. Then, we perform the equation A^-1 * B. We will look to the 3rd row for this, since shower is our "z" and the third row represents z
Since profit is determined by .15 * 120, we calculate this. Your answer is 18.
Hope This Helps
<u>Edge Tested & Approved</u>
Answer:
Yes
Step-by-step explanation:
ΔMNL ≅ ΔQNL by ASA or AAS
by ASA
Proof:
∠ LNM = ∠LNQ =90
LN = LN {Common}
∠MLN = ∠QLN {LN bisects ∠ L}
By AAS
∠Q + ∠QLN + ∠LNQ = 180 {Angle sum property of triangle}
∠Q + 32 + 90 = 180
∠Q + 122 = 180
∠Q = 180 -122 =
∠Q = 58
∠Q = ∠M
∠MNL =∠QNL = 90
LN = LN {common side}
Answer:
C. 5 weeks.
Step-by-step explanation:
In this question we have a random variable that is equal to the sum of two normal-distributed random variables.
If we have two random variables X and Y, both normally distributed, the sum will have this properties:

To calculate the expected weeks that the donation exceeds $120, first we can calculate the probability of S>120:

The expected weeks can be calculated as the product of the number of weeks in the year (52) and this probability:

The nearest answer is C. 5 weeks.