Answer:
Arc MP = 118 degrees
Step-by-step explanation:
From what we have;
Arc MP = PN - MN
for PN, we can see that we have a right triangle; that means the arc measure is 180 degrees
So PN is 180
Now, for MN, we are going to use angle-arc relationship
From what we have;
MN = 2 * 31 = 62 degrees
So we have the measure of MP as;
180 -62 = 118 degrees
Answer:
0.2207
Step-by-step explanation:
Here, we want to find the probability that the sample mean is greater than 25.
What we use here is the z-scores statistic
Mathematically;
z-score = (x-mean)/SD/√n
From the question;
x = 65, mean = 63, SD = 13 and n = 25
Plugging these values in the z-score equation, we have
Z-score = (65-63)/13/√25 = 2/13/5 = 0.77
So the probability we want to calculate is ;
P(z > 0.77)
This can be obtained from the standard normal distribution table
Thus;
P(z > 0.77) = 0.22065 which is 0.2207 to 4 d.p
Answer:
B. 51.1°
Step-by-step explanation:
You're gonna want to use sine on this one.
Sin(x) = 7/9
x = sin^-1(7/9)
x ≈ 51.1
The empirical rule tells you 68% of normally-distributed observations are within 1 standard deviation of the mean.
_____
This is a number you may want to memorize, along with the numbers for 2 (95%) and 3 (99.7%) standard deviations.
Answer:
14x+30y-20
Step-by-step explanation:
14(x+y)=14x+14y
14y+y=15y+15y=30y
and there is no like terms for -20 and 14x so the answer is
14x+30y-20
