8=10-2 or
997=1000-3
so we can use distributive property
remember, a(b+c)=ab+ac
for the first one
8(997)=(10-2)(997)=997(10-2)=997(10)+997(-2)=9970-1994=7976
2nd one
8(997)=8(1000-3)=8(1000)+8(-3)=8000-24=7976
Answer:

Step-by-step explanation:
We are given that a differential equation

We have to find the general solution of given differential equation


Compare with

We get


I.F=





Using the normal distribution, it is found that there is a 0.0005 = 0.05% probability of getting more than 66 heads.
<h3>Normal Probability Distribution</h3>
The z-score of a measure X of a normally distributed variable with mean
and standard deviation
is given by:

- The z-score measures how many standard deviations the measure is above or below the mean.
- Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.
- The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with
.
For the binomial distribution, the parameters are given as follows:
n = 100, p = 0.5.
Hence the mean and the standard deviation of the approximation are given as follows:
.
Using continuity correction, the probability of getting more than 66 heads is P(X > 66 + 0.5) = P(X > 66.5), which is <u>one subtracted by the p-value of Z when X = 66.5</u>.


Z = 3.3
Z = 3.3 has a p-value of 0.9995.
1 - 0.9995 = 0.0005.
0.0005 = 0.05%
More can be learned about the normal distribution at brainly.com/question/4079902
#SPJ1
9514 1404 393
Answer:
33√2 in ≈ 46.7 inches
Step-by-step explanation:
The diagonal of a square is √2 times the side length, so for side length s we have ...
s√2 = 66 in
s = (66 in)/√2
x = 33√2 in ≈ 46.7 in . . . . length of each side of the blanket