if √1.225=1.107,√12.25=3.5 and √100=10, evaluate √12.25. solve this is my assignment tomorrow in school
1 answer:
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Answer:
Step-by-step explanation:
we know that
The surface area of a rectangular prism is equal to
where
B is the area of the base
P is the perimeter of the base
h is the height
In this problem we have
substitute
The answers are:
a = c
c = d
b + d =180 degrees
Here's how:
When a line intersects two parallel lines, then corresponding angles are formed which means the same corners are congruent.
option c = d is considered.
And, because of vertical angles,
a = d is also an answer.
Below is an attached picture of the figure
a = c
c = d
b + d =180 degrees
Here's how:
When a line intersects two parallel lines, then corresponding angles are formed which means the same corners are congruent.
option c = d is considered.
And, because of vertical angles,
a = d is also an answer.
Below is an attached picture of the figure
Using the Central Limit Theorem, we have that:
a) Yes, it can be used, as np > 10 and n(1 - p) > 10.
b) There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
<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.
- By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean
and standard deviation
, as long as
and
.
For the sample, we have that:
- np = 85 > 10.
- n(1 - p) = 15 > 10.
Hence the normal approximation can be used.
As for part B, if we have p = 0.9 and n = 100, the mean and the standard error are given by:
.
The probability of a sample proportion of 85% of less is the <u>p-value of Z when X = 0.85</u>, hence:
By the Central Limit Theorem
Z = -1.67
Z = -1.67 has a p-value of 0.0475.
There is a 0.0475 = 4.75% probability that the proportion in the random sample of 100 orders is the same as the proportion found in the audit sample or less.
More can be learned about the Central Limit Theorem at brainly.com/question/24663213
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