Find the perimeter of the figure below notice that one side is not given
2 answers:
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The observatory telescope has 22 times the magnifying power compared to the small telescope.
Data;
- small telescope = 150 times
- large telescope = 3300
To solve this question, we have to divide the large telescope by the small telescope to calculate it's magnifying power.
The magnification of the observatory telescope is 22 times greater or larger than the small telescope.
Learn more on division of numbers here;
Answer:
B) 0.0069
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation
, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean
and standard deviation
.
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this question, we have that:
Find the probability that their mean rebuild time exceeds 9.1 hours.
This is 1 subtracted by the pvalue of Z when X = 9.1. So
By the Central Limit Theorem
has a pvalue of 0.9931
1 - 0.9931 = 0.0069
So the answer is B.
Answer:
<em>The biggest profit that can be obtained by the shop owner= </em>IDR 2,750,000.
Step-by-step explanation:
We need to form a LPP( Linear Programming Problem) for the following problem and solve it to get the maximize the profit.
Let x denote the number of men's shoe and y denote the number of female shoes.
Maximize z= 10000x+5000y----------(1)
x≥100 ( since a shoe store owner wants to fill his shop with at least 100 pairs of men's shoes )
y≥150 (at least 150 pairs of women's shoes).
also x+y≤400 (The store can only accommodate 400 pairs of shoes).
x≤150 (male shoes should not exceed 150 pairs).
⇒ 100≤x≤150
Hence the optimal solution of an LPP always lie on the end points.
We have end points as:
(100,300), (150,250), (100,150),(150,150).
by putting these value in equation (1) we see which give the maximum solution.
for (100,300) i.e. x=100 and y=300: z=2,500,000
for (150,250) i.e. x=150 and y=250: z=2,750,000
for (100,150) i.e. x=100 and y=150: z=1,750,000
for (150,150) i.e. x=150 and y=150: z=2,250,000
Hence maximum profit is obtained at x=100 and y=300.
i.e. to maximize the profit:
<em>Number of men's shoes to be kept in store=100</em>
<em>and number of women's shoes to be kept in store=300</em>
<em>The biggest profit that can be obtained by the shop owner= </em>IDR 2,750,000.
