<em>Note: It seems you may have unintentionally missed adding the answer choices. Thus, I am solving your question in general to give you the idea of how the percentage works, which anyways would solve your query.</em>
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Answer:
Please check the explanation.
Step-by-step explanation:
Given that we have to determine the expressions which are equivalent to 20 percent of 150.
First, we need to determine what actually 20 percent of 150 really brings.
i.e
20% of 150 = 20/100 × 150
= 30
Thus,
20% of 150 = 30
Therefore, any expression that is equivalent to 30 will be included in the answer to this question.
C.) Are the same length
<u>How you know-</u>
No matter how long the rectangle is the diagonals always will measure the same length. Think about two sides of a square, they have to equal the same length because if they were not the same then the shape wouldn't be a square.
Answer:
One mass's kinetic energy is 4 times the other.
Step-by-step explanation:
The formula for kinetic energy is
Where
KE is the kinetic energy
m is the mass
v is the velocity
- Now, let mass of the first be m (second is identical so mass of 2nd is m as well)
- Let velocity of the first one be v. Since 2nd one is travelling twice as fast, its velocity will be 2v
<u>KE of 1st mass is:</u>
<u />
<u>KE of 2nd mass is:</u>
Hence, the kinetic energy of the 2nd mass is 4 times the first.
Answer:
$120.00
Step-by-step explanation:
2000/100 = $20 = 1%
20x12 = $240 = annual intrest = 12m
June 15 - December 15 = 6m
240/2 = $120 for half a year intrest!
Answer:
And we can find this probability with the following difference and using the normal standard table or excel we have:
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the following difference and using the normal standard table or excel we have: