Answer:
$10665,64
Step-by-step explanation:
S=19900*(1-(7,5/100))^8=10665, 64
If triangle ABC is congruent to triangle DEF, then EF = BC = 27
This is because BC and EF are the last two letters of ABC and DEF respectively. They match up and correspond, being congruent by CPCTC
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Similarly, if triangle ABC is congruent to triangle DEF, then angle D = angle A = 49 degrees
The letter D and the letter A are the first letters of DEF and ABC respectively. So they match up and are congruent by CPCTC
CPCTC = Corresponding Parts of Congruent Triangles are Congruent
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So in short, the answer is choice B) 27; 49
Answer:
50% probability that a randomly selected respondent voted for Obama.
Step-by-step explanation:
We have these following probabilities:
60% probability that an Ohio resident does not have a college degree.
If an Ohio resident does not have a college degree, a 52% probability that he voted for Obama.
40% probability that an Ohio resident has a college degree.
If an Ohio resident has a college degree, a 47% probability that he voted for Obama.
What is the probability that a randomly selected respondent voted for Obama?
This is the sum of 52% of 60%(non college degree) and 47% of 40%(college degree).
So

50% probability that a randomly selected respondent voted for Obama.
Answer:
option C.
Step-by-step explanation:
The given graph is the bell shaped graph.
From the graph we can observe that the peak is at 69.
So, the mean of the data is = 69 .
Standard deviation is the deviation of the graph from the mean value.
= 72-69 = 3
Hence, the standard deviation is equal to 3.
So, the correct answer is option C.
Hey there!
When we're adding with different denominators, our goal is to keep the equivalent fraction, but create like denominators.
Let's think of an easier situation. If we have the number 5 and we want an equivalent number, we multiply by one. It's no different with fractions. We want to multiply by some version of one, like 2/2 or 4/4
For example, if we have:
2/8 + 4/6
Our LCM is 24. Therefore, we multiply 2/8 by 3/3:
2/8(3/3) = 6/24
And 4/6 by 4/4:
4/6(4/4) = 16/24
As you can see, we multiplied by versions of 1, so they're still the same fraction.
We have:
16/24 + 6/24 = 22/24 = 11/12
Hope this helps!