Answer: D
<u>Step-by-step explanation:</u>
f(x) = 2x g(x) = x² - 1
f(g(x)) = 2(x² - 1)
= 2x² - 2
g(f(x)) = (2x)² - 1
= 4x² - 1
Answer:
P(K > 2.2) = 0.1375
Step-by-step explanation:
We have that:
P(-2.2 ≤ K ≤ 2.2) = 0.725
P(K < -2.2) = P(K > 2.2)
It means that the distribution is symmetric.
The sum of all the probabilities is decimal 1.
We have the following probabilities:
P(K < 2.2)
P(-2.2 ≤ K ≤ 2.2)
P(K > 2.2)
So
P(K < 2.2) + P(-2.2 ≤ K ≤ 2.2) + P(K > 2.2) = 1
Since P(K < 2.2) = P(K > 2.2)
P(K > 2.2) + P(-2.2 ≤ K ≤ 2.2) + P(K > 2.2) = 1
2P(K > 2.2) + 0.725 = 1.
2P(K > 2.2) = 1 - 0.725
2P(K > 2.2) = 0.275
P(K > 2.2) = 0.275/2
P(K > 2.2) = 0.1375
Simple interest, I = 101.40
Time, t = 6 years
interest, i = 1.3%
Interest, I=Pit, rearrange
Principal, P=I/(it)=101.40/(6*0.013)=1300
Answer:
The correct options are 2 and 4.
Step-by-step explanation:
From the given box plot it is clear that
We know that these number divides the data in four equal parts.
25% of the data values lies between 50 and 110. Therefore option 1 is incorrect.
Seventy-five percent of the data values lies between 20 and 50. Therefore option 2 is correct.
It is unlikely that there are any outliers. This statement is not true because the is a huge difference between third quartile and maximum value.
Therefore option 3 is incorrect.
The interquartile range is
Therefore option 4 is correct.
The range is
Range = Maximum-Minimum
Therefore option 5 is incorrect.
Answer:
16 = 1 x 16, 2 x 8, or 4 x 4. Factors of 16: 1, 2, 4, 8, 16. Prime factorization: 16 = 2 x 2 x 2 x 2,
Step-by-step explanation:
which can also be written 16 = 2⁴. Since √16 = 4, a whole number, 16 is a perfect square
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