Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
Minimum 80
Quartile 1 (Q) 215
Median 335
Quartile 3 (Q3) 380
Maximum 440
Population IQR
IQR = Q3 - Q1 = 380 - 215 = 165
A.)
Dot at 240
The dot plot shows the sample distribution of interquartile range, hence, all the points on the plot represents the interquartile range for 50 different samples.
Hence, the dot at 240 represent the interquartile range value of one of the 50 sample distributions.
B.)
According to the sampling distribution chart, the graph form a bell shaped curve and loos fairly symmetric, hence we could conclude thatvthe mean IQR of the sampling distribution is about 165.
Since population IQR is also 165 ; we can conclude that sampling distribution OF IQR is an unbiased estimator of population IQR.
Answer:
the length of DB is 17 in
Step-by-step explanation:
Consider the sketch attached.
We will draw an imaginary line from point C to met line AB at point E.
A right-angled triangle will now be formed between points CBE.
The dimensions of the right-angled triangle will be:
CB = 10 in
CE= 8 in
EB = unknown
We will now proceed to find out the length of side EB using the Pythagoras' theorem.
From the shape, we can find out that another right-angled triangle is made between points DAB.
The dimensions of the triangle are:
DA= 8in
AB = 9 in + 6 in = 15 in
DB = unknown.
We will now proceed to find out the length of side DB using the Pythagoras' theorem.
Therefore, the length of DB is 17 in
A. It falls to the left and falls to the right and has an axis symmetry at x= -5
A. True. Summing any rational number with an irrational number leads to an irrational result. The proof is a bit lengthy so I'm leaving it out.
B. True. Adding p/q with r/s leads to (ps+qr)/(qs) which is rational. Keep in mind that q and s cannot be zero.
C. False. One counter example is sqrt(3)*sqrt(12) = sqrt(3*12) = sqrt(36) = 6. This shows the product of two irrational numbers, in this case sqrt(3) and sqrt(12), multiplying to get a rational result 6 = 6/1.
D. True. Multiplying p/q and r/s leads to (p*r)/(q*s) which is rational. Keep in mind that q and s cannot be zero.
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The final answer is choice C
I believe 3.7 is your answer
