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3 years ago

15

What does a rational number plus an irrational number equal?

1 answer:

galben [10]3 years ago

3 0

The sum must be irrational in contradiction to it being rational

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Find n. Perimeter = 86 in.

FromTheMoon [43]

Let the length of rectangle be L and the width of rectangle be W.
Since length exceeds the width by 25 inches, length will be
L = W + 25

Now the perimeter, P, is given by
P = 2(L + W)
Substituting L = W + 25 in the above equation,
P = 2(W + 25 + W)
P = 2(2W + 25)
P = 4W + 50
But P = 86 inches
P = 4W + 50 = 86
4W = 86 - 50 = 36
W = 36/4 = 9

Hence, width W = 9 inches.
Length L = W + 25 = 9 + 25 = 34 inches.

5 0

4 years ago

Choose the correct graph of the function y=2^3√x-3+2 .

loris [4]

Answer:

the graph is on the photo

Step-by-step explanation:

6 0

2 years ago

Suppose that the mean of your 50 rolls is x = 3.25. Are you suspicious about the fairness of the die? Justify your answer.

Romashka-Z-Leto [24]

Answer:

3.25x50=21

Step-by-step explanation:

6 0

3 years ago

(Uniform) Suppose X follows a continuous uniform distribution from 4 to 11. (a) Write down the PDF of X. (b) Find P(X ≤ 7). Roun

love history [14]

Answer:

a) $f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

b) $P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

c) $P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

d) $P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

Step-by-step explanation:

For this case we assume that the random variable X follows this distribution:

$X \sim Unif (a=4, b =11)$

Part a

The probability density function is given by the following expression:

$f(x) = \frac{1}{b-a} , a \leq x \leq b$

$f(x)= \frac{1}{11-4}= \frac{1}{7}, 4 \leq x \leq 11$

Part b

We want this probability:

$P(X \leq 7)$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}= \frac{x-4}{11-4}$

And replacing we got:

$P(X\leq 7) = F(7) = \frac{7-4}{11-4}= 0.4286$

Part c

We want this probability:

$P(5 < X \leq 7)$

And we can use the CDF again and we have:

$P(5 < X \leq 7)= F(7) -F(5) = \frac{7-4}{7} -\frac{5-4}{7}= 0.2857$

Part d

We want this conditional probabilty:

$P(X >5 | X \leq 7)$

And we can find this probability with this formula from the Bayes theorem:

$P(X >5 | X \leq 7)= \frac{P(X>5 \cap X \leq 7)}{P(X \leq 7)}= \frac{P(5$

7 0

3 years ago

5(2r+6)-12r ; Simplify

Alik [6]

First, use distributive property:

5(2r+6)-12r <em>The original expression; multiply 5 by 2r, and 5 by 6.</em>

10r+30-12r <em>Keep the -12r, just add it on to the end of the number(s) you found</em>

Next, use communitive property:

10r+30-12r <em>What we found in the previous step</em>

-2r+30 <em>Combine the like terms; 10r-12r=-2r, then place the 30 at the end</em>

Done! Your answer is -2r+30.

Hope that helps!

7 0

3 years ago