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3 years ago

Point C divides segment AB so that AC:AB is 2:9. Which statement is NOT true?

Mathematics

1 answer:

jeka943 years ago

5 0

Answer:

A. Point C divides segment AB so that AC:CB is 1:3

or either c

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(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

3x-7=3(x-3)+2 plz help

Evgen [1.6K]

Answer:

All real numbers are solutions.

Step-by-step explanation:

3x-7=3(x-3)+2

3x-7=3x-7

subtract 7 from both sides

3x=3x

subtract 3x from both sides

0=0

All real numbers are solutions.

6 0

2 years ago

if you have the numbers 1,4,5 and 8 in in a box and Kelly randomly chose one tile and placed it back and chose another tile what

chubhunter [2.5K]

hello

to solve this question, we need to use know the number of possible outcomes

$\begin{gathered} \text{probability = }\frac{nX}{nS} \\ S=\text{ number of possible outcomes} \\ X=\text{ number of events} \end{gathered}$

let's find the number of possible outcomes

we have four tiles numbered 1, 4, 5 and 8

possible outcomes are

$undefined$

5 0

11 months ago

Albert could race 4 times as fast as Bernard. For this reason Albert could race 48 miles in 3 hours less than it took Bernard to

Nastasia [14]

Albert runs 16 mph 0_0
Bernard runs roughly 10 mph

I don't know the time because i do not know how long the race is.

7 0

3 years ago

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Can anybody help me pls

kotegsom [21]

Answer is C

factor the quadratic and get (x+8)(x-1)=0
then use the 0 product property

5 0

2 years ago

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