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SCORPION-xisa [38]
3 years ago
12

A marble is selected at random from a jar containing 10 red​ marbles, 20 yellow​ marbles, and 70 green marbles. Find the theoret

ical probability that it is either red or green.
Mathematics
1 answer:
amm18123 years ago
6 0

Answer:

Is there anymore question?

Step-by-step explanation:

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Calculate total distance?
vladimir2022 [97]

Simply find the area under the velocity curve. Over the first 3 second interval, the area is that of a trapezoid with bases 2 and 5, so that area/distance traveled is \left(\dfrac{2+5}2\dfrac{\rm m}{\rm s}\right)\cdot(3\,\mathrm s)=\dfrac{21}2\,\mathrm m. For the last 4 seconds, the area/distance is \left(5\dfrac{\rm m}{\rm s}\right)(4\,\mathrm s)=20\,\mathrm m.

Then the total distance traveled is

\dfrac{21}2\,\mathrm m+20\,\mathrm m=\dfrac{61}2\,\mathrm m=30.5\,\mathrm m

6 0
3 years ago
According to a recent study, 1 in every 10 women has been a victim of domestic abuse at some point in her life. Suppose we have
vitfil [10]

Answer:

The probability that more than 22 of the women sampled have not been the victim of domestic abuse is P=0.537.

Step-by-step explanation:

This problem can be modeled by a binomial random variable.

The probability p can be calculated as the proportion of women that <em>has not</em> been a victim of domestic abuse at some point in her life:

p=1-\dfrac{X}{n}=1-\dfrac{1}{10}=1-0.1=0.9

The sample size is n=25.

We want to calculate the probability that more than 22 of the women of the sample have not been victim of domestic abuse.

The probability that exactly k women have not been victim of domestic abuse can be calculated as:

P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{25}{k} 0.9^{k} 0.1^{25-k}\\\\\\

Then, the probability that more than 22 of the women sampled have not been the victim of domestic abuse is:

P(x>22)=P(x=23)+P(x=24)+P(x=25)\\\\\\P(x=23) = \dbinom{25}{23} p^{23}(1-p)^{2}=300*0.089*0.01=0.266\\\\\\P(x=24) = \dbinom{25}{24} p^{24}(1-p)^{1}=25*0.08*0.1=0.199\\\\\\P(x=25) = \dbinom{25}{25} p^{25}(1-p)^{0}=1*0.072*1=0.072\\\\\\\\P(x>22)=0.266+0.199+0.072=0.537

4 0
3 years ago
2X-4+3X-6<br> Simplify this equation
fomenos

Answer:

5x-10

Step-by-step explanation:

its right

8 0
3 years ago
Read 2 more answers
Choose the number from each drop-down menu that best completes the sentence,
siniylev [52]

Answer:

Maya mistake is in step 1

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
How do i find the answer to find three numbers between -0.62 and -0.61?
mestny [16]
To find three numbers between -0.62 and -0.61 you will add a number in the hundredth place.

8 0
3 years ago
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