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Ganezh [65]
3 years ago
15

A bag contains 2 yellow marbles and 5 red marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a

second marble is drawn. What is the probability that the first marble is red and the second one is yellow?
Mathematics
1 answer:
Sergio039 [100]3 years ago
3 0

Answer:

Number of red balls = 5  Number of orange balls = 2

Number of yellow balls = 1

Number of green balls = 2

Therefore total number of balls = 10.

Probability of getting a ball =   P(choosing orange ball) =  After picking an orange ball, we are left with 9 ballsP ( choosing a green ball) = P(choosing an orange marble and a green marble) = 0.04444 is the approximate probability of choosing an orange marble and a green marble.

Step-by-step explanation:

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3 years ago
Pls help i am in k12
suter [353]

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Step-by-step explanation:

7 0
3 years ago
A computer manufacturing company has sent a mail survey to 2,800 of its randomly selected customers that have purchased a new la
vodka [1.7K]

Answer:

The 96% confidence interval for the population proportion of customers satisfied with their new computer is (0.77, 0.83).

Step-by-step explanation:

We have to calculate a 96% confidence interval for the proportion.

We consider the sample size to be the customers that responded the survey (n=800), as we can not assume the answer for the ones that did not answer.

The sample proportion is p=0.8.

p=X/n=640/800=0.8

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.8*0.2}{800}}\\\\\\ \sigma_p=\sqrt{0.0002}=0.014

The critical z-value for a 96% confidence interval is z=2.054.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=2.054 \cdot 0.014=0.03

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.8-0.03=0.77\\\\UL=p+z \cdot \sigma_p = 0.8+0.03=0.83

The 96% confidence interval for the population proportion is (0.77, 0.83).

4 0
3 years ago
2 planes leave the airport at the same time. their speeds are 140 mph and 170 mph and the angle between their courses is 25 degr
Damm [24]

Answer:

183.27miles

Step-by-step explanation:

Note that we are considering two planes.

Plane 1

Speed = 140 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

140 mph = distance/2.5hrs

Distance = 140×2.5

= 350miles

Plane 2

Speed = 170 mph

Time = 2.5 hours

Distance = ?

Speed = distance/time

170 mph = distance/2.5hrs

Distance = 170×2.5

= 425miles

The angle between side is 25 degree

From cosine rule

c^2 = a^2 + b^2 − 2abcos(tetha)

Where a = 350

b = 425miles

c^2 = 350^2+425^2-2(350×425)(cos25)

c^2 = 122500+180625-297500(0.906)

c^2 = 303125-269535

c^2 = 33590

C = √33590

C = 183.27miles

The distance they flew apart after 2.5hrs is 183.27miles

5 0
3 years ago
Write an equation for each translation of .
alexdok [17]

Answer:

<h2>y = |x - 5.5|</h2>

Step-by-step explanation:

y = f(x) + n - moves the graph n units up

y = f(x) - n - moves the graph n units down

y = f(x + n) - moves the graph n units to the left

y = f(x - n) - moves the graph n units to the right

===================================================

5.5 units to the right

y = f(x - 5.5) = |x - 5.5|

7 0
3 years ago
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