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skelet666 [1.2K]
3 years ago
9

Ron and Ben had a total of 700 playing cards. After Ron gave away 40% of his playing cards and Ben gave away 20% of his playing

cards, they each had an equal number of cards. How many more picture cards did Ron have than Ben at first?
Mathematics
1 answer:
allsm [11]3 years ago
5 0
Ron had 140 picture cards more than Ben
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A machine that cuts corks for wine bottles operates in such a way that the distribution of the diameter of the corks produced is
Norma-Jean [14]

Answer:

A. P(x<3.85 or x>4.15)= P(x<3.85)+P(x>4.15) = 0.1336

Step-by-step explanation:

Working with an ordinary Normal Distribution of probability and trying to find the probabilities asked in it could be difficult, because there´s no easy method to find probabilities in a generic Normal Distribution (with mean μ=4 and STD σ=0.1). The recommended approach to this question is to use a process called "Normalize", this process let us translate the problem of any Normal Distribution to a Standard Normal Distribution (μ=0 and σ=1) where there´s easier ways to find probabilities in there. The "Normalization" goes as follows:

Suppose you want to know P(x<a) of the Normal Distribution you are working with:

P(x<a)=P( (x-μ)/σ < (a-μ)/σ )=P(z<b)   ( b=(a-μ)/σ )

Where μ is the mean and σ is the STD of your Normal Distribution. Notice P(z<b) now it´s a probability in a Standard Normal Distribution, now we can find it using the available method to do so. My favorite is a chart (It´s attached to this answer) that contains a lot of probabilities in a Standard Normal Distribution. Let´s solve this as an example

A. We want to find the probability of the cork being defective (P(x<3.85) + P(x>4.15)). Now we find those separated and, then, add them for our answer.

Let´s begin with P(x<3.85), we start by normalizing that probability:

P(x<3.85)= P( (x-μ)/σ < (3.85-4)/0.1 )= P(z<-1.5)

And now it´s time to use the chart, it works like this: If you want P(z<c) and the decimal expansion of c=a.bd... , then:

P(z<c)=(a.b , d)

Where (a.b , d) are the coordinates of the probability in the chart. Keep in mind that will only work with "<" (It won´t work directly with P(z>c)) and we will do some extra work in those cases.

P(z<-1.5) is in the coordinates (-1.5 , 0)

P(z<-1.5)= 0.0668

P(x<3.85)= 0.0668

Now we are looking for P(x>4.15), let´s Normalize it too:

P(x>4.15)=P( (x-μ)/σ < (4.15-4)/0.1 )=P(z>1.5)

But remember the chart only work with "<", so we need to use a property of probability:

P(z>1.5)= 1 - P(z<1.5)

Using the chart:

P(z<1.5)=0.9332                             (1.5 , 0)

P(z>1.5)= 1 - 0.9332

P(z>1.5)= 0.0668

P(x>4.15)= 0.0668

And our final answer will be:

P(x<3.85 or x>4.15)= P(x<3.85)+P(x>4.15) = 0.1336

4 0
3 years ago
Scientific notation 100400
ad-work [718]
1.004 * 10^5
all scientific notation equations have to be a number greater than 1 but less than 10
then multiplied by 10 to the power of (move the decimal point to the right however many times you need, in this case 5) :)
5 0
3 years ago
Can yall help me I really need this done. <br> Thank you much love
Ulleksa [173]

Let's use the furthest left point on the triangle to figure out the translation.

Blue triangle = (-5,1)

Black triangle = (-3,-1)

To get from -5 to -3 we moved the triangle 2 units to the right, which means that we added 2.

To get from 1 to -1, we moved the triangle 2 units down, which means we subtracted 2.

Rule: {2, -2}

Hope this helps!

5 0
3 years ago
1/3×(9x + 3) = 3x = - 1 3​
balu736 [363]

Answer:

1/3* (9x-6) = 2x+3

⇒ (1/3)(9x)- (1/3)*6 = 2x+3 (distributive property)

⇒ 3x - 2= 2x + 3

⇒ (3x-2x) -2 = (2x-2x) +3

⇒ x-2=3

⇒ x +(-2+2) = 3+2

⇒ x= 5.

Step-by-step explanation:

pls i beg u pls mark me as a brainlliest

3 0
3 years ago
Robert says his better long jump was about 1 foot farther than May's better long up. Is he correct? Explain.
Alborosie
We need mor information to tell what there best long jumps are
3 0
3 years ago
Read 2 more answers
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