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Paraphin [41]
3 years ago
7

Why is it necessary to check that n modifyingabove p with caret greater than or equals 5np≥5 and n modifyingabove p with caret g

reater than or equals 5nq≥5​?
Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0
It is important to check both conditions
np ≥ 5
nq = n(1 - p) ≥ 5
when you try to approximate a binomial distribution with a normal distribution.

If these two conditions are verified, it means that the sample is "big enough" to use the approximation, otherwise, the normal distribution does not fit well enough the binomial distribution and the values of mean, etc, could be different. 
Therefore if those conditions are not verified, the normal distribution is not suitable to represent the binomial distribution.
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William has 24 24 cans of fruit and 60 60 cans of vegetables that he will be putting into bags for a food drive. He wants each b
Snezhnost [94]

Answer:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

Step-by-step explanation:

Given:

Number of fruits cans = 24

Number of veggies cans = 60

William will have to distribute them in equal bags with equal cans of fruits and vegetables respectively.

For this:

We have to find the GCF (greatest common factor) of 24 and 60.

GCF by listing out the factors method.

Factors of 24  : 1,2,3,4,6,8,12,24

Factors of 60 : 1,2,3,4,5,6,10,12,15,20,30,60

So,

The greatest common factor of 24 and 60 is 12.

The number of bags William will used for equal distribution = 12

Now,

We have to distribute the veggies and fruits in equal number of cans to these 12bags.

Number of fruits cans used in each bag = \frac{24}{12} = 2

Number of vegetables can used in each bag = \frac{60}{12} =5

We can say that:

William will make 12 bags of food and each of the bag will contains 2 cans of fruit and 5 cans of vegetables.

4 0
2 years ago
Which of the following points are on the line given by the equation y = 5x?
ivanzaharov [21]

Answer:

C and E

Step-by-step explanation:

To answer this question, we plug in the X values of the coordinates into the equation to see if they'll give us the corresponding Y value.

(X, Y)

Example:

Y = 5X

6 != 5 * 3

We do this for every coordinate point. If the problem doesn't make sense, it doesn't fall on the line. Let's test every one of these.

B. (0, 1)

1 != 5 * 0

C. (3, 15)

15 = 5 * 3

D. (4, 2)

2 != 5 * 4

E. (-1, -5)

-5 = 5 * -1

F. (-1, 5)

5 != 5 * -1

* For those who don't know, the !=  is how to say "not equal to" in computer science.

3 0
3 years ago
What is 11/15= 8/15-w
victus00 [196]

Answer: w= 1/5

Step-by-step explanation:

11/15=8/15 -w

-W= 8/15 -11/15

-w= 8-11/15 =-3/15

-w=-3/15

w=3/15= 1/5

4 0
3 years ago
What is r=10cos theta in rectangular form
grigory [225]
r=10\cos\theta\implies r^2=10r\cos\theta\implies x^2+y^2=10x
5 0
3 years ago
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lianna [129]

Answer:

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Step-by-step explanation:

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