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Valentin [98]
3 years ago
7

For the binomial distribution with the given values for n and p, state whether or not it is suitable to use the normal distribut

ion as an approximation. n = 24 and p = 0.6.
Mathematics
1 answer:
DENIUS [597]3 years ago
4 0

Answer:

Since both np > 5 and np(1-p)>5, it is  suitable to use the normal distribution as an approximation.

Step-by-step explanation:

When the normal approximation is suitable?

If np > 5 and np(1-p)>5

In this question:

n = 24, p = 0.6

So

np = 24*0.6 = 14.4

And

np(1-p) = 24*0.6*0.4 = 5.76

Since both np > 5 and np(1-p)>5, it is  suitable to use the normal distribution as an approximation.

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40 points to whoever can answer for me!
luda_lava [24]

Answer:

x≤-3      2 ≤x<7  

Step-by-step explanation:

(x^2+x-6) /(x-7) ≤0

Factor the numerator

(x+3)(x-2) / (x-7)≤0

Critical points are

X =-3  X =2  X=7

We need to check the values when

x≤3  -3 ≤ x≤2           2 ≤x<7   x>7  

(x cannot be 7 because then the denominator is zero)

and see when it is less than 0

Substitute a value in and see if factor is positive or negative

x≤-3

(negative)(negative) / (negative) =   negative

-3 ≤x≤2    

(positive)(negative) / (negative) = positive  this range does not work

      2 ≤x<7  

(positive)(positive) / (negative) = negative

x>7

(positive)(positive) / (positive)

8 0
3 years ago
Read 2 more answers
80% of what # is 16?
liraira [26]
80% of x = 16
"of" translates to multiplication and 80% becomes 80/100.

80/100 × x = 16

0.8x = 16

0.8x/0.8 = 16/0.8

x = 16/0.8

x = 20


Your final answer is 80% of 20 is 16.
4 0
3 years ago
The regular price of an item is $150. The item is on sale at a discount rate of 30%.
Aleonysh [2.5K]

Answer:

$105

Step-by-step explanation:

30% of 150 is 45.

150-45 = 105

Hope that helps

5 0
2 years ago
Read 2 more answers
Jacob walks 1.5 miles north. He turns and walks 0.8 miles west. How far is he from his starting point?
Flura [38]

Answer:

1.7 miles

Step-by-step explanation:

Given that,

Jacob walks 1.5 miles north.

He turns and walks 0.8 miles west.

We need to find how far is he from his starting point. Let he is at a distance of x miles from the starting point. It can be calculated as follows :

x=\sqrt{1.5^2+0.8^2} \\\\x=1.7\ \text{miles}

Hence, he is 1.7 miles from his starting point.

7 0
2 years ago
Ely’s team scored 62, 76, 53, and 70 points in their first four basketball games. How many points does the team need to score in
Yanka [14]
89 is the amount of points the team needs to score in the fifth game to average 70 points.

I hope this help
7 0
3 years ago
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