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Arlecino [84]
3 years ago
7

NEED HELP PLEASE ASAP! please don’t waste my time i need this grade.

Mathematics
1 answer:
Arlecino [84]3 years ago
8 0
Hmm I think the answer is 95%
1 standard deviation is 13
To find out the range of scores that fit 1 standard deviation from the mean, you would have to take away and add 13 from the mean (133) this gives a range of 120-146 which isn’t right because you’re looking for 107-159.
Next, look for 2 standard deviations from the mean which is just 13 x 2=26.
To find the range of scores that are 2 standard deviations from the mean take away and add 26 to the mean (133) which gives a range of 107-159. This is the correct answer.
2 standard deviations represents 95% of the data. That’s why I think the answer is 95%.

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Answer:

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Step-by-step explanation:

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Although cities encourage carpooling to reduce traffic congestion, most vehicles carry only one person. For example, 64% of vehi
ira [324]

Answer:

a) 0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

b) 0.996 is the probability that more than half of the vehicles  carry just one person.    

Step-by-step explanation:

We are given the following information:

A) Binomial distribution

We treat vehicle on road with one passenger as a success.

P(success) = 64% = 0.64

Then the number of vehicles follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

We have to evaluate:

P(x \geq 6) = P(x =6) +...+ P(x = 10) \\= \binom{10}{6}(0.64)^6(1-0.64)^4 +...+ \binom{10}{10}(0.64)^{10}(1-0.79)^0\\=0.7291

0.7291 is the probability that more than half out of 10 vehicles carry just 1 person.

B) By normal approximation

Sample size, n = 92

p = 0.64

\mu = np = 92(0.64) = 58.88

\sigma = \sqrt{np(1-p)} = \sqrt{92(0.64)(1-0.64)} = 4.60

We have to evaluate the probability that more than 47 cars carry just one person.

P(x \geq 47)

After continuity correction, we will evaluate

P( x \geq 46.5) = P( z > \displaystyle\frac{46.5 - 58.88}{4.60}) = P(z > -2.6913)

= 1 - P(z \leq -2.6913)

Calculation the value from standard normal z table, we have,  

P(x > 46.5) = 1 - 0.004 = 0.996 = 99.6\%

0.996 is the probability that more than half out of 92 vehicles carry just one person.

5 0
3 years ago
A fair dice has six sides, numbered 1 to 6
Ivanshal [37]

Answer:

a. 1/6

Step-by-step explanation:

for a, there is only one side that has three

8 0
2 years ago
Please helpp quick! i have no idea what the answer is
aleksley [76]

Answer:

C

Step-by-step explanation:

point-slope equation is y-y1=m(x-x1)

y1=2

x1=6

m=(-5/7)

so the equation is y-2=-5/7(x-6)

hope this helps :3

5 0
3 years ago
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