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Dominik [7]
3 years ago
12

Answer all these questions for 15 points,

Mathematics
1 answer:
nydimaria [60]3 years ago
8 0

Answer:

18. 32

19.17

20.36

21.-87

22.0

23.-10

24.9>4

25.8>-8

26.7>-3

27.-3,5,4,-6

28.1,8,-7,-5

Step-by-step explanation:

For example in the 'lines' |27| it represents the number. if it were let's say |-7| to "simplify" it would make it 7. if it were |7| it would be 7. and if it was let's say -|7| it is -7 because you do |7| but the negative is in front of it still causing it to be negative. if it were -|-7| you'd do what's in the lines/parentheses so it would be - 7 so you'd have to move the negative in front of the 7 to make it negative so your answer is -7

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Consider the probability that no less than 96 out of 145 people will not get the flu this winter. Assume the probability that a
dsp73

Answer:

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

Normal probability distribution

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that \mu = E(X), \sigma = \sqrt{V(X)}.

In this problem, we have that:

n = 145, p = 0.61

So

\mu = E(X) = np = 145*0.61 = 88.45

\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{145*0.61*0.39} = 5.87

Consider the probability that no less than 96 out of 145 people will not get the flu this winter.

More than 95 people, which is the same as 1 subtracted by the pvalue of Z when X = 95. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{95 - 88.45}{5.87}

Z = 1.115

Z = 1.115 has a pvalue of 0.8676

1 - 0.8676 = 0.1324

0.1324 = 13.24% probability that no less than 96 out of 145 people will not get the flu this winter.

6 0
2 years ago
Tính : <br>a) (a+b+c)^2<br>b) (a-b-c)^2<br>c) (a+b-c)^2<br>d) (a-b+c)^2
LiRa [457]

Answer:

a.) a² + b² + c ² + 2ab + 2ac + 2bc

b.) a² + b² + c² - 2ab - 2 ac + 2bc

c ) a² + b² + c² + 2ab - 2ac - 2bc

d.) a² + b² + c² - 2ab + 2ac - 2bc

Step-by-step explanation:

  • Use ( a + b + c )² = a² + b² + c² + 2 × ab + 2 × ac + 2 × bc to expand all these expression

a) ( a + b + c )²

= a² + b² + c² + 2 × ab + 2 × ac + 2 × bc

= a² + b² + c ² + 2ab + 2ac + 2bc

b.) ( a - b - c )

= a² + ( - b )² + ( - c)² + 2a ( -b ) + 2a(-c) + 2(-b)(-c)

= a² + b² + c² - 2ab - 2 ac + 2bc

c.) ( a + b - c )²

= a² + b² + ( -c)² + 2ab + 2a ( - c) + 2 b( -c)

= a² + b² + c² + 2ab - 2ac - 2bc

d.) (a - b + c ) ²

= a² + ( -b)² + c² + 2a(-b) + 2ac + 2c( -b)

= a² + b² + c² - 2ab + 2ac - 2bc

3 0
2 years ago
Multiplication can be represented as repeated addition. Repeated multiplication leads to exponents. Use what you know about mult
Alex

Answer:

-27

Step-by-step explanation:

-3^3  (the number after ^ is the exponent)

-3 x -3 x -3

-3 x -3 = 9 (multiplying two negatives results in a positive)

9 x -3 = -27

6 0
2 years ago
Ending tie us 10:08 elsaped 30 minutes
miskamm [114]
10:38 because 10:08 plus 30 equals to 10:30.
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2 years ago
each day you read 15 pages in your textbook. use the drop-down menu to choose the correct equation that represents the total num
Crank

Answer:

15x

Step-by-step explanation:

assum 1 day you read 15 pages then after X day you reads 15*X=15X

8 0
2 years ago
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