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AlekseyPX
3 years ago
10

The probability that the bus is late on Monday is 20%, and the probability that the bus is late on Tuesday is 10%. What is the p

robability that the bus will be late on both days? Express your answer as a decimal rounded to the nearest hundredth.
Mathematics
1 answer:
Aleks [24]3 years ago
7 0
Add 20% and 10% (30%). Then, because it is two days combined, it would be 30% of 200. Divide each by 2, and there is your answer. 

<span>The probability that the bus will be late on both days is: 15%.</span>
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We have by distributivity of limits over sums, and continuity of f(x) and g(x), that

\displaystyle \lim_{x\to0} \bigg(2f(x) - g(x)\bigg) = 2 \lim_{x\to0} f(x) - \lim_{x\to0} g(x) = 2 f(0) - g(0)

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A botanist wishes to estimate the mean number of seeds for a certain fruit. She samples 11 specimens and finds the average numbe
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Answer:

a)The 98% of confidence intervals are

Lower bound of CI = 47 -3.82436 = 43.1756

Upper bound of CI = 47 + 3.82436 = 50.8243

b) The conditions are required for the validity of the interval

A) μ known

Step-by-step explanation:

<u>Explanation</u>:-

The given sample size is 'n' =11

Given the average number of seeds is 47 with a standard deviation of 7

Sample mean (x⁻) = 47

Standard deviation (S) = 7

<u>The 98% of confidence intervals are</u>

(x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02}\frac{S}{\sqrt{n} } )

(47 - t_{0.02} \frac{7}{\sqrt{11} } , 47+ t_{0.02}\frac{7}{\sqrt{11} } )

The degrees of freedom = n-1 =11-1 =10

t₀.₀₂= 1.812 ( from t - table)

now the intervals are

(47 - 1.812 \frac{7}{\sqrt{11} } , 47+ 1.812\frac{7}{\sqrt{11} } )

<u>Lower bound of CI = 47 -3.82436 = 43.1756</u>

<u>Upper bound of CI = 47 + 3.82436 = 50.8243</u>

The conditions are required for the validity of the interval

<u>A) μ known</u>

<u>Explanation</u>:-

If a random sample xi of size 'n' has been drawn from a normal population with a specified mean (μ) known.

The limit for  (μ)  is given by

(x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02}\frac{S}{\sqrt{n} } )

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3 years ago
Which expression is equivalent to x4 12x2 36?
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Multiply 4x12x2x36
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