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3 years ago

What is meant by the 95% confidence interval of the mean?

Mathematics

1 answer:

Allisa [31]3 years ago

7 0

Answer:

Option c.

Step-by-step explanation:

Confidence interval refers to an interval such that there is a probability that the value of a parameter lies within that interval.

Therefore, $95\%$ the confidence interval of the mean means that there is a probability that the value of a parameter lies within that confidence interval.

So, option c. is correct

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How do i find the intervals on which a function is continuous?

VikaD [51]

Just remember: If a function is continuous at every value in an interval, then we say that the function is continuous in that interval. And if a function is continuous in any interval, then it is a continuous function. Thus, as long as there is no break in a graph or a line the function is continuous.

8 0

4 years ago

If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by y = 56t − 1.86t2.

Zina [86]

Answer: (a) (i)50.42 m/s (ii) 51.35 m/s (iii) 52.094 m/s (iv) 52.2614 m/s (v) 52.27814 m/s

(b) 54.14 m/s

Step-by-step explanation:

The average speed over the given time interval [a,b]: = $\frac{y(b)-y(a)}{b-a}$

Given: If an arrow is shot upward on Mars with a speed of 56 m/s, its height in meters t seconds later is given by $y = 56t − 1.86t^2.$

(a)

(i) average speed = $\frac{y(2)-y(1)}{2-1}$

$=\frac{56(2)-1.86(2)^2-(56(1)-1.86(1)^2)}{1}$

$=50.42$ m/s

(ii) average speed = $\frac{y(1.5)-y(1)}{1.5-1}$

$=\frac{56(1.5)-1.86(1.5)^2-(56(1)-1.86(1)^2)}{0.5}$

$=51.35$ m/s

(iii) average speed = $\frac{y(1.1)-y(1)}{1.1-1}$

$=\frac{56(1.1)-1.86(1.1)^2-(56(1)-1.86(1)^2)}{0.1}$

$=52.094$ m/s

(iv) average speed = $\frac{y(1.01)-y(1)}{1.01-01}$

$=\frac{56(1.01)-1.86(1.01)^2-(56(1)-1.86(1)^2)}{0.01}$

$=52.2614
$ m/s

(v) average speed = $\frac{y(1.001)-y(1)}{1.001-01}$

$=\frac{56(1.001)-1.86(1.001)^2-(56(1)-1.86(1)^2)}{0.001}$

$=52.27814
$ m/s

(b) $y(1)=56(1)-1.86(1)^2$

$=56-1.86$

$= 54.14$ m/s

3 0

3 years ago

If a coordinate is on the x or y axis then it is NOT in a quadrant. True or False?

Reil [10]

The answer: it is not in a quadrant, true

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3 years ago

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Which side lengths form a right triangle?

vampirchik [111]

Answer:

A and C

Step-by-step explanation:

$= \sqrt{ {5}^{2} + ( \sqrt{6})^{2} } \\ = \sqrt{25 + 6} \\ = \sqrt{31}$

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3 years ago

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Find the measure of angle m and give your reasons for each step

harkovskaia [24]

Answer:

m=56

Step-by-step explanation:

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2 years ago