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Ilia_Sergeevich [38]
2 years ago
14

There are 11 books on a shelf. 3 of these books are new. The rest of them are used.

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
4 0
Sooo , 8? Is there more to the question
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write a numerical expression to represent "20 minus the product of 5 and 2. then evaluate your expression. PLEASE HELP I DON'T H
Shalnov [3]

Answer:

10

Step-by-step explanation:

20-(5×2)

5×2=10

20-10=10

6 0
2 years ago
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Assume the sample variances to be continuous measurements. Find the probability that a random sample of 25observations, from a n
konstantin123 [22]

Answer:

a) P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

b)P(13.848Step-by-step explanation:

Previous concepts

The Chi Square distribution is the distribution of the sum of squared standard normal deviates .

For this case we assume that the sample variance is given by S^2 and we select a random sample of size n from a normal population with a population variance \sigma^2. And we define the following statistic:

T = \frac{(n-1) S^2}{\sigma^2}

And the distribution for this statistic is T \sim \chi^2_{n-1}

For this case we know that n =25 and \sigma^2 = 6 so then our statistic would be given by:

\chi^2 = \frac{(n-1)S^2}{\sigma^2}=\frac{24 S^2}{6}= 4S^2

With 25-1 =24 degrees of freedom.

Solution to the problem

Part a

For this case we want this probability:

P(S^2 > 9.1)

And we can multiply the inequality by 4 on both sides and we got:

P(4S^2 > 4*9.1) = P(\chi^2_{24} >36.4) = 0.0502

And we can use the following excel code to find it: "=1-CHISQ.DIST(36.4,24,TRUE)"

Part b

For this case we want this probability:

P(3.462 < S^2

If we multiply the inequality by 4 on all the terms we got:

P(3.462*4 < 4S^2 < 4*10.745)= P(13.848< \chi^2And we can find this probability like this:P(13.848And we use the following code to find the answer in excel: "=CHISQ.DIST(42.98,24,TRUE)-CHISQ.DIST(13.848,24,TRUE)"

8 0
2 years ago
The formula for calculating the volume of a cone is solve this formula for h
elixir [45]

Answer:

V =  \frac{1}{3} \pi {r}^{2} h \\

multiply either sides by 3:

3 \times V = ( \frac{1}{3} \pi {r}^{2} h) \times 3 \\  \\ 3V = \pi {r}^{2} h

divide either sides by πr² :

{ \boxed{ \boxed{h =  \frac{3V}{\pi {r}^{2} } }}} \\

7 0
2 years ago
Read 2 more answers
A worker at a snack stand opened a new box of cups. The first day he used 30 cups , the second day the worker used 15 percent of
Sholpan [36]

Answer:

Step-by-step explanation:

the first day he used 30 cups

the second day he used 15% of the remaining cups...a total of 90 cups were used on second day.

so 15%of the remaining cups = 90.....so if u let x be the total cups, then the remaining cups would be x - 30

15% of (x - 30) = 90.....turn ur percent to a decimal..." of " means multiply

0.15(x - 30) = 90

0.15x - 4.5 = 90

0.15x = 90 + 4.5

0.15x = 94.5

x = 94.5 / 0.15

x = 630 total cups <==

lets check..

start with 630 cups....used 30 the first day....leaving u with 600 cups....15% of the remaining cups = 90.....so 15% of 600 = 90....lets check it

15%of 600 = 0.15(600) = 90...yep, thats correct....there were 630 cups in the new un-opened box

5 0
3 years ago
Someone pls help me I will make you Brainly
AURORKA [14]

Answer:

it should be step 2

Step-by-step explanation:

8 0
2 years ago
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