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3 years ago

A bag contains 2 red marbles, 7 blue marbles and 5 green marbles. If two marbles are

Mathematics

1 answer:

Mandarinka [93]3 years ago

6 0

Answer:

The probability of drawing blue twice is 2/14

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Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make

kow [346]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 99% confidence interval is $2.4309 < \mu < 4.9328$

Step-by-step explanation:

From the question we are told that

The data is 3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4

The sample size is n = 11

Generally the sample mean is mathematically represented as

$\= x = \frac{\sum x_i}{n}$

=> $\= x = \frac{3+ 2+5+ \cdots +4 }{11}$

=> $\= x = 3.6818$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum [ x_i - \= x ] }{n} }$

=> $\sigma = \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2 }{11} }$

=> $\sigma = 1.3091$

Given that the confidence interval is 99% then the level of significance is mathematically represented as

$\alpha= (100 - 99) \%$

=> $\alpha= 0.01$

Given that the sample size is small we will making use of t distribution table

Generally from the t distribution table the critical value of at a degree of freedom of is

$t_{\frac{\alpha }{2} , 10 } =3.16927267$

Generally the margin of error is mathematically represented as

$E = 3.16927267 * \frac{1.3091 }{\sqrt{11} }$

$E = 1.251$

Generally 99% confidence interval is mathematically represented as

$3.6818 -1.251 < p < 3.6818 + 1.251$

=> $2.4309 < \mu < 4.9328$

8 0

3 years ago

1 Oscar buys his lunch in the school cafeteria. The cost of 15 school lunches is $33.75.

lisabon 2012 [21]

Answer:

Thee graft should be increeasing 2.25 eeach time

Step-by-step explanation:

8 0

4 years ago

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Multiply. (5x^2-6x+2)(4x^2-3x)

baherus [9]

20x^4-39x^3-16x

Make sure to multiply all the terms by each other in the two parentheses

3 0

3 years ago

Can someone help me on this question plz. Thank you

bagirrra123 [75]

a. No, simply because 20 isn't divisible by 3 without having a decimal, and there must be a whole number because there's no such thing as half of a species.

b. The answer would be the remainder of the fraction ²/<span>₅</span>

5 0

3 years ago

What is -40 divided by -4

sergiy2304 [10]

The Answer Is 10. Because We Know That A Negative Number Divided By A Negative Number Will Give You A Positive Number As Your Answer So -40 Divided By -4 Is 10.

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3 years ago

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