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Leokris [45]
2 years ago
15

Christine performed the following experiment 20 times using a book that contains 462 pages.

Mathematics
1 answer:
wel2 years ago
7 0

Using the probability concept, it is found that there is a 0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In an experimental probability, these number of outcomes are taken from previous trials.

In this problem:

  • The experiment was made 20 times.
  • Of those, in 6 experiments(81, 105, 171, 159, 297, 387) she choose a page that was divisible by 3.

Then:

p = \frac{6}{20} = 0.3

0.3 = 30% experimental probability that Christine will randomly choose a page that is divisible by 3.

You can learn more about the probability concept at brainly.com/question/15536019

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A random sample of 28 statistics tutorials was selected from the past 5 years and the percentage of students absent from each on
SVEN [57.7K]

Answer:

Step-by-step explanation:

Hello!

X: number of absences per tutorial per student over the past 5 years(percentage)

X≈N(μ;σ²)

You have to construct a 90% to estimate the population mean of the percentage of absences per tutorial of the students over the past 5 years.

The formula for the CI is:

X[bar] ± Z_{1-\alpha /2} * \frac{S}{\sqrt{n} }

⇒ The population standard deviation is unknown and since the distribution is approximate, I'll use the estimation of the standard deviation in place of the population parameter.

Number of Absences 13.9 16.4 12.3 13.2 8.4 4.4 10.3 8.8 4.8 10.9 15.9 9.7 4.5 11.5 5.7 10.8 9.7 8.2 10.3 12.2 10.6 16.2 15.2 1.7 11.7 11.9 10.0 12.4

X[bar]= 10.41

S= 3.71

Z_{1-\alpha /2}= Z_{0.95}= 1.645

[10.41±1.645*(\frac{3.71}{\sqrt{28} } )]

[9.26; 11.56]

Using a confidence level of 90% you'd expect that the interval [9.26; 11.56]% contains the value of the population mean of the percentage of absences per tutorial of the students over the past 5 years.

I hope this helps!

7 0
4 years ago
Which equation is shown in the graph?
Gekata [30.6K]
Hmmmm judging by the values in between integers, like 2.5, 1.5, -2.5, -3.5 and so on, those values always produce a smaller number hmm that sounds whack... lemme put it differently.

a floor() function, namely ⌊x⌋ like that, will floor the decimal values, so ⌊2.5⌋ floors to 2, because 2.5 is between 2 and 3, and the smallest is 2, the "floor", the 3 will be the "ceiling".

so for a floor function, ⌊1.5⌋ is 1, 1.5 is between 1 and 2, 1 is the smallest, ⌊-3.5⌋ is -4, recall that on the negative side, the closer to 0, the larger, so -1 is much larger than -1000.

and say ⌊-1.35⌋ is -2, -1.35 is between -2 an -1 and -2 is the smallest, the "floor".

that said

x = 2.5      ⌊ 2.5 + 3⌋ is ⌊5.5⌋ which is 5

x = 1.5      ⌊ 1.5 + 3 ⌋ is ⌊4.5⌋ which is 4

x = -2.749   ⌊ -2.749 + 3⌋ is ⌊0.251⌋ which is 0

anyway and so on, so you can pretty much see is the floor function of ⌊ x + 3⌋.
6 0
3 years ago
One painter can finish a certain job 5 hours before another painter who is doing the same job. When they work together they can
Whitepunk [10]

Answer:

A (painter 1) = 10 hours

B (painter 2) = 15 hours

Step-by-step explanation:

5 0
3 years ago
Find the mean of the data in the dot plot below.
Nataly [62]

Answer:

5km

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which are the roots of the quadratic function f(q) = q2 – 125? Check all that apply. q = 5 q = –5 q = 3 q = –3 q = 25 q = –25
slamgirl [31]

Answer:

The given options are not roots of q(x)

Step-by-step explanation:

f(q)= q^2-125

To find the roots of the given quadratic equation

we replace f(q) with 0  and solve for q

0= q^2-125

Add 125 on both sides

125= q^2

take square root on both sides

q=+-5\sqrt{5}

q=+5\sqrt{5}  and  q=-5\sqrt{5}

The given options are not roots of q(x)

7 0
3 years ago
Read 2 more answers
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