Answer:
a) 0.69
The probability that a randomly selected 10-year old child will be more than 51.75 inches tall
P(X>51.75 ) = 0.6915
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
<em>Given mean of the Population = 54.6 inches</em>
<em>Given standard deviation of the Population = 5.7 inches</em>
<em>Let 'X' be the random variable of normal distribution</em>
Let 'X' = 51.75 inches
<u><em>Step(ii):</em></u>-
<em>The probability that a randomly selected 10-year old child will be more than 51.75 inches tall</em>
<em>P(X>51.75 ) = P(Z>-0.5)</em>
= 1 - P( Z < -0.5)
= 1 - (0.5 - A(-0.5))
= 1 -0.5 + A(-0.5)
= 0.5 + A(0.5) (∵A(-0.5)= A(0.5)
= 0.5 +0.1915
= 0.6915
<u><em>Conclusion</em></u>:-
<em>The probability that a randomly selected 10-year old child will be more than 51.75 inches tall</em>
<em>P(X>51.75 ) = 0.6915</em>
No because the last one is not correct and if you want to text me back if you won't me to do it for you for the first three you can
The completion of the grouped frequency distribution for the test scores of the fifteen students that took the biology test last week is as follows:
Test scores Frequency
79 to 83 5
84 to 88 2
89 to 93 6
94 to 98 2
<h3>What is a frequency distribution?</h3>
A frequency distribution is a pictorial or graphical representation that shows the number of observations of each categorical value (a group of values) that occurs.
By showing the frequency counts for each category, it becomes easier to determine and interpret the presented information based on their relative frequencies.
Frequency charts, tables, or graphs are used to display frequency distributions of data.
Learn more about frequency distribution at brainly.com/question/17114842
#SPJ1
The side lengths on the new dilated rectangle will be 30cm and 16cm
<h3>How to calculate dilation</h3>
Given the following parameters
- Length = 8cm
- Breadth = 15cm
If the length and breadth are dilated by a factor of 2, hence the new dimansion will be:
New length = 2(15) =30cm
New width =2(8) = 16cm
Hence the side lengths on the new dilated rectangle will be 30cm and 16cm
Leaen more on dilation here: brainly.com/question/3457976
The pink one
because it actually can be divided by the top numbers by the bottom and you still get the same answer of the first two
