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>
Answer:
(-8,8)
Step-by-step explanation:
Out of the choices given in this item, the statement that would best describe the given polynomial is letter "A. It is in standard form because the exponents are in order from highest to lowest." We can see from the given that the exponents are arranged in the following order: 7, 2, 1 and 0.
Answer:
36.73 (Approx) ounces use on each sandwich.
Step-by-step explanation:
As given
Noah is making grilled cheese sandwiches for friends.
He has 2424 ounces of cheese.
He plans to split the cheese evenly between 66 sandwiches.
As given c is represented the noah can use on each sandwich.
Than the equation becomes
66 × x = 2424

x = 36.73 (Approx) ounces
Therefore 36.73 (Approx) ounces use on each sandwich.
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
If you want to learn more, you can read:
brainly.com/question/11897796