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>
I believe to answer this question you would simply divide by 5 for the dimensions to get the size of the scale drawing, and given it is a drawing I can only assume it would be measured in inches, so the answer in my mind would be 24 by 15 inches. I hope this helped, have a nice day! :)
Answer:
so to solve an inequality you just treat the inequaltity sign like an equals sign except if you multiply by negative 1 you flip the direction of the sign.
p-7/12>3/10
add 7/12 to both sides
p>7/12+3/10
p>35/60+18/60
p>53/60
so if you had to graph this on a number line you would have an open circle on 53/60 and an arrow coming off pointing to the right
Step-by-step explanation:
1 kg = 2.20 pound
21kg = 21 x 2.20 = 46.2 pounds
Since the tv is heavier than the stand can support. The stand will not support the tv.
First you have to write the equation...(x+7)5=30
then solve; so, x= -1
