Answer:
About twenty-one percent of twelve month old boys are shorter than 28.8 inches.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
About twenty-one percent of twelve month old boys are shorter than what height?
This is the value of X when Z has a pvalue of 0.21. So it is X when Z = -0.805.
About twenty-one percent of twelve month old boys are shorter than 28.8 inches.
Answer: it’s the third one
Step-by-step explanation:
It is
Answer:
a) 10 = X + Y
b) X = 1, Y = 9
X = 2, Y = 8
X = 3, Y = 7
X = 4, Y = 6
X = 5, Y = 5
i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.
Step-by-step explanation:
The given parameters are;
The number of songs in the playlist on her phone = 10
The number of authors of the songs on her playlist = 2
The equation that represent the situation is given as follows;
X + Y = 10
Where X represent the number of Beyonce's song on her playlist and Y represent the number of Jennifer Lopez's song on her playlist
b) 5 possible solutions are;
X = 1, Y = 9
X + Y = 1 + 9 = 10
Which gives 1 Beyonce's and 9 Jennifer Lopez's songs
X = 2, Y = 8
X + Y = 2 + 8 = 10
Which gives 2 Beyonce's and 8 Jennifer Lopez's songs
X = 3, Y = 7
X + Y = 3 + 7 = 10
Which gives 3 Beyonce's and 7 Jennifer Lopez's songs
X = 4, Y = 6
X + Y = 4 + 6 = 10
Which gives 4 Beyonce's and 6 Jennifer Lopez's songs
X = 5, Y = 5
X + Y = 5 + 5 = 10
Which gives 5 Beyonce's and 5 Jennifer Lopez's songs
i) The inputted values of X and Y are the solutions of the equation because they sum up to the 10 songs on Nyla's playlist.
Step-by-step explanation:
(10, 9), (5 , 4)
Use the distance formula to determine the distance between the two points.
Distance
=√(x2−x1)² +(y2 - y1)²
Substitute the actual values of the points into the distance formula.
√(5−10)² +(4−9)²
Simplify.
5√2
Exact Form:
5√2
Decimal Form:
7.07106781
Hope it will help :)❤
Answer:
30x squared 2 minus 248x squared 2 minus 768x
