Answer:
Step-by-step explanation:
The center of the circle whose diameter has endpoints (18, -13) and (4, -3) will be the midpoint of the coordinates.
The ormua for calculating mid point is expressed as;
M(X,Y) ={(x21+x2/2, y1+y2/2}
X= x1+x2/2
Y = y1+y2/2
From the coordinates
x1 = 18 x2 = 4
X= 18+4/2
X = 22/2
X = 11
y1= -13, y2= -3
Y = -3-13/2
Y = -16/2
Y = -8
Hence the required centre will be at (11,-8)
The x-coordinate of the point (50, 55) is 50
<h3>What is graph?</h3>
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The distance of point (50, 55) perpendicular to y-axis
Thus, perpendicular distance = 50 units
The x-coordinate of the point (50, 55) is 50
Learn more about graph
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2(c+7)=2c+14
Use distributive property
2*c +2*7
2c+14=2c+14
Hope it helps!
Answer:
The team has 92 wins and 38 losses.
Step-by-step explanation:
In a season 130 games are played by a baseball team.
Let us assume that the team wins x games and losses y games.
Therefore, we can write, x + y=130....... (1)
It is given that if the team won sixteen more games twice as many games as it lost.
So, we can conclude that x =2y+16 ......(2)
Hence, solving equations (1) and (2) we get, (2y+16) + y =130
⇒ 3y = 114
⇒ y =38
And from equation (2), x = 2×38 + 16 = 92
Therefore, the team has 92 wins and 38 losses. (Answer)
Answer:
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
Step-by-step explanation:
Problems of normally distributed samples can be 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:
Top 5%:
X when Z has a pvalue of 0.95. So X when Z = 1.645
Bottom 5%:
X when Z has a pvalue of 0.05. So X when Z = -1.645
Top 5% is 5.84 milliters and the bottom 5% is 5.60 millimeters.
