The first-serve percentage of a
tennis player in a match is normally distributed with a standard deviation of
4.3%. If a sample of 15 random matches of
the player is taken, the mean
first-serve percentage is found to be 26.4%. The margin of error of the sample
mean is 83.71%.
Question 1:
We are going to add.
1/5 + 1/2
2/10 + 5/10
7/10
Note that we are going DOWN so the number will be negative.
Therefore, the answer is A.) -7/10
Question 2:
We are going to subtract.
4 1/2 - 1 2/3
9/2 - 5/3
27/6 - 10/6
17/6 or 2 5/6
Note that we are still BELOW sea level so the number will be negative.
Therefore, the answer is C.) -2 5/6
Question 3:
We are going to subtract.
2 2/3 - 1 1/5
8/3 - 6/5
40/15 - 18/15
22/15 or 1 7/15
Therefore, the answer is B.) 1 7/15
Best of Luck!
Answer:
Correct options are:
a) ( 0 , 445 )
d) ( 118 , 209 )
e) ( 172 , 101 )
Step-by-step explanation:
A nickel is worth 5 cents $0.05
A dime is worth 10 cents = $0.10
The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.
a) ( 0 , 445 )
b) ( 0.50 , 435 )
c) ( 233 , 21 )
d)( 118 , 209 )
e)( 172 , 101 )
Verifying the options
a) ( 0 , 445 )
0.10d+0.05n=22.25.
= 0.10(0) + 0.05(445) = 22.25
= 22.25 = 22.25
Options a) is correct
b) ( 0.50 , 435 )
0.10d+0.05n=22.25.
= 0.10(0.50) + 0.05(435) = 22.25
= 21.8 ≠ 22.25
Option b is incorrect
c) ( 233 , 21 )
0.10d+0.05n=22.25.
= 0.10(233) + 0.05(21) = 22.25
= 24.35 ≠22.25
Option c is incorrect
d) ( 118 , 209 )
0.10d+0.05n=22.25.
= 0.10(118) + 0.05(209) = 22.25
= 22.25 = 22.25
Option d) is correct
e) ( 172 , 101 )
0.10d+0.05n=22.25.
= 0.10(172) + 0.05(101) = 22.25
= 22.25 = 22.25
Option e) is correct
-3x-6=2x-1
5x=-5
x=-1
y=-3(-1)-6
y=3-6
y=-3
hope this helps!
