Answer:
C. The mean increases by 0.75.
Step-by-step explanation:
The mean of a data set is given by the sum of all its values, divided by the number of values.
Data set {10, 2, 8, 9, 5, 2, 6}
7 values
Sum: 10 + 2 + 8 + 9 + 5 + 2 + 6 = 42
Mean: 42/7 = 6
Adding number 12 to the data set
Now we have 8 values
The sum is 42 + 12 = 54
The mean is 54/8 = 6.75
This means that the mean increases by 0.75.
Answer:
61 degrees
Step-by-step explanation:
m∡QRT=m∡SRT
5x – 9=2x + 33
3x=42
x=14
∡SRT=2x+33
∡SRT=2(14)+33
∡SRT=28+33
∡SRT = 61
Let d = # of dimes
Let q = # of quarters
45 = d + q
.1d + .25q = 8.40
Then we can use the substitution method and make it so that d = 45 - q.
Then plug in the value for d into the second equation.
.1(45-q)+.25(q)=8.40
4.5-.1q+.25q=8.40
4.5+.15q = 8.40
.15q = 3.90
q = 26
d = 45 - 26 = 19
26 quarters
19 dimes
Answer:
m∠ABC = 130°
Step-by-step explanation:
BD is the angle bisector of angle ABC .
Therefore, ∠ABD ≅ ∠DBC
Measure of angle DBC = 65°
Therefore, m∠ABD = m∠DBC = 65°
m∠ABC = m∠ABD + m∠DBC
= 65° + 65°
= 130°