-69=7v-6. Add 6 to both sides
-75=7v. Divide 7 to both sides
-75/7=v
Answer V= -75/7
Answer:
Standard error = 0.34
t-statistic = 11.18
Step-by-step explanation:
Given Data:
Mean difference d = 3.8
Standard deviation S.D = 1.36
Number of people = 16
The appropriate test are:
1. Standard error
2. T- statistic
1. Calculating the standard error using the formula;
Standard error = S.D/√n
= 1.36/√16
= 1.36/4
= 0.34
2. Calculating the t-statistic using the formula;
t-statistic = d/(S.D/√n)
= 3.8/(1.36/√16)
= 3.8/(1.36/4)
= 3.8/0.34
= 11.18
<span>Perpendicular lines' slopes are reciprocals of one another. So we know the perpendicular line will have a slope of 1/2. Then we can use our points to find the rest.
8=1/2(1)+b
8=0.5+b
7.5=b
y=2x+b</span>
Answer:
30
Step-by-step explanation:
1. x + 40 = 3x - 20
2. 40 = 2x - 20
3. 60 = 2x
4. 30 = x
Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
