Answer:
C
Step-by-step explanation:
You just need to convert some of the mixed numbers so that they have a denominator (of the fraction part) as 8:
10 4/8 = 10 1/2
10 6/8 = 10 3/4
11 2/8 = 11 1/4
#2. (-10, 0) (-10, -8) (0, -8)
#3. (-10, 0) (-10, 8) (-7, 8)
#4. (-10, 0) (-7, 0) (-7, 8)
#8. (0, 8) (0, 0) (8, 0) (10, 4)
#9. (-7, 0) (-7, 8) (0, 8) (0, 0)
#10. (-10, 0) (0, 0) (0, -8)
Not sure about the others. Hope this helps, though.
Answer:
4.8 (you can check but that's what I got)
Step-by-step explanation:
First find the missing angle by subtracting the sum of the two given from 180°
43°
Then use the Law of Sines to find the missing side
x/sinC = a/sinA
x/sin(90°)/3.5/sin(47°)
x=sin(90°)×(3.5/sin(47°))
x=4.7856...
x ≈ 4.8
Answer:
a= 7b
Step-by-step explanation:
a=7
b=1
a->7=7b(1)
a=7(1)
a=7
7=7
Answer:
Step-by-step explanation:
Mean = np
Where
n = number of students
p = probability of success
n = 200
p = 118/200 = 0.59
mean = 200 × 0.59 = 118
Standard deviation, s = √npq
q = 1 - p = 1 - 0.59
q = 0.41
s = √(200 × 0.59 × 0.41)
s = √48.38 = 6.956
For a confidence level of 99%, the corresponding z value is 2.58. This is determined from the normal distribution table.
We will apply the formula
Confidence interval
= mean ± z ×standard deviation/√n
It becomes
118 ± 2.58 × 6.956/√200
= 118 ± 2.58 × 0.492
= 118 ± 1.2694
The lower end of the confidence interval is 118 - 1.2694 = 116.7306
The upper end of the confidence interval is 118 + 1.2694 = 119.2694
