Answer:
m = 2 and b = -8.
Step-by-step explanation:
One of the most commonly used equations of straight lines is y = mx + b, where m is the slope and b is the y-intercept.
Comparing the given y = 2x - 8 to y = mx + b, we see that m = 2 and b = -8.
Answer:
She used GF = 2BG, but the correct statement is BG = 2GF.
Step-by-step explanation:
Answer:
x=70
Step-by-step explanation:
when added together, verticle angles equal 180 degrees.
2x-10+x+20=180
3x-10+20=180
3x-30=180
3x=210
x=70
Answer:
x = 50°
Step-by-step explanation:
By vertical angles, we have
50° + 2x = 150°
2x = 100°
x = 50°
Answer:
Mean = 30.68
Standard deviation = 6.095
Two standard deviations above the mean = 42.87
Step-by-step explanation:
Given the following data :
21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33; 34; 35; 36; 36; 36; 36; 38; 38; 38; 40
Mean = Σ(x) / n
n = 25
Σ (X) = 767
Mean (m) = 767 / 25
Mean (m) = 30.68
Standard deviation : sqrt[Σ(x - m) / n]
Using a calculator :
Standard deviation = 6.095 ( 2 decimal places)
2 standard deviations above the mean :
Mean + 2(standard deviation)
Mean + 2(6.095)
30.68 + 12.19
30.68 + 12.19
= 42.87
