Equation of a line through two points is given by y - y1 = ((y2 - y1)/(x2 - x1))(x - x1)
y - 7 = ((10 - 7)/(2 - (-1)))(x - (-1))
y - 7 = (3/(2 + 1))(x + 1)
y - 7 = 3/3 (x + 1)
y - 7 = x + 1
-x + y = 1 + 7
-x + y = 8
Answer:
∠ B ≈ 41.81°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin B =
=
=
, thus
B =
(
) ≈ 41.81° ( to the nearest hundredth )
Answer:
Y=-40x+122
Step-by-step explanation:
hello
Due to the nature of the data, it is most convenient to model this problem as a linear function.
To solve this problem we must use the equation that defines a line, then start assigning the corresponding values
y1=82bananas per day
X1=1 dolar
y2=52bananas per day
x2=1.75dolar
line ecuation
y − y 1 = m(x − x 1 )
where

solving:
Y-82=-40(x-1)
Y=-40x+40+82
Y=-40x+122
let's try the result!
Price =1dolar
Y=-40(1)+122=82bananas per day
Price=1.75dolar
Y=-40(1.75)+122=52bananas per day
Answer:
Step-by-step explanation:
Since population std deviation is not known, we use t critical value for testing of hypothesis.
a) 90% conf level when n =28
df = 27, t critical = 1.706
b) 95% 28
df =27 and t critical = 2.052
c) 90% and 15
df =14 and t critical = 1.761
d) 95% and n =15
df =14: t critical = 2.145
Answer: 1/2
Step-by-step explanation:
The numbers that are less than 6 are 1, 2, 3, 4, and 5. Thus simply means that there are 5 numbers that are less than 6.
The probability that she chooses a number less than 6 will then be:
= 5/10
= 1/2