Answer:
x = 120°
Step-by-step explanation:
the 165 degree obtuse angle forms a straight line with the upper left angle inside the triangle, therefore this angle measures 15 degrees
we know two of the three angle measures so we add all three together to find the unknown angle
x + 15 + 45 = 180
x + 60 = 180
x = 120°
Step-by-step explanation:
16 arrangement can be done
Answer:
???69
Step-by-step explanation:
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = A(4, 7) and (x₂, y₂ ) = B(2,3)
m =
=
= 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 3), then
3 = 4 + c ⇒ c = 3 - 4 = - 1
y = 2x - 1 ← equation of line
Answer:
Test statistic = 1.3471
P-value = 0.1993
Accept the null hypothesis.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 4
Sample mean,
= 4.8
Sample size, n = 15
Alpha, α = 0.05
Sample standard deviation, s = 2.3
First, we design the null and the alternate hypothesis
We use two-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have

Now, we calculate the p-value.
P-value = 0.1993
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept it.