Answer:
a=6
b=10.39
Step-by-step explanation:
a=sin 30x12 or a=cos60x12
a=6
b=cos 30x12 or b=sin60x12
b=10.39
Answer:

Step-by-step explanation:
For it to be a parallelogram, opposite sides have to be of same length.
Using the expressions given, we can make 2 equations:
<u>Equation 1:</u>

<u>Equation 2:</u>

<em>Solving equation 2, we have x:</em>

<em>Plugging this value of x into equation 1, we can solve for y:</em>

So,

He will pay the 10% of $7200, and that is calculated like so:
(10%)(7200)
= (10/100)(7200)
= (1/10)(7200)
= 720
therefore he will pay $720
Answer:
-3/7
Step-by-step explanation:
slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7
Answer:
P-value = 0.0368
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 101.5
Sample mean,
= 106.4
Sample size, n = 30
Alpha, α = 0.05
Population standard deviation, σ = 15
First, we design the null and the alternate hypothesis
We use One-tailed(right) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now,
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, students in Pennsylvania have an IQ that is significantly greater than the state average.
P-value can be calculated with the standard normal table.
P-value = 0.0368
P-value is lower than the significance level.