Answer:
A = (16π - 8) cm^2
Step-by-step explanation:
The shaded area is trhe area of the circle minus rthe area of the truiangle,.
A = πr^2 - bh/2
A = π(4 cm)^2 - (4 cm)(4 cm)/2
A = 16π cm^2 - 8 cm^2
A = (16π - 8) cm^2
Answer:
C) I & III
Step-by-step explanation:
Given:
Sample size, n = 18
Sample proportion = 25% = 0.25
Here, a random sample of 18 adults were chosen from the 1500 adults in town. This shows that the random condition was satisfied because the sample was drawn randomly from the general population of adults in the town.
For the normal condition to be satisfied, np should be greater than 10, ie np > 10.
In this case, np = 18 * 0.25 = 4.5
Since np is less than 10, the normal condition was not satisfied.
For the 10% condition to be satisfied, sample size should not be more than 10% of the general population.
Here, the sample size is 18 and the population is 1500. Therefore,
Since the sample size is 1.2% of the population which is less than 10%, the 10% condition was satisfied.
The correct option is C, because only I & III were satisfied.
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Hope this helped!
Answer:
$1.00
Step-by-step explanation:
m=-(5/4)
From left to right, (1,3) is first and then comes (5,-2). Always remember when finding slopes without equations, the rule is RISE over RUN, to the numerator and denominator, respectively.
The y value of the second coordinates becomes negative which is unlike the y value in the first coordinates, which means our slope is downward, meaning it has a negative sign in front.
In every slope, there’s a numerator, being the rise, and a denominator, being the run.
To find the rise, we must look at the y values. Starting at 3 going to -2 has a space of 5 units, making that our numerator.
To find the run, the first x value is 1 and the second is 5, making a space of 4, which is out denominator.
With these two numbers and the negative sign, we get -(5/4) as our slope.
