Answer:
B. 0.0028
Step-by-step explanation:
This is a binomial distribution. We could use a calculator to find the probability, or, since the sample size is large enough and both np and nq are larger than 10, we can approximate this as a normal distribution.
To do so, we first find the mean and standard deviation.
μ = np = (0.02) (1500) = 30
σ = √(npq) = √(0.02 × 0.98 × 1500) = 5.42
Now we find the z-score:
z = (x − μ) / σ
z = (45 − 30) / 5.42
z = 2.77
Finally, we use a z-score table to find the probability.
P(z > 2.77) = 1 − P(z < 2.77)
P(z > 2.77) = 1 − 0.9972
P(z > 2.77) = 0.0028
You’re looking for the *circumference* of the crater. The definition of π is the ratio of the circumference of the circle to its diameter, or mathematically:
π = c/d
Which means that c = dπ. Our diameter is 3900 ft, which mean that our circumference is 3900π ft, or, using 3.14 as π, 3900(3.14) = 12,246 ft.
<h3>1) <u>What is the solution for the system of equations</u></h3>
-2x+y=2...(i)
y=4x-1...(ii)
substitute y in (i)
-2x+(4x-1)=2
-2x+4x-1=2
-2x+4x=2+1
2x=3
2x/2=3/2
x=3/2
replacing x in (ii)
y=4(3/2)-1
y=6-1
y=5
solution=(3/2,5)
<h3 /><h3>2) <u>Solve the system of equations.</u></h3>
x-y+z=6 ...(i)
4y+1=z ...(ii)
3y=2z...(iii)
from(ii),
z=4y+1
substitute z in (iii)
3y=2(4y+1)
3y=8y+2
3y-8y=2
-5y=2
-5y/5=2/5
y=-2/5
substitute y in (ii)
z=4(-2/5)+1
z=-3/5
substitute z and y in (i)
x-y+z=6
x=6+y-z
x=6+(-2/5)-(-3/5)
x=31/5
solution=(31/5,-2/5,-3/5)
<h3>
3) <u>What is the solution for the system of equations</u></h3>
-4x+y=-2 ...(i)
y+5=-6x...(ii)
from (i),
y=-2+4x
substitute y in (ii)
(-2+4x)+5=-6x
-2+4x+5=-6x
-2+5=-6x-4x
3=-10x
3/-10=-10x/-10
x=-3/10
substitute x in;;y=-2+4x
y=-2+4(-3/10)
y=-2-6/5
y=-16/5
solution=(-3/10,-16/5)
Answer: 60
Step-by-step explanation:
X can represent any number as long the product of 5 times x is less than 75. So for example, you can say, x5<75
X = 12
12 x 5 = 60
this is my first answer lol hope this helps in a way!
Answer:
Step-by-step explanation:
<em>Inscribed angle is half of the intercepted arc.</em>
- m∠Q = 1/2(mPS + mRS) = 1/2(41° + 137°) = 89°
<em>Opposite angles are supplementary.</em>
<em>Supplementary angles sum to 180°.</em>
- m∠R = 180° - m∠P = 180° - 57° = 123°
- m∠S = 180° - m∠Q = 180° - 89° = 91°