Answer:
~1.29 inches
Step-by-step explanation:
C = 2πr
C = 3r + 4.25
2πr = 3r + 4.25
2πr - 3r = 4.25
r(2π-3) = 4.25
r = 4.25/(2π-3) ≈ 1.29
Answer:
160/3
9-<u>1</u>
<u> </u><u> </u><u> </u><u>3</u>=21-1/3*8=160/3
1/8
a. The area of the rectangle: 16 units²
b. The area of the triangle on the left: 6 units²
c. Area of the triangle on the right: 10 units²
d. Area of the figure: 32 units²
<h3>What is the Area of a Rectangle and a Triangle?</h3>
- Area of a rectangle = (l)(w)
- Area of a triangle = 1/2bh
a. l = 4 units
w = 4 units
Area of the rectangle = (4)(4) = 16 units²
b. b = 3 units
h = 4 units
Area of the triangle on the left = 1/2(3)(4) = 6 units²
c. b = 5 units
h = 4 units
Area of the triangle on the right = 1/2(5)(4) = 10 units²
d. Area of the figure = 16 + 6 + 10 = 32 units²
Learn more about the area of a rectangle and a triangle on:
brainly.com/question/446826
#SPJ1
Answer:
0.02275
Step-by-step explanation:
We use the z score formula to solve for this
z-score is given as: z = (x-μ)/σ
where x is the raw score,
μ is the population mean
σ is the population standard deviation
In the above question:
mean of μ=500
a standard deviation of SD=100
raw score x = 700
Hence, z score = (700 - 500)/ 100
= 200/100
= 2
z score = 2
Using the z score table of normal distribution to find the Probability of z = 2
P( x = z)
= P(x = 700)
= P( z = 2)
= 0.97725
P(x>700) = 1 - P(x = 700)
= 1 - 0.97725
= 0.02275
Therefore, the probability of randomly selecting an individual from this population who has an SAT score greater than 700 is 0.02275
