Answer:
541.1 square feet
Step-by-step explanation:
A = πr²
1) convert in. to ft because answer is in sq. ft
78 in => 6.5 ft
2) Find radius of entire area
6.5 ft + radius of inner circle
6.5 + 10 = 16.5
3) Calculate area of combined circles
A = π(16.5)²
A = 855.3 sq. ft
4) Find area of inner circle
A = π(10)²
A = 314.2 sq. ft
5) Subtract area of inner circle from combined area
855.3 sq ft - 314.2 sq. ft =<u> 541.1 sq. ft</u>
Let the final score of White Sox = x
the final score of Marlins = y
White Sox won by 2 runs. Thus
x = y +2
White Sox had twice as many runs as Marlins
x = 2y
From the equations,
2y = y + 2
=> 2y - y = 2
=> y = 2
x = 2y = 2×2 = 4
Hence, final score of
White Sox = 4
Marlins = 2
The variance of the binomial distribution of the number of households with landline service is 2.
<h3>What is the binomial probability distribution?</h3>
It is the probability of <u>exactly x successes on n repeated trials, with p probability</u> of a success on each trial.
The variance of the distribution is given by:
V(X) = np(1 - p)
In this problem, the parameters are given as follows:
n = 8, p = 0.504.
Hence the variance is given by:
V(X) = 8 x 0.504 x 0.496 = 2.
More can be learned about the binomial distribution at brainly.com/question/24863377
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Answer:
Step-by-step explanation:
Total surface of the cube = 6a²
= 6 * 42 * 42
= 10584 cm²
Hole that is drilled out, will make a cylinder shape in the middle of the cube
Volume of iron in the cube = Volume of cube - volume of cylinder
Volume of cube = a³
= 42 * 42 * 42
= 74088 cm³
Cylinder:
r = 14/2 = 7 cm
h = sideof the cube = 42 cm
Volume = πr²h
= 6468 cm³
Volume of iron in the cube = Volume of cube - volume of cylinder
= 74088 - 6468
= 67620 cm³
Answer: it's f(x)=|x+6|
Step-by-step explanation: