Answer:
Step-by-step explanation:
a)
<u>Area of the frame with picture:</u>
- A = lw
- A₁ = (x + 4)(x + 7) = x² + 11x + 28
<u>Area of the picture:</u>
<u>Area of the wooden frame is the difference of the above values:</u>
- A₃ = A₁ - A₂
- A₃ = x² + 11x + 28 - x² - 3x
- = 8x + 28
b)
<u>When x = 5, the picture frame area is:</u>
- A₃ = 8*5 + 28 = 40 + 28 = 68 in²
Answer:
The answer I believe is -185 1/7
Step-by-step explanation:
I followed PEMDAS.
Answer:
B
Step-by-step explanation:
Given
V = 
Substitute the given values for B and h into the formula
V =
=
= 140 in³
We will be using the binomial probability formula to solve the problem
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ⁻ˣ
Where:
n = the number of trials = 100
x = the number of samples we are trying on = 3
p = the probability of success = 2% = 0.02
We can either calculate ⁿCₓ by using the scientific calculator using the

button or by doing it manually use

P(3) = ¹⁰⁰C₃ (0.02)³ (1 - 0.02)¹⁰⁰⁻³
P(3) = ¹⁰⁰C₃ (0.02)³ (0.98)⁹⁸
P(3) = 0.182 (rounded to three decimal places)
Correct answer: option 3
The time in seconds that it took the ball to travel would be = 0.25 seconds.
<h3>Calculation of speed time</h3>
Speed can be defined as the distance covered by an object per unit time.
The speed used to kick the soccer off the ground = 56 feet per second.
The height equation= −16t² + 56t
The time= ?
The formula for speed = distance/time
56= −16t² + 56t/t
56t = −16t² + 56t/t
−16t² = -56t + 56t
−16t² = 0
Make t the subject formula,
t = √1/16
t = 0.25 seconds.
Learn more about speed here:
brainly.com/question/4931057
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