Answer:
Length (L) = 72 feet
Step-by-step explanation:
From the question given above, the following data were obtained:
Period (T) = 9.42 s
Pi (π) = 3.14
Length (L) =?
The length of the pendulum can be obtained as follow:
T = 2π √(L/32)
9.42 = (2 × 3.14) √(L/32)
9.42 = 6.28 √(L/32)
Divide both side by 6.28
√(L/32) = 9.42 / 6.28
Take the square of both side
L/32 = (9.42 / 6.28)²
Cross multiply
L = 32 × (9.42 / 6.28)²
L = 72 feet
Thus, the Lenght is 72 feet
Answer:
The expected number of cheese pizza among the 189 pizzas sold is 42.
Step-by-step explanation:
The distribution of different choices of pizza at the local pizza shop is:
Pizza Frequency
Pepperoni 11
Supreme 7
Cheese 6
Hawaiian 3
_______________
TOTAL 27
Compute the probability of selecting a cheese pizza as follows:
Let <em>X</em> = number of cheese pizza sold.
A total of <em>n</em> = 189 pizzas were sold. The probability of selling a cheese pizza is, <em>p</em> = 0.222.
The event of a randomly selected pizza can either cheese or not, is independent of the other pizzas.
The random variable <em>X</em> follows a Binomial distribution with parameters <em>n </em>= 189 and <em>p</em> = 0.222.
The expected value of <em>X</em> is:
Compute the expected number of cheese pizza among the 189 pizzas sold as follows:
Thus, the expected number of cheese pizza among the 189 pizzas sold is 42.
Answer:
Step-by-step explanation:
The area of a square can be found using the following formula:
where is the side length.
We know the side length is 9 feet.
Substitute the value into the formula.
Evaluate the exponent.
- (9 ft)²= 9 ft* 9ft = 81 ft²
The area of the square is 81 feet squared.
Answer:
3√2
Step-by-step explanation:
In a 45-45-90 triangle, the two legs are the same length while the hypotenuse is √2 times larger.
3*√2 = 3√2