Answer:
New length is 3 3/20 ft.
Step-by-step explanation:
The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.
We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8
Now we're going to simplify ---> 5/6 ⋅ x = 2 5/8
5/6 ⋅ x = 21/8
(multiply both sides by 6)
5x = 63/4
(divide both sides by 5)
x = 63/20
x= 3.15
So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.
Answer: 50
Step-by-step explanation:
From the question, we are informed that 1/3 of gym members say they spent 5 hours per week at the gym.
Assuming there are 150 people working out at the gym, the number of people that'll most likely spend 5 hours at the gym this week will be calculated by multiplying 1/3 by 150. This will be:
= 1/3 × 150
= 50 people
Answer:
The width (in our case it is the height) of the rectangle equals 17 miles
Step-by-step explanation:
In order to solve this, we need to know the following...
Area of a rectangle = Length x Width
(in our case based on what you said length is the base and width is the height)
Now we just change the formula to our needs and get that...
Width = Area of the rectangle / Length
And so we get...
Width = Area of the rectangle / Length
Width = 226.1 / 13.3
Width = 17 miles
Answer:
Probability that one or more people in Arbalest got a cold is 0.9987.
Step-by-step explanation:
We are given that according to a report, 11 people got colds for every 2000 people.
There are 1200 people in the town of Arbalest.
The above situation can be represented through binomial distribution;

where, n = number of trials (samples) taken = 1200 people
r = number of success = one or more people got a cold
p = probability of success which in our question is probability
that people got colds, i.e; p =
= 0.55%
Let X = <u><em>Number of people in Arbalest who got a cold</em></u>
So, X ~ Binom(n = 1200 , p = 0.0055)
Now, Probability that one or more people in Arbalest got a cold is given by = P(X
1)
P(X
1) = 1 - P(X = 0)
=
=
= 0.9987 or 99.87%
Hence, the required probability is 99.87%.
Answer: D.) 23%
Step-by-step explanation:
There is a 7/30 chance of selecting a green marble.
7/30 as a percent is 23.33333% and D is the closest answer.