Answer:the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes
Step-by-step explanation:
Dylan,
If the distance to work is 1 mile and you can walk at 4 miles per hour, then you can walk 1 mile in ¼ hr = 15 minutes.
To set up the "equation" think about it this way: (1 mile/ t) = (4 mile/ 1 hr)
so 1/t = 4/1 hr
now multiply both sides by t to get 1 = t·(4/1 hr), next divide both sides by (4/1 hr)
t = 1/(4/ 1 hr) = 1 hr/4 = ¼ hr = 15 min.
Answer:
the answer is B
Step-by-step explanation:
it makes the most sense
Answer:
$467.05
Step-by-step explanation:
By getting a discount of 20%, it means he pays 100-20=80% of the initial price
80% is same as 0.8
Price after discount will be
0.8*$562=$449.6
Taxation is then subjected to the discounted price. With tax rate of 6% which is equivalent to 0.06 then the total prive incurres will be 106% of the discounted price, same as 1.06
Final price inclusive of tax
1.06*$449.6=$476.576
Since his credit gives 2% discount of everytging then he only pays 98% of the price inclusive of tax
Payable amount
0.98*476.576=467.04448
Rounded off as $467.05
Answer:
slope: -1/2
y-intercept: 2
Step-by-step explanation:
y=mx+b is the equation to a linear function
m=slope
b=y-intercept
In this case, -1/2 is the m, and 2 is the y-intercept.
Answer:
47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth
Step-by-step explanation:
For each individual, there are only two possible outcomes. Either they cover their mouth when sneezing, or they do not. The probability of an individual covering their mouth when sneezing is independent of other individuals. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
According to a study done by Otago University, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267.
This means that 
What is the probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth
10 individuals, so n = 10.

In which





47.52% probability that among 10 randomly observed individuals fewer than 3 do not cover their mouth