B.
The line starts at the origin and goes down by two.
Answer:
We need to sketch the problem first.
Find the size of angle R.
One member travels a distance of 12km due north. Another team member heads 50degree east of north and travels a distance of 10km.
If se substute 50° of 180 we have
180-50=130°
The distance between the two team members is the missing side.
We know two sides and included angle, so we use the cosine rule.
A2+b2+c2-2bcCosA
= 102+122-(2x10x12xcos130°)
=100+144-(-147.08)
=100+144+147.08
=391.08
A==SQRT391.08
=19.775
19.7km
Step-by-step explanation:
When rates are expressed as a quantity of 1, such as 2 feet per second<span> or </span>5 miles per hour<span>, they are called unit rates. If you have a multiple-unit rate such as 120 students for every 3 buses, and want to find the single-unit rate, write a ratio equal to the multiple-unit rate with 1 as the second term.</span>
Answer:
a) 
b) 
Step-by-step explanation:
Previous concepts
The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:
And 0 for other case. Let X the random variable that represent "life lengths of automobile tires of a certain brand" and we know that the distribution is given by:
The cumulative distribution function is given by:
Part a
We want to find this probability:
and for this case we can use the cumulative distribution function to find it like this:
Part b
For this case w want to find this probability
We have an important property on the exponential distribution called "Memoryless" property and says this:
On this case if we use this property we have this:
We can use the definition of the density function and find this probability:
Answer:
15% markdown
Step-by-step explanation:
To find the percent markdown
Take the original price minus the new price
975-828.75
146.25
Divide by the original price
146.25/975
.15
Change to percent form
15% markdown
