Answer:
$300
Step-by-step explanation:
- 150/12 to figure out how much to install one yard ($12.50)
- 24•12.50=300
Answer:
Properties of a normal distribution
The mean, mode and median are all equal.
The curve is symmetric at the center (i.e. around the mean, μ).
Exactly half of the values are to the left of center and exactly half the values are to the right.
The total area under the curve is 1.
Step-by-step explanation:
Answer:
![a_n=\frac{-1}{2}a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B-1%7D%7B2%7Da_%7Bn-1%7D)
![a_1=2](https://tex.z-dn.net/?f=a_1%3D2)
Step-by-step explanation:
The recursive rule is a term defined in terms of other terms in the sequence.
The is a geometric sequence because it has a common ratio.
The common ratio can be found by dividing a term by previous term.
For example, all of these are equal:
![\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B-1%7D%7B2%7D)
![\frac{\frac{1}{2}}{-1}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B1%7D%7B2%7D%7D%7B-1%7D)
![\frac{\frac{-1}{4}}{\frac{1}{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B-1%7D%7B4%7D%7D%7B%5Cfrac%7B1%7D%7B2%7D%7D)
They are all equal to
.
So we are saying:
![\frac{\text{term}}{\text{previous term}}}=\frac{-1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7Bterm%7D%7D%7B%5Ctext%7Bprevious%20term%7D%7D%7D%3D%5Cfrac%7B-1%7D%7B2%7D)
More formally:
.
Multiply both sides by
:
![a_n=\frac{-1}{2}a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B-1%7D%7B2%7Da_%7Bn-1%7D)
When doing recursive form, you need to state a term of the sequence (or more depending on the recursive form you have).
So the first term is 2.
So the full thing for the answer is:
![a_n=\frac{-1}{2}a_{n-1}](https://tex.z-dn.net/?f=a_n%3D%5Cfrac%7B-1%7D%7B2%7Da_%7Bn-1%7D)
![a_1=2](https://tex.z-dn.net/?f=a_1%3D2)
The two complementary angles are:
95° and 15°
Step-by-step explanation:
Let x be one angle
then the other angle will be 90-x
As the sum of complementary angles is 90
So,
then according to statement
![x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15](https://tex.z-dn.net/?f=x%20%3D%203%2890-x%29%2B30%5C%5Cx%20%3D%20270-3x%20%2B30%5C%5Cx%20%3D%20300-3x%5C%5Cx%2B3x%20%3D%20300%5C%5C4x%20%3D%20300%5C%5Cx%20%3D%20%5Cfrac%7B300%7D%5B4%7D%5C%5Cx%20%3D%2075%5C%5Cand%5C%5C90%20-x%20%3D%2090%20-%2075%20%3D%2015)
The two complementary angles are:
95° and 15°
Keywords: Angles, triangles
Learn more about angles at:
#LearnwithBrainly