Answer:
(x+a)²-7=x²+10x+b
simplifying,we get
x²+2ax+a²-7=x²+10x+b
the coefficient of x on both sides should be equal
therefore
2a=10
a=10/2=5
also for b
a²-7=b
5²-7=25-7=b
b=18
a=5
Answer:
Least Likely: Arrow lands on a section labeled with an odd number.
_____: Arrow lands on a section labeled with the number 1.
Most Likely: Arrow lands on a section labeled with a number less than 4.
Step-by-step explanation:
<u>The spinner:</u>
There are 8 sections, 4 labeled with the number 1, 2 labeled with the number 3, 1 labeled with the number 3, and 1 labeled with the number 4.
<u>Probabilities of the spinner:</u>
- Probability of landing on 1: 4/8 - 50%
- Probability of landing on 2: 1/8 - 12.5%
- Probability of landing on 3: 2/8 - 25%
- Probability of landing on 4: 1/8 - 12.5%
<u>The options:</u>
A - Arrow lands on a section labeled with an odd number.
B - Arrow lands on a section labeled with the number 1.
C - Arrow lands on a section labeled with a number less than 4.
- The least likely possibility out of the options would be B because, while a 50% chance sounds like a lot, it is the least of the three options.
- The mid possibility out of the options would be A. The odd numbers labeled on the spinner make up 75% of the whole. (1s and 3s - 50% + 25%)
- The most likely possibility out of the options is C because it accounts for every section except for the single section labeled with the number 4. (100% - 12.5%, 87.5%)
The first one pretty sure :))))
Answer:
The equation which can be used is 
Step-by-step explanation:
Given:
In a museum there is a sculpture in the shape of a cylinder.
The cylinder has a diameter of 12 feet and a height of h feet.
V ,the volume of the cylinder.
Now, to find the equation for the volume of cylinder in cubic feet.
The diameter of cylinder = 12 feet.
Radius ( r ) = 
<em>The volume of cylinder = </em>
<em />
<em>The height of cylinder </em>= 
Now, putting the formula to find the volume:
<em>Thus, the equation is </em><em />
Therefore, the equation which can be used is
