Answer:
8.5 or 8½
Step-by-step explanation:
Arranged numbers in ascending order
2, 6, 8, 8, 9, 10, 12, 14
Median = middle number i. e 8 and 9
Therefore median = 8 + 9 divided by 2
= 17 divided 2
= 8.5
Answers = 8.5 or 8½
Answer:
(m³/3 + 5m/2 + 3)pi
Step-by-step explanation:
pi integral [(f(x))² - (g(x))²]
Limits 0 to 1
pi × integral [(2+mx)² - (1-mx)²]
pi × integral[4 + 4mx + m²x² - 1 + 2mx - m²x²]
pi × integral [m²x² + 5mx + 3]
pi × [m²x³/3 + 5mx²/2 + 3x]
Upper limit - lower limit
pi × [m²/3 + 5m/2 + 3]
Verification:
m = 0
[pi × 2² × 1] - [pi × 1² × 1] = 3pi
[m³/3 + 5m/2 + 3]pi
m = 0
3pi
Answer:
<em>For 10 visits, both gyms charge the same</em>
Step-by-step explanation:
<u>Equations</u>
Gym memberships' costs are:
G1 = 100 + 2x
G2 = 12x
Where x is the number of visits to the gym.
We need to find the number of visits for which the charges for both gyms are the same. Thus equating the costs:
12x = 100 + 2x
Subtracting 2x:
10x = 100
Dividing by 10:
x =10
For 10 visits, both gyms charge the same
Maurine owns three bagel shops. Each shop sells 500 bagels per day. Maureen asks her store managers to use a random sample to see how many whole wheat bagels are sold at each store each day. Shop A has total of 50 bagels in sample and 10 are whole wheat bagels. Store B has a total of 100 bagels in sample and 23 are whole wheat bagels. Shop C has 25 total bagels in sample and 7 are whole wheat bagels.
We find fraction of whole wheat bagels to the sample for each shop using given information
Shop A = 
Shop B = 
Shop C = 
The number of whole wheat bagels for each shop that sells 500 bagels per day
Shop A = 
Shop B = 
Shop C = 
Answer:
Have you tried the quadratic formula? you can look up the quadratic equation and plug in the, a=1 b=2 and c=10
Step-by-step explanation: