Answer:
13.5cm
Step-by-step explanation:
V=Bn
Step 1: 3245 - 12h
Step 2: 324 = 24 sh
324 24
Step 3: 245 245
Step 4: h-13.5
inches
What is the first error that James made when calculating the height of the cylinder?
In step 1, he substituted into the volume formula incorrectly.
In step 2, he calculated 122 incorrectly. It should be 144 rather than 24.
In step 4, the should have canceled, making the correct answer 13.5 cm.
James calculated the height of the cylinder correctly
Answer:
6
Step-by-step explanation:
f(6) = -6 this is the value when the x value is 6
g(5) = -5 this is the value when the x value is 5
4 * f(6) -6*g(5)
4*-6 - 6* -5
-24 + 30
6
Total number of times cube was rolled = 100.
Total number of times a 6 was rolled = 27.
Probability of rolling a 6 =

Total number of times coin was tossed = 100.
Total number of times a head was tossed = 41.
Probability of tossing a head =

Therefore, probability of rolling a 6 and tossing a head =
Answer:
$31.25
Step-by-step explanation:
Let's set up an equation.
$220. 28 - total
$126.53 - cost for parts
3 - # of hours
? - price per hour
3h + $126.53 = $220.28
Subtract $126.53 from both sides.
3h = $93.75
Divide by 3.
h = $31.25
The mechanic charges $31.25 per hour for labor.
Hope that helps.
Answer:
35 ways
Step-by-step explanation:
Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.
Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.
So, the total number ways we can select 5 friend out of 9 to party come to the birthday include two friends is ²C₂ × ⁷C₃ = 1 × 35 = 35 ways