Answer:
4. is x = 9
but I don't know about 5. sorry.
Step-by-step explanation:
5x + 3 = 48
-3. -3
5x = 45
5. 5
x = 9
5(9) + 3 = 48
48 = 48
Answer:
The surface area of the balloon is
Step-by-step explanation:
Given;
S(r) = 4πr²
where;
S is the surface area of the balloon
r is the radius of the surface
The radius of the balloon at time "t" is given as;
The surface area of the balloon as a function of time "t" is calculated as;
Answer:
Answer is 24288.
Step-by-step explanation:
Given that there are 18 senior and 22 junior partners.
To find:
Number of ways of selecting at least one junior partner to form a committee of 3 partners.
Solution:
At least junior 1 member means 3 case:
1. Exactly 1 junior member
2. Exactly 2 junior member
3. Exactly 3 junior member
Let us find number of ways for each case and then add them.
Case 1:
Exactly 1 junior member:
Number of ways to select 1 junior member out of 22: 22
Number of ways to select 2 senior members out of 18: 18 17
Total number of ways to select exactly 1 junior member in 3 member committee: 22 18 17 = 6732
Case 2:
Exactly 2 junior member:
Number of ways to select 2 junior members out of 22: 22 21
Number of ways to select 1 senior member out of 18: 18
Total number of ways to select exactly 2 junior members in 3 member committee: 22 21 18 = 8316
Case 3:
Exactly 3 junior member:
Number of ways to select 3 junior members out of 22: 22 21 20 = 9240
So, Total number of ways = 24288
The problem can be solved by finding the total number of ways to form a committee of three from all partners and the ways to form a committee solely from senior partners. Subtracting the number of all-senior committees from the total committees yields the number of committees that include at least one junior partner.
This problem is a combination problem dealing with probability and involves the use of the formula for combinations: C(n, k) = n! / [k!(n-k)!], where n is the total number of options, k is the number of options chosen, and '!' denotes a factorial.
The total number of ways to select 3 partners from the 40 (18 senior + 22 junior) is C(40, 3).
The only scenario where a junior partner is not present in the committee is when all three are senior partners. The number of ways to select 3 senior partners from the 18 available is C(18, 3).
So, to find the number of ways to form a committee with at least one junior partner, subtract the number of all-senior committees from the total number of committees. Therefore, the solution is C(40, 3) - C(18, 3).
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Answer:
1/3
Step-by-step explanation:
We can find the slope of a line by using
m = (y2-y1)/(x2-x1)
= (3-4)/(5-8)
= -1/-3
=1/3
Answer:
-2p +13
Step-by-step explanation:
(7p + 6) - (9p - 7)
Distribute the minus sign
(7p + 6) - 9p + 7
Combine like terms
7p -9p +6 +7
-2p +13
Answer:
-2p + 13
Step-by-step explanation:
Distribute the -1 to (9p - 7):
7p + 6 - 9p + 7
Add like terms (7p and -9p, 6 and 7):
-2p + 13
Answer:
The selections are dependent.
Yes, they can be treated as independent (less than 5% of the population).
Step-by-step explanation:
Since the selections are made without replacement, each selection affects the outcome of the next selection and, therefore, the selections are dependent.
Although they are dependent, the selections can be treated as independent if the sample size is no more than 5% of the total population. In this case, the sample size is 1235 adults out of a population of 15,958,866 adults. The percentage represented by the sample is:
Thus the selections can be treated as independent for the purposes of calculations.
There are 95 cards did Steve initially purchase to begin his collection.
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Steve began a baseball card collection by purchasing some cards.
And, He increased the number of cards in the collection by a constant amount each week after that.
Now, In 3 weeks he collect 285 cards.
Hence, Number of cards to collect in initially is,
⇒ 285/3
⇒ 95
Thus, There are 95 cards did Steve initially purchase to begin his collection.
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Answer:95
Step-by-step explanation:
95x3=285