Answers: The page numbers are 11 and 12
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Explanation:
Consecutive integers are ones that follow immediately after another. For example, the set {7,8,9,10} are consecutive.
Let,
- x = first page, some positive whole number
- x+1 = second page, follows immediately after page x
Adding those two said pages will lead to 23
first + second = 23
(x) + (x+1) = 23
2x+1 = 23
2x = 23-1
2x = 22
x = 22/2
x = 11 is the first page
x+1 = 11+1 = 12 is the second page
Check: 11+12 = 23 which confirms the answers.
Answer:
10.2% increase
Step-by-step explanation:
44.8-40 = 4.8
4.8/40 = 10.2
Toby saves 30.30 money by buying 30 T-shirts at better price.
Step-by-step explanation:
Cost of pack of 5 T-shirts = 13.00 money.
Cost of pack of 2 T-shirts = 7.22 money.
Toby wants to buy total T-shirts = 30 T-shirts.
<u>Case 1 </u>:
For 30 T-shirts, If Toby buys in packs of 5 T-shirts then the number of packs he should buy = 30/5 = 6 packs.
The cost for six packs of 5 T-shirts = 6*13.00 = 78.00 money.
<u>Case 2 </u>:
For 30 T-shirts, If Toby buys in packs of 2 T-shirts then the number of packs he should buy = 30/2 = 15 packs.
The cost for 15 packs of 2 T-shirts = 15*7.22 = 108.30 money.
The money saved = 108.30 -78.00 = 30.30 money.
Therefore, The better price to buy 30 T-shirts is 78.00 money.
Step-by-step explanation:
By binomial theorem,
T(r+1) = nCr * a^(r+1) * b^r
Term 4 = 7C3 * (2x)^4 * (-5y)^3 = 35 * (16x^4) * (-125y^3) = -70000x^4y^3.
Answer: A B
Group A 0.25 0.75
Group B 0.45 0.55
Step-by-step explanation:
Since we have given that
Number of people of A in Group A = 15
Number of people of B in Group A = 45
Number of people of A in Group B = 20
Number of people of B in Group B = 25
Total number of people in Group A = 15+45 = 60
Total number of people in Group B = 20+25 = 45
So, Relative frequencies will be given below:
Relative frequency of A in Group A is given by
Relative frequency of B in Group A is given by
Relative frequency of A in Group B is given by
Relative frequency of B in Group B is given by
Hence, A B
Group A 0.25 0.75
Group B 0.45 0.55
