<span>the sum of three consecutive odd integers is 69. Find the integers.
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1st: 2x-1
2nd: 2x+1
3rd: 2x+3
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Equation:</span>2x-1 + 2x+1 + 2x+3 = 69<span>
</span><span>6x + 3 = 69
2x + 1 = 23
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So 2x-1 = 21
And 2x+3 = 25
</span><span>let:
x be the first odd integer
x + 2 be the 2nd odd integer
x + 4 be the 3rd odd integer
solution:
1st odd integer + 2nd odd integer + 3rd odd integer = 69
x + (x+2) + (x+4)= 69
</span>
<span>3x + 6 = 69
3x = 69 - 6
3x = 63 (dividing both sides by three)
x = 21
_______________________________________
x=21
x+2=23
x+4=25
therefore, the 1st integer is 21, the 2nd is 23 and the 3rd is 25..</span>
Answer:
<u>x = 90</u>
Step-by-step explanation:
We know based on the trigonometric identity that :
Here, it's given : tan (x - 45)° = 1
<u>Equating</u>
- tan 45 = tan (x - 45) [both are equal to 1]
- 45 = x - 45
- <u>x = 90</u>
Answer:
B) Lands on red 6 times
C) Lands on yellow 4 times
Step-by-step explanation:
The rest are way too much/too little for their predicted probability.
Answer:
c
Step-by-step explanation:
13/52*13/52*13/521=2197/140608 (1/64)
Answer:
0.9769
Step-by-step explanation:
Given the data :
X : 7.5, 9.9, 4.8, 9, 8.1, 1.7, 3.1
Y : 35, 6, 45, 18, 20, 89, 84
The Correlation Coefficient obtained by using a graphing calculator to model the data above is : 0.9769, this means a strong positive correlation exists between the two variables.
