How many terms are in the arithmetic sequence 7, 0, –7, …,–175?
Answers
Answer:
27 terms
Step-by-step explanation:
a1 = 7
nth term is -175
common difference d= 0-7 = -7 or -7 - 0 = -7
nth term = first term + ( n-1) * common difference
-175 = 7 + ( n - 1 ) * (- 7)
-175 = 7 - 7n + 7
-175 = 14 - 7n
-175-14 = -7n
-189 = - 7n
n= -189 /-7
n=27
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what is the equation of y=x^3 with the transformation: vertical compression by a factor of 1/2, horizontal shift 7 units to the left, reflection across the x-axis?
:48
Answers
Answer:
84:48
Step-by-step explanation:
7:4 = x:48
7*48 = 4x
7*48/4 = x
x = 7*12 = 84
So, the equivalent ratio is 84:48
Answers
y=-9+x^2
add 9 to both sides
y+9=x^2
square root both sides
x=
y + 9 = -9 + 9 + x^2
y + 9 = x^2
√y+9 = √x^2
√y+9 = x
x = √y+9
√ is the square root symbol
49.1 minutes to 59.3 minutes
50.3 minutes to 58.1 minutes
54.2 minutes to 58.1 minutes
54.2 minutes to 59.3 minutes
Answers
sample population = 50
mean = 54.2 minutes
standard deviation = 14.0 minutes
z-score = 2.58
2.58 * (14/√50) = 2.58 * 14/7.07 = 2.58 * 1.98 = 5.1084 or 5.11
54.2 + 5.11 = 59.31 minutes
54.2 - 5.11 = 49.09 minutes
Answer is: 49.1 minutes to 59.3 minutes
The confidence interval of the given statistics when calculated with the given parameters is; (49.1 minutes to 59.3 minutes)
How to find the confidence interval?
Formula for Margin of error is;
M = z * σ/√n
We are given;
Sample size; n = 50
mean; x' = 54.2 minutes
standard deviation; σ = 14.0 minutes
z-score = 2.58
Thus;
M = 2.58 × (14/√50)
M = 5.11
Confidence interval is;
CI = x' ± M
CI = (54.2 + 5.1), (54.2 - 5.1)
CI = (49.1 minutes, 59.3 minutes)
Read more about confidence interval at;
#SPJ5
Answers
Answer:
its option 3;92667
Step-by-step explanation:
6 and 8 is 68 so 9 2667 its 92667
i know how to find the percent, but don't know how to find the rate of change. Please help!
Answers
Answers
13/13 = 1
52/13 = 4
1/4 is the most simple form