Answer:
1
Step-by-step explanation:
m=2
3m²- 2m- 7
3(2)² -2(2) -7
3(4)- 4- 7
12- 4- 7= 1
Answer:
A=556
Step-by-step explanation:
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1. To calculate the mean, we first total the number of hours: The 20 students' total number of study hours
is 118.5 hours.
2. We divide by the number of samples to find the mean: <span>The sample mean is 5.93.</span>
3. Next, we find the SD: <span>Calculate the standard deviation.</span>
4. Then we divide SD by the number of samples to get the standard error: the standard error of the mean of the sample is 0.45.
5. Since for a 95% CI, the corresponding z-score is 1.96 ~ 2, we use the formula for CI: mean +/- z*SE, which is: The range in which 95% of the sample
mean occurs is 5.93 + 2 × 0.45 = 6.83 hours and 5.93 − 2 × 0.45 = 5.03
hours.
6. Finally: The range in which
95% of the sample mean occurs is (5.03, 6.83).
Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
Hello!
The standard equation of a circle is x² + y² = r², when the center is at the origin.
So therefore, we just need to substitute the radius into the equation to find the appropriate equation.
x² + y² = (3)²
x² + y² = 9
Therefore, the equation of the circle is C, x² + y² = 9.
