Answer:
(x, y ) → (x + 5, y - 3 )
Step-by-step explanation:
5 units right means add 5 to the x- coordinate
3 units down means subtract 3 from the y- coordinate
the translation rule is
(x, y ) → (x + 5, y - 3 )
Answer:
Decision: Support the null hypothesis.
Sample mean: -12
Step-by-step explanation:
Hello!
When deciding with a Confidence interval you have to keep in mind that the following conditions are met:
- The hypothesis and the interval are made for the same parameter.
- The hypothesis should be two-tailed.
- The interval and the test have to have complementary confidence and signification levels. This means that if the interval is made with 1 - α= 0.95 the hypothesis test should be made with α= 0.05.
H₀: μ₁ - μ₂= 0
H₁: μ₁ - μ₂≠ 0
α: 0.05
If the interval contains the cero, it means that there is no difference between the means, so you support the null hypothesis.
If the interval doesn't contain the cero, there is a difference between the two means, so you reject the null hypothesis.
The intervals to estimate the population mean have the following structure:
Estimator ± Margin of error
This means that the sample mean (point estimate of the population mean) is in the middle of the calculated interval. To know it's the value you have to do a simple calculation:
sample mean: 
sample mean: 
sample mean: -12
I hope it helps!
Answer:the number of BlackBerry that Arlene had initially was 276
Step-by-step explanation:
Let x represent the number of BlackBerry that Arlene had initially.
She gave 216 to her teachers. This means that she is left with x - 216
Then she dropped 12. This means that she would be left with x - 216 - 12 = x - 228
Later, she ate 18. This means that she would be left with x - 228 - 18 = x - 246
Finally, she gave half of what she had to her friend. This means that the amount that she gave to her friend is (x - 246)/2 and the amount that she has left would be
(x - 246)/2
Now, she has 15. This means that
(x - 246)/2 = 15
x - 246 = 2 × 15 = 30
x = 30 + 246 = 276
Answer:
-4 = 5 - 9
Step-by-step explanation:
-4 = ? - 9
Add 9 to -4
5
The result of -4 = ? - 9 is 5
-4 = 5 - 9
-4 = -4