Answer:
B. Correct decision
Step-by-step explanation:
We know that the average math SAT score of students at the school has changed from the 1991 mean of 465. That is μ≠465.
This hypothesis was tested and the null hypothesis, that states that the average math SAT score of students at the school has not changed from the 1991 mean, was rejected.
Then, the conclusion of rejecting the null hypothesis is right, as μ=465 is false.
First, you have to convert 33% to decimals by dividing it to 100. And that would be 0.33.
Then you want to know the 100 percent of 198 because it's just a 33% part of a whole.
You will have to divide 198 by 33% or 0.33 to get the whole. So the answer would be 600.
The answer is false because every integer is rational. An integer for example,5, can be expressed as 5/1 (which is a rational number)
We can start this problem by finding out what the lowest consecutive number's value is (x). Since consecutive numbers are numbers that are 1 apart from each other, the sum of 9 consecutive numbers would look like
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8)
Since we know that they equal 153,
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8) = 153
Now we combine like terms
9x + 36 = 153
Simplify
9x = 117
x = 13
Now, we need to find what the 5th consecutive number is equal to. The fifth consecutive number is (x+4), so 13 + 4 is 17, meaning that the 5th of 9 consecutive numbers that add up to 153 is 17.
Answer:
C=14
Step-by-step explanation:
To find the minimum value, graph each of the inequalities. After graphing each inequality, test a point and shade the region that satisfies the inequality. Once all inequalities have been shaded, find the region where they all overlap. The region will be bounded by intersection points. Test each of these points into C=x+3y. The least value for C is the minimum.
(14,0) (0,17.5) (3.08,3.64)
C=14+3(0) C=0+3(17.5) C=3.08 + 3(3.64)
C=14 C=52.5 C=14