Answer:
B
Step-by-step explanation:
When testing hypothesis to make a conclusion, you must find sufficient evident to reject the null hypothesis in favor of the alternative hypothesis. The null hypothesis must fail in order to accept the alternative. Failing to reject is not enough information. Since this is the case then options C and D are false statements and cannot be true. Both state that if you reject the null then the alternative is false or can't be supported. The opposite is true. Option A is also false since you cannot accept the null. You can only fail to reject it. If this is true then the alternative certainly cannot be accepted. Option B must be correct and the statement (thought not listed here) must be true.
A. This statement is false. A true statement is, "If you decide to accept the null hypothesis, then you can support the alternative hypothesis."
B. This statement is true.
C. This statement is false. A true statement is, "If you decide to reject the null hypothesis, then you can't support the alternative hypothesis."
D. This statement is false. A true statement is, "If you decide to reject the null hypothesis, then you can assume the alternative hypothesis is false."
Answer:
27 < 5*n +7
n<4
Step-by-step explanation:
Twenty-seven is smaller than five times a number increased by seven
Increase means add
27 < 5*n +7
Subtract 7 from each side
27-7 <5n+7-7
20 < 5n
Divide by 5
20/5 < 5n/5
4 <n
To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.
Sorry this took forever. The website is hard to use because I'm used to using the app:)
Best of wishes!
1:Correct
2: 8 / 2 = 4
3: 6 / 2 = 3
4: 6*1*6 = 36
5: 0/6 + 6 = 6
6: 5+3+1+9 = 18
8x - amount of boys
7x- amount of girls
8x + 7x = 195
15x= 195 ( divide by 15)
x= 13
8x = 8 x 13 = 104
7x = 7 x 13= 91
there are 104 boys, and 91 girls.
