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:
D
Step-by-step explanation:
Sum = -12
Product = -48
Factors = -12 , 4
-12 + 4 = - 8 & -12 * 4 = -48
x² - 8x - 48 = x² - 12x + 4x - 4*12
= x(x - 12) + 4(x - 12)
= (x - 12) (x + 4)
X=-b/2a is the formula for finding the axis of symmetry
So x= -30/2(5)
X=-30/10
X=-3
Because the axis of symmetry is -3, we know where to place our line, and we also know that the parabola is open downwards, which means that the vertex will be maximum. To find the vertex, plug in your values with the axis of symmetry as a midway point. Plug that in for x and so you should have the following:
F(x)
Y(f(x) and y variables are interchangeable) =5(-3)^2-30(-3)+49
Solve for y(f(x))
5(-3)^2-30(-3)+49
(-3)^2=3^2
3^2*5+30*3+49
Multiply
3^2*5+90+49
Add numbers
3^2*5+139
9*5=45
45+139=184
Y=184
So, your vertex would be
(-3,184) and it would be maximum. From there you can plug in the rest of your table of values.
Answer:
A= 256 stickers B= 8 stickers per student C= 1 more box
Step-by-step explanation:
Answer:81/100
Step-by-step explanation:
0.81
0.0 tenths
0.00 hunderts
