You reject the Null Hypothesis only if the p-value is less than alpha.
p < 0.01
To find the p-value, you need to look up test value 2.07 in a standard normal table. The p-value is probability that Z > 2.07. For a two-tailed test, you include both positive and negative cases. |Z| > 2.07.
When you look up 2.07 you get about 0.98.
This means there is about 2% chance Z > 2.07 or 4% chance |Z| > 2.07.
For the two-tailed test we use p = 0.04
.04 > .01
Therefore we do Not reject the Null Hypothesis.
Ik one of them.. x = 6 to 000
Answer:
sin(-255°) = √2 + √6/4
Step-by-step explanation:
We need to find sin -255°
We know that sin(-a) = - sin(a)
so, sin(-255°) = - sin 255°
We know that 180° + 75° = 255°
Now we can write sin(255°) = sin(180° + 75°)
We can use the identity:
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
x = 180° , y = 75°
Solving,
sin(x+y) = sin(x) cos(y)+cos(x)sin(y)
sin(180° + 75°) = sin(180°) cos(75°)+cos(180°)sin( 75°)
sin(180°) = 0
cos(75°) = √6 -√2/4
cos(180°) = -1
sin( 75°) = √2 + √6/4
Putting values,
sin(180° + 75°) = 0 (√6 -√2/4) + (-1)(√2 + √6/4)
sin(180° + 75°) = -(√2 + √6/4)
We know that sin(-255°) = -sin(255°)
Putting value of sin(255°)
sin(-255°) = -(-(√2 + √6/4))
sin(-255°) = √2 + √6/4
Answer:
The last equation x2 - 2x -4 = 0
has solution (x - 1)^2 - 5 = 0, x = 1 + root(5) or x = 1 - root(5)
Step-by-step explanation:
If a quadratic function has roots 1 and 5
f(x) = (x -1)(x- 5)
f(x) = x^2 - 6x + 5
Unless you meant. -4 and 6 ?
g(x) = (x + 4)(x - 6)
g(x) = x^2 -2x -24
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Or did you mean x = 1 and x =4 ?...
x^2 + 2x + 4 = 0 : complete square x^2 + 2x + 1 + 3 = 0, (x+1)^2 + 3 = 0
x^2 - 2x + 4 = 0 : complete square: (x -1)^2 + 3 = 0
0x^2 + 2x - 4 = 0, 2x - 4 = 0, x = 2
x^2 - 2x - 4 = 0 becomes: x^2 - 2x + 1 - 1 -4 = 0 ; (x - 1)^2 - 5 = 0
Answer:
She will pay $3,000 less if she pays a down payment of $3,000.
Step-by-step explanation:
Down-payments are just payments you make on the spot for the vehicle.
