First find the slope of the given line:
4x +2y = 1
Subtract 4x from each side:
2y = -4x + 1
Divide both sides by 2:
y = -2x +1/2
The slope is -2.
Now use the slope to find the y-intercept. Because the line is perpendicular, you need to use the negative inverse of the slope.
The negative inverse of -2 is 1/2
Now using the point-slope form y - y1 = m(x-x1)
Use the inverse slope for m, and the given point(-4,3) to get:
y - 3 = 1/2(x+4)
Simplify:
y - 3 = x/2 +2
Add 3 to each side:
y = x/2 + 5
Reorder the terms to get y = 1/2x +5
The answer is D.
Hello there. ;D
How do you spell 4.10 as a word form
Answer: four and ten hundredths.<span>
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If one of our zeros is 4, then the factor is x-4. If the second zero is 5i, then the conjugate root theorem says there HAS to be a root that is -5i. So our 3 factors are (x-4)(x+5i)(x-5i). We will FOIL out these factors to get the polynomial. Let's start with the ones that contain the imaginary numbers. Doing that mutliplication we get x^2-25i^2. i^2 is equal to -1, so what that expression simplifies down to is
. Now we will multiply in that last factor of (x-4):
. FOILing out we have
. There you go!
Answer:
Option (B) a 95% confidence interval does not include the hypothesized value of the parameter
Step-by-step explanation:
Alpha, α = 0.05
We conduct a hypothesis test at 5% significance level.
The null hypothesis will be rejected when
Option (B) a 95% confidence interval does not include the hypothesized value of the parameter
- When a 95% confidence interval is constructed,it contains all the possible values for the parameter being estimated.
- If the value of the parameter stated in the null hypothesis is contained in the 95% confidence interval, then we fail to reject the null hypothesis 0.05 level and accept it.
- If the value stated in the null hypothesis is not in the interval, then we fail to accept the null hypothesis and reject the null hypothesis at the 0.05 level.
Answer:
The answer would be B, or the second option.
Step-by-step explanation:
To find the volume, you must multiply the length, width, and height of the object. (Length x Width x Height)
<em>l × w × h</em>
Replace each of the following variables with the length of each side. In this case, they are all 3, but remember that it doesn't matter in which order you put them in.
3 × 3 × 3.
Now multiply!
3 × 3 × 3 = 27 cubic feet.
Meaning, the final answer would be B.
