Step by Step Explanation:
x5−3x4+x2−4+5x4+3x2+2x+1
=x5+−3x4+x2+−4+5x4+3x2+2x+1
Combine Like Terms:
=x5+−3x4+x2+−4+5x4+3x2+2x+1
=(x5)+(−3x4+5x4)+(x2+3x2)+(2x)+(−4+1)
=x5+2x4+4x2+2x+−3
Answer:
x5+2x4+4x2+2x−3
Answer:
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 0.262
Alternative Hypothesis H₁ : p > 0.262.
p" = 0.357
q = 1 - p = 1 - 0.262 = 0.738
n = 98
so;
z = (p" - p) / √(pq/n)
we substitute
z = (0.357 - 0.262) / √((0.262×0.738) / 98)
z = 0.095 / 0.04441869
z = 2.1387
at 5% CONFIDENCE INTERVAL
z-critical = 1.645
Since 2.1387 is Greater Than 1.645;
we reject null hypothesis; we conclude that, the nickname is justified based on the data.
Answer:
$11.50 is the cost for 2 pounds of walnuts
Expression: 7p - 2.50
Step-by-step explanation:
First, create an expression to represent the cost:
7p will represent the cost, since the walnuts are $7 per pound, and 2.50 needs to be subtracted from this because of the coupon for $2.50 off
So, the expression is 7p - 2.50
Use this expression to find the price for 2 pounds of walnuts:
7p - 2.50
7(2) - 2.50
14 - 2.50
= 11.50
So, the cost with the coupon will be $11.50
Answer:
Step-by-step explanation:
1. The slope-intercept form of a linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.
2. To find the slope, let's take the two points (-10,-3) and (-8,-4) to then plug their values into this formula:
3. Great, now that we have our slope, the equation looks like this so far: .
4. Since b is the y-intercept, b = -8 because the line intersects the y-axis at the coordinate, (0,-8).
5. When plugging in the values of m and b, we get the equation of
Answer:
3/4
Step-by-step explanation:
Use . From the bottom red point, you have to go up 3 and left 4 to get to the top point. That's your answer.