Answer:
y = x² - 10x + 41
Step-by-step explanation:
The standard form of a quadratic is ax² + bx + c : a ≠ 0
Given
y = (x - 5)² + 16 ← expand (x - 5)²
= x² - 10x + 25 + 16
= x² - 10x + 41 ← in standard form
Answer:
y=32
Step-by-step explanation:
The relationship between the value of x and y is multiplying by 8, therefore when x equals 4, y equals 32.
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Answer:
x > -3
Step-by-step explanation:





The confidence interval is

We first find p, our sample proportion. 118/200 = 0.59.
Next we find the z-score associated with this level of confidence:
Convert 98% to a decimal: 98% = 98/100 = 0.98
Subtract from 1: 1-0.98 = 0.02
Divide by 2: 0.02/2 = 0.01
Subtract from 1: 1-0.01 = 0.99
Using a z-table (http://www.z-table.com) we see that this value is associated with a z-score of 2.33.
The margin of error (ME) is given by

This gives us the confidence interval
Answer:
62.333 inches
Step-by-step explanation:
To find the value of x, or the height of the object, we can set up an equation to solve for the missing variable. This is shown below:
x*3.5*3=561 cubic inches
To solve for X, we divide the 3.5 over to the other side, resulting in x*3 = 187
To get the x by itself, we divide both sides by 3 to remove the 3 from the left side of the equation.
We are left with x = 62.333 inches.
Therefore, the height of the box is 62.333 inches