Answer:
3/4 is less < than 5/6
Step-by-step explanation:
Answer:
4.02 meters.
Step-by-step explanation:
In the diagram, the length of the ladder is |AC|.
If the foot of the ladder is x meters from the base of the ladder
Then the distance of the ladder up the wall, AB=2x meters.
Using Pythagoras Theorem

Therefore, the distance of the ladder up the wall,
AB=2 X 2.01 =4.02 meters.
Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie. The required critical value is 1.31.
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What are critical Values?</h3>
Critical values are basically cut-off values that indicate regions where the test statistic is unlikely to lie; for example, if the null hypothesis is true, the critical value is surpassed with probability alpha.
The value of α can be written as,
α = 1 - 0.81 = 0.19
Now, using the z-table the value of z will be,
z = 1.31
Hence, the required critical value is 1.31.
Learn more about Critical Values:
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Answer:
B.
200x + 800 = 1,600; 4 months
Step-by-step explanation:
Since 200 is the amount you pay each month, and x is the months, we pay 200 dollars for each month. We also add 800 because that was the initial price she paid, which is known. We then complete the equation by making it equal to 1600 dollars, which is the total amount she paid.
When we get 200x + 800 = 1,600, we solve for x.
First, we minus 800 on each side to isolate x. 200x=1600-800
Then, we simplify, 200x=800
Lastly we divide by 200 on both sides to completely isolate x and complete the equation. 200x=800÷200
Simplify, getting x=4 (months)
Hope you understood!
Answer:
The value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4
Step-by-step explanation:
Given
f(x) = 3x² + x - 3
g(x) = x² - 5x + 1
To determine
f(x) - g(x)
Using the formula
f(x) - g(x) = 3x² + x - 3 - ( x² - 5x + 1)
= 3x² + x - 3 - x² + 5x - 1
= 2x² + 6x - 4
Therefore, the value of f(x) - g(x) is:
f(x) - g(x) = 2x² + 6x - 4