Dalia buys a winter jacket at a used clothing store that costs $30. She lives in Idaho, where the sales tax is 6%. Write an equa
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Complete question:
Marvin is painting three squares shaped like the one below if it takes him exactly 4 cans of paint to paint square 3, five cans of paint to paint square 2 to how many cans of paint should he need to paint square one
Picture of squares is attached.
Answer:
9 cans of paint.
To paint square 1, he needs 9 cans of paint.
Step-by-step explanation:
Given that to paint square 3, four cans of paint are needed.
Therefore, let's take area of the square 3 as 4.
i.e a² = 4
Solving further, we have :
a = 2
We can say, each side of square 3 = 2 units
To paint square 2, five cans of paint are needed. Let's take the area of 2 to be 5.
i.e b² = 5
Solving further, we have :
We can say, each side of square 2 = units
Using Pythagoras theorem, we have that the area of the square of a hypotenuse in a 90° angle is equal to the sum of the areas of the other two squares.
Therefore,
h² = 4 + 5
h = 3 units.
We now know one side of the square 1 is 3 units.
Area of square 1 = 3²
Area = 9.
Therefore to paint square 1, he needs 9 cans of paint.
The confidence interval for the difference p1 - p2 of the population proportion is (0.063, 0.329)
<h3>How to determine the confidence interval?</h3>The given parameters are:
n₁ = 93; n₂ = 80
p₁ = 0.814; p₂ = 0.618
The critical value at 95% confidence interval is
z = ±1.96
So, we have:
Substitute known values in the above equation
Evaluate
This gives
CI = 0.196 ± 0.133
Expand
CI = (0.196 - 0.133, 0.196 + 0.133)
Evaluate
CI = (0.063, 0.329)
Hence, the confidence interval is (0.063, 0.329)
Read more about confidence interval at:
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