Answer:
≈5.6
Step-by-step explanation:
Use ratios: 4/3 = 7.5/x
3 times 7.5 then divide by 4 to get 5.6
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Answer:
Step-by-step explanation:
Assume the barn is 80 ft long, 50 ft wide, and 30 ft high
1. Area to paint
They will be painting two sides and two ends.
The sides are 80 ft × 30 ft.
The ends are 50 ft × 30 ft,
Area of sides = 2 × 80 ft × 30 ft = 4800 ft²
Area of ends = 2 × 50 ft × 30 ft = <u>3000 ft²</u>
Total area = 7800 ft²
2. Amount of paint needed
One gallon covers 420 ft².
They usually sell barn paint in whole gallons. Alexis will have to buy 19 gal of paint to cover the whole barn.
3. Total Cost
It costs $28 for one gallon of paint,
You will notice that 48°, x, and x lie upon a straight line. The sum of those angles must then be equal to 180°. Which means:
48+x+x=180
48+2x=180
2x=132
x=66°
Answer:
The 80% confidence interval would be given by (0.339;0.401)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
For this case the estimated proportion of interest would be
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 80% of confidence, our significance level would be given by and . And the critical value would be given by:
The confidence interval for the mean is given by the following formula:
If we replace the values obtained we got:
The 80% confidence interval would be given by (0.339;0.401)