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lbvjy [14]
2 years ago
13

Find the solutions to the equation −16t2+40t+5=10 using the quadratic formula.

Mathematics
1 answer:
dimulka [17.4K]2 years ago
5 0

Answer:

x1= \frac{5-2\sqrt{5} }{4} \\  x2=\frac{5+2\sqrt{5} }{4}

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Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h
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Answer:

95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.

Step-by-step explanation:

Confidence interval is given as mean +/- margin of error (E)

Data: 5, 15, 12, 22, 27

mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months

sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months

n = 5

degree of freedom = n-1 = 5-1 = 4

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776

E = t×sd/√n = 2.776×7.68/√5 = 9.53 months

Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months

Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months

95% confidence interval is (6.67, 25.73)

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2 years ago
A cube is 6 feet on each side. What is its volume?
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Answer:

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Step-by-step explanation:

First what you want to do is add together the common numbers

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How to simplify fully
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.that's how 2 solve it

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