Write at least three equivalent names for 9%

The makers of a soft drink want to identify the average age of its consumers. A sample of 16 consumers is taken. The average age

vodomira [7]

Answer:

Step-by-step explanation:

Assuming a normal distribution for the age of the consumers. We want to determine a 95% confidence interval for the true average age of the consumers.

Number of sample, n = 16

Mean, u = 22.5 years

Standard deviation, s = 5 years

For a confidence level of 95%, the corresponding z value is 1.96. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

22.5 ± 1.96 × 5/√16

= 22.5 +/- 1.96 × 1.25

= 22.5 +/- 2.45

The lower end of the confidence interval is 22.5 - 2.45 =20.05

The upper end of the confidence interval is 22.5 + 2.45 =24.95

For 80% confidence interval,

the corresponding z value is 1.28. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

22.5 ± 1.28 × 5/√16

= 22.5 +/- 1.28× 1.25

= 22.5 +/- 1.6

The lower end of the confidence interval is 22.5 - 1.6 =20.9

The upper end of the confidence interval is 22.5 + 1.6 =24.1

95% provides a wider interval than 80%. The wider the possible values of the true mean, the more confident we are. The lesser the possible values of the true mean, the less confident we are

4 0

4 years ago

Merry is making an abstract triangular collage for the wall. She has 14 feet of edging to go around the collage. If the longest

xxTIMURxx [149]

Answer:

The length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

Step-by-step explanation:

She has 14 feet of edging to go around the collage.

14 feet = Perimeter of the triangle

The Perimeter of a Triangle = a + b + c where

a = smallest side

b = other side(second side)

c = Longest side

From the question, we are told that:

If the longest side is twice the smallest

c = 2a

The other side is four less than three times the smallest,

The other side = b

b = 3 × a - 4

b = 3a - 4

Hence,

P = a + b + c

14 = a + 3a - 4 + 2a

14 = a + 3a + 2a -4

14 = 6a - 4

Collect like terms

14 + 4 = 6a

18 = 6a

a = 18/6

a = 3ft

Therefore the smallest side = 3

The Longest side(c) = 2a

c = 2 × 3

c = 6ft

The other side(b) = 3a - 4

= 3(3) - 4

= 9 - 4

= 5 feet.

Therefore, the length of each side of the triangular collage:

a = smallest side = 3 feet

b = other side(second side) = 5 feet

c = Longest side = 6 feet

6 0

4 years ago

Please convert .9555555555555 into a fraction

Reil [10]

Answer:

-4449/-4656

Step-by-step explanation:

There is not much that can be done to figure out how to write .9555555555555 as a fraction, except to literally use what the decimal portion of your number, the .9555555555555, means.

Since there are 13 digits in 9555555555555, the very last digit is the "10000000000000th" decimal place.

So we can just say that .9555555555555 is the same as 9555555555555/10000000000000.

The fraction fmtterm: Can't handle [-2147483648/-2147483648] ? is not reduced to lowest terms. We can reduce this fraction to lowest

terms by dividing both the numerator and denominator by -2.14748e+09.

Why divide by -2.14748e+09? -2.14748e+09 is the Greatest Common Divisor (GCD)

or Greatest Common Factor (GCF) of the numbers 9.55556e+12 and 1e+13.

So, this fraction reduced to lowest terms is

So your final answer is: .9555555555555 can be written as the fraction

4 0

3 years ago

Read 2 more answers

A class conducts a survey of 1,000 students. The survey reveals that 20% of the students speak Spanish. How many speak Spanish?