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3 years ago

A rectangular playground has an area of 3392 m². If the width of the rectangle is 32 m find the length

1 answer:

6 0

Since we already know the area and width of the playground, and we are trying to find the length, we simply need to divide 3392 by 32. This gives us an answer of 106m.

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The producer of a certain bottling equipment claims that the variance of all its filled bottles is .027 or less. A sample of 30

Darya [45]

Answer:

The p-value for the test is 0.0459.

Explanation:

The question involves a chi-squared test whose p-value is to be determined.

H₀: σ² ≤ 0.027 (null hypothesis)

H₁: σ² > 0.027 (alternative hypothesis)

Standard deviation = s = 0.2

Hence, s² = (0.2)² = 0.04

Sample size = n = 30

Degree of freedom = n - 1 = 30 - 1 = 29

Significance level = 0.05

Test statistic: X² = (n - 1)s² / σ²

= (30 - 1) x 0.04 / 0.027

= 42.9629

The p-value can now be determined using the Excel function:

CHISQ.DIST.RT(42.9629,29) = 0.0459

Hence, the p-value for the test is 0.0459.

3 0

3 years ago

Read 2 more answers

Of the town's 42 firefighters, 16 volunteered for the special rescue team. Express the portion who did not volunteer.

Doss [256]

42 firefighters in total.

16 volunteered for the special rescue team.

n + 16 = 42

or it could be this way:

42 - 16 = n

8 0

4 years ago

Given the slope a slope of 2 and a y-intercept of 7, write the equation in slope intercept form

MariettaO [177]

Answer:

$y = 2x + 7$

Step-by-step explanation:

$y = mx + b$

m = slope

b = y-intercept

4 0

3 years ago

The second of 2 numbers is 5 more than twice the first. Their sum is 29. Find the numbers. (With steps)

hodyreva [135]

So the equation is x + 2x + 5= 29
Here are the steps            -5    -5
                               -----------------------
                                        3x   = 24
      Divide both sides by 3 so you get
                                          x = 8
Then look back at the question, the second number has to be twice that number plus 5
                 So the 1st number is 8 The second # is 2(8)+5= 21

8 0

3 years ago

Joshua has $4,200 to invest for college. If Joshua invests $4,200 for 3 years and earns $630, what is the simple interest rate?

Rama09 [41]

Answer:

The simple interest rate is 5%.

This is possible with a rate of 6%, since in this case, his amount earned will be $5,208.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$