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2 years ago

Find the area of a rectangular garden plot that measures 21 ft by 25.2 ft. Report with the correct number of significant digits.

Mathematics

1 answer:

Levart [38]2 years ago

7 0

The area of a shape is the amount of space it occupies.

The area of the garden is 529.2 square feet

The given parameters are:

<em>Shape: Rectangle</em>

<em>Dimension: 21ft by 25.2ft</em>

The area of a rectangle is:

$\mathbf{Area = Length \times Width}$

So, we have:

$\mathbf{Area = 21 \times 25.2}$

$\mathbf{Area = 529.2}$

Hence, the area of the garden is 529.2 square feet

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Help, please! ASAP!!

In-s [12.5K]

Answer:

a) one solution

b) no solution

Step-by-step explanation:

Systems of equations can be described as having one solution, no solution or infinite solutions:

One solution: 'x' and 'y' are equal to only one value

No solution: 'x' and 'y' can not be solved with the given equations

Infinite solutions: values for 'x' and 'y' include all real numbers

In order to evaluate the systems, putting them in the same format is your first step:

a) - y = -5x - 6 or y - 5x = 6

y - 5x = -6

Since both equations have the same expression 'y - 5x', but there are equal to opposite values, this system would have no solution, as this would not be possible to calculate.

b) y + 3x = -1

y = 3x -1 or y - 3x = -1

Solving for 'y' by adding the equations and eliminating 'x', gives us:

2y = -2 or y = -1

Using y = -1 to plug back into an equation and solve for 'x': -1 + 3x = -1 or x = 0. Since 'x' and 'y' can be solved for a value, the system has just one solution.

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2 years ago

A business has two loans totaling $85,000. One loan has a rate of 4.5% and the other has a rate of 6%. This year, the business e

butalik [34]

Answer:

$30,000 and $55,000

Step-by-step explanation:

If 4.5% loan is x, and the 6% loan is y, then:

x + y = 85000

0.045x + 0.06y = 4650

Solve the system of equations with substitution or elimination. Using substitution:

0.045x + 0.06(85000 − x) = 4650

0.045x + 5100 − 0.06x = 4650

450 = 0.015x

x = 30000

y = 55000

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2 years ago

Read 2 more answers

The ratio of powder to water is 1:8 if there are 32 cups of powder how many cups of water are needed

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There are 256 cups of water needed. I hope this helped.

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2 years ago

Nationally, patients who go to the emergency room wait an average of 7 hours to be admitted into the hospital. Do patients at ru

valina [46]

For this study, we should use t-test and the null and alternative hypotheses would be given by H₀: μ = 7 and H₁: μ < 7.
The test statistic is -1.941 and the p-value (0.0381) is <u>greater than</u> α = 0.01.
Based on this, we should <u>fail to reject</u> the null hypothesis.
Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

<h3>How to calculate value of the test statistic?</h3>

The test statistics can be calculated by using this formula:

$t=\frac{x\;-\;u}{\frac{\delta}{\sqrt{n} } }$

<u>Where:</u>

x is the sample mean.

u is the mean.

is the standard deviation.

n is the number of hours.

For this study, we should use t-test and the null and alternative hypotheses would be given by:

H₀: μ = 7

H₁: μ < 7

$t=\frac{6.3\;-\;7}{\frac{1.3}{\sqrt{13} } }\\\\t=\frac{-0.7}{\frac{1.3}{3.6056 } }$

t = -0.7/0.3606

t = -1.941.

For the p-value, we have:

P-value = P(t < -1.9412)

P-value = 0.0381.

Therefore, the p-value (0.0381) is <u>greater than</u> α = 0.01. Based on this, we should <u>fail to reject</u> the null hypothesis.

Thus, the final conclusion is that the data suggest the population mean is not significantly lower than 7 at α = 0.01, so there is statistically insignificant evidence to conclude that the population mean waiting time to be admitted into the hospital from the emergency room for patients at rural hospitals is equal to 7 hours.

Read more on null hypothesis here: brainly.com/question/14913351

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1 year ago

How many lines of symmetry does an rectangle have

Alex73 [517]

Answer:

It has 2 i hope it's correct :)

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2 years ago