Write an expression to represent the area of a rectangle if the length of a rectangle is three units more than its width

1 answer:

5 0

We can call the width “x”. Since the length is three units more than its width, we can call the length “x+3”.

Thus, the area is x(x+3), which simplifies to x^2+3x.

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The mean weight of trucks traveling on a particular section of I-475 is not known. A state highway inspector needs an estimate o

kaheart [24]

Answer:

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

Step-by-step explanation:

We have the population's standard deviation, so we can find the normal confidence interval.

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.95}{2} = 0.025$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.025 = 0.975$ , so $z = 1.96$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

$M = 1.96*\frac{3.8}{\sqrt{49}} = 1.064$

The lower end of the interval is the sample mean subtracted by M. So it is 15.8 - 1.064 = 14.736 tons

The upper end of the interval is the sample mean added to M. So it is 15.8 + 1.064 = 16.864 tons

The 95 percent confidence interval for the population mean is between 14.736 tons and 16.864 tons.

4 0

3 years ago

Find lateral surface area help needed asap will give brainliest

Vilka [71]

Answer:

293.776 yd

Step-by-step explanation:

3A=3L×w A=10×12.2=122

A=12.2×7.04=85.888

3A=122+85.888+85.888=293.776

6 0

3 years ago

Draw scalene triangle ABC and extend side BC to the right of vertex C.

Doss [256]

Mark Brainliest please

See the image for the drawing
Let’s say the side BC is extended till D

1) measure of angle ACD = 105° ( angle ACD is exterior angle)
45 + 60 = 105
2) I found the answer by adding the values of Angle A and Angle B or by using the exterior angle property.
3) I observed that exterior angle property can be used here. Exterior angle property is that an exterior angle of a triangle is equal to the sum of the opposite interior angles.