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4 years ago

Which of the following is an example of parallel lines?

Mathematics

2 answers:

RSB [31]4 years ago

8 0

Answer: C

Explanation: they will never touch

g100num [7]4 years ago

5 0

C because the lines don’t intersect at any point and never will

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It costs more to produce defective items - since they must be scrapped or reworked - than it does to produce non-defective items

ale4655 [162]

Answer: a) 1082, b) wider.

Step-by-step explanation:

Since we have given that

Margin of error = 0.1 millimeter = E

Standard deviation = 2 mm = σ

Critical value would be

$z_{\frac{\alpha}{2}}=z_{0.05}=1.645$

a) Sample size would be

$n=(\dfrac{z_{\frac{\alpha }{2}}\times \sigma}{E})^2\\\\n=(\dfrac{1.645\times 2}{1})^2\\\\n=1082.41\\\\n=1082$

b) Sample size, n = 100

So, the margin of error would be

$E=z_{\frac{\alpha }{2}}\times \dfrac{\sigma}{\sqrt{n}}\\\\E=1.645\times \dfrac{2}{\sqrt{100}}\\\\E=1.645\times \dfrac{2}{10}\\\\E=0.329$

Since the margin of error in b part is more than a part, as we know that the higher the margin of error, the wider the confidence interval.

So, it would have wider confidence interval.

Hence, a) 1082, b) wider.

4 0

3 years ago

Match each shape with its area formula.

valentinak56 [21]

square: A=s^2

triangle: A=(1/2)bh

rectangle: A=lw

parallelogram: A=bh

7 0

2 years ago

Which is not a way to name a line, (XYZ)?

lana66690 [7]

Answer:

YZX, YXZ, ZXY, XZY

Step-by-step explanation:

6 0

3 years ago

A circle is drawn inside a square so its circumference touches each of the four sides of the square. If the area of the circle i

Snowcat [4.5K]

Answer:

The length of the sides of the square is approximately 11.239 centimeters.

Step-by-step explanation:

Since the circle is inscribed in the square, the length of each side of the square ( $l$ ), in centimeters, is equal to the length of the diameter of the circle ( $D$ ), in centimeters. The area of the circle ( $A_{c}$ ), in square centimeters:

$A_{c} = \frac{\pi\cdot D^{2}}{4}$ (1)

Where $D$ is the diameter of the circle, in centimeters.

If we know that $A_{c} = 99.2\,cm^{2}$ , then the length of the sides of the square is:

$D = \sqrt{\frac{4\cdot A_{c}}{\pi} }$

$l = D \approx 11.239\,cm$

The length of the sides of the square is approximately 11.239 centimeters.

8 0

3 years ago

How to solve this using probability

Fudgin [204]

To solve this using probability simply count the shapes that have at least 4 sides, and represent it as a fraction among all shapes in the spinner.

P(4 sides) = 5/6.
P(tails) = 1/2.

Both are independent events and as such must be multiplied with each other.

5/6 • 1/2 = 5/12,

This is the combined probability of both events occurring.

8 0

3 years ago