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3 years ago

In your pattern which shape covers more of the plane blue rhombus red trapezoid or green triangles? Explain how you know.

Mathematics

1 answer:

mixas84 [53]3 years ago

3 0

Answer:

Which shapes cover more of the plane" means that we are comparing the areas covered by the different types of shapes. In these patterns, two triangles match up to one rhombus, and three triangles match up to one trapezoid.

In both Pattern A and Pattern B, the first hexagonal part is made up of 7 triangles, 4 rhombuses, and 3 trapezoids.

The first hexagonal part is repeated across the pattern, so whichever type of shape covers the most area of this first part also covers the most area in the whole pattern.

hope it helps

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Which of the two functions has the greater value for the y-intercept? Explain your reasoning. Which of the two functions has the

Solnce55 [7]

Answer:

Function 1

Step-by-step explanation:

The y-intercept is the y-value when the x-value = 0.

In Function 1 the y-intercept is 1 because (0, 1).

In Function 2 the y-intercept is -3 because x = 0 y = -3.

And 1 > -3 so Function 1 is the answer.

8 0

2 years ago

You wish to compute the 99% confidence interval for the population proportion. How large a sample should you draw to ensure that

Nataly_w [17]

Answer:

$n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47$

And rounded up we have that n=99

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.13$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

We assume the value for $\hat p =0.5$ since we don't have previous info. And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.13}{2.58})^2}=98.47$

And rounded up we have that n=99

4 0

3 years ago

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I need help ASEP please help me

Arisa [49]

Answer:

Step-by-step explanation:

it is 5 because you do 1+4=5

6 0

2 years ago

Can someone help me with this math homework please!

mamaluj [8]

Answer:

The rock hits the ground between 2 seconds and 2.5 seconds after it is dropped

Step-by-step explanation:

The given table is presented as follows;

$\begin{array}{ccl}t&h(t)&Description\\0&20&Initial \ height\\0.5&18.8&Rock \ in \ downward \ motion\\1&15.1&\\1.5&9&\\2&0.4&The \ height \ just \ before \ the \ rock \ hits \ the \ ground \\2.5&-10.6&The \ calculated \ height \ after\ the \ rock \ hits \ the \ ground \\3&-24.1&Calculated \ height \ after\ the \ rock \ hits \ the \ ground\end{array}$

Therefore, the rock hits the ground between t = 2 seconds and t = 2.5 seconds after it is dropped.

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3 years ago

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Tju [1.3M]

5. complementary = 80 degrees
supplementary = 170 degrees

6. complementary = 47.5 degrees
supplementary = 137.5 degrees

7. complementary = 10 degrees
supplementary = 100 degrees

8. false
9. true
10. true
11. true
12. false
13. true
14. false

6 0

2 years ago

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