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3 years ago

Please help me figure this out

Mathematics

1 answer:

Gnom [1K]3 years ago

4 0

Answer:

True

(1) You can prove two triangles are similar using AA similarity.

(2)If side length of similar figure have ration $\frac{m}{n}$ then the ratio of surface areas will be: $\frac{m^2}{n^2}$

(3)If side length of similar figure have ratio of $\frac{2}{3}$ then perimeter will have ratio: $\frac{2}{3}$ .

False:

(1)If side length of similar figure have ration $\frac{m}{n}$ then the ratio of Volumes will be: $\frac{m^3}{n^3}$

(2)If side length of similar figure have ration $\frac{m}{n}$ then the ratio of surface area will be: $2\frac{m}{n}$

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Give at least four different symbols that have been used to represent specific statistical measures. Describe what measure each

natta225 [31]

Answer:

Variance 0²

standard deviation 0×

mean α

median x-bar

Step-by-step explanation:

these are the four different symbols that have been used to represent specific statistical measures like for example, mean which is used to calculate the average value of a sample or population. Variance is the what is expected from the squared standard deviation of a random variable from is average vale/ mean. Median is the value that lies in the middle in a random sample and lastly the standard deviation is the square root of the variance and it measures how the values of sample are spread or how far are they from the mean. these are also commonly use in excel a lot to calculate and evaluate data.

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3 years ago

Find the first six terms of the sequence.<br> a = 1, an = 4.an-1 (7 points)

BlackZzzverrR [31]

Answer:yes

Step-by-step explanation:

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4 years ago

A manufactured product has a length that is normally distributed with a mean of 12 cm. The product will be unusable if the lengt

Sav [38]

Answer:

a) σ = 0,1612

b) P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %

Step-by-step explanation:

NOTE: I assume the unusable length s 11,5 and less

a) For a normal distribution, the probability of P = 0,01 corresponds to z(score) = -3,1 then:

- 3,1 = ( X - μ₀ ) / σ

- 3,1 = (11,5 - 12 )/ σ

-3,1 = - 0,5 / σ

σ = 0,1612

b) If σ = 0,1612

P [ 11,75 < X < 12,35]

z₁ (score) = ( 11,75 - 12 ) / 0,1612

z₁ = - 0,25/ 0,1612

z₁ = -1,55

From z table P [ 11,75 < X] = 0,0606

z₂ (score) = ( 12,35 - 12) / 0,1612

z₂ = 0,35 / 01612

z₂ = 2,17

From z table P [ X < 12,35] = 0,9850

Finally P [ 11,75 < X < 12,35] = 0,9850 - 0,0606

P [ 11,75 < X < 12,35] = 0,92,44 or 92,44 %

5 0

3 years ago

In early 2012, the Pew Internet and American Life Project asked a random sample of U.S. adults, "Do you ever ... use Twitter or

8090 [49]

Answer:

The confidence interval for the mean is given by the following formula:

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

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

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 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

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

And the confidence interval is given by:

(0.123, 0.177)

And for this case the interval contains the value 0.16, so then we can conclude at 5% of significance that the true proportion is not different from 0.16

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4 years ago

Y=f(x+4) graphed help

Inessa [10]

Answer: y=fx+4f

Step-by-step explanation:

There is no graph possible for this equation.

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4 years ago