12. Based on the pattern below, what would you expect the next block to look like? O

Mathematics

1 answer:

TiliK225 [7]3 years ago

8 0

Answer:

Choice 3

Step-by-step explanation:

The block is rotating counterclockwise 90º each time. If you visualize the cube you can think of the triangle rotating and the circle being on the face adjacent to the triangle's base.

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The result of taking 3 from x and multiplying the answer by 4 is the same qs taking 3 from 5 times x

Alekssandra [29.7K]

Answer:

I think it is this:

4(x-3) = x(5-3)

4x-12 = 5x-3x

2x = 12

x = 6

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3 years ago

A data set includes 108 body temperatures of healthy adult humans having a mean of 98.3degrees°F and a standard deviation of 0.6

mylen [45]

<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size : n=106

Sample mean : $\overline{x}=98.3^{\circ}\ F$

Standard deviation : $\sigma= 0.69^{\circ}F$

Significance level : $\alpha: 1-0.99=0.01$

Critical value : $z_{\alpha/2}=2.576$

Then , 99% confidence interval estimate of the mean body temperature of all healthy humans will be :-

$98.3\pm (2.576)\dfrac{0.69}{\sqrt{106}}\\\\\approx98.3\pm0.173=(98.3-0.173,\ 98.3+0.173)=(98.127,\ 98.473)$

Since 98.6 is higher than the upper limit of the confidence interval (98.473), then this suggest that the mean body temperature could be lower then 98.6 degrees.

The best estimate of population mean is always the sample mean. $\mu=\overline{x}=98.3^{\circ}\ F$