All categories

3 years ago

What happens to a rectangular prism when the length and width are both doubled and the height is trippled

1 answer:

3 0

If you double the width you make a similar prism with a scale factor of two, the surface area of the similar prism will increase as the square of the scale factor

You might be interested in

Historically, these bolts have an average thickness of 10.1 mm. A recent random sample of 10 bolts yielded these thicknesses:

Akimi4 [234]

Answer:

a) Sample mean = 9.99

Sample standard deviation = 0.3348

b) -1.0389

c) 0.1631

Step-by-step explanation:

We are given the following in the question:

9.7, 9.9, 10.3, 10.1, 10.5, 9.4, 9.9, 10.1, 9.7, 10.3

a) sample mean and standard deviation

Formula:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{99.9}{10} = 9.99$

Sum of squares of differences = 1.009

$S.D = \sqrt{\dfrac{1.009}{9}} = 0.3348$

b) observed value of the t-statistic

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{9.99 - 10.1}{\frac{0.3348}{\sqrt{10}} } = -1.0389$

c) probability of these statistics (or worse) if the true mean were 10.1 mm

Degree of freedom = n - 1 = 9

Calculating the value from the table

$P(x < 9.99) = 0.1631$

0.1631 is the the probability of these statistics (or worse) if the true mean were 10.1 mm

8 0

3 years ago

Which expressions are equivalent to 10a - 25+ 5b

PIT_PIT [208]

What are the choices?

5 0

3 years ago

Read 2 more answers

Use order of operations to solve: 4(12*6-4^2)+9

Dominik [7]

Answer: =233

Step-by-step explanation: 4((12)(6)−4^2)+9

Hope this help

8 0

3 years ago

A diamond ring costs $1,020 to manufacture and is sold in stores for $1,275. While, a ruby ring that normally sells for $290 is

Serggg [28]

Answer:

The 2nd paragraph has the straightforward answer, technically.

This is an example of gross domestic product and today's marketing. When a product is usually paid more money to manufacture than it costs to actually sell. However, the usual difference between manufacturing cost and sales cost is on average is at most 5 - 15% of the manufacturing cost.

The second problem however is just the perfect example of sales and sales tax. The diamond ring is on sale for 30% off in this case, because 290 divided by its percent is equal to 30%, the remaining amount.

6 0

3 years ago

Anya bought some cans of paint. She used 9 of them to

kati45 [8]

equation would be 23 plus 9 equals 32 or p, the number of cans she bought

7 0

3 years ago