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Olin [163]
3 years ago
13

What is the surface area of the regular pyramid given below?

Mathematics
1 answer:
frosja888 [35]3 years ago
3 0

Answer:  

Total Surface Area of the given regular pyramid = 153 units²

Step-by-step explanation:

Base length of the regular pyramid, l  = 9 units

Base width of the regular pyramid, w = 9 units

Height of the regular pyramid, h = 7 units

Perimeter of base = 3 × 9

                              = 27 units

\text{Area of base = }\frac{1}{\times Base\times Height\\\\Area = \frac{1}{2}\times 9\times 7=21.5\:\:units^2

\text{Now, Total Surface Area = }\frac{1}{2}\times p\times l+A\\\\\implies\text{Total Surface Area = }\frac{1}{2}\times 27\times 9+31.5

Hence, Total Surface Area of the given regular pyramid = 153 units²

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5.16 Identify hypotheses, Part II: Write the null and alternative hypotheses in words and then symbols for each of the following
goblinko [34]

Answer:

<em>H</em>₀: <em>µ</em> = 1100 vs. <em>Hₐ</em>: <em>µ</em> ≠ 1100.

Step-by-step explanation:

A null hypothesis is a sort of hypothesis used in statistics that intends that no statistical significance exists in a set of given observations.  

It is a hypothesis of no difference.

It is typically the hypothesis a scientist or experimenter will attempt to refute or discard. It is denoted by H₀.

For instance, H₀: µ = µ₀, where µ₀ is some null value or some claimed value.

Whereas, the alternate hypothesis is the contradicting statement to the null hypothesis.

The alternate hypothesis describes direction of the hypothesis test, i.e. if the test is left tailed, right tailed or two tailed.

It is also known as the research hypothesis and is denoted by Hₐ.

In this case the hypothesis can be defined as follows:

Null hypothesis:

<em>H</em>₀: The average calorie intake of a diner at this restaurant is 1100, i.e. <em>µ</em> = 1100.

Alternate hypothesis:

<em>Hₐ</em>: The average calorie intake of a diner at this restaurant is different from 1100, i.e. <em>µ</em> ≠ 1100.

4 0
3 years ago
The population of a place increased to 54,000 in 2003 at a rate of 5% per annum. what would
svlad2 [7]

Answer:

The population in 2005 is 59,535 people.

Step-by-step explanation:

Annum means annually or yearly. We assume the rate has been consistent. To calculate percentage, take the percent in decimal form. 5% is 0.05 (like 17% is 0.17, and 50% 0.5). 5% is actually 5 hundredths of a number. Multiply this by the number you want the percentage of. 54,000*0.05=2,700. This is how much the population grows from 2003 to 2004.

There is a very common mistake people make after this, which is simply doubling that number and adding to the population. This is incorrect because if it grows 5% yearly, the yearly population CHANGES. The question would change if it were 2004 to 2005. Ask your teacher for clarification if this sounds wrong (if it is, do what I said above, the answer would be 59,400 people).

So, the population in 2004 is 54,000+2,700=56,700. Now, find 5% of the population in 2004 using the same method as before. 56,700*0.05=2,835. Add the growth to the pervious population. 56,700+2,835=59,535.

The population in 2005 is 59,535 people.

7 0
2 years ago
Write a function to represent the set of ordered pairs.<br><br> {(2, -2), (3, 8), (4, 22), (5, 40)}
natali 33 [55]

Answer:

y = 2x² - 10

Step-by-step explanation:

We must find a pattern in the numbers. Set out the numbers in a table (Columns 1 and 2 in the table).

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2   -2      -1           4

3    8       4           9

4  22      11          16

5  40    20         25

It looks like all y-values are multiples of 2.

Let's divide them by 2 (Column 3).

The numbers don't increase evenly. We may have a quadratic function.

If we add 5 to each quotient, we get a set of values equal to x² (Column 4).

y/2 +   5 = x²

y     + 10 = 2x²

y            = 2x² - 10

The function is y = 2x² - 10.

4 0
3 years ago
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