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o-na [289]
4 years ago
15

What is the Measure of

Mathematics
1 answer:
netineya [11]4 years ago
8 0

Answer: 90°

Step-by-step explanation:

A measure of central tendency is a single value that attempts to describe a set of data by identifying the central position within that set of data. ... The mean (often called the average) is most likely the measure of central tendency that you are most familiar with, but there are others, such as the median and the mode.

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Find the product. Your answer must be in simplest form.<br> 7/8 of 56
Leviafan [203]

Answer:

You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.

Here's a little tip for you. Any number can be converted to fraction if you use 1 as the denominator:

56

1

So now that we've converted 56 into a fraction, to work out the answer, we put the fraction 7/8 side by side with our new fraction, 56/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

7 x 56

8 x 1

=  

392

8

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.

You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 392 and 8 is 8.

We can now divide both the new numerator and the denominator by 8 to simplify this fraction down to its lowest terms.

392/8 = 49

8/8 = 1

When we put that together, we can see that our complete answer is:

49

1

The complete and simplified answer to the question what is 7/8 of 56 is:

49

Hopefully this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Gasoline at a particular gas station costs $2.78 per gallon. If Cory buys $18 of gas, how many gallons did he buy?
Anon25 [30]

Answer:

Cory bought 6.474 gallons of gasolline.

Step-by-step explanation:

The total cost of gasoline (C), measured in dollars, is given by the following expression:

C = n\cdot c

Where:

n - Amount of gasoline, measured in gallons.

c - Unit cost, measured in dollars per gallon.

Given that C = \$\,18 and c = \$\,2.78\,\frac{1}{gal}, the amount of gasoline is cleared and calculated:

n = \frac{C}{c}

n = \frac{\$\,18}{\$\,2.78\,\frac{1}{gal} }

n = 6.474\,gal

Cory bought 6.474 gallons of gasolline.

3 0
3 years ago
The list below shows all of the possible outcomes for flipping four coins. HHHH HHHT HHTH HHTT HTHH HTHT HTTH HTTT THHH THHT THT
Anton [14]

Answer

11 over 16

Step-by-step explanation:

i have no explanation but i got it right

6 0
3 years ago
Read 2 more answers
5. The dimensions, in inches, of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. T
meriva
The volume of a cuboid is given by length × width × height

We have:

Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x

Substituting these into the formula, we have:

7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6

Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8

Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting  0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

7 0
3 years ago
A silo is to be built by attaching a hemisphere roof onto a circular cylinder. The hemisphere part of the silo is constructed by
crimeas [40]

The radius and height, in two decimal places are mathematically given as

r=10.60

<h3>What is the radius and height, in two decimal places?</h3>

Generally, the equation for the volume is mathematically given as

V=\pi r^{2} h+\frac{2}{3} \pi r^{3}

Therefore

5000 &=\pi 0^{2} h+\frac{2}{3} \pi r^{3}

V(r, h) &=\pi r^{2} h+\frac{2}{3} \pi r^{3}-5000 \\\nabla V &=\left\langle 2 \pi r h+2 \pi r^{2}, \pi r^{2}\right\rangle \\

\cos t &=100\left(2 \pi r^{2}\right)+75(2 \pi r h) \\\\\cos t &=200 \pi r^{2}+150 \pi r h \\\\\nabla C(r, h) &=\langle 400 \pi r+150 \pi h, 150 \pi r\rangle

Using Lagrange method

$\langle 400 \pi \gamma+150 \pi \gamma h, 150 \pi \gamma\rangle=\lambda\left\langle 2 \pi \gamma h+2 \pi \gamma^{2}, \pi r^{2}\right\rangle$

$400 \pi r+150 \pi r=\left(2 \pi r h+2 \pi r^{2}\right) \lambda$

$400 \pi \gamma+150 \pi h=300 \pi h+300 \pi r \\\\

$400 \pi r-300 \pi r=150 \pi h$

$160 \pi r=150 \pi h \quad \\\\\\

with

h=\frac{2}{3} r $

$\pi r^{2} h+\frac{2}{3} \pi r^{3}=5000$

\pi r}\left(\frac{2}{3} r \right)+\frac{2}{3} \pi^{3}=5000$

$\frac{4 \pi \gamma^{3}}{3}=5000 \quad

r^{3}=\left(\frac{5000 \times 3}{4 \pi}\right)$

r=10.60

In conclusion, the radius and height, in two decimal places is

r=10.60

Read more about radius

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8 0
2 years ago
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