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Karolina [17]
3 years ago
5

The point (p,q) is on the graph of values from a ratio table. What is another point on the graph?

Mathematics
2 answers:
Anestetic [448]3 years ago
8 0

In the previous activities, we constructed a number of tables.  Once we knew the first numbers in the table, we were often able to predict what the next numbers would be.  Whenever we can predict numbers in one row of a table by multiplying numbers in another row of a table by a given number, we call the relationship between the numbers a ratio.  There are ratios in which both items have the same units (they are often called proper ratios).  For example, when we compared the diameter of a circle to its circumference, both measured in centimeters, we were using a same-units ratio.  Miles per gallon is a good example of a different-units ratio.  If we did not specifically state that we were comparing miles to gallons, there would be no way to know what was being compared!

When both quantities in a ratio have the same units, it is not necessary to state the unit.  For instance, let's compare the quantity of chocolate chips used when Mary and Quinn bake cookies.  If Mary used 6 ounces and Quinn used 9 ounces, the ratio of Mary's usage to Quinn's would be 2 to 3 (note that the order of the numbers must correspond to the verbal order of the items they represent).  How do we get this?       One way would be to build a table where the second row was always one and a half times as much as the first row.  This is the method we used in the first two lessons.  Another way is to express the items being compared as a fraction complete with units:

<span>6 ounces
9 ounces</span>Notice that both numerator and denominator have the same units and thus we can "cancel out" the units.  Notice also that both numerator and denominator have values that are divisible by three.  When expressing ratios, we generally treat them like fractions and "reduce" or simplify them to the smallest numbers possible (fraction and colon forms use two numbers, as a 3:1 ratio, whereas the decimal fraction form uses a single number—for example, 3.0—that is implicitly compared to the whole number 1).<span>
</span>
serg [7]3 years ago
7 0

Answer:

<h2>(2p;2q), (3p;3q), (4p;4q), ..., (np;nq)</h2>

Step-by-step explanation:

We know that, (p,q) is on a ratio, this means that any other point on the graph can be found by multiplying a factor to each coordinate.

So, points like (2p;2q), (3p;3q), (4p;4q), ..., (np;nq), all of them should be on the graph becase they are in the same ration of the initial point (p,q), and this point is in the ratio of the table.

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Margarita [4]

Answer: 6

Step-by-step explanation:

4 0
3 years ago
What’s the answer and the work ?
Phoenix [80]

Answer:

2√14

Step-by-step explanation:

√56

√2^2 x 14

√2^2 √14

2√14

5 0
3 years ago
How do you do solve this?
solniwko [45]
The relative frequency is the frequency of the item divided by the total number of all items. The total number of all items here is: 50 + 40 + 90 +20 = 200.

Burgers =  \frac{50}{200} = 25%
Pasta =  \frac{40}{200} = 20%
Pizza =  \frac{90}{200} = 45%
Salad =  \frac{20}{200} = 10%

Hope this helps!
3 0
3 years ago
In a random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand. C
horrorfan [7]

Answer:

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

Step-by-step explanation:

<em>Step(i)</em>:-

<em>Given sample size 'n' =300</em>

Given data  random sample of 300 attendees of a minor league baseball game, 182 said that they bought food from the concession stand.

<em>Given sample proportion </em>

<em>                        </em>p^{-}  = \frac{x}{n} = \frac{182}{300} =0.606

level of significance = 90% or 0.10

Z₀.₁₀ = 1.645

<em>90% confidence interval for the proportion is determined by</em>

(p^{-} - Z_{0.10}\sqrt{\frac{p(1-p)}{n} }  , p^{-} +Z_{0.10}\sqrt{\frac{p(1-p)}{n} })

(0.6066 - 1.645\sqrt{\frac{0.6066(1-0.6066)}{300} }  ,0.6066+1.645\sqrt{\frac{0.6066(1-0.6066)}{300} })

(0.6066 -  0.0463  ,0.6066 +  0.0463)

(0.5603,0.6529)

<u>final answer</u>:-

<em>90% confidence interval for the proportion of fans who bought food from the concession stand</em>

(0.5603,0.6529)

5 0
3 years ago
The speed of a sparrow is x km/h in still air. When the
Semmy [17]

Answer:

x = 5m/s

Step-by-step explanation:

Distance flying out = 12 km  (headwind)

Distance flying back = 12 km (tailwind)

total distance = 12 + 12 =24 km

wind speed = 1km/h

speed going out (with headwind) = (x - 1) km/h

speed coming back (with tailwind) = (x + 1) km/h

Time taken to go out = distance going out / speed going out

= 12 / (x-1)

Time taken to come back = distance coming back / speed coming back

= 12 / (x+1)

total time = time taken to go out + time taken to come back

5 =[ 12/(x-1) ] + [ 12/(x-1)]

expanding this, we will get

5x² - 24x - 5 = 0

solving quadratic equation, we will get

x = -1/5 (impossible because speed cannot be negative)

or

x = 5 (answer)

4 0
3 years ago
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