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3 years ago

(-9.-2). (4.2) Midpoint

Mathematics

1 answer:

Sladkaya [172]3 years ago

6 0

Answer:

(-13/2 , 2)

Step-by-step explanation:

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What is the difference between categorical and quantitative data? Give examples of each of your own for each. Also decide whethe

Snezhnost [94]

Categorical data may or may not have some logical order while the values of a quantitative variable can be ordered and measured.

Categorical data examples are: race, sex, age group, and educational level

Quantitative data examples are: heights of players on a football team; number of cars in each row of a parking lot

a) Colors of phone cover - quantitative

b) Weight of different phones - quantitative

c) Types of dogs - categorical

d) Temperatures in the U.S. cities - quantitative

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3 years ago

As a first step in solving the system shown, Yumiko multiplies both sides of the equation 2x – 3y = 12 by 6. By what factor shou

GenaCL600 [577]

Answer:

Yumiko should multiply the other equation by 3.

If she adds the two equations she would be left with the variable 'x'.

Step-by-step explanation:

Given the two equations are as follows:

$2x - 3y = 12 \hspace{5mm} \hdots (1)$

$5x + 6y = 18 \hspace{5mm} \hdots (2)$

It is given that she multiplies the first equation by 6. Therefore, (1) becomes

$12x - 18y = 72 \hspace{15mm} \hdots (a)$

Now, note that the sign of the variable 'y' is negative. So, if we make the co-effecient of 'y' equal in both the cases, add them it would result in the elimination of the variable 'y'.

The co-effecient of y in Equation (2) is 6. To make it 18 like it is in Equation (1), we multiply throughout by 3.

Therefore, Equation (2) becomes:

$15x + 18y = 54 \hspace{5mm} \hdots (b)$

Now, we add Equation (a) and Equation (b).

$\implies 12x - 18y + 15x + 18y = 72 + 54$

$\implies 27x = 126$

Factor: 3

Equation: 27x = 126

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3 years ago

The shelf is made of 3 pieces of wood, each 0.3 meter wide. There is also 0.05 meter of space between the shelf and the wall on

lutik1710 [3]

Since there are 2 sides to the shelf, there is 0.05*2=0.05+0.05=0.1 meters of space between the shelf and wall in total. Next, since each piece of wood is 0.3 meters wide and we have 3 of them, the total width of the wood is 0.3+0.3+<something>
Note that <width of wood>+<space between shelf and well> =width of closet
I challenge you to finish this on your own - good luck, and feel free to ask with any further questions!

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4 years ago

Explain how you can use the distributive property and mental math to find 5 x 198

viktelen [127]

Answer is 990
I hope It is the right answer

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3 years ago

Find the area of the region shaded in green. Use 3.14 to approximate pi.

8090 [49]

Answer:

254 cm² (to 3 s.f.)

Step-by-step explanation:

Area of shaded region

= area of large circle -area of smaller circle

$\boxed{area \: of \: circle = \pi {r}^{2} }$

Radius of large circle= 15cm

Radius of smaller circle= 12cm

Area of shaded region

= π(15²) -π(12²)

= 225π -144π

= 81π

= 81(3.14)

= 254.34

= 254 cm² (3 s.f.)

3 0

3 years ago