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yulyashka [42]
3 years ago
12

Y=3x+18 -12x+4y=-24 linear system of equations

Mathematics
1 answer:
solong [7]3 years ago
7 0

Answer:

Step-by-step explanation:

Use substitution, y=3x+18 so -12x+4(3x+18)=-24. From here you can try to solve for x

-12x+12x+72=-24

The xs cancel, which leaves you with 72=-24

Since 72 cannot equal -24 there is no answer to this system of equations

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A circle has a radius of 5p6q3 cm. The area of the circle can be found using the formula A = πr2. What is the area of this circl
Tamiku [17]

Answer:

25p^12q^6πcm²

Step-by-step explanation:

Given the area of the circle expressed as;

A = πr^2

Given

r = 5p^6q^3 cm

Substitute into the formula

A = π(5p^6q^3 )²

A = π(25p^12q^6)

A = 25p^12q^6πcm²

hence the area of this circle in square centimeters is 25p^12q^6πcm²

4 0
3 years ago
Suppose that f(x) is the (continuous) probability density function for heights of American men, in inches, and suppose that f(69
anastassius [24]

Answer:

(a) 7.6%

(b) 46.2%    42.4%

Step-by-step explanation:

(a)According to the definition of Continuous probability distribution

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x + h) - F(x - h)}{(x + h) - (x - h)}

f(69) = \frac{F(69 + 0.2) - F(69 - 0.2)}{0.4}

⇒ 0.19 × 0.4 = F(69.2) - F(68.8)

⇒ F(69.2) - F(68.8) = 0.076

⇒ 7.6%

(b) Given F(69) = 0.5

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}

f(69) = \frac{F(69) - F(69 - 0.2)}{0.2}

⇒ 0.19 × 0.2 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.038 = 0.462

⇒ 46.2%

f(x) = \frac{d}{dx}F(x)

f(x) = \frac{F(x) - F(x - h)}{x - (x - h)}

f(69) = \frac{F(69) - F(69 - 0.4)}{0.4}

⇒ 0.19 × 0.4 = F(69) - F(68.8)

⇒ F(68.8) = 0.5 - 0.076 = 0.424

⇒ 42.4%

5 0
3 years ago
6.4x+2.8y=44.4, when x=3
ANEK [815]
6.4x + 2.8y = 44.4 

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4
-19.2             -19.2 

2.8y = 25.2
------    ------
2.8      2.8

y = 9
7 0
3 years ago
Read 2 more answers
Which statements best describe the dot plot or box plot? Check all that apply
Sveta_85 [38]

Answer:

<h2>The box plot is the only display that can be used to show the variability of the data.</h2><h2>The median appears clearly on the box plot at the line within the box: 10.</h2>

Step-by-step explanation:

When we want to represent variability, we use a box plot instead of a dot plot, because the box plot allow us to observe the range of the data set, that is, the minium and the maximum value.

Remember that variability is about the spread of the dataset, and the range is a measure that can give a pretty good idea of it, shown by a box plot.

Therefore, the last hoice is correct.

On the other hand, according to the dot plot, the median is 10, because there are 13 total values, where the central value is 10.

Therefore, the second choice is correct.

3 0
3 years ago
This week luis made 80%of what he made last week. lf he made $72 this week, how much did he make last week
cestrela7 [59]
U just have to find original amount (100%) and that is the amount he made last week.

3 0
3 years ago
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