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MA_775_DIABLO [31]
2 years ago
14

Solve the system by substitution. Check your solution. A minus 1.2 b = negative 3. 0.2 b + 0.6 a = 12 a. (15, 15) c. (13, 12) b.

(10, 12) d. (7, 9)
Mathematics
2 answers:
wlad13 [49]2 years ago
7 0

Answer:

The answer is A. (15,15)

Step-by-step explanation:

edge21

Mrrafil [7]2 years ago
6 0

Answer:

The answer to the question is -1.32

Step-by-step explanation:

The first step will be to write out the equation that we are working with:

This equation is

0.2b + 0.6a = 12

The next step is to write out the values of the figures that we are substituting:

a = -1.2 b=-3

Substitution in mathematics can best be understood as "something being used in place of another thing". This means that wherever the first variable appears in an equation, the substituting values will replace it and multiply the number it is attached to.

In this case, we will replace the 'b' and the 'a' with the - 1.2 and - 3 respectively.

0.2(-3) + 0.6(-1.2) = -1.32

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Evelyn has dance class every Saturday. It lasts 1 hour and 40 minutes and is over at 12:45 P.M.
leva [86]

Answer:

Evelyn's dance class on Saturday starts at 11:05 A.M.

Step-by-step explanation:

I know this because if her class takes an hour and 40 minutes you would subtract the hour and 40 minutes from 12:45 so you could do 12 - 1 which equals 11. Then you would do 45 - 40 which equals 5. And last you would put the new times together so it would be, 11:05. Her dance class starts at 11:05 A.M.

7 0
3 years ago
In parallelogram DEFG, DH = x + 5, HF = 2y, GH = 4x-3 and HE = 4y + 1. Find the values of x and y. The diagram is not drawn to s
GalinKa [24]
Rule: The diagonals of any parallelogram bisect each other. In other words, they cut each other in half.

This means DF is cut into two equal pieces: DH and HF.
Similarly, GE is cut into two equal pieces: GH and HE.

DH = HF
x+5 = 2y
x = 2y-5

GH = HE
4x-3 = 4y+1
4(x)-3 = 4y+1
4(2y-5)-3 = 4y+1 ... x has been replaced with 2y-5
8y-20-3 = 4y+1
8y-23 = 4y+1
8y-4y = 1+23
4y = 24
y = 6

If y = 6, then x is
x = 2y-5
x = 2(6)-5
x = 12-5
x = 7

--------------------------------------------

Answers: 
x = 7 and y = 6

5 0
3 years ago
Determine whether the value is a discrete random​ variable, continuous random​ variable, or not a random variable.
Viktor [21]
Discrete random variable as we count the number of free dash throw attempts and we dont measure them (continuous)
7 0
3 years ago
the base of a triangle prism has an area of 35m. this triangular prism has a height of 7m. what us the volume of this triangular
Trava [24]

Answer:

ion even know

5 0
3 years ago
Based on historical data, your manager believes that 40% of the company's orders come from first-time customers. A random sample
Vedmedyk [2.9K]

Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)

And we can solve the problem using the z score on this case given by:

z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

7 0
3 years ago
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