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densk [106]
3 years ago
8

Part 1: If we double each side of the second equation, 2x+y=8 we have 4x+2y=16. Explain why the same pair that is the solution t

o the system is also a solution to this new equation. If needed, you can support your explanation with hanger diagrams, or by inventing a situation that the equations represent.
Part 2: If we add the two equations in the original system, we have 6x+7y=32. Explain why the same (x, y) pair is also a solution to this equation
PLEASE ANSWER FAST
Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

Step-by-step explanation:

its the same because when you simplify it the equation is the same

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Find a solution to the following system of equations -3x+3y=-9 -3x+y=7
blondinia [14]
(-3x+3y=-9)-(-3x+y=7)

-3x+3x+3y-y=-9-7

2y=-16

y=-8, making -3x+3y=-9 become:

-3x+3(-8)=-9

-3x-24=-9

-3x=15

x=-5

So the solution to this system of equations is the point (-5, -8)
3 0
3 years ago
The ratio table below shows the relationship between the number of bricks in a wall and the length of the wall.
Elza [17]

Answer:

When number of bricks is multiplied by 2, the length is multiplied by

B) 2

Step-by-step explanation:

Number of bricks is two times the length of the wall

i.e. Number of bricks= 2×Length of the wall

When the number of bricks is multiplied by 2, the length is also multiplied by 2

since, when number of bricks=6 then, length of wall=3

and when number of bricks=2×6=12 then, length of wall=2×3=6

Hence, when number of bricks is multiplied by 2, the length is multiplied by

B) 2

6 0
4 years ago
Read 2 more answers
Find the equation of line
Elza [17]

Answer:

y= -1/3x+5

Step-by-step explanation:

-1/3 is the slope (rise/run)

5 is the y-intercept

3 0
3 years ago
VXYZ is a kite. What is the length of XY?
olga nikolaevna [1]

Answer:

5x - 6 = 3x + 4 \\ 5x - 3x = 4 + 6 \\ 2x = 10 \\ x = 10  \div2 \\ x = 5 \\ length \: of \: xy = 3 \times 5 + 4 \\  = 15 + 4 \\  = 19

8 0
3 years ago
Read 2 more answers
Give the numerical value of the parameter p in the following binomial distribution scenarioA softball pitcher has a 0.721 probab
Igoryamba

Answer:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)

P(X=16)=(19C16)(0.721)^{16} (1-0.721)^{19-16}=0.112  

P(X=17)=(19C17)(0.721)^{17} (1-0.721)^{19-17}=0.051  

P(X=18)=(19C18)(0.721)^{18} (1-0.721)^{19-18}=0.015  

P(X=19)=(19C19)(0.721)^{19} (1-0.721)^{19-19}=0.002  

And replacing we got:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:  

P(X)=(nCx)(p)^x (1-p)^{n-x}  

Where (nCx) means combinatory and it's given by this formula:  

nCx=\frac{n!}{(n-x)! x!}  

Solution to the problem

For this case our random variable is given by:

X \sim Binom(n = 19, p = 0.721)

For this case we want this probability:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19)

P(X=16)=(19C16)(0.721)^{16} (1-0.721)^{19-16}=0.112  

P(X=17)=(19C17)(0.721)^{17} (1-0.721)^{19-17}=0.051  

P(X=18)=(19C18)(0.721)^{18} (1-0.721)^{19-18}=0.015  

P(X=19)=(19C19)(0.721)^{19} (1-0.721)^{19-19}=0.002  

And replacing we got:

P(X>15)= P(X=16)+P(X=17)+P(X=18)+P(X=19) =0.112+0.051+0.015+0.002= 0.1801

P(X> 2)=1-P(X\leq 2)=1-[0.0211+0.0995+0.211]=0.668

3 0
3 years ago
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