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erica [24]
2 years ago
6

How many solutions does this linear system of equations have? x – 3y = 5 -3x + 9y = -7

Mathematics
1 answer:
Angelina_Jolie [31]2 years ago
6 0

9514 1404 393

Answer:

  zero

Step-by-step explanation:

Dividing the second equation by -3, it becomes ...

  x -3y = 7/3

Compared to the first equation, ...

  x -3y = 5

we see that it is <em>inconsistent</em>. No values of the variables can satisfy both equations. There are no solutions.

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Which of these is an example of a discrete random variable?
34kurt

Answer:

c

Step-by-step explanation:

7 0
3 years ago
In an article regarding interracial dating and marriage recently appeared in a newspaper. Of 1719 randomly selected adults, 311
Bingel [31]

Answer:

Step-by-step explanation:

Hello!

The parameter of interest in this exercise is the population proportion of Asians that would welcome a person of other races in their family. Using the race of the welcomed one as categorizer we can define 3 variables:

X₁: Number of Asians that would welcome a white person into their families.

X₂: Number of Asians that would welcome a Latino person into their families.

X₃: Number of Asians that would welcome a black person into their families.

Now since we are working with the population that identifies as "Asians" the sample size will be: n= 251

Since the sample size is large enough (n≥30) you can apply the Central Limit Theorem and approximate the variable distribution to normal.

Z_{1-\alpha /2}= Z_{0.975}= 1.965

1. 95% CI for Asians that would welcome a white person.

If 79% would welcome a white person, then the expected value is:

E(X)= n*p= 251*0.79= 198.29

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.79*0.21=41.6409

√V(X)= 6.45

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

198.29±1.965*6.45

[185.62;210.96]

With a 95% confidence level, you'd expect that the interval [185.62; 210.96] contains the number of Asian people that would welcome a White person in their family.

2. 95% CI for Asians that would welcome a Latino person.

If 71% would welcome a Latino person, then the expected value is:

E(X)= n*p= 251*0.71= 178.21

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.71*0.29= 51.6809

√V(X)= 7.19

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

178.21±1.965*7.19

[164.08; 192.34]

With a 95% confidence level, you'd expect that the interval [164.08; 192.34] contains the number of Asian people that would welcome a Latino person in their family.

3. 95% CI for Asians that would welcome a Black person.

If 66% would welcome a Black person, then the expected value is:

E(X)= n*p= 251*0.66= 165.66

And the Standard deviation is:

V(X)= n*p*(1-p)= 251*0.66*0.34= 56.3244

√V(X)= 7.50

You can construct the interval as:

E(X)±Z₁₋α/₂*√V(X)

165.66±1.965*7.50

[150.92; 180.40]

With a 95% confidence level, you'd expect that the interval [150.92; 180.40] contains the number of Asian people that would welcome a Black person in their family.

I hope it helps!

5 0
3 years ago
PLEASE HELP!!!!!!!!!!!!
liq [111]

9514 1404 393

Answer:

  a  Plane FGI

Step-by-step explanation:

A plane is named either by its designator (Q) or by three non-collinear points in the plane. Here, the point I must be used, as the other designated points in the plane are all on the same line. The appropriate choice is ...

  Plane FGI

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2 years ago
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Answer:

Step-by-step explanation:

Looking at the information given, the average or mean lowest prices and standard deviations for the two cities are given. The standard deviation is a measure of variability. It is used to determine how far the values in the data are from the mean. A lower standard deviation means that the values are closer to the mean. A higher standard deviation means that the values are farther from the mean.

Since 0.07 is lower than 0.23, the correct statement that is true about their gas-price data is

Raquel's data are most likely closer to $3.42 than Van's data are to $3.78.

3 0
3 years ago
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Find the distance between points P(4,6) and Q(8,9) to the nearest tenth
Minchanka [31]

take square root and subtract y2 from y1 and x2 from x1

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3 years ago
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