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Step2247 [10]
2 years ago
11

Help show work please.

Mathematics
1 answer:
vichka [17]2 years ago
5 0

Answer:

X = 7/3y - 10/3

Step-by-step explanation:

Add - 7y to both sides = -3x + 7y = 10 - 7y

= -3x = 10 - 7y

Divide both sides by -3

-3x/-3 = 10/-3 - 7y/-3

x = 7/3y - 10/3

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How many solutions do these equations have y= 3x+4 y+6=3x
Nataly [62]

Answer:

Step-by-step explanation:

hello :

the system is :  y= 3x+4....(*)

                         y+6=3x....(**)

by (**) : y = 3x - 6

so : y= 3x+4

      y= 3x - 6

means :  3x+4 = 3x - 6

                     4= -6.......(false)

conclusion : no reals  solutions

5 0
2 years ago
There are 3 red and 8 green balls in a bag. If you randomly choose balls one at a time, with replacement, what is the probabilit
Kaylis [27]

So, the total number of balls is 11. We want to pick 2 red balls and 1 green ball. WLOG (since order doesnt matter here), we can say he picks red, green, red. That means on his first pick, he has a \frac{3}{11} chance of picking the red ball, and he places it back in the bag. The probability of picking a green ball is \frac{8}{11}, and then he places the ball back in the bag. The probability of picking the last red ball is the same as the last red ball example, and we simply multiply the probabilities together as per the multiplication rule to get:

\frac{3}{11}\frac{3}{11}\frac{8}{11}=\frac{3*3*8}{11^3}=\frac{72}{1331}

Now, without replacement the order does matter. He picks a red ball, a red ball then a green ball. The probability of picking the first red ball is\frac{2}{11}, and the probability of picking the second red ball is \frac{1}{10} and the probability of picking the green ball is\frac{1}{9}. We want to multiply thm again, as per the multiplication rule like the last problem.

\frac{2}{11}*\frac{1}{10}*\frac{1}{9}=\frac{1}{11*5*9}=\frac{1}{495}

5 0
3 years ago
The owner of a small pet supply store wants to open a second store in another city, but he only wants to do so if more than one-
Andrei [34K]

Answer:

The answer is "The null hypothesis was rejected".

Step-by-step explanation:

Following are the right-tailed test:

Calculating the null and alternative hypothesis:

H_0 : p = 0.3333\\\\H_a : p > 0.3333\\\\n = 150\\\\x = 64\\\\\hat{p} = \frac{x}{n} = \frac{64}{150} = 0.4267\\\\P_0 = 0.3333\\\\1 - P_0 = 1 - 0.3333 = 0.6667\\\\

z = \frac{\hat{p} - P_0}{[\sqrt{\frac{P_0 \times (1 - P_0 )}{n}}]}

   = \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426

Calculating the right-tailed test:

P(z > 2.426) = 1 - P(z < 2.426) = 1 - 0.9924 = 0.0076\\\\P-value = 0.0076\\\\\alpha = 0.05\\\\P-value < \alpha

Therefore, we reject the null hypothesis.

This example shows that more than a third of the families own pets in this town.

5 0
2 years ago
542 increased by 1/4 of itself is?
Bas_tet [7]
542(1+1/4)

542(4/4+1/4)

542(5/4)

677.5


5 0
3 years ago
Read 2 more answers
What is the vertex of the graph of the function below?<br> y = x2 + 6x + 5
Aleksandr-060686 [28]

Answer:

(-3,-4)

If you have a chart with the coordinates in it, it will be in the middle of alike coordinates.

7 0
3 years ago
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