1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
galina1969 [7]
3 years ago
12

How many solutions does the system x-3y = -8 x + 3y =8

Mathematics
1 answer:
MrRissso [65]3 years ago
3 0
X - 3y = -8
x + 3y = 8
---------------    Add the equations
2x =  =
x = 0

Plug zero back in to either equation and solve for y.
x - 3y = -8
0 - 3y = -8
-3y = -8
divide both sides by -3
y = 8/3

(0, 8/3)
ONE SOLUTION
You might be interested in
What is the range of the function y = x2? ​
den301095 [7]

The range of the function y = x2 is all real numbers, y, such that y ≥ 0.

3 0
2 years ago
What is the slope of the line through (-5,-2) and (-1,-10)?
Varvara68 [4.7K]

Answer:

m=-2

Step-by-step explanation:

plug in the points in the formula y2-y1/x2-x1

I suggest getting m a t h w a y its a website and app thats useful.. and good.. and I like it

8 0
3 years ago
Read 2 more answers
Jack uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the exp
Mandarinka [93]

The experimental probability is the number of specific outcomes divided by the sample size...


P(6)=27/100  (27%)


P(H)=41/100  (41%)


Not sure, but if you meant rolling a 6 AND getting a head then:


P(6 AND H)=(27/100)(41/100)=1107/10000  (11.07%)




5 0
3 years ago
Read 2 more answers
A genetic experiment involving peas yielded one sample of offspring consisting of 420 green peas and 174 yellow peas. Use a 0.01
slavikrds [6]

Answer:

a) z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649  

b) For this case we need to find a critical value that accumulates \alpha/2 of the area on each tail, we know that \alpha=0.01, so then \alpha/2 =0.005, using the normal standard table or excel we see that:

z_{crit}= \pm 2.58

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

Step-by-step explanation:

Data given and notation

n=420+174=594 represent the random sample taken

X=174 represent the number of yellow peas

\hat p=\frac{174}{594}=0.293 estimated proportion of yellow peas

p_o=0.23 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of yellow peas is 0.23:  

Null hypothesis:p=0.23  

Alternative hypothesis:p \neq 0.23  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

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

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>3.649)=0.00026  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis.

b) Critical value

For this case we need to find a critical value that accumulates \alpha/2 of the area on each tail, we know that \alpha=0.01, so then \alpha/2 =0.005, using the normal standard table or excel we see that:

z_{crit}= \pm 2.58

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

5 0
3 years ago
If slope intercept form is written as y=mx+b, the b represents the y intercept.
Tresset [83]

the statement is false

7 0
3 years ago
Other questions:
  • How to do 30(c) ??????
    13·1 answer
  • The Cost of producing n items is given as C = 5 + 2n, where 5 is initial cost and 2 is a cost per item. Profit is given as P = 3
    10·1 answer
  • 0.00000000828860 in scientific notation
    11·1 answer
  • Simplify Negative 15.6 divided by negative 4.
    5·2 answers
  • Mrs. Smith bought breakfast tacos for her family and they cost $9.48 for a dozen tacos how much was the cost of each taco
    11·1 answer
  • Ryan bought a digital camera with a list price of $150 from an online store offering a 5% discount. He needs to pay $5.50 for sh
    6·2 answers
  • What is an equation of the vertical line that passes through (-2, -9)
    14·2 answers
  • Please help due in 5 minutes !
    5·2 answers
  • PLEASE HELP THANKS YOU
    5·2 answers
  • Meredith is 3 times as old as Adam. Six years from now, she will be twice as old as Adam will be then. How old is Adam now
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!