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VARVARA [1.3K]
4 years ago
8

| When solving a system of equations, Jared found y = x +

Mathematics
2 answers:
pashok25 [27]4 years ago
8 0

Answer:

Both Jared and Nicole are correct. You can solve for either variable and use the equivalent expression to create a one-variable equation. Then you can solve. Jared would have created a one-variable equation that can be used to solve for x, whereas Nicole would have created a one-variable equation that can be used to solve for y.

borishaifa [10]4 years ago
4 0

Answer:

They are both correct in their procedure. Nicole solved for one variable in the equation, while Jared solved for the other variable.

Step-by-step explanation:

Notice that if you have the equation  y = x + 10 in a system of equations, the most immediate thing to do is to try to use the fact that "y" is the same as "x + 10" to substitute in the other equation of the system.

But, this same equation can also be used to solve for the other variable "y", by simply subtracting 10 from both sides, which gives:

y - 10 = x

So now, one can use "y-10" to substitute for x in the other equation.

Both procedures are correct, and simply will lead to finding a different variable first when solving the equation.

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Which value of x makes the equation 6(0.5x-1.5)+2x=-9-(x+6)
Otrada [13]

Answer:

x=2

Step-by-step explanation:

on the LHS multiply the 6 by the values in the brackets and add by 2x= 9-(x+6) RHS

for the RHS multiply the - by (x+6) which will be 9-x-6

therefore you'll put in your like terms towards the end it'll be 6x-12=0 then take it to the other side and divide by 6 which will give you 2

7 0
3 years ago
Please answer this it would be very helpful if you did.
Dmitriy789 [7]

Answer:

See below ↓↓↓

Step-by-step explanation:

<u>Probability of getting heads</u>

  • Outcome (head) = 1
  • Total outcomes = 2
  • P (head) = <u>1/2</u>

<u></u>

<u>Probability of getting an odd number</u>

  • Outcome (odd) = {1, 3, 5} = 3
  • Total outcomes = 6
  • P (odd) = 3/6 = <u>1/2</u>

<u></u>

The outcomes are equally likely because the probabiity of each outcome is the same.

5 0
2 years ago
(20x + 18) = 4x - 9. Helppp
Artyom0805 [142]

Answer:

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7 0
3 years ago
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Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and
inn [45]

Complete Question

Polymer composite materials have gained popularity because they have high strength to weight ratios and are relatively easy and inexpensive to manufacture. However, their nondegradable nature has prompted development of environmentally friendly composites using natural materials. An article reported that for a sample of 10 specimens with 2% fiber content, the sample mean tensile strength (MPa) was 51.1 and the sample standard deviation was 1.2. Suppose the true average strength for 0% fibers (pure cellulose) is known to be 48 MPa. Does the data provide compelling evidence for concluding that true average strength for the WSF/cellulose composite exceeds this value? (Use α = 0.05.)  

t=8.169  

P-value= ?

Answer:

a)  P-value=0

b)  Hence,We FAil to reject the alternative hypothesis and accept that the true average strength for the WSF/  cellulose composite exceeds 48 MPa.

Step-by-step explanation:

From the question we are told that:

Sample size n=10

Mean \=x= 51.3

Standard deviation \sigma=1.2

Significance level is taken as \alpha=0.05

t test statistics

t=8.169

Therefore

P-Value=P(t>8.169)

Critical point

t_{\alpha,df}

\alpha=0.05

df=10-1=>9

Therefore

P-value from T distribution table

P-value=0

Conclusion

P-value (0)< \alpha(0.05)

We Reject the Null Hypothesis H_0

Hence,We FAil to reject the alternative hypothesis and accept that the true average strength for the WSF/  cellulose composite exceeds 48 MPa.

7 0
3 years ago
146536722753+63723623416
ch4aika [34]

Answer:

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