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DIA [1.3K]
3 years ago
12

Is (3,8) a solution of the system?

Mathematics
2 answers:
Crank3 years ago
7 0

Answer:

False

Step-by-step explanation:

Substitute the point into each equation and see if it gives a true statement

y = -5x+1

8 = -5(3) +1

8 = -15+1

8 = -14

False so this is not a solution

We do not need to check the second equation since the first is false

zubka84 [21]3 years ago
3 0

Answer:

no

Step-by-step explanation:

8= -5(3)+1 is not a true statement because it equals -14 not 8

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The Environmental Protection Agency (EPA) publishes fuel economy values that are known to be good estimates of the fuel economy
r-ruslan [8.4K]

Answer:

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 16 - 1 = 15

90% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 15 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.9}{2} = 0.95. So we have T = 1.7531

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 1.7531\frac{0.78}{\sqrt{16}} = 0.34

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 23.29 - 0.34 = 22.95 mpg

The upper end of the interval is the sample mean added to M. So it is 23.29 + 0.34 = 23.63 mpg

The 90% confidence interval for the mean combined fuel economy for Ford Explorers is between 22.95 and 23.63 mpg.

7 0
2 years ago
What is the value of x?<br><br> This is the last question I don’t get
Stels [109]

Answer:

The answer is 166

Step-by-step explanation:

x+90+24

4 0
3 years ago
Read 2 more answers
What is the slope of the line passing through the points (-3,<br> -5) and (-1, - 6)?
Ira Lisetskai [31]

Answer:

-1/2

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -6 - -5)/( -1 - -3)

   = ( -6+5)/( -1+3)

   =-1/ 2

3 0
3 years ago
Read 2 more answers
Kyla makes a triangular school pennant. The area of the triangle is 180 square inches. The base of the pennant is z inches long.
kykrilka [37]
We can represent the base as z and the height as 2z+6. We are going to use the formula A=1/2*b*h and solve for z
180=1/2*z*(2z+6)
360=2z^2+6z 
0=2z^2+6z-360
0=2(z^2+3z-180)
0=(z+15)(z-12)
So z=-15 and 12 but it must be positive so then the base is equal to 12

When we plug this into 2z+6 we get 30 for the height
2(12)+6=30

Hope this helps
4 0
3 years ago
What is the sum of 1/6 and 5/12​
torisob [31]

Answer:

7/12

1/6 to 2/12 add 5/12 to get 7/12

3 0
2 years ago
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