Hi!
To compare this two sets of data, you need to use a t-student test:
You have the following data:
-Monday n1=16; <span>x̄1=59,4 mph; s1=3,7 mph
-Wednesday n2=20; </span>x̄2=56,3 mph; s2=4,4 mph
You need to calculate the statistical t, and compare it with the value from tables. If the value you obtained is bigger than the tabulated one, there is a statistically significant difference between the two samples.

To calculate the degrees of freedom you need to use the following equation:

≈34
The tabulated value at 0,05 level (using two-tails, as the distribution is normal) is 2,03. https://www.danielsoper.com/statcalc/calculator.aspx?id=10
So, as the calculated value is higher than the critical tabulated one,
we can conclude that the average speed for all vehicles was higher on Monday than on Wednesday.
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Answer:
<u>infinitely many solutions</u>
Step-by-step explanation:
The system of equations :
- 3x + 2y = 7
- -4.5x - 3y = -10.5
Multiplying Equation 1 times 3 and Equation 2 times 2 :
- 9x + 6y = 21
- -9x - 6y = -21
Putting the equations in standard form after simplifying :
- 6y = -9x + 21 ⇒ <u>y = -1.5x + 3.5</u>
- -6y = 9x - 21 ⇒ <u>y = -1.5x + 3.5</u>
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As both equations are the same, the system will have <u>infinitely many solutions</u>.
38 meters long is the answer
Answer: See the picture attached.
Step-by-step explanation:
Given the following mixed numbers:

You need to convert them to decimal numbers. The steps to do this are shown below:
1. Divide the numerator of the fraction by the denominator.
2. Add the quotient obtained to the whole number part.
Then:

Therefore, the point is:

Where
is the x-coordinate and
is the y-coordinate.
Knowing this, you can plot it on the coordinate plane, as you can see in the picture attached.