Answer:
Our score = 0.60, Amanda's score = 0.25
Step-by-step explanation:
For Amanda
μ = 15 , σ = 4
z- score for X = 16 is (From z table)
z = (X - μ)/σ = (16 - 15)/4 = 0.25
For us
μ = 310 , σ = 25
z score for X = 325 (From z table)
z = (325-310)/25 = 0.60
Since our z score is better than Amanda's z score, we can say we did better
Given that E is a point between Point D and F, the numerical value of segment DE is 46.
<h3>What is the numerical value of DE?</h3>
Given the data in the question;
- E is a point between point D and F.
- Segment DF = 78
- Segment DE = 5x - 9
- Segment EF = 2x + 10
- Numerical value of DE = ?
Since E is a point between point D and F.
Segment DF = Segment DE + Segment EF
78 = 5x - 9 + 2x + 10
78 = 7x + 1
7x = 78 - 1
7x = 77
x = 77/7
x = 11
Hence,
Segment DE = 5x - 9
Segment DE = 5(11) - 9
Segment DE = 55 - 9
Segment DE = 46
Given that E is a point between Point D and F, the numerical value of segment DE is 46.
Learn more about equations here: brainly.com/question/14686792
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Vertical angles are equal, so
.. 3x +8 = 5x -20
.. 28 = 2x . . . . . . . . add 20-3x
.. 14 = x . . . . . . . . . . divide by 2
Each of the vertical angles is 3*14 +8 = 50°, so the supplementary one is 130°.
.. 5*14 +4y = 130
.. 4y = 60 . . . . . . . . subtract 70
.. y = 15 . . . . . . . . . . divide by 4
The values of interest are
.. x = 14
.. y = 15
h(x) = -4
Step-by-step explanation:
Simple. Plugging this into the equation will give us:
h(x) = -14 -(-40)/4 = -14+10
h(x)= -4
Answer:
blue line : y = 3
black horizontal line : y = 0
black vertical line : x = 0
Step-by-step explanation:
it is really simple.
blue line : no matter what value we pick for x, the functional value for y is always 3. and that defines the equation y = 3 + 0*x or simply y = 3.
the same with the black horizontal line. the difference is that y is now always 0. so, y = 0.
