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Tasya [4]
3 years ago
10

You don’t have to do all of them only some if you want this these are my last question!

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

Answer:

Q11. 20x=120° (vert opp angles)

x=120÷20

=10

Q12. x+68°=60° (vert opp angles)

x=60-68

=-8

Q13. 80°+x+106°=180° (int angles, u//v)

x+186°=180°

x=180-186

=-6

Q14. 6x+8°=50°

6x=50°-8°

=42°

x=42÷6

=7

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Which unit rate corresponds to the proportional relationship shown in the graph?
Y_Kistochka [10]
To move from the point (0,0) to the point (6,9) we move up 9 units and right 6 units.

Slope = rise/run
Slope = change in y / change in x
Slope = 9 / 6
Slope = 3/2
6 0
3 years ago
Scores from an exam are normally distributed with a mean of 85 and a standard deviation of 5. Suppose 188 students take the exam
charle [14.2K]

The mean is \mu=85 and standard deviation is \sigma=5. Then the variable X\sim N(85,5).

Use substitution Z=\dfrac{X-\mu}{\sigma}=\dfrac{X-85}{5}, then the variable Z\sim N(0,1).

The probability Pr(X>80) can be calculated in the following way:

for X=80, Z=\dfrac{80-85}{5} =-1 and Pr(X>80)=Pr(Z>-1). From the diagram Pr(Z>-1)=0.34+0.34+0.135+0.025=0.84.

Conclusion: if 188 students take the exam, then 188·0.84=157.92 (157) would receive a score above 80

4 0
4 years ago
Read 2 more answers
Factor completely 2x5 + 10x4 - 22x3.
PIT_PIT [208]

Answer:  2x³(x² + 5x - 11)

<u>Step-by-step explanation:</u>

2x⁵ + 10x⁴ - 22x³

Factor out the GCF (2x³)

2x³(x² + 5x - 11)

Since there are no values whose product is -11 and sum is +5, this cannot be factored further.

4 0
4 years ago
Does (-24,-12) and (-15,-9) line pass through point (18,2)?
Dmitrij [34]

Find the slope using the formula [ y2-y1/x2-x1 ].

-9-(-12)/-15-(-24)

3/9

1/3

Find the y-intercept using the formula [ y = mx + b ].

y = 1/3x + b

-12 = 1/3(-24) + b

-12 = -8 + b

-4 = b

Use (18, 2) to see if the line passes through it

y = 1/3x - 4

2 = 1/3(18) - 4

2 = 6 - 4

2 = 2 TRUE

Thus, the line does pass through (18, 2).

Best of Luck!

4 0
3 years ago
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8-6x=-28 I need help plzzz
Schach [20]
The answer is 6. 8-6(6) = -28.
3 0
3 years ago
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