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daser333 [38]
3 years ago
6

Solve the in quality 2m + 7 < -1 and graph the solutions

Mathematics
1 answer:
Otrada [13]3 years ago
4 0
<span>2m + 7 < -1
---------------------
Subtract 7 from each side
</span><span><span>2m + 7 </span>− 7 </span>< -<span>1 −7
</span><span>2m </span>< -<span><span>8
</span></span>--------------------------------------
Divide each side by 2
2m/2 < -8/2
m < -4
----------------------------------------
m < -4 is your answer

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In the following image, AB is parallel to DC, and BC is a transversal intersecting both parallel lines. The measure of angle ABC
AlexFokin [52]

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

so

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v°  = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

8 0
4 years ago
Jennifer scores a 77 on her algebra 2 test. The mean on the test was 73. The standard deviation on the test was 5. What was her
MA_775_DIABLO [31]

Answer:

  0.80

Step-by-step explanation:

The z-score is found from the formula ...

  Z = (X -μ)/σ

  Z = (77 -73)/5 = 4/5 = 0.80

Jennifer's Z-score was 0.80.

7 0
4 years ago
What is the margin of error for a sample statistic for a population with a standard deviation of 7.75?
3241004551 [841]

Answer:

Margin of Error  = 1.96 \times 7.75 = 15.19

Step-by-step explanation:

i) Margin of Error of a population with a standard deviation of 7.75?

ii) Let us assume a two tailed test with a 95% confidence interval

iii) Z_{\frac{\alpha }{2} }  = Z_{\frac{\ 0.05 }{2} } = Z_{0.025} = 1.96

iv) therefore Margin of Error  = 1.96 \times 7.75 = 15.19

6 0
3 years ago
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