x = 2
solve 4x + 6 = 2x + 10
subtract 2x from both sides
2x + 6 = 10
subtract 6 from both sides
2x = 10 - 6 = 4
divide both sides by 2
x = = 2
as a check f(2) =(4 × 2 )+ 6 = 14 and g(2) =( 2× 2) + 10 = 14
If CDEF ≅ MNPQ, then EF≅ _____
1 answer:
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Answer:
Step-by-step explanation:
Area of parallelogram = Length × Height
Therefore, area of parallelogram:
Simplify:
Answer:
Step-by-step explanation:
From the given information:
The null hypothesis: all three brands are equally likely to their expected value
The alternative hypothesis: preferences exist among the three brands i.e. at least one is different from the expected value.
The expected frequency =
The observed frequency =
37 30 49.00 1.633
21 30 81.00 2.700
32 30 4.00 0.133
Degree of freedom =
= 3 -1
= 2
At ∝ = 0.05 and df = 2
The critical value
Decision rule:
Since the calculated chi-square is less than the critical value, we do not reject the null hypothesis.
Thus, the null is retained with a calculated chi-square value of 4.47 and a critical chi-square value of 5.99.