Answer:
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Answer:
Yes, there is enough evidence to say the proportions are the same.
Step-by-step explanation:
Null hypothesis: The proportions are the same.
Alternate hypothesis: The proportions are not the same.
Data given:
p1 = 51% = 0.51
n1 = 200
p2 = 48% = 0.48
n2 = 150
pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497
Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556
The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645
Conclusion:
Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.
9514 1404 393
Answer:
a: 0; b: 1; c: 1; d: ∞; e: 0; f: ∞
Step-by-step explanation:
Simplify the expressions to put the left and right in the same form. Then compare. If the x-coefficients are the same, there will be 0 or ∞ solutions. If they are different, there will be 1 solution.
If the x-coefficients are the same, look at the constants. If they are different, there will be 0 solutions. If they are the same, there will be ∞ solutions.
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a) -2x -10 = -6x +4x -8 ⇒ -2x -10 = -2x -8 . . . . 0 solutions
b) 0.8x -4.8 = -0.5x +3.4 . . . . 1 solution
c) -1/4x -7/2 = -3x -4 . . . . 1 solution
d) 2x -8 +x = 3x -6 -2 ⇒ 3x -8 = 3x -8 . . . . ∞ solutions
e) 3 -2/5x -12/5 = 2 -2/5x ⇒ -2/5x +3/5 = -2/5x +2 . . . . 0 solutions
f) 6x -6 +21 = 6x +15 ⇒ 6x +15 = 6x +15 . . . . ∞ solutions
Answer: The answer is 1600.
Step-by-step explanation:
For the given triangle, the tan of angle A equals
Step-by-step explanation:
Step 1:
In the given triangle for angle A, the opposite side has a length of 6 cm, the adjacent side has a length of 8 cm while the hypotenuse of the triangle measures 10 cm. To calculate the tan of angle A we divide the opposite side's length by the adjacent side's length.
Step 2:
The opposite side's length = 6 cm.
The adjacent side's length = 8 cm.