Simplify the expression. Write the answer in scientific notation
1 answer:
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Answer:
The data provide sufficient evidence that older people are more likely to be victimized.
Step-by-step explanation:
H 0 : P = 0.10
H 1 : P > 0.10 (Right tailed test)
n = 527, P = 0.1235
The test statistics
x = P - p /
x = 0.1235 - 0.10 /
x = 0.0235 /
x = 0.0235 /
x = 0.0235 / 0.0130682049264618
x = 1.798257689731729
x = 1.798
P value = [1 - p(Z > 1.7980] (Right tailed test)
P value = 0.036089
The P - Value is very small, so <u>reject H0</u>
Conclusion: The data provide sufficient evidence that older people are more likely to be victimized.
Answer:
x = 4 , y = 2
Step-by-step explanation:
Using the sine / tangent ratios in the right triangle and the exact values
sin60° = and tan60° =
, then
sin60° = =
=
( cross- multiply )
x = 4
( divide both sides by
)
x = 4
and
tan60° = =
=
( multiply both sides by y )
y = 2
( divide both sides by
)
y = 2
Answer:
x = 4 ±
Step-by-step explanation:
Given
x² - 8x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take the square root of both sides )
x - 4 = ± ( add 4 to both sides )
x = 4 ±