Answer:
D. $7/hour
Step-by-step explanation:
128-86=42
42/6=7
Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
The number of ways to match 5 of 6 numbers is 6 ways
The number of ways to match 4 of 6 numbers is 15 ways
The number of ways to match 3 of 6 numbers is 20 ways
To calculate number of ways to match 5 of 6 numbers we have to use to formula:






∴ 6 ways are to match 5 of 6 numbers
To calculate number of ways to match 4 of 6 numbers we have to use to formula:






∴ 15 ways are to match 4 of 6 numbers
To calculate number of ways to match 4 of 6 numbers we have to use to formula:






∴ 20 ways are to match 3 of 6 numbers
Learn more about Jackpots here :
brainly.com/question/27116420
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Answer:
0.40
Step-by-step explanation:
Sin(T) is Opposite over Hypotenuse, which is RS/ST.
ST = sqrt(43) so we can plug that in.
To find RS, use the Pythagorean theorem, so, 6^2+ (RS)^2= 43.
36 + (RS)^2 = 43
RS^2 = 7
RS = sqrt(7)
Thus, Sin(T) = sqrt(7/43) or 0.40