Answer:
about 117 times
Step-by-step explanation:
No. of possible outcomes of a cube: 6
2 out the 6 possible outcomes are less than 3,
and therefore, No. of favorable outcome: 2
P(less than 3)= No. of favorable outcome / No. of possible outcomes
=2/6 => 1/3
if you roll a standard number cube 350 times then,
Prediction= number of rolls x (P(less than 3))
=350 x 1/3
≈117 times.
Answer:
(c) H0 should be rejected
Step-by-step explanation:
Null hypothesis (H0): population mean is equal to 5
Alternate hypothesis (Ha): population mean is greater than 5
Z = (sample mean - population mean) ÷ (sd/√n)
sample mean = 5.3, population mean = 5, sd = 1, n = 500
Z = (5.3 - 5) ÷ (1/√500) = 0.3 ÷ 0.045 = 6.67
Using the normal distribution table, for a one tailed test at 0.01 significance level, the critical value is 2.326
Conclusion:
Since 6.67 is greater than 2.326, reject the null hypothesis (H0)
Answer:
Step-by-step explanation:
Use point (1, 3.5) on the graph
x = 1, y = 3.5
k = 3.5
true because integers are all positive numbers, their opposites (negatives), and zero
Answer:
3+sqrt(13/2)
3-sqrt(13/2)
Step-by-step explanation:
2 (x-3) ^2 =13
Divide each side by 2
2/2 (x-3) ^2 =13/2
(x-3) ^2 =13/2
Take the square root of each side
sqrt((x-3) ^2) =±sqrt(13/2)
x-3 = ±sqrt(13/2)
Add 3 to each side
x-3+3 = 3±sqrt(13/2)
x = 3±sqrt(13/2)
