Answer:
b) Prob (at least 1 red): 2/3
Prob (R,R) = 1/9
Prob (B,B) = 4/9
Step-by-step explanation:
P(at least one red): 1/3 + 1/3 = 2/3
Prob(R,R): 1/3 · 1/3 = 1/9
Prob(B,B): 2/3 · 2/3 = 4/9
Answer:
Step-by-step explanation:
Given that :
population mean μ = 120
sample size n = 37
sample mean x = 111
standard deviation = 21
The null hypothesis and the alternative hypothesis can be computed as:
The null hypothesis:
The alternative hypothesis:
Since this test is two-tailed, the value for the test statistics can be computed as:
z = -2.605
z = -2.61
Since this is a two-tailed test
P-value = 2(z < -2.61)
From the z table;
P-value = 2(0.0045)
P -value = 0.009
Decision rule: To reject the null hypothesis if the p-value is lesser than the level of significance
Conclusion: We reject the null hypothesis since the p-value is lesser than the level of significance. Thus, there is sufficient evidence to conclude that the average breaking distance differs from 120 feet.
Answer:
• Random sampling [ Probability and statistics method ]
Step-by-step explanation:
• This method is easier and saves time.
By probability, a person whose height is to be recorded will be chosen randomly. This will be done on approximately 40% members.
By statistical step, we'll feed results into distribution table. Then we'll find the mean height.
• f of n is product of frequency and respective height bracket
• n is the number of samples.
Answer:x=0,5
Step-by-step explanation:
6x -1/2=1
6x-1=1.2
6x-1=2
6x=2+1
6x=3
x=3/6
x=0,5
<span>TLDR: Equation is 5(10 + x) = 6x. x = 50, so Sheila deposited $50 each 6 trips. Sherri deposited $60 each 5 trips. Both of them deposited $300 in total.
</span>Sherri deposited $10 more into her bank account than Sheila each 5 times. Expression: 5(x + 10).
Sheila deposited money 6 times
Expression: (6)(x) or 6x
Put it all together and the equation is 5(x+10)=6x.
Solve by distributing the 5 on the right side of the equation 5(x+10) to get 5x + 50 = 6x. Subtract 5x on both sides of equation. 5x - 5x + 50 = 6x - 5x to get 50 = 1x. Divide by 1 on each side to isolate the variable. x = 50. Sheila paid $50 in each of her 6 deposits, so she deposited $300 in total. Check the equation by replacing x with 50.
Sherri paid $60 in each of her 5 deposits because 50 + 10 is 60. 60 by 5 is also $300.