Answer:
15
Step-by-step explanation:
Use the distributive property
4x+4=64, then subtract
4x=60, then divide
x=15
Answer:
5/10
Step-by-step explanation:
5/10 as a decimal is 0.5, and 40/100 as a decimal is 0.4 (or 0.50 and 0.40, it doesnt make a difference) which means 5/10 is bigger
The correct interpretation of the probability P(X < 5) is; 0.8
<h3>How to Solve Probability?</h3>
We are given the probability of the spin values are;
Probability of Spin Value of 0 = 0.4
Probability of Spin Value of 1 = 0.2
Probability of Spin Value of 2 = 0.2
Probability of Spin Value of 5 = 0.1
Probability of Spin Value of 10 = 0.1
P(X < 5) simply means the probability of getting a spin value less than 5. Thus;
P(X < 5) = P(0) + P(1) + P(2)
P(X < 5) = 0.4 + 0.2 + 0.2
P(X < 5) = 0.8
Read more about Probability at; brainly.com/question/24756209
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Answer:
<u>(x+3)(x-3)</u> * <u>2 </u>
4 (x-3) (x+3)
= 1/2
Solution :
Given :
The sample mean = 21.3
Standard deviation = 3.2
The null hypothesis is :
The alternate hypothesis :
This is a two tailed test, for which a with an unknown population of a standard deviation is being used.
Now the significance level, , as well as the critical value for a two tailed test is
The rejection region is
The t-statistic is computed as follows :
= 1.285
Since it is observed that , it is then concluded that
The p-value is p=0.231 and since p 0.231 ≥ 0.1, it is concluded that
Conclusion
Thus we concluded that is not rejected. Therefore, the population mean is different than 20, at the 0.1 significance level.