<span>100% of $X plus 100% of $Y equals $1000
4% of $X plus 6% of $Y equals $58
To solve that clear the second equation of decimals by
multiplying through by 100:
Solve that by either substitution or by elimination:
X = $100 at 4% and $900 at 6%</span>
Answer: -2.10
Step-by-step explanation:
Given : 
Sample size : n= 50, since the sample size is greater than 30 , so we apply z-test.
Sample mean : 
Standard deviation : 
The test statistic for population mean :-
i.e. 
Hence, the value of the test statistic = -2.10
Answer:
(a) 1024 ways
(b) 243 ways
Step-by-step explanation:
When answers are independent, the total number of ways all questions can be answered is the product of the number of ways each question can be answered.
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<h3>(a)</h3>
The first question can have one answer 4 ways. The second question can be answered 4 ways for each of the ways the first question was answered. That is, the two questions can be answered 4×4 = 16 ways. Similarly, each additional question multiplies the number of ways the questions can be answered by 4.
The 5 questions can be answered 4×4×4×4×4 = 4^5 = 1024 ways.
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<h3>(b)</h3>
There are 3 ways to answer the first question incorrectly. Each additional question can be answered incorrectly 3 ways for each of the ways previous questions were answered. The total number of ways all questions can be answered incorrectly is ...
3^5 = 243
A student can answer all questions wrong in 243 different ways.
Because you might get confused and get the wrong answer
