Answer:
m = 6
Step-by-step explanation:
4m + 2(8) = 5(8) (Given)
4m + 16 = 40 (Simplify)
4m + 16 - 16 = 40 - 16 (Subtraction Property of Equality)
4m = 24 (Simplify)
(Division Property of Equality)
m = 6 (Simplify)
Answers:
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1) (3 inches)(5 inches) = (3 in)(5 in) = 3 * 5 * in * in = 15 * in * in = " 15 in² " .
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2) (5 feet)(2 feet) = (5 ft)(2ft) = 5 * 2 * ft * ft = 10 * ft * ft = " 10 ft² " .
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Answer:
Yes the conclusion in the question is a reasonable conclusion
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean for USA is 
The sample mean for Mexico is 
The sample standard deviation for USA is 
The sample standard deviation for Mexico is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=> 
From the z table the area under the normal curve to the left corresponding to -10 is

Generally from the value obtained we see that
The p-value is <
hence
The decision rule is
Reject the null hypothesis
The conclusion is
The is sufficient evidence to conclude that adults in the United States get less sleep on work nights than adults in Mexico
Hence the conclusion in the question is a reasonable conclusion
Answer: 400 adult tickets were sold.
Step-by-step explanation:
Let x represent the adult tickets that were sold.
Let y represent the number of children tickets that were sold.
1000 tickets were sold to the seaport aquariums dolphin show. This means that
x + y = 1000
Adult tickets cost $10. Children tickets cost two dollars and a total of 5200 was collected. This means that
10x + 2y = 5200 - - - - - - - -1
Substituting x = 1000 - y into equation 1, it becomes
10(1000 - y) + 2y = 5200
10000 - 10y + 2y = 5200
- 10y + 2y = 5200 - 10000
- 8y = - 4800
y = - 4800/ - 8
y = 600
x = 1000 - y = 1000 - 600
x = 400