The reason why the domain of g(x)=5⁻ˣ has a domain of all real numbers while the range is not is because, every real number value of x makes perfect sense as an exponent, that means there no restrictions because there are divisions by zero or the square root of the negative number.
The reason why the range is not all real number is because of the negative exponent. This will limit the range to positive real numbers only.
The shortest height at which the two stacks will be same is 72 inches.
Step-by-step explanation:
Given,
Boxes that are 18 inches tall are being stacked next to boxes that are 24 inches tall.
It means that we will find least common factor of both the boxes;
18 = 2*3*3
24 = 2*2*2*3
LCM = 2*2*2*3*3 = 72
The least common multiple of 18 and 24 is 72, therefore,
The shortest height at which the two stacks will be same is 72 inches.
Keywords: LCM, multiplication
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Idk depends how thick the book are
Answer:
Norma should be offered the job.
Step-by-step explanation:
For Norma;
Population mean; μ = 67.5
Sample mean; x¯ = 84.5
standard deviation; σ = 10
Formula for the test statistic is;
z = (x¯ - μ)/σ
z = (84.5 - 67.5)/10
z = 1.7
For Rebecca;
Population mean; μ = 293
Sample mean; x¯ = 306.5
standard deviation; σ = 27
Formula for the test statistic is;
z = (x¯ - μ)/σ
z = (306.5 - 293)/27
z = 0.5
For Morgan;
Population mean; μ = 7.1
Sample mean; x¯ = 8.38
standard deviation; σ = 0.8
Formula for the test statistic is;
z = (x¯ - μ)/σ
z = (8.38 - 7.1)/0.8
z = 1.6
The person with highest z-score is Norma and as such he should get the job.
Answer:
All real numbers are solutions.
Step-by-step explanation: