Answer:
x = 9
y = 9√3 = 15.6
Step-by-step explanation:
The triangle given is a right triangle, therefore:
✔️apply trigonometric ratio formula to find x:
Reference angle = 60°
Hypotenuse = 18
Adjacent = x
Thus:
Cos (60) = x/18
Multiply both sides by 18
18×cos(60) = x
9 = x
x = 9
✔️find y by applying pythagorean theorem:
y² = 18² - x² (pythagorean theorem)
y² = 18² - 9² (substitution)
y² = 243
y = √243
y = √(81*3)
y = 9√3 = 15.6
Answer: F. Statistic, because the data set of salaries of 50 employees is a sample.
Step-by-step explanation:
A parameter gives measure of a characteristic for the entire population where as a statistic gives measure of a characteristic for the subset of population (sample).
Given : The average annual salary of 50 of a company's 800 employees is $54,000.
It means the sample size = 50 and the sample mean salary= $54,000.
i.e $54,000 is giving the measure for mean salary for the sampled 50 employees.
It means $54,000 is a statistic .
Hence, the correct answer is option (F).
Answer: 3n-6
Step-by-step explanation: You have to use the distributive property. 3 times n is 3n and 3 times -2 is -6.
Answer:
The test statistics is 
Step-by-step explanation:
From the question we are told that
The data given is
330 620 1870 2410 4620 6396 7822 81028309 12882 14419 16092 18384 20916 23812 25814
The population mean is 
The sample size is n = 16
The null hypothesis is 
The alternative hypothesis is 
The sample mean is mathematically evaluated as

So

=> 
The standard deviation is mathematically represented as

So



=> 
Generally the test statistic is mathematically represented as


From the z-table the p-value is

From the values obtained we see that
so we fail to reject the null hypothesis
Which implies that the claim of the NarStor is wrong
Answer:
9 cans of white paint
Step-by-step explanation:
To solve this you can set up a ratio.
The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.

We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.