How many vertices does a cube have
2 answers:
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Answer:
The mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.
Step-by-step explanation:
We know the population mean and standard deviation, that has a bell-shaped distribution:
The sampling distribution, the distribution of the mean of samples of size n out of this population, will have the same mean as the population mean.
The standard deviation will be related to the population standard deviation and the sample size as:
Then, the mean of samples of 100 IQ scores taken out from this population will have a distribution with mean M=104 and standard deviation s=3.5.
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 8 ← is in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
, thus
y = - x + c ← is the partial equation
To find c substitute (6, - 6) into the partial equation
- 6 = - 3 + c ⇒ c = - 6 + 3 = - 3
y = - x - 3 ← equation of line k
Answer:
a) linear model is
b) Amount earned by Samantha is $950.
Step-by-step explanation:
Given: Samantha base salary= $800
She get tips averaging 15% of the meals she serves.
Samantha serve meals worth a total of $1000.
Lets assume total worth of meal served by Samantha be "x".
And Total earning of samantha in a months be "y".
To calculate the total income of samantha, we need to add fixed income and variable income.
∴
(∵ Tip is 15%)
∴
Hence, the linear model for the total earning of samantha is .
Now, finding the total amount earned by samantha.
As given, Samantha serves meals worth a total of $1000.
Subtituting the value of meals worth in the equation.
⇒
∴ y= $950
Hence, the total amount earned by Samantha is $950.