Answer:
x =
Step-by-step explanation:
So here we are trying to find the value of x;
Subtract 5x from both sides;
-8x + 10 = -8
Then, Subtract 10 from both sides;
-8x = -18
Divide both sides by -8;
x =
Which function passes through the points (2, 15) and (3, 26)?
2 answers:
Answer: The correct option is (B)
Step-by-step explanation: We are given to select the function that passes through the points (2, 15) and (3, 26).
Since the function passes through two points, so it must be a linear function in two variables.
That is, the graph of the function will be a straight line.
Now,
the slope of the line passing through the points (2, 15) and (3, 26) is given by
Since the line passes through the point (2, 15), so the equation of the line will be
Thus, the required function is
Option (B) is correct.
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Answer:
Probability that their mean credit card balance is less than $2500 is 0.0073.
Step-by-step explanation:
We are given that a bank auditor claims that credit card balances are normally distributed, with a mean of $3570 and a standard deviation of $980.
You randomly select 5 credit card holders.
Let<em> </em><em> = </em><u><em>sample mean credit card balance</em></u>
The z score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean credit card balance = $3570
= standard deviation = $980
n = sample of credit card holders = 5
Now, the probability that their mean credit card balance is less than $2500 is given by = P(<em> </em>< $2500)
P(<em> </em>< $2500) = P(
<
) = P(Z < -2.44) = 1 - P(Z
2.44)
= 1 - 0.9927 = 0.0073
The above probability is calculated by looking at the value of x = 2.44 in the z table which has an area of 0.9927.
Therefore, probability that their mean credit card balance is less than $2500 is 0.0073.