Answer:
AT=6, RC=5
Step-by-step explanation:
Perpendicular bisector intersect at T that is the circumcenter.
since RT is a bisector or AC and AR=5 then RC=5
Circumcenter is equidistant from the vercices of the triangle so
AT≅BT≅CT
but CT is given to be CT=6 so AT=6
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.
Total distance traveled = 4 + 6 = 10 miles
Total time = 15 + 25 = 40 minutes
Speed = 10 miles ÷ 40 minutes = 0.25 mph
Answer:
Step-by-step explanation:
9.99divide by 5 is1.998 1.998*5=9.99 so 1 pound would be 1.998
To find the simple interest, we multiply 600 × 0.04 × 1.5 to get that:
The interest is: $36.00