Answer:
<h2>The angle ABC is 70°.</h2>
Step-by-step explanation:
You can observe a representation of the problem in the image attached.
According to the inscribed angle theorem, the angle created by two chords is half of its subtended arc, that means

Now, observe that the arc AC has as central angle the angle ABC, according to the theorem, the subtended arc and its central are congruent.

Therefore, the angle ABC is 70°.
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.
Answer:
Each piece of tofu weighs 0.847 ounces.
Step-by-step explanation:
8.47 divided by 10 = 0.847 ounces
Hope this helps
(x - 3) + (x - 6) + x = 63
x - 3 + x - 6 + x = 63
Combine like terms
3x - 9 = 63
Isolate the constant
3x - 9 + 9 = 63 + 9
3x = 72
Isolate the viable
3x / 3 = 72 / 3
x = 24
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Hello Crylicx, <span>If the sum of the measures of two angles is 180° , then the angles are supplementary angles so if you saying if its true or false you answer is correct.</span>