Answer:
a= 24b/5c b= 5ac/24 c= 24b/5a
Step-by-step explanation:
Put the problem into a calculator that can solve with variables.
Answer:
Aziz's money was $30
Osman's money was $15
Step-by-step explanation:
Let
x-----> Aziz's money at first
y-----> Osman's money
we know that

------> equation A
-----> equation B
substitute equation A in equation B and solve for y

Find the value of x
therefore
At first
Aziz's money was $30
Osman's money was $15
Answer:
<h2><em><u>3</u></em></h2>
Step-by-step explanation:
<h3>
<u>Given</u><u> </u><u>question</u><u>:</u></h3>
<em>To</em><em> </em><em>simplify</em><em> </em><em>-</em><em> </em>

<h3>
<u>Solution</u><u>:</u></h3>
<em>According</em><em> </em><em>to</em><em> </em><em>PEMDAS</em><em> </em><em>rule</em><em>,</em>
- <em>[</em><em>First</em><em> </em><em>parenthesis</em><em>]</em>


- <em>[</em><em>Then</em><em> </em><em>exponents</em><em>]</em>

- <em>[</em><em>Then</em><em> </em><em>multiplication</em><em>]</em>
= 14 + 16 ÷ 8 - 21 ÷ 7 - 10
- <em>[</em><em>Then</em><em> </em><em>division</em><em>]</em>
= 14 + 2 - 3 - 10
- <em>[</em><em>Then</em><em> </em><em>addition</em><em>]</em>
= 16 - 13
- <em>[</em><em>Then</em><em> </em><em>subtraction</em><em>]</em>
= <em><u>3</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
The P-value is 0.0166.
Step-by-step explanation:
<u>The complete question is:</u> In a one-tail hypothesis test where you reject H0 only in the lower tail, what is the p-value if ZSTAT = -2.13.
We are given that the z-statistics value is -2.13 and we have to find the p-value.
Now, the p-value of the test statistics is given by the following condition;
P-value = P(Z < -2.13) = 1 - P(Z
2.13)
= 1 - 0.9834 = <u>0.0166</u>
Assuming that the level of significance is 0.10 or 10%.
The decision rule for rejecting the null hypothesis based on p-value is given by;
- If the P-value of the test statistics is less than the level of significance, then we have sufficient evidence to reject the null hypothesis.
- If the P-value of the test statistics is more than the level of significance, then we have insufficient evidence to reject the null hypothesis.
Here, the P-value is more than the level of significance as 0.0166 > 0.10, so we have insufficient evidence to reject the null hypothesis, so we fail to reject the null hypothesis.
Answer: x=5 y=6
Step-by-step explanation: 6y=3× +21
6y-6=2× +20
Opposite sides of the rectangle are equal
Substitute 3x +21 into 6y in the second equation.