Answer:
x = 41
y = 24
Step-by-step explanation:
Systems of equations is,
-2x - 7y = -250 ------(1)
4x - y = 140 ------(2)
Equation (1) multiplied by 2 then added to equation (2)
-4x -14y = -500
(+) 4x - y = 140
-15y = -360
y =
y = 24
by putting y = 24 in equation (2),
4x - 24 = 140
4x = 140 + 24
x =
x = 41
For x = 41 and y = 24 both the equations are true.
Equation (1), -2(41) - 7(24) = -250 [True]
Equation (2), 4(41) - (24) = 140 [True]
Step-by-step explanation:
22.
14-3x=26
solve: 14-3x =26
-14 -14
-3x. = 12
÷-3. ÷-3
x=-4
the answer for 22 is x=-4
Answer: 0.0475
Step-by-step explanation:
Let x = random variable that represents the number of a particular type of bacteria in samples of 1 milliliter (ml) of drinking water, such that X is normally distributed.
Given: 
The probability that a given 1-ml will contain more than 100 bacteria will be:
![P(X>100)=P(\dfrac{X-\mu}{\sigma}>\dfrac{100-85}{9})\\\\=P(Z>1.67)\ \ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=1-P(Zz)=1-P(Z](https://tex.z-dn.net/?f=P%28X%3E100%29%3DP%28%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%3E%5Cdfrac%7B100-85%7D%7B9%7D%29%5C%5C%5C%5C%3DP%28Z%3E1.67%29%5C%20%5C%20%5C%20%5C%20%5BZ%3D%5Cdfrac%7BX-%5Cmu%7D%7B%5Csigma%7D%5D%5C%5C%5C%5C%3D1-P%28Z%3C1.67%29%5C%20%5C%20%5C%20%5BP%28Z%3Ez%29%3D1-P%28Z%3Cz%29%5D%5C%5C%5C%5C%3D1-%200.9525%3D0.0475)
∴The probability that a given 1-ml will contain more than 100 bacteria
0.0475.
the answer correct is (5,3)
The architect earns $47000 yearly and the lawyer earns $68,000 yearly.
<h3>How to solve algebra problems?</h3>
Let x = salary of architect, in thousands
Let 2x - 26 be the salary of lawyer, in thousands
Thus, if their salary combined is $214 thousand, then we have the algebra expression;
2x + 2x - 26 = 214
4x - 26 = 214
4x = 214 - 26
4x = 188
x = 47, in thousands.
The architect earns $47000 yearly
The lawyer earns 2(47000) - 26000 = $68,000 yearly
Read more about Algebra Problems at; brainly.com/question/4344214
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