Answer:
see explanation
Step-by-step explanation:
Divide through by 2
2a² - 5a + 3 = 0
To factor the quadratic
Consider the factors of the product of the coefficient of the a² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 3 = 6 and sum = - 5
The factors are - 2 and - 3
Use the factors to split the a- term
2a² - 2a - 3a + 3 = 0 ( factor the first/second and third/fourth terms )
2a(a - 1) - 3(a - 1) = 0 ← factor out (a - 1)
(a - 1)(2a - 3) = 0
Equate each factor to zero and solve for a
a - 1 = 0 ⇒ a = 1
2a - 3 = 0 ⇒ 2a = 3 ⇒ a =
It would be 13 weeks two weeks to pay off the money then $5 from those two paychecks 11 weeks for him to deposit $500 and buy the bike
The required estimation of 11 4/5 divided by 3 1/5 is 4.61.
Given that,
To determine the estimation of 11 4/5 divided by 3 1/5.
<h3>What is arithmetic?</h3>
In mathematics, it deals with numbers of operations according to the statements.
In the given question we have given, 2 mixed fractions we have to determine the simplified fraction by dividing one from the other, as stated in the question.
Simplification,
11 + 4 / 5 = 59 / 4
3 + 1 / 5 = 16 / 5
11 4/5 divided by 3 1/5 estimation,
= ( 59/4 ) / (16 / 5)
= 59 * 5 / 4 * 16
= 4.61
Thus, the required estimation of 11 4/5 divided by 3 1/5 is 4.61.
Learn more about arithmetic here:
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Answer:
= ( 82.90, 85.10) points
Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 84
Standard deviation r = 4.5
Number of samples n = 45
Confidence interval = 90%
z(at 90% confidence) = 1.645
Substituting the values we have;
84+/-1.645(4.5/√45)
84+/-1.645(0.670820393249)
84+/-1.10
= ( 82.90, 85.10) points
Therefore at 90% confidence interval (a,b)= ( 82.90, 85.10) points
Answer:
0 solutions
Step-by-step explanation:
when the 2 equations aresolved they get cancelled off each other.