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Gekata [30.6K]
3 years ago
11

7) If x-2 is a factor of P(x)= x^2-5x+a then find the value of a

Mathematics
1 answer:
ycow [4]3 years ago
7 0

Answer:

a = 6

Step-by-step explanation:

Given that (x - 2) is a factor of P(x) , then P(2) = 0 , that is

P(2) = 2² - 5(2) + a = 0 , so

4 - 10 + a = 0

- 6 + a = 0 ( add 6 to both sides )

a = 6

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A number when divided by 20 gives a remainder of 7. Which one of the following
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Answer:

5

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20 * 7 = 140

You can add 5 to 140 to make it a multiple of 5.

The answer is 5.

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Question 9 of 10
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Find an equation of the line with the given slope that passes through the given point. Write the equation in Ax+By=C M=7/5 and t
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What us the multiplicative inverse of 10^-10
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Step-by-step explanation:

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4 years ago
A random sample of 60 mathematics majors spent an average of $200.00 for textbooks for a term, with a standard deviation of $22.
tangare [24]

Answer:

20 +/- $6.74

= ( $13.26, $26.74)

The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)

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.

x1-x2 +/- margin of error

x1-x2 +/- z(√(r1^2/n1 + r2^2/n2)

Given that;

Mean x1 = $200

x2 = $180

Standard deviation r1 = $22.50

r2 = $18.30

Number of samples n1 = 60

n2 = 40

Confidence interval = 90%

z(at 90% confidence) = 1.645

Substituting the values we have;

$200-$180 +/-1.645(√(22.5^2/60 +18.3^2/40)

$20 +/- 6.744449847374

$20 +/- $6.74

= ( $13.26, $26.74)

The 90% confidence interval for the difference in average amounts spent on textbooks (math majors - English majors) is ( $13.26, $26.74)

3 0
3 years ago
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