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3 years ago

Which equation has the solutions x = 1+

Mathematics

1 answer:

BaLLatris [955]3 years ago

5 0

Answer:

The last equation x2 - 2x -4 = 0

has solution (x - 1)^2 - 5 = 0, x = 1 + root(5) or x = 1 - root(5)

Step-by-step explanation:

If a quadratic function has roots 1 and 5

f(x) = (x -1)(x- 5)

f(x) = x^2 - 6x + 5

Unless you meant. -4 and 6 ?

g(x) = (x + 4)(x - 6)

g(x) = x^2 -2x -24

-------------------------

Or did you mean x = 1 and x =4 ?...

x^2 + 2x + 4 = 0 : complete square x^2 + 2x + 1 + 3 = 0, (x+1)^2 + 3 = 0

x^2 - 2x + 4 = 0 : complete square: (x -1)^2 + 3 = 0

0x^2 + 2x - 4 = 0, 2x - 4 = 0, x = 2

x^2 - 2x - 4 = 0 becomes: x^2 - 2x + 1 - 1 -4 = 0 ; (x - 1)^2 - 5 = 0

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The mayor is interested in finding a 98% confidence interval for the mean number of pounds of trash per person per week that is

saul85 [17]

Solution :

Given :

Sample mean, $\overline X = 34.2$

Sample size, n = 129

Sample standard deviation, s = 8.2

a. Since the population standard deviation is unknown, therefore, we use the t-distribution.

b. Now for 95% confidence level,

α = 0.05, α/2 = 0.025

From the t tables, T.INV.2T(α, degree of freedom), we find the t value as

t =T.INV.2T(0.05, 128) = 2.34

Taking the positive value of t, we get

Confidence interval is ,

$\overline X \pm t \times \frac{s}{\sqrt n}$

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(32.52, 35.8)

95% confidence interval is (32.52, 35.8)

So with $95 \%$ confidence of the population of the mean number of the pounds per person per week is between 32.52 pounds and 35.8 pounds.

c. About $95 \%$ of confidence intervals which contains the true population of mean number of the pounds of the trash that is generated per person per week and about $5 \%$ that doe not contain the true population of mean number of the pounds of trashes generated by per person per week.

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3 years ago

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MaRussiya [10]

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3 years ago

In how many ways can we rearrange the digits in the number 12321? With formula and not just listing the numbers.

Archy [21]

Answer:

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3 years ago

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sdas [7]

Answer:

x=41

y=139

Step-by-step explanation:

x+y = 180 since they form a straight line

y is 3x +16

y = 3x +16

Replace y in the first equation