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2 years ago

3044 in a base 5 to a base 10

Mathematics

1 answer:

nikklg [1K]2 years ago

4 0

3,059 I don’t really care

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Which description can be written as the expression 40n-15

vodka [1.7K]

40n-15 can be broken down by
5(8n-3)

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3 years ago

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A hypothesis will be used to test that a population mean equals 5 against the alternative that the population mean is less than

Oksi-84 [34.3K]

Answer:

For the significance level of 0.01, the critical value for the test statistic is 2.326.

Step-by-step explanation:

Null hypothesis: population mean equals 5.

Alternate hypothesis: population mean is less than 5.

The test is a one-tailed test because the alternate hypothesis is expressed using less than.

For a one-tailed test, the critical value of the test statistic for the significance level of 0.01 is 2.326.

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3 years ago

7. Solve the equation using the quadratic formula.<br> 3x^2 = 2(2x+1)

suter [353]

Answer:

$\rm x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}$

Step-by-step explanation:

A quadratic equation is given to us and we need to solve the equation using the quadratic formula . The given equation is ,

$\rm\implies 3x^2=2(2x+1)$

Open the brackets in RHS ,

$\rm\implies 3x^2= 4x + 2$

Transpose all the terms to LHS ,

$\rm\implies 3x^2-4x-2=0$

The general form of a quadratic equation is ax² + bx + c = 0 , and the roots of the equation by the Quadratic Formula ( Shreedhacharya's Formula ) is given by ,

$\rm\implies\red{ x =\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}$

Using the quadratic formula , we have ,

$\rm\implies x =\dfrac{-(-4) \pm \sqrt{(-4)^2-4(3)(-2) }}{2(3)}$

Simplify ,

$\rm\implies x =\dfrac{4 \pm \sqrt{16+24 }}{6}$

$\rm\implies x = \dfrac{4\pm \sqrt{40}}{6}$

$\rm\implies x =\dfrac{4\pm 2\sqrt{10}}{6}$

$\rm\implies\boxed{\pink{\frak{ x = \dfrac{2+\sqrt{10}}{3},\dfrac{2-\sqrt{10}}{3}}}}$

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2 years ago

The fair spinner shown in the diagram above is spun.

Alexus [3.1K]

He length of time, in minutes, for and airplane to obtain clearance for take off at a certain airport is a random variable Y=3X-2, where x has the density funct

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3 years ago

HELPPP PLS ILL MARK BRAINLIEST!!!!

astra-53 [7]

Answer:

Step-by-step explanation:

$a_{n} = a_{n-1}*r\\a_{8} = a_{7}*r\\a_{8}=16*\frac{1}{2} =8$

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3 years ago