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3 years ago

What is 41/6 as a mixed number in simplest form?

Mathematics

2 answers:

Natali [406]3 years ago

8 0

It is 6 1/6 because 6 goes into 41 6 times and there’s one left over

ziro4ka [17]3 years ago

7 0

The answer is 6 5/6.

Do you understand why?

If not...be sure to leave comment telling me what u r having problem with.

Glad to help!

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12r+5+3r-5 Need you help

iren [92.7K]

Answer:

15r

Step-by-step explanation:

7 0

3 years ago

The height (in inches) of adult men in the United States is believed to be Normally distributed with mean μ . The average height

Jlenok [28]

Answer: a. 69.72 ± 1.37

Step-by-step explanation:

We want to determine a 90% confidence interval for the mean height (in inches) of adult men in the United States.

Number of sample, n = 25

Mean, u = 69.72 inches

Standard deviation, s = 4.15

For a confidence level of 90%, the corresponding z value is 1.645. This is determined from the normal distribution table.

We will apply the formula

Confidence interval

= mean ± z × standard deviation/√n

It becomes

69.72 ± 1.645 × 4.15/√25

= 69.72 ± 1.645 × 0.83

= 69.72 ± 1.37

The lower end of the confidence interval is 69.72 - 1.37 = 68.35

The upper end of the confidence interval is 69.72 + 1.37 = 71.09

5 0

3 years ago

What are the solutions of x^2-2x+5=0

sweet [91]

The solution of $x^{2}-2 x+5=0$ are 1 + 2i and 1 – 2i

Solution:

Given, equation is $x^{2}-2 x+5=0$

We have to find the roots of the given quadratic equation

Now, let us use the quadratic formula

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$ --- (1)

Let us determine the nature of roots:

Here in $x^{2}-2 x+5=0$ a = 1 ; b = -2 ; c = 5

$b^2 - 4ac = 2^2 - 4(1)(5) = 4 - 20 = -16$

Since $b^2 - 4ac < 0$ , the roots obtained will be complex conjugates.

Now plug in values in eqn 1, we get,

$x=\frac{-(-2) \pm \sqrt{(-2)^{2}-4 \times 1 \times 5}}{2 \times 1}$

On solving we get,

$x=\frac{2 \pm \sqrt{4-20}}{2}$

$x=\frac{2 \pm \sqrt{-16}}{2}$

$x=\frac{2 \pm \sqrt{16} \times \sqrt{-1}}{2}$

we know that square root of -1 is "i" which is a complex number

$\begin{array}{l}{\mathrm{x}=\frac{2 \pm 4 i}{2}} \\\\ {\mathrm{x}=1 \pm 2 i}\end{array}$

Hence, the roots of the given quadratic equation are 1 + 2i and 1 – 2i

6 0

3 years ago

Which equation can be used to find the measure of angle LJK?

Alexxandr [17]

Answer: cos(x)= 10/15

Step-by-step explanation:

Trust

3 0

3 years ago

Factorise fully 6x^2 + 12x

sweet-ann [11.9K]

Answer:

6x(x+2)

Step-by-step explanation:

Factor 6x out of 6x^2+12x

6x(x+2)

3 0

2 years ago