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1 year ago

What is the solution of root 6 ÷ root 6

Mathematics

2 answers:

zhannawk [14.2K]1 year ago

6 0

Answer:

Step-by-step explanation:

$=\frac{\sqrt{6} }{\sqrt{6} } \\\\=\frac{\sqrt{6} }{\sqrt{6} } *\frac{\sqrt{6} }{\sqrt{6} } \\\\=\frac{6}{6} \\\\=1$

Hope it will help you.

torisob [31]1 year ago

5 0

Answer:

$1$

explanation:

$\frac{\sqrt{6} }{\sqrt{6} }$

$1$

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If IQ scores are normally distributed with a mean of 100 and a standard deviation of 5, what is the probability that a person se

notsponge [240]

Answer:

2.28% probability that a person selected at random will have an IQ of 110 or higher

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 5$

What is the probability that a person selected at random will have an IQ of 110 or higher?

This is 1 subtracted by the pvalue of Z when X = 110. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{110 - 100}{5}$

$Z = 2$

$Z = 2$ has a pvalue of 0.0228

2.28% probability that a person selected at random will have an IQ of 110 or higher

5 0

2 years ago

Sarah has a brother who is 5 years younger than herself and another brother who is 8 years younger than herself. She observes th

ELEN [110]

Answer:

Sarah is 13 years old

Step-by-step explanation:

Represent Sarah's age with S

Her first brother's age with F

Her second brother's age with B

So, we have:

From the first statement, we have:

$S - F = 5$ ---- (1)

From the second, we have:

$S - B = 8$ ---- (2)

The product of their ages is 40.

First, we make F the subject in (1) and B the subject in (2)

$F = S - 5$

$B = S - 8$

Their product is represented as follows:

$F * B = 40$

Substitute values for F and B

$(S - 5) * (S - 8)=40$

Open bracket

$S^2 - 5S -8S + 40 = 40$

$S^2 - 13S + 40 = 40$

Subtract 40 from both sides

$S^2 - 13S = 0$

Factorize:

$S(S - 13) = 0$

Split:

$S = 0$ or $S - 13 = 0$

But Sarah's age can't be 0 because she has two younger brothers.

So, we stick to

$S - 13 = 0$

Make S the subject

$S = 13$

<em>Hence, Sarah is 13 years old</em>

3 0

2 years ago

What is the solution to -2|2.2x - 3.3| = -6.6

lana66690 [7]

Answer:

the answer would be x = 3, 0

Step-by-step explanation:

as much as I would like to, I'm really not that good at explaining things

7 0

3 years ago

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The graph of an equation has a minimum y value of 12. This minimum occurs at an x value of 3. What is true of the graph of the e

Olin [163]

Answer:

i don't know

Step-by-step explanation:

3 0

2 years ago

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Which value of x satisfies both -9x+4y=8 and -3x-y=4 given the same value of y?

Deffense [45]

The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is $-\frac{8}{7}$

Step-by-step explanation:

The system of equations has two equations:

-9x + 4y = 8
-3x - y = 4

Let us solve the system of equations to find the value of x and substitute it in the two equations to check if it gives the same value of y in the two equations

∵ -9x + 4y = 8 ⇒ (1)

∵ -3x - y = 4 ⇒ (2)

- Multiply equation (2) by 4 to make the coefficients of y in the

two equations have same value and different signs

∴ -12x - 4y = 16 ⇒ (3)

- Add equations (1) and (3) to eliminate y

∴ -21x = 24

- Divide both sides by -21

∴ x = $-\frac{8}{7}$

Let us substitute this value of x in equations (1) and (2) to find y

∵ -9( $-\frac{8}{7}$ ) + 4y = 8

∴ $\frac{72}{7}$ + 4y = 8

- Subtract $\frac{72}{7}$ from both sides

∴ 4y = $-\frac{16}{7}$

- Divide both sides by 4

∴ y = $-\frac{4}{7}$

∵ -3( $-\frac{8}{7}$ ) - y = 4

∴ $\frac{24}{7}$ - y = 4

- Subtract $\frac{24}{7}$ from both sides

∴ - y = $\frac{4}{7}$

- Divide both sides by -1

∴ y = $-\frac{4}{7}$

The value of x satisfies both -9x + 4y = 8 and -3x - y = 4 given the same value of y is $-\frac{8}{7}$

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

5 0

2 years ago