Ayurveda is the traditional Hindu system of medicine, which is based on the idea of balance in bodily systems and uses diet, herbal treatment, and yogic breathing

7 0

3 years ago

On a standardized exam, the scores are normally distributed with a mean of 145 and a standard deviation of 25. Find the z-score

Kryger [21]

Answer:

z = 2.6

Step-by-step explanation:

<u>Use the formula for z-score</u>

$z=\frac{x-\mu}{\sigma}\\ \\z=\frac{210-145}{25}\\ \\z=\frac{65}{25}\\ \\z=2.6$

This tells us that this person's score of 210 places them 2.6 standard deviations above the mean

5 0

2 years ago

For what values of x is x2+2x=24 true?

JulijaS [17]

Answer:

$x=-6$ and $x=4$

Step-by-step explanation:

We must solve the quadratic equation to find the values of x that satisfy equality

$x^2+2x=24$

Subtract 24 on both sides of equality

$x^2+2x-24=24-24$

$x^2+2x-24=0$

Now we factor the quadratic equation

Identify two numbers that when you add them you get as a result 2 and when you multiply them you get as a result -24

The numbers sought are: 6 and -4

So the factors are:

$(x+6)(x-4)=0$

Finally note that the solutions are:

$x=-6$ and $x=4$

5 0

3 years ago

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