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3 years ago

Y = x Squared - 2x - 15

Mathematics

1 answer:

antoniya [11.8K]3 years ago

5 0

Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y. x-intercept(s): (5,0),(−3,0)y-intercept(s): (0,−15)

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The heights of a certain type of tree are approximately normally distributed with a mean height p = 5 ft and a standard

arsen [322]

Answer:

A tree with a height of 6.2 ft is 3 standard deviations above the mean

Step-by-step explanation:

⇒ $1^s^t$ statement: A tree with a height of 5.4 ft is 1 standard deviation below the mean(FALSE)

an X value is found Z standard deviations from the mean mu if:

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

In this case we have: $\mu=5\ ft$ $\sigma=0.4\ ft$

We have four different values of X and we must calculate the Z-score for each

For X =5.4\ ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.4-5}{0.4}=1$

Therefore, A tree with a height of 5.4 ft is 1 standard deviation above the mean.

⇒ $2^n^d$ statement:A tree with a height of 4.6 ft is 1 standard deviation above the mean. (FALSE)

For X =4.6 ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{4.6-5}{0.4}=-1$

Therefore, a tree with a height of 4.6 ft is 1 standard deviation below the mean .

⇒ $3^r^d$ statement:A tree with a height of 5.8 ft is 2.5 standard deviations above the mean (FALSE)

For X =5.8 ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{5.8-5}{0.4}=2$

Therefore, a tree with a height of 5.8 ft is 2 standard deviation above the mean.

⇒ $4^t^h$ statement:A tree with a height of 6.2 ft is 3 standard deviations above the mean. (TRUE)

For X =6.2\ ft

$Z=\frac{X-\mu}{\sigma}\\Z=\frac{6.2-5}{0.4}=3$

Therefore, a tree with a height of 6.2 ft is 3 standard deviations above the mean.

6 0

3 years ago

5x/x^2-9 + 7/x+3<br> Simplify

rjkz [21]

5x ÷ x² - 9 + 7 ÷ x + 3

Write the division as a fraction:

$\frac{5x}{x^{2} }\\$ - 9 + $\frac{7}{x}$ + 3

Simplify the expression:

$\frac{5}{x}$ - 9 + $\frac{7}{x}$ + 3

Calculate the sum:

$\frac{5}{x}$ - 6 + $\frac{7}{x}$

Write all numerators above the common denominator:

$\frac{5 - 6x + 7}{x}$

Add the numbers and you get the final answer:

$\frac{12-6x}{x}$

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2 years ago

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