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3 years ago

Solve the inequality |2h-3| >1

Mathematics

1 answer:

mel-nik [20]3 years ago

5 0

Answer:

$\large\boxed{h>2\ \vee\ h$

Step-by-step explanation:

$|2h-3|>1\iff2h-3>1\ \vee\ 2h-34\ \vee\ 2h2\ \vee\ h$

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Find the equation of the sphere passing through pleft parenthesis negative 4 comma 7 comma 6 right parenthesis(−4, 7, 6) and qle

Oksi-84 [34.3K]

The equation of a sphere is:

(x – h)^2 + (y – k)^2 + (z – l)^2 = r^2

where h, k and l are the coordinates of the center of the sphere

Using the midpoint formula, the coordinate of the center is:

h = (-4 + 6) / 2 = 1

k = (7 + -5) / 2 = 1

l = (6 + 7) / 2 = 6.5

so the equation becomes:

(x – 1)^2 + (y – 1)^2 + (z - 6.5)^2 = r^2

we plug in any point, in this case point P to solve for r:

(-4 -1)^2 + (7 – 1)^2 + (6 - 6.5)^2 = r^2

r^2 = 61.25

So the full equation is:

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3 years ago

Write an inequality that represents the verbal expression. 9 less than a number n is less than 17.

bekas [8.4K]

9>n>17
it means that n can be whatever number between 9 and 17

7 0

3 years ago

Read 2 more answers

Audrey and Lauren began reading a novel on the same day. Audrey reads 15 pages a day and Lauren reads 5 pages a day. If Audrey i

Maru [420]

Lauren is on page 25. Since 75/15 is 5 that means she read fro 5 days. And they started at the same time so 5*5 is 25

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3 years ago

Read 2 more answers

Do bonds reduce the overall risk of an investment portfolio? Let x be a random variable representing annual percent return for t

rjkz [21]

Answer:

COV (all stocks) = 0.55

COV (stocks and bonds) = 0.82

Step-by-step explanation:

Coefficient of Variation is used to measure variability.

It is defined as the ration of standard deviation and the mean.

It can be used to compare variability of two population or two samples.

Formula:

$\text{Coefficient of Variation} = \displaystyle\frac{\text{Standard Deviation}}{\text{Mean}}$

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

x: 14, 0, 39, 25, 32, 27, 28, 14, 14, 15

$Mean = \frac{208}{10} = 20.8$

$Standard~Deviation = \sqrt{\frac{1169.6}{9} } = 11.39$

$Coefficient~of~Variation = \frac{11.39}{20.8} = 0.55$

y = 6, 2, 29, 17, 26, 17, 17, 2, 3, 5

$Mean = \frac{124}{10} = 12.4$

$Standard~Deviation = \sqrt{\frac{924.4}{9} } = 10.13$

$Coefficient~of~Variation = \frac{10.13}{12.4} = 0.82%$

Since coefficient of variation of x is less compared to y, thus it could be said bonds does not reduce overall risk of an investment portfolio.

6 0

2 years ago

3 more questions . geometry!!! please help

never [62]

10 is B
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11 isB
Hope this helped :)

5 0

3 years ago