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2 years ago

What is the distance between (-4,4) and (-7,3)

Mathematics

1 answer:

Alex787 [66]2 years ago

4 0

Answer:

$\sqrt{10}$

Step-by-step explanation:

Using the distance formula, we see that the distance between (-4,4) and (-7,3) is $\sqrt{10}$ .

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A local minimum of a function is its: A) smallest value of the function over its entire domain. B) largest value of the function

Hunter-Best [27]

Answer:

Step-by-step explanation:

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2 years ago

What is the approximate number of hours in 72 days on Saturn

Anon25 [30]

A planet's day is the time it takes the planet to rotate or spin once on its axis. Saturn rotates faster than Earth so a day on Saturn is shorter than a day on Earth. A day on Saturn is 10.656 hours long while a day on Earth is 23.934 hours long.

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3 years ago

Read 2 more answers

A worker at a landscape design center uses a machine to fill bags with potting soil. Assume that the quantity put in each bag fo

defon

Answer:

a) The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

b) $P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

c) $P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

Step-by-step explanation:

For this case we define the random variable X=quantity put in each bag , and we know that the distribution for X is given by:

$X \sim Unif (a= 10, b =12)$

Part a

The expected value is given by:

$E(X) =\frac{a+b}{2}= \frac{10+12}{2}= 11$

The variance is given by:

$Var(X) = \frac{(b-a)^2}{12}= \frac{(12-10)^2}{12}= 0.3333$

And the standard deviation is just the square root of the variance and we got:

$Sd(x) = \sqrt{0.3333}= 0.5774$

Part b

For this case we want this probability:

$P(X$

And we can use the cumulative distribution function given by:

$F(x) = \frac{x-a}{b-a}, a \leq x \leq b$

And using this function we got:

$P(X$

Part c

For this case we want this probability:

$P(X>10.5)$

And using the complement rule and the cumulative distribution function we got:

$P(X>10.5)= 1-P(X$

3 0

3 years ago

10 points!!!!!!!!!!!!!!

Murrr4er [49]

Answer:

B) x^2 - 3/ 3x

Step-by-step explanation:

As, f(x) - g(x) = x/3 - 1/x

So, x^2/ 3x - 3/ 3x

= x^2 - 3/ 3x

7 0

3 years ago

Read 2 more answers

The value of y varies directly as x with a constant variation of 2 what is the value of y when x is 6?

sp2606 [1]

Answer:

The value of y is 12

Step-by-step explanation:

y∝x

y = kx

y = 2x

when x = 6, y = 2(6)

= 12

(Correct me if i am wrong)

8 0

3 years ago