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3 years ago

Find the missing side lengths

Mathematics

1 answer:

MAXImum [283]3 years ago

8 0

Answer:

u is 17√2 and v is 17

Step-by-step explanation:

To find u:

${ \bf{ \sin( \theta) = \frac{opposite}{hypotenuse} }}$

feed in the terms:

$\sin(45 \degree) = \frac{17}{u} \\ \\ u = \frac{17}{ \sin(45 \degree) } \\ \\ u = 17 \sqrt{2}$

To find v:

$\cos( \theta) = \frac{adjacent}{hypotenuse}$

feed in the terms:

$\cos(45) = \frac{v}{u} \\ \\ v = u. \cos(45) \\ v = (17 \sqrt{2} )÷( \sqrt{2} ) \\ v = 17$

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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

4 years ago

Lisa says that 43 is a 2-digit odd number that is composite us she correct

kogti [31]

Yes Lisa is correct 43 is a 2 digit number 4 is one digit and 3 is a digit so it makes two digits 43 is a prime number because 43 has no positive divisors rather than 1 and itself.

SO answer is YES

7 0

3 years ago

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1 over 8 added 5 times equals

leonid [27]

Answer:

5/8 or 41/8

Step-by-step explanation:

If you mean 1/8 x 5, then that equals 5/8

If mean 1/8 + 5, then that equals 41/8

3 0

3 years ago

Write a word phrase for the following algebraic expression: 8n-3.

exis [7]

eight times n minus three.

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4 years ago

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Veronika [31]

It seems like u are correct, smart man

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3 years ago

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