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3 years ago

What is the measure of angle K in degrees?

Mathematics

2 answers:

maxonik [38]3 years ago

5 0

The measure is 30° degrees

Art [367]3 years ago

4 0

Answer:

74.5

Step-by-step explanation:

the angle sum of a triangle is equal to 180. With that, we now add 32.5 and 73 which gives me 105.5. Now we subtract 180-105.5= 74.5 degrees.

You might be interested in

If 4 (log3 1/27)=X what is the value of X

givi [52]

$4(log _{3} 1/27) =x$
$log _{3} \frac{1}{27}^4 =x$

Now remember: $b^y=x \\ equals \\ log _{b}x=y$

$3^x = \frac{1}{27}^4$
$3^x = \frac{1}{531441}$
$log _{3} \frac{1}{531441} =x$
$\frac{ln\frac{1}{531441}}{ln3} = x$
$\frac{1}{531441} = 0.000002$
you can now enter this into your calculator...

Answer: x = -0.083

7 0

3 years ago

Read 2 more answers

Five individuals from an animal population thought to be near extinction in a certain region have been caught, tagged, and relea

Talja [164]

Answer:

a) For this case the random variable X follows a hypergometric distribution.

b) $E(X)= n\frac{M}{N}=10 \frac{5}{25}=2$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}=10\frac{5}{25}\frac{25-5}{25}\frac{25-10}{25-1}=1$

c) $P(X=0)= \frac{(5C0)(25-5 C 10-0)}{25C10}=\frac{1*184756}{3268760}=0.0565$

d) $P(X=5)= \frac{(5C5)(25-5 C 10-5)}{25C10}=\frac{1*15504}{3268760}=0.00474$

Step-by-step explanation:

The hypergometric distribution is a discrete probability distribution that its useful when we have more than two distinguishable groups in a sample and the probability mass function is given by:

$P(X=k)= \frac{(MCk)(N-M C n-k)}{NCn}$

Where N is the population size, M is the number of success states in the population, n is the number of draws, k is the number of observed successes

The expected value and variance for this distribution are given by:

$E(X)= n\frac{M}{N}$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}$

a. What is the distribution of X?

For this case the random variable X follows a hypergometric distribution.

b. Compute the values for E(X) and Var(X)

For this case n=10, M=5, N=25, so then we can replace into the formulas like this:

$E(X)= n\frac{M}{N}=10 \frac{5}{25}=2$

$Var(X)=n \frac{M}{N}\frac{N-M}{N}\frac{N-n}{N-1}=10\frac{5}{25}\frac{25-5}{25}\frac{25-10}{25-1}=1$

c. What is the probability that none of the animals in the second sample are tagged?

So for this case we want this probability:

$P(X=0)= \frac{(5C0)(25-5 C 10-0)}{25C10}=\frac{1*184756}{3268760}=0.0565$

d. What is the probability that all of the animals in the second sample are tagged?

So for this case we want this probability:

$P(X=5)= \frac{(5C5)(25-5 C 10-5)}{25C10}=\frac{1*15504}{3268760}=0.00474$

4 0

3 years ago

Do anyone know how to do this?

kykrilka [37]

Answer:

1.) x=4

2.) x=14

Step-by-step explanation:

FOR #1:

1.) In order to solve the parallelogram, you must know that each opposite sides must equal...

so KL=JM and KJ=LM

2.) To solve for "x", you must substitute

$KL= 7x-2\\JM=12x-22$

so it should end up with...

$7x-2=12x-22$

3.) Solve the equation with some algebra

$7x-2=12x-22\\-5x=-20\\x=4$

FOR #2:

1.) In order for a square, rectangle, parallelogram, (or any shape with four sides), it must equal to 360°. And you just have two given angles, which equal to 180, so that means the unknown equals to 180...So in this case you should have

$(3x+5)+(9x-17)+180=360$