All categories

2 years ago

Help please and thanks! I usually give brainliest as well! :)

Mathematics

1 answer:

Mashutka [201]2 years ago

3 0

a dodecagon has 12 sides, now, if we take a circular 360° and divide into 12 even parts, we get 360/12 = 30, 5 of those angles added up will just be 150°, Check the picture below.

You might be interested in

Whats TWO equivalent expressions for 2(3j+ 5 + 6j). Rember TWO equivalent expressions not one.

Natalka [10]

Answer:

2(9j+5) and 18j+10

Step-by-step explanation:

1) group like terms

2) distribute

please mark brainliest

6 0

3 years ago

Please help ASAP!!! <br><br> What is the sum of this series?

Katarina [22]

Answer:

Step-by-step explanation:

Since this is only three terms

Find the three terms and add

j=1 3(1)^2+1 = 3+1 =4

j=2 3(2)^2+1 = 3(4)+1 =13

j=3 3(9)^2+1 = 27+1 =28

The sum is 4+13+28 =45

6 0

3 years ago

The probability that a grader will make a marking error on any particular question of a multiple-choice exam is 0.15. If there a

sashaice [31]

Answer:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

$P(X \geq 1)= 1-P(X$

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

$P(X \geq 1)= 1-P(X$

Step-by-step explanation:

Previous concepts

A Bernoulli trial is "a random experiment with exactly two possible outcomes, "success" and "failure", in which the probability of success is the same every time the experiment is conducted". And this experiment is a particular case of the binomial experiment.

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

The complement rule is a theorem that provides a connection between the probability of an event and the probability of the complement of the event. Lat A the event of interest and A' the complement. The rule is defined by: $P(A)+P(A') =1$

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=10, p=0.15)$

what is the probability that no errors are made?

For this case means that all the questions were correct so we want this probability:

$P(X=0)=(10C10)(0.15)^{0} (1-0.15)^{10-0}=0.1969$

what is the probability that at least one error made?

For this case we want this probability:

$P(X \geq 1)$

And we can use the complement rule:

$P(X \geq 1)= 1-P(X$

If there are n questions and the probability of a marking error is p rather than 0.15, give expressions for the probabilities of no errors and at least one error

$P(X=0)=(nCn)(p)^{0} (1-p)^{n-0}=(1-p)^n$

$P(X \geq 1)= 1-P(X$

8 0

3 years ago

Find the value of the variable plz help

Naddika [18.5K]

Answer:

Step-by-step explanation:

Vertically opposite angles are equal.

8y + 36 = 14y -24 Subtract 36 to both sides

8y = 14y - 24 - 36 Combine

8y = 14y - 60 Subtract 14y from both sides

8y - 14y = - 60

-6y = -60 Divide by - 6

-6y/-6 = -60/-6

y = 10

===========================

x +48 = 64 Subtract 48 from both sides

x +48 - 48 = 64-16

x = 16

7 0

3 years ago

Read 2 more answers

Answer to cheek your knowledge

ivolga24 [154]

Answer:

Step-by-step explanation:

vertical angles congrunet (angleFJH + angle GJI)

& (angleHFJ + angle JGI congruent)

3 0

3 years ago