All categories

3 years ago

Which of the following are adjacent angles?

Mathematics

1 answer:

sleet_krkn [62]3 years ago

6 0

Answer:

Solution :

********************************************

Two angles are said to be a pair of

adjacent angles if they have a common

arm and lie on the either sides of the

common arm .

***********************************************

Now ,

i ) a , b are a pair of adjecent angles .

ii ) c , d are pair of adjecent angles.

iii ) e, f are not adjecent angles .

Step-by-step explanation:

You might be interested in

Jasper and Muthu cycled from Town P to Town Q. Jasper cycled at a speed of 36 km/h

Luda [366]

Answer:

a,khoảng cách từ thị trấn P đến thị trấn Q là

Step-by-step explanat io n:

36*5=180(km)

b,Muthu đi xe đạp từ thị trấn P đến thị trấn Q hết số phút là:

180/40=4,5(h)=270(phút)

3 0

3 years ago

Past records indicate that the probability of online retail orders

Tcecarenko [31]

Answer:

a) Mean = 1.6, standard deviation = 1.21

b) 18.87% probability that zero online retail orders will turn out to be fraudulent.

c) 32.82% probability that one online retail order will turn out to be fraudulent.

d) 48.31% probability that two or more online retail orders will turn out to be fraudulent.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

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

And p is the probability of X happening.

The mean of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

In this problem, we have that:

$p = 0.08, n = 20$

a. What are the mean and standard deviation of the number of online retail orders that turn out to be fraudulent?

Mean

$E(X) = np = 20*0.08 = 1.6$

Standard deviation

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{20*0.08*0.92} = 1.21$

b. What is the probability that zero online retail orders will turn out to be fraudulent?

This is P(X = 0).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{20,0}.(0.08)^{0}.(0.92)^{20} = 0.1887$

18.87% probability that zero online retail orders will turn out to be fraudulent.

c. What is the probability that one online retail order will turn out to be fraudulent?

This is P(X = 1).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 1) = C_{20,1}.(0.08)^{1}.(0.92)^{19} = 0.3282$

32.82% probability that one online retail order will turn out to be fraudulent.

d. What is the probability that two or more online retail orders will turn out to be fraudulent?

Either one or less is fraudulent, or two or more are. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 1) + P(X \geq 2) = 1$

We want $P(X \geq 2)$

$P(X \geq 2) = 1 - P(X \leq 1)$

In which

$P(X \leq 1) = P(X = 0) + P(X = 1)$

From itens b and c

$P(X \leq 1) = 0.1887 + 0.3282 = 0.5169$

$P(X \geq 2) = 1 - P(X \leq 1) = 1 - 0.5169 = 0.4831$

48.31% probability that two or more online retail orders will turn out to be fraudulent.

4 0

4 years ago

Can you tell answer of this question

RoseWind [281]

Answer:

what is the question?

Step-by-step explanation:

#MASTER GROUP

# FIRST MASTER

# PHILIPPINES

4 0

3 years ago

93.8% complete This is a Single Choice Question; skip ahead to question content A B C D E Confirm You planted 488 acres of corn

irakobra [83]

Answer:

148

Step-by-step explanation:

The total yield was ...

64,100 +8,120 = 72,220 bushels

The average yield was ...

(72,200 bu)/(488 ac) = 148 bu/ac

Your yield per acre is 148 bushels.

____

Comment on corn yield

Average corn yield in the US in 2018 was 176.4 bushels per acre. The highest was 270 bu/ac in a southeastern Washington county.

6 0

3 years ago

Geometry

satela [25.4K]

Answer:

Option (C)

Step-by-step explanation:

From the picture attached,

Two lines 'h' and 'k' are the parallel lines and a transversal 'n' is intersecting these parallel lines at two distinct points.

By the theorem of alternate interior angles, angle 8 and angle 11 will be equal in measure.

∠8 ≅ ∠11 [Alternate interior angles]

m(∠8) = m(∠11) = 118°

Therefore, Option (C) will be the answer.

7 0

3 years ago