1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
malfutka [58]
3 years ago
6

Ken drew a pair of intersecting rays and marked the angle between them. . . Which of these statements best compares the pair of

intersecting rays with the angle?. . A] The rays and the angle have two endpoints each.. B] The rays have a number of points lying on them and the angle has only one point lying on it.. C] The rays extend infinitely and the angle is made by the rays which have a common endpoint.. D] The rays and the angle have their lines extending in opposite directions.
Mathematics
1 answer:
ANEK [815]3 years ago
4 0
Ken drew a pair of intersecting rays and marked the angle between them. . . Which of these statements best compares the pair of intersecting rays with the<span>angle</span> I'd say c because the common endpoint is the intersection. 
You might be interested in
What is the variable in Samuel is six inches taller than his brother Elijah.if Samuel is 48 inches tall,how tall is Elijah
Taya2010 [7]

Answer: Elijah would be 42 inches tall

Step-by-step explanation:

We all know that Samuel is 48 inches while Elijah is 6 inches shorter.

You subtract 6 from 48 to get 42.

Hopefully, this helped. :D

5 0
3 years ago
The prior probabilities for events A1 and A2 are P(A1) = 0.20 and P(A2) = 0.80. It is also known that P(A1 ∩ A2) = 0. Suppose P(
Umnica [9.8K]

Answer:

(a) A_1 and A_2 are indeed mutually-exclusive.

(b) \displaystyle P(A_1\; \cap \; B) = \frac{1}{20}, whereas \displaystyle P(A_2\; \cap \; B) = \frac{1}{25}.

(c) \displaystyle P(B) = \frac{9}{100}.

(d) \displaystyle P(A_1 \; |\; B) \approx \frac{5}{9}, whereas P(A_1 \; |\; B) = \displaystyle \frac{4}{9}

Step-by-step explanation:

<h3>(a)</h3>

P(A_1 \; \cap \; A_2) = 0 means that it is impossible for events A_1 and A_2 to happen at the same time. Therefore, event A_1 and A_2 are mutually-exclusive.

<h3>(b)</h3>

By the definition of conditional probability:

\displaystyle P(B \; | \; A_1) = \frac{P(B \; \cap \; A_1)}{P(B)} = \frac{P(A_1 \; \cap \; B)}{P(B)}.

Rearrange to obtain:

\displaystyle P(A_1 \; \cap \; B) = P(B \; |\; A_1) \cdot  P(A_1) = 0.25 \times 0.20 = \frac{1}{20}.

Similarly:

\displaystyle P(A_2 \; \cap \; B) = P(B \; |\; A_2) \cdot  P(A_2) = 0.80 \times 0.05 = \frac{1}{25}.

<h3>(c)</h3>

Note that:

\begin{aligned}P(A_1 \; \cup \; A_2) &= P(A_1) + P(A_2) - P(A_1 \; \cap \; A_2) = 0.20 + 0.80 = 1\end{aligned}.

In other words, A_1 and A_2 are collectively-exhaustive. Since A_1 and A_2 are collectively-exhaustive and mutually-exclusive at the same time:

\displaystyle P(B) = P(B \; \cap \; A_1) + P(B \; \cap \; A_2) = \frac{1}{20} + \frac{1}{25} = \frac{9}{100}.

<h3>(d)</h3>

By Bayes' Theorem:

\begin{aligned} P(A_1 \; |\; B) &= \frac{P(B \; | \; A_1) \cdot P(A_1)}{P(B)} \\ &= \frac{0.25 \times 0.20}{9/100} = \frac{0.05 \times 100}{9} = \frac{5}{9}\end{aligned}.

Similarly:

\begin{aligned} P(A_2 \; |\; B) &= \frac{P(B \; | \; A_2) \cdot P(A_2)}{P(B)} \\ &= \frac{0.05 \times 0.80}{9/100} = \frac{0.04 \times 100}{9} = \frac{4}{9}\end{aligned}.

6 0
3 years ago
Please help me with this probability question.
Vikki [24]

Answer:

1.6 please correct me if im wrong by commenting

Step-by-step explanation:

6 0
3 years ago
Calculate the average time the car took to reach each checkpoint. Record the average time in Table D of your Student Guide. The
zhuklara [117]

The average time the car took to reach each checkpoint are:

  • 2.07
  • 3.16
  • 4.11
  • 4.92

<h3>Average time</h3>

Given:

Time  interval

1              2      3           4

2.02    3.17   4.12    4.93

2.05    3.07  3.98   4.81

2.15    3.25  4.23    5.01

Hence:

First quarter checkpoint

Average time= (2.02 + 2.05 + 2.15) / 3

Average time=6.22/3

Average time= 2.07s

Second quarter checkpoint

Average time= (3.17 +3.07 + 3.25) / 3

Average time=9.49/3

Average time = 3.16 s

Third quarter check point

Average time= (4.12 + 3.98 + 4.23) / 3

Average time=12.33/3

Average time= 4.11 s

Fourth quarter check point

Average time = (4.93 + 4.81 + 5.01) / 3

Average time=14.75/3

Average time= 4.917 s

Average time=4.92s (Approximately)

Therefore the average time the car took to reach each checkpoint are: 2.07, 3.16, 4.11, 4.92.

Learn more about average time here:brainly.com/question/19136062

#SPJ1

6 0
2 years ago
Find the perimeter. use 3.14 for pi
Mamont248 [21]

Answer: 27.42 units

Step-by-step explanation:

6 + 6 + 6 = 18

C= 1/2 3.14d

1/2 x 3.14 x 6

3.14 x 3

=9.42

18+9.42 = 27.41

4 0
3 years ago
Other questions:
  • which equation represents a line that passes through (4,1/3) and has a slope of 3/4? A. Y-3/4=1/3 (x-4) B. Y-1/3=3/4 (x-4) C. Y-
    14·2 answers
  • I need help of solving x
    8·2 answers
  • The triangle and square shown have the same perimeter. what expression represents of the triangle in terms of x? Give your awnse
    8·1 answer
  • Help me and show your work.
    10·1 answer
  • Factorize 8(a+b)^2-6(a+b)-9​
    8·1 answer
  • Write the equation of the line fully simplified slope-intercept form.
    12·1 answer
  • Thirty 5 points for this answer. no links.<br> 4(a-2) = 2(a-4) + 2a
    8·2 answers
  • PLEASE HELPPPPPPPPP MEEE!​
    10·2 answers
  • What is the answer for -5x-8=3x+10
    9·1 answer
  • Write a fraction that is equivalent to 3/4 with a denominator of 20
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!