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
Bas_tet [7]
3 years ago
15

Name a pair of adjacent complementary angles

Mathematics
1 answer:
Art [367]3 years ago
6 0

Step-by-step explanation:

\angle \: ABD = 30 \degree   \\ and \\  \angle \:CBD = 60 \degree \\ are \: a \: pair \: of \: adjacent \: complementary \: \\  angles.

You might be interested in
Please help me......
MrMuchimi

Answer:

it's answer is 107

Step-by-step explanation:

firstly

x+28+45=180

x+73=180

x=180 subtract 73 = 107

5 0
3 years ago
Read 2 more answers
if an object is shot with an initial velocity , vo, in feet per second(ft/s) the velocity, v, in ft/s is given by the formula v=
Katyanochek1 [597]
We are given the information that whent=3, 
7 0
2 years ago
Solve the inequality for y.<br> 7y-24&lt;-2(3-8y)
kupik [55]
Answer :!7/27/$/$/$$/
4 0
2 years ago
23% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and as
zlopas [31]

Answer:

a) There is a 29.42% probability that the number of college students who say they use credit cards because of the rewards program is exactly two.

b) There is a 41.37% probability that the number of college students who say they use credit cards because of the rewards program is more than two.

c) There is a 69.49% probability that the number of college students who say they use credit cards because of the rewards program is between two and five, inclusive.

Step-by-step explanation:

There are only two possible outcomes. Either the student use credit cards because of the rewards program, or they use for other reason. So, we can solve this exercise using the binomial probability distribution.

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}.\pi^{x}.(1-\pi)^{n-x}

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

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

And \pi is the probability of X happening.

In this problem, we have that:

10 students are randomly selected, so n = 10.

23% of college students say they use credit cards because of the rewards program. This means that \pi = 0.23

(a) exactly two

This is P(X = 2).

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{10,2}.(0.23)^{2}.(0.77)^{8} = 0.2942

There is a 29.42% probability that the number of college students who say they use credit cards because of the rewards program is exactly two.

(b) more than​ two

This is P(X > 2).

Either a value is larger than two, or it is smaller of equal. The sum of the decimal probabilities of these events must be 1. So:

P(X \leq 2) + P(X > 2) = 1

P(X > 2) = 1 - P(X \leq 2)

In which

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

So

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 0) = C_{10,0}.(0.23)^{0}.(0.77)^{10} = 0.0733

P(X = 1) = C_{10,1}.(0.23)^{1}.(0.77)^{9} = 0.2188

P(X = 2) = C_{10,2}.(0.23)^{2}.(0.77)^{8} = 0.2942

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0733 + 0.2188 + 0.2942 = 0.5863

P(X > 2) = 1 - P(X \leq 2) = 1 - 0.5863 = 0.4137

There is a 41.37% probability that the number of college students who say they use credit cards because of the rewards program is more than two.

(c) between two and five inclusive.

This is

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}

P(X = 2) = C_{10,2}.(0.23)^{2}.(0.77)^{8} = 0.2942

P(X = 3) = C_{10,3}.(0.23)^{3}.(0.77)^{7} = 0.2343

P(X = 4) = C_{10,4}.(0.23)^{4}.(0.77)^{6} = 0.1225

P(X = 5) = C_{10,3}.(0.23)^{5}.(0.77)^{5} = 0.0439

So

P = P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.2942 + 0.2343 + 0.1225 + 0.0439 = 0.6949

There is a 69.49% probability that the number of college students who say they use credit cards because of the rewards program is between two and five, inclusive.

8 0
3 years ago
Which of the following statements is true?
siniylev [52]
A isnt correct because radius goes from center of circle to any point on circle. Chord on the other hand connects 2 points on circle...

B is also false. Secant goes through circle while tangent only touches it in one point. 

C is correct. Chord connects as said before 2 points on circle and in some cases it can connect 2 points in such way that it goes through center which is diameter.

D is not correct because chord doesnt have to pass trought center of circle in order to connect any 2 points on circle.
8 0
3 years ago
Other questions:
  • Guy wants to swim 500 meters. After 75 meters, he takes a break. What percent of his goal has he already met?
    7·1 answer
  • Evaluate. 12+4⋅3−15 Enter your answer in the box.
    6·2 answers
  • Manuel noticed that his cellphone bill reflected a monthly fee of
    13·1 answer
  • This years “Dream of a lifetime” lottery sold 50,000 tickets and gave away 5,000 prizes including one grant prize
    15·1 answer
  • Sophia Thompson is 12 years old. Her mother is 5 years less than four times as old as Sophia. How old is mrs. Thompson? Please e
    6·1 answer
  • What is the answer?
    13·1 answer
  • If y is directly proportional to x square and y equal 1/8 when x = 1/2 what is the positive value of x when y it was 9/2?
    12·1 answer
  • Simplify 2(a-3)/(a-4)(a-5)+(a-1)/(3-a)(a-4)+(a-2)/(5-a)(a-3)​
    13·1 answer
  • Ask questions slove for x 5(x-3)=15
    10·1 answer
  • The table shows ordered pairs of the function y = 16 0. 5x. A 2-column table with 6 rows. The first column is labeled x with ent
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!