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Amanda [17]
4 years ago
15

Measure of two angles is 80 degrees and 55 degrees.Are these supplementary angles?

Mathematics
1 answer:
Contact [7]4 years ago
8 0

Answer:

No

Step-by-step explanation:

No, because supplementary angles add up to 180 degrees, and these two do not.

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What are the focus and the directrix of the graph of x=1/24 y^2
vladimir2022 [97]
The given equation of parabola is:

x= \frac{1}{24}  y^{2}

Part 1) Focus of the Parabola

In order to find the focus and equation of directrix, we first have to convert the given equation to standard form of parabola.

24x= y^{2}  \\  \\ 
4*6(x)= y^{2} \\  \\ 
(y-0)^{2} =4*6*(x-0)

The focus of the general equation of parabola shown below lies at (h+p, k)
(y-k)^{2}=4p(x-h)

Comparing our equation to the general equation we get:
h=0
k=0
p=6

So the focus of given parabola will be (0+6, 0) = (6,0)

Part 2) Directix of the Parabola

The directrix of the general parabola shown above lies at:

x = h - p
Using the values of h and p, we get

x = 0 - 6

x = -6

So, the directrix of the given parabola has the equation x = -6
4 0
4 years ago
CAN SOMEONE PLEASE HELP ME WITH THIS QUESTION???
tangare [24]

Answer:

The complete answer is explained below.

Step-by-step explanation:

The problem is demanding to simply determine the number of years each color light would last.

We know the following information from the question:

  • As it is clear that a red light remains TURNED ON 50% of the time.
  • Green remains TURNED ON 42% of the time
  • Yellow remains TURNED ON 8% of the time.

Also the bulbs for each color are LED and are designed to last 100,000 hours. So, each light does last 100,000 hours.

lets make conversions

As

1\:day\:=\:24\:hours  

1\:year\:=\:365\:days

Dividing 100,000 hours by 24 hours would bring 4166.67 days

Dividing 4166.67 days by 365 days would bring 11.4 years, meaning 11 years and 4 months.

Keywords: light, conversion, day, hours

Learn more about conversions from brainly.com/question/402716

#learnwithBrainly

8 0
3 years ago
The Amazing Art Museum has 50 exhibits. On Monday, 22% of them were closed for cleaning. How many exhibits were closed on Monday
Tpy6a [65]

Answer:

B) 11

Step-by-step explanation:

To find the % of something simply turn 22% to a decimal (.22) then times it by the number you want .22 * 50 = <em><u>11</u></em>

5 0
3 years ago
Read 2 more answers
A student takes a multiple-choice test that has 11 questions. Each question has five choices. The student guesses randomly at ea
marissa [1.9K]

Answer:

a) P(6) = 0.0097

b) P(More than 3) = 0.1611

Step-by-step explanation:

For each question, there are only two possible outcomes. Either it is guessed correctly, or it is not. Questions are independent of each other. So we use the binomial probability distribution to solve this question.

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.

A student takes a multiple-choice test that has 11 questions.

This means that n = 11

Each question has five choices.

This means that p = \frac{1}{5} = 0.2

(a) Find P (6)

This is P(X = 6).

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

P(X = 6) = C_{11,6}.(0.2)^{6}.(0.8)^{5} = 0.0097

P(6) = 0.0097

(b) Find P (More than 3).

Either P is 3 or less, or it is more than three. The sum of the probabilities of these outcomes is 1. So

P(X \leq 3) + P(X > 3) = 1

We want P(X > 3). So

P(X > 3) = 1 - P(X \leq 3)

In which

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

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

P(X = 0) = C_{11,0}.(0.2)^{0}.(0.8)^{11} = 0.0859

P(X = 1) = C_{11,1}.(0.2)^{1}.(0.8)^{10} = 0.2362

P(X = 2) = C_{11,2}.(0.2)^{2}.(0.8)^{9} = 0.2953

P(X = 3) = C_{11,3}.(0.2)^{3}.(0.8)^{8} = 0.2215

P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0859 + 0.2362 + 0.2953 + 0.2215 = 0.8389

Then

P(X > 3) = 1 - P(X \leq 3) = 1 - 0.8389 = 0.1611

P(More than 3) = 0.1611

8 0
4 years ago
Work out the value of (2x10^4)+(7x10^3) in standard form
nlexa [21]

Answer:

<h2><u>27000x</u></h2>

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
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