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
grigory [225]
3 years ago
7

In the diagram of movie theater seats, the incline of the floor, f, is parallel to the seats, s.

Mathematics
1 answer:
weqwewe [10]3 years ago
6 0

Answer:

16. x = 40

17. y = 15

Step-by-step explanation:

16. Given that f is parallel to s, therefore by the corresponding theorem and linear pair theorem, <1 + 3x = 180°

60° + 3x = 180° (substitution)

3x = 180° - 60° (Subtraction property of equality)

3x = 120°

x = 120/3 (division property of equality)

x = 40

17. Since f and s are parallel, therefore,

m<1 = (5y - 7)° (alternate interior angles are congruent)

68° = 5y - 7 (substitution)

68 + 7 = 5y (addition property of equality)

75 = 5y

75/5 = y (division property of equality)

15 = y

You might be interested in
A gardener will use up to 220 square feet for planting flowers and vegetables. She wants the area used for vegetables to be at l
geniusboy [140]
Hshahgsuzhshgdshhshsjushsgsgsjhdgdhdhhhgghvfdf
7 0
3 years ago
An article suggests that a poisson process can be used to represent the occurrence of structural loads over time. suppose the me
kirill115 [55]

Answer:

a) \lambda_1 = 2*2 = 4

And let X our random variable who represent the "occurrence of structural loads over time" we know that:

X(2) \sim Poi (4)

And the expected value is E(X) = \lambda =4

So we expect 4 number of loads in the 2 year period.

b) P(X(2) >6) = 1-P(X(2)\leq 6)= 1-[P(X(2) =0)+P(X(2) =1)+P(X(2) =2)+...+P(X(2) =6)]

P(X(2) >6) = 1- [e^{-4}+ \frac{e^{-4}4^1}{1!}+ \frac{e^{-4}4^2}{2!} +\frac{e^{-4}4^3}{3!} +\frac{e^{-4}4^4}{4!}+\frac{e^{-4}4^5}{5!}+\frac{e^{-4}4^6}{6!}]

And we got: P(X(2) >6) =1-0.889=0.111

c)  e^{-2t} \leq 2

We can apply natural log in both sides and we got:

-2t \leq ln(0.2)

If we multiply by -1 both sides of the inequality we have:

2t \geq -ln(0.2)

And if we divide both sides by 2 we got:

t \geq \frac{-ln(0.2)}{2}

t \geq 0.8047

And then we can conclude that the time period with any load would be 0.8047 years.

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

P(X=x)=\lambda e^{-\lambda x}

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution"

Solution to the problem

Let X our random variable who represent the "occurrence of structural loads over time"

For this case we have the value for the mean given \mu = 0.5 and we can solve for the parameter \lambda like this:

\frac{1}{\lambda} = 0.5

\lambda =2

So then X(t) \sim Poi (\lambda t)

X follows a Poisson process

Part a

For this case since we are interested in the number of loads in a 2 year period the new rate would be given by:

\lambda_1 = 2*2 = 4

And let X our random variable who represent the "occurrence of structural loads over time" we know that:

X(2) \sim Poi (4)

And the expected value is E(X) = \lambda =4

So we expect 4 number of loads in the 2 year period.

Part b

For this case we want the following probability:

P(X(2) >6)

And we can use the complement rule like this

P(X(2) >6) = 1-P(X(2)\leq 6)= 1-[P(X(2) =0)+P(X(2) =1)+P(X(2) =2)+...+P(X(2) =6)]

And we can solve this like this using the masss function:

P(X(2) >6) = 1- [e^{-4}+ \frac{e^{-4}4^1}{1!}+ \frac{e^{-4}4^2}{2!} +\frac{e^{-4}4^3}{3!} +\frac{e^{-4}4^4}{4!}+\frac{e^{-4}4^5}{5!}+\frac{e^{-4}4^6}{6!}]

And we got: P(X(2) >6) =1-0.889=0.111

Part c

For this case we know that the arrival time follows an exponential distribution and let T the random variable:

T \sim Exp(\lambda=2)

The probability of no arrival during a period of duration t is given by:

f(T) = e^{-\lambda t}

And we want to find a value of t who satisfy this:

e^{-2t} \leq 2

We can apply natural log in both sides and we got:

-2t \leq ln(0.2)

If we multiply by -1 both sides of the inequality we have:

2t \geq -ln(0.2)

And if we divide both sides by 2 we got:

t \geq \frac{-ln(0.2)}{2}

t \geq 0.8047

And then we can conclude that the time period with any load would be 0.8047 years.

3 0
3 years ago
Question 1 (Essay Worth 10 points)
Shalnov [3]

✿————✦————✿————✦————✿

The answer is: <u>2(k2−4k)(2c+5)</u>

✿————✦————✿————✦————✿

Step:

* Consider 2ck2+5k2−8ck−20k. Do the grouping 2ck2+5k2−8ck−20k=(2ck2+5k2) +(−8ck−20k), and factor out k2 in the first and −4k in the second group.

* Factor out the common term 2c+5 by using the distributive property.

* Rewrite the complete factored expression.

✿————✦————✿————✦————✿

6 0
2 years ago
Please do your best to give me the correct answer! thank you so much! :)
Nataliya [291]
Answer: m= -1/8

Good luck !
6 0
2 years ago
Joseph has a job walking dogs and gets paid per dog. He needs to walk 45 dogs to earn enough money to pay for his soccer team fe
rusak2 [61]

Using proportions, it is found that it will take him 22.5 hours to walk the 45 dogs.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

He walks 3 dogs in 1 hour and 30 minutes, we means that the time in hours it takes for him to walk a dog is:

t = 1.5/3 = 0.5 hours.

Hence the time it will take him to walk 45 dogs is given by:

45 x 0.5 = 22.5 hours.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

8 0
1 year ago
Other questions:
  • What are two numbers that multiply to get -224 and add to get -52
    5·1 answer
  • Evaluate f(x) = -x^2 +1 for x=-3
    12·1 answer
  • The figure shows a carpeted room. How many square feet of the room are carpeted?
    5·2 answers
  • Help me ASAP for this question
    8·2 answers
  • Which expressions are equivalent to 2^5.2^4? Check all that apply.
    10·2 answers
  • Please help answer!!! I am so lost <br> 3. use the diagram shown to calculate m
    11·1 answer
  • PLEASE HELP!! ASAP WILL GIVE BRAIN!! AFTER SOLVING QUESTION, GIVE THE REASON(SSS
    6·1 answer
  • What is the slope of the line y = 2 x + 5 ? PLS HELP ILL MARK BRAINLEST
    15·1 answer
  • The first five terms in a pattern are shown below. -0.5, -0.25, 0 , 0.25, 0.5, . . . Which equation represents the pattern?
    5·1 answer
  • After a baby was born, he began to gain weight at a rate of 1.5 pounds per month. The
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!