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
wariber [46]
3 years ago
7

Solve for these letters X Y Z

Mathematics
1 answer:
tester [92]3 years ago
7 0
Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
You might be interested in
Which of the following is a monomial?
Naya [18.7K]

Mono (1) nomial == 1 term.

11x^2 is 1 term in combination so B is your answer.

D. is not, its a binomial along with C. and A.

5 0
3 years ago
An airline experiences a no-show rate of 6%. What is the maximum number of reservations that it could accept for a flight with a
LekaFEV [45]

Let Xb be the number of reservations that are accommodated. Xb has the binomial distribution with n trials and success probability p = 0.94

In general, if X has the binomial distribution with n trials and a success probability of p then
P[Xb = x] = n!/(x!(n-x)!) * p^x * (1-p)^(n-x)
for values of x = 0, 1, 2, ..., n
P[Xb = x] = 0 for any other value of x.

To use the normal approximation to the binomial you must first validate that you have more than 10 expected successes and 10 expected failures. In other words, you need to have n * p > 10 and n * (1-p) > 10.

Some authors will say you only need 5 expected successes and 5 expected failures to use this approximation. If you are working towards the center of the distribution then this condition should be sufficient. However, the approximations in the tails of the distribution will be weaker espeically if the success probability is low or high. Using 10 expected successes and 10 expected failures is a more conservative approach but will allow for better approximations especially when p is small or p is large.

If Xb ~ Binomial(n, p) then we can approximate probabilities using the normal distribution where Xn is normal with mean μ = n * p, variance σ² = n * p * (1-p), and standard deviation σ

I have noted two different notations for the Normal distribution, one using the variance and one using the standard deviation. In most textbooks and in most of the literature, the parameters used to denote the Normal distribution are the mean and the variance. In most software programs, the standard notation is to use the mean and the standard deviation.

The probabilities are approximated using a continuity correction. We need to use a continuity correction because we are estimating discrete probabilities with a continuous distribution. The best way to make sure you use the correct continuity correction is to draw out a small histogram of the binomial distribution and shade in the values you need. The continuity correction accounts for the area of the boxes that would be missing or would be extra under the normal curve.

P( Xb < x) ≈ P( Xn < (x - 0.5) )
P( Xb > x) ≈ P( Xn > (x + 0.5) )
P( Xb ≤ x) ≈ P( Xn ≤ (x + 0.5) )
P( Xb ≥ x) ≈ P( Xn ≥ (x - 0.5) )
P( Xb = x) ≈ P( (x - 0.5) < Xn < (x + 0.5) )
P( a ≤ Xb ≤ b ) ≈ P( (a - 0.5) < Xn < (b + 0.5) )
P( a ≤ Xb < b ) ≈ P( (a - 0.5) < Xn < (b - 0.5) )
P( a < Xb ≤ b ) ≈ P( (a + 0.5) < Xn < (b + 0.5) )
P( a < Xb < b ) ≈ P( (a + 0.5) < Xn < (b - 0.5) )

In the work that follows X has the binomial distribution, Xn has the normal distribution and Z has the standard normal distribution.

Remember that for any normal random variable Xn, you can transform it into standard units via: Z = (Xn - μ ) / σ

In this question Xn ~ Normal(μ = 0.94 , σ = sqrt(0.94 * n * 0.06) )

Find n such that:

P(Xb ≤ 160) ≥ 0.95

approximate using the Normal distribution
P(Xn ≤ 160.5) ≥ 0.95

P( Z ≤ (160.5 - 0.94 * n) / sqrt(0.94 * n * 0.06)) ≥ 0.95

P( Z < 1.96 ) ≥ 0.95

so solve this equation for n

(160.5 - 0.94 * n) / sqrt(0.94 * n * 0.06) = 1.96

n = 164.396

n must be integer valued so take the ceiling and you have:

n = 165.

The air line can sell 165 tickets for the flight and accommodate all reservates at least 95% of the time

If you can understand that...

7 0
3 years ago
What is 5% interest added to $750
vivado [14]
750 plus 5% is 787.5
5 0
2 years ago
PLSS HELP!! Pentagon JKLMN is similar to pentagon VWXYZ. What is the measurement of angle W?
Tamiku [17]

Answer:

w= 150

x= 60

because when two pentagons are similar corresponding angles are congruent .

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
A statistician studies the relationship between income and the choice of individuals to attend college. He notices that during a
Gnoma [55]

The conclusion is is misleading because the extraneous variable, cost of tuition was not accounted for in the experiment.

<h3>What are the variables in this experiment?</h3>

The independent variable is the variable that the person carrying out an experiment changes or manipulates. This variable is income. The dependent variable is the variable that is being measured in an experiment. This variable is college enrolment.

The extraneous variable is the variable  that is not been researched in the experiment but it has the potential to influence the results of the experiment. This variable is the cost of tuition.

To learn more about independent variables, please check: brainly.com/question/26287880

#SPJ1

6 0
1 year ago
Other questions:
  • How many lines of symmetry does the figure have?<br><br><br> Which letter has rotational symmetry ?
    5·2 answers
  • Solve for x...<br><br> Z = 8(x-h) <br><br> X = ????<br><br> Please state what X is...
    5·2 answers
  • What is the slope of the line whose equation is 2x-4y=10??
    12·1 answer
  • Maria decided to take her family out for dinner at a restaurant the total cost was $96.00 She decided to leave the waiter a tip
    13·1 answer
  • Triangle a need to be rotated in a 90 degrees counterclockwise
    13·1 answer
  • To win the game, Elena has to roll an even number first and a number less than 3 second. Her probability of winning is StartFrac
    9·1 answer
  • Algebra Need Help Pls. Can someone explain to me how to do this?
    13·1 answer
  • Please tell me answer! i’ll give brainliest
    15·1 answer
  • GUYS PLEASE ANSWER THIS QUESTION IM DESPERATE
    8·1 answer
  • N= 4/5 (m+7) <br> help please (solve for m)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!