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astraxan [27]
3 years ago
8

What is the measure of angle x?

Mathematics
2 answers:
Kitty [74]3 years ago
8 0

The two horizontal lines are parallel.

This makes the 80 degree angle and the angle ox x and 20 degrees are alternate interior angles and are the same.

This means x + 20 needs to equal 80.

X = 80-20 = 60 degrees.

klasskru [66]3 years ago
5 0

Answer: it measures 60˚

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A cable car starts off with n riders. The times between successive stops of the car are independent exponential random variables
nikitadnepr [17]

Answer:

The distribution is \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

Solution:

As per the question:

Total no. of riders = n

Now, suppose the T_{i} is the time between the departure of the rider i - 1 and i from the cable car.

where

T_{i} = independent exponential random variable whose rate is \lambda

The general form is given by:

T_{i} = \lambda e^{- lambda}

(a) Now, the time distribution of the last rider is given as the sum total of the time of each rider:

S_{n} = T_{1} + T_{2} + ........ + T_{n}

S_{n} = \sum_{i}^{n} T_{n}

Now, the sum of the exponential random variable with \lambda with rate \lambda is given by:

S_{n} = f(t:n, \lamda) = \frac{\lambda^{n}e^{- \lambda t}t^{n - 1}}{(n - 1)!}

5 0
3 years ago
Attendances at a high school's basketball games were recorded and found to have a sample mean and variance of 470 and 16, respec
yanalaym [24]

Answer:

for the second question u have asked

Step-by-step explanation:

5 0
2 years ago
How many solutions does the following system have?<br> y= 5x + 8<br> y = 5x + 3
NARA [144]

Answer:

This system has no solutions.

Step-by-step explanation:

If we try to solve:

  1. 5x + 8 = 5x + 3
  2. 5x + 8 - 3 = 5x
  3. 5x + 5 = 5x
  4. 5x - 5x + 5 = 5x - 5x
  5. 5 = 0

Since there are no x values left over and the remaining solution is zero, there is no solution for this equation.

Hope this helps!!

4 0
3 years ago
Please help me with this:(
dolphi86 [110]

Answer:

Y = 32.7°

Step-by-step explanation:

We will apply the Cosine law in the given triangle XYZ,

x = 90 ft

y = 55 ft

z = 50 ft

We have to find the measure of angle Y.

y² = x² + z² - 2xzCosY

(55)² = (90)² + (50)² - 2(90)(50)cosY

3025 = 8100 + 2500 - 9000.cosY

9000.cosY = 10600 - 3025

cosY = \frac{7575}{9000}

        = 0.84167

Y = \text{cos}^{-1}(0.84167)

Y = 32.68 ≈ 32.7°

Therefore, measure of angle Y = 32.7°

5 0
3 years ago
Factor the equation 2x^2+5x+3
lozanna [386]

Answer:

(2x+3)(x+1)

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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