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Thepotemich [5.8K]
3 years ago
15

Which pair of angles in the figure creates a straight angle?

Mathematics
1 answer:
dsp733 years ago
8 0

Answer:

angle C and angle D

Step-by-step explanation:

when those two angles are added together, they are to give a total angle of 180°

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If the two lines intersect at (P,q) what is the value of p+q
serg [7]

Answer:

do you have any answer options?

6 0
3 years ago
In a call center that stays open all the time, calls arrive as a poisson process with a mean rate of 0.3 complaints per hour.(a)
DENIUS [597]

The probability the 51st call arriaves within 150hours is 0.0431, the probability the next call arrives within the next 2 hours 0.5488, the probability the sum of these 50 numbers is less than 356 is 0.4165.

Data;

  • Mean rate = 0.3
  • x = 50
  • standard deviation = ?

<h3>Poission Rule</h3>

Using poission formula,

P(x=x) = \frac{e^-^\lambda - \lambda^x}{x!}\\\lambda = 0.3 per minute

Let's substitute the values into the formula.

For 50 calls in 150 hours

For 150 hours = x = 0.3 * 150 = 45

p(x=50) = \frac{e^-^4^5 * 45^5^0}{50!} = 0.0431

b)

The probability the next call arrives after 2 hours.

\lambda = 0.3 * 2 = 0.6\\p(x=0) = \frac{e^-^0^.^6 * 0.6^0}{0!} = 0.5488

c)

The number of calls recieved each day is recorded for 50 consecutive days.

for 50 days;

\lambda = 0.3 * 50 * 24 = 360

The mean = 360

The standard deviation is given as

S.D = \sigma =\sqrt{360} = 18.974\\

The probability the sum of these 50 number is less than 356 is

p = (x < 356) = z = \frac{356 - 360}{18.974} = -0.2108\\p(z < -0.2108) = 0.4165

Learn more on poission formula here;

brainly.com/question/7879375

3 0
3 years ago
4. A local DVD rental machine rents
Mrrafil [7]

It takes 16 movie rentals for both options to be the same  price

<u>Solution:</u>

Given that, A local DVD rental machine rents movies out to customers for $5.75 per movie.  

A digital movie company allows you to rent movies for $3.25 but requires a membership fee of $40.  

We have to find how many movie rentals will it take for both options to be the same price?  

Now, let the number of movies rented be "n"

Then, according to the given information,

\begin{array}{l}{5.75 \times n=3.25 \times n+40} \\\\ {5.75 n=3.25 n+40} \\\\ {5.75 n-3.25 n=40} \\\\ {2.50 n=40} \\\\ {n=\frac{40}{2.5}=16}\end{array}

Hence, it takes 16 movies to be the same price for both options.

3 0
4 years ago
Show two ways three people could share a 5 segment chewy worm
MissTica

Answer:

Each person would get 1/5 of 3 segments.

Each person would get 3/5 of a segment.  

Step-by-step explanation:

(3) (1/5) = 3/5 segments

6 0
3 years ago
Find 4 x f(x) if f(x)=-3x-8
VLD [36.1K]
Replace f(x) in the equation with what it equals:

4 \times (-3x - 8)

Distribute 4 to each term in parentheses:

4 \times -3x = -12x
4 \times -8 = -32

-12x - 32

The answer is C.


7 0
3 years ago
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