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schepotkina [342]
3 years ago
12

5. Find the value of x. (x+16) (4x-5)​

Mathematics
1 answer:
Dimas [21]3 years ago
3 0

Answer:

x = 7

Step-by-step explanation:

Set the equations equal to each other, since the two angles are congruent.

x + 16 = 4x - 5 now solve

21 = 3x

x = 7

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The sutton police department must write, on average, 6 tickets a day to keep department revenues at budgeted levels. suppose the
lakkis [162]
The Poisson distribution defines the probability of k discrete and independent events occurring in a given time interval.
If λ = the average number of event occurring within the given interval, then
P(k \, events) = e^{-\lambda } ( \frac{\lambda ^{k}}{k!} )

For the given problem,
λ = 6.5, average number of tickets per day.
k = 6, the required number of tickets per day
The Poisson distribution is
P(k \, tickets/day)=e^{-6.5} ( \frac{6.5 ^{k}}{k!} )
The distribution is graphed as shown below.

Answer: 
The mean is λ = 6.5 tickets per day, and it represents the expected number of tickets written per day.
The required value of k = 6 is less than the expected value, therefore the department's revenue target is met on an average basis.

8 0
3 years ago
A woman jogs for 2 km at 8 km/h and then walks for 2 km
Artemon [7]

Answer:

  6 6/7 km/h

Step-by-step explanation:

The relations between speed, time, and distance are ...

  time = distance/speed

  speed = distance/time

__

So, to find the average speed, we need to know the total distance and the total time. The distances are given, but we need to compute the times.

  time jogging = (2 km)/(8 km/h) = 1/4 h

  time walking = (2 km)/(6 km/h) = 1/3 h

Then the woman's average speed is ...

  average speed = (total distance)/(total time) = (2 km + 2 km)/(1/4 h + 1/3 h)

  = (4 km)/(7/12 h) = 48/7 km/h

  = 6 6/7 km/h

3 0
2 years ago
Find the perimeter of the triangle.​
PtichkaEL [24]

Answer:

Perimeter of the Triangle

( {x}^{2}  - 5x + 13) + (2 {x}^{2}  - x + 19) + ( {x}^{2}  + 3x + 21) \\ =(1 + 2 + 1) {x}^{2}  + ( - 5 - 1 + 3)x + (13 + 19 + 21) \\ =(4 {x}^{2}  - 3x + 53) \: units

7 0
2 years ago
HELP PLSSSS!!!
Bumek [7]

Answer:

6

Step-by-step explanation:

60 divided by 10

3 0
3 years ago
Read 2 more answers
A teacher would like to estimate the mean number of steps students take during the school day. To do so, she selects a random sa
Helga [31]

Answer:

The answer is "It would decrease, but not necessarily by 8%".

Step-by-step explanation:

They know that width of the confidence level is proportional to a confidence level. As just a result, reducing the confidence level decreases the width of a normal distribution, but not with the amount of variance in the confidence level. As just a result, when a person teaches a 90% standard deviation rather than a 98 percent normal distribution, the width of the duration narrows.

6 0
3 years ago
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