If the two angles of the triangle are equal. Well yes, because if the angles are both 50 degrees then the other angle will be 30. but it also depends on the shape of the triangle if they differ.

5 0

3 years ago

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If a model scale is 1 foot to 5 feet, how long will the model be

dalvyx [7]

The model will be 5 times longer that stated.

E.g if the model is said to be 10 feet long using this scale.

10*5=50

50 feet

6 0

3 years ago

Cars arrive randomly at a tollbooth at a rate of 20 cars per 10 minutes during rush hour. What is the probability that exactly f

Ugo [173]

Answer:

3.78% probability that exactly five cars will arrive over a five-minute interval during rush hour

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

In which

x is the number of sucesses

e = 2.71828 is the Euler number

$\mu$ is the mean in the given time interval.

20 cars per 10 minutes

So for 5 minutes, $\mu = 10$

What is the probability that exactly five cars will arrive over a five-minute interval during rush hour?

This is P(X = 5).

$P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}$

$P(X = 5) = \frac{e^{-10}*(10)^{5}}{(5)!} = 0.0378$

3.78% probability that exactly five cars will arrive over a five-minute interval during rush hour

7 0

3 years ago

Solve for i in the following equation by means of linear interpolation<br>(1 + i)10 – 1<br>= 25

docker41 [41]

Answer:

$i=1.6$

Step-by-step explanation:

The given equation is

$(1+i)10-1=25$

To solve for $i$ , first, we need to sum 1 unit to each side of the equation.

$(1+i)10-1+1=25+1\\(1+i)10=26$

Then, we divide the equation by 10

$\frac{(1+i)10}{10} =\frac{26}{10} \\1+i=2.6$

Finally, we subtract each side with -1

$1+i-1=2.6-1\\i=1.6$

Therefore, the solution to the given equation is $i=1.6$

4 0

3 years ago