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3 years ago

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The size of the largest angle in a triangle is 3 times the size of the smallest angle. The third angle is 10 more than the small

est angle. Work out the size, in degrees, of each angle in the triangle.

1 answer:

Yakvenalex [24]3 years ago

3 0

Answer:

largest angle=102 smallest angle=34 last angle=44

Step-by-step explanation:

there are 180 degrees in all triangles so 102+44+34=180

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The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a m

castortr0y [4]

Answer:

a) 50.34% probability that the arrival time between customers will be 7 minutes or less.

b) 24.42% probability that the arrival time between customers will be between 3 and 7 minutes

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \mu e^{-\mu x}$

In which $\mu = \frac{1}{m}$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\mu x}$

The probability of finding a value higher than x is:

$P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}$

Mean of 10 minutes:

This means that $m = 10, \mu = \frac{1}{10} = 0.1$

A. What is the probability that the arrival time between customers will be 7 minutes or less?

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

50.34% probability that the arrival time between customers will be 7 minutes or less.

B. What is the probability that the arrival time between customers will be between 3 and 7 minutes?

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3)$

$P(X \leq x) = 1 - e^{-\mu x}$

$P(X \leq 7) = 1 - e^{-0.1*7} = 0.5034$

$P(X \leq 3) = 1 - e^{-0.1*3} = 0.2592$

$P(3 \leq X \leq 7) = P(X \leq 7) - P(X \leq 3) = 0.5034 - 0.2592 = 0.2442$

24.42% probability that the arrival time between customers will be between 3 and 7 minutes

3 0

3 years ago

Given the right triangle below, what is the length of the hypotenuse

Leviafan [203]

Answer:

5 sqrt(10) = c

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

9^2 + 13^2 = c^2

81 + 169 = c^2

250 = c^2

Take the square root of each side

sqrt(250) = c

sqrt(25) sqrt(10) = c

5 sqrt(10) = c

8 0

3 years ago

What is the volume of a regular pyramid having a base area of 24 in.² and a height of 6 inches?

Assoli18 [71]

Answer:

48 in³

Step-by-step explanation:

The volume (V) of a pyramid is calculated as

V = $\frac{1}{3}$ × area of base × height

here area of base = 24 and height = 6, so

V = $\frac{1}{3}$ × 24 × 6 = 8 × 6 = 48 in³

3 0

3 years ago

Please someone help me out on this

valentinak56 [21]

Answer:

I think it is C

Step-by-step explanation:

im sorry if i am wrong

6 0

3 years ago

Read 2 more answers

A polynomial function with a leading coefficient of 1 and multiplicity 1 for each root has these zeros:

Gala2k [10]

Answer:

1.

$x - 2 \sqrt{11}$

2.

$x + 2 \sqrt{11}$

5.

$x - 4$

Step-by-step explanation:

It is correct on Edge!

Give thanks please!

6 0

3 years ago