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2 years ago

Find the length of a diagonal of a square of side 17cm

Mathematics

1 answer:

Ronch [10]2 years ago

8 0

Answer:

2*17²=length=578

apply Pythagoras theorem

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Pls help me with this

grin007 [14]

Answer:

k=8

Step-by-step explanation:

divide both sides by 11 to get nine

then subtract 1 from both sides to get

7 0

2 years ago

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

A roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 s

belka [17]

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

= 21 + 3

= 24

Now, the required equation is

$4s=24$

Therefore, the required equation is $4s=24$ .

Divide both sides by 4.

$s=\dfrac{24}{4}$

$s=6$

Therefore, the number of seats in each car is 6.

6 0

3 years ago

Expand <br> (–5a^2+2a+3)(4a^2–2a+1)

fiasKO [112]

Answer:

Step-by-step explanation:

a • (a - 2) • (2a - 1)

6 0

2 years ago

What equation represents the line that passes through the points(6,-3) and (-4,-9)?

marysya [2.9K]

M = - 3 + 9 / 6 + 4
m = 6 / 10
m = 3/5

- 3 = 3/5 ( 6 ) + c
- 15 = 18 + 5c
5c = - 33
c = - 33/5
y = 3/5x - 33/5

8 0

3 years ago