1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
serious [3.7K]
2 years ago
13

a swimming pool is 1/3 full of water. After a period of heavy rain, the pool is 5/8 full. If the rain added 840 litres of water,

calculate the total amount of water that the pool can hold?
Mathematics
1 answer:
olga nikolaevna [1]2 years ago
6 0

................. .........

You might be interested in
A car that travels along the highway to Denver at a steady speed. When it begins, it is 300 miles from Denver. After 3 hours, it
umka21 [38]

Answer: y=-40x+300

Step-by-step explanation:

This car follows a line, hence its motion can be modeled by the Line equation.

In fact, we already have two points of the line, if we call x the time in hours and y the traveled distance in miles:

Point 1: (x_{1},y_{1})=(0,300)

Since we are told the car's initial position is 300 miles in the time 0 h

Point 2: (x_{2},y_{2})=(3,180)

Since we are told the car's final position is 180 miles after 3h

<u />

<u>Let's find the Slope m: </u>

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m=-40  This is the slope of the line

Now, the equation of the line is:

y=mx+b

We already know the slope, now we have to find the intersection point with the y-axis (b) with any of the given points. Let's choose Point 1: (x_{1},y_{1})=(0,300)

300=-40(0)+b

Isolating b:

b=-300

Then, the equation of the line is:

y=-40 x+300

7 0
3 years ago
Read 2 more answers
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
Whats the value of 3√64
d1i1m1o1n [39]
4 because 4 time 4 time 4 is equal to 64
8 0
3 years ago
Which strategies can be used to solve this problem?
Y_Kistochka [10]
DUse logical reasoning. Combine the totals for cars painted in the first two years (5,000 + 7,213). Subtract 8,201 (cars painted in the third year) from the sum to get the answer.
7 0
3 years ago
2x+9=1x-5 what is x?
Vlada [557]

Answer:

2x+9=1x-5

2x-1x=-5-9

x=-14

4 0
1 year ago
Read 2 more answers
Other questions:
  • The table represents the function f(x).
    12·1 answer
  • Help me. Jsjsbeisbehebeeueebejebeheheheeheh
    13·1 answer
  • 9x-4x&lt;3+-11-2 how to do this
    8·2 answers
  • Please help me with this
    13·1 answer
  • How does the structure of a leaf enable photosynthesis to take place?
    7·1 answer
  • Work out<br> a) 4 1/3x6 <br> B) 2 3/5 x 3 1/3 <br><br><br> Give Answers as mixed numbers
    7·1 answer
  • Rebecca is comparing two prices of peanut
    7·1 answer
  • A = 2b so what is the value of b-a=?<br>​
    14·2 answers
  • John must pay a 8.25% tax on his bill. If the bill was $45, how much did he pay for taxes? (Round your answer to the nearest cen
    6·1 answer
  • Find the value of 15/4 / 5/8. Show your reasoning.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!