Mathematics College

korinn fills 1/6 of a water bottle in 1/4 of a minute. how much time, in minutes, does it take her to fill the bottle

Answers

Answer 1

Answer:

1.5 minutes to fill a whole bottle.

Step-by-step explanation:

1. Based on the given information, set up a proportion;

Given;

1/6 of a bottle was filled in 1/4 minute

Equation;

1/6 : 1/4

2. Solve the equation;

1/6 : 1/4

Multiply both sides by 6, to make it such that the whole bottle is filled,

1/6 : 1/4

*6 *6

1 : 6/4

Simplify

1 : 3/2

1.5 minutes to fill a whole bottle.

Related Questions

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years. a. Find the probability that a cat will live to be older than 14 years. b. Find the probability that a cat will live between 14 and 18 years. c. If a cat lives to be over 18 years, would that be unusual? Why or why not? d. How old would a cat have to be to be older than 90% of other cats?

Answers

Answer

a. 0.856

b. 0.78071

c. It is not unusual

d. 13.65 years old

Step-by-step explanation:

The life span of a domestic cat is normally distributed with a mean of 15.7 years and a standard deviation of 1.6 years.

We solve this question using z score formula:

z = (x-μ)/σ, where

x is the raw score

μ is the population mean

σ is the population standard deviation.

a. Find the probability that a cat will live to be older than 14 years.

For x > 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x<14) = 0.144

P(x>14) = 1 - P(x<14) = 0.856

b. Find the probability that a cat will live between 14 and 18 years.

For x = 14 years

z = 14 - 15.7/1.6

z = -1.0625

Probability value from Z-Table:

P(x = 14) = 0.144

For x = 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x = 18) = 0.92471

The probability that a cat will live between 14 and 18 years is calculated as:

P(x = 18) - P(x = 14)

0.92471 - 0.144

= 0.78071

c. If a cat lives to be over 18 years, would that be unusual? Why or why not?

For x > 18 years

z = 18 - 15.7/1.6

z= 1.4375

Probability value from Z-Table:

P(x<18) = 0.92471

P(x>18) = 1 - P(x<18) = 0.075288

Converting this to percentage:

0.075288 × 100 = 7.5288%

Hence, 7.5288% of the cats live to be over 18 years. Hence, it is not unusual.

d. How old would a cat have to be to be older than 90% of other cats?

From the question above, 10% of the cats would be older than 90% of other cats.

Hence, we find the z score of the 10th percentile

= -1.282

Hence,

-1.282 = x - 15.7/1.6

Cross Multiply

-1.282 × 1.6 = x - 15.7

- 2.0512 = x - 15.7

x = 15.7 -2.0512

x = 13.6488 years old

Approximately = 13.65 years old

Suppose that Gx=f(x+11). Which statement correctly describes the graph? please hurry!

Answers

Given:

[tex]g(x)=f(x+11)[/tex]

To find:

The correct statement for the given transformation.

Solution:

The translation is defined as

[tex]g(x)=f(x+a)+b[/tex] .... (1)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

We have,

[tex]g(x)=f(x+11)[/tex] ... (2)

On comparing (1) and (2), we get

[tex]a=11>0[/tex]

So, the graph of f(x) translated 11 units to the left.

Therefore, the correct option is A.

Suppose that 8,000 is placed in an account that pays 17% interest compounded each year assume that no withdraws are made from the account

Answers

Step-by-step explanation:

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bak*ywnJz8s

Convert 5700 milligrams into pounds. Round your answer to the nearest hundredth.

Answers

The value of the 5,700 milligrams in pounds is approximately 0.01 lb

What is a unit of measurement?

A unit of measurement is a specified magnitude of a quantity that is accepted and adopted by convention or backed by law, and used as a measurement standard.

In other to successfully convert a quantity in one unit to another unit, both units (initial and destination unit) should refer to the same characteristics of the object being measured.

Once both units are confirmed to refer to the same quantity, conversion factors are used to multiply the quantity in the first unit in order to express it in the other unit.

The given parameters are;

The quantity to be converted to pounds = 5,700 milligrams

The factor of conversion is 1,000 mg ≈ [tex]2.205 \times 10^{-6}[/tex] lb

Therefore;

[tex]5,700\: mg = 5,700 \times 2.205 \times 10^(-3) ≈ 0.0126[/tex]

Therefore, to the nearest hundredth, we have;

5,700 mg ≈ 0.01 lb

Learn more about unit conversion in mathematics here:

https://brainly.com/question/141163

#SPJ1

Solve the following system of equations using the elimination method. 8x – 5y = 5 –8x – 6y = 6
A)

(2,–3)

B)

(0,1)

C)

(–2,3)

D)

(0,–1)

Answers

Answer:

x = 0, y = -1

Step-by-step explanation:

What is the equation of the line that has a slope of -3 and passes through the point (-2, 4)?
O y = -3x - 2
y=-3x
ООО
y=-3x - 4
y = -3x + 4
O y=-3x + 2

Answers

Y = -3x + b
Plug in points
4 = -3(-2) + b
4 = 6 + b, b = -2
Solution: y = -3x - 2

Find 83 1/3 % of 384

Answers

Answer:

319.872

Step-by-step explanation:

319.872 / 384 = 83 1/3 / 100

Final Answer: [tex]320[/tex]

Steps/Reasons/Explanation:

Question: Find [tex]83\frac{1}{3}[/tex]% of [tex]384[/tex].

Step 1: Convert mixed fraction into improper fraction.

[tex]\frac{250}{3}[/tex]

Step 2: Multiply [tex]\frac{250}{3 * 100}[/tex] with [tex]384[/tex].

[tex]\frac{96000}{300}[/tex]

Step 3: Simplify

[tex]320[/tex]

~I hope I helped you :)~

This my homework and I'm bad at math if you can take the time please help me out f(x)= (x-5)to the power of 2 +12

I need the vertex
Axis of symmetry
Domain
Range

Answers

Answer:

Vertex: (5,12)

Axis of Symmetry: x=5

Domain: (-infinity, +infinity)

Range: [12, +infinity)

Step-by-step explanation:

35h+25=45h what does h equal

Answers

Answer:

h= 2.5

Step-by-step explanation:

25=10h

25/10=2.5

35h + 25 = 45h
—
h = 2.5

Prove that for any natural value of n the value of the expression (n+2)^2-(n-2)^2 is a multiple of 8.

Answers

Answer:

We have the expression:

(n + 2)^2 - (n - 2)^2

Let´s break the parentheses:

(n + 2)^2 = n^2 + 4*n + 4

(n - 2)^2 = n^2 - 4n + 4

Then:

(n + 2)^2 - (n - 2)^2 = (n^2 + 4*n + 4) - (n^2 - 4n + 4) =

= (n^2 - n^2) + (4 - 4) + (4n - (-4n)) = 4n - (-4n) = 8*n

Then for any natural value of n, 8*n will be a multiple of 8.

Sam says that the length of diagonal SQ is two times the length of diagonal OM.

Is Sam correct? Justify your answer and show all your work. Your work should state the theorem you used to find the lengths of the diagonals.

Answers

Answer:

Sam is wrong.

Step-by-step explanation:

A diagonal of square or rectangle is equals to hypotenuse of a triangle. So you can apply Pythagoras Theorem to solve it :

Given that QS is 17.9 and OM is 11.3. So SQ is not 2 times greater than OM.

Evaluate 32 divided by 1.6
show work long division