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Korolek [52]
1 year ago
7

A water dispenser has a capacity of 20,000 milliliters. Use the facts to find how much this is in liters .

Mathematics
1 answer:
laila [671]1 year ago
5 0
Answer:

The water dispenser's capacity in liters is 20liters

Explanation:

Given:

A water dispenser capacity = 20,000milliliters

To find

the capacity of the water dispenser in liters

To determine the capacity in liters, we will convert the capacity in ml to liters using the conversion:

1000ml = 1 liter

let the capacity of the water dispenser in Liters = y

\begin{gathered} 1000ml\text{ = 1 L} \\ 20000ml\text{ = y} \\ cross\text{ multiply:} \\ y(1000)\text{ = 1\lparen20000\rparen} \\ 1000y\text{ = 20000} \end{gathered}\begin{gathered} divide\text{ both sides by 1000:} \\ y\text{ = }\frac{20000}{1000} \\ y\text{ = 20} \end{gathered}

The water dispenser's capacity in liters is 20liters

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larisa [96]

Answer:

the least common denominator is. 9

3 0
3 years ago
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In the past, 35% of the students at ABC University were in the Business College, 35% of the students were in the Liberal Arts Co
lesantik [10]

Answer:

The test statistic for Business College is -0.9944

The test statistic for Liberal Arts College is 1.1483

The test statistic for Education College is 0

Step-by-step explanation:

The percentage of ABC University college students in

Business College = 35%

Liberal Arts College = 35%

Education College = 30%

The number of students in the sample = 300 students

In the sample, the number of students in;

Business College = 90

Liberal Arts College = 120

Education College = 90

Therefore;

The percentage of Business College students = 90/300 × 100 = 30%

The percentage of Liberal Arts College,  = 120/300 × 100 = 40%

The percentage of Education College, \hat p = 90/300 × 100 = 30%

The test statistic for the difference in two proportions is given as follows;

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}

Where;

\hat p = The sample proportion

p = The population proportion

q = 1 - p

n = The sample size

The test statistic for Business College is;

z=\dfrac{0.3-0.35}{\sqrt{\dfrac{0.35 \times 0.65}{90}}} \approx -0.9944

The test statistic for Liberal Arts College is;

z=\dfrac{0.4-0.35}{\sqrt{\dfrac{0.35 \times 0.65}{120}}} \approx 1.1483

The test statistic for Education College is;

z=\dfrac{0.3-0.3}{\sqrt{\dfrac{0.3 \times 0.70}{120}}} \approx 0

7 0
3 years ago
Exhibit 13-2 Source of Variation Sum of Squares Degrees of Freedom Mean Square F Between treatments 2,073.6 4 Between blocks 6,0
SOVA2 [1]

Answer:

option C is correct,the null hypothesis equals 1.8

7 0
3 years ago
Prove that the lines x+y=5, 2x–y=16 and x+2y=3 intersect at one point. What are the coordinates of this point?
statuscvo [17]

Answer:

The coordinates of the intersection point are (7,-2)

Step-by-step explanation:

we have

x+y=5 -----> equation A

2x-y=16 -----> equation B

x+2y=3 -----> equation C    

we know that

If the system of equations intersect at one point, then the system of equations has one solution

using a graphing tool

see the attached figure

The coordinates of the intersection point are (7,-2)

This point is a common solution for the three equations

Verify

Substitute the value of x=7, y=-2 in each equation

so

Equation A

x+y=5

7-2=5

5=5 ----> is true, therefore the point is a solution of the equation A

Equation B

2x-y=16

2(7)+2=16

16=16 ----> is true, therefore the point is a solution of the equation B

Equation C

x+2y=3

7+2(-2)=3

3=3 ----> is true, therefore the point is a solution of the equation C

4 0
3 years ago
Please help thank you.
Scrat [10]
Area = PI x r^2

r = 1/2 d = 1/2* 4.1 = 2.05

2.05^2 = 4.2025

 answer is 4.2025PI m^2

Answer is D



7 0
3 years ago
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