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3 years ago

If a= 2b, then a-c= 2b-c?? Which property of equality is being used?

Mathematics

1 answer:

andriy [413]3 years ago

4 0

Answer:

Subtraction Property of Equality

Step-by-step explanation:

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A survey of shoppers is planned to determine what percentage use credit cards. prior surveys suggest 63% of shoppers use credit

Alona [7]

We would need a sample size of 560.

We first calculate the z-score associated. with this level of confidence:
Convert 95% to a decimal: 95% = 95/100 = 0.95
Subtract from 1: 1-0.95 = 0.05
Divide by 2: 0.05/2 = 0.025
Subtract from 1: 1-0.025 = 0.975

Using a z-table (http://www.z-table.com) we see that this is associated with a z-score of 1.96.

The margin of error, ME, is given by:
$ME=z*\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

We want ME to be 4%; 4% = 4/100 = 0.04. Substituting this into our equation, as well as our proportion and z-score,
$0.04=1.96\sqrt{\frac{0.63(1-0.63)}{n}}
\\
\\\text{Dividing both sides by 1.96,}
\\
\\\frac{0.04}{1.96}=\sqrt{\frac{0.63(0.37)}{n}}
\\
\\\text{Squaring both sides,}
\\
\\(\frac{0.04}{1.96})^2=\frac{0.63(0.37)}{n}
\\
\\\text{Multiplying both sides by n,}
\\
\\n(\frac{0.04}{1.96})^2=0.63(0.37)
\\
\\n(\frac{0.04}{1.96})^2=0.2331
\\
\\\text{Isolating n,}
\\
\\n=\frac{0.2331}{(\frac{0.04}{1.96})^2}=559.67\approx560$

3 0

3 years ago

Ignacio shares 2.1 liters of water equally into 7 containers. How many milliliters are in each container?

Stella [2.4K]

Answer: 300 ml

Step-by-step explanation:

First and foremost, we should note that:

1000 milliliters = 1 liter

Therefore, 2.1 liters = 2.1 × 1000 = 2100 millimeters.

Therefore, since the liters of water is divided into 7 containers, the vlaue in each container will be:

= 2100 millimeters / 7

= 300 millimeters

8 0

2 years ago

Laine reads 25 pages in 30 minutes. If she reads 200 pages at the same rate how long will it take her?

Veronika [31]

Answer:

4 hours

Step-by-step explanation:

25 pages -> 30 min

5 pages -> 6 min

200 pages -> 6*40 min =240 min

240/60= 4

Thus, the answer is 4 hours

7 0

3 years ago

6c-8-2c=-16+c what’s the value of c

Artemon [7]

Answer:

The correct answer is c = -8/3.

Step-by-step explanation:

The first step in solving this problem would be to simplify by combining like terms on the left side of the equation.

6c - 8 - 2c = -16 + c

4c - 8 = -16 + c

Then, we can subtract c from both sides of the equation to get rid of the positive c on the right side of the equation.

4c - c - 8 = -16 + c - c

3c - 8 = -16

Next, we can add 8 to both sides of the equation.

3c - 8 + 8 = -16 + 8

3c = - 8

Then, we can divide both sides of the equation by 3.

c = -8/3

Hope this helps!

7 0

2 years ago

Shannon delivered 135 muffins to each of 7 restaurants. How many muffins did Shannon deliver?

Pani-rosa [81]

Answer:

945 muffins

Step-by-step explanation:

135 * 7 = 945

8 0

2 years ago

Read 2 more answers