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3 years ago

The telephone company purchased 192 yards of wire for $2,304 in January. They

Mathematics

2 answers:

Aleks [24]3 years ago

6 0

Answer:

Step-by-step explanation:

400yd($2304/192yd)=$4800

kirill [66]3 years ago

6 0

Answer:

400 yards of wire will cost $4,800

Step-by-step explanation:

First find the cost per yard of wire by using the equation 2,304/192 which equals 12/1, which is $12 per yard of wire. Next multiply that by 400 to get $4800, which is the total February purchase cost.

You might be interested in

What is the average rate of change for this function for the interval from x= 1

Usimov [2.4K]

Answer:

C. 8

Step-by-step explanation:

The average rate of change is the slope of the line between the two points of interest. It is given by the formula ...

m = (y2 -y1)/(x2 -x1)

For points (1, 2) and (3, 18), the average rate of change is ...

m = (18 -2)/(3 -1) = 16/2 = 8

The average rate of change between x=1 and x=3 is 8.

8 0

2 years ago

Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule

Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113.

(b) 5% of people has an IQ score less than 74 or greater than 126.

Step-by-step explanation:

Given information:Scores of an IQ test have a bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between $\overline{x}-\sigma$ and $\overline{x}+\sigma$ .

95% data lies between $\overline{x}-2\sigma$ and $\overline{x}+2\sigma$ .

99.7% data lies between $\overline{x}-3\sigma$ and $\overline{x}+3\sigma$ .

(a)

$\overline{x}-\sigma=100-13=87$

$\overline{x}+\sigma=100+13=113$

$[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]$

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113.

(b)

$\overline{x}-2\sigma=100-2(13)=74$

$\overline{x}+2\sigma=100+2(13)=126$

$[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]$

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

$\overline{x}-3\sigma=100-3(13)=61$

$\overline{x}+3\sigma=100+3(13)=139$

$[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]$

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139 is

$P=\frac{1}{2}(0.3\%)=0.15\%$

Therefore 0.15% of people has an IQ score greater than 139.

5 0

3 years ago

A coin contains 1.25 grams of nickel and 3.75 grams of copper, for a total weight of 5 grams. What percentage of the metal in th

otez555 [7]

So,

To find the percentage that the copper comprises, just divide the amount of copper by the total amount of metal in the coin. In this case, we will change the denominator so that it is 100, which can easily be converted into a percentage, which is really just a fraction out of 100.

$\frac{3.75}{5} = \frac{7.50}{10} = \frac{75}{100}$

75%

75% of the metal in the coin is copper.

7 0

3 years ago

Here is an inequality: -2x>10

jek_recluse [69]

Answer:

The right solution is " $x>-5$ ".

Step-by-step explanation:

The given inequality is:

⇒ $-2x>10$

By solving the above expression, we get

⇒ $x >-\frac{10}{2}$

⇒ $x>-5$

Thus the above is the correct answer.

7 0

3 years ago

You deposit $400 in an account earning 2% interest compounded annually. How much will you have in the account in 20 years?

iVinArrow [24]

Answer:

Approximately $594.38

Step-by-step explanation:

Use the formula: y = a(1 + r)^t
a is the initial amount
r is the percent of interest in decimal form
t is the time in years
y is the money after t years

Substitute the values given in the problem into the equation:
400(1+0.02)^20
Use a calculator or solve manually
Around 594.38

6 0

2 years ago