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3 years ago

6. The cost of 12computers is $4800. How much does 15 computers costs.

Mathematics

2 answers:

Pie3 years ago

4 0

Answer:

$6000

Step-by-step explanation:

12 = 4800

Divide both sides by 12 to get the price of 1 computer.

1 = 400

Multiply by 15...

15 = 6000

yulyashka [42]3 years ago

4 0

Answer: $6000

Step-by-step explanation:

Let x = # of computers

Step 1: 12x = $4800

Step 2: Divide by 12. x = 400

Now we know 1 computer = $400.

Therefore, 15 computers ($400 each) can be represented with the equation:

15 x $400 = $6000.

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The U.S. Bureau of Labor Statistics reports that of persons who usually work full-time, the average number of hours worked per w

alukav5142 [94]

Answer:

The standard deviation of number of hours worked per week for these workers is 3.91.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by

$Z = \frac{X - \mu}{\sigma}$

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. Subtracting 1 by the pvalue, we This p-value is the probability that the value of the measure is greater than X.

In this problem we have that:

The average number of hours worked per week is 43.4, so $\mu = 43.4$ .

Suppose 12% of these workers work more than 48 hours. Based on this percentage, what is the standard deviation of number of hours worked per week for these workers.

This means that the Z score of $X = 48$ has a pvalue of 0.88. This is Z between 1.17 and 1.18. So we use $Z = 1.175$ .

$Z = \frac{X - \mu}{\sigma}$

$1.175 = \frac{48 - 43.4}{\sigma}$

$1.175\sigma = 4.6$

$\sigma = \frac{4.6}{1.175}$

$\sigma = 3.91$

The standard deviation of number of hours worked per week for these workers is 3.91.

6 0

4 years ago

At an animal shelter, there are 15 dogs and 12 cats.

Bond [772]

Answer:

Dogs: 44.44 Cats: 55.556

Step-by-step explanation:

*this is only if you are allowed to use a calculator*

1. You have to add the total of the cats and dogs

Why? Here, let me put it this way. You have a test with two sections: math and science. If there are 2 Maths Questions and 2 Science questions, what percent of the test are math questions? You would not say 2/2 and say 100. You would say 2/4 because it is obvious. You do the same in this case but it is not as noticeable because you are dealing with bigger numbers.

15 + 12 = 27.

2. Solve

a. There are 15 dogs and 12 cats that makes up 27 pets total.

So you have to do 12/27 for cats,

15/27 for dogs. The fractions equal one and It shows you how much of one is there compared to the total.

b. Simplify

You can simplify these fractions:

for 12/27, divide the numerator and the denominator by 3.

You get 4/9

Divide 15/27 for dogs by 3 as well to get 5/9.

5+4 is 9, which means that I am doing the math correctly.

According to the calculator, 5/9 is 55.556, and 4/9 is 44.444

They should be accurate because there are more dogs than cats and the percentage for dogs are higher. Hence, this is correct.

Cats = 4/9 = 44.444%

Dogs = 5/9 = 55.556%

Hope this helps :)

-jp524

7 0

2 years ago

Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2^x=1-3^x

Greeley [361]

Answer:

Option (1)

Step-by-step explanation:

Given equation is,

$2^x=1-3^x$

To determine the solution of the equation we will substitute the values of 'x' given in the options,

Option (1)

For x = -0.75

$2^{-0.75}=1-3^{-0.75}$

0.59 = 1 - 0.44

0.59 = 0.56

Since, values on both the sides are approximately same.

Therefore, x = -0.75 will be the answer.

Option (2)

For x = -1.25

$2^{-1.25}=1-3^{-1.25}$

0.42 = 1 - 0.25

0.42 = 0.75

Which is not true.

Therefore, x = -1.25 is not the answer.

Option (3)

For x = 0.75

$2^{0.75}=1-3^{0.75}$

1.68 = 1 - 2.28

1.68 = -1.28

Which is not true.

Therefore, x = 0.75 is not the answer.

Option (4)

For x = 1.25

$2^{1.25}=1-3^{1.25}$

2.38 = 1 - 3.95

2.38 = -2.95

It's not true.

Therefore, x = 1.25 is not the answer.

6 0

3 years ago

Need help to answer please

NNADVOKAT [17]

Answer:

0I do not know

Step-by-step explanation:

you good post on this post y el que me and the en el mundo del abecedario y la música que ✨ 7th en is the trail from a 6th street in

6 0

3 years ago

Demand The demand function for the product is given by

DiKsa [7]

Answer:

(a) 2996 units

(b) 1897 units

Step-by-step explanation:

p = 10,000(1 - 3/3 + e^-0.001x)

(a) p = $500

500 = 10,000(1 - 1 + e^-0.001x)

500/10,000 = e^-0.001x

e^-0.001x = 0.05

-0.001x = In 0.05 = -2.996

x = -2.996/-0.001 = 2996 units

(b) p = $1500

1500 = 10,000(1 - 3/3 + e^-0.001x)

1500/10,000 = (1 - 1 + e^-0.001x)

0.15 = e^-0.001x

-0.001x = In 0.15 = -1.897

x = -1.897/-0.001 = 1897 units

8 0

4 years ago