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3 years ago

20 POINTS PLS HALP!!!

Mathematics

2 answers:

zhuklara [117]3 years ago

4 0

Answer:

.07 people per square mile

Step-by-step explanation:

We can just divide the people by area

57714/836109=.06902688525 or about .07 people per square mile

I think you got confused about the division and what to divide by what

Look over here we divide the PEOPLE by the AREA so we get the amount of PEOPLE per square mile

If we did it the opposite way we get THE AREA that EACH PERSON HAS

Morgarella [4.7K]3 years ago

3 0

Answer:

number of people / land area = population density

57,714 / 836,109 ≈ 0.07 people/ $mi^2$

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The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and a standard

Anarel [89]

Answer:

a) 266 tubes , TC_r = $53.2

b) 266 tubes , T.Loss = $13.30

Step-by-step explanation:

Given:

- The sample size of tubes n = 1,000 tubes

- The mean of the sample u = 6.5 oz

- The standard deviation of the sample s.d = 0.8 oz

- Cost of manufacturing a tube C_t = 50 cents

- Cost of refilling a tube C_r = 20 cents

- Profit loss per tube Loss = 5 cents

Find:

a). How many tubes will be found to contain less than 6 ounces? In that case, what will be the total cost of the refill?

b) How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of profit lost?

Solution:

- First we will compute the probability of tube containing less than 6 oz.

- Declaring X : The amount of toothpaste.

Where, X ~ N ( 6.5 , 0.8 )

- We need to compute P ( X < 6 oz )?

Compute the Z-score value:

P ( X < 6 oz ) = P ( Z < (6 - 6.5) / 0.8 ) = P ( Z < -0.625 )

Use the Z table to find the probability:

P ( X < 6 oz ) = P ( Z < -0.625 ) = 0.266

- The probability that it lies below 6 ounces. The total sample size is n = 1000.

The number of tubes with X < 6 ounces = 1000* P ( X < 6 oz )

= 1000*0.266 = 266 tubes.

- The total cost of refill:

TC_r = C_f*(number of tubes with X < 6)

TC_r = 20*266 = 5320 cents = $53.2

- We need to compute P ( X > 7 oz )?

Compute the Z-score value:

P ( X > 7 oz ) = P ( Z > (7 - 6.5) / 0.8 ) = P ( Z < 0.625 )

Use the Z table to find the probability:

P ( X > 7 oz ) = P ( Z > 0.625 ) = 0.266

- The probability that it lies above 7 ounces. The total sample size is n = 1000.

The number of tubes with X > 7 ounces = 1000* P ( X > 7 oz )

= 1000*0.266 = 266 tubes.

- The total cost of refill:

T.Loss = Loss*(number of tubes with X > 7)

T.Loss = 5*266 = 1330 cents = $13.30

5 0

3 years ago

Compare |-0.658| and |-0.653|

Andre45 [30]

Answer:

|−0.658| < |−0.653|.

Step-by-step explanation:

4 0

3 years ago

**view image**

vladimir1956 [14]

The chart has been completed in the picture attached.

Step-by-step explanation:

Step 1:

It is given that the number of bacteria doubles every 6 hours.

So if there are 1 million now, in 6 hours there would be double that i.e. 2 million and it will go on.

Step 2:

As the first column says the number of 6-hour periods, the second column is the actual number of hours.

So the second column is multiples of 6 so the second column is filled with;

0, 6, 12, 18, 24, 30, 36, 42 and 48.

Step 3:

The current population is calculated by multiplying the previous population by 2.

For 0 hours, the population = 3 million,

For 6 hours, the population = $2(3) = 6$ million,

For 12 hours, the population = $2(6) = 12$ million,

For 18 hours, the population = $2(12) = 24$ million,

For 24 hours, the population = $2(24) = 48$ million,

For 30 hours, the population = $2(48) = 96$ million,

For 36 hours, the population = $2(96) = 192$ million,

For 42 hours, the population = $2(192) = 384$ million, and

For 48 hours, the population = $2(384) = 768$ million.

So at the end of 48 hours, there will be approximately 768 million bacteria on the pinhead.

8 0

3 years ago

A family is planning a three-week vacation for which they will drive across the country. They have a van that gets 12 miles per

svetoff [14.1K]

Answer:

The family will pay 34722 cents more if they take the van

Step-by-step explanation:

Given

Van = 12 miles per gallon

Sedan = 36 miles per gallon

Distance = 2500 miles

Gas = $2.50 per gallon

First, we need to determine the number of gallons that'll be used by both vehicles

This is done by dividing total distance by number of miles per gallon

$Van = \frac{2500}{12} \ gallon$

$Sedan = \frac{2500}{36}\ gallon$

Next, is to multiply this by the cost of gas per gallon;

This gives the total spendable amount on both vehicles

$Van = \frac{2500}{12} * \$2.50$

$Van = \frac{\$6250}{12}$

$Van = \$520.833$

$Sedan = \frac{2500}{36}* \$2.50$

$Sedan = \frac{\$6250}{36}$

$Sedan = \$173.611$

Next is to get the difference between these amounts

$Difference = \$520.833 - \$173.611$

$Difference = \$347.222$

Multiply by 100 to convert to cents

$Difference = 347.222 * 100 cents$

$Difference = 34722.2 \ cents$

$Difference = 34722\ cents$ (Approximated)

Hence;

<em>The family will pay 34722 cents more if they take the van</em>

8 0

3 years ago

Explain what can happen if you line up the digits incorrectly when you rewrite additional problem

Natasha_Volkova [10]

So basiclly you will end up getting the wrong answer. For example 234+23.
If you lined it up incorrectly you might get 464. It is actually 257. This is wy you should line it up correctly.
~JZ
Hope it helps! Good Luck!

8 0

3 years ago

Read 2 more answers