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3 years ago

Mercury has a density of 13.6 g/mL. A sample of mercury weighs 2.25 kg. What volume does it occupy

Mathematics

1 answer:

laila [671]3 years ago

8 0

Answer:

165 mL

Step-by-step explanation:

Density is mass divided by volume:

D = M / V

Solving for volume:

V = M / D

The density is given in g/mL. So first let's convert the mass from kg to g:

2.25 kg × (1000 g / kg) = 2250 g

Plugging in values:

V = (2250 g) / (13.6 g/mL)

V = 165.4 mL

Rounded to 3 significant figures, the volume is 165 mL.

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At a butcher shop, Hilda bought 6 1/4 lb of Beef and some pork. She left with 13 1/20 lb of meat. Express the number of pounds

lina2011 [118]

Hilda bought 15.11 lb of pork.

Step-by-step explanation:

Cost of Beef that Hilda bought = 4 17/20 = 4.85 lb

Cost of the total meat she bought = 19 24/25 = 19.96 lb.

To find the number of pounds of pork she bought, subtract.

Number of pounds of pork she bought = 19.96 - 4.85 = 15.11 lb.

8 0

3 years ago

Read 2 more answers

Pat has 8 flowerpots, and she wants to plant a different type of flower in each one. there are 10 types of flowers available at

ankoles [38]

10P8 = 10!/(10 - 8)! = 10!/2! = 1,814,400

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3 years ago

Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

$\text{Range} = 234-119 = 115\$$

Standard Deviation:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1356}{8} = 169.5$

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 + 2352.25 + 1406.25 + 552.25 + 812.25 = 13406

$\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$$

Variance =

$\sigma^2 = 1915.142\$$

Measure of variance for someone searching for room:

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

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3 years ago

Write the following equation in slope-intercept form.<br> 1/3 - y+6=0

Radda [10]

Answer:

y=19/3

Step-by-step explanation:

4 0

3 years ago

An automobile salesman receives a monthly bonus cheque if his commission income is at least $6,800.00 in a given month. There ar

Reika [66]

The salesman earns $850 per automobile he sells.

Since x represents the amount of automobiles the salesman sells, we can apply the commission as a coefficient to this variable. Therefore, the total commission that the salesman earns can be represented by $850x.

The bonus cheque is only received if the salesman's commission income is <em>at least </em>$6,800. 'at least' means that the salesman can still receive the cheque if his commission is exactly $6,800. The sign that we can use for this situation is the greater than or equal to sign, ≥.

The inequality that shows the commission income needed for the cheque is $850x ≥ $6,800. However, this question asks for the number of automobiles the salesman must sell to get the cheque.

Divide both sides by $850, as that represents his sales from one commission:

x ≥ 8

The inequality x ≥ 8 represents the amount of automobiles the salesman will need to sell to get the bonus cheque.

6 0

3 years ago