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Citrus2011 [14]
3 years ago
14

The mass of a block of stone is 2,000 kg. If the block has a volume of 0.5m

Mathematics
1 answer:
rodikova [14]3 years ago
4 0
Density = Mass / Volume = 2000/0.5
Density = 4000 Kg/m^3 
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Find the probability that the person is frequently or occasionally involved in charity work.
Schach [20]
Given the table below which shows the result of a survey that asked 2,881 people whether they are involved in any type of charity work.

\begin{tabular}
{|c|c|c|c|c|c|}
 &Frequently&Occassionally&Not at all&Total\\[1ex]
Male&227&454&798&1,479\\
Female &205&450&747&1,402\\
Total&432&904&1,545&2,881
\end{tabular}

Part A:

If a person is chosen at random, the probability that the person is frequently or occassinally involved in charity work is given by

P(being \ frequently \ involved \ or \ being \ occassionally \ involved)\\ \\= \frac{432}{2881} + \frac{904}{2881} = \frac{1336}{2881}=\bold{0.464}



Part B:

If a person is chosen at random, the probability that the person is female or not involved in charity work at all is given by

P(being
 \ female \ or \ not \ being \ involved)\\ \\= 
\frac{1402}{2881} + \frac{1545}{2881}-\frac{747}{2881} = 
\frac{2200}{2881}=\bold{0.764}



Part C:

If a person is chosen at random, the probability that the person is male or frequently involved in charity work is given by

P(being
 \ male \ or \ being \ frequently \ involved)\\ \\= 
\frac{1479}{2881} + \frac{432}{2881}-\frac{227}{2881} = 
\frac{1684}{2881}=\bold{0.585}



Part D:

If a person is chosen at random, the probability that the person is female or not frequently involved in charity work is given by

P(being
 \ female \ or \ not \ being \ frequently \ involved)\\ \\= 
\frac{1402}{2881} + \frac{904}{2881} + \frac{1545}{2881}-\frac{450}{2881}-\frac{747}{2881} = 
\frac{2654}{2881}=\bold{0.921}



Part E:

The events "being female" and "being frequently involved in charity work" are not mutually exclusive because being a female does not prevent a person from being frequently involved in charity work.

Indeed from the table, there are 205 females who are frequently involved in charity work.

Therefore, the answer to the question is "No, because 205 females are frequently involved charity work".
4 0
2 years ago
The midpoint of a line segment is (−1,6) . One endpoint of the line segment is (4,−7) .
pogonyaev

Answer:

The other coordinate is (-6,19)

Step-by-step explanation:

m = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )

(4,-7)

(x,y)

[(4+x)/2 , (-7+y)/2] = (-1,6)

(4 + x)/2 = -1

4 + x = -2

× = -6

(-7 + y)/2 = 6

-7 + y = 12

y = 19

(Correct me if i am wrong)

5 0
3 years ago
One number is 5 more than the other. Their sum is 33. Find the numbers.
dimaraw [331]

Answer:

19,14

Step-by-step explanation:

x=5+y

x+ y= 33

we will solve using substitution

(5+y) +y= 33

5+y+y=33

5+2y=33

subtract 5 from both sides

2y=28

y=14

We got y now we will find what x is

for this, we will substitute y's value (14) into the first equation

x=5+(14)

x=19

we got x too

3 0
2 years ago
A doctor ran 55 hours the mom ran 52 hours what was the total
Elan Coil [88]
This is I suppose basic addition. Addition is a mathematical process of combining or joining something to something else. The word "total" indicates that the addition will be used. If the doctor ran for 55 hours and the mom for 52 hours, by using the addition it will be:
    55
+  52
______

  107 hours in total.

107 hours converted in days will be 4 days and 4 hours. SInce 1 day contains 24 hours you now divide 107 hours by 24 hours to get its equivalent to days.
5 0
3 years ago
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You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi
nikitadnepr [17]
Hello! Sorry that I'm late. Okay, so each batch calls for 2 2/3 cups of granola and 1 1/3 cups of peanuts. Let's divide the number of cups available total by the amount per batch. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the other faction over. Let's do it. 12/1 * 3/8 = 36/8 or 4 1/2 in mixed number form. 17/2 * 3/4 = 51/8 or 6 3/8 in simplest form. You can only make 4 full batches of trail mix, because you can only use the full serving of both granola AND peanuts for 4 of them.
8 0
3 years ago
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