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Cerrena [4.2K]
3 years ago
10

A standard fair die is rolled one time. What is the probability that it lands on a

Mathematics
1 answer:
VLD [36.1K]3 years ago
8 0

Answer:

The die is assumed to have six sides labeled  

1

,

2

,

3

,

4

,

5

,

6

The numbers greater than 5 are  

6

.

The numbers less than 3 are  

2

,

1

.

So the numbers greater than 5 OR less than 3 are the union of the two sets or 6, and 2,1. The probability of rolling one of these numbers is  

3

6

=

1

2

or  

50%  

.

Step-by-step explanation:

Sorry its sloppy

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Which number line best shows the position of square root of 13?
BaLLatris [955]
I assume you mean one that is not rational, such as √2. In such a case, you make a reasonable estimate of it's position, and then label the point that you plot.
For example, you know that √2 is greater than 1 and less than 2, so put the point at about 1½ (actual value is about 1.4142).
For √3, you know the answer is still less than 4, but greater than √2. If both of those points are required to be plotted just make sure you put it in proper relation, otherwise about 1¾ is plenty good (actual value is about 1.7321).
If you are going to get into larger numbers, it's not a bad idea to just learn a few roots. Certainly 2, 3, and 5 (2.2361) and 10 (3.1623) shouldn't be too hard.
Then for a number like 20, which you can quickly workout is √4•√5 or 2√5, you could easily guess about 4½ (4.4721).
They're usually not really interested in your graphing skills on this sort of exercise. They just want you to demonstrate that you have a grasp of the magnitude of irrational numbers.
6 0
3 years ago
Two friends work at different companies, P and S. Both companies use the number of hours that an employee works to calculate tha
tia_tia [17]

Answer:

62.4 hours

Step-by-step explanation:

For P:

Number of hours off on 10 hours of working=0.4

Number of hours on 2080 hours of working=2080/10*0.4

=83.2 hours

For S:  

Number of hours off on 100 hours of working=7

Number of hours on 2080 hours of working=2080/100*7

=145.6 hours

The difference between the vacation hours of P and S is of 62.4 hours. S will get more hours of vacation.  

6 0
4 years ago
The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
Triangle DEF is an isosceles, so DEF = DFE.
Katarina [22]

Answer:

m∠CFD=105\°

Step-by-step explanation:

we know that

m∠CFD+m∠DFE=180\° ------> by supplementary angles

we have

that

m∠DFE=m∠DEF=75\°

so

m∠CFD+75\°=180\°

m∠CFD=180\°-75\°=105\°

8 0
4 years ago
Read 2 more answers
Can i pls have help with is soooooooooo confused
STALIN [3.7K]

500.

Solution:  210 is 42% of X  

Equation: Y = P% * X  

Solving our equation for X

X = Y/P%

X = 210/42%  

Converting percent to decimal:

p = 42%/100 = 0.42  

X = 210/0.42  

X = 500

6 0
3 years ago
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