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FrozenT [24]
3 years ago
6

If I roll a fair number cube 150 times, how many times should I expect to roll a number less than 4?

Mathematics
1 answer:
Julli [10]3 years ago
3 0

Answer:

6.25

Step-by-step explanation:

150/6/4=6.25

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What is the angle, in degrees, if the Area is 180 square miles and the radius is 42,240 feet?
Savatey [412]

Step-by-step explanation:

the area of a circle (all 360°) is

pi×r²

with r being the radius.

the area of a circle segment is just the corresponding fraction of the whole circle.

so the area of a segment of x degrees is

pi×r² × x/360

in our case we know

pi×42240² × x/360 = 180 mi²

we also know that there are 5280 ft in 1 mile.

so, the radius is actually

42240 / 5280 = 8 miles

and therefore our equation resulting in mi² has to use miles and not ft and has to look that way :

pi×8² × x/360 = 180 mi²

pi×64 × x/360 = 180

pi×64 × x = 180×360

pi×x = 180×360/64 = 1012.5

x = 1012.5/pi = 322.2887598...°

so, the angle of the segment of a circle with the area of 180 mi² and the radius of 8 mi is 322.2887598...°

5 0
2 years ago
Which function rule would help you find the values in the table
Svetllana [295]
It would be K = -6j . I hope this helped you!
8 0
3 years ago
Help much appreciated ):
sweet-ann [11.9K]

Answer

Step-by-step explanation:

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7 0
3 years ago
Multiply (5 + 3i)(5 − 3i) <br><br> 16 + 15i <br><br> 16 − 15i <br><br> 16 <br><br> 34
Annette [7]

Answer:

(5 + 3i)(5 − 3i) = 34

Step-by-step explanation:

The multiplication of two identical binomials who have different symbol, can be solved using the factoring case of a difference of squares:

(a-b).(a+b)=a^{2}-b^{2}

So, in this case:

(5+3i).(5-3i) = 5^{2}-(3i)^{2}

=25-9i^{2}

Remember that i=\sqrt{-1}

So: i^{2}=-1

We replace on the polynomial:

=25-9.(-1) = 25+9=34

3 0
3 years ago
Read 2 more answers
Which expression shows you how you can use mental math to simplify the expression (53 + 23) + 7 most easily? A. 7 + (23 + 53) B.
Ymorist [56]

Answer:

C. 53 + (23 + 7)

Step-by-step explanation:


4 0
3 years ago
Read 2 more answers
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