1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
shepuryov [24]
3 years ago
14

If n is an even integer between 1 and 1989, what is the probability that n^2 is divisible by 8

Mathematics
1 answer:
pantera1 [17]3 years ago
5 0

Answer:

0.249874

Step-by-step explanation:

After every 4 digits, n squared is divisible by 8 so we have 1989/4= 497 numbers divisible by 4 after squaring

probability n=497/1989= 0.249874

Probability n=0.249874

You might be interested in
Tina mailed a package in a container shaped like a
Inessa [10]

Answer:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given  

x

,

(

x

+

6

)

(

x

−

2

)

(

x

−

1

)

.

A polynomial is a sum (with some coefficients) of powers of  

x

, so, if we expand the product just written, we have

(

(

x

+

6

)

(

x

−

2

)

)

(

x

−

1

)

=

(

x

2

−

2

x

+

6

x

−

12

)

(

x

−

1

)

=

(

x

2

+

4

x

−

12

)

(

x

−

1

)

=

x

3

+

4

x

2

−

12

x

−

x

2

−

4

x

+

12

=

x

3

+

3

x

2

−

16

x

+

12

Which is a polynomial, and expresses the volume of the prism

Step-by-step explanation:

The volume of a rectangular prism is simply the product of its three dimensions: in your case, the volume of the prism is, given  

x

,

(

x

+

6

)

(

x

−

2

)

(

x

−

1

)

.

A polynomial is a sum (with some coefficients) of powers of  

x

, so, if we expand the product just written, we have

(

(

x

+

6

)

(

x

−

2

)

)

(

x

−

1

)

=

(

x

2

−

2

x

+

6

x

−

12

)

(

x

−

1

)

=

(

x

2

+

4

x

−

12

)

(

x

−

1

)

=

x

3

+

4

x

2

−

12

x

−

x

2

−

4

x

+

12

=

x

3

+

3

x

2

−

16

x

+

12

Which is a polynomial, and expresses the volume of the prism

3 0
3 years ago
WHATIS THE MEANING OF A TERMINATING DECIMAL!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
jok3333 [9.3K]
The <u>correct answer</u> is:

A decimal that ends.

Explanation:

"Terminating" means ending.  A terminating decimal is one that has a last digit; it does not continue infinitely (never-ending) and it does not repeat infinitely.  It has a single digit at its end.
8 0
3 years ago
Andy spent $55 in all to purchase 20 two-dollar and five-dollar toys. How many two-
Masja [62]
I’m not sure but if I’m right Jen it will be 1 two dollar toy and 5 five dollar toy
7 0
2 years ago
If a spherical ball is enlarged so that its surface area is 9 times greater than its original surface area, then the original ra
luda_lava [24]
The surface area of a sphere is A = 4 \pi r^{2} and if the original S.A was is enlarged to have it 9 times greater, the radius would be multiplied by 3 or roughly 2.99626 rounded off to 3.0. 

For example, let us assign values.
Let A=90

A= 90*9 = 810

90 = 4 \pi   r^{2} &#10;&#10;    and    810 = 4 \pi  r ^{2}

the first r is 2.68 and the second r is 8.03

then, \frac{8.03}{2.68} = 2.99626  or rounded off to 3.
6 0
3 years ago
Mark took his family to the movies and spent a total of 78$ on tickets he also bought a soda for each family member each sodas c
AveGali [126]

Answer: He bought about 6 sodas.

Step-by-step explanation:

Given: Tota cost of tickets = $ 78

Cost of each soda = $4.25

Total cost of sodas and tickets = 102.50

Let x = Number of sodas purchased

Then

78+4.25x=102.50\\\\\Rightarrow\ 4.25x=102.50-78\\\\\Rightarrow\ 4.25x=24.5\\\\\Rightarrow\ x= \dfrac{24.5}{4.25}\\\\\Rightarrow\ x\approx6

Hence, he bought about 6 sodas.

8 0
3 years ago
Other questions:
  • A scatter plot is made with the data shown below: Number of Waiters at a Restaurant 5 6 7 8 9 10 11 12 13 Customer Service Ratin
    6·2 answers
  • 2x + 5 = 10
    6·2 answers
  • If f(x) = 3x - 1 and g(x) = x + 2, find (f+ g)(x).
    7·1 answer
  • Which graph represents the solution set of this inequality?<br><br>12b - 15 &gt; 21
    12·2 answers
  • Sally and Tim need more than 24 bags of grass seed to resend their lawn. The seed they want to buy is sold in cartons that conta
    8·2 answers
  • June bought ​ 3 1/2 ​ gallons of white paint at $17.50 per gallon and ​ 1 3/4 gallons of blue paint at $19.00 per gallon. What w
    15·2 answers
  • Please help me please​
    7·1 answer
  • A bag has 4 red marbles, 5 blue marbles, and 6 green marbles. What is the probability if choosing a red marble from the bag, not
    5·1 answer
  • Can anyone help me on this pls?
    6·2 answers
  • This is my last one please anyone
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!