Step-by-step explanation:
The intersection point of the two equations is the solution of the system.
(-5,1)
Answer:
7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.
Step-by-step explanation:
Multiplying the positive whole number 7 by 3 and adding 1 will get:
(7 × 3) + 1 = 21 + 1 = 22
Multiplying the positive whole number 7 by 2 and adding 8 will get:
(7 × 2) + 8 = 14 + 8 = 22
Therefore, 7 is the positive whole number which we can multiply by 3 and add 1, or multiply by 2 and add 8; and it will give the same answer.
Answer:
about 41.9 square inches
Step-by-step explanation:
The area of a sector of radius r and central angle α is given by ...
A = (1/2)r^2·α
where α is in radians.
The angle 75° is equivalent to 75°·(π/180°) = 5π/12 radians, so the area is ...
A = (1/2)(8 in)^2·(5/12)·3.14 = (40/3)·3.14 in^2 = 41.86_6 in^2 ≈ 41.9 in^2
_____
<em>Comment on the precision of the answer</em>
The use of a 3-significant-digit value for pi means that the answer must be rounded to 3 significant digits. If the 8-inch value for radius is really only accurate to ±1/2 inch, then the answer must be rounded to 1 significant digit: 40 in^2.
Answer:
a) P(a)= 0.0001
b) P(b)= 0.0024
Step-by-step explanation:
Given:
Chosen number = 3079
Possible numbers that have chance of winning from 0000 to 9999= 10,000
Winning condition= if made choice matches the winning digits
Now
a)What is the probability that the winning number matches your number exactly?
From 0000 to 9999, only one time can the number 3079 can be the winning number, so
P(a)= 1/10000
= 0.0001
b)What is the probability that the winning number has the same digits as your number in any order?
Winning numbers from 0000 to 10000 that have same digits as 3079 are
4 x 3 x 2 x 1 = 24 ways
Following are the 24 numbers from 0000 to 9999 that have matching digits to 3079:
0379
0397
0973
0937
0793
0739
3079
3097
3970
3907
3790
3709
7039
7093
7930
7903
7390
7309
9073
9037
9370
9307
9730
9703
P(b)= 24/10000
=0.0024 !