An.swer:
171.68
Step-by-step explanation:
The total value of the sequence is mathematically given as
498501
<h3>The sum of the sequence is..?</h3>
Generally, the equation for Gauss's Problem is mathematically given as
The sum of an arithmetic series;
1+2+3+...+n= n(n+1)/2
Given an arithmetic sequence,
1+2+3+...+998,
Here,
n = 998
1+2+3+...+n=n(n+1)/2
1+2+3+...+998=98(998 + 1)/2
998 x 999 1+2+3+...+998 =2
1+2+3+...+998 = 498501
In conclusion, 498501 is the total value of the sequence.
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<h2>
Answer:</h2>
Option: D is the correct answer.
The probability is: 0.50
<h2>
Step-by-step explanation:</h2>
Weight/Calories 1000-1500 1500-2000 2000-2500 Total
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
We are asked to find the probability that a person consumes 1500-2000 calories in a day.
Total number of people who were surveyed=500
Total number of people who consume 1500-2000 calories in a day are:250
Hence, Probability is:
250/500=1/2=0.50
We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2
multiply equation 1 by -1
-y=-x</span>²
add equation 1 and equation 2
-y=-x²
y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(x²-x)=2
<span>Complete
the square. Remember to balance the equation by adding the same constants
to each side
</span>(x²-x+0.5²)=2+0.5²
Rewrite as perfect squares
(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1
for x=2
y=x²----> y=2²----> y=4
the point is (2,4)
for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)
the answer isthe solution of the system are the points(2,4) and (-1,1)
Answer: 174in
Step-by-step explanation:
Multiply the feet # by 12 so you get the amount of feet because there are 12 inches in 1 foot.
Finally, add total amount of ribbon and 174inches will be your answer.
