Answer:
1/64
Step-by-step explanation:
The mean distance Sarita ran for 5 days = 4.9 miles.
The mean of given data is the summation of all variables divided by the number of variables.
Mean = ∑X/n
where X represents variables and n represents the number of variables.
We have got data for 5 days. The variables are 5 miles, 4 miles, 5.5 miles, 4.5 miles, and 5.5 miles. Number of variables = 5.
∑X = 5 + 4 + 5.5 + 4.5 + 5.5 = 24.5 miles.
n = 5.
∴ Mean = ∑X/n = 24.5/5 = 4.9 miles.
The mean distance Sarita ran for 5 days = 4.9 miles.
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Arithmetic Sequence
The values of a and b is a = 2 and b=3
Step-by-step explanation:
Given the terms of the arithmetic sequence are
2 , a - b , 2a + b + 7, a - 3b
Let the common difference be D
Therefore,
The difference between the first two consecutive terms is
(a – b) – 2 = D ------------------------------( 1 )
The difference between the next two consecutive terms is
D = (2a + b+7) – ( a - b ) ---------------------(2 )
Equating equation 1 and equation 2
⇒ (a – b) -2 =(2a+b+7)-(a-b)
⇒ a – b – 2 = a + 2b +7
⇒ 3b = -9
⇒ b = -3
Similarly
The difference between the next two consecutive terms is
D = (a-3b)-(2a+b+7) ------- (3)
⇒ (a-3b)-(2a+b+7)=(2a+b+7)-(a-b)
⇒ a-3b)-(2a+b+7) -a - 4b -7 === a+2b+7
⇒ 2a = - ( 14 + 6b)
⇒ a = -( 7 + 3b)
⇒ a = - ( 7 – 3*3 )
Thus the value of a = 2
Hence , the values of a and b is a = 2 and b=3
To find the values of a and b in an arithmetic sequence, we can set up a system of equations using the given terms. Solving the system will give us the values of a and b.
Let's use the information given to find the values of a and b. We can set up a system of equations using the first four terms of the arithmetic sequence.
The first term is 2, so we know that: a-b = 2.
The second term is a-b, so we can write: a-b + d = 2a+b+7, where d represents the common difference.
The third term is 2a+b+7, so we have: a-b + 2d = 2a+b+7 + d.
The fourth term is a-3b, so we get: a-b + 3d = a-3b + 2d.
We can solve this system of equations to find the values of a and b.
After simplifying and solving the system, we find that a = 10 and b = 8.
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Answer:
80°
Step-by-step explanation:
<A+<B+<C=180
30+<B+70=180
100+<B=180
<B=180-100
= 80
consider triangle ABC and triangle EDC
AC=CE (given
BC=CD (given
<ACB=<ECD (vertically opposite angles are equal)
therefore triangle ABC is congruent to triangle EDC
<B=<D (CPCT)
Answer:
Subtract 4
Step-by-step explanation:
-3 - 4 = -7
-7 - 4 = -11
-11 - 4 = -15
Answer:
Dan can buy 5 bags for 15 dollars
Step-by-step explanation:
divide 15 and 3 it will equal 5
Answer:
5 packages of blackberries for $15 EUR
Step-by-step explanation:
Solve with SF;
Scale factor is 3/1
y = 1/3x
y = 1/3(15)
y = 15/3
y = 5
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