Answer: Arun is now 20, Shree is 10 years old
Step-by-step explanation:
In the system of equations Arun's age is a. Shree is s
a = 2s .(current age equation) Subtract 5 from each for five years ago,
a-5 = 3(s-5) . Substitute 2s for a in the second equation
2s -5 = 3(s-5) distribute and reorganize
2s-5 = 3s -15 . 15 - 5 = 3s - 2s
10 = s . Substitute into the first equation to find a
a = 2(10)
a = 20
5 years ago Shree was 5 and Arun was 15
Answer:
exact form : x
= ±
√
118
−
6
Decimal form : x
= 4.86278049 or −
16.86278049
Step-by-step explanation:
Use the formula (
b
/2
)
^2 in order to create a new term. Solve for x by using this term to complete the square.
Answer: in 95% of races, his finishing time will be between 62 and 64 seconds.
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean . The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 63 seconds and the standard deviation is 5 seconds.
2 standard deviations = 2 × 0.5 = 1
63 - 1 = 62 seconds
63 + 1 = 64 seconds
Therefore, in 95% of races, his finishing time will be between 62 and 64 seconds.
Answer: The correct option is (C). an exterior angle.
Step-by-step explanation: We are to select the name of the new angle that is created by extending one side of a triangle.
Let ABC be a triangle as shown in the attached figure.
∠ABC, ∠ACB and ∠BAC are three interior angles of the triangle ABC.
Let us extend the side BC towards C to point D. The newly created angle is ∠ACD.
∠ACD is called the exterior angle of ΔABC.
Therefore, the newly created angle is an exterior angle.
Thus, option (C) is correct.