The sun is 332608.6957 times bigger than earth, or 3.326086957*10^5 times bigger.
Answer:
974
Step-by-step explanation:
Initial × Increase percentage ^ Time
500 × (1 + 10%)^(70/10)
500 × 1.1^7
= 974.36
The population of the town in 70 years will be 974.
Answer:
The range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].
Step-by-step explanation:
We are given that the lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days and a standard deviation of 17 days.
Let X = <u><em>lengths of pregnancies in a small rural village</em></u>
SO, X ~ Normal(
)
Here,
= population mean = 262 days
= standard deviation = 17 days
<u>Now, the 68-95-99.7 rule states that;</u>
- 68% of the data values lies within one standard deviation points.
- 95% of the data values lies within two standard deviation points.
- 99.7% of the data values lies within three standard deviation points.
So, middle 68% of most pregnancies is represented through the range of within one standard deviation points, that is;
[
,
] = [262 - 17 , 262 + 17]
= [245 days , 279 days]
Hence, the range in which we can expect to find the middle 68% of most pregnancies is [245 days , 279 days].
The point slope equation of a line with slope m through point (h, k) is
y - k = m(x - h)
You have m = 2, h = 3, k = 10. Put those numbers in their place in the equation.
y - 10 = 2(x - 3)
Hey there! :)
Equation 1) 4x = y - 1
Equation 2) 6x - 2y = -3
We want both equations to match in a sense where both x & y are on the same side of the equal sign. To achieve this, simply subtract y from both sides in equation 1.
This will leave us with : 4x - y = -1
Now, line up the equations with one another.
1) 4x - y = -1
2) 6x - 2y = -3
Now, multiply 2 to ALL of equation 1.
2(4x - y = -1)
Simplify.
8x - 2y = -2 → We'll call this new equation 3. Now, line up equation 3 with equation 2.
6x - 2y = -38x - 2y = -2
Subtract equations from one another.
-2x = -1
Divide both sides by -2.
-2x ÷ -2 = -1 ÷ -2
Simplify.
x = 1/2
Now, plug in 1/2 for x into our first equation.
4x - y = -14(1/2) - y = -1
Simplify.
2 - y = -1
Subtract 2 from both sides.
-y = -1 - 2
Simplify.
-y = -3
Divide both sides by -1.
y = 3
So, our answer is : x = 1/2, y = 3 OR (1/2, 3)
~Hope I helped!~