Answer: 1.5
Step-by-step explanation: The difference between the 2nd And 4th is 7. Divide by 2 to get 3.5. Add 3.5 to f(2) to getf(3)
The difference between f(1) and f(2) will be 3.5 and that's 5-3.5 =1.5
F(5) is 15.5 f(6) is 19
For this case, the first thing we should do is use the following equation:
f (x) = 200 (1.03) ^ x
We substitute f (x) = 300:
300 = 200 (1.03) ^ x
We clear the value of x:
log1.03 (300/200) = log1.03 ((1.03) ^ x)
x = log1.03 (300/200)
x = 13.72
Answer:
the population will first reach 300 in about 13.72 years.
Answer:
278.64cm²
Step-by-step explanation:
Area of the sheet left out = Area of the square - Area of the 9 circles
Area of the square = L^2
L is the side length of the square
A = 36^2
Area of the square = 1296cm^2
Diameter of a circle = 38/3 = 12cm
Area of a circle = πr²
r is the radius = 12/2 = 6cm
Area of a circle = 3.14(6)²
Area of a circle = 3.14 * 36
Area of a circle = 113.04cm²
Area of 9 circles = 9 * 113.04
Area of 9 circles = 1,017.36cm²
Area of the left over = 1296 - 1,017.36
Area of the left over = 278.64cm²
Answer:
Check the explanation
Step-by-step explanation:
Here we have to first of all carry out dependent sample t test. consequently wore goggles first was selected at random for the reason that the reaction time in an emergency taken with goggles would be greater than the amount of reaction time in an emergency taken with not so weakened vision. So that we will get the positive differences d = impaired - normal
b)
To find 95% confidence interval first we need to find sample mean and sample sd for difference d = impaired minus normal.
We can find it using excel that is in the first attached image below,
Therefore sample mean
= 0.98
Sample sd
= 0.3788
To find 95% Confidence interval we can use TI-84 calculator,
Press STAT ----> Scroll to TESTS ---- > Scroll down to 8: T Interval and hit enter.
Kindly check the attached image below.
Therefore we are 95% confident that mean difference in braking time with impaired vision and normal vision is between ( 0.6888 , 1.2712)
Conclusion : As both values in the interval are greater than 0 , mean difference impaired minus normal is not equal to 0
There is significant evidence that there is a difference in braking time with impaired vision and normal vision at 95% confidence level .
I think the answer is 10 because:
6x2=12
12+2x-32=0
make the like terms together = 12-32+2x=0
= -20+2x=0
again make the like terms together = 2x=0+20 [sign changes when it goes to the other side]
so, 2x=20
x=20/2 [ multiplication will change into division when it goes to the other side]
therefore x=10