Answer:
Option A is correct that is
Step-by-step explanation:
We have been given a formula
We will put values of n in
when n=2 we get
when n=3
Therefore, Option A is correct that is
A hot air balloon descends to the ground. The function a(t) = 210 – 15t can be used to describe the altitude of the balloon as i
1 answer:
You might be interested in
The same way.
means it's derivative of function 
with respect to 
means it's derivative of function with respect to 
means it's derivative of function with respect to
The average number of chickens, ducks, rabbits and sheep = 315 per type of animal.
The average number of chickens, ducks and rabbits = 320 per type of animal.
The number of sheep is 60 more than the number of rabbits.
Let us assume number of rabbits = x.
Number of sheep is 60 more than number of rabbits, that is = x+60.
There are half as many ducks as there are rabbits.
Therefore, number of ducks = x/2.
Let us assume number of chickens = y.
Adding number of chickens, number of rabbits, number of sheep and number of ducks and dividing by 4 (because those are four types of animal).
Multiplying both sides by 4, we get
y+x+x+60+x/2 = 1260
Subtracting 60 from both sides
y+x+x+60-60+x/2 = 1260-60
y+x+x+x/2 = 1200.
Combining like terms .
y + 5x/2 = 1200
Multiplying both sides by 2, we get
<em>2y +5x = 2400 ------------equation (1)</em>
Adding number of chickens, number of rabbits and number of ducks and dividing by 3 (because those are three types of animal).
Multiplying both sides by 3, we get
y+x+60+x/2 = 960
Subtracting 60 from both sides
y+ x+x/2 = 900
Combining like terms .
y+ 3x/2 = 900
Multiplying both sides by 2, we get
<em>2y+3x = 1800 --------------------equation (2)</em>
Multiplying first equation by 3 and second equation by -5, we get
(2y +5x = 2400 ) * 3 => 6y +15x = 7200
(2y+3x = 1800) *-5 =>
Adding
6y +15x = 7200
-10x + -15x = -9000.
_________________
-4y = -1800.
Dividing both sides by -4, we get
y=450.
<h3>Therefore, number of chickens are 450 there at the farm.</h3>Answer:
A. <u>Normal</u>
B. <u>30.1</u>, <u>32.9</u>
C. <u>95</u>, <u>5</u>
Step-by-step explanation:
A. The sampling distribution follows a <u>normal</u> distribution
Given that the sample size is large, we have that the sample distribution follows a normal distribution according to the central limit theorem
B. The 95% confidence interval is given as follows;
The number of residents in the study, n = 120 residents
The sample mean, = 31.5 pounds
The standard deviation, s = 7.8 pounds
The z-value for 95% confidence level, z = 1.96
Therefore, we get;
C.I. = 31.5 ± 1.96 × 7.8/√(120)
The 95% C.I. ≈ 30.1 ≤ ≤ 32.9
Therefore, we have that with 95% confidence, the population mean number of pounds per person per week is between <u>30.1</u> and <u>32.9</u>
C. Therefore, according to the central limit theorem, about <u>95</u> percent of the groups of 120 will contain the true population mean number of pounds of trash generated per person per week and about <u>5</u> percent will not contain the true population mean number of pounds of trash generated per person per week.