Answer:
Mean of the binomial distribution μ= 6
Variance of the binomial distribution λ² = 4.2
Step-by-step explanation:
<u>Explanation:-</u>
The probability a Gallup poll showed that 30% of Americans are satisfied with the way things are going in the United States.
p = 30% = 0.3
q =1-p = 1- 0.3 =0.7
a sample of 20 Americans is selected as part of a study of the state of the nation
size of the sample 'n' =20
we will use binomial distribution
<u>mean</u>:-
Mean of Americans who are satisfied with the way things are going in the United States (μ) = np
μ= 20 X 0.3
μ= 6
<u>Variance</u>:-
Variance of Americans who are satisfied with the way things are going in the United States λ² = n p q = 20 X(0.3)(0.7)
λ² = 4.2
Answer:
x = 29.9 ft
Step-by-step explanation:
Given:
Rectangle 1 ≈ Rectangle 2
In Rectangle 1
A = 13.4 ft
B = 4.6 ft
In Rectangle 1
A = 87.1 ft
B = x ft
Find:
Value of x
Computation:
Rectangle 1 ≈ Rectangle 2
So,
13.4 / 4.6 = 87.1 / x
x = [(87.1)(4.6)] / 13.4
x = 29.9 ft
Answer:
Evan is correct
Step-by-step explanation:
To find this answer, we can use the formula A=PxW
A=Part, P=Percentage, W=Whole
We can fill in the numbers we know and leave blank (with the variable) the numbers we want to find out
In this scenario, we want to find out if 25 is 125% of 29
So we can use this formula and do the equation like this:
A=1.25x20
This gets us to 25
So Evan is correct!
Hope this helps and please award brainliest if possible!
1. If 1 monster = 7.2 aliens and 1 monster = 15.5 oranges. So we can consider it as 7.2 aliens = 15.5 oranges. To find out how many oranges are equal to 1 alien we need to do this:
1 alien = 15.5 oranges/7.2;
1 alien = 2.15 oranges (approximately).
2. We have everything to solve this problem. So in a scaled drawing 1 mm = 150 m. => 1 m = 1/150 mm on the drawing. Then 1 m^2 = (1/150 mm)^2 =>
1 m^2 = 1/22500 mm^2.
So the answer is 1/22500 mm^2.
3. The formula of the length is S=V*t. where V - the speed and t = the time. We already know that V = 60 mph and t = 8 seconds. But the measure of the speed is miles per hour, so we need to convert 8 seconds to hours.
8 seconds = 8/60 minutes = (8/60)/60 hours;
Our solution looks like this:
1) S = 60 mph * (8/60)/60 hours;
2) S = 8/60 miles;
3) S = 0.13 miles;
Answer is 0.13 miles.
4. First let's find out how many gallons of gas she spent during her trip:
172.5/30 = 5.75 gal;
Now we can find price per gallon:
20,70/5.75 = 3.60$ per gallon;
So the approximate cost of gas in dollars per gallon is 3.60$ per gallon.
Answer:
answer below
Step-by-step explanation:
square and rectangle