Answer:
36in²
Step-by-step explanation:
<h3>Area of the White Region: </h3>
A = l * w
The rectangle is 3 by 2.
A = 3 * 2
A = 6
The white part of the rectangle is 6in².
<h3>Area of the blue region:</h3>
A = l * w
The rectangle is 6 by 7.
A = 6*7
A = 42
The blue part of the rectangle is 42in².
<h3>Area of the shaded region:</h3>
[area of the blue part] - [area of the white part]
42 - 6 = 36
The area of the shaded region should be 36in².
The distance between starting and ending point is 34 miles.
Step-by-step explanation:
Given,
Car moves 16 miles to north then 30 mile to east.
It forms a right angle triangle.
The straight line distance from starting to ending point represents hypotenuse.
To find the distance between starting and ending point.
Formula
By <em>Pythagoras theorem,</em>
h² = b²+l² where h is the hypotenuse, b is base and l is the another side.
Taking, b=16 and l=30 we get,
h² = 16²+30²
or, h = 
or, h = 
= 34
Hence,
The distance between starting and ending point is 34 miles.
Answer:
2/3,1,3/2,9/4,27/8
Step-by-step explanation:
f(1)=2/3
f(n)=f(n-1)×3/2
f(2)=f(2-1)×3/2=f(1)×3/2=2/3×3/2=1
f(3)=f(3-1)×3/2=f(2)×3/2=1×3/2=3/2
f(4)=f(4-1)×3/2=f(3)×3/2=3/2×3/2=9/4
f(5)=f(5-1)×3/2=f(4)×3/2=9/4×3/2=27/8
Answer:
The rule of the translation is (x,y) ----> (x+3,y-6)
The coordinates of the duck’s final position are (4,-3)
Step-by-step explanation:
we know that
A duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down
That means -----> The rule of the translation is
3 units right ----> x+3
6 units down ---> y-6
so
(x,y) ----> (x+3,y-6)
To find out the the coordinates of the duck’s final position, apply the rule of the translation to the duck’s original position
so
(1,3) ------> (1+3,3-6)
(1,3) ------> (4,-3)
Answer:
a. There's a 95% chance that the true proportion is in the confidence interval.
Step-by-step explanation:
When we want to estimate a property of a population (a population's parameter), without surveying the population, we use samples.
Then, with the information of the samples we can calculate the statistics and infere properties about a population. This inferences obviously came with some uncertainty, depending on the properties of the sample and specially the sample size.
When we talk about confidence intervals, we use the statistic of the sample (in this case, the mean) to estimate a range of values it is expected to find the true mean of the population. The width of this interval depends on the sample standard deviation and the sample size.
The value of the confidence interval (95%, 99%, etc) represent the probabilty that the true mean is within this interval.
