<u>Answer</u>:
-3 is an integer, rational number and real number , so correct option id D) that is all of the above.
<u>Explanation:</u>
Integer is all natural number that a 1 , 2 , 3 , 4 ……. And zero and negative of natural numbers like -1 , -2 , -3 , - 4 ……. So -3 is an integer.
Rational number is the number which can be represented in the form of p/q where p and q are integers and q ≠ 0 . As -3 can be represented as (-3)/1 . hence -3 is also a rational number.
Real number is all number which can be represented on number line. All integers and rational numbers are real numbers . so -3 is also a real number.
Hence as -3 is an integer, rational number and real number , so correct option id D) that is all of the above.
Answer:
1. the translation from the original to the translated figure was 2 units up and 1 unit to the left
2. the points of the translated figure if it were translated 2 units down and 3 units to the right would be: A' (4,0), B' (6,-6), C' (5,3), D' (-1,0)
Step-by-step explanation:
The value of z-score for a score that is three standard deviations above the mean is 3.
In this question,
A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.
Let x be the score
let μ be the mean and
let σ be the standard deviations
Now, x = μ + 3σ
The formula of z-score is
⇒ 
⇒ 
⇒ 
Hence we can conclude that the value of z-score for a score that is three standard deviations above the mean is 3.
Learn more about z-score here
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Answer:
1) If sum of the two smaller sides of a triangle is greater than the third longer side, then its a triangle.
<h3>In our case, 20 + 23 > 41. Hence its a triangle .</h3>
Use the side lengths to classify the triangle as acute, right, or obtuse. Compare the square of the length of the longest side with the sum of the squares of the lengths of the two shorter sides
2) Square root of sum of the squares of the two smaller sides is equal to the third longer side, then its a right triangle.
In our case,
√20^2+23^2≈30.4795<41.
<h3>Hence not a right triangle.</h3>
Since the sum of the squares of the two shorter sides is < the square of the longer side, its an obtuse angle triange
Step-by-step explanation:
Hope it is helpful....
Answer:
About 0.41 hours
Step-by-step explanation:
THe distance between Michael and Clara is 44 km.
We know D = RT,
Where
D is distance
R is rate (speed)
T is time
For Michael, we can write:
D = 47t
For Clara, we can write:
D = 61t
If we let michael's distance be x, Clara's distance would be 44 - x
So, we can say:
x = 47t
and
44 - x = 61t
Putting first equation into 2nd, we get:
44 - 47t = 61t
SOlving:
44 - 47t = 61t
44 = 61t + 47t
44 = 108t
t = 44/108 = 0.41 hours
The commute took 0.41 hours
