10,000(1+(0.047*5))=12350
Marcus-12350
10,000(1+(0.045*6))=12,700
Gianna-12,700
12,700-12,350=$350 difference
Hey there!
ORIGINAL EQUATION:
0.75(2 + 6 x 4 - 2 × 7 - 2)
WORKING WITHIN the PARENTHESES:
2 + 6 x 4 - 2 × 7 - 2
= 2 + 24 - 2 × 7 - 2
= 26 - 2 × 7 - 2
= 26 - 14 - 2
= 12 - 2
= 10
NEW EQUATION:
0.75(10)
SIMPLIFY IT!
7.50 ≈ 7.5
Therefore, your answer should be: 7.5
~Amphitrite1040:)
For a probability distribution the expected value is the summation of product of probabilities with their respective data values. Let x be the probability that Jackson goes gym for 2 days and y be the probability that he goes gym for 3 days.
For the given case we have following values and their probabilities:
0 : 0.1
2 : x
3 : y
So the expected value will be = 0(0.1) + 2(x) + 3(y)
Expected value is given to be 2.05. So we can write the equation as:
2x + 3y = 2.05 (Equation 1)
Also for a probability distribution, the sum of probabilities must always equal to 1. So we can set up the second equation as:
0.1 + x + y = 1
x + y = 0.9 (Equation 2)
From Equation 2 we can write the value of x to be x = 0.9 - y. Using this value in equation 1, we get:
2(0.9 - y) + 3y = 2.05
1.8 - 2y + 3y = 2.05
1.8 + y = 2.05
y = 0.25
Using the value of y in equation 2 we get value of x to be 0.65
Therefore we can conclude that:
The probability that Jackson goes to gym for 2 days is 0.65 and the probability that he goes to gym for 3 days is 0.25
Step-by-step explanation:
The Pythagorean theorem used in right-angled (equilateral) triangles is a relationship between the sides of a right-angled triangle, where the sum of the square of the legs is equal to the square of the hypotenuse.
If a and b are legs, and c is the hypotenuse, then a2 + b2 = c2.
Because the triangle is right angled, there is no greater side length in the triangle, so an unlimited number of Pythagorean positions can be produced by flipping the sides.
Answer:
Part A). 25 feet
Part B). 16.25 feet
Step-by-step explanation:
Part A). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
AC² = (24)² + 7²
AC² = 576 + 49
AC = √625
= 25 feet
Part B). By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(25)² = (19)² + x²
625 = 361 + x²
x² = 625 - 361
x = √264
x = 16.25 feet
