The sum of two consecutive even integers is a+(a+2) and divided by four is
(a+(a+2))/4 = 189.5
(2a+2)/4 = 189.5
2a+2 = 189.5 * 4
2a+2 = 758
2a = 758 - 2
2a = 756
a = 756/2 = 378
first number is a = 378
second number is a+2 = 378+2 = 380
Answer:
The standard deviation for the distribution of scores is 6.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 78
We are given that the distribution of score is a bell shaped distribution that is a normal distribution.
Empirical Formula:
- Almost all the data lies within three standard deviation from mean for a normal data.
- for this rule almost all the data lies within on tandard deviation from the mean.
68% of the scores fall between 72 and 84, thus, we can write:

Thus, the standard deviation for the distribution of scores is 6.
GIVEN
the dimensions ofrectangular prism are
length = 54 in
breadth = 32.25in
height = 24.5 in
formula
volume of the rectangular prism = length×breadth×height
= 54 ×32.25×24.5
= 42997.5 in³
first statement is false because the volume of the rectangular prism in two significant digit.
Second statement is false because the volume of the rectangular prism in two significant digit.
FORMULA
surface area of a rectangular prism = 2(wl+hl+hw)
by putting the value of the length , breadth & height
we get
= 2 (54×32.25 + 32.25×24.5 + 24.5×54)
= 7709.25 in²
= 7709.3 in²(approx)
Third statement is true the surface area of the container is rounded to ones place.
Hence proved
Answer:
The answer to your question is below
Step-by-step explanation:
Data
Equation 25x² + 64y² = 1600
Process
1.- Divide all the equation by 1600
25x²/1600 + 64y²/ 1600 = 1600/1600
-Simplify
x²/64 + y²/ 25 = 1
2.- Equation of a horizontal ellipse

3.- Find a, b and c
a² = 64 a = 8
b² = 25 b = 5
-Calculate c with the Pythagorean theorem
a² = b² + c²
-Solve for c
c² = a² - b²
-Substitution
c² = 8² - 5²
-Simplification
c² = 64 - 25
c² = 39
-Result
c = √13
4.- Find the center
C = (0, 0)
5.- Find the vertices
V1 = (-8, 0) V2 = (8, 0)
6.- Find the foci
F1 = (-√13, 0) F2 = (√13, 0)
Answer:
$0.85
Step-by-step explanation:
2 juice pouches- $2.50
3c+2.50=5.05 (c is for bags of chips)
3c=5.05-2.50
3c=2.55
c= $0.85
So one bag of chip is $0.85