Step-by-step explanation:
z-score is:
z = (x − μ) / σ
For the four students:
z = (1990 − 1548) / 319 = 1.39
z = (1280 − 1548) / 319 = -0.84
z = (2240 − 1548) / 319 = 2.17
z = (1450 − 1548) / 319 = -0.31
z-scores are considered significant if they are less than -2 or greater than 2. So the third student's score is unusual.
The dog house consists of two geometric objects, triangular prism and rectangular prism.
First, find the surface area of triangular prism
The triangular prism consists of
base of triangle (b) = 3 ft
height of triangle (h) = 2.5 ft
height of prism or length of rectangle (l) = 4 ft
side of triangle or width of rectangle (w) = 2.5 ft
Now, calculate the area
area of tp = area of two triangle + area of 2 rectangle
area of tp = (2 × 1/2 × b × h) + (2 × l × w)
area of tp = (2 × 1/2 × 3 × 2) + (2 × 4 × 2.5)
area of tp = 6 + 20
area of tp = 26 ft²
Second, find the surface area of rectangular prism
The rectangular prisms consists of
length (l) = 3 ft
width (w) = 4 ft
height (h) = 2 ft
Now, calculate the area
area of rp = area of back and front rectangle + area of left and right rectangle
area of rp = (2 × l × h) + (2 × w × h)
area of rp = (2 × 3 × 2) + (2 × 4 × 2)
area of rp = 12 + 16
area of rp = 28 ft²
Third, add both of the area
area = area of tp + area of rp
area = 26 + 28
area = 54 ft²
The area of the dog house is 54 ft²
Let us say that:
x = weight of llamas
y = weight of okapi
From the problem, we can create the equations:
x + y = 450 -->
1
3 x = y + 190 -->
2
Rewriting equation 1:
x = 450 – y
From equation 2:
3 (450 – y) = y + 190
1350 – 3 y = y + 190
4 y = 1160
y = 290
From equation 1:
x = 450 – 290
x = 160
Therefore a llama weighs 160 kilograms while okapi weigh
290 kilograms on average.
16:6 is an equivalent ratio
Answer:
One
Step-by-step explanation:
The most triangles you can make from three given sides is <em>one</em>.
However, you may not be able to make any.
To form a triangle, the sum of the two smaller sides must be <em>greater than</em> the longest side.
16 + 11 > 26, so you can form one triangle: an obtuse scalene triangle.
