Step-by-step explanation:
-(-5x + 3) = 17
5x - 3 = 17
5x = 20
x = 4.
Step-by-step explanation:
Hope it helps you in your learning process.
Mean, m = 18 in
Standard deviation, SD = 2.2 in
Range: 16 ≤ X ≤ 21 in
Calculating Z value,
Z = (X-m)/SD
Then,
Z1 = (16-18)/2.2 ≈ -0.91
Z2 = (21-18)/2.2 ≈ 1.36
From Z table, and at Z1 = -0.91, and Z2 = 1.36;
P(16) = 0.1814
P(21) = 0.9131
Therefore,
P(16≤X≤21) = 0.9131 - 0.1814 = 0.7317
The probability that a child selected randomly measures between 16 and 21 in is 0.7317.
Answer:2, -2
Step-by-step explanation:
Answer:
The sum of the interior angles of a triangle is 180 degrees.
d. Scalene
e. Isosceles
f. Isosceles
g. Equilateral
h. Scalene
i. Equilateral
j. Right
l. Acute
m. Obtuse - doesn't add to 180 not a triangle
n. Acute - doesn't add to 180 not a triangle
o. Obtuse
Step-by-step explanation:
The interior angles of a triangle add to 180 degrees. There are two ways we classify triangle by side lengths and angle measures.
Side lengths: Compare the side lengths and see if any are equal to determine the type.
- Scalene: 3 different lengths
- Isosceles: 2 equal lengths and 1 different
- Equilateral : 3 equal sides
Angle Measures: Compare the angles measures to 90 degrees.
- Right: If one angle is equal to 90
- Acute: All angles are less than 90 degrees
- Obtuse: One angle is greater than 90 degrees
