B.3/10
C.2/15
D.1/30
Answer:
15 phones, option B.
Step-by-step explanation:
A cell phone company orders new phones = 500
The probability of a phone is being defective = 2.9%
2.9% of 500 phones are = × 500
0.029 × 500 = 14.5 rounded to the nearest whole number is 15
The probability of 15 phones are defective out of 500 phones.
Answer:
31. Yes (Y)
WXYZ ~ DABC
S.F.=4
32. Yes (Y)
GHIJ ~ KLMN
S.F.=2/3
33. Missing length: 16
34. Missing length: 30
35. x=7
36. x=10
Step-by-step explanation:
31. The polygons are similar if:
WX/DA=XY/AB
Then:
WX/DA=24/6→WX/DA=4
XY/AB=16/4→XY/AB=4
Like WX/DA=4=XY/AB, the polygons WXYZ and DABC are similar
Scale Factor: S.F.=XY/DA=XY/AB→S.F.=4
32. The polygons are similar if:
GH/KL=HI/LM=IJ/MN=GJ/KN
Then:
GH/KL=6/9=(6/3)/(9/3)→GH/KL=2/3
HI/LM=4/6=(4/2)/(6/2)→HI/LM=2/3
IJ/MN=4/6=(4/2)/(6/2)→IJ/MN=2/3
GJ/KN=4/6=(4/2)/(6/2)→GJ/KN=2/3
Like GH/KL=HI/LM=IJ/MN=GJ/KN=4, the polygons GHIJ and KLMN are similar
Scale Factor: S.F.=GH/KL=HI/LM=IJ/MN=GJ/KN→S.F.=2/3
33. If the polygons are similar, their sides must be proportional, then:
x/24=10/15
Simplifying the fraction on the right sides of the equation, dividing the numerator ans denominator by 5:
x/24=(10/5)/(15/5)
Dividing:
x/24=2/3
Solving for x: Multiplying both sides of the equation by 24:
24(x/24)=24(2/3)
Multiplying:
x=8(2)
x=16
34. If the polygons are similar, their sides must be proportional, then:
54/63=(54/9)/(63/9)→54/63=6/7
48/56=(48/8)/(56/8)→48/56=6/7
x/35=6/7
Solving for x: Multiplying both sides of the equation by 35:
35(x/35)=35(6/7)
Multiplying:
x=5(6)
x=30
36. (8x-2)/63=42/49
Simplifying the fraction on the right sides of the equation, dividing the numerator ans denominator by 7:
(8x-2)/63=(42/7)/(49/7)
Dividing:
(8x-2)/63=6/7
Solving for x: Multiplying both sides of the equation by 63:
63(8x-2)63=63(6/7)
Multiplying:
8x-2=9(6)
8x-2=54
Adding 2 both sides of the equation:
8x-2+2=54+2
Adding:
8x=56
Dividing both sides of the equation by 8:
8x/8=56/8
Dividing:
x=7
37. (6x-6)/63=42/49=30/35
Simplifying the fractions
(6x-6)/63=(42/7)/(49/7)=(30/5)/(35/5)
Dividing:
(6x-6)/63=6/7
Solving for x: Multiplying both sides of the equation by 63:
63(6x-6)63=63(6/7)
Multiplying:
6x-6=9(6)
6x-6=54
Adding 6 both sides of the equation:
6x-6+6=54+6
Adding:
6x=60
Dividing both sides of the equation by 6:
6x/6=60/6
Dividing:
x=10
The slope of a linear line which is passing through the lines (0,-5), (3, -4) , (6,3) is 1/3. The slope of a straight line is the ratio of y values of two points to the difference in x values of the two points.
In mathematics, slope of a line describes the steepness or inclination and the direction of the line. Slope of a line is calculated based on the characteristic of the line.
For straight line passing through some points, the x and y coordinates are related by the following expression:
y = mx +c
Where c is the intercept m be the slope.
For a line passing through two points, the slope m is :
m = y2 - y1 / (x2- x1)
Consider the line passing through the points (0, -5) and (3, -4). The slope m = -4 - (-5) / (3 - 0) = 1/3
Similarly if we consider the points (3, -4) and (6, -3) we get the same slope 1/3.
Find more on slope:
#SPJ3
Answer:
i think the answer is 1/3 but i'm not positive
Step-by-step explanation: