Answer:
unknown
Step-by-step explanation:
15 times 3.14
Sum of angles of a linear pair = 180. So angle with measurement 142 and the adjacent angle to it have a sum = 180.
THerefore 142+y=180
Subtracting 142 from both sides
y = 38
Now in the down right sides corner triangle
38+49+w=180
87+w=180
Subtracting 80 from both sides,
w = 93
So the measurement of angle w = 93 .
Use slope formula: y2-y1/x2-x1
XZ: -5/9
YZ: 2/7
XY: -7/2
XYZ is a right triangle because two of these slopes have a product of -1.
(YZ and XY does). We are all busy these days.
Answer:
The probability that a household has at least one of these appliances is 0.95
Step-by-step explanation:
Percentage of households having radios P(R) = 75% = 0.75
Percentage of households having electric irons P(I) = 65% = 0.65
Percentage of households having electric toasters P(T) = 55% = 0.55
Percentage of household having iron and radio P(I∩R) = 50% = 0.5
Percentage of household having radios and toasters P(R∩T) = 40% = 0.40
Percentage of household having iron and toasters P(I∩T) = 30% = 0.30
Percentage of household having all three P(I∩R∩T) = 20% = 0.20
Probability of households having at least one of the appliance can be calculated using the rule:
P(at least one of the three) = P(R) +P(I) + P(T) - P(I∩R) - P(R∩T) - P(I∩T) + P(I∩R∩T)
P(at least one of the three)=0.75 + 0.65 + 0.55 - 0.50 - 0.40 - 0.30 + 0.20 P(at least one of the three) = 0.95
The probability that a household has at least one of these appliances is 0.95
Answer:
a^2 + b^2 + 2ab - (3xy)^1/3
Step-by-step explanation:
Here we want to make a subtraction
Cube root of the product of x and 3y
x * 3y = 3xy
Cube root of this;
(3xy)^1/3
The sum of a and b is (a + b)
Square of this sum;
(a + b)^2 = a^2 + 2ab + b^2
Now, subtract the cube root
we have;
a^2 + b^2 + 2ab - (3xy)^1/3
