Given statement is False, if a light cost $3, it could be either Green or Yellow.
Converse: If the light bulb was Yellow, then the cost was $3 = True
Contrapositive makes both statements negative and switches the order of the original statement.
So something like: If the light bulb is not yellow, then the cost would not be $3 = False because two colors cost the $3.
Inverse makes both statements negative but keeps the same order.
Something like : If the light bulb did not cost$3 then the light bulb was not yellow = False because two colors cost the $3.
The given system of equation has no solution.
<u>Step-by-step explanation</u>:
<u><em>step 1</em></u><em> :</em>
The given equations are 4x + 2y = 14 and 2x + y = 7.
<u><em>step 2</em></u><em> :</em>
Let 4x + 2y = 14 be the first equation.
Let 2x + y = 7 be the second equation.
The solution (x,y) can be determined by solving the two equations, if only the given two equations are different.
<u><em>step 3</em></u><em> :</em>
In first equation taking 2 out as a common factor on both sides, the equation becomes:
2 (2x + y) = 2 (7)
So, the first equation resembles the second one.
<u><em>step 4</em></u><em> :</em>
Since both the equations are similar, they cannot be solved to get a solution. Therefore, the system of equation has no solution which is also known as inconsistent.
Answer: Mean = 5.25
Variance = 1.3125
Standard deviation = 1.456
Step-by-step explanation:
The mean and variance of a binomial distribution with parameters n (number of trials) and p ( the probability of getting success in each trial) is given by :-
![\text{Mean}=np\\\\\text{Variance}=np(1-p)](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3Dnp%5C%5C%5C%5C%5Ctext%7BVariance%7D%3Dnp%281-p%29)
Given : The total number of enter a clothing store : n=7
The probability of a customer making a purchase= 0.75
Now,
![\text{Mean}=7(0.75)=5.25\\\\\text{Variance}=7(0.75)(0.25)=1.3125\\\\\Rightarrow\ \text{Standard deviation}=\sqrt{1.3125}=1.14564392374\approx1.1456](https://tex.z-dn.net/?f=%5Ctext%7BMean%7D%3D7%280.75%29%3D5.25%5C%5C%5C%5C%5Ctext%7BVariance%7D%3D7%280.75%29%280.25%29%3D1.3125%5C%5C%5C%5C%5CRightarrow%5C%20%5Ctext%7BStandard%20deviation%7D%3D%5Csqrt%7B1.3125%7D%3D1.14564392374%5Capprox1.1456)
Answer:
option B. ![x=38^o](https://tex.z-dn.net/?f=x%3D38%5Eo)
Step-by-step explanation:
we know that
1) The two diagonals of a rhombus are perpendicular
2) The sum of the interior angles in any triangle must be equal to 180 degrees
Let
O ----> the intersection point of the diagonals of the rhombus
In the right triangle OAD
![x^o+(x+14)^o+90^o=180^o](https://tex.z-dn.net/?f=x%5Eo%2B%28x%2B14%29%5Eo%2B90%5Eo%3D180%5Eo)
solve for x
![x^o+(x+14)^o=90^o](https://tex.z-dn.net/?f=x%5Eo%2B%28x%2B14%29%5Eo%3D90%5Eo)
![2x=90^o-14^o](https://tex.z-dn.net/?f=2x%3D90%5Eo-14%5Eo)
![2x=76^o](https://tex.z-dn.net/?f=2x%3D76%5Eo)
![x=38^o](https://tex.z-dn.net/?f=x%3D38%5Eo)
Answer:
60
Step-by-step explanation:
First we divide 5 from 20 then we get 4 so 4 x 15 would be 60.