Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
<h3>What is logical reasoning ?</h3>
Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.
Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:
Statement 1: If I have a Labrador but not a Staffie, I also have a Collie
Statement 2: I either have both a Collie and a Staffie or neither.
Statement 3: If I have a Collie, then I also have a Labrador.
- From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie.
- From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.
- From Statement 3, Barry must have a Labrador if I he has a Collie.
Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.
Learn more about logical reasoning at: brainly.com/question/25175983
Answer:
x = 3 does not actually work, and so: There is No Solution!
so that means -3=X is not a solution.
Answer:
The probability that more than half of the sample would vote for him is P=0.7549.
Step-by-step explanation:
With a sample size of n=300, we can approximate this to the normal distribution.
The parameters will be
We have to calculate the probability that half or more of the sample vote for him. This is P(x>150).
To calculate this probability, first we calculate the z-value:
Then
The probability that more than half of the sample would vote for him is P=0.7549.
To get the solution, we are looking for, we need to point out what we know.
<span>1. We assume, that the number 42.5 is 100% - because it's the output value of the task. </span>
<span>2. We assume, that x is the value we are looking for. </span>
<span>3. If 42.5 is 100%, so we can write it down as 42.5=100%. </span>
<span>4. We know, that x is 76.8% of the output value, so we can write it down as x=76.8%. </span>
5. Now we have two simple equations:
1) 42.5=100%
2) x=76.8%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
42.5/x=100%/76.8%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 76.8% of 42.5
42.5/x=100/76.8
<span>(42.5/x)*x=(100/76.8)*x - </span>we multiply both sides of the equation by x
<span>42.5=1.30208333333*x - </span>we divide both sides of the equation by (1.30208333333) to get x
<span>42.5/1.30208333333=x </span>
<span>32.64=x </span>
x=32.64
<span>now we have: </span>
<span>76.8% of 42.5=32.64</span>
Answer:
y =(v-4)^2 -4
Step-by-step explanation:
vertex form of a parabola is
y = a (v-h)^2 +k
where (h,k) is the vertex
y =a(v-4)^2 +(-4)
y =a(v-4)^2 -4
now substitute another point in to determine a
let's pick 0, 12
12 = a((0-4)^2 -4
add 4 to each side
16 = a * (-4)^2
16 = a*16
divide by 16
a = 1
substitute in what we know
y =1 *(v-4)^2 -4
y =(v-4)^2 -4
