I'll give brainliest to whoever answers the question correctly!!!!

Kendall recently received a job offer which required him to move his house full of furniture across the country from Columbia, S

Valentin [98]

X,y
1092, 109
671, 67
985, 99
The rate is 10.02 and I found that by dividing x with y

6 0

3 years ago

Read 2 more answers

Which of the following statements is not true? A. If the probability of an event occurring is 0, then it is impossible for tha

FromTheMoon [43]

Answer:

C. If the probability of an event occurring is 1.5, then it is certain that the event will occur.

Step-by-step explanation:

Probability is a value between 0 and 1 (including both values). Thus, to say that there is a probability of 1.5 is not correct, and, therefore, this statement is not true.

We can rewrite the statement as "If the probability of an event occurring is 1, then it is completely certain that the event will occur."

Statement A.

Suppose the event is A. Then, if P(A) = 0, it is completely certain that the event will not occur. It is true.

Statement B.

$\\ if P(A) = 0\;then\;P(\overline{A}) = 1 - 0 = 1$ . Then, the statement is true.

Statement C.

We already explained the statement C is not true because the values for probabilities are between 0 and 1 (including both values). A probability of 1.5 is meaningless as a result.

Statement D.

For the same reason explained in C, the probability can never be a negative value. So, this statement is also true.

4 0

2 years ago

Suppose the roots of the polynomial $x^2 - mx + n$ are positive prime integers (not necessarily distinct). Given that $m < 20

Vsevolod [243]

Answer:

18 values for n are possible.

Step-by-step explanation:

Given the quadratic polynomial:

$x^2 - mx + n$

such that:

Roots are positive prime integers and

$m < 20$

To find:

How many possible values of $n$ are there ?

Solution:

First of all, let us have a look at the sum and product of a quadratic equation.

If the quadratic equation is:

$Ax^{2} +Bx+C$

and the roots are: $\alpha$ and $\beta$

Then sum of roots, $\alpha+\beta = -\frac{B}{A}$

Product of roots, $\alpha \beta = \frac{C}{A}$

Comparing the given equation with standard equation, we get:

A = 1, B = -m and C = n

Sum of roots, $\alpha+\beta = -\frac{-m}{1} = m$

Product of roots, $\alpha \beta = \frac{n}{1} = n$

We are given that $m$

$\alpha$ and $\beta$ are positive prime integers such that their sum is less than 20.

Let us have a look at some of the positive prime integers:

2, 3, 5, 7, 11, 13, 17, 23, 29, .....

Now, we have to choose two such prime integers from above list such that their sum is less than 20 and the roots can be repetitive as well.

So, possible combinations and possible value of $n (= \alpha \times \beta)$ are:

$1.\ 2, 2\Rightarrow n = 2\times 2 = 4\\2.\ 2, 3 \Rightarrow n = 6\\3.\ 2, 5 \Rightarrow n = 10\\4.\ 2, 7\Rightarrow n = 14\\5.\ 2, 11 \Rightarrow n = 22\\6.\ 2, 13 \Rightarrow n = 26\\7.\ 2, 17 \Rightarrow n = 34\\8.\ 3, 3\Rightarrow n = 3\times 3 = 9\\9.\ 3, 5 \Rightarrow n = 15\\10.\ 3, 7 \Rightarrow n = 21\\$

$11.\ 3, 11\Rightarrow n = 33\\12.\ 3, 13 \Rightarrow n = 39\\13.\ 5, 5 \Rightarrow n = 25\\14.\ 5, 7 \Rightarrow n = 35\\15.\ 5, 11 \Rightarrow n = 55\\16.\ 5, 13 \Rightarrow n = 65\\17.\ 7, 7 \Rightarrow n = 49\\18.\ 7, 11 \Rightarrow n = 77$

So,as shown above 18 values for n are possible.

3 0

2 years ago

If a height of a cone is doubled then keeping the same radius how much time the volume will increase

vaieri [72.5K]

Volume of cone = pi* r^2 *h/3

If you double the height ;
New volume = pi * r^2 * 2h/3

So, new volume will be twice as much.

7 0

3 years ago

Triangle CAT is transformed to produce triangle DOG.

PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

A reflection, then a translation.
A rotation, then a reflection.

--------------------------

Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.

--------------------------

Thus, from the bullet points above, the correct options are:

A reflection, then a translation.
A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

3 0

2 years ago