All categories

10 months ago

Find the location of Y, the midpoint of XZ X is located at (3,-9)

Mathematics

1 answer:

Levart [38]10 months ago

3 0

The location of point Y is the point -3 on the number line

Here, we want to find the location of Y

let us say the point 0 represents the origin

The coordinates of point x will be (-9,0) while the coordinates of point z will be (3,0)

To find the location of Y , we proceed to use the midpoint formula as follows;

$(x,y)=\frac{x_{1\text{ }}+x_2}{2},\frac{y_{1\text{ }}+y_2}{2}$

Thus, we have;

(-9 + 3)/2 , (0 + 0)/2

= -6/2 , 0

= (-3 , 0)

You might be interested in

An exponential random variable has a standard deviation of 16. Calculate The probability that it takes on a value < 11. Use 3

antiseptic1488 [7]

Answer:

$P(X$

And using the cdf we got:

$P(X$

Step-by-step explanation:

Previous concepts

The exponential distribution is "the probability distribution of the time between events in a Poisson process (a process in which events occur continuously and independently at a constant average rate). It is a particular case of the gamma distribution". The probability density function is given by:

$P(X=x)=\lambda e^{-\lambda x}, x>0$

And 0 for other case. Let X the random variable that represent the random variable of interest and we know that the distribution is given by:

$X \sim Exp(\lambda)$

We know the variance on this case given by :

$Var(X) = \frac{1}{\lambda^2}$

So then the deviation is given by:

$Sd(X) = \frac{1}{\sqrt{\lambda}}$

And if we solve for $\lambda$ we got:

$\lambda = (\frac{1}{16})^2 = \frac{1}{256}$

The cumulative distribution function for the exponential distribution is given by:

$F(x) = 1- e^{-\lambda x}$

Solution to the problem

And for this case we want to find this probability:

$P(X$

And using the cdf we got:

$P(X$

5 0

3 years ago

A _______ is a set of characters that uses the same typeface.

eimsori [14]

A font is a set of characters that uses the same typeface.It is a specific typeface of a fix size and style. An example is, a font may be Arial 12 pt bold, while another font may be Times New Roman 14 pt italic. According to Merriam dictionary, font is an assortment or set of type or charactersall of one style and sometimes one size.

4 0

3 years ago

Would someone help me with this question please?

umka2103 [35]

Answer:

Step-by-step explanation:

Root is the opposite of a power of 2.

Find 7 to the power of 2 to find the number inside:

7^2 = 7 * 7 = 49

49 is your answer, or B)

5 0

3 years ago

Read 2 more answers

What is the prime factorization of 135?

Brums [2.3K]

135 is a composite number.

135 = 1 x 135, 3 x 45, 5 x 27, or 9 x 15.

Factors of 135: 1, 3, 5, 9, 15, 27, 45, 135.

Prime factorization: 135 = 3 x 3 x 3 x 5, which can also be written 135 = 3³ x 5

3 0

3 years ago

Item 12 You win an online auction for a toy. Your winning bid of $52 is 65% of your maximum bid. How much more were you willing

nataly862011 [7]

Answer:

$28

Step-by-step explanation:

Given that:

Value of Winning bid = $52

Winning bid 65% of the maximum bid.

To find:

How much more is the maximum bid from the winning bid ?

Solution:

We are given that the winning bid is 65% of the maximum bid.

Using this percentage value, we need to first find the value of maximum bid and then we need to subtract the value of winning bid from the maximum bid to find the answer.

Let the value of maximum bid = $ $x$

As per question statement:

$65%\ of\ x = 52\\\Rightarrow \dfrac{65}{100} \times x =52\\\Rightarrow 5x = 400\\\Rightarrow x = \dfrac{400}{5}\\\Rightarrow x =\$80$

Therefore, maximum bid = $80

Our answer is:

$80 - $52 = <em>$28</em>

5 0

3 years ago