1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GuDViN [60]
3 years ago
5

Use the quadratic formula to find the solutions to the equation. 3x2 - 10x + 5 = 0

Mathematics
2 answers:
krok68 [10]3 years ago
4 0

Answer:

The answer is A 10 +/ \sqrt{40}/6

Step-by-step explanation:

I just took the test

Nitella [24]3 years ago
3 0

Answer: A

Step-by-step explanation:

3x² - 10x + 5 = 0

a = 3      b = -10     c = 5

Δ = b²- 4ac = 100 - 4.3.5 = 40 > 0 => have 2 solutions

=> x = \frac{10+\sqrt{40} }{6} or x = \frac{10-\sqrt{40} }{6}

You might be interested in
Pls answer i will give brainliest pls
Gelneren [198K]

Answer:

B

Step-by-step explanation:

In the slope intercept equation of the line the number that not multiplies the x or the y indicates where the line intercept the y axis

so in this cas the line intercept the y axis in the point (0,2)

so the answer is B

5 0
3 years ago
Please help with the equation
Anastaziya [24]

Answer:

The distance is dependent

Step-by-step explanation:

Time is always the dependent variable because time will always stay the same when other things change, such as distance.

3 0
3 years ago
Please help <br>I will give brainlist ​
beks73 [17]
-3 it’s the rise over run I believe & because it’s going down it’s negative
6 0
2 years ago
Read 2 more answers
What is a linear system?
Darya [45]

Answer:

Linear systems are systems of equations in which the variables are never multiplied with each other but only with constants and then summed up

8 0
3 years ago
Read 2 more answers
The joint probability density function of X and Y is given by fX,Y (x, y) = ( 6 7 x 2 + xy 2 if 0 &lt; x &lt; 1, 0 &lt; y &lt; 2
fredd [130]

I'm going to assume the joint density function is

f_{X,Y}(x,y)=\begin{cases}\frac67(x^2+\frac{xy}2\right)&\text{for }0

a. In order for f_{X,Y} to be a proper probability density function, the integral over its support must be 1.

\displaystyle\int_0^2\int_0^1\frac67\left(x^2+\frac{xy}2\right)\,\mathrm dx\,\mathrm dy=\frac67\int_0^2\left(\frac13+\frac y4\right)\,\mathrm dy=1



b. You get the marginal density f_X by integrating the joint density over all possible values of Y:

f_X(x)=\displaystyle\int_0^2f_{X,Y}(x,y)\,\mathrm dy=\boxed{\begin{cases}\frac67(2x^2+x)&\text{for }0

c. We have

P(X>Y)=\displaystyle\int_0^1\int_0^xf_{X,Y}(x,y)\,\mathrm dy\,\mathrm dx=\int_0^1\frac{15}{14}x^3\,\mathrm dx=\boxed{\frac{15}{56}}

d. We have

\displaystyle P\left(X

and by definition of conditional probability,

P\left(Y>\dfrac12\mid X\frac12\text{ and }X

\displaystyle=\dfrac{28}5\int_{1/2}^2\int_0^{1/2}f_{X,Y}(x,y)\,\mathrm dx\,\mathrm dy=\boxed{\frac{69}{80}}

e. We can find the expectation of X using the marginal distribution found earlier.

E[X]=\displaystyle\int_0^1xf_X(x)\,\mathrm dx=\frac67\int_0^1(2x^2+x)\,\mathrm dx=\boxed{\frac57}

f. This part is cut off, but if you're supposed to find the expectation of Y, there are several ways to do so.

  • Compute the marginal density of Y, then directly compute the expected value.

f_Y(y)=\displaystyle\int_0^1f_{X,Y}(x,y)\,\mathrm dx=\begin{cases}\frac1{14}(4+3y)&\text{for }0

\implies E[Y]=\displaystyle\int_0^2yf_Y(y)\,\mathrm dy=\frac87

  • Compute the conditional density of Y given X=x, then use the law of total expectation.

f_{Y\mid X}(y\mid x)=\dfrac{f_{X,Y}(x,y)}{f_X(x)}=\begin{cases}\frac{2x+y}{4x+2}&\text{for }0

The law of total expectation says

E[Y]=E[E[Y\mid X]]

We have

E[Y\mid X=x]=\displaystyle\int_0^2yf_{Y\mid X}(y\mid x)\,\mathrm dy=\frac{6x+4}{6x+3}=1+\frac1{6x+3}

\implies E[Y\mid X]=1+\dfrac1{6X+3}

This random variable is undefined only when X=-\frac12 which is outside the support of f_X, so we have

E[Y]=E\left[1+\dfrac1{6X+3}\right]=\displaystyle\int_0^1\left(1+\frac1{6x+3}\right)f_X(x)\,\mathrm dx=\frac87

5 0
3 years ago
Other questions:
  • An employee at a cell phone store makes $15 per hour plus a commission of 2.5% of her phone sales. This week she sold 40 phones
    11·1 answer
  • Triangle XYZ has been dilated to form triangle LMN. What is the least amount of information needed to prove the two triangles ar
    11·1 answer
  • What is the slope of the line shown below?
    6·2 answers
  • Graph each pair of parametric equations.<br><br> x = 3 sin3t<br> y = 3 cos3t
    10·1 answer
  • Special precision bolts are made by another machine. These are for jobs that require more exact measurements. The bolts must be
    12·1 answer
  • I need help with algebra please
    5·1 answer
  • Can we say that the larvae of the lady bugs will eat approximately 500 fleas per day
    15·1 answer
  • Insert 2 sets of parentheses to make each sentence true: 2 x 14 - 9 - 17 - 14 = 7
    14·1 answer
  • Hurry please help me
    13·2 answers
  • Find the value of x.<br> 48°<br> (7x + 13)
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!