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
Leona [35]
3 years ago
11

Ine segment AB has endpoints A(–4, –10) and B(–11, –7). To find the x-coordinate of the point that divides the directed line seg

ment in a 3:4 ratio, the formula x = (x2 – x1) + x1 was used to find that x = (–11 – (–4)) + (–4).
Therefore, the x-coordinate of the point that divides AB into a 3:4 ratio is
Mathematics
2 answers:
Ivenika [448]3 years ago
7 0

Answer:

-7

Step-by-step explanation:

The coordinates of the point wich divide the segment AB, where A(x_A,y_A),\ B(x_B,y_B) in ratio m:n can be calculated using formula

C\left(\dfrac{nx_A+mx_B}{m+n},\dfrac{ny_A+my_B}{m+n}\right)

In your case,

A(-4,-10)\\ \\B(-11,-7)\\ \\m:n=3:4\Rightarrow m=3,\ n=4

Hence,

C\left(\dfrac{4\cdot (-4)+3\cdot (-11)}{3+4},\dfrac{4\cdot (-10)+3\cdot (-7)}{3+4}\right)\\ \\C\left(-\dfrac{49}{7},-\dfrac{61}{7}\right)\\ \\C\left(-7,-\dfrac{61}{7}\right)

Therefore, x-coordinate of the point that divides AB into a 3:4 ratio is -7.

denpristay [2]3 years ago
7 0

Answer:

a) -7

Step-by-step explanation:

made 100%

You might be interested in
<img src="https://tex.z-dn.net/?f=3%281-3x%29%3D-7%2Bx" id="TexFormula1" title="3(1-3x)=-7+x" alt="3(1-3x)=-7+x" align="absmiddl
MaRussiya [10]
<h3 /><h3>3(1 - 3x) =  - 7 + x \\ 3 - 9x =  - 7    + x \\ 3 + 7 = x + 9x \\ 10 = 10x \\ x =  \frac{10}{10}  \\ x = 1</h3>

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em><em> ❤️</em><em>✌ </em>

8 0
2 years ago
The area of a square garden is 36 square feet. What is the side length of the garden
soldi70 [24.7K]

Answer:

6

Step-by-step explanation:

because 6 times 6 =36 so the answer is 6

4 0
3 years ago
Read 2 more answers
5.2.14. For the negative binomial pdf p (k; p, r) = k+r−1 (1 − p)kpr, find the maximum likelihood k estimator for p if r is know
Volgvan

Answer:

\hat p = \frac{r}{\bar x +r}

Step-by-step explanation:

A negative binomial random variable "is the number X of repeated trials to produce r successes in a negative binomial experiment. The probability distribution of a negative binomial random variable is called a negative binomial distribution, this distribution is known as the Pascal distribution".

And the probability mass function is given by:

P(X=x) = (x+r-1 C k)p^r (1-p)^{x}

Where r represent the number successes after the k failures and p is the probability of a success on any given trial.

Solution to the problem

For this case the likehoof function is given by:

L(\theta , x_i) = \prod_{i=1}^n f(\theta ,x_i)

If we replace the mass function we got:

L(p, x_i) = \prod_{i=1}^n (x_i +r-1 C k) p^r (1-p)^{x_i}

When we take the derivate of the likehood function we got:

l(p,x_i) = \sum_{i=1}^n [log (x_i +r-1 C k) + r log(p) + x_i log(1-p)]

And in order to estimate the likehood estimator for p we need to take the derivate from the last expression and we got:

\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\frac{x_i}{1-p}

And we can separete the sum and we got:

\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\sum_{i=1}^n \frac{x_i}{1-p}

Now we need to find the critical point setting equal to zero this derivate and we got:

\frac{dl(p,x_i)}{dp} = \sum_{i=1}^n \frac{r}{p} -\sum_{i=1}^n \frac{x_i}{1-p}=0

\sum_{i=1}^n \frac{r}{p} =\sum_{i=1}^n \frac{x_i}{1-p}

For the left and right part of the expression we just have this using the properties for a sum and taking in count that p is a fixed value:

\frac{nr}{p}= \frac{\sum_{i=1}^n x_i}{1-p}

Now we need to solve the value of \hat p from the last equation like this:

nr(1-p) = p \sum_{i=1}^n x_i

nr -nrp =p \sum_{i=1}^n x_i

p \sum_{i=1}^n x_i +nrp = nr

p[\sum_{i=1}^n x_i +nr]= nr

And if we solve for \hat p we got:

\hat p = \frac{nr}{\sum_{i=1}^n x_i +nr}

And if we divide numerator and denominator by n we got:

\hat p = \frac{r}{\bar x +r}

Since \bar x = \frac{\sum_{i=1}^n x_i}{n}

4 0
3 years ago
Javier walks up to a tank of water that can hold up to 10 gallons. When it is active, a drain empties water from the tank at a c
kap26 [50]

Hello, Bellaroyalball, your answer would be,

4 1/2 minutes before Jada arrived

I hope this helps you - Astralyradele

5 0
2 years ago
When Victoria goes bowling, her scores are normally distributed with a mean of 130
Artemon [7]

Answer:

0.2377 or about a 23.77% chance

Step-by-step explanation:

P(123<X<130) = normalcdf(123,130,130,11) = 0.2377303466 ≈ 0.2377

Therefore, the probability that the next game Victoria bowls, her score will be  between 123 and 130 is 0.2377 or about a 23.77% chance

5 0
3 years ago
Other questions:
  • Four friends stay at the Pickled Parrot Hotel for a night and each
    12·1 answer
  • Jake shows that △ △ C B A is congruent to △ △ A D C by rotating △ 180° △ C B A 180 ° around point C so it matches up with △ △ A
    5·1 answer
  • Anyone down to play nitro type with me?
    8·2 answers
  • A rectangular porch has a width that is 7 feet less than the length. If the area of the porch floor is 120 square feet, what is
    10·1 answer
  • Find the Unit Rate
    13·1 answer
  • My math teacher gave me a integer math problem and here is the example please respond i am so confused . Sonny has $75 to spend.
    11·2 answers
  • Vladimir buys 1.20 pounds of Skittles, 7.2 pounds of M&amp;Ms, and 5.2 pounds of pretzels. If the candy cost $1.20 a pound and t
    8·1 answer
  • Find the product of two numbers whose sum is 11 and difference is 3.
    13·2 answers
  • 20 POINTS
    15·2 answers
  • Probability of rolling a 6 with two dice one with values 1, 2, 2, 3, 3, 4 and 1, 3, 4, 5, 6, 8
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!