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
Serga [27]
3 years ago
9

PLEASE HELP!! I’m very confuse

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

Given:

A(16, 4)

B(34, 40)

Line segment AB partition in the ratio 1 : 5.

To find:

The coordinate of a point that partitions AB.

Solution:

Section formula:

$P(x,y)=\left(\frac{m x_{2}+n x_{1}}{m+n}, \frac{m y_{2}+m y_{1}}{m+n}\right)

Here x_1=16, y_1=4, x_2=34, y_2=40 and m = 1, n = 5

$P(x,y)=\left(\frac{1\times 34+5 \times 16}{1+5}, \frac{1\times 40+5 \times4}{1+5}\right)

$P(x,y)=\left(\frac{ 34+80}{6}, \frac{40+20}{6}\right)

$P(x,y)=\left(\frac{ 114}{6}, \frac{60}{6}\right)

$P(x,y)=(19, 10)

The coordinate of point that partitions the segment AB is (19, 10).

You might be interested in
Math question down below
sergiy2304 [10]
I think the answer is 17.5 years

6 0
3 years ago
PLEASE HELP ME I WILL GIVE BRAINLIEST!!!
Svet_ta [14]

Answer:

Step-by-step explanation:

realtionship between distance and time is

distance=time/3

a.distance=time/3

129*3=time

387 s =time

7 0
3 years ago
Read 2 more answers
Use the given confidence interval limits to find the point estimate p^ and the margin of error E. 0.325
diamong [38]

Answer:

0.350

Step-by-step explanation:

Confidence interval = point estimate ± margin of error

Point estimate = Confidence interval - margin of error

To get the margin of error, we will take the average of the difference of the interval given. Given the confidence interval 0.325<p<0.375

Margin of error = 0.375-0.325/2

Margin of error = 0.050/2

Margin of error = 0.025

Using the interval of 0.375

Point estimate = 0.375 - 0.025

Point estimate = 0.350

3 0
3 years ago
A cab charges $1.50 for the flat fee and $0.50 for each mile. Write and solve an inequality to determine how many miles Sharon c
Nuetrik [128]

1.5 + .5x
25-1.5=23.5
23.5/.5 = 47 miles

7 0
3 years ago
A group of 54 college students from a certain liberal arts college were randomly sampled and asked about the number of alcoholic
Ket [755]

Answer:

t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601  

P-value  

First we find the degrees of freedom given by:

df = n-1= 54-1=53

Since is a two-sided test the p value would be:  

p_v =2*P(t_{53}>0.9601)=0.3414  

Step-by-step explanation:

Data given and notation  

\bar X=5.25 represent the sample mean

s=3.98 represent the sample standard deviation

n=54 sample size  

\mu_o =4.73 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean differs from 4.73, the system of hypothesis would be:  

Null hypothesis:\mu =4.73  

Alternative hypothesis:\mu \neq 4.73  

Since we know don't the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{5.25-4.73}{\frac{3.98}{\sqrt{54}}}=0.9601  

P-value  

First we find the degrees of freedom given by:

df = n-1= 54-1=53

Since is a two-sided test the p value would be:  

p_v =2*P(t_{53}>0.9601)=0.3414  

7 0
3 years ago
Other questions:
  • A carpet remnant is shaped like a triangle. It has a height of 32 inches and a base of 8 inches. Write an equation to represent
    15·2 answers
  • A rectangular prism has a volume of 729 ft'. The length, width, and height are all the same. What is the length of each side of
    9·2 answers
  • 1.407 rounded to the nearest whole number is?
    14·1 answer
  • Solve 2x2 + 16x + 34 = 0.
    11·2 answers
  • Rebecca is offered a job as an insurance adjuster at an
    10·1 answer
  • 30 POINTS PLEASE HELP!
    10·2 answers
  • from the top of a cliff 20m high,a boat can be sighted at sea 75m from the foot of the cliff.calculate the angle of depression o
    6·1 answer
  • Pls help will mark as brainlest
    13·1 answer
  • (12) - (23 +131) =<br> Express your answer in the form (a + bi),
    5·1 answer
  • 1 point
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!