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
OlgaM077 [116]
3 years ago
9

Write the equation of the line through points (5, 5) and (1, 0)

Mathematics
1 answer:
Anni [7]3 years ago
7 0
(5,5)(1,0)
slope(m) = (0 - 5) / (1 - 5) = -5/-4 = 5/4

y = mx + b
slope(m) = 5/4
(5,5)...x = 5 and y = 5
now we sub and find b, the y int
5 = 5/4(5) + b
5 = 25/4 + b
5 - 25/4 = b
20/4 - 25/4 = b
-5/4 = b

so ur equation is : y = 5/4x - 5/4
You might be interested in
What is 7/12 - 1/3?
Alexxandr [17]
0.25 or 1/4 as a fraction
4 0
3 years ago
Read 2 more answers
Are they congruent? 50 points please help ​
KengaRu [80]

Answer:

Yes

Step-by-step explanation:

they were just dilated differently

5 0
2 years ago
Read 2 more answers
Suppose that you are in charge of evaluating teacher performance at a large elementary school. One tool you have for this evalua
Strike441 [17]

Answer:

a) Standard error = 2

b) Range = (76.08, 83.92)

c) P=0.69

d) Smaller

e) Greater

Step-by-step explanation:

a) When we have a sample taken out of the population, the standard error of the mean is calculated as:

\sigma_m=\dfrac{\sigma}{\sqrt{n}}=\dfrac{10}{\sqrt{25}}=\dfrac{10}{5}=2

where n is te sample size (n=25) and σ is the population standard deviation (σ=10).

Then, the standard error of the classroom average score is 2.

b) The calculations for this range are the same that for the confidence interval, with the difference that we know the population mean.

The population standard deviation is know and is σ=10.

The population mean is M=80.

The sample size is N=25.

The standard error of the mean is σM=2.

The z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_M=1.96 \cdot 2=3.92

Then, the lower and upper bounds of the confidence interval are:

LL=M-t \cdot s_M = 80-3.92=76.08\\\\UL=M+t \cdot s_M = 80+3.92=83.92

The range that we expect the average classroom test score to fall 95% of the time is (76.08, 83.92).

c) We can calculate this by calculating the z-score of X=79.

z=\dfrac{X-\mu}{\sigma}=\dfrac{79-80}{2}=\dfrac{-1}{2}=-0.5

Then, the probability of getting a average score of 79 or higher is:

P(X>79)=P(z>-0.5)=0.69146

The approximate probability that a classroom will have an average test score of 79 or higher is 0.69.

d) If the sample is smaller, the standard error is bigger (as the square root of the sample size is in the denominator), so the spread of the probability distribution is more. This results then in a smaller probability for any range.

e) If the population standard deviation is smaller, the standard error for the sample (the classroom) become smaller too. This means that the values are more concentrated around the mean (less spread). This results in a higher probability for every range that include the mean.

6 0
3 years ago
Which of the following characteristics best describes the given function of
grandymaker [24]

Answer:

B

Step-by-step explanation:

it is an exponential function

3 0
2 years ago
Solve (9x-4)^2=18 using the square root method
Damm [24]

Answer:

x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3

Step-by-step explanation:

Solve for x over the real numbers:

(9 x - 4)^2 = 18

Take the square root of both sides:

9 x - 4 = 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)

Add 4 to both sides:

9 x = 4 + 3 sqrt(2) or 9 x - 4 = -3 sqrt(2)

Divide both sides by 9:

x = 4/9 + sqrt(2)/3 or 9 x - 4 = -3 sqrt(2)

Add 4 to both sides:

x = 4/9 + sqrt(2)/3 or 9 x = 4 - 3 sqrt(2)

Divide both sides by 9:

Answer: x = 4/9 + sqrt(2)/3 or x = 4/9 - sqrt(2)/3

7 0
3 years ago
Other questions:
  • Your swim team competes in the 200-meter freestyle relay. The individual times for the four team members are 27.81, 26.89, 26.55
    14·1 answer
  • is a number. As a product of prime factors in index form = 2 × 34 × 3 Work out 32 as a product of prime factors in index form. G
    15·1 answer
  • Draw a model on grid paper to find the product of 3 and 1.4. What is the product?
    5·1 answer
  • Which is a solution for the equation y = 4x + 3?
    5·1 answer
  • (6x^1) ^2 <br> Please show all work
    13·1 answer
  • URGENT!
    12·1 answer
  • A truck driver makes a trip that covers 2,380 km in 28 hours. What is the driver’s average speed in km/h? WRITE YOUR ANSWER IN 3
    5·1 answer
  • Through (2, -1), perp. to y = -2x-3
    6·1 answer
  • Calculate the interest amount for a loan of $800 at 4.25% simple interest for 6 years.
    12·1 answer
  • Find the solution of y=x+3 and y=2x+6
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!