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
Harlamova29_29 [7]
3 years ago
11

What is the slope I. Need it

Mathematics
1 answer:
lozanna [386]3 years ago
8 0
HEY! So, simply pick 2 exact yet random points on the line.

I picked :  (20,50) and (80,90)

Slope equation : y₂-y₁ / x₂-x₁

Plug in the numbers.

m = 90 - 50 / 80 - 20

Simplify.

m = 40/60

Simplify.

m = 4/6

Simplify.

m = 2/3

~Hope I helped!~
You might be interested in
Help me examine this stem and leaf plot!
yarga [219]
Here is your answer.

6 0
3 years ago
A bank with a branch located in a commercial district of a city has the business objective of developing an improved process for
tatiyna

Answer:

(a) The test statistic value is -4.123.

(b) The critical values of <em>t</em> are ± 2.052.

Step-by-step explanation:

In this case we need to determine whether there is evidence of a difference in the mean waiting time between the two branches.

The hypothesis can be defined as follows:

<em>H₀</em>: There is no difference in the mean waiting time between the two branches, i.e. <em>μ</em>₁ - <em>μ</em>₂ = 0.

<em>Hₐ</em>: There is a difference in the mean waiting time between the two branches, i.e. <em>μ</em>₁ - <em>μ</em>₂ ≠ 0.

The data collected for 15 randomly selected customers, from bank 1 is:

S = {4.21, 5.55, 3.02, 5.13, 4.77, 2.34, 3.54, 3.20, 4.50, 6.10, 0.38, 5.12, 6.46, 6.19, 3.79}

Compute the sample mean and sample standard deviation for Bank 1 as follows:

\bar x_{1}=\frac{1}{n_{1}}\sum X_{1}=\frac{1}{15}[4.21+5.55+...+3.79]=4.29

s_{1}=\sqrt{\frac{1}{n_{1}-1}\sum (X_{1}-\bar x_{1})^{2}}\\=\sqrt{\frac{1}{15-1}[(4.21-4.29)^{2}+(5.55-4.29)^{2}+...+(3.79-4.29)^{2}]}\\=1.64

The data collected for 15 randomly selected customers, from bank 2 is:

S = {9.66 , 5.90 , 8.02 , 5.79 , 8.73 , 3.82 , 8.01 , 8.35 , 10.49 , 6.68 , 5.64 , 4.08 , 6.17 , 9.91 , 5.47}

Compute the sample mean and sample standard deviation for Bank 2 as follows:

\bar x_{2}=\frac{1}{n_{2}}\sum X_{2}=\frac{1}{15}[9.66+5.90+...+5.47]=7.11

s_{2}=\sqrt{\frac{1}{n_{2}-1}\sum (X_{2}-\bar x_{2})^{2}}\\=\sqrt{\frac{1}{15-1}[(9.66-7.11)^{2}+(5.90-7.11)^{2}+...+(5.47-7.11)^{2}]}\\=2.08

(a)

It is provided that the population variances are not equal. And since the value of population variances are not provided we will use a <em>t</em>-test for two means.

Compute the test statistic value as follows:

t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}}}

  =\frac{4.29-7.11}{\sqrt{\frac{1.64^{2}}{15}+\frac{2.08^{2}}{15}}}

  =-4.123

Thus, the test statistic value is -4.123.

(b)

The degrees of freedom of the test is:

m=\frac{[\frac{s_{1}^{2}}{n_{1}}+\frac{s_{2}^{2}}{n_{2}}]^{2}}{\frac{(\frac{s_{1}^{2}}{n_{1}})^{2}}{n_{1}-1}+\frac{(\frac{s_{2}^{2}}{n_{2}})^{2}}{n_{2}-1}}

   =\frac{[\frac{1.64^{2}}{15}+\frac{2.08^{2}}{15}]^{2}}{\frac{(\frac{1.64^{2}}{15})^{2}}{15-1}+\frac{(\frac{2.08^{2}}{15})^{2}}{15-1}}

   =26.55\\\approx 27

Compute the critical value for <em>α</em> = 0.05 as follows:

t_{\alpha/2, m}=t_{0.025, 27}=\pm2.052

*Use a <em>t</em>-table for the values.

Thus, the critical values of <em>t</em> are ± 2.052.

3 0
3 years ago
∠BCD is reflected over the x-axis. If m∠BCD = 35°, what is the measure of ∠BʹCʹDʹ ?
SashulF [63]
The angle should not change. 35 degrees
6 0
3 years ago
How many inches are in 1.25 yards if there are 36 inches in 1 yard
OLEGan [10]

Answer:

45

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
[GEOMETRY] If m∠DEG= 5x - 4 m∠GEF=7x - 8 m∠DEH= 9y + 5 find the values of x and y
IgorLugansk [536]

we are given

DEF is a line

so, sum of angles must be 180

angle(DEG)+angle(GEF)=180

now, we can plug values

5x-4+7x-8=180

12x-12=180

12x=192

x=16.........Answer

vertically opposite angle must be equal

angle(GEF)=angle(DEH)

now, we can plug values

9y+5=7x-8

now, we can plug x=16

9y+5=7*16-8

9y+5=104

9y=99

y=11...................Answer


9 0
3 years ago
Other questions:
  • Krista lives 1/2 mile from school.
    7·2 answers
  • A full container of juice holds 64 fluid ounces.How many 7 fluid ounce servings of juice are in a full container?
    5·1 answer
  • If x to the 2nd power equal 60, What is the value of x
    9·1 answer
  • 3. Write an equation of a line that is perpendicular to the line x – 2y = 8.
    10·1 answer
  • Select the correct answer.
    6·1 answer
  • Which is the largest decimal? Please explain.<br> 0.267<br> 0.530000<br> 0.407<br> 0.000011
    9·1 answer
  • it takes 8 labours 6days to complete a certain job.how many labours would complete the job in 15 days.​
    5·1 answer
  • SOMEONE PLEASE HELP ME ASAP WITH THIS AND SHOW WORK
    13·1 answer
  • Error Analysis! Answer both parts of the question.
    12·1 answer
  • What is 1.9 to the second power in expanded form?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!