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
crimeas [40]
3 years ago
12

If 3x = y-5 and x = -4, then y=

Mathematics
2 answers:
sveta [45]3 years ago
6 0
3( -4 ) = y - 5
-12 = y - 5
y = -7
Mekhanik [1.2K]3 years ago
3 0

3x=y-5\ \ \ \ |+5\\3x+5=y\to y=3x+5\\\\\text{substitute the value of x to the expression}\\\\y=3(-4)+5=-12+5=-7

Answer: y = -7.

You might be interested in
Solve for b. 95 − 28b = –59 − 29b + 60
Anuta_ua [19.1K]
I believe it is B=24
4 0
2 years ago
A random sample of 20 recent weddings in a country yielded a mean wedding cost of $ 26,388.67. Assume that recent wedding costs
Makovka662 [10]

Answer:

a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40)

.The​ 95% confidence interval is from $22,550.95 to $30,226.40.

b) For the interpretation of the result, option D is correct.

We can be​ 95% confident that the mean​ cost, μ​, of all recent weddings in this country is somewhere within the confidence interval.

c) Option B is correct.

The population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

Step-by-step explanation:

Sample size = 20

Sample Mean = $26,388.67

Sample Standard deviation = $8200

Confidence Interval for the population mean is basically an interval of range of values where the true population mean can be found with a certain level of confidence.

Mathematically,

Confidence Interval = (Sample mean) ± (Margin of error)

Sample Mean = 26,388.67

Margin of Error is the width of the confidence interval about the mean.

It is given mathematically as,

Margin of Error = (Critical value) × (standard Error of the mean)

Critical value will be obtained using the t-distribution. This is because there is no information provided for the population mean and standard deviation.

To find the critical value from the t-tables, we first find the degree of freedom and the significance level.

Degree of freedom = df = n - 1 = 20 - 1 = 19.

Significance level for 95% confidence interval

(100% - 95%)/2 = 2.5% = 0.025

t (0.025, 19) = 2.086 (from the t-tables)

Standard error of the mean = σₓ = (σ/√n)

σ = standard deviation of the sample = 8200

n = sample size = 20

σₓ = (8200/√20) = 1833.6

99% Confidence Interval = (Sample mean) ± [(Critical value) × (standard Error of the mean)]

CI = 26,388.67 ± (2.093 × 1833.6)

CI = 26,388.67 ± 3,837.7248

99% CI = (22,550.9452, 30,226.3948)

99% Confidence interval = (22,550.95, 30,226.40)

a) 95% confidence interval for the mean​cost, μ​, of all recent weddings in this country = (22,550.95, 30,226.40)

.The​ 95% confidence interval is from $22,550.95 to $30,226.40.

b) The interpretation of the confidence interval obtained, just as explained above is that we can be​ 95% confident that the mean​ cost, μ​,of all recent weddings in this country is somewhere within the confidence interval

c) A further explanation would be that the population mean may or may not lie in this​ interval, but we can be​ 95% confident that it does.

Hope this Helps!!!

4 0
3 years ago
Is this a linear function? One person sends an email to 2 people. Those 2 people send it to 4 people, and those 4 send it to 8 p
Mumz [18]
Yes; this is a linear function because you plug in a number and multiply it by two, so the function would be y=2x, which is linear despite the fact that it lacks a b value.

Hope this helps! :)
8 0
3 years ago
Order these number (smallest to largest)<br><br><br> 35.6 0.356 35.63 3.65 356.06 356.6
Alenkinab [10]

Answer: 0.356, 3.65, 35.6, 35.63, 356.06, 356.6

Step-by-step explanation:

8 0
3 years ago
Which of the following is a solution of x2 + 2x + 4?
RideAnS [48]

Answer:

option-D

Step-by-step explanation:

we are given

x^2+2x+4

Let's assume it is equal to 0

x^2+2x+4=0

We can use quadratic formula

Suppose, we are given quadratic equations as

ax^2+bx+c=0

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

we can compare and find a,b and c

a=1 , b=2 , c=4

now, we can plug values

and we get

x=\frac{-2\pm \sqrt{2^2-4\cdot \:1\cdot \:4}}{2\cdot \:1}

now, we can simplify it

and we get

x=-1+\sqrt{3}i,\:x=-1-\sqrt{3}i


6 0
3 years ago
Read 2 more answers
Other questions:
  • What is the equation of the line perpendicular to 6x-2y=3
    14·1 answer
  • The volume of the sphere is 500 cubic units.
    10·1 answer
  • 4 1/5 liters of water in 1/6 per minute what is the constant
    8·1 answer
  • Choose the correct simplification of the expression (2x − 6)(3x2 − 3x − 6).
    15·2 answers
  • the perimeter of a rectangle is 70 inches. the length of a rectangle is 5 less than 3 times its width. what is the witdth of the
    8·1 answer
  • X<br> 7 cm<br> 14 cm<br> Pls help if u can
    8·1 answer
  • 1. The image below represents the dimensions of
    5·1 answer
  • Giving brainliest and max rating.
    13·1 answer
  • MIDTERMS ARE HARD :((((((( PLZ HELP
    12·2 answers
  • Please help me
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!