Pls answer fast Y=Mx+b for x
Answer:
y=mx+b
y=mx+b-b
y-b=mx
y-b/m = mx/m
y-b/m = x
Answer:
x = (y - b)/M.
Step-by-step explanation:
y = Mx + b
Mx = y - b
x = (y - b)/M.
3. How many solutions are there to the
equation 2x^2 - 3x +12=0? Tell how
you know.
Answer:
If you're talking about solutions in general (real and imaginary solutions), there is 2, because the fundamental theorem of algebra says that the number of roots of any polynomial is the degree if it's highest power, which is 2.
If you're talking about only real solutions, there is 0. To show that, we can take the discriminant (b^2-4ac) part of the quadratic equation, and plug in the know values. We then get:
(-3)^2-4*2*12
=9-96
=-87
Remember, the discriminant will be taken the square root. Since this is negative, the answer will be imaginary. Therefore, there is no real solution.
. Lightning Strikes It has been said that the probability of being struck by lightning is about 1 in 750,000, but under what circumstances? Below are listed the numbers of deaths from lightning since 1996. Golf/ball field Boating/ in water Outside/camping Construction Under a tree Phone Other 1996–2000 16 23 117 9 40 0 30 2001–2005 17 16 112 3 35 0 23 2006–2010 15 17 91 0 42 1 16 Choose one fatality at random and find each probability. a. Given that the death was after 2000, what is the probability that it occurred under a tree? b. Find the probability that the death was from camping or being outside and was before 2001. c. Find the probability that the death was from camping or being outside given that it was before 2001
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
[tex]P(U |D ) = 0.198 [/tex]
b
[tex]P(O\ n \ B) = 0.188[/tex]
c
[tex]P(O | B) = 0.498 [/tex]
Step-by-step explanation:
The total number of deaths is mathematically represented as
[tex]T = 16 + 23 + \cdots + 16[/tex]
[tex]T =623 [/tex]
The total number of deaths in 1996 - 2000 is mathematically represented as
[tex]T_a = 16 + 23+ \cdots + 30[/tex]
[tex]T_a = 235 [/tex]
The total number of deaths in 2001 - 2005 is mathematically represented as
[tex]T_b = 17 + 16 + \cdots + 23[/tex]
[tex]T_b = 206 [/tex]
The total number of deaths in 2006 - 2010 is mathematically represented as
[tex]T_c = 15 + 17 + \cdots + 16[/tex]
[tex]T_d = 182 [/tex]
Generally the the probability that it would occur under the tree given that the death was after 2000 is mathematically represented as
[tex]P(U |D ) = \frac{P(A \ n\ U )}{P(A)}[/tex]
Here [tex]P(A \ n\ U )[/tex] represents the probability that it was after 2000 and it was under the tree and this is mathematically represented as
[tex]P(A \ n\ U ) = \frac{Z}{ T} [/tex]
Here Z is the total number of death under the tree after 2000 and it is mathematically represented as
[tex]Z = 35 + 42[/tex]
=> [tex]Z = 77 [/tex]
=> [tex]P(A \ n\ U ) = \frac{77}{ 623} [/tex]
=>
Also
[tex]P(A)[/tex] is the probability of the death occurring after 2000 and this is mathematically represented as
[tex]P(A) = \frac{T_b + T_c}{ T}[/tex]
=> [tex]P(A) = \frac{ 206+ 182}{623}[/tex]
=>
So
[tex]P(U |D ) = \frac{\frac{77}{ 623} }{ \frac{ 206+ 182}{623}}[/tex]
=> [tex]P(U |D ) = 0.198 [/tex]
Generally the probability that the death was from camping or being outside and was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{T_z}{ T}[/tex]
Here [tex]T_z[/tex] is the total number of death outside / camping before 2001 and the value is 117
So
[tex]P(O \ n \ B) = \frac{117}{623}[/tex]
=> [tex]P(O\ n \ B) = 0.188[/tex]
Generally the probability that the death was from camping or being outside given that it was before 2001 is mathematically represented as
[tex]P(O | B) = \frac{ P( O \ n \ B)}{ P(B)}[/tex]
Here [tex]P(B)[/tex] is the probability that it was before 2001 , this is mathematically represented as
[tex]P(B ) = \frac{T_a}{T}[/tex]
=> [tex]P(B ) = \frac{235}{623}[/tex]
So
[tex]P(O | B) = \frac{ \frac{117}{623}}{ \frac{235}{623}}[/tex]
=> [tex]P(O | B) = 0.498 [/tex]
f(x)=3x+1 what is the value of f(-2/3)
Answer:
f = -1
Step-by-step explanation:
f(x) = 3x + 1
f(-2/3) = 3(-2/3) + 1
f = -2 + 1
f = -1
Answer:
= -2f/3
Step-by-step explanation:
Write the equation of the line:
(0,3); slope -2
Answer:
y=-2x+3
Step-by-step explanation:
the y-intercept is (0,3) and the slope is -2, just plug that in to the slope intercept form, y=mx+b
Pls mark as brainliest thank u.
The sum of two consecutive even numbers is 38. Find the bigger number.
Answer:
20
Step-by-step explanation:
18 plus 20 equals 38
20 is bigger than 18
Question 1 (2 points)
Bentley is trying to get better at skateboarding. He has a goal of skateboarding 5 miles total this week with two short runs and one longer run. His two short runs total 2.25 miles. How long will his long skateboard run need to be in order to hit his goal?
To find the length of Bentley’s long run, you would use:
5 – 2.25
Question 1 options:
True
False
Answer:
True
Step-by-step explanation:
If he is doing 2 short runs and one long run, and his 2 short runs equal 2.25 miles, you'd need to subtract them from the total to find out the long run.
The table below shows the weekly change in the price of one gram of gold for four weeks.
ONE GRAM OF GOLD
Week
Weekly Change in the Price (dollars)
1
+ 1.
2
-3.
3
+ 2.
4
+3.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4? Did the price increase or decrease? explain
At the end of week 4, the price per gram of gold was $39. What was the price per gram of gold at the beginning of week 1?
Show your work in the box below.
Answer _____________ price per gram of gold
Answer:
THEY DIDN'T IT WAS BECAUSE THEY MADE UP A FAKE RUMER AND HAD TO MAKE IT LOOK REAL
Step-by-step explanation:
Given the linear function f (x) = 4x - 2 identify the following;
Slope
Y intercept (let x = 0)
X intercept (let y = 0)
Is the function increasing or decreasing?
Answer:
slope: m = 4
y intercept: (0, -2)
x intercept: (1/2,0) the 1/2 is one half
the function is increasing
Find the value of a in the relation Cov(2X,−3Y+2)=a⋅Cov(X,Y) .
a=
c) Suppose that X , Y , and Z are independent, with a common variance of 5 . Then,
Cov(2X+Y,3X−4Z)=
Answer:
a = -6
Cov (2X+Y, 3X-4Z) = 30
Step-by-step explanation:
Key points:
Cov (aX, bY) = a·b·Cov (X, Y)Cov (X, X) = V (X) Cov (X, a) = 0If X and Y are independent then Cov (X, Y) = 0.Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
⇒ a = -6.
(c)
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e. V (X) = V (Y) = V (Z) = 5
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
The value of a = -6. And, Cov (2X+Y, 3X-4Z) = 30.
Calculation of the value of a and cov:Since
Cov (aX, bY) = a·b·Cov (X, Y)
Cov (X, X) = V (X)
Cov (X, a) = 0
In the case when X and Y are independent so Cov (X, Y) = 0.
Now
Cov(2X, -3Y+2) = a⋅Cov (X,Y)
Cov (2X, -3Y) + Cov (2X, 2) = a⋅Cov (X,Y)
(2)⋅(-3)⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
-6⋅Cov (X, Y) + 0 = a⋅Cov (X,Y)
a = -6.
(c)
here
Suppose that X, Y, and Z are independent, with a common variance of 5, i.e.
V (X) = V (Y) = V (Z) = 5
So,
Cov (2X+Y, 3X-4Z) = Cov (2X, 3X) + Cov (2X, -4Z) + Cov (Y, 3X) + Cov (Y, -4Z)
= 6⋅Cov (X, X) - 8⋅Cov (X, Z) + 3⋅Cov (Y, X) - 4⋅Cov (Y, Z)
= (6 × 5) - 0 + 0 - 0
= 30
Thus, the value of Cov (2X+Y, 3X-4Z) is 30.
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he cost of manufacturing a particular videotape is C(x)90009x, where x is the number of tapes produced. The average cost per tape, denoted by , is found by dividing by x. Find .
Answer:
The average cost per tape is 10.
Step-by-step explanation:
The cost of manufacturing a particular videotape is :
C(x) = 9000+9x
Where
x is the number of tapes produced.
We need to find the value of average per tape i.e. [tex]\lim_{x \to 9000} \bar C(x)[/tex]
[tex]\bar C(x)=\dfrac{9000+9x}{x}\\\\=\dfrac{9000}{x}+9\\\\ \lim_{n \to 9000} \bar C(x)=\dfrac{9000}{9000}+9\\\\=1+9\\\\=10[/tex]
So, the average cost per tape is 10.
The cost of a ticket t will be no more than 26$
Answer: What's the question?
Step-by-step explanation:
Please help. I will mark brainliest.
Answer:
andrew gets 15 dollars a hour
and andr
Please help me find the missing measurements of this :)
Answer:
4mm
Step-by-step explanation:
The ratio of the two congruent shapes are 2.5:1
15 : 6 = 2.5 : 1
15/6 = 2.5
5 : 2 = 2.5 : 1
5/2 = 2.5
Therefore, 10 : x = 2.5 : 1
10/x = 2.5
x = 4
Answer: 15, 2, 6, and 5
Step-by-step explanation: they are equal to the measurements listed
PLEASE HELP
ILL GIVE BRAINLIEST
Answer:
f(7x−1)=63x−16
Step-by-step explanation:
Answer:
x=3
Step-by-step explanation:
since f(x) and g(x) are equal, we can make the equation, 9x-7 = 7x - 1
9x = 7x + 6, 2x = 6, x = 3
A large bag of cashews weighs 9 1/4 pounds. One serving is 1/5 pound. How many servings are in the bag.
Answer as a mixed number = 46 & 1/4
Answer as a decimal = 46.25
===============================================
Work Shown:
9 & 1/4 = 9 + 1/4 = 9 + 0.25 = 9.25
1/5 = 0.2
A bag of cashews weighs 9.25 pounds and one serving is 0.2 pounds.
Let x be the number of servings
1 serving = 0.2 pounds
x servings = 0.2x pounds after multiplying both sides by x
0.2x pounds represents the total bag's weight so,
0.2x = 9.25
x = 9.25/0.2
x = 46.25 answer in decimal form
x = 46 + 0.25
x = 46 + 1/4
x = 46 & 1/4 answer in mixed number form
This means we have 46 full servings plus an additional 1/4 of a serving.
g Problem 7. (10 points) A random sample of 100 Cooper County residents showed that 18 are college graduates and a second random sample of 50 Boone County residents showed that 28 are college graduates. Round your final answer to each part to three decimal places, but do not round during intermediate steps. The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is
Answer:
The relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.
Step-by-step explanation:
Denote the events as follows:
C = Cooper County resident
B = Boone County resident
G = graduate
NG = non-graduate
The information provided is summarized as follows:
G NG Total
C 18 82 100
B 28 22 50
Total 46 104 150
Compute the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents as follows:
[tex]\text{Relative Risk}=\frac{\text{Graduates in Boone County}}{\text{Graduates in Cooper County}}[/tex]
[tex]=\frac{28/50}{18/100}\\\\=\frac{28}{50}\times \frac{100}{18}\\\\=3.11111\\\\\approx 3.11[/tex]
Thus, the relative risk of being a college graduate for Boone County residents as compared to Cooper County residents is 3.11.
The relative risk of remaining a college graduate for Boon County residents in comparison to Cooper County residents would be 0.500
Relative risk:Relative risk is used in the statistical analysis of the data of ecological, cohort, medical, and intervention studies, to estimate the strength of the association between exposures (treatments or risk factors) and outcomes. Mathematically, it is the incidence rate of the outcome in the exposed group.
The relative risk is calculated by dividing the probability of an event for group 1 divided by the probability of an event occurring for group 2.
The probability of the Boone country resided is a college graduate,
By the formula of classical probability [tex]P(A)=\frac{m}{n}[/tex] then,
[tex]\frac{18}{100}=0.18[/tex]
The probability of cooper country resided is a college graduate is,[tex]\frac{18}{50}=0.36[/tex]
The relative risk is being a college graduate Boone country resided as compared to cooper country resident is,
[tex]\frac{0.18}{0.36} =0.500[/tex]
Learn more about the topic of Relative risk:
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An iPhone X costs $1,000. One website is selling it for 20% off. What would the sale price be?
What is the coefficient in the expression 10x+8
Answer:
In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.
Answer: 10 + 8
Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!
Need help got until 12:10
HELP ASAP IT'S AN EMERGENCY
How many years will it take for Steven to make a total of $21,200?
(7 points)
12
8
6
10
1. In 1995, the average level of mercury uptake in wading birds in the Everglades was 15 parts per million. If we assume that the distribution of mercury uptake has a standard deviation of 1 part per million, and a current sample of 25 wading birds has an average of 14.6 parts per million. Which null and alternative hypotheses would be used to test that the level of mercury uptake in the Everglades has decreased since 1995?
Answer:
We reject H₀, we find that the current level of mercury uptake in the Everglades has decrease
Step-by-step explanation:
We need to test the current wading bird average 14,6 vs the 1995 average. As sample mean is 14,6 and population mean is 15 we are going to check test is of one tail (left tail test)
Test Hypothesis:
Null hypothesis H₀ μ = μ₀
Alternative hypothesis Hₐ μ < μ₀
Sample size 25 then n < 30 we will use t-student table
Population mean : μ₀ = 15 ppm
sample mean : μ = 14,6 ppm
sample standard deviation: s = 1 ppm
Sample size n : 25
degrees of freedom df = n - 1 df = 24
We will develop the test for CI 90% then α = 10% α = 0,1 α/2 = 0,05
For that values in t student table we find:
t(c) = 1,711 by symmetry t(c) = - 1,711
To compute ts
t(s) = ( μ - μ₀ ) / s/√n
t(s) = 14,6 - 15 / 1 /√25
t(s) = - 0,4*5 / 1
t(s) = - 2
Comparing t(c)and t(s)
|t(s)| > |t(c) | and t(s) < t(c) -2 < -1,711
Therefore t(s) in in the rejection region, we reject H₀
if you subtract 19 from my number and multiply the difference by -2, the result is -8
Answer:cool
Step-by-step explanation:
Answer:
23
Step-by-step explanation:
let the number be 'a'
-2(a - 19)= -8
open the brackets
-2a + 38 = -8
collect like terms
38 + 8 = 2a
46 = 2a
a = 23
cual es el valor de 7 3/4 + 1 7/8 fraccionado
Researchers Wilt et al. (New England Journal of Medicine, 2012) investigated whether surgery, compared to just observation, was (more) effective in improving men’s survival chances after being diagnosed with prostate cancer. The researchers identified 731 men with localized prostate cancer who volunteered to participate. They randomly assigned 364 men to surgery and the remaining 367 to observation. All participants were followed for about 10 years. In those 10 years, 21 surgery recipients died of prostate cancer related reasons compared to 31 observation recipients.
1. Identify the observational units.
A. Men.
B. Men with prostate cancer.
C. Men with prostate cance.
D. Men with prostate cancer who received observation r who underwent surgery.
2. What type of study is this?
A. Experiment.
B. Observational study.
3. What is the primary purpose of random assignment in this type of study?
A. To ensure that subjects are representative of the popu lation of interest.
B. To ensure that the groups are of equal sizes.
C. To create treatment groups that are alike in all aspects zes except for the treatment administered.
D. To improve accuracy of results.
4. Identify the explanatory variable.
A. Whether or not man dies of prostate cancer related reasons.
B. Whether or not man undergoes surgery.
C. Percentage of men who die of prostate cancer related reasons.
D. The number o f men who undergo surgery and the number of men who are just observed.
5. Identify the response variable.
Answer:
(1) B
(2) A
(3) C
(4) B
Step-by-step explanation:
(1)
The observational units in this study are the men with prostate cancer.
(2)
As the study involves a treatment and a control group, it is an experimental study.
(3)
The primary purpose of random assignment in this type of study is to create treatment groups that are alike in all aspects except for the treatment administered.
(4)
The explanatory variable or the independent variable, is the variable that is altered to observe the changes in the dependent variable.
The explanatory variable in this case is whether or not man undergoes surgery.
(5)
The response variable or the dependent variable is the variable that is being observed for any changes for the given treatments.
The response variable in this case is whether or not man dies of prostate cancer related reasons.
Explain what the quote means please.
"In today's competitive job market, it's important to realize that finding a job is in itself a full-time job."
This quote means that finding a job is a tough task and it takes much time, due to competition.
What is a job market?The job market refers to the state of employment opportunities. It is conditions for job seekers in a particular industry, geographic region, or overall economy.
It includes factors such as the demand for labor, the number of available job openings, the qualifications required for those jobs, and the compensation and benefits offered to employees.
The job market can vary depending on economic conditions, industry trends, and government policies, among other factors. Job seekers and employers both use the job market to evaluate the availability and competitiveness of employment opportunities. Finding a job is a tough task.
Learn more about job markets, here:
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What is 837 divided by 27
Answer: 31
Step-by-step explanation: long division
HURRYYYY PLSSSSS IM TIMED
Which equation represents the number of books (b) a student reads each week (w) if the student reads 3 books each week? How many books will the student read in 18 weeks?
Question 3 options:
A)
w = 3b; 18
B)
b = 3w; 18
C)
w = 3b; 54
D)
b = 3w; 54
A dog-washing salon is filling up the tub to was a dog. When the employee got to the tub,
there were already 2 gallons of water in the tub. She will fill the tub at a rate of 3 gallons a
minute.
Answer:
If there was 2 gallons in the tub at the moment, it must mean that it has been 2/3 of a minute or 40 seconds.
The two rates would be 3:60 and 2:40 and so on 1:20
Step-by-step explanation:
Good luck! Hope this helps! <3