Answer:
y = 2/3x + 1/2
Step-by-step explanation:
First, make the equation into a slope-intercept form:
2y + 3x = 1
2y = -3x + 1
y = -1.5x + 0.5
You can make it into a fraction:
y = -3/2x + 1/2
Now here's the equation:
y = 2/3x + 1/2
Hope this helps!
Let me know if I'm wrong :)
What is the slope of the line y-5=3(x-2)?
Molly has 9 cups of flour. If this is 3/4 of the number she needs to make bread, how many cups does she need?
use a tape diagram by reading it backward, draw a tape diagram and label it unknown.
Answer:
She needs 12 cups of flour to make bread
Step-by-step explanation:
9 divided by 3 is 3. So you add 3 to 9 and you get 12. So yeah!
PLEASE ANSWER I HAVE 10 MINUTES!!!
Answer:
1,3,4
Step-by-step explanation: hope this helps you
The changes in housing prices over short time periods are in part determined by supply and demand. A real estate company in Minnesota projected an increase in its average selling prices of homes in the first quarter of 2014 over the mean 2013 selling price of $201,800. The reason for the projection was an increase in demand due to business expansion and the subsequent increase in labor. To investigate the accuracy of the projection, a sample of homes in the first quarter of 2014 was selected and the following selling prices (in $) recorded:
235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500
Required:
a. At 5% level of significance, is there sufficient evidence to support the real estate company's projection?
b. Which statistical distribution should be applied in this situation and why? Explain carefully.
c. Discuss the consequences of Type I and Type II errors in terms of the problem.
d. Does the management at the real estate company want a small or large value of the significance level? Explain carefully.
e. Based on a 95% confidence level, estimate the actual average selling price homes in the first quarter of 2014.
Answer:
The data given is
235,000 271,900 183,300 203,000 182,900 225,500 189,000 214,200 237,900 233,500 217,000 230,400 202,950, 216,500 209,900, 245,500
The sample size is n = 16
The population is [tex]\mu = \$201,800[/tex]
The sample mean is mathematically represented as
[tex]\= x =\frac{\sum x_i}{n}[/tex]
=> [tex]\= x =\frac{235,000 + 271,900 + \cdots + 245,500 }{16}[/tex]
=> [tex]\= x = 218653.125[/tex]
Generally the sample standard deviation is mathematically represented as
[tex]s = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]
=> [tex]s = \sqrt{\frac{ (235,000 - 218653.125)^2+ (271,900 - 218653.125)^2 + \cdots + (245,500 - 218653.125)^2}{16} }[/tex]
=> [tex]s = 23946.896 [/tex]
The null hypothesis is [tex]H_o : \mu = \$201,800[/tex]
The alternatively hypothesis is [tex]H_o : \mu > \$201,800 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{ \frac{s}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{218653.125 - 201800 }{ \frac{23946.896 }{\sqrt{16} } }[/tex]
=> [tex]t = 2.82[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 16 - 1[/tex]
=> [tex]df = 15[/tex]
Generally the probability of [tex]t = 2.82[/tex] at a degree of freedom of [tex]df = 15[/tex] from the t - distribution table is
[tex]p-value = P( t >2.82 ) =0.00646356[/tex]
The
From the values obtained we see that [tex]p-value < \alpha[/tex]
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the real estate company's projection is true
Given that the population variance is unknown then the best statistical distribution to be applied is the t -distribution
Type I Error
The type 1 error occur when the null hypothesis is wrongfully rejected
The consequence in this case is the company will assume that the average selling price has increase and this will lead the company to start expanding the business while in the real sense the average selling price is still $201,800
Type II Error
The type 11 error occur when the null hypothesis is wrongfully accepted(i.e wrongfully failed to reject the null hypothesis)
The consequence in this case is that the company will assume that the average selling price is still $201,800 and will not make plans to increase the business while in the real sense the average selling price has increased
Given that resource is scare the management of the company will want a smaller significance level in order not to commit type I error which will lead to wrongly expanding the business and wastes of resources
generally the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E =Z_{\frac{\alpha }{2} } * \frac{s}{\sqrt{n} }[/tex]
=>[tex]E =1.96* \frac{23946.896}{\sqrt{16} }[/tex]
=>[tex]E = 11733.96[/tex]
Generally the 95% confidence interval is mathematically represented as
[tex]218653.125 - 11733.96 < \mu < 218653.125 + 11733.96[/tex]
=> [tex]206919.165 < \mu < 230387.085[/tex]
Generally there is 95% confidence that the actual average selling price is within this interval
Step-by-step explanation:
Solve for x for the following pls!
1) 7+3x+1=4x+5
2) 8+2x+18=x+19
3) 6+2x+13=x+26
would appreciate it sm
Answer:
1.x=3
2. x= -7
3. x=7
Step-by-step explanation:
Oxygen makes up about 20% of the volume of air. Which of these expresses the amount of air made up of oxygen?
PLZ I GIVE BRAILIEST
Answer:
Step-by-step explanation:
in decimal it is 20.00, in fraction it is 1/5.
Please Help! :(
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.
Write the Equation and the answer please
Answer: there is 90 players in total
Step-by-step explanation:
6x 2= 12
78 + 12 = 90
Answer:
x=15
Step-by-step explanation:
6(x−2)=78 (or 6x−12=78), x=15
AC Sports also manufactures tennis balls. It sells these in sets of three. The tennis
ball container is cylindrical with a radius of 3 inches and a height of 8.5 inches. The
marketing department is planning to create a new label to wrap around the container
and hopefully increase sales. Approximately how much space is there for a label that
wraps around the container?
Answer:
about 216.77 inches of space
Step-by-step explanation:
2πrh+2πr²
2π(3)(8.5)+2π(3)²
2π25.5+2π9
51π+18π
216.769893
about 216.77 inches of space
Please help me answer the question in the photo! Will give brainlist :)
Answer:
the answer is B because it make a 90* angle
Part C
Solve the equation or inequality for the unknown number. Show your work.
Helppp
Answer:
x = 5
Step-by-step explanation:
What is the equation of the line that is parallel to the line 2x − y = 3 and passes through the point (2, −1)?
A. y = −½ x − 5
B. y = −½ x − 1
C. y = 2x − 5
D. y = 2x − 1
Answer:
C. y = 2x − 5
Step-by-step explanation:
Given equation of line
2x − y = 3
rewriting the equation in slope intercept form as answer are given slope intercept form
y = 2x - 3
slope intercept form of equation is
y = mx + c
where m is the slope
c is y intercept
thus
slope for y = 2x - 3 when comparing with y = mx + c is 2
now we know slope of two parallel line is same
thus,
the slope of line that is parallel to the line 2x − y = 3
is 2
Let the equation of required line be y = mx + c
where m = 2
thus
y = 2x + c is the new required equation
it passes through the point (2, −1)
using y = -1 and x = 2 in y = 2x + c
-1 = 2*2 + c
c = -1 - 4
c = -5
thus,
equation of required line is option c
y = 2x - 5 ----answer
Help the pic is right here
Answer:
i think its C
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
its just division tbh
Given f (x) = 3x - 6 and g (x) = 2x²
1. Find: f (g (x))
2. Evaluate: f ( g ( -2))
PLEASE HELP ASAP!
Answer:
1. 6x^2-6
2. 18
Step-by-step explanation:
1. f(g(x))= 3(2x^2)-6= 6x^2-6
2. f(g(-2))= 3 (2(-2)^2)-6= 3(2(4))-6= 3(8)-6=24-6=18
A hotel manager records the number of bookings made at various prices during July.
What type of correlation does the graph show?
A. strong positive correlation
B. weak positive correlation
C. strong negative correlation
D. weak negative correlation
E. no correlation
Answer:
C. strong negative correlation
Step-by-step explanation:
I would say the answer is C. a strong negative correlation.
Firstly, the graph is 'going downwards', meaning that the relationship is negative. This is because one variable decreases when the other is increased. I think it is a strong relationship because the trend is quite clear through the points and the slope is moderately steep.
Hope this helped!
pair of angles is an example of supplementary angles will mark brainest
Answer:
Angle 1 and Angle 7
Step-by-step explanation:
Angle 1 and angle 7 are supplementary angles. Angle 3 and angle 7 are corresponding angles and angle 1 + angle 3 = 180
Answer:
Angle 1 and angle 7Step-by-step explanation:
supplementary angles adds up to 180
angle 1 and angle 7 is an example of supplementary angles.
other options do not apply.
-5 is a rational number and an integer yes or no
Answer:
Yes
Step-by-step explanation:
Integers are whole numbers that are positive and negative. Since -5 is an integer then is also a rational number because all integers are rational numbers
The mean output of a certain type of amplifier is 466 watts with a standard deviation of 10 watts. If 32 amplifiers are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 1.6 watts? Round your answer to four decimal places.
Answer:
0.8186
Step-by-step explanation:
The formula to use to solve this question is given as:
z = (x-μ)/σ/√n, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
n is the random number of samples
P(z < (x-μ)/σ/√n)
(x-μ) = 1.6 watts
σ = 10 watts
n = 32 amplifiers
Hence,
P(z < 1.6/10/√32)
P(z < 1.6/1.767766953)
P(z < 0.9050966799)
Approximately to 2 decimal places)
P(z < 0.91)
= 0.81859
Rounded to four decimal places, the probability that the mean of the sample would differ from the population mean by less than 1.6 watts is 0.8186.
The temperature in Denver is -4 degrees
Celsius and the temperature if Tampa is 38
degrees Celsius. What is the difference
3) between these two temperatures?
Answer:
34 degrees Celsius
Step-by-step explanation:
For this question, you just find the sum of the two temperatures:
-4+38 = 34
Multiply. Write your answer as a fraction in simplest form.
3
6x
22
Please help and by the way the question is 6 x 3 over 22 (fraction)
Answer:
9/11
Step-by-step explanation:
(6 × 3)/22
18/22 = 9/11
two angles of a triangle measure 12° and 40° what id the measure of the third angle of the triangle
Answer:
128
Step-by-step explanation:
The sum of angles in the triangle is 180 degrees
12 + 40 + x = 180
52 + x = 180
x= 180 - 52 = 128 degrees
(x is the third angle of the triangle)
Credit: study1104 for the answer: they originally answered this question, though i copy and pasted to help you with your assignment! Hope this helps, wanted to include credit so your aware where the answer came from!!
Samia buys 15 1/2 yards of fabric to make shirts for his friends he needs 2 5/6 yards of fabric to make each shirt how many shirts can Sammy make
Answer: He can make 5 shirts
Step-by-step explanation:
15 1/2 ÷ 2 5/6 = 5 8/17
A farmer decided to put a fence around his property that measures 170 feet long and 120 feet wide. What is the perimeter of his property?
Answer:
290 ft is the perimeter
Step-by-step explanation:
170+120=290 ft
580 feet.
To find perimeter, you have to add up all the sides, so add length, length, width, and width.
170+ 170+120+120
This gives you 580 ft.
Don't forget the unit!
If this helped, please mark branliest
help im confused..........
Answer:
rvefncoqjefadsNofvewnvfeeljjnfvqe
Step-by-step explanation:
fdcopjsfddcaxjefwpojdsjandipewhhqdaspcixpjewfs;odkcnewoasjjncikkjasn;kcjnnsixjfiasxhcjnsdaxo[okckiefihihehabficphbkjckd khksdk a help me
Answer:
lol im confused aswell
Step-by-step explanation:
it was wrong it is actually 0.29 or .29
Answer:
Form what?
Step-by-step explanation:
Step-by-step explanation:
what are you taking about ?
Please and wet the question. Thanks
Answer:
1.0.00015*0.33333...
2.(3^4*2^6)
HOPE THIS HELPS
Which explains how you round 212.809 to the nearest hundredth?
A.
Since the digit in the hundredths place is less than 5, keep the digit in the hundredths place. Then drop the digit in the thousandths place.
B.
Since the digit in the hundredths place is less than 5, keep the digit in the tenths place. Then drop the digit in the hundredths and thousandths places.
C.
Since the digit in the thousandths place is greater than or equal to 5, increase the digit in the hundredths place by 1. Then drop the digit in the thousandths place.
D.
Since the digit in the thousandths place is greater than or equal to 5, keep th
Answer:
c
Step-by-step explanation:
1. We have 50 pounds of dog food to last for 10 days. Each day we use the same
amount of food. How much dog food is used each day?
Answer:
5 pounds
Step-by-step explanation:
50 pounds of dog food divided by 10 days = 5 pounds per day for 10 days.
Given the equation: 3x − 4y = 8,
a) write an equation of a line parallel that passes through the point (-16, 4).
b) write an equation of a line perpendicular that passes through the point (9, -7).
Answer:
use slope intercept formula
y=Mx +b
Step-by-step explanation:
3X-4Y=8
3X-8 = 4Y
y = 3/4x-2
our new equation just needs to have the same slope M= 3/4
y-y1=M(x-x1)
y-4=3/4(x-(-16))
y=3/4x+12+4
y=3/4x+16 answer a
for a perpendicular line.. just take the inverse of the slope... and change the sign. so now our slope is - 4/3
plug in our new point (9,-7)
y-(-7) = -4/3(x-9)
y+7=-4/3x+12
y= -4/3x +5 answer b
The price of a DVD is $24.00 plus 8% sales tax. What is the sales tax on
this DVD in dollars and cents?
34 points
$3.00
$300
$1.92
$192
Answer:
1.92
Step-by-step explanation:
Answer:
$1.92
Step-by-step explanation:
8% of 24
= 1.92
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons.A data file containing these measurements is HW_PTA 243.csv.Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees. What does your analysis indicate?
A) The cooling system changes the temperature of the water by an amount different than 6 degrees.
B) The cooling system changes the temperature of the water by 6 degrees.
Complete Question
The complete question is shown on the first , second and third uploaded image
Answer:
A
The correct option is A
B
The correct option is H
Step-by-step explanation:
The null hypothesis is [tex]H_o : \mu_1 - \mu_2 = 6[/tex]
The alternative hypothesis is [tex]H_a : \mu_1 - \mu_2 \ne 6[/tex]
The population mean difference is [tex]\mu_d = 6[/tex]
Generally the sample size is n = 15
Generally the sample mean for input temperature is mathematically represented as
[tex]\= x _1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x _1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}[/tex]
=> [tex]\= x _1 = 62.57 [/tex]
Generally the sample mean for output temperature is mathematically represented as
[tex]\= x _2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x _2 = \frac{65.1+ 74.4 + \cdots +67.3 }{15}[/tex]
=> [tex]\= x _2 = 55.97 [/tex]
Generally the sample mean difference is mathematically represented as
[tex]\= d = 62.57 - 55.97[/tex]
=>[tex]d = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]s_d = \sqrt{\frac{ \sum [d_1 - \= d]^2}{n-1} }[/tex]
=> [tex]s_d = \sqrt{\frac{ [ [57.6 -65.1]- 6.6]^2 +[68.9 -74.4]- 6.6]^2+\cdots + [60.4 -67.3]- 6.6]^2}{15-1} }[/tex]
=> [tex]s_d = 1.732 [/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{6.6 - 6 }{\frac{1.732}{\sqrt{15} } }[/tex]
=> [tex]t = 1.342 [/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
So
[tex]df = 15 - 2[/tex]
=> [tex]df = 14[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 1.342 )[/tex]
Generally from the t -distribution table the probability of 1.342 at a degree of freedom of [tex]df = 28[/tex] is
[tex]P(t > 1.342 ) = 0.10047[/tex]
So
[tex]p-value = 2 * 0.10047[/tex]
=> [tex]p-value = 0.201[/tex]
Generally from the value obtained we see that [tex]p-value > \alpha[/tex] Hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees