Answer:
im pretty sure its y=1/3x
Step-by-step explanation:
rearrange for y to be subject
its perpendicular so then the gradient will be the negative reciprocal (-1 / -3= 1/3) so thats your new gradient
then when you substitute the (3,-1) into that equation get -1=1 + c so then c is 0 and your whole equation is y=1/3x
The data in the tables below were collected from first year students at a community college. The variable is "number of credit cards." If the table below is a complete probability distribution, what must be the value of T?
Number of Credit Cards (x) 0 1 2 3 4 5
Number of Students (f) 122 40 28 2 2 6
Probability P(x) 0.61 T 0.14 0.01 0.01 0.03
A. 0.4
B. 0.04
C. 0.2
D. 0.02
Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. [tex]$P(x) \geq 0$[/tex]
2. [tex]$\sum_z P(x) = 1$[/tex]
Now consider,
[tex]$\sum_z P(x) = 1$[/tex]
⇒ [tex]$P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$[/tex]
⇒ [tex]$0.61+T+0.14+0.01+0.01+0.03=1$[/tex]
⇒ [tex]$0.8+T=1$[/tex]
⇒ [tex]$T=1-0.8$[/tex]
= 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.
7xy^ 2 z-2xz^ 2 +3xy^ 2 (9x-1,y=2 , z=3
Answer:
I dont know
Step-by-step explanation:
??
Math question 35 points please answer correctly
Answer:
B. Decreasing; The slope of the line between points D and E is negative
Step-by-step explanation:
The graph clearly shows that the speed is decreasing between these points. This narrows down your options to either Option B or Option D. A completely vertical line has a slope of undefined. The line is not completely vertical and undefined, so Option D is incorrect. This leaves B as correct. A negative slope is a line rising right to left.
Hope it helps!
Jason is a salesmen at the store. He earns 8.50 per hour, plus a 10% commission on his total weekly sales over 1,000. Last week, Jason worked 18 hours and had total sales of 1,492. Which is the best estimate for the total amount of money Jason earned last week
If 13 candy bars cost $19.76, how much do 20 candy bars cost?
Answer:
cost of one candy bar = 19.76/13
= $1.52
cost of 20 candy bars = 1.52x20
= $30.4
pls mark brainliest
3 1/8 - 7/12 estimate the difference by rounding each fraction or mixed number to the nearest half or whole.
Answer:
2
Step-by-step explanation:
3-1=2...since the nearest whole number for the first is 3 and that of the next is 1 since it is more than a half
Answer:
2
Step-by-step explanation:
2 its becuse i muitlplyed to get the anserw and subtraction
Assume that a watermelon dropped from a tall building falls y = 16t ^ 2 ft in t sec. Find the watermelon's average speed during the first 6 sec of fall
A)97 ft/sec
B)48
c)96
D 192
Answer:
A.) 96 ft/sec
Step-by-step explanation:
to find the average speed of the watermelon's fall in 6 seconds, substitute 6 as t in the equation and then divide by 6: [tex]y = \frac{16(6)^{2} }{6} = 96 ft/sec[/tex]
Mr. Cosgrove went out to dinner and the bill came out to $48; he tipped 8%. How
many dollars did Mr. Cosgrove tip?
Answer:
Amount = $3.84
Step-by-step explanation:
Given the following data;
Total bill = $48
Tip = 8%
To find the amount of dollars tipped?
[tex] Amount = \frac {8}{100} * 48[/tex]
[tex] Amount = \frac {384}{100} [/tex]
Amount = $3.84
Therefore, the amount of dollars Mr. Cosgrove tipped is $3.84.
Khan academy Help please
Answer:
B, C and F
Step-by-step explanation:
A constant is where a variable or number is on its own
B - 2x-4 (4 is the constant)
C - 8x+y (y is the constant)
F - 7+4x (7 is the constant)
The diagram shows as scale drawing of a playground
The scale of the drawing is 1:500
Answer:
45
Step-by-step explanation:
3+1.5+3+1.5=9
9*500=4500
4500/100=45
Josh bought a video game that was 20% off. He paid $45 for the video game. How much was the game ORIGINALLY?
Answer:
The original price of the game was $54.
Write an expression showing the sum of 8 and a number f.
Show Your Work
Answer:
8+f
Step-by-step explanation:
The cost of attending your college has once again gone up. Although you have been told that education is investment in human capital, which carries a return of roughly 10% a year, you (and your parents) are not pleased. One of the administrators at your university/college does not make the situation better by telling you that you pay more because the reputation of your institution is better than that of others. To investigate this hypothesis, you collect data randomly for 100 national universities and liberal arts colleges from the 2000-2001 S. News and World Report annual rankings. Next you perform the following regression.
cost 7,311.173,985.20 . Reputation - 0.20 Size +8,406.79. Dpriv
(0.13 2,058.63 (664.58) - 416.38 Dibart - 2,376.51 Dreli ion (2,154.35) (1,121.92) 1,007.56) R' = 0.72 SER 3, 773.35
where Cost is Tuition, Fees, Room and Board in dollars, Reputation is the index used in U.S. News and World Report (based on a survey of university presidents and chief academic officers), which ranges from 1 ("marginal) to 5 ("distinguished"), Size is the number of undergraduate students, and Dpriv, Dlibart, and Dreligion are binary variables indicating whether the institution is private, a liberal arts college, and has a religious affiliation. The numbers in parentheses are heteroskedasticity-robust standard errors
(a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?
Answer:
a) Interpret the results and determine whether or not the coefficients are significantly dif- ferent fromzero. Do the coefficients have the expected sign?
An increase in reputation by one category, increases the cost by
roughly $3,985. The larger the size of the college/university, the
lower the cost. An increase of 10,000 students results in a $2,000
lower cost. Private schools charge roughly $8,406 more than public
schools. A school with a religious affiliation is approximately $2,376
cheaper, presumably due to subsidies, and a liberal arts college also
charges roughly $416 less. There are no observations close to the
origin, so there is no direct interpretation of the intercept. Other than
perhaps the coefficient on liberal arts colleges, all coefficients have
the expected sign.
(b) What is the forecasted cost for a liberal arts college, which has no religious affiliation, a size of 1,500 students and a reputation level of 4.5? (All liberal arts colleges are private.)
7,311.17 + 3,985.20×4.5 – 0.20×1500
+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935
(c) Suppose that you switch from a private university to a public university, which has a ranking tha's 0.5 lower and 10,000 more students. What is the effect on your cost?
Roughly $ 12,400. Since over the four years of education, this
implies approximately $50,000, it is a substantial amount of money
for the average household.
(d) What is the p-value for the null hypothesis that the coefficient on Size is equal to zero? Based on this, should you eliminate the variable from the regression? Why or why not?
Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters
(e) You want to test simultaneously the hypotheses ha and bert - 0. Your regression package returns an F-statistic of 1.23. Can you reject the null hypothesis?
The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case
(f) Eliminating the Size and Dlibartvariables from your regression, the estimated regression becomes 5,450.35+3,538.84 .
Reputation 1,772.35 (590.49) cost 10,935-70.Dpriv-2, 783.31-Dreligion 575.51) (1,150.57) R20.72 SER- 3,792.68 Why do you think that the effect of attending a private institution has increased now?
Step-by-step explanation:
a.An increase in reputation by one category, increases the cost by
roughly $3,985. The larger the size of the college/university, the
lower the cost. An increase of 10,000 students results in a $2,000
lower cost. Private schools charge roughly $8,406 more than public
schools. A school with a religious affiliation is approximately $2,376
cheaper, presumably due to subsidies, and a liberal arts college also
charges roughly $416 less. There are no observations close to the
origin, so there is no direct interpretation of the intercept. Other than
perhaps the coefficient on liberal arts colleges, all coefficients have
the expected sign.
b.7,311.17 + 3,985.20×4.5 – 0.20×1500
+ 8,406.79×1 – 416.38×1 – 2,376.51×0=$ 32,935
c.Roughly $ 12,400. Since over the four years of education, this
implies approximately $50,000, it is a substantial amount of money
for the average household.
d.Using a one-sided alternative hypothesis, the p-value is 6.2 percent. Variables should not be eliminated simply on grounds of a statistical test. The sign of the coefficient is as expected, and its magnitude makes it important. It is best to leave the variable in the regression and let the reader decide whether or not this is convincing evidence that the size of the university matters
e.The critical value for F2,∞ is 3.00 (5% level) and 4.61 (1% level). Hence you cannot reject the null hypothesis in this case
Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the curves y=x2, 0≤x≤3, y=9, and x=0 about the y-axis.
Volume =
Answer:
113.08 cm^3
Volume for sphere = 4/3 Pi 3^3
y = x^2 - (x+0) (x+0)< 3 would equal x = 1.25 and y = 2.5 max
then y = 9 and x = 0 around the y axis
We find (1.25, 2.5) (0,9)
y + 1 = 0 + 1.25 + 9
y+ 1 = 10.25
radius therefore = 3^2 = 3
and surface area = pi x 9 = 28.2743338823
= 28.27cm^2 x 4 = 113.1cm
If it is a sphere you then multiple 4/3 pi r^3 is exactly the same as 4pir^2
Step-by-step explanation:
The volume of the solid is [tex]9\pi[/tex] cubic unit.
Volume of solid :The volume of the solid obtained by rotating the curve [tex]y=f(x)[/tex] is given as,
[tex]V=\int\limits^b_a \pi {y^{2} } \, dx[/tex]
Given that, [tex]y=x^{2} ,a=0,b=3[/tex]
Substitute above values in volume formula.
[tex]V=\int\limits^3_0 \pi{x^{2} } \, dx \\\\V=\pi(\frac{x^{3} }{3} )^{3} _{0}\\\\V=\frac{\pi}{3} (27-0)=9\pi[/tex]
Thus, the volume of the solid is [tex]9\pi[/tex] cubic unit.
Learn more about the volume here:
https://brainly.com/question/1972490
PLS HELP I WILL GIVE BRAINllESTFind the surface area of the rectangular prism.
2 mi
8 mi
1 mi
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
what’s the slope of -2,17 and -1,5
ercises
GUIDED PRACTICE
Solve.
1. What percent of 100 is 25?
Answer:
25%
Step-by-step explanation:
finding for the percentage of 100 is extremely easy since 100 is the same as 100%, that makes 99 as 99%, 57 as 57%. so the answer is 25%
Sooooooooo......... I need help
Johnny and his father go fishing at 5:00 AM. After motoring 6 km upstream, Johnny writes a letter to his friend, puts the letter in a bottle and drops it into the river. the bottle floats in the current and reaches at 7 : 40 AM the point where Johnny and his father began the trip. If the speed of the boat in still water is 9 km/h, what is the speed of the river current?
Answer:
4.5
Step-by-step explanation:
Probably too late for your RSM homework, but here is the solution:
6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]
Simplify to 54/(x(9-x))=8/3
Cross multiply: 162=(8x)(9-x)
Simplify -x^2+9x=20.25
Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0
Solve and get 4.5 :D!
round off 9.999 to the nearest 10
Answer:
the answer is 10 you round up a nine it keeps going to the end
[tex]0.004 \times 0 .81[/tex]
What is the value of this expression?
8-4x3^3+11
Answers:
119
23
-89
-17
[tex]8 - 4( {3}^{3} ) + 11 \\ 8 - 4(27) + 11 \\ 8 - 108 + 11 \\ 8 - 97 \\ - 89[/tex]
What is the square root of 10000000
Answer:
The rounded answer is 3162 and the actual answer is 3162.27766017
Step-by-step explanation:
Please give me brainliest. Have a good day. :)
Answer:
the square root of 10000000=√10000000=10^3√10=1000√10=3162.27766
invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?
please help......,..
Answer:
try 35?
Step-by-step explanation:
parallelograms help!!
Answer:
20 degrees
Step-by-step explanation:
Answer:
z = 36
Step-by-step explanation:
124 + 2z + 16 = 180
-16 -16
108 + 2z = 180
-108 -108
2z = 72
/2 /2
z = 36
HELP HELP HELP
The _____ of a linear equation is ax + by = c where a and b are not both zero
A. Run
B. Y intercept
C. Slope intercept form
D. Standard form
Answer:
it is option D standard form
Chris and his friends are going to the ice cream shop
that having a sale on milkshakes. Each milkshake cost
$2.
Write an equation that represents buying any number
of milkshakes (m).
Help plz I will mark u Brainly
Answer:
2xm
Step-by-step explanation:
Explain how to find 25%of 100 not just the answer explain how
Explanation on how to find:
.25 x 100
Which polynomial represents the sum below (x^8 + 2x^4 + 1) + (2x^4 + x^2 + 1)
To add the polynomials [tex] \tt {x}^{8} + {2x}^{4} + 1 [/tex] and [tex] \tt {2x}^{4} + {x}^{2} + 1 [/tex] let us first combine the like and unlike terms and add them :
[tex] =\tt {x}^{8} + {2x}^{4} + 1 + \tt {2x}^{4} + {x}^{2} + 1[/tex]
[tex] = \tt {x}^{2} + {x}^{2} + {x}^{2} + {x}^{2} + {2x}^{2} + {2x}^{2} + {2x}^{2} + {2x}^{2} + {x}^{2} + 1 + 1 [/tex]
[tex] =\tt {13x}^{2} + 2[/tex]
○=> Therefore :[tex]\color{hotpink} = \tt {x}^{8} + {2x}^{4} + 1 + \tt {2x}^{4} + {x}^{2} + 1 \color{plum}= {13x}^{2} + 2[/tex]
