Answer:
x = 6 ± 5
Step-by-step explanation:
x² - 12x + 11 =0
x² - 12x = -11 Now add this number to both sides of the equal sign (1/2 of the coefficient of x-term squared)
x² - 12x +36 = -11 + 36 1/2(-12)² = 36
(x - 6)(x - 6) = 25
(x - 6)² = 25
[tex]\sqrt{(x-6)}[/tex]² = [tex]\sqrt{25}[/tex] square root of both side of the equation
x - 6 = ± 5 (5)² = 25 and (-5)² = 25
x = 6 ± 5
Based on your equation, what was the car’s approximate initial velocity (at time=0)?
From the intercept of the line of best-fit, the car’s approximate initial velocity was of 5.7 m/s.
How to find the equation of linear regression?To find the regression equation, also called line of best fit or least squares regression equation, we need to insert the points (x,y) in the calculator. These points are given on a table or in a scatter plot in the problem.
For this problem, the input and the output are defined as follows:
Input: Time in seconds.Output: Velocity in m/s.Hence the points are given by:
(2, 13.1), (4, 19.8), (6, 28.1), (8, 34.6).
Using these points and a calculator, the equation is:
v = 3.64s + 5.7
The intercept of 5.7 represents the initial velocity in m/s.
A similar problem, also involving a line of best-fit, is given at https://brainly.com/question/22992800
#SPJ1
A true/false test has 20 questions on it. What is the probability that you get at least 18 right by purely guessing?
Answer:
I would say if your lucky 6/20 but if not 4/10
Salma made $143 for 11 hours of work. How much for 8 hours of work?
Answer:
140 dollars salma made if she worked for 8 hrs long
Answer:
104
Step-by-step explanation:
143 = 11 hours
143/11 = 1 hour
13= 1 hour
13 × 8 = 104
104please mark me as brainliest.the general solution of the equation cos3x +cos2x =sin3x/2 + Sinx/2 is
Answer:
I am doiiiiiiinnnnggg just wait
help meeeeeeeeeeeee
2/3u. 4/2u².3=
Answer:
4u³
Step-by-step explanation:
2/3u × 4/2u² = 4/3u³
4/3u³ × 3/1 = 4u³
Answer:
4u³Step-by-step explanation:
[tex]2/3u*4/3u^2*3=[/tex][tex]2/3*4/2*3u^{1+2}=[/tex][tex]4u^3[/tex]HELPS! TYS IF U DOESSSSS
I WILL GIVE BRAINILEST!!!!!!!!!
Answer:
C. HI my other account:P
Step-by-step explanation:
Hello, i need some help for questions 2-5 please
Answers:
4. =9.999........
Examplantion :
5×2÷3=9.99999..........
3 ice cream cones cost $ 8.25
At this rate , how much do 2 ice cream cones cost ?
Answer:
The cost of 2 icecream cones is $5.50. Given data: Price of 3 icecream cones is $8.25. 1 icecream come = $(8.25÷3) =$ 2.75.
Step-by-step explanation:
Answer:
5.50
Step-by-step explanation:
8.25 divided by 3 =2.75
Then take 2.75 and multiply it by 2 and you get your answer which is 5.50
When the mortgage is completely paid off your house, it will be 5 times as old as it is now. If you have 28 years left on the mortgage, how old is the house now?
Use rounding to the nearest whole number to estimate the product
4 1/4 • 7 9/17
A) About 32
B) About 35
C) About 40
D) About 25
Answer:
A) About 32Step-by-step explanation:
4 1/4 • 7 9/17The first one is rounded down as 1/4 < 1/2 and the second one rounded up as 9/17 > 1/2.
4 * 8 = 32Correct choice is A
Product
17/4(128/17)128/432Option A
Caleb wants to rent a kayak. Kayak rentals cost $91.61 for a half hour. If Caleb rents a kayak for 2.9 hours, how much will it cost him?
Answer:
$265.669
Step-by-step explanation:
$91.61 times 2.9 equals 265.669, therefore it would cost him $265.669. Round up/down if needed.
The perimeter of a rectangle downtown courtyard is 174 feet. The width of the rectangle is twice the length. Find the length and width of the rectangle?
Answer:
Step-by-step explanation:
L = Length
W = Width
W = 2L
2W + 2L = 174
2(2L) + 2L = 174
6L = 174
L = 29 ft
W = 2(29) = 58 ft
Justine has 4 1/2 pounds of red apples, 3 1/4 pounds of green apples, and 2 1/4 pounds of yellow apples. How many kilograms of apples does she have?
PLZ HELP ME SOMEONE!!!
Answer:
131
Step-by-step explanation:
Hope this helps
Answer:
the answer is 130.9 round it up and you get 131
Step-by-step explanation:
Which function is the inverse of the function f(x) = 4x2 + 10, if the domain of f(x) is x 2 0?
Step-by-step explanation:
inverse = √((x-10)/4)
that is the answer
Answer:
Step-by-step explanation:
Joe's employer will reimburse him $0.17 per miles driven. If Joe drives 104.43 miles on a business trip, what is his mileage reimbursement?
Answer:
17.75
Step-by-step explanation:
You can rewrite the sentence as
$0.17*104.43=
Which is 17.7531
Round it money which is 17.75
Therefore 17.75 is your answer
Hope this helps!
Rory has 5 pounds of ground turkey to make meatballs. He uses 5/8 pound per meatball to make 7 meatballs. How many 1/8 pound meatballs can Rory with the remaining turkey?
Answer:
4/8
Step-by-step explanation:
because
Can someone please show a piece of paper or ex’s plum how you do h point?
Answer:
(-1,-1)
Step-by-step explanation:
well a square has four sides and they are all equal so it would have to be (-1,-1) for the sides to be equal
Help please thank you
Help please i just wanna pass
PLZ ANSWER WILL GIVE BRAINLYEST!!!!
What are the x and y-intercepts of the line described by the equation?
3x−9y=10.8
Question 2 options:
x-intercept = 1.2
y-intercept = -3.6
x-intercept = -1.2
y-intercept = 3.6
x-intercept = -3.6
y-intercept = 1.2
x-intercept = 3.6
y-intercept = -1.2
Answer:
x-intercept = 3.6
y-intercept = -1.2
Step-by-step explanation:
What did James earn this pay period? (use pay stub) *
1 point
$1451.28
$1000.00
$709.74
please ans very easy question
Answer:
what is the question please tell me on comment
Which expression is equal to x + 5 + 5x + 10 + 2y? *
Answer:
x + 5 + 5x + 10 + 2y = 6x + 2y + 15
Step-by-step explanation:
Group like terms
= x + 5x + 2y + 5 + 10
Add the number 5 + 10 = 15
= x + 5x + 2y + 15
Add similar elements x + 5x = 6x
= 6x + 2y + 15
Have a good day :)
como se escribe 654,007,000 en letra
Answer:
seiscientos cincuenta y cuatro millones siete mil
representation of the function f(x)=-2x2+8x-6
Use the results from a survey of a simple random sample of 1176 adults. Among the 1176 respondents, 77% rated themselves as above average drivers. We want to test the
claim that
7/10 of adults rate themselves as above average drivers. Complete parts (a) through (c)
a. Identify the actual number of respondents who rated themselves as above average drivers
(Round to the nearest whole number as needed)
Using the sample data to test the hypothesis, we have that:
The actual number of respondents who rated themselves as above average drivers is 906.The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.77% of the sample of 1176 adults rated themselves as above average drivers, that is:
[tex]0.77(1176) = 906[/tex].
Thus, the actual number of respondents who rated themselves as above average drivers is 906.
At the null hypothesis, we test if the proportion is [tex]\displaystyle \frac{7}{10} = 0.7[/tex], that is:
[tex]H_0: p = 0.7[/tex]
At the alternative hypothesis, we test if the proportion is greater than 70%, that is:
[tex]H_1: p \geq 0.7[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested.n is the size of the sample.In this problem, the parameters are [tex]\overline{p} = 0.77, p = 0.7, n = 1176[/tex].
Thus, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.77 - 0.7}{\sqrt{\frac{0.7(0.3)}{1176}}}[/tex]
[tex]z = 5.24[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.77, which is 1 subtracted by the p-value of z = 5.24.
Looking at the z-table, z = 5.24 has a p-value of 1.
1 - 1 = 0.
The p-value of the test is 0, which is less than the standard significance level of 0.05, thus we can conclude that the proportion respondents who rated themselves as above average drivers is greater than 0.7.
A similar problem is given at https://brainly.com/question/24330815
In a class of 40 students, 14 students wore blue jeans.
-Write the ratio cf students wearing blue jeans to those not wearing blue jeans.
Answer: 14:26
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
Please helppppppppppppp!!!!!!!!!!!!!!!!!!!!
Answer:
558
Step-by-step explanation:
The sum of the first n numbers is ½n(n + 1)
which is the left most number in each row number n
so finding the row containing 526
½n(n + 1) > 526
½n² + ½n > 526
n² + n > 1052
n² + n - 1052 > 0
n > (-1 + √(1² - 4(1)(-1052))) / 2(1)
n > 31.938
so 526 is almost to the end of the 32 row.
The end of that row is ½(32(33)) = 528
so 526 resides two spaces to the right of 528
The end of the row below it, row 33, is ½(33)(34) = 561
As each row is one number longer than the previous row, we count back
2 + 1 = 3 numbers from the end to find what is under 526
561 - 3 = 558
express the f.f as fraction
0.454545
Answer: 5/11
Step-by-step explanation: