Solution of the equation
Answer:
B
Step-by-step explanation:
The sides are not equal. You substitute the coordinates into the equation which gives you -11=-4 x 3
which solves to -11 = -12
therefore the sides are not equal
Use Symbolab for math problems, it helps alot especially on tests.
You measure the period of a mass oscillating on a vertical spring ten times as follows:
Period (s): 1.06, 1.31, 1.28, 0.99, 1.48, 1.37, 0.98, 1.31, 1.59, 1.55
Required:
What are the mean and (sample) standard deviation?
a. Mean: 1.228, Standard Deviation: 0.2135
b. Mean: 1.325, Standard Deviation: 0.1674
c. Mean: 1.292. Standard Deviation: 0.2211
d. Mean: 1.228, Standard Deviation: 0.2098
e. Mean: 1.292, Standard Deviation: 0.2135
Answer:
Step-by-step explanation:
Mean is the ratio of sum of the dataset to the sample size. Mathematically:
[tex]\overline x = \frac{\sum Xi}{N}[/tex]
Xi are the individual periods
N is the sample size
[tex]\sum Xi = 1.06+1.31+1.28+0.99+1.48+1.37+0.98+1.31+1.59+1.55\\\sum Xi = 12.92[/tex]
N = 10
Substitute
[tex]\overline x = \frac{12.92}{10}\\\overline x = 1.292[/tex]
hence the mean of the samples is 1.292
For the standard deviation:
[tex]\sigma = \sqrt{\frac{\sum (x-\overline x)^2}{N} } \\[/tex]
[tex]\sum (x-\overline x)^2 = (1.06-1.292)^2+ (1.31-1.292)^2+ (1.28-1.292)^2+ (10.99-1.292)^2+ (1.48-1.292)^2+ (1.37-1.292)^2+ (0.98-1.292)^2+ (1.31-1.292)^2+ (1.59-1.292)^2+ (1.55-1.292)^2\\\sum (x-\overline x)^2 = 0.43996[/tex]
Substitute into the formula:
[tex]\sigma = \sqrt{\frac{0.43996}{10} }} \\\sigma = \sqrt{{0.043996}}} \\\sigma = 0.2098[/tex]
Hence the standard deviation is 0.2098
A number is divided by 4, and the quotient is added to 3. The result is 24. What is the number? (Please show how you got it)
(n/4) + 3 = 24
Answer:
84
Step-by-step explanation:
(x/4) + 3 = 24
so in this case try and make x the subject or in other words try to leave x on one side of the equation.
(x/4) = 24 - 3
(x/4) = 21
now multiply 21 by 4 using cross multiplication
so x= 84
your job requires that you work at least 40 hours a week you have already worked 15 and there are 4 more days left in the week how many hours do you have to work each day to get at least 40 hours: inequality and solution
Answer:
6.25 hours
Step-by-step explanation:
this is rather simple really,
first, you have to work 40 hours a week
you have already worked 15 so now you can subtract that
40-15= 25hrs
if you have 4 more days of the week you divide the remaining hours by the days left
25/4= 6.25hrs
that would be the bare minimum of hours for you to work a 40 hour week.
Xis normally distributed with mean 1,000 and standard deviation 250. What is the probability that X lies between 800 and 1, 100?
Answer:
0.4435
Step-by-step explanation:
Given that :
X is normally distributed:
mean(m) = 1,000
standard deviation (s) = 250
probability that X lies between 800 and 1,100?
Using the relation :
X = 800
Zscore = (x - m) / s
Zscore = (800 - 1000) / 250
Zscore = - 200 / 250
Zscore = - 0.8
P(Z ≤ - 0.8) = 0.2119
X = 1100
Zscore = (x - m) / s
Zscore = (1100 - 1000) / 250
Zscore = 100 / 250
Zscore = 0.4
P(Z ≤ 0.4) = 0.6554
P(Z ≤ 0.4) - P(Z ≤ - 0.8)
0.6554 - 0.2119
= 0.4435
PLEASE HELP I AM STUCK
12,049=-58,642+y
Answer:
70,691
Step-by-step explanation:
You have 8 donuts and you want to give 1/4 of them to a friend. How many donuts would your friend get?
Answer: pretty sure the friend would get 2 donuts
Step-by-step explanation:
janesa has 24 coins in her pocket worth exactly $1.00. she tells her younger brother jackson that he can have the coins if he correctly guesses how many of each coin she has. she gives him the hint that there are only nickels and pennies. complete the equation that represents the total value of the nickels and p pennies 5( blank ) + p = 100
Answer:
Number of Nickels = 19
Number of pennies = 5
Step-by-step explanation:
The type of coins that Janessa has = nickels and pennies.
Janessa has a total number of 24 coins
The sum of the nickels and pennies = $1.00
Let us represent the number of nickels as x
The number of pennies as y
Hence, our system of equations is :
x + y = 24..... Equation 1
x = 24 - y
A nickel is worth 5 cents.
1 nickel = $0.05
A penny is worth 1 cent.
1 penny = $0.01
Therefore,
$0.05× x + $0.01 × y= $1.00
0.05x + 0.01y = 1.00........Equation 2
Substitute 24 - y for x in Equation 1
0.05(24 - y) + 0.01y = 1
1.2 - 0.05y + 0.01y = 1
1.2 - 1 = 0.05y - 0.01y
0.2 = 0.04y
y = 0.2/0.04
y = 5
We have 5 pennies
x = 24 - y
x = 24 - 5
x = 19
We have 19 nickels
A gallon of gas costs an average of two dollars is Betty spends $144 a month on gas determine how many gallons of gas she uses a month
Answer:
she uses 72 gallons
Step-by-step explanation:
just do 144/2 and the answer is 72
if you wanna check your answer just do 72x2 and it equals 144
8 tomatoes for $2 unit rate
I don't have much so please 17
Michael exercises more than 35 minutes per day.
Use t to represent Michael's amount of exercise (in minutes per day).
Answer:
t>35
Step-by-step explanation:
Since Michael exercises more than 35 days, t is greater than 35. To express that in an inequality, the answer is t>35. Hope this helped!
Which equation shows y=3x−15 in standard form?
A. 15x−5y=1
B. 15x+5y=−1
C. 5x−15y=1
D. 5x−15y=−1
Answer:
c 5x -15y =1
Step-by-step explanation:
5x-15y=1
-5x -15y= 1 -5x change the signs on both sides of the equation
15y = -1 +5x divide both sides by 15
y = -1/15 + 1/3 x Reorder the terms
y = 3x-15
:)
All options are wrong here.
Given equation is [tex]y=3x-15[/tex].
the equation given here is in form of [tex]y=mx+c[/tex] . The general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis) .
We have to write [tex]y=3x-15 \\[/tex] in standard form.
The standard form for linear equations in two variables is Ax+By=C.
Now we convert [tex]y=3x-15[/tex] in standard form.
Here [tex]y=3x-15\\[/tex]
[tex]y-3x=-15\\\\-y+3x=15[/tex]
[tex]3x-y=15[/tex]
But no options match with the above standard form of equation.
Hence all options are wrong here.
For more details on standard form for linear equations follow the link:
https://brainly.com/question/7380540
Your new car drives 220 miles on 8 gallons of gas,
The car's MPG is
Will mark brainliest Simone please help
Answer:27.5
hope it helped can I have brainliest?
Step-by-step explanation:
What is the slope of the line perpendicular to y = 4x + 2
Answer:
slope is -1/4
Step-by-step explanation:
y = 4 x + 2
Use the equation y = m x + b
So m=4
And MPerpendicular=-1/4
Hope this helps!!
find the sum of 2x ÷ x-1 and x÷x-1
Answer with step-by-step explanation:
First of all, ORDER OF OPERATIONS!! 2x/x is 2/1, which is 2. Then, subtract 1, which is 1.
2x ÷ x - 1 = 1
Same thing: x/x = 1. Subtract 1 from 1, which is 0.
x ÷ x - 1 = 0
1 + 0 = 1
Hope this helped!
What is the first step when solving the equation 3(3x-5x)+2=-8
Answer:
Collect the like terms
Step-by-step explanation:
(3x-5x)
3x (-2x) + 2 = -8
y< 4x – 1
y>-8x + 5
Answer:
m=4
m: 8
Step-by-step explanation:
Given a normal distribution with a mean of 125 and a standard deviation of 14, what percentage of values is within the interval 111 to 139?
A. 32%
B. 50%
C. 68%
D. 95%
E. 99.7%
Answer:68%
Step-by-step explanation:
just took this test
The percentage of values is within the interval 111 to 139 will be "68%".
ProbabilityAccording to the question,
Mean = 125
Standard deviation = 14
Let,
The random variable be "X".
Now, the probability:
→ P(111 < X < 139) = P (111 - 125 < X - 125 < 139 - 125)
= P(-14 < X - 125 < 14)
= P(-[tex]\frac{14}{14}[/tex] < [tex]\frac{(X-125)}{14}[/tex] < [tex]\frac{14}{14}[/tex])
= P(-1 < Z < 1)
When, Distribution function "[tex]\phi[/tex]" now,
= [tex]\phi[/tex](1) - [tex]\phi[/tex](-1)
= [tex]\phi[/tex](1) - 1 + [tex]\phi[/tex](1)
= 2 × [tex]\phi[/tex](1) - 1
= 2 × 0.8413 -1
= 1.6826 - 1
= 0.6826 or,
= 68%
Thus the above answer i.e., "option C" is correct.
Find out more information about probability here:
https://brainly.com/question/24756209
If a roof has a pitch of 5 to 11, how high will the roof rise over a 33-foot run?
a.
3
C.
2
72 feet
1 feet
b. 15 feet
d.
20 feet
The answer is b. 15ft
30 point question! WILL AWARD BRAINLIEST!
A ball is thrown across a playing field from a height of h = 5 ft above the ground at an angle of 45° to the horizontal at the speed of 20 ft/s. It can be deduced from physical principles that the path of the ball is modeled by the function
y = − (32/(20^2))x2 + x + 5
Find the horizontal distance the ball has traveled when it hits the ground. (Round your answer to one decimal place.)
Answer:
Answers are down below ;)
Step-by-step explanation:
y = − (32/(20^2))x2 + x + 5
Plug into the calculator: -32/20^2 = -.08x^2
Find the maximum height attained by the ball:
Rewrite the equation:
y= -.08x^2 + x +5
This parabola is a negative meaning that it will be maximum
to find the maximum we use the formula -b/2a
-(1)/ 2 (-.08) = -1/ -.16= 6.25
we plug 6.25 back into the equation y= -.08(6.25)^2+ (6.25) +5 = 8.125
The maximum height attained by the ball: 8.125 feet
Find the horizontal distance the ball has traveled when it hits the ground.
This can be found with the quadratic equation, x = [-b ± √(b2-4ac)]/2a
a= -.08 , -b= -1, c= 5 (When you are plugging in the numbers, make sure to break them down).
-(-1)± √(-1)^2-4(-.08)(5)] 2(-.08) -->
[-1 ± √(1 + 1.28)]/-.16 = [-1 ± √(2.6)]/-.16 = [-1 ± 1.61]/-.16 =
The horizontal distance of the ball is x = 16.31 feet
Say thank you by commenting down below :)
If it takes 930 kg of food to feed a pair
of elephants for 3 days, how much food
would you need to feed them for a week?
Answer:
2170
Step-by-step explanation:
930 divided be 3= 310
310 multiplied by 7=2170
andre has x dollars. He buys lunch using 1/6 of his money and earns 8$ by doing chores after school
The distance between Point P and Point Q was 3600 m. Beng Leong started jogging
at 08 35 from Point P and reached Point Q at 08 50. At the same time, Sam started
jogging from Point P at a speed of 200 m/min. Who jogged at a faster speed?
How much faster was his speed?
Answer:
Ben ran at a speed of 240m/min and Sam ran at a speed of 200m/min So Ben is faster by a rate of 40/min
Step-by-step explanation:
Ben's miles per minutes
[tex] \frac{3600}{15} = 240[/tex]
Sam's miles per minute
Given
what are factors of 7
Answer:
1 and 7
Step-by-step explanation:
estimate the answer for 1 2/3 x 5 1/10 (type a whole number
Answer:
Exact Form:
17/2
Decimal Form:
8.5
Mixed Number Form:
8 1/2
Translate the sentence into an equation.
Seven times the sum of a number and 2 is 6.
Use the variable y for the unknown number.
Answer:
7(y+2)=6
Step-by-step explanation:
its right
5 divided 5/6 helpabacon hair please
Answer:
what? expalint the question
Step-by-step explanation:
Can someone please help?
Answer:
<IJL and <IJG
Step-by-step explanation:
<IJL and <IJG
I need help please thanks
find x when y = 18, if y = 9 when x = 8
ASAP PLEASE
so
y=9 -> y=18
*2
x=8 -> x=16
*2
so x = 16
Answer:
the only logical way solving this question is:
if y=9 then x=8
if y=18 then x should be 16
Step-by-step explanation:
I cant find any other way to solve
A newspaper is launching a new advertising campaign in order to increase the number of daily subscribers. The newspaper currently (t0) has 26,000 daily subscribers and management expects that number, S(t), to grow at the rate of subscribers per day, where t is the number of days since the campaign began. How long (to the nearest day) should the campaign last if the newspaper wants the number of daily subscribers to grow to 49,000?
Answer:
57 days
Step-by-step explanation:
Given that:
t(0) = 26000
Growth rate (S'(t)) = 80t^1/2
Targeted number of subscribers = 49000
Take the integral of the growth rate :
∫80t^1/2dt = [(80t^(1/2 + 1)) / 1/2 + 1] + C
[(80t^(1/2 + 1)) / 1/2 + 1] + C = (80t^3/2) / 3/2 + C
(80t^3/2) * 3/2 + C = (160/3)t^3/2 + C
(160/3)t^3/2 + C
Let C = t(0)
(160/3)t^3/2 + 26000 = 49000
(160/3)t^3/2 = 49000 - 26000
(160/3)t^3/2 = 23000
Multiply both sides by 3/160
t^3/2 = 23000* 3/160
t^3/2 = 69000/160
t^3/2 = 431.25
t^(3/2 * 2/3) = 431.25^2/3
t = 57.080277
t = 57 days (approx.)