Answer:
6 ; 9 ; 11 ; 12.5; 14
B.) 3.5
Step-by-step explanation:
Given the data:
6 9 9 10 11 11 12 13 14
a.) The low = 6 (lowest value in the dataset)
b.) Q1 = Lower quartile
Q1 = 1/4(n + 1)th term
n = sample size = 9
Q1 = 1/4(9 + 1) ; 1/4(10) = 2.5th term
Q1 = (2nd + 3rd term) / 2 = (9 + 9) / 2 = 9
Median Q2:
Q2 = 1/2(9 + 1) ; 1/2(10) = 5th term = 11
Upper Quartile Q3:
Q3 = 3/4(9 + 1) ; 3/4(10) = 7.5th term
Q3 = (7th + 8th term) / 2 = (12 + 13) / 2 = 12.5
Interquartile range (Q3 - Q1)
(12.5 - 9) = 3.5
The high = 14 (highest value in the dataset)
What equation is the rule for the function illustrated by the table of values?
Answer:
The equation which determined the rule for the function is:
y = 3x+2Thus, option B is true.
Step-by-step explanation:
We know the slope-intercept form of line function is
y = mx+b
where m is the slope and b is the y-intercept
Given the table
x -2 -1 0 1 2
y -4 -1 2 5 8
Finding the slope between the points (-2, -4) and (-1, -1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-2,\:-4\right),\:\left(x_2,\:y_2\right)=\left(-1,\:-1\right)[/tex]
[tex]m=\frac{-1-\left(-4\right)}{-1-\left(-2\right)}[/tex]
[tex]m=3[/tex]
Thus, the slope of the function = m = 3
We know that the y-intercept can be determined by setting x = 0 and determining the corresponding y-value.
It is clear,
at x=0, y = 2
Thus, the y-intercept 'b' = 2
now substituting m = 3 and b =2 in the slope-intercept form
y = mx+b
y = 3x + 2
Therefore, the equation which determined the rule for the function is:
y = 3x+2Thus, option B is true.
the grade point average for 10 students are listed below. find the range of the data set.
0.8, 0.9 1.8, 2.0, 2.9, 3.2, 3.3 ,3.6, 4.0
Answer:
might be 22.5 i think but i'm not sure correct me if i'm wrong
Step-by-step explanation:
Answer:
Step-by-step explanation:
the range is the difference between the largest and the smallest value
4.0-0.8=3.2
Which graph shows the solution to the system of linear inequalities? x+5y>=5. y<=2x+4
Answer:
The correct answer is B.
Step-by-step explanation:
The solution to the inequalities is (-11/15. 38/15)
Equation of a lineGiven the systen of inequalities expressed as:
x+5y>=5y<=2x+4inequality graphIn order to get the graph that shows the solution and the coordinate of the solution, equate the inequalities to havee:
(5-x)/5 = 2x + 4
5 - x = 10x + 20
20 - 5 = -11x
15 = -11x
x = -11/15
Given that y = 2x + 4
y = -22/15 + 4
y = 38/15
The solution to the inequalities is (-11/15. 38/15)
Learn more on inequality graph here: https://brainly.com/question/11234618
please help me asap
Answer: -18
Step-by-step explanation: if a=6 then the equation would be (6) - 24 which is -18
i would like to give some people points and also pray for everyone to have a great life
m is proportional to the cube of r. when r=3m,m=216.when r=5 find the value of m
Answer:
The value of m is 1000 for r=5
Step-by-step explanation:
Given that m is proportional to the cube of r
It can be written as:
[tex]m \propto\ r^3[/tex]
When the proportionality symbol is removed a proportionality constant is introduced in the equation.
Let k be the proportionality constant
[tex]m = kr^3[/tex]
Given
r=3,m=216
Putting the values
[tex]216 = k(3)^3\\216 = k * 27\\k = \frac{216}{27}\\k = 8[/tex]
The equation will now become
[tex]m = 8r^3[/tex]
Putting r = 5
[tex]m = 8(5)^3\\m = 8 * 125\\m = 1000[/tex]
Hence,
The value of m is 1000 for r=5
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster rate?
Answer:
Mei descends faster
Mei's height decreases 5ft every second
Victor's height decreases 3.33 ft every second
Step-by-step explanation:
Given
Mel
[tex](x_1,y_1) = (2,50)[/tex]
[tex](x_2,y_2) = (5,35)[/tex]
Victor
[tex](x_1,y_1) = (1,60)[/tex]
[tex](x_2,y_2) = (4,50)[/tex]
Required
Who descend faster?
To do this, we simply calculate the slope/rate of both individuals
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
For Mei:
[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (2,50)[/tex]
[tex](x_2,y_2) = (5,35)[/tex]
[tex]m_1 = \frac{35 -50}{5 - 2}[/tex]
[tex]m_1 = \frac{-15}{3}[/tex]
[tex]m_1 = -5[/tex]
Mei descends at 5ft per second
For Victor:
[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex](x_1,y_1) = (1,60)[/tex]
[tex](x_2,y_2) = (4,50)[/tex]
[tex]m_2 = \frac{50-60}{4 - 1}[/tex]
[tex]m_2 = \frac{-10}{3}[/tex]
[tex]m_2 = -3.33[/tex]
Victor descends at 3.33ft per second
By comparison:
Mei descends faster
Answer:
Mel: -5, 5
Victor: -10/3, 10,3
Edge 2021
Whoever answers this question correctly will get a 5.0 rating, thanks, and a brainlyist.
The question is on the screenshot.
RULE 1: Do not answer just for points because that's just mean.
What is the initial value of the equation shown?
y = −7x − 6
Answer:
[tex]y = -6[/tex]
Step-by-step explanation:
Given
[tex]y = -7x-6[/tex]
Required
Determine the initial value
The initial value of any equation is the point where
[tex]x = 0[/tex]
Substitute 0 for x in [tex]y = -7x-6[/tex]
[tex]y = -7 * 0 - 6[/tex]
[tex]y=0-6[/tex]
[tex]y = -6[/tex]
Hence, the initia; value is -6
Answer:
the answer is -6 ( and or c )
Step-by-step explanation:
Is x = 1/2 a solution of the equation above. 3( x + 1) = 3x
or,3(1/2 +1)=3/2
or,3/2+3=3/2
or,(3+6)/2=3/2
or,9/2=3/2
What is the total cost or sale price to the nearest cent?
$65 Jacket; 35% Discount
How many ways can 3 yearbook posters out of a total of 6 posters be displayed across a wall?
9514 1404 393
Answer:
120
Step-by-step explanation:
The first one can be any of 6. The second can be any of the remaining 5, and the third can be any of the remaining 4. The total number of possible displays is ...
6 × 5 × 4 = 120
3 posters of 6 can be displayed 120 ways.
please help i have 1 hour to complete this
Answer:
for the first one its C,D and E
but for the second one i dont
know so sorry
Step-by-step explanation:
please help me if you think you're hot beautiful skinny funny kind please help me
Answer:
Step-by-step explanation:
y= -5x/2+1
Is 42,260 irrational or rational
Answer:
irrational
Step-by-step explanation:
The five number summary given below represents the cost of groceries per week in different parts of the country.
Min Q1 Median Q3 Max
7 72 79 86 123
Using the interquartile range, which of the following are outliers?
a. 7
b. 36
c. 58
d. 94
e. 123
Answer: 7 ; 26 ; 123
Step-by-step explanation:
Min __Q1 __ Median ___ Q3 __ Max
7____ 72 ____79 ______86__ 123
Given the 5 number summary information :
The Outlier :
Lower bound : Q1 - (1.5 * IQR)
Upper bound : Q3 + (1.5 * IQR
IQR = Q3 - Q1 = (86 - 72) = 14
Lower = 72 - (1.5 * 14)
Lower boundary = 51
Upper boundary = 86 + (1.5 * 14)
Upper boundary = 86 + 21 = 107
Values below 51 and values greater Than 107 are outliers.
Hence, 7, 36 and 123 are outliers
what is the y-intercept of f(x)=3/5x
a. (1, 0)
b. (1, 3/5)
c. (0, 0)
d. (0, 1)
Answer:
o,1
Step-by-step explanation:
The polynomial below is a perfect square trinomial of the form A2 - 2AB + B2.
9x^2-36x+16
A.True
B.False
Step-by-step explanation:
9x² - 36x + 16
= (Ax - B)² = A²x² - 2ABx + B².
By Comparing Coefficients, we have:
A² = 9,
2AB = 36,
B² = 16.
It is obvious that A = 3 and B = 4.
However 2AB = 2(3)(4) = 24 which is not equal to 36.
Hence 9x² - 36x + 16 is not a perfect square trinomial.
Answer:
False
Step-by-step explanation:
The polynomial cannot be factored.
1. Billy's Bagels sells bagels and sandwiches. The profit on every bagel is $2 and
the profit on every sandwich is $3. Billy made a profit of $1,560 last week.
a. Write an equation in standard form that represents Billy's profits last week,
where x is the number of bagels sold and y is the number of sandwiches sold.
Your answer
b. Change the equation for Billy's profit to slope-intercept form.
Your answer
c. Write the equation in function notation.
Your answer
Answer: a. 2x + 3y = 1560
b. y = -2x/3 + 520
c. f(x) = -2x/3 + 520
Step-by-step explanation:I had the same one and I put down random I’m glad you posted this today so I didn’t forget
Dan borrowed money from his parents and he pays back his parents the same amount of money every month He records his payment schedule in a table Aportion
of his payment schedule is shown below, where m represents the month and represents the amount, in dollars that he owes
Month() Amount Owed (s) in Dollars
800
Answer:
D
Step-by-step explanation:
Jmfsxbbihswyvbn
Evaluate log 473 round to the nearest hundredth
Answer:
473 rounded to the nearest hundredth, would be 400.
When solving the equation 3(x-7)=2-x, the property used in the first step is the...
What is 3/10 as a decimal and as a representation percent? Please answer fast thanks
Answer:
as a decimal 0.3 and the percent is 30%
Answer:
in decimal :0.3 and in percent:3/10/total*100%
Step-by-step explanation:
in decimal: 3/10
=0.3
in percent= 3/10/total*100%
Which function represents exponential decay with 5% as the rate of decrease?
Answer:
The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B
Step-by-step explanation:
The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]
The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]
a is the initial valuer is the rate of increase or decrease in decimal∵ The function represents exponential decay with 5%
→ By using the second rule above
∴ y = a [tex](1-r)^{x}[/tex]
∵ The rate of decrease is 5%
∴ r = 5%
→ Change it to decimal by dividing it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ r = 0.05
→ Substitute it in the equation
∵ y = a [tex](1-0.05)^{x}[/tex]
∴ y = a [tex](0.95)^{x}[/tex]
→ Look at the answer to find which equation is written in this form
∴ y = 50 [tex](0.95)^{x}[/tex]
∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]
PLEASE HELP ASAP BEST AND CORRECT ANSWER GET BRAINLIEST
Marla drove m miles. Lawrence drove 15 more miles than Marla. Jerry drove 2 more miles than Marla. Drag and drop the expressions into the boxes to write an expression that represents the total number of miles Marla, Lawrence, and Jerry drove in all.
___ + (plus) ___ + (plus) ___
m
15
2
m + 2
m + 15
m + 30
m - 2
m - 15
fill in the three blanks using three of those answers please!!
Answer:
m + (m + 15) + (m + 2)
Step-by-step explanation:
Even thought we don't know the value of m, we can use expressions to represent it.
Hope this helps.
The required expression is m + (m + 15) + (m + 2) which represents the total number of miles Marla, Lawrence, and Jerry drove in all.
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers. Unknown variables, numbers, and arithmetic operators make up an algebraic expression.
Let's represent Marla drove "m" miles.
Since Lawrence drove 15 more miles than Marla.
So, this means the expression m + 15
Then Jerry drove 2 more miles than Marla.
So, this means the expression m + 2
Now, the total number of miles = m + (m + 15) + (m + 2)
This expression represents the total number of miles Marla, Lawrence, and Jerry drove in all.
Learn more about the algebraic expression here :
brainly.com/question/21751419
#SPJ2
Determine if the following conditional statement is true or false,
alf B is between A and C, then AB + BC = AC
b.ITB is between A and C, then AB = BC,
✓
c. If AB = BC, then B is a midpoint,
Answer:AlF3
Step-by-step explanation:
Bamboo grows at a rate of 3 inches every month. Gina planted Bamboo when it was initially only 11 inches. -Create an explicit formula for this situation. -How tall will the plant be after 6 months?
I’ll give brainliest if you are correct.
Please answerrrrr
Answer:
Step-by-step explanation:
initial growth = 11
growth in 6 months= 3*6= 18
Final growth = 29 inches (11+18)
Grant paid $12 for 4 baseball card packs. How many baseball card packs can he purchase for $21? Group of answer choices
Answer:
Grant can purchase 7 baseball card packs for $21. 12/4=3 and 21/3=7.
Answer: 7
Step-by-step explanation:
Answer:
7 packs
Step-by-step explanation:
12/4 = $3 ea.
21/3 = 7 packs
What's the answer???
Answer:
13.75
Step-by-step explanation:
Which of the following statements best describes the relationship between the point (5,-20) and the system of
inequalities below?
Answer: The point (5,-20) only satisfies the second inequality statement in the system of inequalities shown.
Step-by-step explanation:
It isn't super clear exactly what you're asking, but the first thing we can do is see if the point (5, -20) satisfies the system of equations.
So, we start by plugging in -20 for y and 5 for x.
y > -2x-3
-20 > (-2)(5) - 3
-20 > -10-3
-20 > -13. - we can see that the coordinates DO NOT satisfy the first inequality, now we can try the second equation.
y ≤ 3x + 2
-20 ≤ 3(5) + 2
-20 ≤ 15 +2
-20 ≤ 17 - this inequality is true because -20 is indeed less than 17.