Answer:
5
Step-by-step explanation:
1.) Order the numbers from least to greatest (1,2,4,4,6,7,9,12) then find the HIGHEST and LOWEST #.
2.) Find the number in the very middle, which would be 4 and 6. Since it's not one number, add them both together and divide by 2 (4+6=10, 10/2=5). This will be your MEDIAN.
3.) Similar to step 2, find the number in the middle of the median and lowest number. Ignore the median in this. Since it's 2 numbers again, add both together and divide by 2 (2+4=6, 6/2 = 3, making the first interquartile 3).
4.) Repeat step 3, but instead of finding the number in the middle of the median and lowest number, use the highest number instead of the lowest. Since this also happens to be 2 numbers, repeat the same step of adding the numbers and then dividing by 2 (7+9=16, 16/2=8, making the second interquartile 8).
5.) Now, subtract both interquartiles. This should give you your answer (5).
Find the average rate of change of y=log3 x over the interval 1≤x≤3. Write your answer as a fraction in the simplest form.
Answer:
If the interval is 1 < x < 3, then you are examining the points (1,4) and (3,16). From the first point, let a = 1, and f (a) = 4. From the second point, let b = 3 and f (b) = 16. The average rate of change is 6 over 1, or just 6.
The average rate of change is [tex]\frac{6}{25}[/tex]
What is rate of change over an interval?'When we calculate average rate of change of a function over a given interval, we’re calculating the average number of units that the function moves up or down, per unit along the x-axis. We could also say that we’re measuring how much change occurs in our function’s value per unit on the x-axis.'
According to the given problem,
Rate of change formula = [tex]\frac{f(b) - f(a)}{b-a}[/tex]
y = log3x
⇒ a= 1
b= 3
Therefore,
⇒ [tex]\frac{log(3*3) - log(3*1)}{3-1}[/tex]
⇒ [tex]\frac{log9 - log3}{2}[/tex]
⇒[tex]\frac{1}{2}[/tex] log[tex](\frac{9}{3})[/tex]
⇒ [tex]\frac{1}{2}[/tex] * log 3
⇒ [tex]\frac{6}{25}[/tex]
Hence we can conclude the rate of change as [tex]\frac{6}{25}[/tex]
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PLZ HELPPP will mark the brainliest!!!
Determine the value of variable in the following
equation:
2x + 40 = 30
1 1/2 divided by 3 3/4
The Answer is:
2/5
Simple math.
Part A: Write an algebraic expression for 8 more than 5 times a number. (5 points)
Part B: Write a verbal expression for 4(n + 6). (5 points)
The algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
What is expression ?Expressions is a finite combination of symbols that is well-formed according to rules that depend on the context.
Part A ;We have,
[tex]8[/tex] more than [tex]5[/tex] times a number
Now,
Let a number [tex]=x[/tex]
So,
According to the question,
We get, [tex](8+5x)[/tex]
So, this is the algebraic expression .
Part B ;We have,
[tex]4(n + 6)[/tex]
So,
According to the question,
[tex]4(n + 6)[/tex] will be written as four times the sum of a number and six.
So, this is the verbal expression .
Hence, we can say that the algebraic expression for [tex]8[/tex] more than [tex]5[/tex] times a number will be [tex](8+5x)[/tex] and the verbal expression for [tex]4(n + 6)[/tex] will be four times the sum of a number and six.
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If y = 4x, x = 2z, and z = 3a, what is the value of y - x in terms of a?
A) -20a
B) -18a
C) 6a
D) 18a
E) 20a
With steps please
Answer:
D) 18a
Step-by-step explanation:
y - x
= 4x - x (plug y = 4x)
= 3x
= 3(2z) (plug x = 2z)
= 6z
= 6(3a) (plug z = 3a)
= 18a
A sandwich shop offers wheat or
white buns, turkey or ham, and
mayo or mustard. Sketch a free
diagram to represent the various
options for a sandwich.
a. 8
b. 6
c. 12
d. 4
a car travels at a constant speed of 20m/s.work out the time it takes for the car to travel 10 km. give your answer in minutes and seconds
what is the mean of 4,5,8,3,4
Answer:
4.8
Step-by-step explanation:
4+5+8+3+4=24
24/5=4.8
In a sequence of numbers, a4=3, a5=5, a6=7, a7=9, and a8=11.
Which recursive rule can be used to find the nth term of the sequence, an?
a1=3; an=an−1+2
a1=−3; an=2an−1
a1=3; an=2an−1
a1=−3; an=an−1+2
Answer:
a1=−3; an=an−1+2
Step-by-step explanation:
I just took the quiz and this was what was correct
The length and width of a rectangle are 19.2 cm and 12.4cm respectively. Find the angle between a diagonal and the shorter side of the rectangle.
9514 1404 393
Answer:
57.1°
Step-by-step explanation:
The sides of the rectangle are adjacent and opposite the angle, so the measure is ...
α = arctan(opposite/adjacent) = arctan(19.2/12.4) ≈ 57.1°
The angle between the diagonal and the short side is about 57.1°.
A customer at the store wanted to buy a different watch that was listed at $88 but had a 15% discount. Then the customer had to pay a sales tax of 5% on the discounted price. How much did the customer pay for the watch? *
Step-by-step explanation:
88 X 0,15 =....
... X 1.05 = answer
please sove this
I will mark you as brainleist like and give five stars
Answer:
Negative
Step-by-step explanation:
A negative times a negative equals positive
A positive times a negative equals a negative
A positive times a positive equals a positive
The area of a. square field is 100m square. what is the perimeter of the field?
answer:the Perimeter is 40m
help me please with this answer I'm stuck
What is the angle of rotation of the image?
A. 60°
B. 90
C. 120
D. 180
Answer:
C.
Step-by-step explanation:
360/3 = 120
A car was purchased for $34,000. The car depreciates by 27% of each year
a) What is the value of the car when it is 12 years old?
b) How long will it take for the car to be worth less than $100?
Answer: a) $778.67 b) 19 years
Step-by-step explanation:
The formula you would use is
[tex]a_{n}=P(1-r)^{n}[/tex]
where a is the amount
n is the length of time
P is the principle
and r is the rate in decimal form
a)
[tex]a^{12} =34,000(1-.27)^{12} \\a_{12}=34,000(.73)^{12}\\a_{12} =778.67[/tex]
b)
put your initial equation into a graphing calculator and use the table function to find that after 18 years it is worth 117 and in 19 years 86-
Estimate the perimeter and the area of the shaded figure
Show how u got it please.
Answer:
8(1 +√2)
Step-by-step explanation:
The perimeter is the sum of the sides of the figure
Taking 1 square box as 1 unit
Get the slant side using the pythagoras theorem;
l² = 2² + 2²
l² = 4 + 4
l² = 8
l =√8
Perimeter = 4(√8) + 4 + 4
Perimeter = 8 + 4√8
Perimeter = 8 + 4*2√2
Perimeter = 8 + 8√2
Perimeter = 8(1 +√2)
hence the perimeter of the shape is 8(1 +√2)
Sathish is going on a 210021002100-kilometer road trip with 222 friends, whom he will pick up 150150150 kilometers after he begins the trip and drop off when there are 150150150 kilometers remaining. The car consumes 666 liters of gas for every 100100100 kilometers, and gas costs \$1.20$1.20dollar sign, 1, point, 20 per liter.
Sathish will pay for all of the gas when he is alone in the car, but he and his friends will split the cost evenly when they are together.
Answer:
64.80
Step-by-step explanation:
look at pic 10 pts will mark brainilest
Answer:
6
Step-by-step explanation:
E ( [tex]x_{A} ;y_{A}[/tex] ) = (-2, -3)
G ( [tex]x_{B} ;y_{B}[/tex] ) = (4, -3)
Objective : Find the distance between two given points EG
Formula : Distance between two points
[tex]d = \sqrt{( x_{B} -x_{A} )^{2} + ( y_{B} -y_{A} )^{2}}[/tex]
Solution : [tex]d = \sqrt{( 4 -(-2) )^{2} + (-3-(-3))^{2}} = \sqrt{( 4 -(-2) )^{2} + (-3-(-3))^{2}} =\sqrt{36+0} =6[/tex]
if answer is correct brainliest
Jon was at a football match.
The match ended at 16:55
Jon got back to his car in the car park 15 minutes after the match ended.
He drove out of the car park 10 minutes later.
It then took him 45 minutes to drive home.
Did Jon get home before 18 00?
You must show how you get your answer.
Answer:
no he will make it home at 18:15
Step-by-step explanation:
[tex]4:55+15=5:10\\5:10+10=5:20\\5:20+45=6:15[/tex]
Use mental math to solve the equation n − 4 = 12.
Answer:
The answer is n=16.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
Answer:
n = 16
Step-by-step explanation:
Add for to both sides: n - 4 + 4 = 12 + 4
Then simplify it and your answer is: n = 16
A bag contains 6 red marbles, 5 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
Step-by-step explanation:
i think you meant whats the probabilty of it being red
if thats what you meant, then it would be:
total number of marbles : 18
number of red marbles: 6
probability of the green marbles: 6/18
so the answer is 1/3
1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?
Answer:
the second graph (c)
Step-by-step explanation:
The curve is passing through (0, 2) and (0, -3). Then the correct option is B.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The zeroes of the polynomial function are 2 and -3.
The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.
The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).
Thus, the correct option is B.
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David attended a summer camp last July. He recorded the ages of the camp counselors
here.
Ages: 18, 19, 19, 19, 21, 23, 23, 24, 24, 25, 26
David wants to create a box plot to display the ages he recorded. Which box plot is the best
representation of the information?
( Please help, I need an answer ASAP ;-; )
Answer:
no offence but this David guy sounds like a nerd i mean who would go to camp just to make a graph
Step-by-step explanation:
What is the length of EF? (PLEASE HELP)
4π
2π
8π
π
Answer: 8 pie
Step-by-step explanation:
8====>
The length of the given arc is determined as 2π.
option B is the correct answer.
What is the length of the arc EF?The length of the arc EF is calculated by applying the formula for the length of an arc as shown below;
EF = θr
where;
θ is the angle subtended by the arcr is the radius of the sectorFrom the given diagram, the radius of the arc = 4, and the angle subtended by the arc = π/2
The length of the arc is calculated as follows;
EF = ( π/2 ) x 4
EF = 2π
Thus, the length of the given arc is determined by applying the formula for length of an arc.
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Question
Use a number line to compare the following fractions: 4/3 7/6
The comparison is that:
4/3 is greater than 7/6 and 7/6 is less than 4/3
The fractions are given as:
4/3 and 7/6
See attachment for the number line that represents both fractions
From the number line. 4/3 is at the right of 7/6
This means that:
4/3 is greater than 7/6 and 7/6 is less than 4/3
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find the length of x
help please i need it asap
Step-by-step explanation:
[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]
#CMIIW1 divided by what equals 2.2?
Answer:
The answer is 2.2
Step-by-step explanation:
To find the missing number, you need to use the opposite operation to find the value of n:
Original equation: 1 / n = 2.2
New equation: 1 * 2.2 = 2.2
