The increase will be the original price x the increase rate.
15649 x 0.035 = $547.72
The new price would be original price + increase
15649 + 547.72 = $16,196.72
What is the interquartile range (IQR) of the data set represented by this box
plot?
32
39
44
61
69
Ο Α. 22
Ο Β. 17
Ο Ο Ο Ο
C. 39
D. 44
Using the median concept, the interquartile range of the data-set is:
A. 22.
What are the median and the quartiles of a data-set?The median of the data-set separates the bottom half from the upper half, that is, it is the 50th percentile.The first quartile is the median of the first half of the data-set.The third quartile is the median of the second half of the data-set.The interquartile range is the difference of the third and the first quartile.From this box plot, we have that:
The first quartile is of 39.The third quaritle is of 61.Then the IQR is:
61 - 39 = 22.
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Write the equation of a line PERPENDICULAR
to 3x + y = 1 that passes through the point (3,
-1).
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
For which points is the y-coordinate greater than -3
Answer:
d,c,a
Step-by-step explanation:
guess it helps
4. What is the experimental probability of flipping a head after
twenty flips of the coin?
A bag contains 10 coloured balls. 5 of them are red and 3 of them are blue. A ball is taken from the bag at random, then replaced. A second ball is then selected at random. Find the probability that the first ball is red and the second ball is blue.
The probability that the first ball drawn is red and the second ball drawn is blue is 3/20.
The probability that the first ball drawn is red and the second ball drawn is blue, we need to multiply the probability of drawing a red ball on the first draw by the probability of drawing a blue ball on the second draw.
Given that there are 10 balls in total, with 5 red balls and 3 blue balls, the probability of drawing a red ball on the first draw is 5/10 = 1/2.
Since the ball is replaced after the first draw, the total number of balls remains the same for the second draw.
The probability of drawing a blue ball on the second draw is also 3/10.
To find the probability of both events occurring (the first ball being red and the second ball being blue), we multiply the probabilities:
Probability = (Probability of drawing a red ball) × (Probability of drawing a blue ball)
= (1/2) × (3/10)
= 3/20
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Help pls!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
q=6 and r=7 look at pic for work
Answer:
It's q = 6 and r = 7
Step-by-step explanation:
Hope this helps and have a great day (^w^)
Also Hi B
What is 56x1
Just a regular normal question from me
Your welcome in advance
Answer:
56
Step-by-step explanation:
Hope this helps
Answer:
56
Step-by-step explanation:
56×1=56
Christian was 145 cm tall when he was 12 years old. And 3 years later, he became 168.2 cm tall. By what percent did Christian's height increase?
Answer: 16%
Step-by-step explanation:
168.2 - 145 = 23.2
23.2/145 = 0.16
0.16 as a percent is 16%
The percentage change of the height is A = 16 %
What is Percentage?A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.
Percentage change is the difference between the measured value and the true value , as a percentage of the true value
Percentage change =( (| Measured Value - True Value |) / True Value ) x 100
Given data ,
Christian's height increased by
168.2 - 145 = 23.2 cm
To find the percentage increase, we need to divide the increase by the original height and then multiply by 100:
Percentage increase = (23.2 / 145) x 100%
Percentage increase = 0.16 x 100%
Percentage increase = 16%
Hence , Christian's height increased by 16%
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Determine the position function if the velocity function is v(t)=3-12t m/s and the initial position is s(0)=3m.
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
A city has a 5% sales tax.
Is there a proportional relationship between the cost of items before tax and the cost of items after tax?
Yes or No
Answer:
Yes,
There is a direct proportional relationship between the cost of items before tax and the cost of items after tax.
Step-by-step explanation:
Given - A city has a 5% sales tax.
To find - Is there a proportional relationship between the cost of items
before tax and the cost of items after tax?
Proof -
Yes, cost of items before tax is directly proportional to cost of items after tax.
Reason -
With the increase in the sales tax, there is increase in the cost of items after tax, therefore, there is a direct relation between cost of items before tax and cost of items after tax.
4x^2-4x=3
Plz will mark brainliest!
Answer:
=−1/2
=3/2
Step-by-step explanation:
Answer:
x = -1/2
x = 3/2
Step-by-step explanation:
4x² - 4x = 3
Subtract 3.
4x² - 4x - 3 = 0
Factor by grouping.
(2x + 1)(2x - 3) = 0
2x + 1 = 0
2x - 3 = 0
x = -1/2
x = 3/2
good luck, i hope this helps :)
From an inventory of 48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed. What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Answer:
0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
Step-by-step explanation:
The cars are chosen without replacement, so the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
48 new cars being shipped to local dealerships, corporate reports indicate that 12 have defective radios installed.
This means that [tex]N = 48, k = 12[/tex]
8 cars received.
This means that [tex]n = 8[/tex]
What is the probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
This is
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,48,8,12) = \frac{C_{12,0}*C_{36,8}}{C_{48,8}} = 0.0802[/tex]
[tex]P(X = 1) = h(1,48,8,12) = \frac{C_{12,1}*C_{36,7}}{C_{48,8}} = 0.2655[/tex]
[tex]P(X = 2) = h(2,48,8,12) = \frac{C_{12,2}*C_{36,6}}{C_{48,8}} = 0.3407[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0802 + 0.2655 + 0.3407 = 0.6864[/tex]
0.6864 = 68.64% probability out of the 8 new cars it just received that, when each is tested, no more than 2 of the cars have defective radios
1. A Square shaped wooden plate has a diagonal length of 30cm. Can you find the Perimeter of plate ?
Answer:
84.85cm
Step-by-step explanation:
Let the sides of the square be x
The perimeter of the square = 4x
Get x using the pythagoras theorem
x^2 + x^2 = 30^2
2x^2 = 900
x^2 = 450
x = 21.21cm
Perimeter of the plate = 4(21.21)
Perimeter of the plate = 84.85cm
Sylvia had a small box. She filled it with 64 triangle pattern blocks. She said "The volume of this box is 64 cubic units." Do you agree with Sylvia? Why or why not?
Answer:
I do not agree with Sylvia
Step-by-step explanation:
Given
1 small box
64 triangle pattern blocks
Required
Is she right?
From the question, we understand that she fills the box with 64 blocks.
For the fact that she did this; it does not mean that the volume of the small box is 64 cubic units (even if she filled the box completely and the triangle pattern blocks are identical)
The reason for this is that, the volume of each box may not be 1 cubic unit.
So, first she needs to determine the volume of each pattern block, then multiply by 64. If the result is 64, then the volume of the box is 64 cubic units.
Since, it is not stated, we will not make any assumptions.
Hence, I do not agree with Sylvia.
2/3 times (-4/5) I have no idea lol
Answer:
-8/15
Step-by-step explanation:
That's your answer
On a family vacation, Melissa's family drove 480 miles from Cincinnati,
Ohio to Charlotte, North Carolina. Her dad drove 35% of the way and her
mom drove 65% of the distance her dad drove. If her brother drove the
remaining miles, about how many miles did her mom, dad, and brother
each drive
Answer:Melissa's mom, dad, and brother each drove 312miles, 168miles and 0 miles respectively
Step-by-step explanation:
If Mellisa's dad drove 35% of the way
and Melissa's mum drove 65% of the way,
Then
Melissa's brother did not drive at all because
Miles covered by her dad = 35% x 480 = 0.35 x480= 168 miles
Miles covered by her mum= 65% x 480 = 0.65 x 480=312miles
her mom, dad, and brother each drove 312miles, 168miles and 0 miles respe ctively
[tex]0.004 \times 0 .81[/tex]
Rachel paid for a -pound bag of shrimp at one store. The following week, she paid for a -pound bag at another store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
I need to know how much each bag costs. And how many pounds they are. If you can add that I can give you and answer.
Step-by-step explanation:
6x-3y=15 y=2x-5 help meeeeeeeeeeew
Hey there!!
Let me know if you need an explanation on how I reached my final answer:
As we solve for the first variable in one of the equations, we then substitute the result into the other equation.
Your answer:
Y=2x-5
Let me know if you have any questions or concerns!! Hope this helps!!
Can someone help me with two geometry questions? They are in a PDF document that I attached.
Answer:
use
x+y=z
and see magic answer is there
Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. At that rate, how much would she pay in sales tax for an item that costs $40.00 before tax?
Answer:
She would pay $2.80 in sales tax.
Step-by-step explanation:
This question can be solved by proportions, using a rule of three.
Megan paid $2.52 in sales tax on an item that cost $36.00 before tax. How much in taxes for $40.00 before taxes?
$2.52 - $36.00
x - $40.00
Applying cross multiplication
[tex]36x = 40*2.52[/tex]
[tex]x = \frac{40*2.52}{36}[/tex]
[tex]x = 2.8[/tex]
She would pay $2.80 in sales tax.
A snowstorm lasted for three days. During the storm, 8 inches of snow fell on the first day, 6 inches of snow fell
on the second day, and 9 inches of snow fell on the third day. Altogether, how many feet of snow fell during the
three-day snowstorm? Use paper to show your work.
During the snow storm
feet of snow fell.
Answer:
Basically we need to add all of the inches
Step-by-step explanation:
so...
8 inch ( first day ) + 6 inch ( second day) + 9 inch ( third day )
add all those inches together what do you get?
23 inches in total. So altogether 23 inches of snow fell during the 3-day storm
Answer:
1.9
Step-by-step explanation:
A foot is 12 inches, add 8+9+6 you get 23 convert. 23 inches to feet you get 1.9 feet
The data set below shows the number of points scored by a basketball team for each of nine games. If the mean of the data is 83 and the standard deviation is 6.5, identify all the scores that are within one standard deviation of the mean. {71, 77, 79, 80, 83, 87, 88, 90, 92}
Answer:
The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88
Step-by-step explanation:
The mean of the data is 83 and the standard deviation is 6.5, find scores within 1 standard deviation of the mean:
Between
83 - 6.5 = 76.5
83 + 6.5 = 89.5
So:
The scores within one standard deviation of the mean are: 77, 79, 80, 83, 87, 88
Two numbers have a sum of 527 and a difference of 195. What is the smaller of the two numbers?
Answer:
166
Step-by-step explanation:
let two numbers be x and y
according to question,
x+y=527..........equation 1
x-y=195...........equation 2
add both the equations you will get
x=361 and y= 166
So the smaller of two numbers is y=166
Find (-21)+(-13)+20.
Answer:
14
Step-by-step explanation:
-21+-13+20=14
This is true because when subtracting negatives by negatives you pretty much add them and then when you add a positive to a negative you are technically removing the negative by the amount you are adding.
In short its kind of like using inverse operation in a way.
Hope this helps and have a nice day
Also may I please have a brainliest!!!
Which of the binomials below is a factor of this trinomial? 6X squared minus 7X -5
Answer:
C. 2x + 1
Step-by-step explanation:
Factorize 6x² - 7x - 5
6x² + 3x - 10x - 5
3x(2x + 1) - 5(2x + 1)
(3x - 5)(2x + 1)
Therefore, 2x + 1 is a binomial factor of 6x² - 7x - 5.
Estimate 5/8 − 1/10.
A. 0
B. 1/2
C. 1
D. 1 1/2
Answer:
B
Step-by-step explanation:
Closest answer
Answer:
1
Step-by-step explanation:
hope it helps . ans is c
which expression is equivalent to (5m) ^3
Answer:
5m•5m•5m
Step-by-step explanation:
so you multiply the factor by itself as many times as the exponent says so if the factor is 5m you would multiply it by the exponent which in this case is 3
5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is (5m)³
We have to find the equivalent expression of (5m)³
Equivalent expressions are expressions that work the same even though they look different
(5m)³ can be written as 5m.5m.5m
The value of five cube is one hundred twenty five.
125m³
Hence, 5m.5m.5m and 125m³ is the equivalent expressions of the expression (5m)³.
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एक कार की गति 92.4 किमी प्रति घंटा है यह 20 मिनट मे कितना दुरी तय करेगी
Answer:
mate I will surely help if nut pls translate it in English as I can barely read hindi
For which value of x must the expression V59X be further simplified?