Answer:
To find the interquartile range (IQR), first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.
Step-by-step explanation:
If 3x − (7 − x) = 29, find the value of 6x.
Hint:
Rewrite 3x − (7 − x) as
3x + −1(7 − x)
and then use the Distributive Property to simplify.
6x = 45
6x = 60
6x = 46
6x = 54
Answer:
54
Step-by-step explanation:
3x -(7-x) = 29 remove the parens
3x - 7 + x = 29 simplify
4x -7 = 29 add 7 to both sides of the equation
4x = 36 divide by
x = 9
then 6x = 6 * 9 = 54
Answer:
54
Step-by-step explanation:
3x -(7-x) = 29
3x - 7 + x = 29
4x -7 = 29
4x = 36
x = 9
6x = 6 x 9
6 x 9 = 54
PLEASE HELP ME! 100 POINTS and BRAINLIEST!
Consider this dilation.
Hint: Remember the notation for the original figure and the figure after it has undergone transformation.
(a) Is the image of the dilation a reduction or an enlargement of the original figure? Explain.
(b) What is the scale factor? Explain and show your work.
Answer:
(a) Reduction
(b) scale factor = 1/2
Step-by-step explanation:
(a) A reduction is a dilation that creates a smaller image.
As A'B'C'D' is smaller than ABCD, image A'B'C'D' is a reduction of image ABCD.
(b) To find the scale factor:
find the center of dilation by connecting the corresponding points from the original and dilated image and finding where these lines intersect (see attached image)measure from the center of dilation to a point on the original image.measure from the center of dilation to the corresponding point on the dilated image.Divide the distance to the dilated image by the distance to the original image.center of dilation = (0, 0)
(0, 0) to point C = 4 units
(0, 0) to point C' = 2 units
⇒ scale factor = 2/4 = 1/2
In 2005, the population of a state was 31,006,000. If the population grows at 1. 2% per year, approximately how many years ( from 2005 ) it will take for the population to reach 40,000,000? ( assuming it grows at the same rate )
Answer:
21
Step-by-step explanation:
Trial and error into (APPROXIMATELY)
y=31,006,000(1+.012)^x
Given h(x) = -x -4, find h(-6).
Answer:
2
Step-by-step explanation:
h ( x ) = - x - 4
To find : h ( - 6 )
h ( - 6 ) = h ( x )
Here,
x = - 6
h ( - 6 ) = - x - 4
= - ( - 6 ) - 4
= 6 + 4
h ( - 6 ) = 2
Light travels at approximately 2.998 x 10^5km/s (correct to 4 significant figures. The distance
between the Sun and the Earth is 1.495 X 10^8 km. How long would it take for light to travel from
the Sun to the Earth? Give your answer in scientific notation correct to 3 significant figures.
Answer:
498.66577718478985990660440293529019346230820547031354236157438292 seconds
Step-by-step explanation:
What is the value of log subscript 6 baseline startfraction 1 over 36 endfraction? –6 –2 2 6
The value of log subscript 6 baseline start fraction 1 over 36 end fraction is -2.
Let x is the unknown value
We have to determine the value of x
[tex]Log_6 ( 1/36) = x....Given[/tex]
What is the meaning of logarithmic function?Logarithmic functions are the inverses of exponential functions, and an exponential function can be expressed in logarithmic form.
[tex]( 1/36) = 36^{-1} = (6^{2})^{-1} = 6^{-1}[/tex]
[tex]Log_6( 1/36) = Log_6 6^{-2} = -2 Log_6 6[/tex]
We know that,
[tex]log_aa=1[/tex]
Therefore by applying the above rule of log we have
[tex]Log_6 6 = 1[/tex]
Therefore we get
[tex]-2 Log_6 6 = -2(1) = -2[/tex]
Therefore option 2 is correct.
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Answer:
2
Step-by-step explanation:
help please )question 2
A factory produces 80,000 candies each day. They produce equal quantities of four flavors: cherry, lemon, orange, and strawberry. The candies are mixed together during packaging.
What is the probability that a randomly selected candy is orange?
0.25 is the probability that the randomly selected candy is orange
Given circle O with diameter AB find x
A circle is a curve sketched out by a point moving in a plane. The measure of x is 60°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given that the measure of the arc AC is 120°. Now, as we know, the diameter divides the circle into two equal chords of 180° each. Therefore, the measure of x can be written as,
[tex]x = {\rm arcAB-arc AC}\\\\x = 180^o-120^o\\\\x = 60^o[/tex]
Hence, the measure of x is 60°.
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Using the tables as experimental data, determine whether it is more likely for a new retail establishment to succeed and earn profits of $50,000 or more, or whether it is more likely for a new service establishment to succeed and earn profits of $25,000 or less, and how much more likely the one situation is than the other. express all probabilities as percentages to two decimal places, and express differences by number of percentage points (for example, 23% is 5 percentage points greater than 18%). a. the situation involving the retail establishment has a probability 0.99 percentage points higher than the situation involving the service establishment. b. the situation involving the retail establishment has a probability 4.91 percentage points higher than the situation involving the service establishment. c. the situation involving the service establishment has a probability 5.66 percentage points higher than the situation involving the retail establishment. d. the situation involving the service establishment has a probability 6.35 percentage points higher than the situation involving the retail establishment.
The probability for the establishment to succeed and earn profits of $50,000 or more or not is option C.
What is Probability?This refers to the area of mathematics that has to do with the possibility of an event occurring.
Hence, we need to find the probability of the establishment succeeding and earning profits of $50,000 or more, or whether it is more likely for a new service establishment to succeed and earn profits of $25,000 or less is:
C. The situation involving the service establishment has a probability 3.11 percentage points higher than the situation involving the retail establishmentRead more about probability here:
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I NEED THE ANSWER ASAP
Answer:
x = 5
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
21x + 5 is an exterior angle of the triangle , then
21x + 5 = 5 + 13x + 40
21x + 5 = 13x + 45 ( subtract 13x from both sides )
8x + 5 = 45 ( subtract 5 from both sides )
8x = 40 ( divide both sides by 8 )
x = 5
Answer:
x=5
Step-by-step explanation:
Angles Q and R are supplementary
13x + 21x +5 = 180
10+34x =180
34x=170
x = 5
To make a quiche, you need 1 tablespoon of butter for every 6 eggs. Write a ratio that compares these two quantities. Which ratios are equivalent to this ratio? Check all that apply.
12 eggs Over 2 tablespoons
15 eggs Over 3 tablespoons
24 eggs Over 4 tablespoons
9 eggs Over 1.5 tablespoons
Answer:
12 eggs over 2 tablespoons, 24 eggs over 4 tablespoons, and 9 eggs over 1.5 tablespoons
Step-by-step explanation:
1 tablespoon of butter for every 6 eggs makes the ratio 6:1
Now let's make the ratio for all of them:
12:2
15:3
24:4
9:1.5
We can simplify them
6:1
5:1
6:1
6:1
There is your answer,
1) 12 eggs Over 2 tablespoons
2) 15 eggs Over 3 tablespoons
3) 9 eggs Over 1.5 tablespoons
Hope it helped :)
Please help me solve these.
Answer:
It's B.
Step-by-step explanation:
Urgent. There are 12 coloured counters in a bag. The counters are black, white or grey A counter is chosen at random. The probability that the counter is not black is 3/4. The probability that the counter is not white is 2/3. Work out the probability that the counter is grey.
Answer:
1/12
Step-by-step explanation:
Needed information
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
The sum of the probabilities of all outcomes must equal 1
Solution
We are told that the probability that the counter is not black is 3/4.
As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is black by subtracting 3/4 from 1:
[tex]\sf P(counter\:not\:black)=\dfrac34[/tex]
[tex]\implies \sf P(counter\:black)=1-\dfrac34=\dfrac14[/tex]
We are told that the probability that the counter is not white is 2/3.
As the sum of the probabilities of all outcomes must equal 1, we can work out the probability that the counter is white by subtracting 2/3 from 1:
[tex]\sf P(counter\:not\:white)=\dfrac23[/tex]
[tex]\implies \sf P(counter\:white)=1-\dfrac23=\dfrac13[/tex]
We are told that there are black, white and grey counters in the bag. We also know that the sum of the probabilities of all outcomes must equal 1. Therefore, we can work out the probability the counter is grey by subtracting the probability the counter is black and the probability the counter is white from 1:
[tex]\begin{aligned}\sf P(counter\:grey) & = \sf1-P(counter\:black)-P(counter\:white)\\\\ & =\sf 1-\dfrac14-\dfrac13\\\\ & = \sf \dfrac{12}{12}-\dfrac{3}{12}-\dfrac{4}{12}\\\\ & = \sf \dfrac{12-3-4}{12}\\\\ & = \sf \dfrac{5}{12}\end{aligned}[/tex]
no links pls or pdf thanks
Answer:
x = 45 degrees
Step-by-step explanation:
The angles is 90 degrees because it is a corner. Half of 90 is 45.
What is the domain & range?
Step-by-step explanation:
Domain: from 0 to 50 or [0, 50]
Range: from 0 to 100 or [0,100]
comment if you need any further guidance.
if side lengths of a square is 3/7 then what is the area
Answer:
A = 9/49 sq units
Step-by-step explanation:
To find area of a square multiply:
Area = side × side
To multiply a fraction times a fraction, multiply the top number × top number and bottom × bottom.
A = 3/7 × 3/7
A = 9/49 sq units
write each quotation as a fraction or mixed number
Step-by-step explanation:
wheres. the. quatation it doesnt say
Simplify the following expression. x/2(x +2)2 + 15x
Answer:
The simplified expression would be x^2 + 17x.
Learning Task 2
You are given the different weights (in kg) of lanzones by kaing. Complete the Stem-and-Leaf Display to organize the following data set.
The stem-and-leaf plot for the given different wieghts (in kg) is displayed in the image attached below.
What is a Stem-and-Leaf Plot?A stem-and-leaf plot is a graphical tool used to display data points, in such a way that, if 26, 27, and 28 are data points, 2 will be the stem in a row and along with 6, 7, 8 as the leaf.
Given the data points, 16, 15, 23, 24, 13, 21, 15, 26, 22, 24, 30, 24, 10, 17, 19, 17, 28, 31, 29, 14, the stem-and-leaf plot is displayed in the image attached below (see attachment).
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Answer and you get brainliest
Answer:
9:13
Step-by-step explanation:
9 students : 13 students
dont wear glasses : wear glasses
Answer:
9:13
Step-by-step explanation:
If 13 students wear them and 9 do not, those are the only given numbers in the equation so they must be used for the ratio. In the second part, it tells you the students that do not FIRST and then the students that do SECOND. You have to put it in the correct order for it to be accurate. So the answer would be 9:13
hope this helps u :)
What is the area of a regular hexagon with a side length of 4 m? enter your answer in the box. round only your final answer to the nearest hundredth. m²
Answer:
41.57
Step-by-step explanation:
took the test
HELP!! let f be defined as shown. what is f^-1(-3)?
Answer:
F is the base or variable.
if it is asking for a simplifed version of this its -3/f
Step-by-step explanation:
Graph y = - 3x + 4 please help Ul mark brainliest
[tex]\bold{Heya!}[/tex]
[tex]\huge \boxed {\underline{Proof \: is \: shown \: below:}}[/tex]
Hopefully This Helps ! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
if [tex]a-\frac{1}{a} =5[/tex] then what is[tex]a^{2}+\frac{1}{a^{2} }[/tex]
Work Shown:
[tex]a - \frac{1}{a} = 5\\\\\left(a - \frac{1}{a}\right)^2 = 5^2\\\\\left(a\right)^2 - 2a*\frac{1}{a} + \left(\frac{1}{a}\right)^2 = 25\\\\a^2 - 2 + \frac{1}{a^2} = 25\\\\a^2 + \frac{1}{a^2} = 25+2\\\\a^2 + \frac{1}{a^2} = 27\\\\[/tex]
Note: On the third step, I used the rule that [tex](x-y)^2 = x^2-2xy+y^2[/tex]
Alyssa has 6/8 of a cup of caramel dip for apples. if she uses ¼ cup of the dip for each apple, how many apples can Alyssa dip for each apple
A) 3
B) 4
C) 6
D) 7
Answer:
Alyssa will dip 3 apples for each apple
Step-by-step explanation:
because 6/8÷1/4=3
Natalie has a 45 centimeter long piece of ribbon. She wants to cut it into equal pieces to give her 5 friends. How long will each piece be in millimeters? Describe the steps you would take to solve this problem.
Answer:
9
Step-by-step explanation:
We know she has a total of 45 Cenitmeter and she has five groups she needs to split the ribion into. 45/5 =9
9+9=18+9=27+9=36+9=45
1 2 3 4 5
What expression can be used to add 3/4 + 1/6
Answer:
11 / 12 or 0.9167
Step-by-step explanation:
Given:
3/4 + 1/6
Find:
Value with expression
Computation:
"3/4 added to number 1/6"
3/4 + 1/6
By taking LCM
[9 + 2] / 12
11 / 12 or 0.9167
brainliest?
Number 8 helpppppp math
The probability of a customer purchase popcorn at the movie theater is 0.3. What is the probability that a customer will not purchase popcorn
Reason:
There's a 30% chance they buy the popcorn, which means there's a 70% chance they don't buy it.
100% - 30% = 70%
Then convert the 70% to 0.7
Answer:
0.7 or 70%
Step-by-step explanation:
0.3 * 100 = 30%
100%-30% = 70%
You either buy or not. If 30% you don't then 70% you do.
What are the first and third quartiles of the data?
2 3 3 4 5 7 8 8 8 10 10 12
Answer:
3 & 8
Step-by-step explanation:
Hope this helps