Box plot 5 important descriptive measures about data that they represent.
The median snowfall for Resort B is greater than the median for Resort A
The interquartile range has higher values for Resort A than for Resort B.
Resort B has more snowfall overall than Resort A does.
How does a boxplot show the data points?
A box plot has 5 data descriptions.
The leftmost whisker shows the minimum value in the data.
The rightmost whisker shows the maximum value in the data.
The leftmost line in the box shows the first quartile.
The middle line shows the median, also called the second quartile.
The last line of the box shows the third quartile.
How to find the interquartile range?IQR(interquartile range) is the difference between the third and first quartile.
Inferring the information each box plot describe, we get:
Case 1: For resort A:
Wisker's minimum value = minimum value for resort A = 175
Maximum value = 375
Box's minimum value = First quartile = 250
Box's maximum value = Third quartile = 300
First quartile = 250 < Median = Second quartile < 300 = third quartile
Thus, 250 < Median for resort A < 300
IQR = Third quartile - first quartile = 300 - 250 = 50
Range of values = Max - min = 375 - 175 = 200
Case 2: For resort B:
Wisker's minimum value = minimum value for resort B = 200
Maximum value = 400
Box's minimum value = First quartile = 300
Box's maximum value = Third quartile = 325
First quartile = 300 < Median = Second quartile < 375 = third quartile
Thus, 300 < Median for resort B < 375
IQR = Third quartile - first quartile = 325 - 300 = 25
Range of values= Max - min = 400 - 200
Thus, it is visible that:
Median for resort A < 300 < Median for resort B
or
Median for resort A < Median for resort B.
and
IQR for resort A = 50 > IQR for resort B = 25
and
Both have the same variation as both ranges are the same, which is the interval of values assumed for both resorts.
Hence, Minimum, maximum, first, and third quartile all are smaller for resort A, thus, Resort B has more snowfall overall than Resort A does.
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What is the approximate median snowfall at Resort A?
✔ 275 inches
What is the approximate median snowfall at Resort B?
✔ 325 inches
All of the following are equivalent, except _____.
(12 + 3x) x
12 x + 3 x
(12 + 3) x
15 x
Answer:
x = 5
so that means the solution
Step-by-step explanation:
45x16+3X14+12x13=x918
The answer is:
AWork/explanation:
Let's take the time to simplify each of these expressions and see which ones are equivalent.
[tex]\mathbb{OPTION~A}[/tex]
[tex]\sf{(12+3x)x}[/tex]
Simplify by distributing x:
[tex]\sf{12x+3x^2}[/tex]
__________
[tex]\mathbb{OPTION~B}[/tex]
[tex]\sf{12x+3x}[/tex]
Combine like terms:
[tex]\sf{15x}[/tex]
__________
[tex]\mathbb{OPTION~C}[/tex]
distribute x
[tex]\sf{(12+3)x}=12x+3x=15x}[/tex]
___________
[tex]\mathbb{OPTION~D}[/tex]
Nothing can be done to simplify the expression 15x.
Hence, the "odd one out" is A, as it's not equivalent to the others.Which of the following modifications to the list of assets and liabilities below would result in a positive net worth? Home owned $105,000. Mortgage owed $100,000. Car valued at $26,000. Car loan of $22,000. Investment fund of $4,500. Savings of $1,500. Credit card balance of $15,000. A. Lowering mortgage by $1,000. B. Increasing investment fund by $500. C. Adding $100 to savings. D. All of the above. Please select the best answer from the choices provided A B C D.
Answer:
I think its D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Identify a1 and r for the geometric sequence defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1 a1 = r =.
Answer:
Identify a1 and r for the geometric sequence
defined by a Subscript n Baseline = negative 256 (negative one-fourth) Superscript n minus 1
a1 =
-256
r =
-1/4
Approximate the sum of the first 17 terms to the nearest tenth.
Sum =
-204.8
Step-by-step explanation:
The value [tex]a_1[/tex] is -256.
The value r = -1/4
What is a geometric sequence?A geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant.
Example:
2, 4, 8, 16 is a geometric sequence.
We have,
In a geometric sequence,
Each term is obtained by multiplying the preceding term by a constant factor, which is called the common ratio (r).
So,
The nth term of the sequence.
[tex]a_n[/tex] = -256 x [tex](-1/4){n-1}[/tex]
Now,
[tex]a_1[/tex] = -256 x [tex](-1/4)^{1 -1}[/tex]
= -256 [tex](-1/4)^0[/tex]
= -256 x 1
= -256
[tex]a_2[/tex] = -256 x [tex](-1/4)^{2-1}[/tex]
= -256 x [tex](-1/4)^1[/tex]
= -256 x -1/4
= 64
Now,
[tex]a_1[/tex] r = [tex]a_2[/tex]
-256 x r = 64
r = 64 / -256
r = -1/4
Therefore,
[tex]a_1[/tex]= -256 and r = -1/4
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Workers in an office of 120 staff were asked their favourite type of take-away.
The results are summarised in the table.
Take-away Frequency Angle
Pizza 18
a
Curry 5
b
Fish & chips 25
c
Kebab 3
d
Other 69
e
How many degrees represent 1 person?
Angles: 42°, 114°, 24°, 30°, 150°.
Through observation and surveys, Dr. Thompson was able to determine how much time a sample of children spent playing outside. What type of research is this
The type of research that's illustrated in this case is a descriptive study.
What is a descriptive study?Descriptive study simply means a study where information is collected without changing the environment.
Since Dr. Thompson was able to determine how much time a sample of children spent playing outside, this is a descriptive study.
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uiz / 3 of 5
Two different cell phone companies charge a monthly fee, plus a cost per text message. Cell phone company M charges a monthly fee of
$10, plus $0.15 per text message. The table below shows monthly charges of cell phone company N based on the number of texts.
Phone Company N
Number of Monthly
Texts
Charge
(x)
(y)
25
$17.50
50
$20.00
75
$22.50
Answer:
$22.50....................
Look at the shaded shapes drawn on a square grid.
A
B
Steven says:
The area of rectangle A is double the area of square B.
Is he correct?
Explain your answer:
Answer:
No. Steven is not correct.
Step-by-step explanation:
The area of shape A is 15 (either multiply 5 x 3 or just count squares). The area of shape B is 9.
15 is not double 9.
In 2020, summer camp registration was $15
more than it was in 2021. In 2020, registration
was $285. By what percentage did the summer
camp registration decrease in 2021?
Answer:
I think your answer is 5.25% or it could be 5.3 or 5
5.26 percent of the summer camp registration decreased in 2021
What is the percentage?The ratio of two numbers that has no dimensions is what is known as a percentage. It may be used to determine how much one number exceeds another when comparing two figures, or it is used to compare the two statistics to a uniform grid.
In 2020, there was a $285 membership fee for summer camp.
It is stated that the membership cost for summer camp increased by $15 in 2020 compared to 2021. We can calculate the summer camp registration cost for 2021 using the data given.
In 2021, there was a $285-$15 membership fee for summer camps.
there was a $270 membership fee for summer camps.
The gradual decrease in the summer enrichment registration price must be determined = (Drop/Initial Value)*100 represents the proportion decrease.
= (15/285)*100 represents the percentage decline.
The membership price for summer camps has decreased by 5.26 percent.
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Bri and Annamarie are picking strawberries at two different strawberry farms that charge a flat fee plus a cost per basket picked. The graph shows the total cost for Annamarie based on the number of baskets of strawberries picked.
The equation y = 3.25x + 5.5 shows the total cost for Bri with y representing the cost and x representing the number of baskets picked.
Which statements about the baskets picked by the two girls are true? Select each correct answer.
A) The farm where Bri picks charges less of a flat fee.
B) The farm where Bri picks charges less per basket picked.
C) Annamarie pays $2.75 per basket picked.
D) Bri pays $5.50 per basket picked.
The points on the graph for the amount of strawberries picked by Annamarie are (0, 11), (10, 38.5).
(10, 38.5)
38.5/10 = 3.85
Annamarie pays $3.85 per basket.
y = 3.25x + 5.5
(3.25, 5.5)
The amount of strawberries picked by Bri is (3.25, 5.5).
Bri pays $5.50 per basket.
The farm where Bri chose to pick strawberries charges more for them so A and B are not the answer.
Annamarie pays $3.85 per basket so C is not one of the answers.
The only answer is D) Bri pays $5.50 per basket picked.Answer:
[tex]From \: the \: graph, \: the \: equation \: representing \: the \: number \: of \: strawberries \: picked \: by \: Annamarie \: is \: given \: by: \\ \\ \frac{y - 11}{x - 0} = \frac{38.5 - 11}{10 - 0} \\ \\ \frac{y - 11}{x} = \frac{27.5}{10} = 2.75 \\ \\ y - 11 = 2.75x \\ \\ y = 2.75x + 11 \\ \\ Given that the \: equation \: representing \: the \: number \: of \: strawberries \: picked \: by \: Bri \: is \: given \: by \: y \: = 3.25x + 5.5 \\ \\ From \: the \: \: two \: equations \: we \: can \: deduce \: that : \: \\ \\
The \: farm \: where \: Bri \: picks \: charges \: less \: of \: a \: flat \: fee. \: \\ \\Annamarie \: pays \: $2.75 \: per \: basket \: picked. \: [/tex]
C) Annamarie pays $2.75 per basket picked.I will give brand list
Answer:
5/4
Explanation:
coordinates given (0,0) and (8,10)
How to find unit rate?
use this formula:
(y2-y1)/(x2-x1)
using the formula:
→(10-0)/(8-0)
→ 10/8
→ 5/4
→ 1.25
Answer:
5/4 cm/s
Step-by-step explanation:
The gradient (slope) of the line is equal to the speed of the object.
Gradient = change in y ÷ change in x
Using the two given points (0, 0) and (8, 10):
⇒ speed = (10 - 0) ÷ (8 - 0) = 5/4 cm/s
Each can of paint is 1,000 square inches . what is the fewest number of full cans of paint will maraina need.
Answer:
How many square feet does maraina need to fill though?
please answer as soon as possible!! (50 points)
Answer:
I think its the first one
Step-by-step explanation:
Please help it's for my homework, It's easy I'm just dum...
First, since it's given the angle PRS=98 degrees we can find x.
(3x-8)+(2x+6)=98 we can solve for x
after solving this we find that
x=20
Now we can solve for angle QRS
2x+6 plug in our values and we get
40+6, which equals 46 degrees
What is the length of the line?
hopefully you can see the lines.
Answer:
Depending on what you're looking for: 5 or -5/2
Step-by-step explanation:
If non-function, count the height in which it covers: 5
If function, find slope (rise over run): -5/2
The sum of 3 consecutive odd numbers is 69. Find the numbers. solve the question in step-by-step
The question is related to an arithmetical sequence where common difference is 2.
(a-2) +a + (a+2) =3a=69
a=23
So three odds are
21 23 25
Please due tomorrow!!!!!!
Answer:
B. -94.94
Step-by-step explanation:
Substitute given value into function and evaluate
Answer:
-94.94
Step-by-step explanation:
The answer is -94.94. First you put -4.2 as x, so 23.2*-4.2 which gives you -97.44. Then you do (-97.44)+22.5. Which gives you the answer -94.94.
I need help please, anyone?!! I don’t know what I’m doing, please give explanation to your answer
How many solutions does this equation have?
–16 + 18u = 18u + 17 − 15
Answer:
No solutions
Step-by-step explanation:
Pls i need answer I’m really confused with this question
Answer:
answer choice 2
Step-by-step explanation:
10+4(19)=86
can someone help me with this
Answer:
Statements Justifications
E bisects AI, BC bisects AE, FH bisects EI Given
AE is congruent to EI Definition of Bisector
AD is congruent to DE Definition of Bisector
EG is congruent to GI Definition of Bisector
If AE is congruent to EI, AD is congruent to DE, and EG is congruent to GI, then AD is congruent to DE, EG, and GI, DE is congruent to AD, EG, and GI, EG is congruent to AD, DE, and GI, and GI is congruent to AD, DE, and EG. Therefore, AD is congruent to EG.
This isn't the best answer and probably won't get you a 100, but it shows effort so...
Can you please simplify these expressions in two forms: radical and simplified without exponents?
I don't really understand how fractional exponents work, so an explanation would be appreciated.
27^4/3
36^3/2
(1/8)^2/3
128^5/7
Thank you :)
Answer:
(a.) 27^4/3 = 81, (b.) 36^3/2 = 216, (c.) (1/8)^2/3 = 1/4, (d.) 128^5/7 = 32
Step-by-step explanation:
All these expressions can be converted in square roots.
In order to do this, we can picture the fractional exponents as exponent / index
(a.) So for this first problem, we would have the cube root of [tex]27^{\frac{4}{3} }[/tex] or
[tex]\sqrt[3]{(27)^{4} }[/tex].
We must do the equation inside the radical first (i.e., [tex](27)^{4}[/tex]) to get [tex]\sqrt[3]{531,441}[/tex] = 81
We can follow these same steps for the remaining equations:
(b.) [tex]36^{\frac{3}{2} }[/tex] = [tex]\sqrt{(36)^3}[/tex] = [tex]\sqrt{46,656}[/tex] = 216
(c.) [tex](\frac{1}{8})^\frac{2}{3}[/tex] = [tex]\sqrt[3]{(\frac{1}{8})^{2} }[/tex] = [tex]\sqrt[3]{(\frac{1^2}{8^2}) }[/tex] = [tex]\sqrt[3]{(\frac{1}{64}) }[/tex] = [tex]\frac{1}{4}[/tex]
(d.) [tex]128^{\frac{5}{7} }[/tex] = [tex]\sqrt[7]{(128)^{5} }[/tex] = 32
Zeke and six of his friends are going to a baseball game. Their combined money totals $28.50. At the game, hot dogs cost $1.25 each, hamburgers cost $2.50 each, and sodas cost $0.50 each. Each person buys one soda. They spend all $28.50 on food and soda. Determine how many different combinations, including those combinations containing zero, of hot dogs and hamburgers Zeke and his friends can buy, spending all $28.50. ENTER
1.25x + 2.5y + 0.5z ≤ 28.5
is your inequality
PLEASE HELP ME!! I ALREADY DID THE FIRST ONE BUT IM SO CONFUSED ABOUT THE OTHERS!!!
Answer:
i) 134
ii) Number of bottles sold on Tuesday: [tex]\dfrac{x}{45}[/tex]
iii) Number of bottles sold on Wednesday: [tex]\dfrac{(x-75)}{48}[/tex]
iv) [tex]x=3915[/tex]
Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday
Step-by-step explanation:
i) You need to ensure that the values are both in the same format (either both in dollars, or both in cents).
45 cents = 45/100 dollars = 0.45 dollars
60.30 ÷ 0.45 = 134
ii) both values are in cents, so no need to convert one of them.
Let n be the number of bottles sold.
So 45n = x
Therefore, n = x/45
ii)
Let n be the number of bottles sold.
So 48n = (x - 75)
Therefore, n = [tex]\dfrac{(x-75)}{48}[/tex]
iv)
Number of bottles sold on Tuesday: [tex]\dfrac{x}{45}[/tex]
Number of bottles sold on Wednesday: [tex]\dfrac{(x-75)}{48}[/tex]
If the number of bottles sold on Tuesday was 7 more than those sold on Wednesday:
[tex]\implies \dfrac{x}{45}-7=\dfrac{(x-75)}{48}[/tex]
multiply both sides by 48:
[tex]\implies \dfrac{48x}{45}-336=x-75[/tex]
multiply both sides by 45:
[tex]\implies 48x-15120=45x-3375[/tex]
[tex]\implies 3x=11745[/tex]
[tex]\implies x=3915[/tex]
Therefore, 87 bottles were sold on Tuesday and 80 bottles were sold on Wednesday
The area of a circle is 61.2cm2.
Find the length of the radius rounded to 2 DP.
Answer:
4.41 cm
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
61.2 = pi r^2
Using 3.14 for pi
61.2 / 3.14 = r^2
19.49044586 = r^2
Take the square root of each side
sqrt( 19.49044586) = sqrt(r^2)
4.414798507 = r
To 2 decimal places
4.41 = r
Please help me with number 3
Answer:
y=x(squared) -6x+5
Step-by-step explanation:
22 people share 333 chocolate bars equally. Each chocolate bar is the same size.
About how much chocolate does each person get?
Answer:
15.31
Step-by-step explanation:
Once again, If you divide 333 chocolates by 22 people you will have 15.31 chocolates per person
Answer:
For the dude above or below me he ment 3 and 2 not 22 and 333 he copy and pasted it
Step-by-step explanation:
Use given triangle to fill in the blank.
Answer:
The choice first
[tex] \tan(x) = \frac{12}{5} [/tex]
Fourteen equals fifteen decreased
by an unknown number.
Answer:
14 = 15 - x
Step-by-step explanation:
14 = 15 - x
14 = 15 -1
14 = 14
Hope this helps!
I don't know what I'm suppose to do with the minus .Solve the inequality: 10 ≤ 7 - x
Answer:
Step-by-step explanation:
10 ≤ 7 - x
Add x to both sides
10 +x ≤ 7 -x + x
10 +x ≤ 7
Subtract 10 from both sides
10 - 10 + x≤ 7 - 10
x ≤ -3
x = { ....... -4, -3}
7. Which expression is equivalent to -2v + (-4) +8+(-3)?
A.-5v
b. 7v
c. -6v+5
d. -5v+4
Answer:
the answer would be answer d.5v+4