Answer:
Median
Order the data values from smallest to largest:
55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61, 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67
As there is an even number of values, the median is the mean of the middle two values ⇒ Median = 61
Quartiles
55, 57, 57, 57, 58, 58, 58, 59, 59, 60, 61, 61 || 61, 62, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67
The first quartile is the median of the data points to the left of the median ⇒ first quartile = 58
The third quartile is the median of the data points to the right of the median ⇒ first quartile = 63.5
Five-number summary
Minimum: 55First quartile Q1: 58Median Q2: 61Third quartile Q3: 63.5Maximum: 67Draw a box from the first quartile (58) to the third quartile (63.5)
Add the median (61) as a the vertical line through the box.
The whiskers are horizontal lines from each quartile to the minimum (55) and maximum values (67).
Solve for x. Round to nearest tenth
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU BRAINLIST ANSWER
Image above
Answer:
x ≈ 4.4
Step-by-step explanation:
using the tangent ratio in the right triangle
tan43° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{UV}{VW}[/tex] = [tex]\frac{4.1}{x}[/tex] ( multiply both sides by x )
x × tan43° = 4.1 ( divide both sides by tan43° )
x = [tex]\frac{4.1}{tan43}[/tex] ≈ 4.4 ( to the nearest tenth )
The value of x, Round to nearest tenth is,
⇒ x = 4.4 units
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A triangle is shown in image.
Now, We can formulate;
tan 43° = Opposite / Base
⇒ tan 43° = 4.1 / x
⇒ 0.932 = 4.1 / x
⇒ x = 4.1 / 0.932
⇒ x = 4.39
⇒ x = 4.4 units
Thus, The value of x, Round to nearest tenth is,
⇒ x = 4.4 units
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Slope of (1,-4) and (0,-5)
Answer:
Slope is 1
Step-by-step explanation:
use slope formula: m= [tex]\frac{y2-y1}{x2-x1}[/tex]
m= [tex]\frac{-5+4}{0-1}[/tex]
[tex]\frac{-1}{-1}=1[/tex]
m=1
Hope this helps!
If not, I am sorry.
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of
[tex]\star\mathrm{(1,-4)}[/tex]
[tex]\star\mathrm{(0,-5)}[/tex].
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Use the slope formula.Here's the slope formula:
[tex]\star\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
Input the values, which are:
y2=-5
y1=-4
x2=0
x1=1
[tex]\star\mathrm{\cfrac{-5-(-4)}{0-1}}[/tex]
Simplify!
[tex]\star\mathrm{\cfrac{-5+4}{-1}}[/tex]
[tex]\star\mathrm{\cfrac{-1}{-1}}[/tex]
[tex]\star\boxed{\mathrm{1}}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
#StudyWithBrainly
~Just a smiley person helping fellow students :)
[tex]\bf{\overline{\underline{\overline{\underline{Maribel\:Peri}}}}[/tex]
If you walk 6 blocks east, 2 blocks north, 3 blocks west and 4 blocks south, then what is the total distance you travel?
Answer:
6 + 2 + 3 + 4 = 15
so 15 blocks
a block is about 0.05 miles
so 15 blocks in miles is 0.75 miles
help please i need answers fast if you help or try to help tysm *hearts*
Answer:
C. 3rd one Fraction 10/24
Step-by-step explanation:
3/4 - 2/6 = 0.41 or = 10/24 or it could be equal to 5/12 are 10/24, 15/36, 20/48 and 25/60 or as Decimal 0.41
Step-by-step explanation:
Hope This Helped
1/3x + 1 = -2 PLEASE HELP
Answer:
x = -9
Step-by-step explanation:
1/3x + 1 = -2
1/3x = -2-1
1/3x= -3
x = -3 * 3
x = -9
Hey there!
1/3x + 1 = -2
SUBTRACT 1 to BOTH SIDES
1/3x + 1 - 1 = -2 - 1
SIMPLIFY IT!
1/3x = -2 - 1
1/3x = -3
MULTIPLY 3 to BOTH SIDES
1/3x * -3 = -3 * 3
SIMPLIFY IT!
x = -3 * 3
x = -9
Therefore, your answer should be:
x = -9
Good luck on your assignment & enjoy day!
~Amphitrite1040:)
What is the end behavior of the function f(x)=−1/4x^2?
Answer:
As x approaches infinity, f(x) approaches negative infinity
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation:
Because the function goes in the downward direction on both sides, it would be negative infinity for both.
It's basically saying, as the x values go towards the positives, the y values go towards the negatives
and as the x values go towards the negatives, the y values go towards the negatives.
Can anyone help? 80 points!
Answer:
D) [tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Step-by-step explanation:
Given expression:[tex](8x^4y^5)^{\frac{2}{3}[/tex]Simplify in steps, using below properties of exponents:
[tex]a^ba^c= a^{b+c}[/tex] Product of Powers Property[tex](a^b)^c=a^{bc}[/tex] Power of Power PropertySolution:[tex](8x^4y^5)^{\frac{2}{3} =[/tex][tex](2^3x^4y^5)^{\frac{2}{3} =[/tex][tex]2^{\frac{3*2}{3}} x^{\frac{4*2}{3}} y^{\frac{5*2}{3}} =[/tex][tex]2^2x^{\frac{8}{3}}y^{\frac{10}{3} =[/tex][tex]4x^{2\frac{2}{3}}y^{3{\frac{1}{3} =[/tex][tex]4x^2x^{\frac{2}{3}} y^3y^{\frac{1}{3}} =[/tex][tex]4x^2y^3(x^2y)^{\frac{1}{3}}=[/tex][tex]4x^2y^3\sqrt[3]{x^2y}[/tex]Correct choice is D
Answer:
[tex]4x^2y^3\sqrt[3]{x^2y}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(8x^4y^5\right)^{\frac{2}{3}}[/tex]
Rewrite 4 as (3 + 1) and 5 as (3 + 2):
[tex]\implies \left(8x^{(3+1)}y^{(3+2)}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies \left(8x^3xy^3y^2}\right)^{\frac{2}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 8^{\left(\frac{2}{3}\right)}x^{\left(3 \times\frac{2}{3}\right)}x^{\left(\frac{2}{3}\right)}y^{\left(3 \times \frac{2}{3}\right)}y^{\left(2 \times \frac{2}{3}\right)}}[/tex]
[tex]\implies 4x^2x^{\frac{2}{3}}y^2y^{\frac{4}{3}}[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\frac{4}{3}}[/tex]
Rewrite 4/3 as 1 + 1/3:
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^{\left(1+\frac{1}{3}\right)}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c:[/tex]
[tex]\implies 4x^2y^2x^{\frac{2}{3}}y^1y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^2y^1x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 4x^2y^{(2+1)}x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\implies 4x^2y^3x^{\frac{2}{3}}y^{\frac{1}{3}}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{bc}=(a^b)^c:[/tex]
[tex]\implies 4x^2y^3\left(x^2\right)^{\frac{1}{3}}y^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^b \cdot c^b=ac^b:[/tex]
[tex]\implies 4x^2y^3\left(x^2y\right)^{\frac{1}{3}[/tex]
[tex]\textsf{Apply exponent rule} \quad a^{\frac{1}{n}}=\sqrt[n]{a}:[/tex]
[tex]\implies 4x^2y^3\sqrt[3]{x^2y}[/tex]
Find the surface area of the prism //Please answer//
Answer:
358in²
Step-by-step explanation:
9 × 11 = Area of Face One = 99in²
99 × 2 = Face One + Face One on the opposite side = 198in²
4 × 11 = Area of Face Two = 44in²
44 × 2 = Face Two + Face Two on the opposite side = 88in²
9 × 4 = Area of Face Three = 36in²
36 × 2 = Area of Face Three + Face Three on the opposite side = 72in²
Total Surface Area = 198 + 88 + 72 = 358in²
There are 1,486 souvenir paperweights that need to be packed in boxes. Each box will hold 16 paperweights. How many boxes will be needed?
Answer: 93 boxes will be needed
Step-by-step explanation:
If each box holds 16 paperweights, and 1,486 need to be packaged, we will divide 1,486 by 16.
1,486 / 16 = 92.875
We will assume you cannot have 0.875 of a box, so we will round up to:
93 boxes will be needed
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anyone know the answer?
Answer:
I think it could be A
Step-by-step explanation:
Not 100% sure tho
What does a negative AH₁ for a molecule mean?
Answer: C
Step-by-step explanation: I know it trust me
Rachael took her dogs, Rico, Mocha, and Biscuit, to the vet. Rico weighed 45.7 kilograms, Mocha weighed 15.5 kilograms, and Biscuit weighed 22.1 kilograms. How much more did Rico weigh than Biscuit?
Subtraction is a mathematical operation that reflects the removal of things from a collection. The amount by which Rico weighs more than Biscuit is 23.6 kilograms.
What is subtraction?Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.
Given Rico weighed 45.7 kilograms, Mocha weighed 15.5 kilograms, and Biscuit weighed 22.1 kilograms. Therefore, the amount by which Rico weighs more than Biscuit is,
Difference = 45.7 kgs - 22.1 kgs = 23.6 kgs
Hence, the amount by which Rico weighs more than Biscuit is 23.6 kilograms.
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Which expression is equivalent to 12b + 3a? choices: a (a + b) x 12 b 3 (4b + a) c ab x 12 x 3 d (12 x 3) + (b x a)
Answer:
The answer to the equation is B.
Step-by-step explanation:
Answer:
i took the test and its B
Step-by-step explanation:
Give the prime factorization of 28.
B
ED
E D
B
C
B
m
A
DE
Which rule describes the composition of
transformations that maps figure ABCDE to figure
A"B"CD"E"?
ORC.900 orm
OroRC.900
ORc1800 or
OroRC.1800
Answer: [tex]R_{C, 180^{\circ}} \circ r_{m}[/tex]
Step-by-step explanation:
The sequence is a reflection over line m followed by a rotation 180 degrees about point C.
Among all the options give the last option that is,
⇒ r m0 Rc180° , is the right answer.
What is Translation?A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.
Now, In the given figure ABCDE is transformed to figure A”B”C”D”E.
Hence, When a figure is reflected along a line the reflected image is at the same distance to the line as the original figure was.
The figure ABCDE is first reflected through the line m to get the figure A'B'C'D'E'.
When a figure is rotated by 180 degrees the x and y coordinates change its place and y sign is reversed.
A'B'C'D'E' is rotated by 180 degrees to come to figure A"B"C"D"E".
Hence, Among all the options give the last option that is,
⇒ r m0 Rc180° , is the right answer.
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Given the table, write an equation in slope-intercept form.
Answer:
If you plot points accordingly to the points on the table, Option A. is correct.
Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
So, the probability of getting two yellows is 1/3
Do you agree or disagree? Explain your thinking.
Answer:
I disagree.
Step-by-step explanation:
The reasoning may be wrong but I believe it is disagree.
I am going to keep it simple.
On the spinner there are 4 options, 3 for red and 1 for yellow.
Therefore, we have a 1/4 chance to get a yellow once.
If we get a yellow again, it is another. 1/4 chance.
1/4 x 1/4 is 1/16, considerably smaller than 1/3.
Answer:
From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Therefore,
[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]
[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]
Multiplication Rule for Independent Events
For independent events A and B:
[tex]\sf P(A\:and\:B)=P(A) \times P(B)[/tex]Therefore,
[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]
ConclusionAri is incorrect. The spinner is divided into 4 parts, where only one part is yellow. Therefore, the probability of spinning a yellow is 1/4. As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows. So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.
The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 4 feet tall and 6 feet wide
The Pythagorean theorem also known as the Pythagoras' theorem, is the basic relationship between the three sides of a right triangle. The length of the diagonal of the screen is 7.211 ft.
What is Pythagoras theorem?The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.
Given the diagonal is 4 feet tall and 6 feet wide. Therefore, using the Pythagorean theorem, The length of the diagonal of the screen can be written as,
[tex]\text{Length of the diagonal} = \sqrt{4^2+6^2} = \sqrt{52} = 7.2111\rm\ ft[/tex]
Hence, the length of the diagonal of the screen is 7.211 ft.
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Which of the following is equal to 9•4
please help if u know :D
Answer:
B.
Step-by-step explanation:
We can start by dividing 3.5 and 0.75.
3.5/0.75 is 4.67.
Now, we multiply 4.67 by 1 since we are finding how much she walks in 1 hour.
1*4.67 is 4.67.
Can someone help me with this question ?
Answer:
it is median
Step-by-step explanation:
because it have number in alphabetic order
Please help , giving brainliest .
Answer:
363.22
Step-by-step explanation:
Method 1:
You could find the whole figure surface area than divided by 1/2
Method 2: (the one I'm going to personally be doing)
Break the figure into two rectangular figures
Formula for surface area of rectangular prism:
A = 2(width x length + height x length + height x width)
Figure 1:
A = 2(width x length + height x length + height x width)
height = 3.8 yd
length = 10.1 yd
width = 4.3 yd
A = 2((4.3) x (10.1) + (3.8) x (10.1) + (3.8) x (4.3))
A = 2(98.15)
A = 196.3
Figure 2:
A = 2(width x length + height x length + height x width)
height = 8.4 yd
length = 10.1 yd
width = 2 yd
A = 2((2) x (10.1) + (8.4) x (10.1) + (8.4) x (2))
A = 2(121.84)
A = 243.68
There is overlapping surface area that shouldnt be include so we need to subtract it...
For one face of figure 1
3.8 x 10.1 = 38.38
Total:
Figure 1 + Figure 2 - 2(one face)
196.3 - 38.38 = 157.92
243.68 - 38.38 = 205.3
205.3 + 157.92 = 363.22
A population of aardvarks is growing at a rate of 2% per year. This year there are 714 aardvarks. How many aardvarks were there last year
A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let y represent the amount of aardvarks after x years.
It can be represented by the equation:
y = a(1.02)ˣ
If this year there are 714 aardvarks, the amount in the last year is:
714 = a(1.02¹)
a = 700
A population of aardvarks is growing at a rate of 2% per year, there are 714 aardvarks this year and 700 aardvarks were there last year.
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Please help me this is my last question this one is worth big points for me
Answer: your gonna add 3,000+ 5,000 then you will add test answer to 157.50 then you’ll put the answer for 3,000+5,000 then you’ll put that in the first box then you’ll add that number two 157.50
Step-by-step explanation:
Hope this helps
:3 have an amazing day or a beautiful day:)
Write this percentage as a fraction in its simplest form. 96 %
(pls)
Answer:
24/25
Step-by-step explanation:
96%=0.96. 96/100=48/50=24/25
You are a pharmacy technician at costco. you are responsible for filling prescriptions for patients
that are ordered by the doctors.
you are looking over a pharmacy order. a doctor ordered 180 ml of prednisone 2 mg/1ml. you
checked, and do not have 180 ml of prednisone 2 mg/1ml. at the moment, you only have 10 mg
tablets in stock and cherry syrup.
you want to make this order for the patient, and in order to do this, you need to calculate how
many 10 mg tablets you will need to mix cherry syrup, in order to create 180 ml of 2mg/1ml.
now, just to make sure you understand the metric system well, can you describe what ml
measures and how it compares to the base unit? what does mg compare and how does it
compare to the base unit?
Answer:
36 tablets
Step-by-step explanation:
We are asked to find the number of tablets of a particular mass that are required to give a specific mass-to-volume ratio for a given volume of solution. The units used are all SI (metric) units.
__
metric unitsThe International System of units (abbreviated SI in all languages) defines seven base units and a number of derived units. The base unit for length is the meter. For mass, the base unit is the kilogram. The derived unit for volume is the liter, which is 1/1000 of a cubic meter.
Currently, there are 20 prefixes defined that signify powers of 10 ranging from 10^-24 to 10^24. These are used in front of the abbreviations for units. Useful here are the prefixes kilo- and milli-, standing for 10^3 and 10^-3, respectively. The relevant abbreviations are ...
m - meterg - graml or L - liter (often L is used in order to avoid confusion)k - kilom - milliIn this problem, the volume of syrup used is 180 ml, or 180×10^-3 liters. The mass of medicine in one tablet is 10 mg, or 10×10^-3 grams.
__
mass of medicineWe desire a solution with a concentration of 2 mg/ml. We want 180 ml of the solution, so the mass of medicine that needs to be incorporated is ...
(180 ml)×(2 mg/ml) = 360 mg
number of tablets
Each tablet supplies 10 mg of medicine. To get 360 mg of medicine, we need n tablets, such that ...
n(10 mg) = 360 mg
n = (360 mg)/(10 mg) = 36 . . . . tablets
36 tablets of 10 mg each are needed to mix with 180 ml of syrup to give 2 mg/ml.
What is the completely factored form of f(x)=x3+5x2+16x+80 ?
Answer:
The complete factored form of the given [tex]f(x)[/tex] is [tex](x+5)(x^2+16)[/tex].
Step-by-step explanation:
Answer:
f(x)=x*3+5x+2+16x+80 y=x*3+5x*2+16x+80 x=y*3+5y*2+16y+80=8 3y+10y+16y+80=x29y+80=x29y=x-80y=1/29x-80/29 f(x)-1=1/29x-80/29
Which of the following is not a way to represent the solution of the inequality 5(x + 2) 2 7x + 2(x - 1)?
The following way is a way which can not be used to represent the solution of 5(x + 2) ≥ 7x + 2(x - 1) is "A number line with a closed circle on 3 and shading to the right".
How to solve inequality?5(x + 2) ≥ 7x + 2(x - 1)
5x + 10 ≥ 7x + 2x - 2
5x + 10 ≥ 9x - 2
collect like terms5x - 9x ≥ -2 - 10
-4x ≥ - 12
x ≤ -12/-4
x ≤ 3
Therefore, the correct answer is "A number line with a closed circle on 3 and shading to the right".
The complete question:
Which of the following is not a way to represent the solution of the inequality 5(x + 2) greater than or equal to 7x + 2(x − 1)? . A number line with a closed circle on 3 and shading to the right. . A number line with a closed circle on 3 and shading to the left. . 3 greater than or equal to x . x less than or greater to 3
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Using the Vertical Line Test
Which graph does not represent a function?
Using the Vertical Line Test, the graph does not represent a function is ellipse, the third graph.
What is vertical line test?The vertical line test is a graphical method of determining whether a curve in the plane represents the graph of a function. It is done by visually examining the number of intersections of the curve with vertical lines.
Any vertical line in the x y plane must intersect the graph of a function at most once.
In the given graphs, the graph of a function intersects the y axis twice. So, it is not a function.
From the given graphs, the third graph which is of ellipse crosses the vertical line twice.
Thus, the graph does not represent a function is ellipse.
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As the sample size increases, the margin of error _____.
As the sample size increases, the margin of error decreases.
What is margin of error?A margin of error is known to be a statistical measurement that states the difference between apparent and projected results in a random sample survey.
From the formula:
MOE = z × √σ²/n
Where
σ = standard deviation
z = quantile
n = sample size
MOE = margin of error
From the formula, sample size is inversely proportional to the margin of error.
Hence, as the sample size increases, the margin of error decreases.
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