These dot plots show the ages (in years) for a sample of two types
of fish.
Sharks
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0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Koi
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0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Age (in years)
Answers
Complete Question:
These dot plots show the ages (in years) for a sample of two types of fish.
(Check attachment for the dot plots)
What are the differences between the centers and the spreads of these distributions?
Select two choices: one for the centers and one for the spreads.
A. Centers: The sharks have a lower median age than the koi
B. Spreads: The ages of the koi are more spread out.
C. Centers: The sharks have a greater median age than the koi.
D. Spreads: The ages of the sharks are more spread out
Answer:
A. Centers: The sharks have a lower median age than the koi
B. Spreads: The ages of the koi are more spread out.
Step-by-step Explanation:
Centers of a given data set can be defined by the median of the data set. Also, for spreads, we can virtually ascertain how spread the data are on the dot plot or figure out how large the range value is.
==>Centers of both distributions.
*The median of the data distribution for sharks is between the 7th and 8th dot representing the values of 20. The median is the average of the 7th and 8th value = (20+20) ÷ 2 = 20
*The median value of koi is the 14th value represented by the 14th dot on the dot plot = 40
Therefore, for centers, we can conclude that the sharks have a lower median age than the koi.
==>Spreads of both distributions:
Virtually examining both distributions, we would see that the data points represented by dots on the dot plot for koi are more spread out compared to those of sharks.
The range for sharks = 30 - 10 = 20
The range for koi = 70 - 25 = 45
We can conclude that, the ages of the koi are more spread out.
Related Questions
Expand and simplify (x-3)(x+5)
Answers
Answer:
x^2+2x-15
Step-by-step explanation:
x^2+5x-3x-15
=x^2+2x-15
Answer:
x² + 2x -15
Step-by-step explanation:
by using FOIL method (see attached for reference),
(x-3)(x+5)
= (x)(x) + (x)(5) + (-3)(x) + (-3)(5)
= x² + 5x - 3x -15
= x² + 2x -15
I need to find a b and c please help
Answers
Answer: a=4, b=16, c=12
Step-by-step explanation:
Use the intercept form: a(x - p)(x - q) where p & q are the intercepts.
Given: p = -3, q = -1, and y-intercept (c) = 12
a[x - (-3)][x - (-1)]
= a(x + 3)(x + 1)
= a(x² + 4x + 3)
= ax² + 4ax + 3a
y-intercept = 12
3a = 12
a = 4
Substitute a = 4
4x² + 4(4)x + 3(4)
= 4x² + 16x + 12
Please answer it in two minutes
Answers
Answer: x = 25
Step-by-step explanation:
KI is the midsegment of GH so GH = 2KI
Given: GH = x + 25, KI = x
x + 25 = 2(x)
x + 25 = 2x
25 = x
Which of the following functions shows the quadratic parent function, F(x) =
x2, shifted left?
Answers
Answer: choice B
Step-by-step explanation:
just took the quiz
omm its B. G(x)=(x+8)^2
just took the test
The graph of y=4x[tex]x^{2}[/tex]-4x-1 is shown
Answers
Answer:
i.) (-0.25, 0), (1.25, 0)
ii.) (0.5, 2), (1.5, 2)
Step-by-step explanation:
For i, it is asking for the roots of the quadratic, or where the graph crosses the x-axis.
For ii, it is asking for the x-values when y = 2.
In the diagram, what is the perimeter of polygon $PQRST$?
Answers
Answer:
24
Step-by-step explanation:
PQ is equal to QR, therefore QR=3
Draw a perpendicular line down from R to line TS to form a triangle and since PT=6, the height of the right angle triangle would be 3.
The base of the right triangle would be 7-3=4. Using pytag. theorem [tex]\sqrt{4^{2}+3^2 }=5[/tex]
Therefore RS=5.
So now we can sum up everything: PQ+PT+TS+RS+QR= 3+6+7+5+3=24
A 13.5-meter ladder leans against a brick wall and the ladder makes a 75∘ with the wall. The distance d the ladder goes up the wall is -- meters. Round your answer to the nearest tenth.
Answers
Answer:
3.5 m
Step-by-step explanation:
Use Pythagorean theorem to find the distance (d) the distance goes up the wall = adjacent to the angle 75° that is formed with the wall.
Length of ladder = the hypothenuse = 13.5 m
Thus, we would use:
Cos75 = adjacent/hypothenuse
Cos 75 = d/13.5
Multiply both sides by 13.5
13.5*cos(75) = d
13.5*0.2588 = d
3.4938 = d
d ≈ 3.5 m (nearest tenth)
Which expressions are equivalent to 10 over 10 3/4?
Answers
Answer:
There are no choices, but [tex]\frac{10}{10.75}[/tex] can be changes in the following ways: multiplying the numerator and the denominator by the same amount, or dividing the numerator and denominator by the same amount.
Hope it helps <3
Answer:
40/43
Step-by-step explanation:
The fraction
10
-----------------
10 3/4
can be simplified by converting 10 3/4 to the improper fraction 43/4:
10 10 40
----------------- = _______ = ----------
10 3/4 43/4 43
Next time, please share any answer choices that are given to you. Thank you.
Five times sum of a number, x,and nine is ten. What is the number?
Answers
Answer:
[tex]-7[/tex]
Step-by-step explanation:
[tex]5(x+9) = 10[/tex]
[tex]5x+45=10[/tex]
[tex]5x = -35[/tex]
[tex]x=-7[/tex]
Hope this helps.
Answer:
-7
Step-by-step explanation:
5(x + 9) = 10
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS =
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
...and is your order of operation.
First, divide 5 from both sides:
(5(x + 9))/5 = (10)/5
x + 9 = 10/5
x + 9 = 2
Next, isolate the variable x, by subtracting 9 from both sides:
x + 9 (-9) = 2 (-9)
x = 2 - 9
x = -7
x = -7 is your answer.
~
Which expressions are equivalent to 7(-3/4 times -4
Answers
Answer:
147
Step-by-step explanation:
7(-3/4 times -4 should most likely be written with a " ) " at the end:
7(-3/4 times -4).
Symbolically, this comes out to
7 -3 -4
7( ----------- )*(------ * --------- ) = 49(3) = 147
1 4 1
Note: If you are given possible answer choices, please share them. Thanks
Express ⁴/100 as a decimal fraction
Answers
Answer:
To do that you must divide 4 by 100
Step-by-step explanation:
4 divided by 100 is 0.04
Answer:
4/100
Run two decimal places forward
that's
0.04
Hope this helps you
The graph of g(x) is the result of translating the graph of f(x) = 3* six units to the right. What is the equation
g(x) = 3*-6
g(x) = 3*+6
g(x) = 3X-6
g(x) = 3* + 6
Answers
Answer:
Step-by-step explanation:
Pls help me with my question roo
The graph of g(x) is g(x) = [tex]3^{x-6}[/tex]
What is translation?A translation is a rigid transformation because it does not change the size or shape of the original figure. Translations are the simplest transformation in geometry and are often the first step in performing other transformations on a figure or shape.
Given that, graph of g(x) is the result of translating the graph of f(x) = 3ˣ, 6 units to the right.
Translation the graph of the function y = f(x) a units to the right gives the function y = f(x-a)
So, here, f(x) = 3ˣ will be transformed to g(x) = [tex]3^{x-6}[/tex]
Hence, the graph of g(x) is g(x) = [tex]3^{x-6}[/tex]
Learn more about translation, click;
https://brainly.com/question/12463306
#SPJ5
Helppp!!!! please!!!
Answers
Answer:
A
Step-by-step explanation:
I promise I will mark as brainiest How many minutes is it before 12 noon, if 48 minutes ago it was twice as many minutes past 9 a.m.?
Answers
Answer:
You first need to convert everything to minutes:
12 noon = 12 x 60 = 720 minutes
9 am = 9 x 60 = 540 minutes
Let x = number of minutes before noon
The time now is 12 noon -x = 720 -x minutes
48 minutes ago it was 720-x-48
720 -x - 48 = 540 + 2x
720-48-540 = 3x
x = 44 minutes
It is 44 minutes before noon, or 11:16 am
Answer:
9:00 am -------------------- 12:00pm ( There are 180 minutes between them)
Go 48 minutes back (132 Minutes between them)
That time is divided by 2
(4x minutes past 9:00 and x minutes left to reach 12:00)
132/3 = 44 minutes are left
A. 139.3m^2 B. 39.3m^2 C. 59.3^2 D.257.1m^2
Answers
Answer:
139.3 m²
Step-by-step explanation:
The figure is composed of a square and a semi circle.
area of square = 10² = 100 m²
area of semi circle = 0.5πr² = 0.5π × 5² = 0.5π × 25 = 12.5π ≈ 39.3 m²
Total area = 100 + 39.3 = 139.3 m²
Create a statement or a situation based on the given equation
a)
[tex]3x - 22 = \frac{x}{4} [/tex]
where x is an integer
Answers
Answer:
[tex]3x - 22 = \frac{x}{4} [/tex]
When twenty two is subtracted from a number multiplied by three the result is the same as the number divided by 4.
Hope this helps you
Answer:
here is the answer
Step-by-step explanation:
statement- the result obtained when 22 is subtracted from 3 times of a number is one-fourth of the number.
situation- rahul sees the price of a toy he wants to buy. after two years he comes to the shop again to buy the product. he notices that the price has become thrice the original. the shopkeeper agrees to reduce an amount of 22 rupees and he pays one fourth of the original price to the shopkeeper and buys the producet. find the original price of the toy.
Hi! I'm just a bit confused on the vocabulary. What should be the null hypothesis? Thanks in advance!
A large company is being sued for gender discrimination because 20% of newly hired candidates are women when 40% of all applicants were women. You plan to use hypothesis testing to determine whether there is significant evidence that the company's hiring practices are discriminatory.
State the null and alternative hypotheses for the significance test.
Answers
Answer:
null hypothesis: 20% of the newly hired candidates are women.
alternative hypothesis: out of 100% of the workers , only 40% are women and you 60% are male.
The null hypothesis = 20% of candidates are females who applied.
The alternative hypothesis is that only 20% of this store is female, 80% is male.
Hope it helps!
A shark is 80 feet below the surface of the water. It swims up and jumps out of the water to a height of 15 feet above the surface. Find the vertical distance the shark travels.
Answers
Answer:
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Step-by-step explanation:
Given;
Initial position y1= 80 ft below the surface of water = -80ft
Final Position y2 = 15 ft above the surface = +15ft
The vertical distance travelled by the shark is;
∆y = y2 - y1 = 15 - (-80) ft
∆y = 15 +80 ft
∆y = 95 ft
the vertical distance the shark travels is 95 ft
Consider the quadratic function f(x) = x2 – 5x + 6.
What are the values of the coefficients and constant in the function?
A=
b =
C=
Answers
Hey there! :)
Answer:
a = 1
b = -5
c = 6.
Step-by-step explanation:
Recall that in standard form, the coefficients of a quadratic equation are:
f(x)= ax² + bx + c
In the given equation, we can identity the coefficients:
f(x) = (1)x² - 5x + 6
a = 1
b = -5
c = 6.
someone please help me i've been stuck forever!
Answers
Answer:
11.4
Step-by-step explanation:
Proportions.
AB/ED=BC/DF
x/3.8 = 15/5
x=11.4
PWAESE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
In the given figure, LMNO and GHJK are rectangles where GH = 1/2 LM and HJ = 1/2 MN. What fraction of the region is bounded by LMNO that is not shaded? (figure not drawn to scale)
A. 1/4
B. 1/3
C. 1/2
D. 3/4
Answers
Answer:
3/4
Step-by-step explanation:
To answer this question we must first calculate the area of GHJK:
A= GH*HJ A= (LM/2)* (MN/2) A= LM*MN/4 LM/MN is the area of LMNO So the area of LMNO is 4 times the area of GHJK A is the area of LMNO and S the area of GHJK S= A/4 A-S= A-A/4 = 3A/4 so the area that is not shaded is 3/4An open can of oil is accidentally dropped into a lake; assume the oil spreads over the surface as a circular disk of uniform thickness whose radius increases steadily at the rate 10 cm/sec. At the moment when the radius is 1 meter, the thickness of the oil slick is decreasing at the rate 4 mm/sec; how fast is it decreasing when the radius is 2 meters? (Watch the units!)
Answers
Answer:
−0.0005 m/sec.
Step-by-step explanation:
Let us denote the volume of the can as V
let us denote the radius of the circular disc in lake as r
Let us denote the thickness of the circular disc as h
But we know the volume of the can as πr^2h then we can calculate How fast it is decreasing when the radius is 2 m
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION
Help with the second question I am utterly confused! Please explian and I will give vrai lies y ASAP with 18 points
Answers
Answer:
See attached table
Step-by-step explanation:
Given base b,
the required formulas are:
Area of base = b^2
height: solve for h in 2b^2+4*bh = S =54
where S is the surface of 54
Substitute and solve for h,
h = (S - 2b^2)/(4b) = (54-2b^2)/(4b) = (27-b^2)/(2b)
The volume is equal to base area times height, or
V = b^2(h)
The completed table is attached.
Please help me with this! Be very grateful.
Answers
Answer:
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Step-by-step explanation:
Total surface area: 36
Ratio is 2:1
So, 2x + 1x = 36
3x=36
x=36/3
x=12
2*12=24
1*12=12
So areas are 24 and 12 respectively
Now, we can say that the sides of the square will be same, 6 cm
6*6=36
so the length of both rectangles will be 6
Hence we can divide each area by 6 and find the breadth.
Length of A=6
Breadth of A=24/6=4
Length of B=6
Breadth of B=12/6=2
Stay safe and stay cool
Hope it helps you.
MARK AS BRAINLIEST PLEASE
The sum of two numbers is 30. If we double the larger number, and subtract three times the smaller number, the result is 5. What is the positive difference between the two numbers?
Answers
Answer:
8 is the difference, and 19 and 11 are the numbers. Hope this helped!
Answer: The difference is 8.
Step-by-step explanation:
We will let l represent the larger number s represent the smaller number.
so we know that L + S =30
Also 2L - 3S = 5 shows the relationship between the numbers.
Now we have two equations.
L + S =30
2L - 3S = 5 solve using any method.
L + S =30 solve for L and substitute it into the second equation.
L + S = 30
-S -S
L = 30 -S
2(30-s) - 3s = 5 Distribute
60 - 2s - 3s = 5 combine like terms
60 -5s = 5
-60 -60
-5s = -55
s = 11
We know the smaller number is 11 so to find the larger number we will subtract 11 from 30.
30 -11 = 19
The larger number is 19
so To find the difference we will subtract 11 from 19.
19 -11 = 8
what is the solution to this equation? 4x+x-15+3-8=13
Answers
Answer:
x = 33/5
Step-by-step explanation:
4x+x-15+3-8=13
Combine like terms
5x -20 = 13
Add 20 to each side
5x-20+20 = 13+20
5x =33
Divide by 5
5x/5 = 33/5
x = 33/5
24) The sum of Sh.51000 was shared among three partners; Amos, John and peter such that the ratio
of Amos : John = 4:3 while John: Peter = 2:1. Calculate the amount received by Peter. (3 marks)
Answers
Answer:
Sh. 9000
Step-by-step explanation:
John : Peter = 2 : 1
John/peter = 2/1
John = 2 Peter.... (1)
Amos : John = 4:3
Amos/John = 4/3
Amos = 4/3 John.. (2)
From (1) & (2)
Amos = 4/3 * 2 Peter = 8/3 Peter.... (3)
Since,
Amos + John + Peter = 51000
Therefore,
8/3 Peter + 2peter + Peter = 51000
(8+6+3)/3 *Peter = 51000
17/3 * Peter = 51000
Peter = 51000 * 3/17
Peter = 3000 * 3
Peter = 9000
Hence, amount received by Peter is Sh. 9000.
A scalene triangle has the lengths 6, 11, and 12. Keyla uses the law of cosines to find the measure of the largest angle. Complete her work and find the measure of angle Y to the nearest degree. 1. 122 = 112 + 62 − 2(11)(6)cos(Y) 2. 144 = 121 + 36 − (132)cos(Y) 3. 144 = 157 − (132)cos(Y) 4. −13 = −(132)cos(Y)
Answers
Answer:
[tex]Y\approx 84^\circ $(to the nearest angle)[/tex]
Step-by-step explanation:
The lengths of the sides of the scalene triangle are 6, 11, and 12.
We want to use the law of cosines to find the largest angle.
Note that the largest angle is always opposite the largest side.
Therefore:
[tex]1. 12^2 = 11^2 + 6^2-2(11)(6)\cos(Y) \\\\2. 144 = 121 + 36-(132)\cos(Y) \\\\3. 144 = 157 - (132)\cos(Y) \\\\4. -13 = -(132)\cos(Y)\\\\\\5. \cos(Y) = \dfrac{-13}{-132} \\\\6. Y = \arccos \left ( \dfrac{13}{132}\right)\\\\7. Y=84.35^\circ\\\\8. Y\approx 84^\circ $(to the nearest angle)[/tex]
The largest angle is 84 degrees to the nearest angle.
YOO I NEED THIS RIGHT NOW!!
What is the difference of
[tex]( \frac{3}{4} x - \frac{2}{3} ) - ( - \frac{5}{6} + 2x)[/tex]
?
[tex] - \frac{5}{4} x + \frac{1}{6} [/tex]
[tex] - \frac{5}{4} x - \frac{1}{6} [/tex]
[tex] \frac{11}{4} x + \frac{1}{6} [/tex]
[tex] \frac{11}{4} x - \frac{1}{6} [/tex]
Answers
Answer:
The first option: -5/4x + 1/6.
Step-by-step explanation:
(3/4x - 2/3) - (-5/6 + 2x)
= (3/4x - 2/3) + 5/6 - 2x
= 3/4x - 2x - 2/3 + 5/6
= 3/4x - 8/4x - 4/6 + 5/6
= -5/4x + 1/6
So, the first option: -5/4x + 1/6.
Hope this helps!
When an object is removed from a furnace and placed in an environment with a constant temperature of 70°F, its core temperature is 1500°F. One hour after it is removed, the core temperature is 1170°F. (a) Write an equation for the core temperature y of the object t hours after it is removed from the furnace. (Round your coefficients to four decimal places.)
Answers
Answer:45 I think
Step-by-step explanation: