Joseph researched the ages of some of his favorite professional
football players. He recorded his results in the dot plot below.
Which of the following statements about the distribution are true?
I. There are two peaks at 27 and 28.
II. The distribution is skewed.
III. The distribution does not have an outlier.
IV. The distribution shows a spread of 5.
I only
I, II, and III only
I, III, and IV only
I, II, III, and IV
Answers
The statements that are true about the dot plot are: I, III, and IV only.
What is the Spread of a Data in a Dot Plot?The range, which is the difference between the maximum and minimum value, is a measure of the spread of a data distribution.
In the dot plot given, the spread of the data is: 30 - 25 = 5.
The peak points are at 27 and 28, and the data looks symmetrical in shape with no clear outlier.
Therefore, the statements that are true about the dot plot are: I, III, and IV only.
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Related Questions
They are 1,236 oysters in a tub. If Lee gives Chris half of her oysters how many will remain in the tub?
Answers
Answer:
618
Step-by-step explanation:
half means you divide by 2.
so 1,236/2=618
hope this helps
Answer:
618 oysters
Step-by-step explanation:
Given :
1,236 oysters in a tubGives Chris half of her oystersSolving :
half refers to dividing the number of oysters by 2 or multiplying by 1/2⇒ 1,236 / 2⇒ 618 oysters remainHELPPP WHATS THE PERMITER
Answers
Answer:
48 is the perimeter
Step-by-step explanation:
I gotchu
Complete the following sentence with the best phrase. A small P-value means:
A. The data provide strong evidence in favor of the null hypothesis
B. The data provide no evdence in favor of either hypothesis
C. The data provide little evidence in favor of the alternative hypothesis
D. The data provide strong evidence in favor of the alternative hypothesis
Answers
Answer:
d
Step-by-step explanation:
Please help with this question!!!
Of all the apartments in an apartment building, 20 percent are single bedroom apartments and 30 percent of the single bedroom apartments have balconies. If 28 single-bedroom apartments do not have balconies how many apartments are there in this apartment building?
Answers
Answer:
200
Step-by-step explanation:
Of the apartments in the building, 20% are singles and 70% of those do not have balconies.
That is, (0.20 × 0.70) = 0.14 of the building's apartments are singles without balconies. That is 28 apartments. If A is the number of apartments in the building, this means
0.14A = 28
A = 200 . . . . . divide by 0.14
There are 200 apartments in the building.
Expand and simplify 2(x+7)+3(x+1)
Answers
To solve this function, we must add like terms until there is nothing that we can add, multiply, subtract, divide, or simplify
[tex]2(x+7) +3(x+1) = 2x + 14 + 3x + 3 = 5x + 17[/tex]
Hope that helps!
Steps:
1. Distribute the numbers on the outside of the parentheses to one’s on the inside
2. Then combine the like terms. Such as 3x and 4x.
3.Simplify if needed.
In this case after combining like terms it is the simplest this equation will get because you can’t combine 5x with 17. They aren’t like terms.
2(x +7)+3(x +1)
= 2x+14+3x+3
= 5x+17
Hope this helps! :)
Find the volume and surface area of this combined figure.
Answers
The volume and surface area of the composite shape are 575.6cm³ and 518.1cm² respectively
How to calculate the volume and surface area of composite shapesComposite shapes are the combination of two or more shapes combined together.
The composite shape given is made up of a hemisphere and a cone
Volume of the composite shape = 2/3πr³ + 1/3πr²h
Volume of the composite shape = 1/3πr²(2r+h)
Volume of the composite shape = 1/3(3.14)(5)²(2(5)+12)
Volume of the composite shape = 1/3(3.14)(5)²(22)
Volume of the composite shape = 575.6cm³
Hence the volume of the composite shape is 575.6cm³
Calculate the surface area
Surface area = πr(r+l) + 3π r²
Surface area = 3.14(5)(13+5) + 3(3.14)(25)
Surface area = 282.6 + 235.5 = 518.1 square cm
Hence the surface area of the composite figure is 518.1 square cm
15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.
Answers
Answer:
x = 13√3
y = 13
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
In order to make the long sides match, we need to multiply these by 13:
1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26
Matching values, we find ...
x = 13√3
y = 13
4. If you are moving a 25 N weight, over a distance of 2.5 meters, how much work is being
done?
Answers
Answer:
62.5 J
Step-by-step explanation:
Formula
Work = Force x Distance (Displacement)Given :
Force = 25 NDistance = 2.5 mSolving
Work = 25 x 2.5Work = 62.5 JThe work done with the given force and distance is 62.5 Newton meter.
What is time and work?The basic concept of Time and Work is similar to that across all Arithmetic topics, i.e. the concept of Proportionality. Efficiency is inversely proportional to the Time taken when the amount of work done is constant.
Given that, force = 25 N weight and distance = 2.5 meters
We know that, work = Force×Distance
Here, work = 25×2.5
= 62.5 Newton meter
Therefore, the work done is 62.5 Newton meter.
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17) y=-2(x-3)^2+8
Vertex: ____
Y-intercept(plug-in 0): ____
18) y=4x^2-8x-5
a=__ b=__ c=__
1. Circle: Graph upwards/downwards
2.Vertical Axis of Symmetry
X=-b/2a
X=__
3.Vertx (plug in axis of symmetry):
4. Y-intercept (plug in 0):(0,_)
5. X-intercepts (Solve by any method):
X=__,__
6.Graph the equation below:
Answers
Answer:
17. vertex (3,8)
y intercepts = -10
18. a=4,b=-8,C=-5
1. graph downwards
2.x=1
3.vertex(1,-9)
4.y intercept = -5
5.x = -1/2 or X = 5/2
Draw a model of 1/2 divided by 4 please help yall
Answers
Answer:
1/8
Step-by-step explanation:
1/2 divided by 4 = 8 1/8ths
b) x2 - 2x - 3
I need help with factorising :/
Answers
I know that answer
..............please mark as brainliest
What is the slope and y-Intercept of the equation on the graph?
Answers
Answer:
Slope: 3/2
Y-Intercept: 3
Step-by-step explanation:
The y-intercept is very easy to discover as it is just the Y coordinate when X is zero or "intercepts" the x axis. So if you look directly above the origin you see that the line has the point (0, 3).
The Y Intercept is 3
The slope is found using the slope formula of y2-y1/x2-x1
Lets take two points from the line. We have the (0, 3) point that I mentioned earlier and we can get the x-intercept of (-2, 0)
Lets Solve!
3- 0 = 3
0-(-2) = 2
3/2 is the slope
So the formula is Y = 3/2 + 3
In a concert band, the probability that a member is in the brass section is
0.50. The probability that a member plays trombone, given that he or she is in
the brass section, is 0.24.
What is the probability that a randomly selected band member is in the brass
section and plays trombone?
• A. 0.74
•
B. 0.12
• C. 0.26
• D. 0.48
Answers
Answer:
the answer is C. 0.26
Step-by-step explanation:
Because 0.50 + 0.24 is 0.74 and I'm guessing it goes to 1.0
So you subtract 1.0 from 0.74 to get 0.26
Solve algebraically for x: -2/3(x+12)+2/3x=-5/4x+2 pls explain
Answers
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]\dfrac{-2}{3} (x+12)+\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Start out by simplifying the distributive property on the left hand side.
[tex]\implies \dfrac{-2x}{3} + \dfrac{(-24)}{3} +\dfrac{2x}{3} =\dfrac{-5x}{4} +2[/tex]
Combine like terms on the left hand side.
[tex]\implies x\huge\text{(}\dfrac{-2}{3} + \dfrac{2}{3}\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
Simplify the left hand side.
[tex]\implies x\huge\text{(}0\huge\text{)}+ \dfrac{(-24)}{3} =\dfrac{-5x}{4} +2[/tex]
[tex]\implies x\huge\text{(}0\huge\text{)} - 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies0- 8 =\dfrac{-5x}{4} +2[/tex]
[tex]\implies-8 =\dfrac{-5x}{4} +2[/tex]
Subtract 2 both sides.
[tex]\implies-8 -2 =\dfrac{-5x}{4} +2 - 2[/tex]
[tex]\implies-10 =\dfrac{-5x}{4}[/tex]
Use cross multiplication.
[tex]\implies-10 \times 4 =-5x[/tex]
[tex]\implies-40 =-5x[/tex]
Divide -5 both sides.
[tex]\implies \dfrac{-40}{-5} =\dfrac{-5x}{-5}[/tex]
[tex]\implies 8=x[/tex]
Thus, the value of x is 8.
Answer:
x = 8
Step-by-step explanation:
Given equation:
[tex]-\dfrac23(x+12)+\dfrac23x=-\dfrac54x+2[/tex]
Multiply both sides by 3:
[tex]\implies -2(x+12)+2x=-\dfrac{15}{4}x+6[/tex]
Multiply both sides by 4:
[tex]\implies -8(x+12)+8x=-15x+24[/tex]
Expand brackets:
[tex]\implies -8x-96+8x=-15x+24[/tex]
Combine like terms:
[tex]\implies -96=-15x+24[/tex]
Add 15x to both sides:
[tex]\implies 15x-96=24[/tex]
Add 96 to both sides:
[tex]\implies 15x=120[/tex]
Divide both sides by 15:
[tex]\implies x=8[/tex]
An employee at a veterinarian's office put
6.825 kilograms of cat food into serving
bowls. He put 0.065 kilogram into each
bowl.
How many bowls did the employee fill?
Answers
Answer:
105 Bowls
Step-by-step explanation:
6.825 ÷ 0.065 = 105 Bowls
The cost of attending an amusement park is $15 for children and $35 for adults on a particular day the attendance at the amusement park is 25,000 attendees and the total money earned by the park is 600,000 use a given matrix equation to solve for the number of children tickets sold
Answers
The total number of children tickets sold on the particular day is; 13750.
What is the total number of children tickets sold?It follows from the task content that;
x + y = 25,00015x + 35y = 600,000On this note, it follows that the total number of children and adult tickets sold on that particular day is; x and y respectively.
Upon solving the equation simultaneously, x=13750.
Hence, the total number of children tickets sold is; 13750.
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Answer:
13,750
Step-by-step explanation:
Switch values a and d value a 1 and value d 35 and then after that make values b and c negative so turn value b 1 into -1 and turn value c 15 into -15 and then follow this method a×d-(-b)×(-c) so like this 1×35-(15)(1)= 35-15=20 and thats the determinant so then you do put it on a fraction below 1 so like this 1/20 times the top part of the matrix (35 -1 ) and the bottom part of the matrix (-15 1) so mulitply every value by 0.05 so we end up with the top part of the matrix (1.75 -0.05)
and the bottom part of the matrix (-0.75 0.05) and then we multiply them like this
1.75(25,000) + (-0.05)(600,000)= 43,750 - 30,000= 13,750
-0.75(25,000) + 0.05(600,000) = -18,750 + 30,000= 11,250
so the missing matrix is
(13,750 11,250)
so the number of childrens tickets sold is 13,750
18, 6, 2, ...
Find the 7th term.
Answers
Answer:
2/81
Step-by-step explanation:
Firstly find out the common ratio.
And then the general term.
And at last you can find any term(7th term in this case).
The 7th term of the sequence will be 13122.
What is a geometric sequence? What is a expression? What is a mathematical equation?A geometric sequence is a sequence in which each term is found by multiplying the preceding term by the same value. The nth term of the sequence will be a[n] = arⁿ ⁻ ¹.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.We have the following sequence -
18, 6, 2 ...
The nth term of the geometric sequence will be a[n] = arⁿ ⁻ ¹.
a[7] = 18 x 3⁶
a[7] = 18 x 9 x 9 x 9
a[7] = 13122
Therefore, the 7th term of the sequence will be 13122.
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Which of the following is true about quantitative research? Group of answer choices It offers conclusions that are always correct. It is always conducted using primary data collection. It includes focus group interviews. It revises the research objective based on data mining. It confirms insights and hypotheses generated via qualitative research.
Answers
Peter graphed two points given below on a coordinate plane.
(-6, 4), (3, 4)
What is the distance between the points?
Answers
Answer:
9
Step-by-step explanation:
Because the y-coordinates are the same but the x-coordinates are different so -6 to 3 would be 9 because -6 to 0 is 6 and 0 to 3 is 3 and 3 + 6 equals 9
Answer:
distance: 9 units
Explanation:
[tex]\sf distance \ between \ points \ : \ \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]
Here coordinates : (-6, 4), (3, 4)
substitute the following values and put into the equation
[tex]\sf \rightarrow \sqrt{(4-4)^2+(3-(-6))^2}[/tex]
[tex]\sf \rightarrow \sqrt{(3+6)^2}[/tex]
[tex]\sf \rightarrow \sqrt{81}[/tex]
[tex]\sf \rightarrow 9[/tex]
Solve for m
[tex]n=\frac{4}{5} (m+7)[/tex]
Answers
[tex]n=\dfrac 45 (m+7)\\\\\implies 5n = 4(m+7)\\\\\implies 5n = 4m+28\\\\\implies 4m = 5n-28\\\\\implies m = \dfrac{5n-28}{4}[/tex]
help me with this problem ASAP!
Answers
Answer:
24 boards
Step-by-step explanation:
The builder is building a fence with inches wide wooden boards, arranged side-by-side with no gaps.
If the fence is 150 inches long, then there will be a certain number of wooden boards required.
Now, 1 wooden board is equivalent to 6.25 inches.
Then the number of wooden boards required to cover 150 ft. will be
Answer:
24
Step-by-step explanation:
150/6.25 = 24. one unknown so divide to move 6.25 and you get the answer.
PLS HELP
it is the last question ignore the lesson and pg number ;)
Answers
Answer:
the last answer is -1 :))))))
An electrician leans an extension ladder against the outside wall of a house so that it reaches an electric box 22 feet up. The ladder makes an angle of 77^{\circ}
with the ground. Find the length of the ladder. Round your answer to the nearest tenth of a foot if necessary.
Answers
The ladder and the outside wall form a right triangle
The length of the ladder is 97.8 feet
How to determine the length of the ladder?The given parameters are:
Distance (B) = 22 feet
Angle of elevation (θ) = 77 degrees
The length (L) of the ladder is calculated using the following cosine ratio
cos(θ) = B/L
So, we have:
cos(77) = 22/L
Make L the subject
L = 22/cos(77)
Evaluate the product
L = 97.8
Hence, the length of the ladder is 97.8 feet
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how do you do 35x56 i need help please
Answers
Answer:
EASY-
Step-by-step explanation:
First you need to write down the equation into what I call box form.Find CD. Assume segments that appear to be tangent are tangent.
Answers
Answer: 5
Step-by-step explanation:
Isabella is calculating the interest earned on a deposit of $3,000 in an account that earns 4% compound interest after 6 years.
Answers
$3,000 in an account that earns 4% compound interest after 6 years.
solution:[tex]p = 3000[/tex]
[tex]r = 4[/tex]
[tex]t = 6years[/tex]
[tex]interest = \frac{prt}{100} [/tex]
[tex] = \frac{3000 \times 6 \times 4}{100} [/tex]
[tex] = 720[/tex]
therefore, $720 is the current amount of interest.
What is the perimeter, rounded to the nearest tenth? 24.2 ft 28.3 ft 48.5 ft 56.8 ft
Answers
Answer:
48.5 ft
Step-by-step explanation:
Need this please, asap
Answers
Answer:
2√13
Step-by-step explanation:
15-9 to find a^2, 4 is b^2, and then pythagorean thereoum, a^2+b^2=c^2.
Answer:
Step-by-step explanation:
The base of the triangle used to solve for x (Pythagorean Theorem) is 15 - 9 = 7
The height of the right triangle is 4 so now you have enought to solve for x
Givens
a = 7
b = 4
c = x
Equation
x^2 = b^2 + a^2
Solution
x^2 = 7^2 + 4^2
x^2 = 49 + 16
x^2 = 65 Take the square root of both sides
√x^2 = √65
Answer x = √65
You want to paint the four walls in your
bedroom. Each wall is 9
feet tall by 12 feet
wide. What is the total
area
Answers
write the number in word form 4,651.93
Answers
Answer:
Four thousand six hundred fifty one point nine three
Hope this helps and please mark brainliest!
