The line plot represents the afterschool activities at 15 middle schools.
A horizontal number line starting at 0 and increasing by units of two up to 30. There is one dot above 4, 6, 14, and 28. There are two dots above 10, 12, 18, and 22. There are three dots above 16. The title is Afterschool Activities, and the number line is labeled Number of Activities.
Which statement best describes the spread and distribution of the data?
The data is symmetric with an approximate range of 24. The most frequent number of activities was 16, which might mean about half of each class participated.
The data is skewed with an approximate range of 24. The most frequent number of activities was 10, which might mean there are 10 different sports and clubs for middle school students that are the most popular.
The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.
The data is symmetric with an approximate range of 24. The most frequent number of activities was less than 10, which might mean that the schools do not have funding for the activities.
Answers
According to the line plot, the statement that best describes the spread and distribution of the data is "The data is bimodal with an approximate range of 24. The most frequent number of activities was either 16 or 28, which might show that the entire class needed to choose an activity.". (option c).
The horizontal number line starts at 0 and increases by units of two up to 30. The dots above the numbers represent the number of schools that offer a certain number of activities. For instance, there is one dot above 4, 6, 14, and 28, which means that only one school offers four activities, one school offers six activities, one school offers 14 activities, and one school offers 28 activities.
Based on this line plot, we can conclude that the data is not symmetric because there is not an equal number of dots on either side of the plot. Therefore, we can rule out the first and fourth options.
We can observe that there are more dots on the left-hand side of the plot, indicating that there are more schools that offer fewer activities. Additionally, the most frequent number of activities is 16, which means that about half of the schools offer this number of activities.
Furthermore, we can estimate the range of the data to be approximately 24, as the number line goes up to 30, and the highest number of activities offered by any school is 28.
Hence the correct option is (c).
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Related Questions
on the map , a line of length 5cm represents 40km, how many kilometers would a line of length 7 1/2 cm represents
Answers
Scale factor = 5cm / 40km = 1cm / 8km
To find out how many kilometers a line of length 7 1/2 cm represents, we can multiply the length of the line by the scale factor:
7 1/2 cm x 1cm / 8km = (15/2)cm x 1cm / 8km = 15/16 km
Therefore, a line of length 7 1/2 cm represents 15/16 km or approximately 0.938 km.
Health insurers and the federal government are both putting pressure on hospitals to shorten the average length of stay (LOS) of their patients. In 1996, the average LOS for non-heart patients was 4.6 days. A random sample of 20 hospitals in one state had a mean LOS for non-heart patients in 2000 of 3.8 days and a standard deviation of 1.2 days. How large a sample of hospitals would we need to be 99 percent confident that the sample mean is within 0.5 days of the population mean? Select one: a. 48 b. 7 c. 3 d. 32 e. 96
Answers
The sample of hospitals would we need to be 99 percent confident that the sample mean is within 0.5 days of the population mean is A. 48
How to calculate the sampleWe want to find the sample size (n) that would give us a confidence interval of 0.5 days, so we can rearrange the formula to solve for n:
n = (z*σ/CI)^2
Plugging in the given values:
z = 2.576 (for 99% confidence level)
σ = 1.2 days
CI = 0.5 days
n = (2.576 × 1.2/0.5)²
n ≈ 48
Therefore, the correct option is A.
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Determine if the two expressions are equivalent and explain your reasoning. 9a+ 12 and 3(3a+4)
Answers
Yes because in the second expression, you use the distributive property, multiplying the 3 by the 3a and the 4 in parentheses. This equals 9a+12, which is the other expression
Solve using the elimination method, and also determine whether a system is consistent or inconsistent, and whether the equations are dependent or independent.
Please helppp <3
Answers
To solve using the elimination method, we need to eliminate one of the variables.
Multiplying the first equation by 3, we get:
9x = 165 - 21y
Now we can write the system as:
9x = 169 - 22y
9x = 165 - 21y
Subtracting the second equation from the first, we get:
0 = 4 - y
Solving for y, we get:
y = 4
Substituting y = 4 in the first equation, we get:
3x = 55 - 7(4)
3x = 27
x = 9
Therefore, the solution to the system is (x, y) = (9, 4).
The system is consistent and independent, since it has a unique solution.
this question!
thank you!
Answers
Answer:
7
Step-by-step explanation:
2y+3y-18=-33?????????????????
Answers
Answer:
y=-3
Step-by-step explanation:
Answer:
Y = - 3
Step-by-step explanation:
So lets help you out here.....
First of all you should set up how you have to solve, let do this step by step...
Step 1 : 2y + 3y - 18 = - 33
Step 2 : Combine like terms... (2y + 3y = 5y)
Step 3 : Set up your new equation (5y - 18 = - 33)
Step 4 : Subtract negative 18 by negative 33 (- 18 - 33 = -15)
(PS: In a calculator - 18 - 33 is -51 but the 18 is also a negative so it would be - 15)
Step 5 : Divide (- 15 / 5 = - 3)
And that is how you solve this problem, have a great day!!!!!!
members 1st federal credit union charges a $27 per check overdraft protection fee. On March 8, you had $1,400 in your account. Over the next four days, you wrote checks for: March 9, $1,380.15, March 10 $670 and $95.67, March 11, $130 and March 12, $87.60. How much will you pay in overdraft protection fees? How much will you owe the bank after March 12?
Answers
The Bank charges $27 per check overdraft protection fee.
Balance on July 8= $1400
Check received July 9=$1380.15
Check received July 10=$670
Check received July 11=$130
Check received July 12=$87.60
Total amount in check received= $ (1380.15+670+130+87.60)=$2267.75
Check charges for 4 checks received=
4*$27=$108
1. Amount to pay on overdraft fee= $108
2. Amount she will owe the bank after July 12 will be;
$1400 + $2267.75 -$108 =$3559.75
Select all of the values of x that make the inequality 100 - 3x ≥ -50 true.
A: 50
B: -50
C: 49.9
D: 50.1
E: 0
Answers
I think this is right
May someone please help me with this question i need the assistance asap
Answers
Answer:
144
Step-by-step explanation:A first add 98 + 46 keyword Sum for interior angles
Determine if triangle PQR is similar to triangle LMK. If they are similar enter the scale factor from triangle LMK to triangle PQR.
Answers
Triangles PQR and LMK are not similar. Thus none.
What are similar triangles?Two or more triangles are said to be similar if on comparing their corresponding properties, some common relations holds. One important relation is the scale factor that relates one triangle with the other.
In the diagram given, we have;
scale factor = LK/ PR
= 18/ 10
scale factor = 1.8
But this scale factor can not be used to determine the side LM correctly.
That is,
LM ≠ 1.8*8
LM ≠ 14.4
since LM = 13
Therefore, it can be deduced that triangles PQR and LMK are not similar. Thus none.
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Use the diagram of the right triangle above and round your answer to the nearest hundredth.
If Measure of angle B = 60 degreesº and a = 10 meters, find b.
a.17.32 m
b6.93 m
c.14 m
d.9.99 m
Answers
The calculated value of the side length b is 17.32 meters
Finding the side length bFrom the question, we have the following parameters that can be used in our computation:
Angle B = 60 degrees
Length a = 10 meters
The side length b is calculated as
tan(60) = b/a
So, we have
tan(60) = b/10
Make b the subject
b = 10 * tan(60)
Evaluate
b = 17.32
Hence, the side length b is 17.32 meters
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Hurry pls
50pts
Time limit
Tell me the domain and range
Tell me whether the graph is a function or not.
The answer choices are below
Answers
Examining the graph, it can be deduced that the graph is not a function.
the domain is x ≥ -3the range is all real numbersWhat is domain and range?Domain and range are mathematical notation utilized to define the spectrum of possible accepted input values (domain) as well as the corresponding output values (range) in a given function or relation.
A definitive domain correspondingly denotes the compilations of all plausible inputs that generate a valid result when put essentially into the relation or operation.
Conversely, the range defines the plethora of conceivable outputs that this very same function or relation can devise, considering its specified domain.
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If m varies directly with n and m=209 when n=22, find n when m=361
Answers
Answer:174
Step-by-step explanation:
209-22=187
361-22=174
A boat heading out to sea starts out at Point A, at a horizontal distance of 1035 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 8°. At some later time, the crew measures the angle of elevation from point B to be 5°. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Answers
Note that given the angle of elevation, the distance from pont A to Point B is approximately 627.6ft.
See the attached image.
As shown in the attached figure:
L = AO Tan 8°
L = 1035 * Tan 8°
L = 1035 * 0.14054083470239144683811769343281
L = 1035 * 0.14054083470239144683811769343281
L = 145.46 Feet
BO = L/Tan 5°
BO = 145.459763917 / 0.08748866352592400522201866943496
BO = 1662.61270952
BO = 1662.6 Feet
Since AB = BO-AO
AB = 1662.6-1035
AB = 627.6 Ft.
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What is the density of a billiard ball with a radius 1.5 inches and a mass of 250g?
Answers
Answer: The density of the billiard ball is 6.67 g/cm^3.
Step-by-step explanation:
Eric invested in a savings bond for 4 years and was paid simple interest at an annual rate of 4%. The total interest that he earned was $1120. How much did he invest?
Answers
Answer:
$7000
Step-by-step explanation:
For simple interest,
I = Prt,
where I = amount of interest earned
P = principal amount, the amount of the investment
r = annual interest rate (convert percent to decimal for calculations)
t = time (number of years)
I = Prt
We know I, r, and t, and we need to solve for P.
1120 = P × 4% × 4
Convert percent to decimal.
1120 = P × 0.04 × 4
Multiply on the right side.
1120 = 0.16P
Divide both sides by 0.16
7000 = P
Answer: $7000
Find the missing side of the triangle round your answer to the nearest tenth
Answers
Answer:
x = 6 feet
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 8² = 10²
x² + 64 = 100 ( subtract 64 from both sides )
x² = 36 ( take square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6 feet
In a paddock of goats and chickens, there are 67 heads and 166 legs. How many goats are there?
Answers
G + C = 67 (equation 1: the total number of goats and chickens is 67)
4G + 2C = 166 (equation 2: the total number of legs is 166)
We can solve this system of equations for G, which represents the number of goats in the paddock. To do this, we can use the substitution method.
From equation 1, we can solve for C:
C = 67 - G
Then, we can substitute this expression for C into equation 2 and solve for G:
4G + 2(67 - G) = 166
4G + 134 - 2G = 166
2G = 32
G = 16
Therefore, there are 16 goats in the paddock.
(06.02 HC)
A person with type A blood can donate red blood cells to people with type A or type AB blood. About 31% of the U.S. population has type A blood. University High held a blood drive where 50 students donated blood.
Part A: What is the probability that exactly 17 of the students had type A blood? (5 points)
Part B: What is the probability that at least 17 of the students had type A blood? (5 points)
Answers
A) A probability of approximately 0.128 or 12.8% that exactly 17 students had type A blood.
B) There is a 93.0% chance that at least 17 students had type A blood in the blood drive held at University High.
Part A: To find the probability that exactly 17 of the 50 students had type A blood, we first need to calculate the probability of a single student having type A blood. Since about 31% of the U.S. population has type A blood, the probability of a student at University High having type A blood is also 31%.
We can use the binomial distribution formula to calculate the probability of exactly 17 students having type A blood in a sample of 50 students. The formula is:
P(X = x) = (n choose k) x pˣ x (1-p)ⁿ⁻ˣ
where P(X = x) is the probability of exactly x successes, n is the sample size (in this case, 50), p is the probability of success (31% or 0.31), (n choose k) is the binomial coefficient or the number of ways to choose k successes from n trials.
Plugging in the values, we get:
P(X = 17) = (50 choose 17) x 0.31¹⁷ x (1-0.31)⁵⁰⁻¹⁷ = 0.128 or 12.8%
Part B: To find the probability that at least 17 of the 50 students had type A blood, we need to calculate the probability of 17, 18, 19,...50 students having type A blood and then add those probabilities together. This is because "at least 17" means 17 or more students, so we need to consider all possibilities from 17 to 50.
Therefore, the probability of at least 17 students having type A blood is:
P(X >= 17) = 1 - P(X < 17)
where P(X < 17) is the probability of less than 17 students having type A blood. We can use the binomial distribution formula to calculate this probability as well:
P(X < 17) = P(X = 0) + P(X = 1) + ... + P(X = 16)
Again, this can be a tedious task to calculate manually. Instead, we can use a binomial calculator or a software program to find this probability.
Using a binomial, we find that the probability of less than 17 students having type A blood is approximately 0.070 or 7.0%. Therefore, the probability of at least 17 students having type A blood is:
P(X >= 17) = 1 - P(X < 17) = 1 - 0.070 = 0.930 or 93.0%
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Suppose that a cylinder has a radius of r units, and that the height of the cylinder is also r units. The lateral area of the cylinder is 512π square units. Find the value of r.
Answers
The calculated value of r ihe lateral area of the cylinder is 512π square units is 16 units
Finding the value of r.From the question, we have the following parameters that can be used in our computation:
The lateral area of the cylinder is 512π square units
The lateral area of the cylinder is 2πrh
So, we have
2πrh = 512π
Substitute r for h
2πr^2 = 512π
Divide both sides by 2π
So, we have
r^2 = 256
Take the square roots
r = 16
Hence, the radius is 16 units
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Help with this page :)
Answers
Answer:
17.
90 - 75 = 15
Answer: b
18.
ABC
Answer: A
19.
Answer: D
20.
Answer: D
Select the correct answer. Which statement correctly describes this expression?\left|x^3\right|+5 A. the sum of the absolute value of three times a number and 5 B. 5 more than the absolute value of the cube of a number C. the cube of the sum of a number and 5 D. the absolute value of three times a number added to 5
Answers
The expression |x³| + 5 is 5 more than the absolute value of the cube of a number.
Option B is the correct answer.
We have,
The expression |x³| represents the absolute value of the cube of a number x.
This means that no matter what value x takes (positive, negative or zero), the result of the expression will always be positive.
For example, if x = 2, then |x³| = |2³| = |8| = 8.
If x = -2, then |x³| = |-2³| = |-8| = 8.
Adding 5 to the absolute value of the cube of x means adding 5 to the positive number that resulted from |x³|.
So, if we take the examples from above, if x = 2, then the expression becomes |2³| + 5 = 8 + 5 = 13.
If x = -2, then the expression becomes |-2³| + 5 = 8 + 5 = 13.
Therefore,
The expression |x³| + 5 is 5 more than the absolute value of the cube of a number.
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Prove the following:
Answers
Based on the information, HH is a subset of Ha, which is a subset of aH, which is a subset of H, which is a subset of HH
How to make the proofIt should be noted that to demonstrate this theory, we must show that each of these collections are components of the others and consequently all are equivalent.
At first, let's evaluate HH. As H is a subgroup of G, it is dependent on multiplication so for any two elements h1, h2 in H, the product h1h2 is also in H. Thus, every entity within HH can be expressed as the aggregate of h1h2 for certain elements h1, h2 from H. Since H is a subgroup, it is also subject to inverse property, so h2^-1h1^-1 remains inside H. Clearly, h1h2 thus translates to h'(h2^-1h1^-1)h'', where h', h'' are members of H.
This illustrates that every component of HH can be presented as h'h'' for a pair of h', h'' which exist in H, therefore approximating with accuracy the definition of H. Thus, we have demonstrated that HH is part of H.
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Rotations : If the point (6,2) was on a figure that was rotated 180 degrees clockwise what would be the coordinates of the new point on this figure
Answers
The coordinates of the new point is (-6, -2)
What would be the coordinates of the new pointFrom the question, we have the following parameters that can be used in our computation:
Point = (6, 2)
Rule: 180 degrees rotation
The rule of 180 degrees rotation is
(x, y) = (-x -y)
substitute the known values in the above equation, so, we have the following representation
image = (-6, -2)
Hence, the image = (-6, -2)
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Find the amount in the account for the given principal, interest rate, time, and compounding period. P = $3,830, r= 5.5%, t = 20 years; compounded monthly
Answers
The amount on compound interest is $ 96,685,319.07
What is amount on compound interest?The amount on compound interest is given by A = P(1 + r)ⁿ where P = principal amount, r = interest rate and t = time
To find the amount on compound interest given that
P = $3830r = 5.5 % compounded monthly, so r = 5.5 % × 12 = 66% = 0.66n = 20 yearsSo, substituting the values of the variables into the equation, we have that
A = P(1 + r)ⁿ
A = $3830(1 + 0.66)²⁰
A = $3830(1.66)²⁰
A = $3830(25244.21)
A = $ 96,685,319.07
The amount is $ 96,685,319.07
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Please help me 10 extra points
Answers
The probability of getting hearts or face cards is 25/52.
We know that, Probability of an event = Number of favorable outcomes/Total number of outcomes.
Total number of outcomes = 52 cards
Number of hearts = 13
Number of face cards = 12
Probability getting hearts = 13/52
Probability getting face cards = 12/52
P(Hearts or Face card) = 13/52 + 12/52
= 25/52
Therefore, the probability of getting hearts or face cards is 25/52.
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The sum of a certain infinite geometric series is $2.$ The sum of the squares of all the terms is ${}5.$ Find the common ratio.
Answers
The common ratio between the sum of a certain infinite geometric series is 2. the sum of the squares of all the terms is 3 is, - 1/9
Now, We can formulate;
⇒ { a/ 1-r} = 2
And, a²/ (1 - r²) = 5
⇒ 2a/ ( 1+r ) = 5
⇒ 2(2 - 2r)/ 1 + r = 5
⇒ 4 - 4r = 5 + 5r
⇒ 9r = - 1
⇒ r = - 1/9
Thus, The common ratio between the sum of a certain infinite geometric series is 2. the sum of the squares of all the terms is 3 is, - 1/9
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I can prove that 2=1, where is the error?
X = 1
X+X = 1+X
2x = 1+X
2x = X+1
2X-2 = X+1-2
2x-2 = X-1
2 (x-1)/(x-1) = X-1/X-1
2 times 1 = 1 1-1 / 1-1
2 = 1
I subtracted -2
because thats the # I chose to subtract with.
Answers
Answer:The algebraic steps you have taken are incorrect, leading to an invalid conclusion. Let's go through each step and see where the mistake is made:
X = 1 (given)
X+X = 1+X (adding X to both sides)
2X = 1+X (combining like terms)
2X = X+1 (rearranging terms)
2X-2 = X+1-2 (subtracting 2 from both sides)
2X-2 = X-1 (simplifying)
2(x-1)/(x-1) = (x-1)/(x-1) (dividing both sides by x-1, note that x cannot be 1 as it would result in division by 0)
2 = 1 (canceling out the (x-1)/(x-1) on both sides)
The error lies in dividing both sides by (x-1) in step 7. Although (x-1) appears on both sides of the equation, it is not equal to zero as x cannot be 1 due to division by zero. Dividing by (x-1) effectively cancels it out, leading to the incorrect result of 2=1.
Step-by-step explanation:
In a roll of 50 pennies, 15 were made before 1985. What percent of the pennies in the roll were made before 1985?
Answers
The percentage of pennies in the roll is A = 30 %
Given data ,
Let the percentage of pennies in the roll made before 1985 be A
Now , the total number of pennies be = 50 pennies
And , the number of pennies made before 1985 is = 15 pennies
So , the percentage is A = ( 15 / 50 ) x 100
On simplifying the equation , we get
A = 3/10 x 100
A = 30 %
Hence , the percentage is 30 %
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please help me thank you!!
Answers
Answer: 75%
Step-by-step explanation:
We will divide the wanted outcome by the total number of possible outcomes. Note that a decimal times 100 becomes a percentage.
[tex]\displaystyle \frac{\text{not picking a diamond card}}{\text{cards in the deck}} =\frac{39}{\text{52}} =0.75\;\;\;0.75*100=75\%[/tex]
