Proportion of females who have less than 3 close friend working note
What is the statistical median?
The midway number in a set of data is known as the median. The data should first be arranged and ranked from smallest to greatest. Divide the total number of observations by two to get the midway value. The value in that location is the median if there are an odd number of observations; otherwise, round the number up.(a) Mean =1.04
Median=1
assuming the number of close friends as a whole value, our mean is also 1.
the distribution is roughly symmetric. because mean is approximately equal to median.
The explanation is provided in the image attached above;
Answer (b)Median number of a close friend for females is 1.
The calculation for median is provided in the image.
Answer(c) According to the shape of the distribution as we have observed from the data we can say that the median calculated for close friends of females is the same as the mean number of close friends for men.
Here we are not assuming the number of close friends in decimal(because it is not a continous variable).
Answer (d) P(less than 3) = P(0) + P(1) + P(2)
= 0.353+0.368+0.191=0.912
Proportion of females who have less than 3 close friend
working note:
m= mean =1.04
probability = ( e-m x mr) / r
P(0) = (e-1.04 x 1.040 ) / 0 = 0.353
P(1) = (e-1.04 x 1.041 ) / 1 = 0.368
P(2) = (e-1.04 x 1.042 ) / 2 = 0.191
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The complete question is -
The following table reports counts of the number of "close friends" reported by a sample of men and a sample of women. Number of close friends 0 1 2. 3 4 Total Number of male respondents 20 12 10 5 N 49 Number of female respondents 25 13 9 6 2 2 55 a. Is the distribution corresponding to the number of female respondents roughly symmetric, skewed to the right, skewed to the left? Explain. b. Calculate the median number of close friends for females. Round your answer to two decimal places c. Based on the shape of the distribution (and only accounting for the number of close friends for females), do you expect the median calculated in part b. to be greater than the mean, smaller than the mean, or about the same as the mean number of close friends for men? Do not calculate the mean. d. What is the proportion of females who say they have less than 3 close friends? Give an exact answer.
both my numerator and my denomiater are even numbers and their sum is 68 i am equivalent to 7/10 what fraction am i
I am the fraction 28/40.
It is given in the question that my numerator and denominator are even numbers. Also, the sum of the numbers is 68 and the fraction I am is equivalent to 7/10.
We have to find the fraction which I am.
Let the fraction I am be 7x/10x.
According to the data given in the question, we can write,
7x + 10x = 68
17x = 68
x =68/17
x = 4
Hence, both the even numbers are :-
7x = 7*4 = 28, and
10x = 10*4 = 40
Hence, the fraction which I am is 28/40.
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on the next play, the team gained 5 yards and then lost 6 yards. what is the total change in yards? 5- blank
= 5 + blank
= blank
help me schools tomorrow
Find the distance between the points (1, 0) and (-3, 2)
Answer:
the distance is 4 unit squares
the length of a rectangle is twice as long as he width. the perimetter of the rectangle is 72 in. what tare thte length and width of this rectangle
Width is 24 & Length is 12 of a rectangle.
What is rectangle short answer?
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.give,
Perimeter = 72
Width = 2*Length
Let P = Perimeter
Let W = Width
Let L = Length
Knowing
P = 2L + 2W = 72
W = 2L
We can rewrite everything in terms of Length
72 = 2L + 2(2L)
72 = 2L + 4L
72 = 6L
72/6 = L
12 = L
W = 2L
W = 2(12) = 24
Width is 24
Length is 12
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help needed on this question! with show work
Answer: 5 cm
Step-by-step explanation:
We know that 3x + 2x makes up one side of the square. Recall that the formula for a square's perimeter is P = 4a. Thus:
(3x + 2x) * 4 = 100
5x * 4 = 100
20x = 100 (divide by 20)
x = 5 (cm)
Find the 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,...
The 14th term of the arithmetic sequence x-1x−1, 7x-77x−7, 13x-13, ...13x−13,... is -79.
The nth term of a particular arithmetic sequence can be found by, an = a + (n – 1)d. So in order to find the nth term, substitute the given values [tex]a_{1}[/tex] and d into the formula. So to find the 14th term, substitute n = 14 into the equation which is the nth term.
Given,
[tex]a_{1}[/tex]= x-1x-1
[tex]a_{2}[/tex]= 7x-77x−7
[tex]a_{3}[/tex]= 13x-13
n= 14
We have to find the common difference d from differences in adjacent terms [tex]a_{1}[/tex],[tex]a_{2}[/tex],[tex]a_{3}[/tex] . That is,
[tex]a_{2}-a_{1} =a_{3} -a_{2}[/tex]
[tex]7x-77x-7-(x-1x-1)=13x-13-(7x-77x-7)[/tex]
[tex]7x-77x-7-x+x+1=13x-13-7x+77x+7\\-70x-8x=-6+6\\-78x=0\\ x=0[/tex]
Put x=0 in x-1x-1, 7x-77x-7, 13x-13
Therefore,
[tex]a_{1}[/tex] = -1
[tex]a_{2}[/tex] = -7
[tex]a_{3}[/tex] = -13
Then, d will be [tex]-7-(-1)[/tex] or [tex]-13-(-7)[/tex]
So, d= -6
Put [tex]a_{1}[/tex], d, and n in the equation [tex]a_{n} =a+(n-1)d[/tex] to find the 14th term.
Therefore,
[tex]a_{14}=-1+(14-1)-6\\ =-1-78\\=-79[/tex]
The 14th term of the given arithmetic sequence is -79
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A college administrator wants to survey 250 students that attend her college to see if students are satisfied with the course offerings. Match the strategies to their corresponding sampling techniques. 1. The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes. 2. The administrator gets the complete list of students at the college and surveys every 50th students on the list. 3. The administrator gets the complete list of students at the college and then uses a computer to randomly select 250 students. She then surveys these 250 students. 4. The administrator stands by the front door of the admissions department and asks the first 250 students who walk in. 5. The administrator researches the ethnic make-up of the college and makes sure that the proportion of each ethnic group represented in the sample is the same as the corresponding proportion of that ethnic group at the college. a. Convenience Sampling b. Simple Random Sampling c. Systematic Sampling d. Cluster Sampling e. Stratified Sampling
The matched pairs were identified using sampling techniques as follows:
a - 3b - 2c - 1d - 4e - 5Sample techniques:Convenient: The most convenient way to sample, for example, all people in one location.
Random: A selection of options drawn at random from a set of all.
Systematic: Every k element is sampled for one option.
Cluster: Divide into groups, and survey all elements of each group.
Stratified: Divided into groups, with a percentage of each group surveyed.
So,
Item a:
Students are chosen at random, resulting in simple random sampling.3 matches a.Item b:
Every kth student, in this case, every 50th student, resulted in systematic sampling.b corresponds to 2.Item c:
A proportion of each group is sampled after being divided into groups. As a result, stratified sampling.1 match c.Item d:
Cluster sampling is achieved by dividing the population into groups (classes) and sampling all elements of each group.d equivalents 4.Item e:
The number of people in a location, and thus convenience sampling. e matches 5.Therefore, the matched pairs were identified using sampling techniques as follows:
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The correct question is given below:
A college administrator wants to survey 250 students that attend her college to see if students are satisfied with the course offerings. Match the strategies to their corresponding sampling techniques.
a. 12345 The administrator gets the complete list of students at the college and then uses a computer to randomly select 250 students. She then surveys these 250 students.
b. -12345 The administrator gets the complete list of students at the college and surveys every 50th students on the list.
c. -12345The administrator researches the ethnic make-up of the college and makes sure that the proportion of each ethnic group represented in the sample is the same as the corresponding proportion of that ethnic group at the college.
d. -12345 The administrator goes into 9 classes from many subject areas and asks all the students in each of these 9 classes.
e. -12345 The administrator stands by the front door of the admissions department and asks the first 250 students who walk in.
1. Stratified Sampling
2. Systematic Sampling
3. Simple Random Sampling
4. Cluster Sampling
5. Convenience Sampling
What are
the domain and the range of the graph?
Look at the diagram and evaluate. Which of the statements below is TRUE?
A). EH < EF
B). F is the midpoint of EG
C). GH< EF
D). FH> EG
The correct statement regarding the segments on the number line is:
C). GH< EF
Why the third statement is correct?For the first statement, the lengths are EH = 19 - 6 = 13 and EF = 11 - 6 = 5, hence EF < EH.For the second statement, we have that EF = 5 and EG = 9, since 5 is not the half of 9, it is not the midpoint.For the third statement, GH = 19 - 15 = 4 < EF = 5, hence it is the correct statement.For the fourth statement, EG = 9 > FH = 8, hence it is also not correct.More can be learned about segments at https://brainly.com/question/18315903
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A square has a vertex at (2,3). Name three other possible vertices of the square.
The three other possible vertices of the square are; (-3, 3), (-3, -2) and (2, -2)
What are the vertices of the square?
We are given the vertex of the square as (2, 3).
Now, it is well known that the sides of a square are equal.
This means that there must be another vertex that will have 3 as its' y-coordinate. Similarly, there will be a different coordinate that will have its' x-coordinate as 2.
Similarly, another 2 points will be reflected over the y-axis to get a negative of the previous two x-values. This also applies to the y-values. Thus, when we combine all these together, we will have the coordinates as; (2, 3), (-3, 3), (-3, -2) and (2, -2)
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Which of the following cannot be used to explain why a hypothesis is true?
A Definition
B Postulate
(C) Theorem
D) Geometry
Answer: B
Step-by-step explanation: A Postulate is statement that is assumed true with no proof.
A hypothesis is an explanation provided for a phenomena. The correct option is B.
What is a Hypothesis?A hypothesis is an explanation provided for a phenomena. The scientific method demands that a hypothesis be testable in order for it to be considered a scientific hypothesis. Scientists often establish scientific hypotheses on past data that cannot be adequately explained by existing scientific ideas.
The one that cannot be used to explain why a hypothesis is true is a postulate. This is because a postulate is a statement that is considered to be true but has no supporting evidence.
Hence, the correct option is B.
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The midpoint of ABis M(-1, -4). If the coordinates of A are (-3, -7), what are the coordinates of B?
Given:
M(-1,-4) is the mid point of points a(-3, -7)
and B
To find:
Coordinates of B
Explanation:
Let (x, y) be the coordinates of B.
Since M is the midpoint of A and B,
M-A IB-EM
YM-YA-YB-YM
Substituting the values,
The x coordinate will be
-1-(-3)=-(-1)
-1+3=x+1
=2-1 x = 1
The y coordinate will beYM YAYB-YM
Substituting the values,
The x coordinate will be
- 1 - (- 3) = x - (- 1) - 1 + 3 = x + 1 x = 2 - 1 x = 1
The y coordinate will be
- 4 - (- 7) = y - (- 4) - 4 + 7 = y + 4 y = - 1
y = 7 - 8
Hence x=1, y = - 1
Final answer:
The coordinates of B are (1,-1)
What is the measure of the central angle that defines the shaded area below if the shaded area takes up 70% of the circle?
Calculate the surface area of the object provided.
A. 56 cm
B. 64cm³
C. 80cm²
D. 112cm²
Answer:
112cm^2
Step-by-step explanation:
A=2(wl+hl+hw)=2·(2·8+4·8+4·2)=112
Answer: B. 64 cm³
Step-by-step explanation:
Let's lenth of the object set is a, width - b and height - h
Thus,
V=abh
a=8 cm b=2 cm h=4 cm
Hence,
V=8*2*4
V=64 cm³
Identify the slope and y intercept of the line for
each equation.
7. y = -5x - 3/4
8. y=1/4x+5
Answer:
7. Slope = -5
Y-intercept = -3/4
8. Slope = 1/4
Y-intercept = 5
Step-by-step explanation:
y = mx + b
Slope = m
Y-intercept = b
Make sure the green line is on the mean value of x = 44. next, move the green line one standard deviation to the right. what z-score is associated with this value?
Z = 1.00, z-score is associated with this value.
Why is z-score important?
Because they allow for a comparison between two scores that do not belong to the same normal distribution, z-scores are significant. They are also employed to determine the likelihood that a z-score will occur inside a normal distribution. A negative z-score indicates that the raw data is smaller than the mean.What Is a Z-Score?
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.one std dev to the right
so, Z = 1.00
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The complete question is?
Converting to z-Scores Conceptual Overview: Explore how an original or "raw" score can be expressed as a 7-score using the mean and standard deviation of the variable. The dot plot below shows the sizes for five classes with a mean of 44 and standard deviation of 8. The dynamic equation shows the mathematical conversion to z-scores in real-time. Drag the vertical line to see the corresponding 2-score for each possible class size. 2 42-44 = 8 -0.25 s x = 42 32 54 mean x = 44 z = -0.25 -1.50 0.25 1.24 mean z=0 Created by Gary H. McClelland, Professor Emeritus University of Colorado Boulder Cengage Learning. All Rights Reserved 1. Make sure the green line is on the mean value of x = 44. Next, move the green line one standard deviation to the right. What z-score is associated with this value?
Assignment Active
Solve and write about ratios.
Students voted for a new class president and the results What does the ratio 344:109 represent?
are shown in the table.
O Jocelyn's votes to total votes
O Rosalia's votes to Danny's votes
O total votes to Jocelyn's votes
O total votes to Danny's votes
Assignment
Candidate
Rosalia
Jocelyn
Danny
Intro
Votes
124
109
111
Who votes to who’s votes
The answer to this question is:
Ratio 344:109 represents the ratio of the total votes to Jocelyn's votes.
A ratio in mathematics shows how frequently one number is contained in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of orange to lemon is eight to six (that is, 8:6, which is equal to the ratio of 4:3).
According to the question,
No. of votes Rosalia got = 124
No. of votes Jocelyn got = 109
No. of votes Danny got = 111
No. of votes received by all candidates =
= 124 + 109 + 111
= 344
So, the ratio 344:109 is the ratio of the total votes to Jocelyn's votes.
Therefore, Ratio 344:109 represents the ratio of the total votes to Jocelyn's votes.
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Simplify the expression.
12e +6-2e + 5
Answer:
10e + 11
Step-by-step explanation:
12e + 6 - 2e + 5 ← collect like terms
= (12e - 2e) + (6 + 5)
= 10e + 11
in need of some help! rewrite the expression -6x^4y^3z^-7 so that there are no negative exponents
Answer:
[tex]-\frac{6x^4y^3}{z^7}[/tex]
Step-by-step explanation:
[tex]=-6x^4y^3\frac{1}{z^7}[/tex] <- Apply the exponent rule.
[tex]=-\frac{6x^4y^3\cdot \:1}{z^7}[/tex] <- Apply the fraction rule.
[tex]=-\frac{6x^4y^3}{z^7}[/tex]
Express each of the following in terms of power of 10: i. 10 ii 1000000 iii 90000
The numbers in terms of power of 10 is;
(i) [tex]10^{1}[/tex]
(ii) [tex]10^{6[/tex]
(iii) [tex]9 * 10^{4}[/tex]
Here,
Given numbers are;
i. 10
ii 1000000
iii 90000
We have to find in terms of power of 10.
What is Powers of a number?
The power of a number says how many times to use the number in a multiplication. Powers are also called Exponents or Indices.
Now,
Given numbers are;
i. 10
ii 1000000
iii 90000
We can write in terms of power of 10 as;
(i) 10 = [tex]10^{1}[/tex]
(ii) 1000000 = [tex]10^{6[/tex]
(iii) 90000 = [tex]9 * 10^{4}[/tex]
Hence, The numbers in terms of power of 10 is;
(i) [tex]10^{1}[/tex]
(ii) [tex]10^{6[/tex]
(iii) [tex]9 * 10^{4}[/tex]
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How do I solve
-1 2/3 - -5/6
Answer:
-7/6
Step-by-step explanation:
negative 5 over 6−
5
6
≈negative 0.833−0.833
Write and solve an equation to answer the question. The perimeter of the school crossing sing is 120 inches. What is the volume of s?
The value of the s for the school crossing sign is (s = 18).
What is defined as the perimeter?The total distance round the shape is described as its perimeter.
It is the length of every two-dimensional geometric shape's outline or boundary. Depending on the dimensions, the perimeters of differing results can be identical in size.The perimeter of a shape is the length covered by its boundary. As a result, the perimeter's units will be identical to the length's units. We can call perimeter one-dimensional. As a result, it can be measured in millimeters, kilometers, centimeters, and other units.The perimeter of school crossing board is 120 inches.
2s + s + s + ( s + 6 ) + ( s + 6 ) = 120 (perimeter)
6s + 12 = 120
6s = 120 – 12
6s = 108
s = 108/6
s = 18 units
Therefore, for the school crossing sign, the value of s is found as (s = 18) inches.
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The correct question is-
Write and solve an equation to answer the question. The perimeter of the school crossing sing is 120 inches. What is the value of s?
Which is the graph of f(x) = 100(0.7)x? On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100). Mark this and return
Answer:
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Which is the graph of the given function?
Here we have the exponential decay:
f(x) = 100*(0.7)^x
So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).
Now, if we evaluate in x = 0 we get:
f(0) = 100*(0.7)^0 = 100
Then it goes through the point (0, 100).
If we evaluate in x = 2, we get:
f(2) = 100*(0.7)^2 = 49
Then it also goes through the point (2, 49).
With all that in mind, the correct option is:
"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."
This year, Aaron has been recognized as the greatest artist. Amongst the 319 songs that he released, there were only 33 unpopular songs. However, his last year’s record had 394 songs and half of them were unpopular. How many popular songs did he release in these two years altogether?
Answer:
230
Step-by-step explanation:
This year: 319 total; 33 unpopular
Last year: 394 total; 197 unpopular
Total songs over both years 319 + 394 = 713
Total unpopular over both years 713 - 483 = 230
What is slope intercept form?
Answer:
Step-by-step explanation:
The equation of the line is written in the slope-intercept form, which is: y = mx + b, where m represents the slope and b represents the y-intercept. In our equation, y = 6x + 2, we see that the slope of the line is 6.
Hope this helps :)
Answer:
See below
Step-by-step explanation:
Slope intercept form for a line equation is :
y = m x + b m is the slope of the line
b is the y-axis intercept ( this occurs when x = 0)
The half-life of phosphorus-32 is about14 days. there are 6.6 grams present initially.a.express the amount of phosphorus-32 remaining as a functionof time t.b.when will there be 1 gram remaining?
a. The expression of the amount of phosphorus-32 remaining as a function of time t is A(t) = [tex]6.6\left(\frac{1}{2}\right)^{t / 14}[/tex].
b. The time when 1 gram remaining is 38.1145 days.
What is the half-life?The half-life is the amount of time it takes for half of a unstable nuclei to decay. Each substance has its own half-life.
Now, as per the question;
Exponential growth is given by the formula;
[tex]A(t)=A_0(1+r)^t[/tex]
Where,
A(t) = amount at time t.
A₀ = Initial amount of the nuclei (= 6.6)
r = rate of increasing( = -1/2; as decay is always negative)
t = time (= t/14)
Part a. Calculate the expression for the amount of phosphorus-32 remaining as a function of time t as-
Substituting all the values in the equation;
[tex]\begin{aligned}&A(t)=6.6\left(1+\left(-\frac{1}{2}\right)\right)^{t / 14} \\&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]
This is the requires expression.
Part b. Calculate the time there be 1 gram remaining as;
This time can be written as A(t) = 1.
Substitute the value in the equation.
[tex]\begin{aligned}&A(t)=6.6\left(\frac{1}{2}\right)^{t / 14} \\&1=6.6\left(\frac{1}{2}\right)^{t / 14}\end{aligned}[/tex]
[tex]\left(\frac{1}{2}\right)^{t / 14}=\frac{10}{66}[/tex]
Further solving;
t = 38.1145 days.
Thus, the time taken by phosphorus-32 to remain as 1 gram is 38.1145 days.
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write each expression as a power
5^8 x 25
3^13 x 27
6^15 x 36
2^9 x 32
Answer:
6703488×1810
9
Step-by-step explanation:
Write a multiplication sentence to match the number of groups.skip count to find the totals 3twos
Answer:
i have 3 and i do 3 times more.
Step-by-step explanation:
-letter words (repeated letters not allowed) can be formed from the alphabet if we require;(a) the 2nd letter to be a vowel (a, e, i, o, u)?(b) exactly one vowel?
(a) The 2nd letter to be a vowel (a, e, i, o, u) = 69000
(b) Exactly one vowel = 159600
What is a vowel ?An open sound is represented by a vowel, which is a letter. The English language has six vowels: a, e, I o, u, and occasionally y. Y can function as a consonant or a vowel depending on the context, as in the word story or yes. Vowels are a representation of open, frictionless vocal sounds.
4 letter word to be formed
Total Alphabets = 26
Repeated letters are not allowed
(a) 4 letter word, Consonant - C, vowel - V
Second letter to be a vowel
C or V = 25, V = 5, C or V = 24, C or V = 23
Number of word can form = 25 × 5 × 24 × 23 = 69000
(b) 4 letter word, in this exactly one vowel.
Number of words
V(5) × C(21) × C(20) × C(19)
C(21) × V(5) × C(20) × C(19)
C(21) × C(20) × V(5) × C(19)
C(21) × C(20) × C(19) × V(5)
Total number of words formed = 4 [5×21×20×19] = 159600
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Please help me with this question I'm so confused
Answer:
x is equal to 15.
Step-by-step explanation:
In this problem, it is said that ΔABC ~ ΔXYZ. This means that the shapes are the same, however they are not the same size. Here the problem is asking for the value of x when the triangle is scaled up.
Look on the triangles for where there are values on both ABC and XYZ. Notice that the hypotenuse for both triangles have a value.
The hypotenuse of triangle XYZ is 10, while the hypotenuse of triangle ABC is 25. Dividing both of those results by 10 results in a 1:2.5 ratio, meaning that the values of triangle ABC are 2.5 times larger than the values of triangle XYZ.
Knowing this, take the value of XZ on triangle XYZ, and multiply it by 2.5 to get the value of AC on triangle ABC, or x.
6 * 2.5 = 15
The value of x is 15.
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar that means that the sides are proportional. There are a couple of ways to find x. One way is to find the scale factor. We can use the two corresponding sides that we know. 25 and 10 are corresponding sides. They are both the hypotenuse of their triangles or you can say that they are both the side across from the 90 degree angle.
There is some number that I can multiple 10 by to get 25. This is my scale factor. This is how I can find it.
Let s = the scale factor.
10s = 25 Divide both sides of the equation by 10
s = 2.5 This means that each side of the larger triangle is 2.5 times longer than each side of the original triangle.
To find x. Find is corresponding side on the right and take that length and multiple it by 2.5
6 x 2.5 = 15
Another way is to set up a proportion.
[tex]\frac{10}{6}[/tex] = [tex]\frac{25}{x}[/tex] I could cross multiply and solve for x
10x = (6)(25)
10x = 150 Divide both sides by 10
x = 15