Answer:
R= diameter ÷ 2
Step-by-step explanation:
the radius is half the diameter.
A survey of enrollment at 35 community colleges across the United States yielded the following figures:
6414; 1550; 2109; 9350; 21828; 4300; 5944; 5722; 2825; 2044; 5481; 5200; 5853; 2750; 10012; 6357; 27000; 9414; 7681; 3200; 17500; 9200; 7380; 18314; 6557; 13713; 17768; 7493; 2771; 2861; 1263; 7285; 28165; 5080; 11622
a. Organize the data into a chart with five intervals of equal width. Label the two columns "Enrollment" and "Frequency."
b. Construct a histogram of the data.
c. If you were to build a new community college, which piece of information would be more valuable: the mode or the mean?
d. Calculate the sample mean.
e. Calculate the sample standard deviation.
f. A school with an enrollment of 8000 would be how many standard deviations away from the mean?
Answer: (a) The chart is in the first attachment named table frequency.
(b) The histogram is in the second attachment named frequency vs. enrollment
(c) Mode
(d) x = 9071.4
(e) s = 6677.64
(f) It is -0.16 standard deviation away
Step-by-step explanation:
(c) Mode is the number in the data set which appears more often. When thinking about builiding a new community college, if you choose mode will have which college enrollment will appear more often, i.e., which courses have more students wanting to enroll.
(d) To calculate sample mean of a frequency data:
1) Find the midpoint for each interval;
2) Multiply each midpoint for its correspondent frequency;
3) Sum up each multiplication obtained in the previous step;
4) Sum up all the frequencies;
5) Divide the sum in step 3 by the sum in step 4;
For this chart:
x = [tex]\frac{3000.10+7500.16+12500.3+17500.3+22500.1+27500.2}{35}[/tex]
x = 9071.4
(e) To find the standard deviation:
1) With each midpoint, calculate its square;
2) Multiply the midppoint square by its correspondent frequency;
3) Use the following formula to determine the sample standard:
s = √∑f.M² - n(μ)² / n-1
For this chart:
s = [tex]\sqrt{\frac{4396250000 - 35*(9071.4)^{2}}{34} }[/tex]
s = 6677.64
(f) To find how many standard deviations away is the enrollment:
z = [tex]\frac{8000-9071.4}{6677.64}[/tex]
z = - 0.16
8000 enrollments are -0.16 standard deviations away from the mean.
Can somebody help me with this math question?
Answer:
8s^3
Step-by-step explanation:
In the question it says, triple the product which typically means triple using exponents. It is asking for you to do 8s x 8s x 8s or 8s to the power of 3
a zero dimensional object that defines a specific location on a plan
Answer:
This is correct! Great Job!
Ted's Takeout sells 5 kinds of sandwiches: BLT, chicken salad, tuna salad,
ham, and grilled eggplant. There are 3 kinds of bread: wheat, rye, and
pumpernickel. How many different sandwich and bread combinations can
Ted make?
Answer:
he can make 15 combinations
Step-by-step explanation:
Planes A and B both intersect plane S. Vertical plane S intersects horizontal plane A and horizontal plane B. Plane S and plane A intersect at line f. Line f contains points N and K. Plane S and plane B intersect at line g. Line g contains points P and Q. Line d intersects plane A at point L. Which statements are true based on the diagram? Select three options.
Answer:
first second third
Step-by-step explanation:
Answer:
A,B,C
Step-by-step explanation:
I took the course
A farmer divided his land into 2 groups of sections randomly. There is no difference in the quality of the soil between the 2 groups of land. He used Type A seeds in the first group and Type B seeds in the second group. After 3 months, the heights of the crops are measured across the two groups of land sections. Is the study observational or experimental? If it is an experiment, what is the controlled factor?
Answer:
Experiment
Time..
Step-by-step explanation:
It is an experimental study. An experimental study is a type of study in which all conditions are under the control of the researcher.
The control factor in this case may includes the time...before measurements.
Here we must answer different things about the experiment that the farmer performed. We will see that this is an experiment and the controlled factors are:
Quality of the soil.Wheater.Hours of daylight.What he did is divide his land in two equal parts, and then use different types of seeds in each one of the two parts.
After 3 months, he measures the height of the crops.
The questions are:
Is the study observational or experimental?
It is experimental, because the farmer assigned two areas and he decided what type of seed went into each area.
If it is an experiment, what are the controlled factor?
The controlled factors are the things that are the same for both of the groups of sections and that are relevant for the growth of the seeds. These things are:
Quality of the soil.Wheater.Hours of daylight.If you want to learn more about experiments, you can read:
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what is 18576939*47 Thanks!!!!!
Answer:
873116133
Step-by-step explanation:
18576939 × 47
Multiply the numbers.
= 873116133
Answer: 873116133
Step-by-step explanation:
‘Hope this helps:)
Which one doesn’t belong? Why? Explain. please help me
Hi! So, the one that doesn't belong is a) y = 4x.
I think that this doesn't belong because every other option has a number after the variable (I forget the exact term for it but it's like +7, +4, and -1 for the rest of the options)
Please let me know how I can further help you :)
(
Answer:
I think the answer is y = -2x + 4 because that is the only one that has a negative slope. The other choices all have positive slopes.
Suppose that early in an election campaign, a telephone poll of 800 registered voters shows that 460 favor a particular candidate. Just before Election Day, a second poll shows that 520 of 1,000 registered voters now favor that candidate. At the 0.05 significance level, is there sufficient evidence that the candidate's popularity has changed?
Answer:
Yes. At the 0.05 significance level, there is enough evidence to support the claim that the proportion that support the candidate has significantly changed.
Step-by-step explanation:
This is a hypothesis test for the difference between proportions.
The claim is that the proportion that support the candidate has significantly changed.
Then, the null and alternative hypothesis are:
[tex]H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2\neq 0[/tex]
The significance level is 0.05.
The sample 1, of size n1=800 has a proportion of p1=0.58.
[tex]p_1=X_1/n_1=460/800=0.58[/tex]
The sample 2, of size n2=1000 has a proportion of p2=0.52.
[tex]p_2=X_2/n_2=520/1000=0.52[/tex]
The difference between proportions is (p1-p2)=0.05.
[tex]p_d=p_1-p_2=0.58-0.52=0.05[/tex]
The pooled proportion, needed to calculate the standard error, is:
[tex]p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{464+520}{800+1000}=\dfrac{980}{1800}=0.54[/tex]
The estimated standard error of the difference between means is computed using the formula:
[tex]s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.54*0.46}{800}+\dfrac{0.54*0.46}{1000}}\\\\\\s_{p1-p2}=\sqrt{0.00031+0.000248}=\sqrt{0.000558}=0.02[/tex]
Then, we can calculate the z-statistic as:
[tex]z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.05-0}{0.02}=\dfrac{0.05}{0.02}=2.33[/tex]
This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):
[tex]\text{P-value}=2\cdot P(z>2.33)=0.02[/tex]
As the P-value (0.02) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that the proportion that support the candidate has significantly changed.
a rectangle has a length that is 5 inches grater than is width and is area is 104 square inches, The equation (x+5) x=104 represent the situation, where x represents the width of the retangle
Answer:
width = 8 inches; length = 13 inches
Step-by-step explanation:
(x + 5)x = 104
x^2 + 5x - 104 = 0
(x - 8)(x + 13) = 0
x - 8 = 0 or x + 13 = 0
x = 8 or x = -13
Since the width of a rectangle cannot be a negative number, we discard the answer x = -13.
x = 8
The width is 8 inches.
The length is 8 + 5 = 13.
The length is 13 inches.
A club has 20 women and 17 men and needs to form a committee of six members. How many committees are possible if the committee must have at least two men?
Answer:
2,022,456 committees
Step-by-step explanation:
From the above question, we are given the following information:
Number of women = 20
Number of men = 17
In order to form a committee of six members with at least 2 men, the number of ways we can do this is 5 ways and they are:
a) A committee of 6 men
b) A committee of 5 men and 1 woman
c) A committee of 4 men and 2 women
d) A committee of 3 men and 3 women
e) A committee of 2 men and 4 women
To solve for this we use the combination formula which is given as:
C(n, r) = nCr = n!/r!(n - r)!
Hence, the number of committees that are possible if the committee must have at least two men is calculated as
A committee of 6 men or A committee of 5 men and 1 woman or A committee of 4 men and 2 women or A committee of 3 men and 3 women or A committee of 2 men and 4 women
=[C(17, 6)]+ [C(17,5) × C(20,1)] + [C(17,4) × C(20,2)] + [C(17,3) × C(20,3)] + [C(17,2) × C(20,4)]
= [17!/6!(17 - 6)!] + [17!/5!(17 - 5)! × 20!/1!(20 - 1)!] + [17!/4!(17 - 4)! × 20!/2!(20 - 2)!] + [17!/3!(17 - 3)! × 20!/3!(20 - 3)!] + [17!/2!(17 - 2)! × 20!/4!(20 - 4)!]
= [12376] + [ 6188 × 20] + [2380 × 190] + [680 × 1140] + [ 136 ×4845]
= 2,022,456 committees
Which of the following statements best describes the transverse axis of a
hyperbola?
Please answer quickly! 12 points and will give brainliest answer!
Answer:
The transverse axis of a hyperbola equals the difference between the distances from any point on the hyperbola to each focus. Which is expressed in answer "C" in your list of possible answers.
Step-by-step explanation:
In fact, the definition of hyperbola is that of all point on the plane whose difference between their distance to each focus is a constant.
That constant can be determined in particular when one considers the distance to the actual vertex of the hyperbola (which is on the transverse axis) and whose distance to one of the focii is equal to the transverse axis plus the distance from the vertex to the focus, and from which needs to be subtracted the distance from the vertex to the focus, resulting then in exactly the transverse axis.
Answer:
C is right
I took the test
Use the slider to change the value of b. Which statement is true? If the value of b is increased from 0, the graph moves up. If the value of b is increased from 0, the graph gets less steep. If the value of b is decreased from 0, the graph moves up. If the value of b is decreased from 0, the graph gets steeper.
Answer:
A. if the value of b is increased from 0, the graph moves up.
Step-by-step explanation:
got it right on edge 2021
Answer:
its a guys!
Step-by-step explanation:
Random walk. A Java programmer begins walking aimlessly. At each time step, she takes one step in a random direction (either north, east, south, or west), each with probability 25%. She stops once she is at Manhattan distance r from the starting point. How many steps will the random walker take
Step-by-step explanation:
Hi, your question isn't totally complete. Here's the likely full question:
Random walk. A Java programmer begins walking aimlessly. At each time step, she takes one step in a random direction (either north, east, south, or west), each with probability 25%. She stops once she is at Manhattan distance r from the starting point. How many steps will the random walker take? This process is known as a two-dimensional random walk.
Write a program RandomWalker.java that takes an integer command-line argument r and simulates the motion of a random walk until the random walker is at Manhattan distance r from the starting point. Print the coordinates at each step of the walk (including the starting and ending points), treating the starting point as (0, 0). Also, print the total number of steps taken.
What is the value of Negative 4 squared + (5 minuses 2) (negative 6)? –34 –2 10 34
Answer: See below
*Note: I was not sure is -4² was -4² or (-4)². I have done the problem both ways. You should see the problem you are supposed to solve by looking at the 2 different equations below.
Step-by-step explanation:
The problem states -4²+(5-2)(-6). Now, this can be interpreted in another way. The key is the -4². This can also be (-4)². You get a completely different answer. Since the problem seemed like the first option, I will still do it both ways to make sure you can see the difference. If you meant (-4)², then you would still get an explanation.
-4²+(5-2)(-6)
-16+(3)(-6)
-16+(-18)
-34
_________________________________________________________
(-4)²+(5-2)(-6)
16+(3)(-6)
16+(-18)
-2
As you can see, both answers are very different. The -4 matters whether there are parentheses or not.
What is the solution to the equation -3(h+5) + 2 = 4(h+6)-9?
n = 4
n=-2
n=2
n=4
-3(h+5) + 2 = 4(h+6) -9
-3h-5 + 2 = 4h+24 -9
-3h-4h = 24-9+5-2
-7h = 18
h = -18 = -2.57
7
Please answer this correctly
Answer:
0
Step-by-step explanation:
3 cards
P( odd) = 1 odd/ 3 cards = 1/3
No replacement
2 cards 6,8
No odds
P( odd) = 0/2
P( odd, no replacement, odd) = 1/2 * 0 = 0
FOR BRAINLIEST ANSWER IF CORRECT The production supervisor finds that it takes 3 hours to manufacture a particular office chair and 6 hours to manufacture a particular office desk. A total of 1200 hours is available to produce office chairs and desks of this style. The linear equation that models this situation is 3x + 6y = 1200, where x represents the number of chairs produced and y represents the number of desks produced. (Do you see why?)
Answer:
[tex]3x + 6y = 1200[/tex] is the correct linear equation.
Step-by-step explanation:
Given:
Time taken to manufacture an office chair = 3 hours
Number of office chairs produced = [tex]x[/tex]
Time taken to manufacture an office desk = 6 hours
Number of office desks produced = [tex]y[/tex]
Let us calculate, Total Time taken to manufacture [tex]x[/tex] chairs.
Suppose we manufacture 2 chairs, time taken = 3 hours + 3 hours i.e. = 6 hours
Suppose we manufacture 3 chairs, time taken = 3 hours + 3 hours + 3 hours i.e. = 9 hours
Now, we are manufacturing [tex]x[/tex] number of chairs so we have to add 3 for [tex]x[/tex] number of times:
OR
simply multiply 3 with [tex]x[/tex].
i.e. Total time taken in producing [tex]x[/tex] chairs = 3[tex]x[/tex] hours
Similarly Total time taken in producing [tex]y[/tex] desks = 6[tex]y[/tex] hours
We have a total of 1200 hours to produce this type of office chairs and desks:
So, 1200 = Total time taken in producing [tex]x[/tex] chairs + Total time taken in producing [tex]y[/tex] desks
Putting the values, we get the following:
[tex]3x+6y=1200[/tex] is the correct linear equation for the situation.
find the unit rate? 1 1/2 miles in 3/4 hour
Answer:
2 miles per hour
Step-by-step explanation:
We want to take the miles and divide by the hours
1 1/2 ÷ 3/4
Changing to an improper fraction
3/2÷3/4
Copy dot flip
3/2 * 4/3
3/3 * 4/2
2
2 miles per hour
What is the 20th digit after the decimal point of the sum of the decimal equivalents for the fractions $\frac{1}{7}$ and $\frac{1}{3}$?
Answer:
7
Step-by-step explanation:
1/7+1/3= 3/21+7/21= 10/21= 0.476190
the 6 digits after the decimal point get repeated
6*3= 18- three full cycles and the second digit after 3 cycles = 7 so the 20th digit is 7
This person was correct.
Answer:
7
Step-by-step explanation:
1/7+1/3= 3/21+7/21= 10/21= 0.476190
the 6 digits after the decimal point get repeated
6*3= 18- three full cycles and the second digit after 3 cycles = 7 so the 20th digit is 7
if C=(a,b,x,y) and D=(m,n,o,p) then c union d is
Step-by-step explanation:
here,
C={ a,b,x,y}
D ={ m,n,o,p}
now,
C union D ={a,b,x,y} union {m,n,o,p}
= {a,b,x,y,m,n,o,p}
therefore C union D ={ a,b,x,y,m,n,o,p}
hope u get it...
factor the polynomial expression x^4+18x^2+81
Answer:
Step-by-step explanation:
Hello,
please consider the following
[tex]x^4+18x^2+81=(x^2)^2+2*(3^2)x^2+(3)^4\\\\=(x^2+9)^2[/tex]
hope this helps
Answer: The answer is shown in the picure
How would I Evaluate 8×5÷10?
Answer:
4
Step-by-step explanation:
8×5÷10
PEMDAS says multiply and divide from left to right
40÷10
4
Answer:
4
Step-by-step explanation:
Follow the PEMDAS order of operations
8*5=40
40÷10=4
=4
OR
8x5÷10
8x0.5=4
=4
Have a good day and stay safe!
A tabletop has an area of 12 square feet and a perimeter of 16 ft. What are the dimensions of the table? 2 ft by 6 ft 2 ft by 8 ft 4 ft by 3 ft 4 ft by 4 ft
Answer:
2 ft by 6
Step-by-step explanation:
The dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Since, the area of a rectangle is:
Area = length x width
We know that the area of the table is 12 square feet,
So, we can write:
12 = length x width
And, use the formula for the perimeter of a rectangle:
Perimeter = 2 x length + 2 x width
We know that the perimeter of the table is 16 feet, so we can write:
16 = 2 x length + 2 x width
Now we have two equations with two variables (length and width), which we can solve simultaneously as.
Let's rearrange the second equation to solve for length:
16 = 2 x length + 2 x width
16 - 2 x width = 2 x length
8 - width = length
Now we can substitute this expression for length into the first equation:
12 = length x width
12 = (8 - width) x width
12 = 8w - w²
We can rearrange this equation into standard quadratic form:
w² - 8w + 12 = 0
Now we can use the quadratic formula:
where a = 1, b = -8, and c = 12
w = (-(-8) ± √((-8)² - 4(1)(12))) / 2(1)
w = (8 ± √(16)) / 2
w = 4 ± 2
Hence, w = 2
w = 6
So the possible values for the width are 2 and 6.
If the width is 2 feet, then the length is:
length = 8 - width = 6 feet
If the width is 6 feet, then the length is:
length = 8 - width = 2 feet
Therefore, the dimensions of the table are either 2 feet by 6 feet or 6 feet by 2 feet.
Learn more about the rectangle visit:
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what is 2 3/7- 5 6/7
Answer:
-24/7please see the attached picture for full solution...
Hope this helps...
Good luck on your assignment..
Which type of energy refers to the sum of potential and kinetic energies in the particles of a substance?
Answer:internal
Step-by-step explanation:
Answer:
internal
Step-by-step explanation:
took the test
Evaluate. Write your answer as a fraction or whole number without exponents. 3^–4 =
Answer:
1/81.
Step-by-step explanation:
3^-4 = 1 /3^4
= 1/81.
Find the value of
3y when y= -7
Answer:
-21
Step-by-step explanation:
3×(-7) = - 21
Three times minus seven equals minus twenty one.
Answer:
Step-by-step explanation:
y = -7
3y = 3 * -7
= (-21)
In geometry the set of all points is called ---- ?
Answer:
it may be locus. because is a set of point and line is formed the locus of points.
In geometry, the set of all points is called space.
What are collinear points?In Mathematics and Geometry, collinear points can be defined as three or more points that all lie on the same straight line (single line). This ultimately implies that, two (2) planes intersect at a line.
For example, we can infer and logically conclude that a sphere would have all points in space that are 4 units from a point.
Generally speaking, the set of all points is referred to as a space in geometry.
Read more on collinear points here: brainly.com/question/24391959
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QUESTION 10
1 POINT
Karen wants to estimate the mean number of siblings for each student in her school. She records the number of siblings for
each of 200 randomly selected students in the school. What is the sample?
Select the correct answer below:
O the 200 randomly selected students
the specific number of siblings for each randomly selected student
O all the students in the school
the mean number of siblings for the randomly selected students
O the mean number of siblings for all students in the school
B FEEDBACK
Content attribution
The correct answer is A. The 200 randomly selected students
Explanation:
In most studies, the complete population is not surveyed or studied instead, a specific number of individuals are selected, this group is known as the sample. Additionally, the sample represents the population, and due to this, their answers are used to make inferences about all the population.
According to this, the population is all the students in the school, while the sample is the 200 randomly selected students because this is the group that is going to be studied to make conclusions and inferences about all the population.
Answer:
(a)
Step-by-step explanation: