Answer:
the moon blocks light from the sun by coming between the earth and the sun
If the mean of a symmetric distribution is 60, which of these values could be
the median of the distribution?
A. 100
B. 60
C. 80 As
D. 30
SUBMIT
Answer:
i think ...
Step-by-step explanation:
symmetric distribution usually be a bell shape distribution .
most likely the median = mean = 60
The required value of 60 could be the median of the distribution. Option B is correct.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
What is the median?When a dataset is ordered, the median is the value that is exactly in the middle. It is a measure of central tendency that distinguishes between the lowest and top 50% of data.
Here,
The mean of a symmetric distribution is 60.
Since for the symmetric data and rational data, the mean is equal to the median,
So Mean = Median
Median = 60
Thus, the required value of 60 could be the median of the distribution.
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The senior classes at Snellville High and General High planned separate trips to the water park. The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students. General High rented and filled 14 vans and 12 buses with 738 students. How many students would fill 2 buses and 3 vans?
Answer:
133 Students
Step-by-step explanation:
Let the number of student in a van=v
Let the number of student in a bus=b
The senior class at Snellville rented and filled 12 vans and 14 buses with 796 students.
Therefore: 12v+14b=796
General High rented and filled 14 vans and 12 buses with 738 students.
Therefore: 14v+12b=738
We solve the two resulting equations simultaneously
12v+14b=796
14v+12b=738
Multiply equation 1 by 12 and equation 2 by 14 to eliminate b
144v+168b=9552
196v+168b=10332
Subtract
-52v=-780
Divide both sides by -52
v=15
We substitute v=15 to obtain b in any of the equations
12v+14b=796
12(15)+14b=796
14b=796-180
14b=616
Divide both sides by 14
b=44
Therefore a bus contains 44 Students and a Van contains 15 students.
Number of Students who would fill 2 buses and 3 vans
=2b+3v
=2(44)+3(15)
=133 Students
What is the image of (1,0) after a counterclockwise rotation of 60 degrees?
Answer:
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
Step-by-step explanation:
The coordinate has the following polar form:
[tex]\vec r = (1, 0^{\circ})[/tex]
The image of the coordinate rotated counterclockwise 60° is:
[tex]\vec s = (1, 60^{\circ})[/tex]
Its equivalent form in rectangular coordinates is:
[tex]\vec s = (1\cdot \cos 60^{\circ}, 1 \cdot \sin 60^{\circ})[/tex]
[tex]\vec s = \left(\frac{1}{2},\frac{\sqrt{3}}{2} \right)[/tex]
If three points of a parallelogram are A (-5, -2), B (1,5), C (7.1). Which of the
following is the fourth point D of parallelogram ABCD?
(13,8)
(13.-6)
(1. -2)
(1,-6)
Hi guys, Can anyone help me with this tripple integral? Thank you:)
I don't usually do calculus on Brainly and I'm pretty rusty but this looked interesting.
We have to turn K into the limits of integration on our integrals.
Clearly 0 is the lower limit for all three of x, y and z.
Now we have to incorporate
x+y+z ≤ 1
Let's do the outer integral over x. It can go the full range from 0 to 1 without violating the constraint. So the upper limit on the outer integral is 1.
Next integral is over y. y ≤ 1-x-z. We haven't worried about z yet; we have to conservatively consider it zero here for the full range of y. So the upper limit on the middle integration is 1-x, the maximum possible value of y given x.
Similarly the inner integral goes from z=0 to z=1-x-y
We've transformed our integral into the more tractable
[tex]\displaystyle \int_0^1 \int_0^{1-x} \int _0^{1-x-y} (x^2-z^2)dz \; dy \; dx[/tex]
For the inner integral we get to treat x like a constant.
[tex]\displaystyle \int _0^{1-x-y} (x^2-z^2)dz = (x^2z - z^3/3)\bigg|_{z=0}^{z= 1-x-y}=x^2(1-x-y) - (1-x-y)^3/3[/tex]
Let's expand that as a polynomial in y for the next integration,
[tex]= y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3[/tex]
The middle integration is
[tex]\displaystyle \int_0^{1-x} ( y^3/3 +(x-1) y^2 + (2x+1)y -(2x^3+1)/3)dy[/tex]
[tex]= y^4/12 + (x-1)y^3/3+ (2x+1)y^2/2- (2x^3+1)y/3 \bigg|_{y=0}^{y=1-x} [/tex]
[tex]= (1-x)^4/12 + (x-1)(1-x)^3/3+ (2x+1)(1-x)^2/2- (2x^3+1)(1-x)/3[/tex]
Expanding, that's
[tex]=\frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1)[/tex]
so our outer integral is
[tex]\displaystyle \int_0^1 \frac{1}{12}(5 x^4 + 16 x^3 - 36 x^2 + 16 x - 1) dx[/tex]
That one's easy enough that we can skip some steps; we'll integrate and plug in x=1 at the same time for our answer (the x=0 part doesn't contribute).
[tex]= (5/5 + 16/4 - 36/3 + 16/2 - 1)/12[/tex]
[tex]=0[/tex]
That's a surprise. You might want to check it.
Answer: 0
Write the fraction from least to greatest: 1/8, 1/3, 1/8
Answer:
Start with making them equal.
1/8 --> 3/24
1/8 --> 3/24
1/3 --> 8/24
Now order them.
1/8, 1/8, 1/3.
Hope this helps ;)
Choose the equation that best fits the following graph.
Answer:
c. y = 3.25^x
Step-by-step explanation:
At x=1, the value of y is slightly more than 3, so the base must be more than 3. The appropriate choice is ...
y = 3.25^x
There are k students in the class. m of them are girls. How many boys are in the class? How many more boys than girls are there? HELP
Answer:
[tex]k-m=b[/tex]
[tex]b-m=diff[/tex]
Step-by-step explanation:
If there are total of k students in a class, and m of those students are girls, the total amount of boys would be:
[tex]k-m=b[/tex]
(Where k, m, b are variables that represent the total number of students, the amount of girls and the amount of boys respectively)
As the amount of girls subtracted from the total amount would leave you with the amount of boys.
There would be:
[tex]b-m[/tex] more boys than girls.
If there were 10 total students in the class and 3 of those students were girls, lets use our above equations to see if they are correct - and if we get the expected amounts of:
7 boys in the class, and 4 more boys than there are girls.
[tex]k-m=b\\10-3=7\\7=7[/tex]
This is correct, as we expected this amount.
[tex]b-m=diff\\7-3=4[/tex]
The difference between them is 4, so this is correct.
Who’s good on algebra 1 ? Need help
Answer:
Which expression is equivalent to 3 over 175
I would say try - C or D
Please help ASAP! Will give BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
x > 25
Step-by-step explanation:
x+25> 50
Subtract 25 from each side
x+25-25 >50-25
x > 25
Answer:
x>25
Step-by-step explanation:
x+25>50
1. Subtract 25 from both sides of the equation
x+25>50
-25 -25
x>25
Which of the following values of n will result in a true statement when substituted into the given equation? 4n + 9 = 1 A. n = -2 B. n = 2 C. n = 3 D. n = 4
Answer:
A. n = -2
Step-by-step explanation:
A. n = -2
4(-2) + 9 = 1
-8 + 9 = 1
1 = 1
The value of n for which the statement of equation 4n + 9 = 1 holds true is n = -2.
Given an equation:
4n + 9 = 1
There are some given options for the value of n.
It is required to find the value of n, where the statement is true.
A) When n = -2:
4n + 9 = 4(-2) + 9
= 1
B) When n = 2:
4n + 9 = 4(2) + 9
= 17
C) When n = 3:
4n + 9 = 4(3) + 9
= 21
D) When n = 4:
4n + 9 = 4(4) + 9
= 25
Hence the true statement is when n = -2.
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If the fish tanks dimension are 60 by 15 by 34 and its is completely empty, what volume of water is needed to fill three fourths of the aquarium? Please help
Answer:
22,950 units³
Step-by-step explanation:
All you have to do is:
[tex]\frac{3}{4} *60*15*34=\\45*15*34=\\675*34=\\\\22,950[/tex]
Ming throws a stone off a bridge into a river below.
The stone's height (in meters above the water), xxx seconds after Ming threw it, is modeled by:
h(x)=-5(x-1)^2+45h(x)=−5(x−1)
2
+45h, left parenthesis, x, right parenthesis, equals, minus, 5, left parenthesis, x, minus, 1, right parenthesis, squared, plus, 45
How many seconds after being thrown will the stone reach its maximum height?
Answer:
1 seconds after being thrown, the stone reaches its max height
Step-by-step explanation:
Answer:1 Seconds Is wrong the correct answer is 2
Step-by-step explanation:
Khan said so
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Some shrubs have the useful ability to resprout from their roots after their tops are destroyed. Fire is a particular threat to shrubs in dry climates, as it can injure the roots as well as destroy the aboveground material. One study of resprouting took place in a dry area of Mexico. The investigation clipped the tops of samples of several species of shrubs. In some cases, they also applied a propane torch to the stumps to simulate a fire. Of 19 specimens of a particular species, 6 resprouted after fire. Estimate with 96% confidence the proportion of all shrubs of this species that will resprout after fire. Interval: .1884 to
The 96% confidence interval for the proportion of all shrubs of this species that will resprout after fire is approximately 0.1274 to 0.5042.
Here, we have,
To estimate the proportion of all shrubs of this species that will resprout after fire with 96% confidence, we will use the formula for a confidence interval for a proportion.
The formula for the confidence interval for a proportion (p) is given by:
CI = p ± Z * √(p * (1 - p) / n)
where:
CI is the confidence interval
p is the sample proportion (resprouted specimens / total specimens)
Z is the critical Z-score corresponding to the desired confidence level (96% confidence level corresponds to a Z-score of approximately 1.750)
n is the sample size (total number of specimens)
Given information:
Total number of specimens (n) = 19
Number of specimens that resprouted after fire = 6
Now, calculate the sample proportion (p):
p = (number of specimens that resprouted) / (total number of specimens)
p = 6 / 19 ≈ 0.3158 (rounded to four decimal places)
Now, calculate the critical Z-score for a 96% confidence level (use a Z-table or calculator):
Z ≈ 1.750
Now, calculate the margin of error (E):
E = Z * √(p * (1 - p) / n)
E = 1.750 * √(0.3158 * (1 - 0.3158) / 19)
E ≈ 0.1884 (rounded to four decimal places)
Finally, calculate the confidence interval:
CI = p ± E
CI = 0.3158 ± 0.1884
The 96% confidence interval for the proportion of all shrubs of this species that will resprout after fire is approximately 0.1274 to 0.5042.
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profit 75% retail $350. what is cost at wholesale
Answer:
Step-by-step explanation:
350-75%=87.5\\so 350-87.5\\=262.5\\$262.5 dolla profit\\
Can someone explain it to me please(? C:
I don’t know how to solve the problem when there’s two different variables next to each other.
Answer:
11
Step-by-step explanation:
just put the values in for the variables
5(3)(1) - 4(1)
15(1) - 4(1)
15 - 4
11
(Brainliest pleaseee)
Which expression represents the following calculation subtract 32 from the product of 48 and 15
Answer:
x times y- q
Step-by-step explanation:
You can use the letters they give you on the answer choices. My answer makes sense because you multiply 48 times 15 and then subtract 32 from it
A box of chocolates contains five milk chocolates and six dark chocolates. Mike randomly picks a chocolate and eat it. Then Mike randomly picks another chocolate and eats it. Determine the probability Mike eats two milk chocolates. Round to the hundredths place.
Group of answer choices
0.182
0.854
0.133
0.333
Answer:
0.182.
Step-by-step explanation:
There are a total of 11 chocolates in the box.
Prob(First chocolate picked is milk) = 5/11.
Prob(Second chocolate picked is milk) = 4/10 = 2/5.
So the required probability = 5/11 * 2/5
= 10/55
= 0.182.
if 8% is deducted from the bill,$384 bill remains to be paid. How much is the original bill?
Answer:
$353.28
Step-by-step explanation:
Talia is going to put a new carpet in her house. She measure's one side of her living room and finds it measures 17 meters which measurement does 17 meters represent
The answer in length
The length is used to measure the distance between to end points or edges. so 17 meters measurement represent the length.
What is perimeter?Its the sum of length of the sides used to made the given figure.
Talia is going to put a new carpet in her house. She measure's one side of her living room and finds it measures 17 meters.
Area is what is on the inside.
The perimeter is the outside of the hole thing.
Hence, the length is used to measure the distance between to end points or edges.
so 17 meters measurement represent the length.
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The correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. Suppose we use the height x of a child to predict the weight y of the child. We conclude that:
a. the least-squares regression line of y on x would have a slope of 0.8. about 80% of the time, age will accurately predict weight.
b. height is generally 80% of a child’s weight.
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
Answer:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
The value of r is always between [tex]-1 \leq r \leq 1[/tex]
And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:
[tex]r^2 = 0.8^2 = 0.64[/tex]
So then the best conclusion for this case would be:
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
Step-by-step explanation:
For this case we know that the correlation between the height and weight of children aged 6 to 9 is found to be about r = 0.8. And we know that we use the height x of a child to predict the weight y of the child
We need to rememeber that the correlation is a measure of dispersion of the data and is given by this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
The value of r is always between [tex]-1 \leq r \leq 1[/tex]
And we have another measure related to the correlation coefficient called the R square and this value measures the % of variance explained between the two variables of interest, and for this case we have:
[tex]r^2 = 0.8^2 = 0.64[/tex]
So then the best conclusion for this case would be:
c. the fraction of variation in weights explained by the least-squares regression line of weight on height is 0.64.
Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a-1) Find the test statistic. (Round your answer to 4 decimal places.) The test statistic (a-2) At the .01 level of significance, is the true mean greater than 10
Answer:
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ ≤ 10
For the alternative hypothesis,
µ > 10
The inequality sign indicates that It is a right tailed.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 35,
Degrees of freedom, df = n - 1 = 35 - 1 = 34
t = (x - µ)/(s/√n)
Where
x = sample mean = 14.44
µ = population mean = 10
s = samples standard deviation = 4.45
t = (14.44 - 10)/(4.45/√35) = 5.9
We would determine the p value using the t test calculator. It becomes
p < 0.00001
Since alpha, 0.01 > than the p value, then we would reject the null hypothesis. Therefore, At a 1% level of significance, we can conclude that the true mean is greater than 10.
The following data points represent the number of classes that each teacher at Broxin High School teaches.
Sort the data from least to greatest.
Find the interquartile range (IQR) of the data set.
57511945346
Answer:
IQR= 3
Step-by-step explanation:
Hello!
The data represents the number of classes taught by each teacher at Broxin High School.
To calculate the IQR you have to do the following steps:
1) Arrange the data from least to greatest:
Raw data: 5, 7, 5, 1, 1, 9, 4, 5, 3, 4, 6
Arranged: 1, 1, 3, 4, 4, 5, 5, 5, 6, 7, 9
2) Calculate the 1st Quartile (Q₁):
The first quartile divides the bottom 25% of the data from the top 75%, to know which value of the data set corresponds to it you have to calculate its position:
PosQ₁= (n+1)/4= (11+1)/4= 3
This means that the 1st quartile corresponds to the 3rth observation:
1, 1, 3, 4, 4, 5, 5, 5, 6, 7, 9
Q₁= 3
3) Calculate the 3rd Quartile (Q₃)
The third quartile divides the bottom 75% of the data from the top 25%, as before, you have to calculate its position and then identify the value in the data set.
PosQ₃= (n+1)*(3/4)= (11+1)*(3/4)= 9
The third quartile corresponds to the 9th observation:
1, 1, 3, 4, 4, 5, 5, 5, 6, 7, 9
Q₃= 6
4) Interquartile range (IQR)
The IQR shows you the distance where the middle 50% of the data set is.
IQR= Q₃-Q₁= 6-3 = 3
I hope this helps!
Choose the property of addition. ( 5 + 3 ) + 8 = 5 + ( 3 + ? )
A. associate property of addition
B. Commutative property of addition
C. Distributive property
D. Identity property of addition
Answer:
A. associative property of addition
Step-by-step explanation:
Associative because you can add or multiply those regardless of how the numbers are grouped.
I hope this helped and have a good rest of your day!
Answer:
Associative Property of Addition
Step-by-step explanation:
This property states that the sum of 3 or more numbers stays the same, no matter how they are grouped.
Hope this helped. Have an awesome day!
A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of
adults. There are half as many adults as there are children. If the total ticket sales was $ 2808, How many children,
students, and adults attended?
Answer:
The attendance was 198 children, 90 students and 99 adults.
Step-by-step explanation:
We define:
c: children attendance
s: students attendance
a: adult attendance
The equation that describes the total ticket sales is:
[tex]5c+7s+12a=2808[/tex]
We also know that the children attendance doubles the adult attendance:
[tex]c=2a[/tex]
The third equation is the seating capacity, which we assume is full:
[tex]c+s+a=387[/tex]
We start by replacing variables in two of the equations:
[tex]c=2a\\\\s=387-c-a=387-2a-a=387-3a[/tex]
Then, we solve the remaining equation for a:
[tex]5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99[/tex]
Then, we solve for the other two equations:
[tex]c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90[/tex]
The attendance was 198 children, 90 students and 99 adults.
F=440(2)h/12 where h is 6
Answer:440
Step-by-step explanation:
F=440(2)h/12 h=6
F=440 x 2 x 6/12
F=(440 x 2 x 6) ➗ 12
F=5280 ➗ 12
F=440
A linear pair of angles are adjacent and complementary
Answer:
You ugly i wanna fight on sight
Step-by-step explanation:
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing.
Answer:
27
Step-by-step explanation:
Input 5 for all x-values.
If that is an equal sign...
1/9*(3^5)
With PEMDAS, exponents are done before multiplication.
1/9*243
= 27
In ΔPQR, the measure of ∠R=90°, RP = 9.9 feet, and QR = 3.2 feet. Find the measure of ∠P to the nearest tenth of a degree.
Answer:
17.9
Step-by-step explanation:
−7×8=?????????????????????????
Answer
the answer is -56
Step-by-step explanation: