please help with math? will give branliest!!
2. A wildlife refuge in South America has howler monkeys and spider monkeys. A biologist working there randomly selected eight adults of each type of monkey, weighed them, and recorded their weights in pounds.
howler monkey: {15, 16, 17, 17, 17, 17, 18, 19}
spider monkey: {12, 13, 13, 14, 14, 14, 16, 16}
(a) Calculate the median each type of monkey.
(b) Calculate the mean for each type of monkey.
(c) Calculate the MAD for each type of monkey.
(d) Calculate the means-to-MAD ratio for the two types of monkeys.
(e) What inference can be made about the weight of both types of monkeys? Explain.
Answer:
Answers
spider 14 14 1
The median of howler monkey is, 17
And, Median of spider monkey is, 14
The mean for the howler monkeys is 17 and the MAD is 0.8571.
The mean for the spider monkeys is 14 and the MAD is 1.1429.
The means-to-MAD ratio is 2.6249.
This means that on average, the number of mean absolute deviations that separate the means is 2.6. This means they are different.
Find the median of data set as;
For howler monkey;
There are 8 number of howler monkey.
Hence, Median is,
= (8/2 + 1)
= 5 th term
= 17
For spider monkey;
There are 8 number of spider monkey.
Hence, Median is,
= (8/2 + 1)
= 5 th term
= 14
To find the mean of the howler monkeys, add all of the data values and divide by 7:
= (15+16+17+17+17+17+18+19)/7
= 119/7
= 17
To find the MAD, subtract each data point from the mean; take the absolute deviation; then average these together:
= (|15-17|+|16-17|+|17-17|+|17-17|+|17-17|+|17-17|+|18-17|+|19-17|)/7
= (2+1+0+0+0+0+1+2)/7
= 6/7
= 0.8571
And, Repeating these processes for the spider monkeys:
Mean:
(12+13+13+14+14+14+16+16)/7
= 98/7
= 14
And, MAD:
= (|12-14|+|13-14|+|13-14|+|14-14|+|14-14|+|14-14|+|16-14|+|16-14|)/7
=(2+1+1+0+0+0+2+2)/7
= 8/7
= 1.1429
To find the means-to-MAD ratio, find the difference in the means and divide it by the larger MAD:
17-14=3;
Hence, We get;
3/1.1429 = 2.6249
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Related Questions
how do i answer this question
[tex]7 - 3x = 2x + 7 - 5x[/tex]
Answers
7 - 3x = - 3x + 7
You can rearrange the right side to be:
7 - 3x = 7 - 3x
Because are the same thing, your answer ends up being all real numbers or infinitely many solutions. This means whatever number you plug in for the x-variable, the two sides will always be equal to each other.
The Big Dipper ice cream store charges 25 cents for a cone and 75 cents for each scoop of ice cream added to the cone. What will a customer pay for a double dip ice cream cone?
Answers
Answer: $1.75
He wants technically 2 scoops of ice cream which is 0.75 + 0.75 = $1.50
He only wants 1 cone so thats $0.25
Final Total:
1.50 + 0.25 = $1.75
He will pay $1.75 for a Double Dip Ice Cream Cone!
A rectangular floor space in a community center is 40 ft long and 32 ft wide. A volunteer is setting up chairs on the floor space. Each chair needs an area of approximately 4 ft by 5 ft.
Which estimate best approximates the number of chairs that can be set up on the floor space?
A. 20
B. 60
C. 260
D. 320
Answers
Answer:
60
Step-by-step explanation:
Just confirming for the K12 students ;)
how do you subtract 42 minutes from 1 hour ,25 minutes.explain what to do and why you do it?
Answers
60+25= 85 minutes
Now we should subtract the 42
85-42=43
Roll a 5 win 6 dollars roll a 6 win 12 dollars if you play one time what is your expected reward
Answers
How many dimes in 1898.59
Answers
there are 189 whole dimes
Since there are 10 dimes per dollar, you'd multiply $1,898 by 10, to get your final answer (18,985 dimes).
I hope this helps!
Marie is buying an ice-cream sundae. There are 3 sizes of sundaes, 15 different ice-cream flavors, and 5 different toppings. How many ways can Marie choose a sundae?
Answers
[tex]3 \times 15 \times 5 = 225[/tex]
Multiplying them out, you can see that there are 225 different combinations of sundaes
The total cost of a jacket and a pair of shoes was $99.15. if the price of the jacket was $5.81 less than the pair of shoes, what was the price of the jacket? express your answer as a simplified fraction or a decimal rounded to two places.
Answers
Then price of jacket would be x - 5.81
Combining the two would give you
x + x - 5.81 = 99.15
combining like terms simplifies to 2x - 5.81 = 99.15;
now adding 5.81 to both sides of the equal sign leaves
2x = 104.96
and finally, dividing both sides by 2, gives x = $52.48; which is the cost of the shoes. Recall, the cost of the jacket is 5.81 less than the cost of the shoes.
so, COST OF THE JACKET is 52.48 - 5.81 = $46.67
Final answer:
To find the price of the jacket, set up a system of equations with the given information and solve for the jacket's price. The final calculated price of the jacket is $46.67.
Explanation:
The total cost of a jacket and a pair of shoes was $99.15. The price of the jacket was $5.81 less than the pair of shoes. Let's denote the price of the jacket as j and the price of the shoes as s. The problem gives us the following system of equations:
1) j + s = $99.15
2) s = j + $5.81
By substituting equation 2 in equation 1, we get:
3) j + (j + $5.81) = $99.15
Simplify and solve for j:
4) 2j + $5.81 = $99.15
5) 2j = $93.34
6) j = $46.67
Therefore, the price of the jacket is $46.67, which is the answer rounded to two decimal places as the student requested.
What are the solutions of the inequality? 12x – 3x + 11 > 4x – (17 – 9x) a. x > –7 b.x > −1411 c. x < −1411 d.x < 7
Answers
Explanation:
1) given: 12x – 3x + 11 > 4x – (17 – 9x)
2) expand the parenthesis: 12x - 3x + 11 > 4x - 17 + 9x
3) combine like terms on each side: 9x + 11 > 13x - 17
4) subtract 9x and add 17 to both sides:9x - 9x + 11 + 17 > 13x - 9x - 17 + 17
5) combine like terms: 28 > 4x
6) divide both sides by 4: 7 > x
That is x < 7 which is the option d.
GEOMETRY HELP 70 POINTS FAST!!!!!!!
FIND SURFACE AREA. IT’S OKAY IF YOU DID ONE BUT I WOULD PREFER IF YOU DID BOTH THANKS
Answers
9) Surface area = PI x 3 x (3+8.5) = 108.38 yd^2
Because you already have your radius but you need to find your hight. You use a triangle and do a^2+b^2=c^2 and that gives you 9.75. Then plug those two numbers into the surface area of a cone equation.
8)C
Because you need to find something the radius by dividing 18 by 2 which gives you 9. Then you need to find the hight which you make a triangle and do a^2+b^2=c^2 and that gives you 19.98. And plug those numbers into the surface area of a cone formula
Susan and betsy bought sport supplies for summer camp. susan bought six basketballs and one soccer ball for $27. betsy bought four basketballs and two soccer balls for $22. how much do basketballs cost? how much do soccer balls cost?
Answers
x: cost of each basketball
y: cost of each soccer ball
We now write the system of equations:
6x + y = 27
4x + 2y = 22
Solving the system we have:
x = 4 $
y = 3 $
Answer:
basketballs cost $ 4
soccer balls cost $ 3
15 POINTS
What is the equation of the following graph in vertex form?
(parabolic function going down from the left through the point negative four comma zero and turning at the point negative three comma negative one and going up through the point negative two comma zero and then through the point zero comma eight and continuing up towards infinity)
y = (x − 3)2 − 1
y = (x + 3)2 − 1
y = (x − 4)2 − 2
y = (x − 4)2 + 8
Answers
And y coordinate of vertex is -1 so the answer is B.
Answer with explanation:
→The given curve is Quadratic,having two real roots,as it cuts X axis at two distinct points that is at ,-2 and -4.
→Graph is symmetrical about line , x=-3.
→This curve is a Parabola,opening in upward direction ,that is having Y axis as Axis of Symmetry.
→Parabola is defined as locus of all the points such that distance from fixed point called focus, to distance from fixed line called Directrix ,is always Constant.
→Point which divides PARABOLA in two symmetrical parts is called Vertex having coordinates (-3,-1).
Equation of parabola having vertex ,(-3,-1) and opening in Upward Direction,that is in vertical direction, is given by:
General Equation: Equation of parabola passing through point (a,b) and opening in upward direction and having focus (k,h) is
y-b=4 k× (x-a)²
So, the equation of parabola will be
→y-(-1)=4 k[x-(-3)]²
→y+1==4 k(x+3)²-----(1)
This parabola also passes through (-4,0) and (-2,0).
→0+1=4 k×(-4+3)²
→1=4 k×(-1)²
[tex]1=4 k\\\\k=\frac{1}{4}[/tex]
If you will substitute , x=-2 and y=0 in equation 1,you will get same value of k.
Equation of Parabola ,that is equation 1,can be written as
[tex]y+1=4\times\frac{1}{4}(x+3)^2\\\\y+1=(x+3)^2\\\\ y=(x+3)^2-1[/tex]
Option B: y=(x+3)²-1
Jamal baked muffins for the school bake sale. He made 12 corn muffins and 15 blueberry muffins. What is the ratio of blueberry muffins to all muffins?
Answers
hope it helps! <3
Answer:
5:9
Step-by-step explanation:
Make t the subject of the formula
Answers
[tex]t= \frac{4p+3}{p-2} [/tex]
Hopefully i helped, i suppose ill go answer the other one too hehe well mark brainly if possible ^.^
N a hearing test, subjects estimate the loudness (in decibels) of a sound, and the results are: 68, 67, 70, 71, 68, 75, 68, 62, 80, 73, 68. what is the mean?
Answers
what is the inch equivalent of 32.5 mm to the nearest 0.0001
Answers
32.5 mm * 1 inch / 25.4 mm = 1.2795275591 inches
or to the nearest .0001 inch,
1.2795 inches
If you are examining a triangle with given measurements for one leg and the hypotenuse, how will you determine the measure of the unknown leg? Explain.
Answers
By using Pythagoras theorem, length of one leg of triangle can be determined.
Given:
A triangle with length of one leg and the hypotenuse
According to question,
Let the length of one leg of triangle which can be base [tex](b)[/tex] or perpendicular [tex](p)[/tex] and hypotenuse represented by [tex](h)[/tex].
Now, using Pythagoras theorem which states that if a triangle is right-angled ([tex]90[/tex] degrees), then the square of the hypotenuse is equal to the sum of the squares of the other two sides.
From the figure,
In [tex]\Delta AOB, \;\angle O=90^\circ[/tex]
[tex]\rm{H^2=P^2+B^2}\\\rm{AB^2=AO^2+OB^2[/tex]
[tex]h^2=p^2+b^2[/tex]
[tex]b=\sqrt{h^2-p^2}\\[/tex]
or
[tex]p=\sqrt{h^2-b^2}\\[/tex]
Therefore, length of one leg of the triangle is determined by using Pythagoras theorem.
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The Comegna family wants to build a human pyramid when they go to the beach this summer. They will put one person on top and add 2 more people for each descending row.
a. How many people will be in the seventh row?
PLEASE HELP!! the rest are in the attachment
Answers
a. Number of people in the seventh row will be as follows:
d=2
a1=1
n=7
thus the number of people in the 7th row will be obtained using the explicit formula:
an=a1+(n-1)d
a7=1+(7-1)2
a1=1+12
a1=13
b. Total number of people in 7 rows will be calculated using the formula:
sn=n/2(a1+an)
plugging in the values:
s7=7/2(1+13)
s7=7/2(14)
s7=49
c. Total number of people required to make 10 rows will be:
n=10
a1=1
a10=1+(10-1)2
a10=1+18
a10=19
thus
s10=10/2(1+19)
s10=100
It will take 100 children
d. To get the number of rows the Simpsons Pyramid had we shall use the explicit formula:
an=a+(n-1)d
d=4
a1=1
an=37
plugging in the values we get:
37=1+(n-1)4
solving for n:
36=4n-4
40=4n
n=10
thus the number of rows would be 10
e. Total number of people will be:
d=4
n=10
a1=1
Sn=n/2(a1+an)
Sn=10/2(1+37)
Sn=190
PART 2: Geometric sequence and series
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How many turning points are in the graph of the polynomial function?
2 turning points
3 turning points
4 turning points
5 turning points
Answers
We then have to look for the slope changes in the given function,
We have inflection points in:
4 points of the given graph.
Answer:
4 turning points
Explanation:
The turning points are those points where the graph changes direction, i.e. where the function changes from growing to decreasing or from decreasing to growing.
That is the typical behavior of polinomial and it is related with the degree of the polynomial.
In this case, since you have the graph you can directly telling the turning points. Those are near x = - 2, x = -1, x = 1 and x = 2, i.e. four turning points.
Those turning points correspond to local maxima (if the function changes from growing to decreasing) or local minima (if the function changes from decreasing to growing).
A family took a trip. They spent $90.71 for gasoline, $153.00 on meals, $197.00 on amusements, and $73.38 on miscellaneous expenses. How much did the trip cost?
Answers
Theoretically, the actual TRIP cost $90.71, because the extra money spent was on other things other than the transportation, which is the main part of the trip.
but in total, DURING that trip, they spent $514.09
I hope this helps, and have a nice day!
If you flip 3 coins, what is the probability of landing on heads only 2 times? list your answer as a fraction in simplest form.
Answers
No. of outcomes with only 2 heads = 3
S0 the Probability of just 2 heads = 3/8
Which equation can be used to find the volume of this solid?(Please see attached picture)
V=3*5*4
V-3+5+4
V=5*4
V=3*5
Answers
Hope that helps
Maya is trying to break or tie the league record for home runs in her softball league. She solved the inequality mc019-1.jpg to find the minimum number of home runs she must average per week over the five remaining weeks of the season to break or tie the record. What error did Maya make when she chose this inequality to model the situation?
She chose the incorrect relation and should have solved 5x<30
She modeled “average” incorrectly and should have solved x/5<_30
She chose the incorrect relation and should have solved 5x_>30
She modeled “average” incorrectly and should have solved x+5<_30
Answers
Maya made an error in her chosen inequality by focusing on a minimum rather than the goal of breaking or tying the record. Assuming the record is 30, she should have used the inequality 5x >= 30, where x is the average number of home runs needed per week.
Explanation:It appears that Maya has made an error when she chose the inequality to model the situation. Since Maya is trying to break or tie the league record for home runs, she should be considering how many home runs she needs to hit in order to exceed or equal the current record, rather than considering a minimum. Her inequality should reflect the desired goal. If the league record is 30 home runs, for example, and there are 5 weeks left in the season, Maya might want to know how many home runs she must hit on average each week to break the record. Therefore, she should have solved the inequality 5x >= 30, where x represents the number of home runs she needs to hit on average each week.
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The daily intakes of milk (in ounces) for ten randomly selected people were: 26.0 13.0 13.5 14.8 19.1 13.6 21.6 30.8 15.8 14.1 find a 99% confidence interval for the population standard deviation σ.
Answers
To establish a 99% confidence interval for the population standard deviation, we first need to calculate the sample standard deviation of the data. We then use the Chi-Square distribution with the appropriate degrees of freedom to get the interval. The formula [√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)] can be applied.
Explanation:This question refers to constructing a 99% confidence interval for the population standard deviation using the information from a sample. The mentioned sample comprises measures of daily intakes of milk in ounces for ten randomly selected people. To address this, first, we need to calculate the sample standard deviation. After that, we use Chi-Square distribution (χ² distribution) to create the confidence interval for the standard deviation since population standard deviation (σ) is unknown.
Let's denote:
n as number of observations: n=10s as sample standard deviationχ²(α/2,n-1) as the χ² value for α/2 (± z-score for standard normal distribution) with n-1 degrees of freedom99% confidence interval for the population standard deviation σ can be found using the formula:
[√((n-1)*s²/χ²0.995,n-1), √((n-1)*s²/χ²0.005,n-1)]
Here, χ²0.995,n-1 and χ²0.005,n-1 represent the values from χ² distribution table corresponding to 0.005 and 0.995 (For 99% confidence interval, α=1-0.99=0.01. α/2=0.01/2=0.005) with n-1 degrees of freedom.
Please note that all numbers should be rounded according to the context, and the final values are but estimates that should not be treated as 100% accurate.
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If y varies directly as x and y=12 when x=72, find x when y=9
Answers
648 ÷ 12 = 54
x = 54
Hope this helps :)
Which choice is similar to the figure shown?
Answers
Take 45/30, you get 1.5. 1.5 x 20 = 30.
Hope I helped!
Heidi has $4.55. She needs to buy bolts at the hardware store . Bolts cost$0.13 each. How many bolts can Heidi buy.
Answers
Number of bolts she can buy = $4.55 ÷ $0.13 = 35
Answer: 35
One bolt = $0.13
Hence, divide 4.55 by 0.13
[tex]4.55 \div 0.13 = 35[/tex]
Answer : Heidi can buy 35 bolts.
Hope this helps. - M
At the start of an experiment , there are 30 bacteria dish. The bacteria population is expected to grow at a rate of 180% each day. Which is the best prediction for the bacteria population after 7 years?
A.51,750
B.40,479
C.2682
D.1837
Answers
ending amount = beginning amount * (1.8)^days
7 years = 2,555 days
ending amount = 30 * 1.8^7
ending amount = 30 * 61.2220032
ending amount = 1836.660096 or 1,837 (rounded)
answer is D.
A computer salesperson's monthly income depends on the amount of his sales. his monthly income is a salary of $1575 plus 9% of his monthly sales. write a linear equation for his monthly income for sales of x dollars. ( i=mx+b ).
Answers
Commission = 9% = 0.09
Monthly Sales = x
Monthly income = 1575 + 0.9x
Answer: Monthly income = 1575 + 0.9x
The solution is, 1575 + 0.9x, is a linear equation for his monthly income for sales of x dollars.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
Here, we have,
given that,
A computer salesperson's monthly income depends on the amount of his sales.
his monthly income is a salary of $1575 plus 9% of his monthly sales.
Fixed salary = $1575
Commission = 9% = 0.09
Monthly Sales = x
Monthly income = 1575 + 0.9x
Answer: Monthly income = 1575 + 0.9x
Hence, The solution is, 1575 + 0.9x, is a linear equation for his monthly income for sales of x dollars.
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Which linear equation has a slope of 3 and a y-intercept of –2?
Answers
Y=3x-2, or B.
Answer:
I believe the answer is A.
Step-by-step explanation: