Answer:
Median #1: 10.5
Q1 #1: 5.5
Q3 #1: 19
IQR #1: 13.5
Median #2: 14
Q1 #2: 3
Q3 #2: 45
IQR #2: 42
Step-by-step explanation:
Question 1:
First order the data so that they are in order from least to greatest:
2, 5, 6, 8, 13, 16, 22, 24
Now, find the median by crossing out one value on the left and one value on the right until you get to the center value.
2, 5, 6, 8, 13, 16, 22, 24
/2/, /5/, /6/, /8/, /13/, /16/, /22/, /24/
In this case, there were four values crossed off of each side, so you'll need to find the average of the final two crossed out values: 8 and 13.
(8+13)/2 = 10.5
To find the first quartile, find the median of all values below the median.
2, 5, 6, 8
/2/, /5/, /6/, /8/
The median of these values is the average of the center two, so
(5+6)/2 = 5.5
The third quartile is the median of all values above the median.
13, 16, 22, 24
/13/, /16/, /22/, /24/
The median of those values is the average of the center two as well, so
(16 + 22)/2 = 19
The IQR can be found by subtracting Q1 from Q3. (IQR = Q3 - Q1)
Q3 - Q1
19 - 5.5
IQR = 13.5
Question 2:
Arrange the values from least to greatest and cross them out until you find the middle falue, like in problem one.
1, 3, 7, 14, 21, 45, 63
/1/, /3/, /7/, 14, /21/, /45/, /63/
The center value is 14, so the median is 14.
The first quartile can be found by finding the median of all values below the median.
1, 3, 7
/1/, 3, /7/
The first quartile is 3.
The third quartile can be found by finding the median of all values above the median.
21, 45, 63
/21/, 45, /63/
The third quartile is 45.
The interquartile range can be found using the equation from above.
Q3 - Q1
45 - 3
The interquartile range is 42.
The scatter plot shows the number of gallons of gas nicks car used to travel different numbers of miles
A scatterplot shows the number of miles driven versus the gallons of gasoline remaining in the gas tank of a car. Which correlation best describes the relationship shown on the scatterplot?
Answer:
Negative correlation
Step-by-step explanation:
The kind of relationship which exists between two variables can be obtained whwn plotted in a graph such that we can visually access the data and note its trend. Datasets with fit lines trending downward will always have a slope value which is negative. In the scenario above, gallon of gasoline falls as the number if miles driven increases. This is a very reasonable relationship. And thus correlation between Both variables will be negative
Three boys spent the afternoon playing a video game and then compared their best scores. Al says, "My best today is 1800 points more than yours, Bob." Carlo says, "I was having a good day. My 7200 points is 2/3 as much as your two scores combined, Al and Bob." How many points did each boy get in his best game that afternoon?
Answer:
Bob = 4500
Al = 6300
carlo = 7200
Step-by-step explanation:
the following equations can be derived from the question
A = B + 1800 equation 1 or A - B = 1800
C = 7200 = 2/3 (A + B) equation 2
where A = Al's score
B = Bob's score
C = Carlo's score
Make A + B the subject of the formula in equation 2
A + B = 10,800 equation 3
subtract equation 1 from 3
2B = 9000
B = 4500
Substitute for B in equation 1
A = 4500 + 1800 = 6300
if the dimensions of the prism base are 4 feet of length and 3 feet of width what is the height
Answer:
Step-by-step explanation:
Could you send a picture?
Use the box method to distribute and simplify (-5x-3)(2x-6)
Answer:
;;[p;.[p;l][pl];[p];[p';uijuyuhyghgghghghgghhghghghjhjgijk7yuyhfjtygujtyujytujyujgfgg
Step-by-step explanation:
hello please help i’ll give brainliest
Answer:
Sea Travels
Step-by-step explanation:
Hope this helps
Answer:
Crossing a land bridge.
Step-by-step explanation:
We that what I think they would do.
If you want your investment or savings account to be easily turned into cash without losing its value, consider the _____. yield term liquidity risk
The national average time spent using the internet at public libraries is 6 hours
per week with a standard deviation of 2 hours. In a local public library a random
sample of 64 people revealed an average time spent using the internet to be 6
1/2 hours. Is there reason to believe that the local average time on the internet is
different from the national average? Conduct a hypothesis test at the .05 level of
significance.
Answer:
We reject H0 and conclude that local average time on the internet is
different from the national average
Step-by-step explanation:
H0 : μ = 6
H0 : μ ≠ 6
Test statistic :
(xbar - μ) ÷ (s/√(n))
(6.5 - 6) / (2 / √64)
0.5 / (2/8)
0.5 / 0.25
Test statistic = 0.5 / 0.25
Test statistic = 2
We obtain the Pvalue :
Using the Pvalue from test statistic (Z) score calculator :
Pvalue = 0.0455
α = 0.05
Since Pvalue < α ; We reject H0 and conclude that local average time on the internet is
different from the national average
4. 8.G.3.9
This cone and sphere have equal volumes.
What is the radius of the sphere?
Answer:
the radius of the sphere is 12 cm.
Step-by-step explanation:
IN A CONE
vertical height (h) = 27 cm
radius (r) = 32 / 2 = 16 cm
Now the volume of cone is
= 1/3 *h*π*r²
= 1/3 * 27 *π *16²
= 2304π cm³
Also by the question the cone and the sphere have equal volumes so
volume of sphere = volume of cone
= 2304 π cm³
OR, 4/3 πr³ = 2304 π
4/3 * r³ = 2304
r³ = 2304 * 3 / 4
r³ = 1728
r = ∛1728
r = 12 cm
hope it helps :)
What’s the point of intersection line 1 is 3x-2y=5 and Line 2 is x+2y=7
Answer:
(3,2)
Step-by-step explanation:
3x-2y=5
x+2y=7 Add them up
4x=12 Solve for x
x=3
3+2y=7 Plug it back into either one of the parent functions and solve for y
2y=4
y=2
(3,2) That's the point where the two lines intersect each other.
find the circumference of the pizza to the nearest tenth (10in)
Answer:
31.4in
Step-by-step explanation:
In order to solve this, we need to know that circumference of a circle is equal to its diameter times "pi" (a mathematical constant). So we just do...
(π)(10in) ≅ 31.4in (rounded to the nearest tenth)
Find the value of x and 3x.
Answer:
x = 90°
3x = 270°
Step-by-step explanation:
Split the shape in half through the plane of 3x and x.
We can find the angle of x/2 is 45°.
Since x/2 = 45°, then we can fid that x=90°.
To find 3x, we simply multiply 90° 3 times.
So 3x = 270°.
Find x ba=5x -11
Ad = 6x -18
Answer:
x=7
Step-by-step explanation:
since its a square, all sides are the same so 5x-11 = 6x-18 and then solve it :)
WILL GIVE BRAINLIEST NO LINKS ANSWER ASAP
a taste test asks people from Texas and California which pasta they prefer brand a or brand b this table shows the results a person is randomly selected from those tested what is the probability that the person is from Texas given that the person prefers brand a
0.62
0.47
0.45
0.64
Answer:0.47
Step-by-step explanation:
Answer:
its b i just took this on a p 3 x :))
Step-by-step explanation:
Calculate the perimeter and the area of the figure use 3.14
Answer:
Step-by-step explanation:
13.
P= 19.42mm
A= 18.32mm²
Answer:
Half of 6 is 3(new radius)
2 x 3.14 x 3 = 18.84, 18.84 divided by 2 = 9.42
2 + 2 + 2 = 6
6 - 2 = 4
Add lengths:
9.42 + 6 + 4 = 19.42 mm is your perimeter
2 x 2 = 4
3^3 = 9
9 x 3.14 = 28.26, 28.26 divided by 2 (semi circle) = 14.13
Add areas:
4 + 14.13 = 18.13 mm2 is your area
Find the values of x and y.
Answer:
y=60°
x=12°
Step-by-step explanation:
because the propertiy of parallelogram is the opposite side have equal measurement.
that is why y=60°
x+3=15 the paralla side are equal
x=15°-3°
x=12°
proof》》》》x+3=
12°+3°=15°
15°=15°
Round to the nearest 5764.357894
Answer:
Step-by-step explanation:
5764.36 I think
What is the equation of the line through the point (O, 4) with slope of 2?
Write the following series in sigma notation.
5+13+21+29+37+45+53
Answer:
203
Step-by-step explanation:
Answer:
∑ᵢ⁷₌ ₁(7+8i)
Explanation:
In order to write a series in sigma notation you must:
Identify the index of summation and first value. In the equation, the index of summation would be i and the first value is assumed to be 1 due to the pattern that can be traced back. Identify the last value of n, which would be 7 in the series. This value is placed as a superscript next to or above the capital Greek letter ∑.Identify the formula for the terms. In thes case, the formula for the terms is (7+8i) because there are seven terms in the sequence that are increasing by 8. The variable i comes after because that is the letter used in the index of summation.Help me! And please explain because I really don’t understand
Answer:
115 degrees
Step-by-step explanation:
because a line is 180 degrees so you take 65 from 180 which gives you 115, and we know that thats the x on the top because the bottom line (which has 65 degrees) are the same with the top line (the one with the missing x) since the transversal line is evenly cut thru
hope i helped
Please help show work
A 19
B 37
C 58
D 24
Let's assume a typical New Zealand farmer raising sheep owns 250 hectares and averages about 10 livestock units per hectare. If each ewe earns the farmer $20/year, how much money does that farmer earn in one year?
Answer:
$50,000
Step-by-step explanation:
We have an average of 10 livestock units per hectare
The number of units in 250 hectares will be;
250 * 10 = 2,500 units
Amount earned per unit is $20 per year
So, for 2,500 units, we have
2500 * $20 = $50,000
Help me please worth 10 points
Use words to write each of these decimal numbers:
(a) 200.02
(b) 0.001625
Answer:
a) two hundred and two hundredths
b) one thousand six hundred twenty five millionths
Answer:
A. two hundred and two hundredths
B. one thousand six hundred and twenty five millionths
Step-by-step explanation:
hope this helps!
what is the volume of a sphere with a radius of 9.2cm, rounded to the nearest tenth of a cubic centimeter
Answer:
Step-by-step explanation:
Answer:1630.9 cm
v=4/3πr^3
radius =9.2
Plug in
4/3π(9.2)^3
3261.76066-
Volumenof hemisphere Half of volume of spehere
3261.76066698/2
=1630.9 cm^3
Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary. 20,40,80,...
Answer:
5100
Step-by-step explanation:
the geometric sequence is
f(n) = 20(2)^(n-1)
add up the first 8 to get
1. Find the surface area of the Rectangular Prism. 12 cm 28 cm 22 cm
Answer:
The awnser is 2432
Step-by-step explanation:
12x28x22= 2432
person 6-9 MathXL 8th grade question 2
Answer:
<1 = 112degrees
<2 = 33degrees
Step-by-step explanation:
From the figure, the sum of interior angles of the larger triangle is equal to the exterior, hence;
<1 + 15 = 127
<1 = 127 - 15
<1 = 112degrees
For the smaller triangle;
<1 = <2 + 79
112 = <2 + 79
<2 = 112-79
<2 = 33
Hence the measure of <2 is 33degrees
How much Zn and how much HCl should be used to produce 1.5 g ZnCl2
Answer:
0.71963 g of Zn0.80256 g of HClStep-by-step explanation:
The required mass of reactants can be computed from the number of moles of product.
moles of ZnCl₂ = (1.5 g)/(136.282 g) ≈ 0.0110066 moles
Then the mass of Zn required is ...
mass of Zn = (0.0110066 mol)(65.382 g/mol) = 0.71963 g
Two moles of HCl are used in the reaction with each mole of Zn, so the mass of HCl required is ...
mass of HCl = 2(0.0110066 mol)(36.458 g/mol) = 0.80256 g
_____
Comment
The discrepancy in the last two decimal places of the weights above versus the calculator output below comes from rounding of moles of Zn to 4 significant digits, instead of 5 or more. The number of moles of ZnCl₂ is closer to 0.0110066.
A cone has a volume of 9 cubic inches. What is its height?
Answer:
height is 27/πr^2
Step-by-step explanation:
h
call me an i.d.i.o.t all you want but can someone help me understand this please
NO LINKS OR PDF FILES THAT DONT WORK
So supplementary angles are ones that add up to 180degrees and complementary ones add up to 90degrees.
So for the left side, you find what angle is supplementary to the given one. For the angle of 35, another angle of 145 will add up to 180.
The right side want you to find the complementary angles, so for the angle of 18, another angle of 72 will add up to 90.
I always forget supplementary vs complementary, but a little bit of practice will help a lot.