Answers
Answer:
Q1 = 40
Step-by-step explanation:
Set up numbers from least to greatest
21, 40, 52, 58, 72, 75, 96
First, find the median,
Median is: 58
Now Q1 is all numbers before the median (without counting the median)
21, 40, 52
The median here is 40
Answer:
D/40
Step-by-step explanation:
The answer is D because if you were to put them in the correct order it would be
21, 40, 52, 58, 72, 75, 96
Q1 Q2 Q3
Q1 is quartile 1 so the answer is 40
Hope this helps!
Related Questions
Order the steps in which to solve this expression. The value should be last.
PLEASE HELPPP.
Answers
Answer:
Exponents, Multiplication, Division (from left to right), Addition, Subtraction (from left to right), value
Step-by-step explanation:
D
Question 3
3 pts
Zion has 152 shares of company LMN stock. LMN issued dividend payments every
quarter that totaled $1.3 per share for the entire year. The current price for LMN
stock is $34.97 per share. What is the current dividend yield for LMN stock?
Answers
A χ2 goodness-of-fit test where all assumptions were met yielded the chi-square test statistic χ2=1.92 and a corresponding p-value of 0.75. The researcher interpreted the p-value as a 0.75 probability of observing a test statistic of χ2=1.92 or larger. What is wrong with the researcher’s interpretation?
Answers
Answer:
The researcher did not state that the p-value is conditional on the null hypothesis being true.
Step-by-step explanation:
The p-value or the assumed value represent the probability in which the test results that are received would be atleast extreme in that the null hypothesis would be correct
Here the wrong thing would be that researcher would not stated the p value is in conditional form based on the null hypothesis being true
Therefore the correct option is A.
Question
Find the third degree polynomial function that has an output of 320 when x = 4, and has zeros 2 and
-8i
Answers
Answer:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Step-by-step explanation:
A standard polynomial in factored form is given by:
[tex]f(x)=a(x-p)(x-q)...[/tex]
Where p and q are the zeros.
We want to find a third-degree polynomial with zeros x = 2 and x = -8i and equals 320 when x = 4.
First, by the Complex Root Theorem, if x = -8i is a root, then x = 8i must also be a root.
Therefore, we acquire:
[tex]f(x)=a(x-(2))(x-(-8i))(x-(8i))[/tex]
Simplify:
[tex]f(x)=a(x-2)(x+8i)(x-8i)[/tex]
Expand the second and third factors:
[tex]=(x+8i)x+(x+8i)(-8i)\\\\=(x^2+8ix)+(-8ix-64i^2)\\\\=(x^2)+(8ix-8ix)+(-64i^2)\\\\=x^2-64(-1)\\\\ =x^2+64[/tex]
Hence, our function is now:
[tex]f(x)=a(x-2)(x^2+64)[/tex]
It equals 320 when x = 4. Therefore:
[tex]320=a(4-2)(4^2+64)[/tex]
Solve for a. Evaluate:
[tex]320=(2)(80)a[/tex]
So:
[tex]320=160a\Rightarrow a=2[/tex]
Our third-degree polynomial equation is:
[tex]f(x)=2(x-2)(x^2+64)[/tex]
Answer:
f(x)=2(x-2)(x^2+64)
Step-by-step explanation:
I need help it says to use 3.14 PI
Answers
Answer:
Step-by-step explanation:
[tex]\text{We have a rectangle of 100 by 50 and half a circle with a radius of 25.}\\ \\ A=100(50)+3.14(25^2)\\ \\ A\approx 6962.5\ m^2[/tex]
What is the original price of the item? Explain. Help
Answers
someone help please with b (the slope is 5)
Answers
Help fast plz What is the length of the missing side? Use the Pythagorean Theorem
Answers
Answer:
10
Step-by-step explanation:
6^2+8^2=x^2
36+64=x^2
x=sqrt100
x=10
Write the equation of the line (y = mx+b) that has a slope of 2/3 and passing through the point (-6, 4)
Answers
Answer:
y = 2/3x + 4
Step-by-step explanation:
y = 2/3x + b
substitute
4 = 2/3(-6) + b
4 = -4 + b
what number added to -4 will equal 4? the only answer is 8.
-4 + 8 = 4.
b = 4
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. x2 4y2
Answers
Answer:
The integral of the volume is:
[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]
The result is: [tex]V = 78.97731[/tex]
Step-by-step explanation:
Given
Curve: [tex]x^2 + 4y^2 = 4[/tex]
About line [tex]x = 2[/tex] --- Missing information
Required
Set up an integral for the volume
[tex]x^2 + 4y^2 = 4[/tex]
Make x^2 the subject
[tex]x^2 = 4 - 4y^2[/tex]
Square both sides
[tex]x = \sqrt{(4 - 4y^2)[/tex]
Factor out 4
[tex]x = \sqrt{4(1 - y^2)[/tex]
Split
[tex]x = \sqrt{4} * \sqrt{(1 - y^2)[/tex]
[tex]x = \±2 * \sqrt{(1 - y^2)[/tex]
[tex]x = \±2 \sqrt{(1 - y^2)[/tex]
Split
[tex]x_1 = -2 \sqrt{(1 - y^2)}\ and\ x_2 = 2 \sqrt{(1 - y^2)}[/tex]
Rotate about x = 2 implies that:
[tex]r = 2 - x[/tex]
So:
[tex]r_1 = 2 - (-2 \sqrt{(1 - y^2)})[/tex]
[tex]r_1 = 2 +2 \sqrt{(1 - y^2)}[/tex]
[tex]r_2 = 2 - 2 \sqrt{(1 - y^2)}[/tex]
Using washer method along the y-axis i.e. integral from 0 to 1.
We have:
[tex]V = 2\pi\int\limits^1_0 {(r_1^2 - r_2^2)} \, dy[/tex]
Substitute values for r1 and r2
[tex]V = 2\pi\int\limits^1_0 {(( 2 +2 \sqrt{(1 - y^2)})^2 - ( 2 -2 \sqrt{(1 - y^2)})^2)} \, dy[/tex]
Evaluate the squares
[tex]V = 2\pi\int\limits^1_0 {(4 +8 \sqrt{(1 - y^2)} + 4(1 - y^2)) - (4 -8 \sqrt{(1 - y^2)} + 4(1 - y^2))} \, dy[/tex]
Remove brackets and collect like terms
[tex]V = 2\pi\int\limits^1_0 {4 - 4 + 8\sqrt{(1 - y^2)} +8 \sqrt{(1 - y^2)}+ 4(1 - y^2) - 4(1 - y^2)} \, dy[/tex]
[tex]V = 2\pi\int\limits^1_0 { 16\sqrt{(1 - y^2)} \, dy[/tex]
Rewrite as:
[tex]V = 16* 2\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]
[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]
Using the calculator:
[tex]\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy = \frac{\pi}{4}[/tex]
So:
[tex]V = 32\pi\int\limits^1_0 {\sqrt{(1 - y^2)} \, dy[/tex]
[tex]V = 32\pi * \frac{\pi}{4}[/tex]
[tex]V =\frac{32\pi^2}{4}[/tex]
[tex]V =8\pi^2[/tex]
Take:
[tex]\pi = 3.142[/tex]
[tex]V = 8* 3.142^2[/tex]
[tex]V = 78.97731[/tex] --- approximated
Use square ABCD for this problem
IF AC=26,find BC.
Answers
Answer:
BC = 26Step-by-step explanation:
because in square all sides are equal
Answer:
bc=28
Step-by-step explanation:
give them brainliest
o 12h + h +17-5
Help and please
Answers
In 2000 a particular school district had a total of 7982 students enrolled in school. At this time, the percent of white students who were exposed to school poverty3 was 30% whereas this was 34.5% for Black students. The number of white students in this district in 2000 was 5184 and the number of Black students was 1035. (Note these are the deomgraphics for students who identify as one of these two races alone.) In 2015, the number of students enrolled in school in this district increased to 11977. The percent of white students exposed to school poverty increased to 47.8% and the percent for Black students increased to 76.1%. The number of white students in this district in 2015 was 7306 and the number of Black students was 2037.
Suppose we want to determine if, relative to the increased size of the school district from 2000 to 2015, is the difference between the proportion of white students exposed to poverty likely due to something besides chance. Perform an appropriate statistical hypothesis test at an α = 0.05 confidence level to answer this question. Show all your work and interpret your conclusion within the context of the problem and the appropriateness of the required assumptions.
Perform the same analysis as you did but this time to determine if there is statistical evidence of an actual difference between the proportion of Black students exposed to poverty.
Answers
Answer:
Part A
There is sufficient statistical evidence to suggest that the difference between the proportion of White students exposed to poverty is likely due to something beside chance
Part B
There is sufficient statistical evidence to suggest that the difference between the proportion of Black students exposed to poverty is likely due to something beside chance
Step-by-step explanation:
Part A
The given data are;
The percent of White students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 30%
The number of White students in the district in 2,000, n₁ = 5184
The percent of White students exposed to school poverty in 2,015, [tex]\hat p_2[/tex] = 47.8%
The number of White students in the district in 2,015, n₂ = 7,306
The significant level, α = 0.05
The confidence level = 1 - α/2 = 1 - 0.05/2 = 0.975
The critical z at 0.975 confidence level, [tex]Z_c[/tex] = 1.96
The null hypothesis, H₀; [tex]\hat p_1[/tex] = [tex]\hat p_2[/tex]
The null hypothesis, H₀; [tex]\hat p_1[/tex] ≠ [tex]\hat p_2[/tex]
The Z test is given as follows;
[tex]Z=\dfrac{\hat{p}_1-\hat{p}_2}{\sqrt{\hat{p}(1-\hat{p})\left (\dfrac{1}{n_{1}}+\dfrac{1}{n_{2}} \right )}}[/tex]
Therefore, we have;
[tex]Z=\dfrac{0.3 - 0.478}{\sqrt{0.3 \cdot (1-0.3)\left (\dfrac{1}{5184}+\dfrac{1}{7306} \right )}} = -21.3894[/tex]
Given that the actual Z is much larger than the critical Z, we reject the null hypothesis that the difference between the proportion of White students is likely due to something other than chance
Part B, we have;
The percent of black students exposed to school poverty in 2,000, [tex]\hat p_1[/tex] = 34.5%
The number of black students in the district in 2,000, n₁ = 1035
The percent of black students in the district in 2,015, [tex]\hat p_2[/tex] = 76.1%
The number of black students in the district in 2,000, n₁ = 2037
[tex]Z=\dfrac{0.345 - 0.761}{\sqrt{0.345 \cdot (1-0.35)\left (\dfrac{1}{1,035}+\dfrac{1}{2,037} \right )}} =-22,925[/tex]
Similarly, due to the large value of Z compared to [tex]Z_c[/tex], there must be other variables responsible for the difference in proportion
please help
what is the slope of the line ?
Answers
Answer:
Slope would be -3/1
Answer:
-3/1 is the slope since you are going down 3 and going to the right one time.
The lateral surface area is _ square inches
Answers
Answer:
180
Step-by-step explanation:
PLEASE HELP DUE IN 3 minutes
Answers
Answer:D
Step-by-step explanation:
it has 2 number between 8-10 and the graph doesn't
PLZ GIVE BRAINLY
The answer is D.
Solution:
D was not used to create the histogram.
This is because there are zero values between 8 and 10, so D was not used to create the histogram.
Anji bought 4 shirts for $56.80. She later bought a shirt for $19.20. What was the mean cost of all the shirts in dollars?
Answers
Answer:
$15.20
Step-by-step explanation:
When you are asked to find the mean, you would add up the costs of the shirts and then divide them by however many shirts she got.
56.80 + 19.20 = 76
76 ÷ 5 = 15.20
Thus the mean cost is $15.20
Hope this helped!
if it costs $4 to make 3 cards, and $6 to make 7 cards, what's the total cost of making 25 cards?
Answers
Answer:
Step-by-step explanation:
7+3 = 10 $4+$6=$10
so it costs 10 dollars to make ten cards, how many times does 10 go into 25? 2
so $20 so far, I'm not that good at explaining.
Now with the remaining 5 cards that we have to make, we add three and have 24$ for 23 cards. Now with the remaining two cards we add $1.50.
because 2 x 1.50 = 3
so $25.50 for 25 cards I think...
I really hope I'm right and I hope this helps!
y= -2x + 2
2x+y= -2
Substitution Method! Someone Help!!! ASAP!!!!!
Answers
Answer:
no solution
Step-by-step explanation:
6A barrel holds 21 qt of oil. Trina drains the barrel at a rate of 6 c per min. How
long does it take her to empty the barrel? Show your work. (1 qt = 4 c )
Answers
Answer:
14 minutes
Step-by-step explanation:
The barrel held 21 quarts of oil, which is equal to 84 cups. Trina drains the barrel at 6 cups per minute, so to find out how much time it takes her to drain it, divide 84 by 6:
84 / 6 = 14
So, it took Trina 14 minutes to drain the whole barrel.
Find the rate of change in table plsss helppp!!!!
Answers
Answer:
.25 is the answer
Step-by-step explanation:
.5/2=.25
Jermaine earned 175 points by finishing 5 levels of video games. At this rate, how many points will he earn if he finishes 12 levels of the video game?
Answers
Answer:
420 points
Step-by-step explanation:
5 levels of video games = 175 points
1 level = 175 ÷ 5
= 35 points
Therefore,
12 levels of video games = 35 × 12
= 420 points
just took the test
Write the sentence as an equation.
w added to 293 is 326
Answers
Answer:
let no be x
293+x=326
x=326-293=33
33 is needed to add.
The inaugural attendance of an annual music festival is 150,00. The attendance y increase by 8% each year. (a.) Write an exponential growth function that represents the attendance after t years.
Answers
Answer:
y= 150,000(1+0.08)^t
The exponential growth equation is f ( x ) = 150,000 ( 1 + 0.08 )ˣ , where x is the number of years = t
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the initial value of the function be x₀ = 150,000
Now , the initial attendance = x₀
And , the percentage of increase every year r = 8 %
So , the equation will be
f ( x ) = x₀ × ( 1 + r )ˣ , where x is the number of years = t
Substituting the values in the equation , we get
f ( x ) = 150,000 ( 1 + 0.08 )ˣ
Hence , the exponential growth equation is f ( x ) = 150,000 ( 1 + 0.08 )ˣ
To learn more about exponential growth factor click :
https://brainly.com/question/13674608
#SPJ2
Select the correct answer.
Dr. Granger has two dishes of healthy cells. She exposes the cells in both dishes to different compounds that cause the number of
healthy cells to either increase or decrease exponentially.
The number of healthy cells in dish At hours after exposure is modeled by the function below.
Aft)
9,000(0.87)
The number of healthy cells in dish Bt hours after exposure to the other compound can be modeled by the table below.
t
0 1
2. 3 4
9,000 9,810 10,693 11,655 12,704
B(t)
Which of the following best describes what will happen to the number of healthy cells in each dish as t increases?
Type here to search
O
RI
11:39 PM
3/22/2021
Answers
Answer:
B. As t approaches positive infinity, A(t) approaches zero and B(t) approaches positive infinity.
Step-by-step explanation:
I got it right on my test
If 20 kilograms equals about 44 pounds, how many pounds is 1 kilogram?
Answers
Answer:
2.2
Step-by-step explanation:
Find the domain and the range of the relation.
t = {(10,6), (28,- 10), (42,6), (10,10),(52,10)}
The domain of t = { ? }
Answers
Answer:
domain:{10,28,42,52}
range:{-10,6,10}
Step-by-step explanation:
Hello There!
If you didn´t know the domain is the set of x values
the x values in the given relation are
10,28,42,10 and 52
so the domain is {10,28,42,52}
The range is the set of y values
the y values in the given relations are
6,-10,6,10,10
so the range is {-10,6,10}
Can someone please solve this using quadratic formula 2x^2 -7x -15=0
Answers
Solution
x=5
x= -3/2
Hopefully its good
Which game is not fair?
choosing the correct number between 1 and 10
spinning a spinner that is half red and half blue
flipping a coin
drawing a marble from a bag of 12 red and 12 blue marbles
Answers
Answer:
choosing the correct number between 1 and 10
hope my ans helps
plz give brainliest to my answer
be sure to follow me
stay safe
have a good day
Find z. Just write the number. Answer should be a whole number. PLS HELP DUE IN 10 MINS PLS
Answers
Answer:
z=13
Step-by-step explanation: