Jordan’s Cat Fern is a finicky eater. Jordan is trying to determine which of two brands of canned cat food Fern prefers.
Answers
Answer:
There is significant difference in difference in the amount of food ferns eat ; and the preferred is TAB-a-cat.
(0.216, 5.984)
Step-by-step explanation:
This is a 2 sample t test test problem :
The hypothesis :
H0 : μ1 = μ2
H1 : μ1 ≠ μ2
x1 = 85.2 ; x2 = 82.1 ; n1 = 31 ; n2 = 30 ; s1 = 3.45 ; s2 = 4.62
The test statistic :
T = (x1 - x2) / √(s1²/n1 + s2²/n2)
T = (85.2 - 82.1) / √(3.45²/31 + 4.62²/30)
T = 3.1 / 1.0466
T = 2.96
Using the Pvalue from Tstatistic calculator :
df = smaller n - 1 = 30 - 1 = 29
Pvalue(2.96, 29) = 0.006075
α = 0.05
Pvalue < α ; We reject the Null and conclude that there is significant difference in difference in the amount of food ferns eat.
99% Confidence interval :
The test statistic :
(x1 - x2) ± Tcritical *√(s1²/n1 + s2²/n2)
Tcritical at 99% = Tcritical(0.01, 29) = 2.756
(85.2 - 82.1) / 2.756*√(3.45²/31 + 4.62²/30)
3.1 ± 2.8844296
Lower boundary = (3.1 - 2.8844296) = 0.216
Upper boundary = (3.1 + 2.8844296) = 5.984
(0.216, 5.984)
Since interval does not contain 0, then, we reject the Null.
Related Questions
Please Help uwu
Let f(x) = 4 - x^2 and g(x) = 2 - x. Find(f - g)(x)
Answers
Answer:
-x^2 +x +2
Step-by-step explanation:
f(x) = 4 - x^2 and g(x) = 2 - x
(f - g)(x) = 4 -x^2 - (2-x)
= 4 -x^2 - 2+x
= -x^2 +x +2
The regional transit authority for major metropolitan area wants to determine whether this relationship between the age of a bus and the annual maintenance cost. A sample of 10 buses resulted in the data located in the attached file above. Answer the following questions: Create a scatter chart using the data from the provided Excel file above. What does the scatter chart indicate about the relationship between age of a bus and annual maintenance cost
Answers
Answer Answer:
The scatter plot indicates that a positive linear relationship exists between the age of a car and its maintenance cost. This is depicted by the positive slope direction which indicates the maintainance cost of the car is will increase as the age of the car increases. If the correlation Coefficient of the data was calculated, a correlation Coefficient value of about 0.934 will be obtained.
Step-by-step explanation:
Check answer
Corey had 13 out of 15 answers correct on his math test.
He had 17 out of 20 answers correct on his language test.
On which test did Corey have a better score?
Answers
Answer:
Corey have a better score on his math test
Step-by-step explanation:
13/15 = 86%
17/20 = 85%
turn the scores into percentage and you will get the answer
3.a circle of radius 5 units passes through the points (- 3,3) and (3,1) .
i.how many circles can be drawn that meet the given criteria?
ii. what can be the centre of a circle(S)
b. the equation of any two diameters of a circle are given by the straight lines x-y-4=0 and 2x+ 3y + 7 =0.
find the equation of the circle if it passes through the point (2,4).
Answers
Answer:
See belowStep-by-step explanation:
Given:
Points (- 3,3) and (3,1) on a circler = 5i.
There are possible two points that can have a distance of 5 units from both of the given points, so possible two centers, hence two possible circles.
ii.
Let the points are A and B and the centers of circles are F and G.
The midpoint of AB, the point C is:
C = ((-3 + 3)/2, (3 + 1)/2) = (0, 2)The length of AB:
AB = [tex]\sqrt{(3 + 3)^2 + (1 - 3)^2} = \sqrt{6^2+2^2} = \sqrt{40} = 2\sqrt{10}[/tex]The distance AC = BC = 1/2AB = [tex]\sqrt{10}[/tex]
The distance FC or GC is:
FC = GC = [tex]\sqrt{5^2-10} = \sqrt{15}[/tex]Possible coordinates of center are (h, k).
We have radius:
(h + 3)² + (k - 3)² = 25(h - 3)² + (k - 1)² = 25Comparing the two we get:
(h + 3)² + (k - 3)² = (h - 3)² + (k - 1)²Simplifying to get:
k = 3h + 2We consider this in the distance FC or GC:
h² + (k - 2)² = 15h² + (3h + 2 - 2)² = 1510h² = 15h² = 1.5h = √1.5 orh = - √1.5Then k is:
k = 3√1.5 + 2 ork = -3√1.5 + 2So coordinates of centers:
(√1.5, 3√1.5 + 2) for G or(√1.5, 3√1.5 + 2) for F (or vice versa)-------------------------------------------------------------------------------------
b.
Diameters:
x - y - 4 = 02x + 3y + 7 = 0The intercession of the diameters is the center. We solve the system above and get. Not solving here as it is already a long answer:
x = 1, y = -3The point (2, 4) on he circle given.
Find the radius which is the distance between center and the given point:
r = [tex]\sqrt{(2 - 1)^2+(4+3)^2} = \sqrt{1^2+7^2} = \sqrt{50}[/tex]The equation of circle:
(x - 1)² + (y + 3)² = 501.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.
Answers
Answer:
See belowStep-by-step explanation:
This is how I solved it.
Plotted the given points. See the attached.
Identified two pairs to connect, the two chords.
(5. 5) with (7, 1) and (6,4) with (-2, 4).Determined the equation of both lines:
y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒ y - 5 = -2(x - 5)y = -2x + 15and
y = 4 (horizontal line)Identified perpendicular bisectors of those two chords, they both pass through the center of circle.
Midpoints of the chords:
[(5 + 7)/2, (5 + 1)/2] = (6, 3)and
(6 - 2)/ 2 = 2The equations:
y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)Solving the system found the intersecting of those, the center.
Found the center:
(2, 1)Found the distance from the center to one of the points (7, 1):
7 - 2 = 5, this is the radiusThe equation of circle:
(x - 2)² + (y - 1)² = 25Verified all the other points are on same circle, confirmed.
prove that (Cos A +cosB)^2+(SinA+sinB)^2=4cos^2(A-B/2)
Answers
Answer:
[tex](cosA + cos B)^2 + (sin A +sinB)^2 \\\\= cos^2A + cos^2B + 2cosA cosB + sin^2A +Sin^2B +2sinAsinB\\\\=(cos^2A + sin^2 A) + (cos^2B +sin^2B) +2cosAcosB + 2sinAsinB\\\\= 1 + 1 + 2cosAcosB + 2sinAsinB\\\\=2 + cos(A+B)+cos(A-B) + cos(A-B) -cos(A+B)\\\\=2 + 2cos(A-B)\\\\=2(1 + cos(A-B))\\\\=2\times 2 cos^2(\frac{A-B}{2})\\\\=4cos^2(\frac{A-B}{2})[/tex]
Hence proved .
What is the volume of the rectangular prism?
Answers
Answer:
54 in³
Step-by-step explanation:
9×3×2 = 54 in³
_______
Express 75cm/s in m/s
Answers
Step-by-step explanation:
75 cm/s
75/100 m/s
0.75 m/s
(SINCE 100 CM =1M-------75 CM=75/100M)
Find the value of x and y
Answers
Answer:
x = 30, y = 15
Step-by-step explanation:
x = 2*15 = 30
(Central angle is twice the inscribed angle standing on the same arc.)
Similarly,
y = 15
(Base angles of isosceles triangle are equal)
An insurance company has provided you with a sample of paid claims. The sample includes the following claims: 192, 113, 200, 287, and 225. What are the mean and the variance respectively of this sample rounded to nearest whole number
Answers
Answer:
The mean of this sample is 203.
The variance of this sample is 3154.
Step-by-step explanation:
Mean:
Sum of all values divided by the number of values.
In this case:
[tex]M = \frac{192 + 113 + 200 + 287 + 225}{5} = 203.4[/tex]
Rounding to the nearest whole number, 203.
Variance:
Sum of the difference squared between each value and the mean, divided by the number of values. So
[tex]V = \frac{(192-203.4)^2 + (113-203.4)^2 + (200-203.4)^2 + (287-203.4)^2 + (225-203.4)^2}{5} = 3153.8[/tex]
Rounding to the nearest whole number, 3154.
The mean of this sample is 203. The variance is 3154.
The variance of this sample is 3154.
Mean is given by,
[tex]M=\frac{192+113+200+287+225}{5}[/tex]
M=203.4
Sum of all values divided by the number of values.
In this case:
[tex]M=\frac{192+113+200+287+225}{5}\\M=203.4[/tex]
Rounding to the nearest whole number, 203.
What is the variance?Some of the differences squared between each value and the mean are divided by the number of values. So
[tex]V=\frac{(102-203.4)^2+(113-203.4)^2+.......+(225-203.4)^2}{5}\\V=3153.8[/tex]
Rounding to the nearest whole number, 3154.
To learn more about the variance visit:
https://brainly.com/question/25639778
#SPJ5
Elena is conducting an experiment to determine if the high school students are more relaxed when the lights are off or when music is played during an exam. She selects 10 of her friends to take an exam with the lights off and another 10 of her friends to take an exam with music playing.
Required:
What is problematic about the way that Elena selected her groups?
Answers
Answer:
Problematic is that - only one factor should be analysed at a time. However she has considered both.
Step-by-step explanation:
Groups for any experimental study should be selected on the basis of one variable, other factor(s) remaining constant.
In this case, here are two variables - lights on or off, music playing or not playing - effecting relax level during exams.
She selects 10 students for exam with lights off , 10 for exam without music. This is problematic, as at once only lights or only music factor should be considered.
If one group is with light on , other should be with light off. If one group is with music, other should be without music. This mix up of one light off aspect & one music without music is inapt.
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Find the Volume.
10 points
7 m
5 m
4 m
Answers
Answer:
140 m^3 = 7 x 4 x 5
Step-by-step explanation:
Volume = H * W * L
HELP TIMED----AND NO BOTS WITH /BIT
A segment which goes through two points of a circle is a …
Arc
Chord
Diagonal
Radius
Secant
Answers
Three stores have the same mp3 player
for sale. The regular price of the player is
$50. Store A is offering the player on sale
at 15% off the regular price. Store B is
offering a $10 coupon to be deducted
from the regular price. Store C is offering
a rebate of $7.50 to purchasers. Which
store is offering the mp3 player at the
lowest cost?
A Store A
B Store B
C Store C
Store A and Store C
Answers
Answer: Store C
Step-by-step explanation:
Store A is giving 15% off. 15% of 50 is 7.5.
50 - 7.5 = 42.5
Store B $10 dollar coupon.
50 - 10 = 40
Store C is offering $7.50 back.
50 - 7.50 = 42.5
Answer is store c
Store c is giving you $10 off where the other two stores are just give you $7.50.
Hope this helps.
I need help asap
Do the following sides form a triangle?
25 cm
17 cm
42 cm
Answers
1,3,6,10,15,21,28,36,45
Answer:
no
explanation:
Side lengths do not adhere to the triangle inequality theorem. Which states that the sum of the side lengths of any 2 sides of a triangle must exceed the length of the third side
What is the missing number?
The possible answers are -19, 19, 24 and -15
Answers
Answer:
15 because it says -(-2) so that means it is negative in something so your answer will be 15
Step-by-step explanation:
Explanation:
Let the unknown number be x
x - (-2) = -17
x + 2 = -17
x = - 17 - 2
x = -19
Help me PLEASEEEEEEEEEEEEE
Answers
Answer:
Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]Step-by-step explanation:
Given,
Gallon of juice drank in 5 weeks = 4
Therefore,
Gallon of juice drank in 1 week
[tex] = \frac{4}{5} (ans)[/tex]
What is 0.08 written as a percent?
8%
0.8%
0.08%
80%
Answers
PLEASE HELP! I WILL GIVE BRAINLIEST!?!
Answers
X=pie/4 +pie n, pie/3 +2 pie n, 5pie/3 +2 pie n
This is the full set of solutions. Let me know if this isn’t what you wanted or need an explanation.
What is perimeter of 300 315 55
Answers
What is the degree of the polynomial below?
7x^5+6x^3+ 4x + 2
A. 0
B. 3
C. 1
D. 5
Answers
Reason: It's the largest exponent
When a polynomial is written in standard form like this, the term with the largest exponent is written first, then the next largest and so on. So in cases like this, we simply need to look at the left-most term; however, this may not always be the case as your teacher could easily mix up the terms to make sure you're paying attention.
This is considered a quintic polynomial due to the degree of 5.
Please help me with this please
Answers
9514 1404 393
Answer:
0
Step-by-step explanation:
The forces are equal and opposite, so the net force is zero.
5N -5N = 0
A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?
Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07
Answers
Answer:1.50
Step-by-step explanation:None
Answer: the answer is d
Step-by-step explanation:
Please help I am super confused and would really appreciate it ♥️♥️♥️♥️
Answers
x---- independent variable
f(x)--- dependent variable(can also be "y")
The dependent variable (fx) is the output or you can say... For every value of the independent variable (x)...There's a unique value for the dependent variable.
Ok... Lemme explain
Say you have an equation
f(x)=2x+1
let x be take value from all natural Numbers (1,2,3..….)
When x is 1
f(x) = f(1) = 2(1)+1
=3
when x is 2
f(x)=f(2) = 2(2)+1 =5.
So for every x value... There's a unique value for f(x).
You dig?
Now
let's proceed to your question.
We're already given tbe values of x and f(x)
What we now need to find is the equation that corresponds to the values being gotten
From the table
When x =1 ...….f(x)=8
When x=2 .........f(x) = 32
When x=3 ...........f(x)=128
Etc
Which equation from the options will give you these values of f(x)???
You're gonna have to test run it quickly by puttinh values of x and see if they'll give the corresponding value of f(x).
Fun right?
OK. From Observation....
OPTION A WILL DO THE JOB.
f(x)=2.4^t where "t" represents x in this case.
Input your values of x in this
You'll get the exact f(x) value
Eg
when x= 1... f(x)= 2.4¹ =8
x=2 ..….f(x) = 2. 4² = 2.16 = 32.
OPTION A IS OUR ANSWER.
HAVE A GREAT DAY BRO!
Rewrite the expression in the form
Answers
The living room in a new house has the dimensions shown. What is the volume of the room?
Answers
Answer:
v = 220 yd²
Step-by-step explanation:
Small portion
v = 5 * 4 * 3
v = 60 yd²
Large portion
v = 9 * 6 * 3
v = 162 yd²
Total
v = 60 + 162
v = 220 yd²
Select the correct answer.
Which function is the inverse of function
f(x) = -2
Answers
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52?
Answers
Answer:
X + (X + 2) = 52
Step-by-step explanation:
Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:
X + (X + 2) = 52
2X + 2 = 52
X = (52 - 2) / 2
X = 50/2
X = 25
X + 2 =?
25 + 2 = 27
Therefore, the consecutive odd integers are 25 and 27.
if m<1=25 what is the measure of an angle that is complementary to <1
Answers
Answer:
65°
Step-by-step explanation:
The sum of the measures of complementary anfglwes is 90°.
Let a = the measure of the complement.
m<1 + a = 90
25 + a = 90
a = 65
Plz help me well mark brainliest if correct!!..
Answers
Answer: A/The LINE graph
Step-by-step explanation: