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
Given f(x) = 3x2 + x and g(x) = 2x. What is Limit of g (f (x)) as x approaches negative 4?
44
88
104
188
Answers
Answer: 88
Step-by-step explanation:
got it right 2022 edge
A manufacturing facility is responsible for producing two components that are produced at states 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent). For the final product (con- sisting of both components) to be acceptable the sum of the two states needs to be at least equal to 6. At the moment, the manufacturing processes are random, and hence each component is equally likely to be at any of the 5 states. Answer the following questions.
Required:
a. What is the probability that a final product is acceptable? What is the probability that a final product is unacceptable?
b. What is the probability that a final product is acceptable given that the first component is produced at a state of 2?
c. What is the probability that the second component was produced at a state of 3 given that the final product is acceptable?
Answers
Answer:
a) i) P( final product is acceptable ) = 3/5
ii) P ( final product not acceptable ) = 2/5
B) P ( final product is acceptable | X =2 ) = 2/5
C) P ( Y = 3 | Final product is acceptable ) = 2/5
Step-by-step explanation:
Given data :
5 states : 1 (poor), 2 (below average), 3 (average), 4 (good), and 5 (excellent)
Number of components produced = 2
X ( component 1 ) ∴ P(X) = 1/5
Y ( component 2 ) ∴ P(Y) = 1/5
Aim : Sum of Final product needs to be ≥ 6
A) Probability of a final product been acceptable and also unacceptable
P( final product is acceptable ) ; P(X + Y ≥ 6 )
= 1/5 ∑ P( Y ≥ 6 - x )
= 1/5 ( P( Y ≥ 5 ) + P( Y ≥ 4 ) + P( Y ≥ 3 ) + P( Y ≥ 2 ) + P( Y ≥ 1 )
= 1/5 ( 1/5 + 2/5 + 3/5 +4/5 + 1 )
= 3/5
P ( final product not acceptable ) = 1 - 3/5 = 2/5
B) P ( final product is acceptable | X =2 )
∴ P ( Y ≥ 4 )
= 2/5
C) P ( Y = 3 | Final product is acceptable )
∴ P ( X ≥ 3 ) ≠ P( Y ≥ 3 ) ( because they are not independent )
= 1 - 3/5 = 2/5.
i need a box with a square base and an open top that cna hold 500 in^3. what is the least amount of material i can use to build this box
Answers
Answer:
M(x) = 452,56 in
Step-by-step explanation:
The volume of the open box is 500 in³
V = Area of the base times height
V(b) = x² * h where x is the side of the square and h the heigh
Then 500 = x²*h
Total material to use is: material of the base + material of 4 sides
material of the base is x²
material of one side is x*h we have 4 sides then 4*x*h
Total material M(b)
M(b) = x² + 4*x*h
And as h = 500/ x²
M(x) = x² + 4* x* 500/x²
M(x) = x² + 2000/x
Tacking derivatives on both sides of the equation
M´(x) = 2*x - 200/x²
M´(x) = 0 2*x - 200/x² = 0
x³ - 100 = 0
x³ = 100
x = 4,64 in
And By substitution h = 500/x²
h = 500/(4,64)² h = 23,22 in
How do we know that x = 4,64 make V(x) minimum
we get the second derivative
M´´(x) = 2 + 200*2x/ x⁴ = 2 + 400/x³
M´´(x) is always positive
M´´(x) > 0 then M(x) has a minimum for x= 4,64 in
The least amount of material is:
M(x) = x² + 2000/x
M(x) = (4,64)² * 2000/4,64
M(x) = 21,53 + 431,03
M(x) = 452,56 in
The ratio of softballs to teams is 26:2. How many softballs would 8 teams have?
Answers
Answer:
104 softballs
Step-by-step explanation:
26 x 4 = 104
The probability that a plant produces two or more seeds is 0.20. A sample of five plants is observed. What is the probability that at least three plants produce two or more seeds?
Answers
hope this helps you
The probability that at least three plants produce two or more seeds is 0.793915.
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
The probability that out of n trials, there be x successes is given by
Use binomial distribution, with p =0.20, n=5, x=3
[tex]P(X=x)=C(n,x)p^x (1-p)^{n-x}[/tex]
P(X> = 3)
[tex]=1-(P(X=0)+P(X=1)+P(X= 5 ))\\=1-(C(20,0)0.2^0 (0.8)^{20-0}+C(20,1)0.2^1 (0.8)^{20-1}+C(20,2)0.2^2 (0.8)^{20-2})[/tex]
=1-(0.0115292+0.057646+0.136909)
=1-0.206085
=0.793915
Hence, the probability that at least three plants produce two or more seeds is 0.793915.
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What the correct answer
Answers
Its ‘B’
100% sure
Plz mark me brainliest
What is the result when the number 79 is decreased by 17%?
Answers
Answer:
65.57 should be the correct answer!
Step-by-step explanation:
Here is the whole work I did, hope this helps!
100 - 17 = 83
79 x 0.83 = 65.57
Answer:
65.57
Step-by-step explanation:
Method 1:
[tex]\frac{y}{79} :\frac{17}{100}[/tex]
y · 100 = 17 · 79
100y = 1343
100y ÷ 100 = 1343 ÷ 100
y = 13.43
79 - 13.43
65.57
Method 2:
100% - 17% = 83%
[tex]\frac{y}{79} :\frac{83}{100}[/tex]
y · 100 = 83 · 79
100y = 6557
100y ÷ 100 = 6557 ÷ 100
y = 65.57
Help.. please.. I have no idea how to do this..
Answers
The sum of the three angles in a triangle add up to 180 degrees
Add up the two known angles
32 + 32 = 64
Subtract that from the total measure
180-64 = 116
Since 116 and x are vertical angles, they are congruent, making x equal to 116
please help 5 points which one
Answers
Answer:
A) 9/2x3/8
Step-by-step explanation:
Consider the following functions which map Rn to Rn.
(a) T multiplies the jth component of~x by a nonzero number b.
(b) T replaces the ith component of~x with b times the jth component added to the ith component.
(c) T switches the ith and jth components.
Show these functions are linear transformations and describe their matrices A such that T (~x).
Answers
Answer: c
Step-by-step explanation:
Can someone please help me with this fast?
Answers
Answer:
65*
Step-by-step explanation:
12x-7+16x+19=180
28x=168
x=6
12(6)-7=65
Which expression is equivalent to (1/16)^-4
Pls help 30 points timed
Answers
Move each fraction to a box to make each comparison true.
Answers
6/5=120/100
6/5>11/10
(6/5 =12/10)
VALUE OF X PLEASE ASAP
Answers
Answer:
Hello! answer: x = 40
Step-by-step explanation:
These are vertical angles meaning they will have the same measure.
40 × 3 = 120 120 - 16 = 104 therefore x = 40 hope that helps!
Can someone explain this to me?
Answers
Answer:
#2. 6x3.14=1080 which is more than 18
What is the equation of the graph
-2
y = 1x + 1
O y = 1x-2
y = 2x - 2
O y = 2x + 1
Answers
9514 1404 393
Answer:
the correct choice is marked
Step-by-step explanation:
The line has a rise of 2 for a run of 1, so a slope of 2. The line crosses the y-axis at y=-2, so the y-intercept is -2. The slope-intercept equation for the line is ...
y = mx + b . . . . . . for slope m and y-intercept b
y = 2x -2
Answer:
the answer is c y=2x-2
Step-by-step explanation:
:)
use special right triangle:
What is the length of (BD)
What is the length of (BC)
Answers
Answer:
BC = 6.9
Step--step explanation:
Reference angle = 30°
Adjacent = BC
Hypotenuse = 8
Apply trigonometric function, CAH:
Cos 30° = Adj/Hypotenuse
Cos 30° = BC/8
8*Cos 30° = BC
6.92820323 = BC
BC = 6.9 (to the nearest tenth)
65 ppl are at a movie and if 40% of them purchase sodas, how many ppl is this that have a soda?
Answers
Answer:
26
Step-by-step explanation:
Which raises can be represented by algebraic expression 2x + 1 check all that apply
Answers
Answer:
two times a number plus 1
Step-by-step explanation:
hiii please help
a- each person who takes a drink from the cooler drinks approximately ately 24 oz of water
b- the water cooler started off with 648 oz of drink in it
c- there are 24 people who take a drink from the cooler
d- each of the 24 who take a drinks from the cooler drinks 1oz
Answers
can someone help me with this math problem please? One hundred ten students are assigned to four classrooms as equally as possible. How many students are in each classroom? (Write four numbers in all show how many students are in each room?
Answers
Answer:
27.5
Step-by-step explanation:
Answer:
27.5Step-by-step explanation:
110/4 is 27.5
what could the expression below represent? please help
Answers
Answer:
third
Step-by-step explanation:
arctan of ( opp/adj) = arctan( 10/15 )
the shadow is 15 so 10 must be the height of the streetlight and
arctan (10/15) is the angle between the ground and the line from the edge of the shadow to the top of the streetlight
Enter the coordinates of the vertex of the graph of y = 2(x + 5)2 − 4.
Vertex: (
,
)
Answers
9514 1404 393
Answer:
(-5, -4)
Step-by-step explanation:
Compare the given equation to vertex form:
y = a(x -h)² +k
You see that a=2, h=-5, k=-4.
The vertex is (h, k) = (-5, -4).
Find the missing measure for a right circular cone given the following information.
Find h if r = 5 and V = 100 pi.
4
12
30
Answers
Answer:
[tex]Volume = \frac{1}{3} \pi r^2 h \\\\r= 5\\Volume = 100\pi\\\\Find \ h.\\\\h = 3\frac{V}{\pi r^2} = 3 \times \frac{100 \pi}{\pi \times 5^2} = 3\times \frac{100}{25} = 3 \times 4 = 12[/tex]
A certain town has 25,000 families. The average number of children per family is 2.6, with an SD of 0.80. The distribution is not normal, however, since 20% of the families have no children at all. (a) If one draws a simple random sample of five families from the 25,000, what is the chance that exactly two of the five sample families will have no children
Answers
Answer:
0.2048 = 20.48% probability that exactly two of the five sample families will have no children.
Step-by-step explanation:
For each children, there are only two possible outcomes. Either they have no children, or they do have children. The probability of a family not having children is independent of any other family. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of the families have no children at all.
This means that [tex]p = 0.2[/tex]
Five families:
This means that [tex]n = 5[/tex]
What is the chance that exactly two of the five sample families will have no children?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{5,2}.(0.2)^{2}.(0.8)^{3} = 0.2048[/tex]
0.2048 = 20.48% probability that exactly two of the five sample families will have no children.
1.6(5x-10)-(12x+15) I WILL AWORD BRILLNESTTTT
Answers
Answer:
-4x-31
Step-by-step explanation:
1.6(5x-10)-(12x+15)
8x-16-12x-15
-4x-31
The simplified expression is -4x - 31.
We know,
In mathematics, an expression refers to a combination of numbers, variables, operations, and mathematical symbols that represents a mathematical statement or computation. It can involve arithmetic operations (addition, subtraction, multiplication, division).
We have Equation,
1.6(5x - 10) - (12x + 15)
Now simplifying the equation
1.6(5x - 10) - (12x + 15)
= 8x - 16 - 12x - 15
= -4x - 31
Thus, the simplified expression is -4x - 31.
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A van travels 150 miles on 6 gallons of gas. How many gallons will it need to travel 325 miles?
A.12 gallons
B.2.8 gallons
C.13 gallons
D.25 gallons
plss help no link im giving brainless i need it Asap
Answers
Answer:
C. 13 gallons
Step-by-step explanation:
150 divided by 6 is 25. 325 divided by 25 is 13.
To travel 325 miles the van needs C. 13 gallons of gas.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A van travels 150 miles on 6 gallons of gas.
So, In one gallon the van travels (150/6) = 25 miles.
∴ To travel 325 miles the van needs (325/25) = 13 gallons of gas.
learn more about the unitary method here :
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What is one effect of World Bank loans to developing countries?
Answers
Answer:
Improved climate for foreign investment
Step-by-step explanation:
I just took the test gs
what is the percentile rank of 45 in the following length
24, 27, 27, 32, 34, 35, 35, 37, 38,41, 42, 44, 45, 45, 48, 49, 50, 52, 52
Answers
Answer:
63%.
Step-by-step explanation:
There are 12 scores below 45 and total number of scores = 19.
So percentile rank= (12/19) * 100
= 63%.
For positive acute angles A and B it is known that tan A 15/8 and Cos B 12/37 find the value of Cos (A+b) being in simplest form
Answers
Answer:
Step-by-step explanation:
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Find The Hypotenuse of A
Tan(A) = Opposite / Adjacent
Tan(A) = 15/8
Opposite = 15
Adjacent = 8
Hypotenuse = c
c^2 = opposite^2 + Adjacent^2
c^2 = 15^2 + 8^2
c^2 = 225 + 64
c^2 = 289
sqrt(c^2) = sqrt(289)
c = 17
Find the opposite of B
Adjacent = 12
Hypotenuse = 37
Opposite = b
adjacent^2 + opposite^2 = hypotenuse^2
12^2 + b^2 = 37^2
144 + b^2 = 1369
b^2 = 1369 - 144
b^2 = 1335
b = 35
Definitions
Sin(A) = Opposite / hypotenuse = 15/17
Sin(B) = opposite / hypotenuse = 35/37
Cos(A) = 8/17
Cos(B) = 12/37
Answer
Cos(A + B) = Cos(A)*Cos(B) - Sin(A)*Sin(B)
Cos(A + B) = 8/17 * 12/37 - 15/17*35/37
Cos(A + B) = 96/629 - 525/629
Cos(A + B) = -429/629