Answer:
Step-by-step explanation:
So, we are given two sites;
Site one: 91.28 , 92.83, 89.35, 91.90 82.85, 94.83, 89.83, 89.00, 84.62, 86.96, 88.32, 91.17, 83.86, 89.74, 92.24, 92.59, 84.21, 89.36, 90.96, 92.85, 89.39, 89.82, 89.91, 92.16, 88.67.
=> The mean = add up all the numbers/ the total numbers (which is 25). = 89.55.
=> The standard deviation = 3.005
SITE TWO: 89.35 86.51 89.04 91.82 93.02 88.32 88.76 89.26 90.36 87.16 91.74 86.12 92.10 83.33 87.61 88.20 92.78 86.35 93.84 91.20 93.44 86.77 83.77 93.19 81.79.
=> The mean= add up all the numbers/ the total numbers (which is 25). = 89.033.
=> Standard deviation = 3.271.
NB: the assumption here is that the variance for both sites are the same.
STEP ONE: DETERMINE THE DEGREE OF FREEDOM AND THE CRITICAL VALUE.
The degree of freedom =( mean of site 1 ) + (mean of site 2) - 2 = (25 + 25) − 2 = 48.
Since the degree of freedom is 48, Recall that the value for alpha given = 0.02. Then, the critical value = 2.407.
STEP TWO: DETERMINE THE STANDARD DEVIATION AND THE STANDARD ERROR FOR BOTH.
Therefore, the standard deviation = √[( 25 - 1) × 3.005^2 + (25 -1) × 3.271^2) ÷ (25 +25 - 2) ] = 3.14.
Also, the standard error = standard deviation × ( √(1/ mean 1 + 1/mean 2) ..
Standard error = 3.14 × [ ✓( 1/25 + 1/25)] = 0.89.
STEP THREE: DETERMINE THE CONFIDENCE INTERVAL.
confidence interval = (89.548 - 89.033 - 2.41 × 0.89, 89.548 - 89.033 + 2.41 × 0.89) = (- 1.62, 2.65).
STEP FOUR: THE HYPOTHESES.
=> THE TWO TAILED TEST.
Jo:μ1 = μ2.
Ja: μ1 ≠ μ2.
Thus, the rejected region is {t : ∣ t ∣ > 2.7}
As critical value = 2.7 for the degree of freedom which is 48 and α=0.01.
If we do the t - test for this,.we will have;
(89.548 - 89.003)÷ ( standard deviation × √ ( 1/25 + 1/25). = 0.58.
So,from our t - value, is less or equals to the critical value, therefore, the null hypothesis is not rejected.
Also, from the p-value table which gives p=0.565. The p- value is greater than or equal to the alpha value(0.01). therefore, the null hypothesis is not rejected.
We are not going to reject the null hypothesis because the information gathered is not enough.
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
its the first third and fith
Step-by-step explanation:
Which expression results in a sum or difference of
the answer choices are
here it is, hope i helped :)
the answer is 3 1/12
Answer:
6 2/6 -3 2/8
Step-by-step explanation:
6*6=36
36+2=38
so it becomes 38/6
8*3=24
24+2=26
so it becomes 26/8
for same denominator *ply 38/6 with 8 &26/8 with 6
it will become: 304-156/48
148/48
which is equal to
3 4/48
Select the correct months.
The balance of Jim's account on the first day of the month for the first six months of 2013 is given. Identify the months when the balance was
less than the balance in January.
Please answer.
Answer:
June I got u bro it was easy but there u got
Answer:
june,april,march
Step-by-step explanation:
yeeeeeeeeeeeeeeee i <3 waaaaaaaaafuls
What is the equation of this graphed line? Enter your answer in the slope-intercept form in the box.
Answer:
y = 2x + 2
Step-by-step explanation:
Answer: y=2x+2
Step-by-step explanation:
What is the value of k in the equation k/3-5=34
Answer: What is the value of k in the equation k/3-5=34
Step-by-step explanation: Solution for k/3-5=34 equation: k in (-oo:+oo) k/3-5 = 34 // - 34 k/3-34-5 = 0 1/3*k-39 = 0 // + 39 1/3*k = 39 // : 1/3 k = 39/1/3 k = 117 k = 117
Answer:
k = 117
Step-by-step explanation:
I was just learning this in class...
So basically you need to get the variable k by itself so you add 5 to -5 in the equation and leave k/3 alone and then you add 5 to the other side of the equation also so you add 34+5 and you get 37 so you get k/3=37 and now you multiply 3 by 3 to cancel it out and then you once again do it on the other side of the equation 37 x 3=117 soo that leads you too k=117 YAYYY!!
The entrance to a museum in Paris is shaped like a square pyramid. The base of the pyramid has a side length of 35 meters, and the height of the pyramid is 22 meters
Answer:
the total Hight would be 42 meters
Step-by-step explanation:
2 (43 – 1) +6
Most equivalent
Answer:
90
Step-by-step explanation:
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\mathbf{2(43 - 1) + 6}\\\\\mathbf{= 2(\boxed{\bf 42}) + 6}\\\\\mathbf{= \boxed{\bf 84} + 6}\\\\\mathbf{= 90}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{90}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]What is the distance between points P(8, 5) and Q(2,-3) to the nearest tenth?
becky adds 11 new videos to instagram per week. She currently has 1,577 videos.
Write an expression that represents the number of videos Charli will have in w weeks.
Answer:
1577 + 11w
Step-by-step explanation:
Which of the following describes the roots of the polynomial function f (x) = (x + 2) squared (x minus 4) (x + 1) cubed?
–2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3
–2 with multiplicity 3, 4 with multiplicity 2, and –1 with multiplicity 4
2 with multiplicity 2, –4 with multiplicity 1, and 1 with multiplicity 3
2 with multiplicity 3, –4 with multiplicity 2, and 1 with multiplicity 4
Answer:
A
Step-by-step explanation:
[tex]f(x) = (x + 2)^2(x-4)(x + 1)^3[/tex]
x+2=0
x+2-2=0-2
x=-2.....(x+2) was squared...exponent of 2...multiplicity of 2
x-4=0
x-4+4=0+4
x=4....(x-4) has no visible exponent which means it is essentially to the power of 1...multiplicity of 1
x+1=0
x+1-1=0-1
x=-1....(x+1) was cubed...exponent was 3...multiplicity of 3
The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct.
What are the roots of an equation?The roots of an equation are the solution of that equation, since an equation consists of hidden values of the variable so to determine them by different processes and then the resultant is called roots.
For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.
As per the given function,
f(x) = (x + 2)²(x - 4)(x + 1)³
The roots are the points at which the value of the function is zero.
f(x) = 0
(x + 2)²(x - 4)(x + 1)³ = 0
(x + 2)² = 0
x = -2 (with a multiplicity of 2)
(x - 4) = 0
x = 4 (with a multiplicity of 1)
(x + 1)³ = 0
x = -1 (with a multiplicity of 3)
Hence "The roots and their respective multiplicity are –2 with multiplicity 2, 4 with multiplicity 1, and –1 with multiplicity 3 thus option (A) is correct".
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How many solutions does 10(x+4)-3=14x+1
Answer:
one solution
x=9
Step-by-step explanation:
10x+37=14x+1
37=4x+1
36=4x
x=9
Answer:
X = 9
It has ONE SOLUTION
Step-by-step explanation:
10(x+4)-3=14x+1 (Given)
10x + 40 - 3 = 14x + 1 (distributive property)
10x + 37 = 14x + 1 (combine like terms)
-4x = -36 (subtraction property)
x = 9
! Find the slope using the formula.
(9,-5) and (-2,9)
Answer:
[tex]m=\frac{-14}{11}[/tex]
General Formula and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, -5)
Point (-2, 9)
Step 2: Find slope m
Substitute: [tex]m=\frac{9+5}{-2-9}[/tex]Add/Subtract: [tex]m=\frac{14}{-11}[/tex]Rewrite: [tex]m=\frac{-14}{11}[/tex]I need help on this angle measurement paper
20 plus 4000???????
Answer:
4020
Step-by-step explanation:
I'm such a smart man
x = ? ..................................
Answer:
x = 40
Step-by-step explanation:
The two sides on top are congruent, Kites have two pairs of adjacent sides that are equal. so since it's 40 degrees on one side, the same will happen to the other.
a recipe for cooking turkey says to allow 15 minute cooking for each pound of turkey and to add 5 minutes additional cooking time per pound if the turkey is stuffed. this turkey weighs 15 pounds and will be stuffed. after cooking, the turkey will need 1/2 hour wait time for cooling and carving. what is the independent and dependent
The doctor had the opinion about the boy that it world
hare been better is he had velict
11 ÷ 924 in long division
Answer:
231 your welcome
Step-by-step explanation:
a mass of 25kg on a ramp at an angle of inclination 30 degrees to the horizontal, is oulled with a force of 75 kg an angle of 20 degrees to the ramp what is the frictional force if it is pulled up the ramp at constant speed
Decompose the forces into components that are parallel or perpendicular to the plane. Then the fricitional force (magnitude f ) is only included in the net force parallel to the surface. The other two are the parallel components of the box's weight (mag. w ) and the pulling force (mag. p)
The box is moving at constant speed, so there is no acceleration and the box is in equilibrium. By Newton's second law,
∑ F = p cos(20º) - w sin(30º) - f = 0
We're given p = 75 N, and
w = m g = (25 kg) (9.80 m/s²)
so
f = (75 N) cos(20º) - (25 kg) (9.80 m/s²) sin(30º)
f ≈ -52 N
That the magnitude is negative makes me think there's a mistake in the question.
What is the absolute value of 2-9i
Answer:
so we get as,
let, y = 2 - 9i
so the absolute value is |y|
so we get as,
|y| = 2-9i
so the absolute value is |y|
|y|=√ 2 to the 2nd power plus 9 to the second power
so we get as,
|y|=
√81+4=√85
so the value is √85
Example:
| − 2 − i | = √ 5
Explanation:
Absolute value of a complex number a + i b is written as | a + i b | and its value as √a 2 + b 2 .
Hence, absolute value of − 2 − i is √ ( − 2 ) 2 + ( − 1 ) 2 = √ 4 + 1 = √ 5 .
Step-by-step explanation:
Which event has theoretical probability of exactly 1/5 select three options
The spinner is divided into 10 equal sections.
Which event has theoretical probability of exactly 1/5? Select three options.
A) spinning a number less than 3
B) spinning a 4 or 5
C) spinning an odd number
D) spinning a number greater than 8
E) spinning a number less than 8
Answer:
Options A, B & D are correct
Step-by-step explanation:
From the image attached, we can see that the total number on the spinner is 10.
Now, we want to find which event has theoretical probability of exactly 1/5
Option A: spinning a number less than 3 means we get 1 or 2 which is 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option B: spinning a 4 or 5 means 2 numbers.
Thus; probability = 2/10 = 1/5.
This option is true
Option C: Odd numbers in the spin are 1,3,5,7,9. This is a total of 5 numbers.
Thus, probability = 5/10 = 1/2
This option is wrong.
Option D: Numbers greater that 8 are 9 & 10. That's 2 numbers.
Thus, probability = 2/10 = 1/5
This option is correct
Option E: numbers less than 8 are;
1,2,3,4,5,6,7. That's a total of 7 numbers.
Probability = 7/10
Thus, this option is wrong.
Answer: A, B, D
Step-by-step explanation:
x/4-6=2 simplify the following two step equation
Answer:
First, collect the like terms by one side
x/4=2+6
x/4=8
Then, criss-cross it, which means multiply 4 with 8
x=4×8
x=32
Step-by-step explanation:
I hope this is the answer to your question, if it helped you, please give me brainliest
what is the solution of the proportion 22/11 = r/13
Answer:
r=26
Step-by-step explanation:
22/11=r/13
11r=286
r=26
Linear or nonlinear
Answer:
I think its linear so I dont know 100% but I think it's a sorry if I'm wrong
Answer:
linear
Step-by-step explanation:
it is in y=mx+b form. also it forms a straght line
What is a number that when you multiply it by 8 and subtract 12 from the product, you get 76?
Equation:
Solution:
Answer:
11
Step-by-step explanation:
Equation: 8x - 12 = 76
Add 12 to both sides
8x = 88
Divide both sides by 8
x = 11
Hope this helped :)
A toy store received a shipment of 17 cases of teddy bears use compatible numbers to estimate the total number of teddy bears in the shipment. There are 12 bears per case.
Answer: The estimate is 200
Step-by-step explanation:
The exact amount would be 204 teddy bears, but you would it down to 200.
endrick walked 5 12 of a mile in 1 2 of an hour. How fast did he walk?
On average, 2.8 babies are born each day at a local hospital. Assuming the Poisson distribution, what is the probability that no babies are born today?
Answer:
The probability is [tex]P(X = 0) = 0.6997[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 2.8[/tex]
Generally the Poisson distribution constant [tex]\lambda[/tex] is mathematically represented as
[tex]\lambda = \frac{1}{\mu }[/tex]
=> [tex]\lambda = \frac{1}{2.8 }[/tex]
=> [tex]\lambda = 0.3571[/tex]
Generally the probability distribution for Poisson distribution is mathematically represented as
[tex]P(X = x) = \frac{(\lambda t)^x e^{-t \lambda}}{x!}[/tex]
Here t = 1 day
Generally the probability that no babies are born today is mathematically represented as
[tex]P(X = 0) = \frac{(0.3571 * 1 )^0 e^{-1 * 0.3571}}{0!}[/tex]
=> [tex]P(X = 0) = 0.6997[/tex]
Drag and drop the constant of proportionality into the box to match the table.
If the table is not proportional, drag and drop "not proportional" into the box.
x 0 2 4 6
y 0 3 6 9
Answer: it is NOT proportional
Step-by-step explanation: it doesn’t stick to 1 number going up if that makes sense, it’s adding 1 each time it goes up but it has to stick to one number going up making this NOT proportional
Answer:
2/3
Step-by-step explanation:
x adds by 2's: 0 2 4 6...
y adds by 3's: 0 3 6 9...
what is 9- 3/1/3 + 1 ?
Answer:
1
Step-by-step explanation:
There are 1/3•9=3, so 3÷1/3=9.9-9=00+1=1The value of the expression 9 - 3/1/3 + 1 will be 1.
What is Mathematical expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 9 - 3/1/3 + 1
Now,
Solve the expression as;
The expression is,
⇒ 9 - 3/1/3 + 1
⇒ 9 - 3 × 3 + 1
⇒ 9 - 9 + 1
⇒ 1
Thus, The value of the expression 9 - 3/1/3 + 1 will be 1.
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Convert 0.49494949 into a fraction. Show all work.
Answer:
0.49 49
=
49 this is a fraction
99
Step-by-step explanation:
Let
XXX
x
=
0.49
¯¯¯¯
49
then
XXX
100
x
=
49.49
¯¯¯¯
49
and
XXX
99
x
=
100
x
−
x
=
49
XXX
x
=
49
99