Answer:
T statistic = 0.256
Step-by-step explanation:
Given :
High capacity rats:
nh = 8
Xh = 89
s²h = 81
Low capacity rats :
nl = 8
Xl = 105
s²l = 169
Test statistic :
(Xh - Xl) ÷ Sp(sqrt(1/nh + 1/nl))
Pooled variance (Sp) :
[(nh - 1)s²h + (nl - 1)s²l] ÷ (nh + nl - 2)
[(8 - 1)*81 + (8 - 1)*169] ÷ (8 + 8 - 2)
(7*81 + 7*169) ÷ 14
= 1750 / 14
= 125
Hence,
(89 - 105) ÷ 125(sqrt[1/8 + 1/8)
16 ÷ (125 * 0.5)
16 /62.5
= 0.256
Rearrange
C=d+2/3
to make d the subject.
Answer:
d = C - 2/3
Step-by-step explanation:
Subtract 2/3 from both sides of the equation:
C = d + 2/3
-2/3 -2/3
-----------------
C - 2/3 = d
After rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
C=d + 2/3
C - 2/3 = d (subtract both side by 2/3)
or
d = C - 2/3 or
d = (3C-2)/3
Thus, after rearranging the expression and taking the subject d is d = C - 2/3 or d = (3C-2)/3.
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Solve the simultaneous equations
2x - 3y = 12
3x + 4y = 1
What am I doing wrong here?
Answer:
3
Step-by-step explanation:
2×-3y = 12 ( multiply whit 4)
3x + 4y =1 (multiply whit 3 )
8x -12y =48
9X+ 12y = 3
if you add this equations
17X =51
X= 51 / 17
x=3
There's your answer buddy!
Which of the following could be points on the unit circle?
Answer:
A and D
Step-by-step explanation:
Unit circle is a circle described by the equation
x^2 + y^2 = 1
We can try each pair and check
A. [tex](\frac{6}{7})^2 + (\frac{\sqrt{13}}{7})^2 = \frac{36}{49} + \frac{13}{49} = \frac{49}{49} = 1[/tex]
B. [tex](\frac{4}{3})^2 + (\frac{4}{5})^2 > (\frac{4}{3})^2 > 1[/tex]
C. [tex](\frac{1}{3})^2 + (\frac{2}{3})^2 = \frac{1}{9} + \frac{4}{9} = \frac{5}{9} < 1[/tex]
D. [tex](\frac{5}{13})^2 + (\frac{12}{13})^2 = \frac{25}{169} + \frac{144}{169} = \frac{169}{169} = 1[/tex]
Consider the following sample regressions for the linear, the quadratic, and the cubic models along with their respective R2 and adjusted R2.
Linear Quadratic Cubic
Intercept 29.83 29.35 26.88
x −0.04 0.16 2.11
x2 NA −0.02 −0.38
x3 NA NA 0.02
R2 0.001 0.001 0.008
Adjusted R2 −0.026 −0.053 −0.075
a. Predict y for x = 1 and 2 with each of the estimated models.
b. Select the most appropriate model.
1. Linear model
2. Cubic model
3. Quadratic model
Answer:
Kindly check explanation
Step-by-step explanation:
From the given information :
Linear model : y = - 0.04x + 29.83
Quadratic model : y = - 0.02x² + 0.16x + 29.35
Cubic model : y = 0.02x³ - 0.38x² + 2.11x + 26.88
Predicted y value for X = 1 ; X = 2
Linear model :
y = - 0.04(1) + 29.83 = 29.79
y = - 0.04(2) + 29.83 = 29.75
Quadratic model :
X = 1
y = - 0.02(1)^2 + 0.16(1) + 29.35 = 29.49
X = 2
y = - 0.02(2)^2 + 0.16(2) + 29.35 = 29.59
Cubic model :
X = 1
y = 0.02(1)^3 - 0.38(1)^2 + 2.11(1) + 26.88 = 28.63
X = 2
y = 0.02(2)^3 - 0.38(2)^3 + 2.11(2) + 26.88 = 28.22
Based on the R² value of the models given :
Linear ; R² = 0.001 ; R = sqrt(0.001) = 0.0316
Quadratic ; R² = 0.001 ; R = sqrt(0.001) = 0.0316
Cubic ; R² = 0.008 ; R = sqrt(0.008) = 0.089
Hence, the model which best fits the data is Cubic model.
How many triangles can be made with sides measuring 7 cm, 4 cm, and 5 cm
Answer:
One triangle
Step-by-step explanation:
Since the sum of the shorter two sides is greater than the larger side.
someone please answer this!!
Answer:
it 45
Step-by-step explanation:
u add 75 and 60 together which equals 135
then u subtract 135 from 180 and u get 45
what is the range of g?
Find the erea of the trapezoid.
show work for brainliest
Answer:
the area of the trapezoid is 32
Step-by-step explanation:
a (base)2
b (Base)6
h (height)8
subtract 8 from 10, then add n to the result
Answer:
(10-8) + n
Step-by-step explanation:
Good luck with your work!
Answer and Step-by-step explanation:
To subtract 8 from 10, it would look like this:
10 - 8.
Now, we add n to the result.
(10 - 8) + n
The question said not to simplify any part of this, so this is the expression.
(10 - 8) + n
#teamtrees #PAW (Plant And Water)
What is m<1
help thais would help
Answer:
it means it is less than one
anny has two boxes. One box contains 10 colored pencils, 4 of which are red and 6 of which are green. The other box contains 7 markers, 4 of which are red and 3 of which are blue. He chooses one colored pencil at random, and one marker at random. What is the probability of Manny choosing a green pencil and a red marker?
Answer:
12/35Step-by-step explanation:
p(green pencil) = 6/10 = 3/5p(red marker) = 4/7p(green pencil and red marker) = 3/5*4/7 = 12/35Find the value of the expression 4d ÷ c + 3 when c = 3 and d = 6
The value of the expression 4d ÷ c + 3 is 11.
What is Expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions.
A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression.
Given:
4d ÷ c + 3
Now, for d= 6 and c= 3
we have
4d ÷ c + 3
= 4(6) / 3 + 3
= 4(2) + 3
= 8+ 3
= 11
Hence, the value of the expression is 11.
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Can someone help me?
Answer:
x = 12 efg = 132
Step-by-step explanation:
Hi,
4x = 48
x = 12
Which means...
m < EFG is
4x
4 (12) = 48
m < EFG is 48 degrees
I hope this helps :)
FIRST ANSWER GETS BRAINLIEST!!!
Which situations can be simulated using this spinner? Select three options. (6 sided spinner)
I believe it is A and C.
There are 6 slots on the wheel, so both the numbers in A and E can be divided/multiplied to fit this criterion. For example, 3 times 2 is 6 (the number of gender slots) and 1 times 2 is two, so two out of 6 art teachers will be female.
I hope this helps!!!
My teacher asked me 7 x 1/5 of 19, and I got immediately stumped. My brain is mush today.
Answer:
No lol that seems very confusing but was it 26.6?
Answer: 26.6
Step-by-step explanation:
7 times 1/5= 7/5
7/5 times 19= 26.6
I hope ti helps and may God bless you! have a nice day, bye!
Please help, super confused!
Answer:
it is B
Step-by-step explanation:
HELP ME NO RANDOM ANSWERS
Answer: A
Step-by-step explanation:
The answer is letter A..
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
Answer:
300%
Step-by-step explanation:
By increasing the down payment from 1,000 to 4,000, how does the total purchasing cost change?
If down payment is increased from 1000 to 4000
Icecrement = 4000-1000
Increment =3000
Percentage increase = 3000/1000×100
Percentage increase = 3000/10
Percentage increas=300%
Please help me thanks
Answer:
11/13
Step-by-step explanation:
4 out of the 26 marbles are blue, meaning that the rest of the 22 marbles are not blue. (26-4=22)
This means that out of the total 26, the chance of not picking a blue marble are 22/26=11/13
The General Social Survey asked a large number of people how much time they spent watching TV each day. The mean number of hours was 2.98 with a standard deviation of 2.66. Assume that in a sample of 40 teenagers, the sample standard deviation of daily TV time is 1.9 hours, and that the population of TV watching times is normally distributed. Can you conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Answer:
Yes, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
Step-by-step explanation:
H0 : σ² = 2.66²
H1 : σ² < 2.66²
X²c = (n - 1)*s² ÷ σ²
sample size, n = 40
Sample standard deviation, s = 1.9
X²c = ((40 - 1) * 1.9²) ÷ 2.66²
X²c = 140.79 ÷ 7.0756
X²c = 19.897
Using a confidence level of 95%
Degree of freedom, df = n - 1 ; df = 40 - 1 = 39
The critical value using the chi distribution table is 25.6954
Comparing the test statistic with the critical value :
19.897 < 25.6954
Test statistic < Critical value ; Reject the Null
Hence, we can conclude that the population standard deviation of TV watching times for teenagers is less than 2.66
If there are 35 learners in this class, then determine the percentage of
learners who obtained a distinction (( > 80%).
Answer:
The question is an incomplete question
Find the length of the third side. If necessary, round to the nearest tenth.
15
9
The length of the third side is 12 units
How to determine the length of the third sideFrom the question, we have the following parameters that can be used in our computation:
A right triangle
This means that we can calculate the third length using the Pythagoras theorem
using the above as a guide, we have the following:
x = √(15² - 9²)
Evaluate the exression
x = 12
Hence, the third length is 12 units
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2 5/6+ 3 2/5 in simplest form.
Answer:
17/6 + 17/5
Step-by-step explanation:
pasagot po please...........
Answer:
1) ASA
2) SAS
3) SAS
4) SAS
5) SSS
Simplify each expression using the Order of Operations.
8-6 divided by 2+3 X 5
Answer:
8 - 6 ÷ 2 + 3 × 5
8 - 3 + 15
5 + 15
20
Eric is a great skateboard fan. He visits a shop named SKATERS to
check some prices. At this shop you can buy a complete board. Or
you can buy a deck, a set of 4 wheels, a set of 2 trucks and a set of
hardware, and assemble your own board. The prices for the shop's
products are:
Answer:
minimum: 80 zeds
maximum: 137 zeds
Step-by-step explanation:
minimum price is where you choose all the cheapest options
lowest deck price is 40, lowest wheel set price is 14...
40+14+16+10
=40+30+10
=80
maximum price is where you choose all the most expensive options
highest deck is 65, highest price of wheels are 36, hardware 20
65+36+16+20
=65+72
=137
what is the height of the cone
Answer:
28
Yes Pog, You are Poggers
Someone please help me out real quick?
Answer:
i think its c
Step-by-step explanation:
please help asap i’ll give brainliest it's due in 30 min
The hypotenuse = √2 · legs
x = √2 · 5
x = 5√2
One of the authors and some statistician friends have an ongoing series of Euchre games that will stop when one of the two teams is deemed to be statistically significantly better than the other team. Euchre is a card game and each game results in a win for one team and a loss for the other. Only two teams are competing in this series, which we'l call team 1 and team 2.
Required:
a. Define the parameter of interest.
b. What are the null and alternative hypotheses if the goal is to determine if either team is statistically significantly better than the other at winning Euchre?
Answer:
Parameter of interest is the proportion of games won by a certain team.
H0 : p = 0.5
H1 : p ≠ 0.5
Step-by-step explanation:
Parameter refers to any statistical measure which is derived from the population data. Therefore, the parameter of interest in the scenario described above is the proportion of win or loss by a particular team. This could be either team A or team B.
Probability of either of either win or loss :
Proportion, p of win = 0.5
Null hypothesis ; H0 : p = 0.5
Alternative hypothesis ; H1 : p ≠ 0.5