Answer:
[tex]t = 0.875[/tex]
Step-by-step explanation:
Given
Brand A Brand B
[tex]n_ 1= 12[/tex] [tex]n_2 = 12[/tex]
[tex]\bar x_1 = 21.8[/tex] [tex]\bar x_2 = 18.9[/tex]
[tex]\sigma_1 = 8.7[/tex] [tex]\sigma_2 = 7.5[/tex]
Required
Determine the test statistic (t)
This is calculated as:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
Calculate s using:
[tex]s = \sqrt{\frac{(n_1-1)*\sigma_1^2+(n_2-1)*\sigma_2^2}{n_1+n_2-2}}[/tex]
The equation becomes:
[tex]s = \sqrt{\frac{(12-1)*8.7^2+(12-1)*7.5^2}{12+12-2}}[/tex]
[tex]s = \sqrt{\frac{1451.34}{22}}[/tex]
[tex]s = \sqrt{65.97}[/tex]
[tex]s = 8.12[/tex]
So:
[tex]t = \frac{\bar x_1 - \bar x_2}{s\sqrt{\frac{1}{n_1} + \frac{1}{n_2}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{12} + \frac{1}{12}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * \sqrt{\frac{1}{6}}}[/tex]
[tex]t = \frac{21.8 - 18.9}{8.12 * 0.408}}[/tex]
[tex]t = \frac{2.9}{3.31296}}[/tex]
[tex]t = 0.875[/tex]
20 minus 8 help
.... 6×7. 2 differt questions answer separately
20-8=12
6x7=42
i shall say this is correct
Answer:
43.2
Step-by-step explanation:
What is 6 cups divided equally into four containers
Answer:
6x4=24 it's either this one or the one on top
Work out the area of a rectangle with base, b = 20mm and perimeter, P = 60mm.
b
The diagram is not drawn to scale.
base+perimeter
20mm+60mm
=80mm
In a class of 6, there are 2 students who forgot their lunch.
If the teacher chooses 2 students, what is the probability that both of them forgot their lunch?
Answer:
1/8
Step-by-step explanation:
AB,AA,BB,BB,BB,BB,BB,BB,
*A IS THE students that forgot thier lunch
can you share 1 one with 6 groups
Answer:
it all comes down to what it is! if it's like big bag, and how big the groups are, then you would have to estimate! if it's like a single pack on candy then no
Write each absolute value in a box to show the order from least to greatest.
|11| |–8| |–2| |5| |–12|
Answer:
|–2| |5| |–8| |11| |–12|
Answer:
|-2|,|5|,|-8|,|11|,|-12|
Step-by-step explanation:
This is the order because |-2| in absolute value is positive 2 and |11| in absolute value is still positive because you don't change the sign unless the ll was negative in absolute value.
The best fruit punch requires 2/5 cup of juice concrete to 3/7 cups of water. To maintain the same taste, how many cups of water should be used for every cup of juice concentrate?
a. 6/35
b. 14/15
c. 29/35
d. 15/14
Answer:
D) 15/14
Step-by-step explanation:
Divide 3/7 by 2/5
Question 5 (5 points)
(06.02 LC)
A scatter plot is shown:
Which graph best represents the line of best fit for this scatter plot?
Answer:
um i cant see the answer choices
Step-by-step explanation:
Answer:
it is not clear
Step-by-step explanation:
it is not clear
Select the correct answer from each drop-down menu.
If the radius of a circle is 3.5 Inches, Its diameter is
Inches and its approximate area is
square Inches.
Answer:
Diameter = 7 inches
Area = 38.48 in²
Step-by-step explanation:
Diameter = 3.5 x 2 = 7 inches
Area = 3.5² x π = 38.48 in²
Can you help me please here is the image
Answer: D all of the above
Step-by-step explanation:
A. you can see that the majoritie of the area is dessort becuase of the long expance of lack of vegitation and water
B. Because there is no other water sourses the cities would have to be along water
C. Along the nile river is vegitation
D. Must be D.
What is the correct answer?
Answer:
right 6
down 3
Step-by-step explanation:
Take 1 point and make it go from red to blue. All the rest will do the same thing.
This is just an random choice. Choose the lowest point on the red. It is at
(-3, - 2)
Now to go to the lowest point on the blue, you start by going right from - 3 to + 3 That is 6 units to the right.
Now it also goes down. The red point is -2 for the y or down direction.
It goes down to - 5. So that's down 3 units.
In a class of 80 students,40 study physics,48study mathematics and 44 study chemistry,20 study physics and mathematics,24 study physics and chemistry and 32 study only two of the three subjects.Of every student studies at least one of the three subjects.Find ; 1.The number of students who study all the three subjects.2.The number of students who study only mathematics and chemistry.
Answer:
80+40+44-20÷24+32 ♡♡♡
Using set operations,
1.The number of students who study all the three subjects = 10
2.The number of students who study only mathematics and chemistry = 8
What are set operations?Set operations are the operations that are applied on two or more sets to develop a relationship between them. There are four main kinds of set operations which are as follows.
Union of setsIntersection of setsComplement of a setRelative ComplementLet mathematics = M, physics = P, chemistry = C.
n(M∪P∪C) = 80
n(M) = 48
n(P) = 40
n(C) = 44
n(M∩P) = 20
n(M∩C) = ?
n(C∩P) = 24
n(M∩P) + n(M∩C) + n(C∩P) - 3n(C∩P∩M) = 32
20 + n(M∩C) + 24 - 3n(C∩P∩M) = 32
n(M∩C) = 3n(C∩P∩M) - 12 - *
We know,
n(M∪P∪C) = n(M) + n(P) + n(C) - n(M∩P) - n(M∩C) - n(C∩P) + n(C∩P∩M)
80 = 48 + 40 + 44 - 20 - n(M∩C) - 24 + n(C∩P∩M)
n(M∩C) = n(C∩P∩M) + 8 - **
Equating * and **,
n(C∩P∩M) + 8 = 3n(C∩P∩M) - 12
2n(C∩P∩M) = 20
n(C∩P∩M) = 10
putting the value of n(C∩P∩M) in *
n(M∩C) = 18
n(M∩C) - n(C∩P∩M) = 8
Learn more about set operations here
https://brainly.com/question/17469840
#SPJ2
Does all of these ordered pairs represent a function (-1,1), (3,11), (-4,-3), (-2,8), (0,5)
Yes. In mathematics, a function is a binary relation between two sets that associates to each element of the first set exactly one element of the second set.
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hope it helps
ILL GIVE BRAINLIEST TO WHO EVER CAN ANSWER MY LAST QUESTION
When it comes to reimbursement packages, company A offers $175 plus
$0.55 per mile. Company B offers $200 plus $0.45 per mile. What number of
miles driven would make the two reimbursement packages equal?
O A. 225
B. 245
O c. 250
O D. 305
Aubrey was buying candy for goodie bags for her birthday party. She bought 6 pounds of Jelly beans. How much did she spend on Jelly Beans? (please don´t guess)
Answer:
$8.35
Step-by-step explanation:
6 pounds is $8.35
- >
2X 14
2x 6 x 6 > 14
14 - 6
-2
- 2x o 7 8
X - 4
0 4)
3(244) + 1) 2 (2y 3) 8
Answer:
no te entiendo, puedes escribir la pregunta completa
Convert: 112 meters =______________________
centimeters
Answer: m cm
112.00 11,200
Step-by-step explanation:
In the ordered pair of numbers (-2,8) the number - 2 is called the
and the number 8 is called the
Answer:
x co-ordinate and y co-ordinate
PRETTY PLEASE HELP!! ILL GIVE BRAINLIEST! it’s due tonight :(
Answer:
a = 8 m
Step-by-step explanation:
Since, given is an isosceles right triangle.
So, by Pythagoras theorem:
[tex] {a}^{2} + {a}^{2} = {(8 \sqrt{2} )}^{2} \\ \\ 2 {a}^{2} = 128 \\ \\ {a}^{2} = \frac{128}{2} \\ \\ {a}^{2} = 64 \\ \\ a = \sqrt{64} \\ \\ a = 8 \: m[/tex]
Find the 12" term of the arithmetic sequence whose common difference is d=8 and whose first term is a = -2.
Can someone please help me?
Answer:
86.
Step-by-step explanation:
nth term = a1 + d(n - 1) so here we have:
12the term = -2 + 8( 12 - 1)
= -2 + 88
= 86.
Select the lesser of the two given numbers.
16, 1-19
If 2h=81^2−19^2, then find the value of h.
Answer:
h = 3100
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
2h = 81² - 19²
Step 2: Solve for h
Evaluate exponents: 2h = 6561 - 361Subtract: 2h = 6200[Division Property of Equality] Divide 2 on both sides: h = 3100Answer:
2h = 81^2 - 19^2
2h = 6561 - 361
2h = 6200
h = 6200/2
h = 3100
a family of seven people needs 45 Kg rice for a week how much rice does the family need for a month
Answer:
there are 4 weeks in a month so if 45 kg is for 1 week then
Step-by-step explanation:
x=4 (weeks in a month)
=45x
=180 kg of rice
What's is another name for m? Y = mx
Step-by-step explanation:
it's slope intercept form
Answer:
slope (I think)
Step-by-step explanation:
I need help please help
Answer:
137
Step-by-step explanation:
Pls this one more i will 20 point
Answer:
u dont have a question attached
Step-by-step explanation:
a rectangular prism with a volume of 10 cubic units is filled with cubes with side lenghts of 1/2 unit how many 1/2 unit cubes does it take to fill the prism
Answer:
Step-by-step explanation:
The volume of a cube is
V=s^3, we are told the volume is 10u^3 and that it will be filled with cubes having a side of 1/2 so
n(1/2)^3=10, where n will be the number of these small cubes
n(1/8)=10 upon multiplying each side by 8
n=80
So it will take 80 cubes of side length 1/2 to have a volume equal to 10u^3
which expression is equivalent to this expression?
thank you :)
Answer:
C. -4x - 1
Step-by-step explanation:
[tex]-\frac{1}{2}(8x+2)[/tex]
Distribute the term outside of the parenthesis, Multiply each term in the parenthesis by the term outside (do not forget to include the negative sign when multiplying);
[tex](-\frac{1}{2}(8x))+(-\frac{1}{2}(2))[/tex]
Simplify,
[tex]-4x - 1[/tex]
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test. Assume that the researcher’s claim is true. Suppose a driving test is given to a random sample of 90 high school seniors and a separate random sample of 85 high school freshmen. Let and be the sample proportions of seniors and freshmen, respectively, who pass the test. What are the shape and mean of the sampling distribution of ? skewed left with mean –0.35 skewed right with mean 0.625 exactly Normal with mean 0.35 approximately Normal with mean 0.35 approximately Normal with mean 0.625
Answer:
approximately Normal with mean 0.35
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
A researcher reports that 80% of high school seniors would pass a driving test, but only 45% of high school freshmen would pass the same driving test.
This means that [tex]p_1 = 0.8, p_2 = 0.45[/tex]
Subtraction of Variable 1 by Variable 2:
By the Central Limit Theorem, the shape will be approximately normal.
The mean is the subtraction of the means of each proportion. So
[tex]p = p_1 - p_2 = 0.8 - 0.45 = 0.35[/tex]
So the correct answer is given by:
approximately Normal with mean 0.35