Answer:
90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]
Step-by-step explanation:
The data given is
Mean Std Dev
Before 177.25 29.325
After 169.50 22.431
Difference 7.75 8.598
Hence d`= 7.75 and sd= 8.598
The 90% confidence interval for the difference in means for the paired observation is given by
d` ± t∝/2(n-1) *sd/√n
Here t∝/2(n-1)=1.895 where n-1= 8-1= 7 d.f
and ∝/2= 0.1/2=0.05
Putting the values
d` ± t∝/2(n-1) *sd/√n
7.75 ±1.895 * 8.598 /√8
7.75 ± 5.7605
1.989 ,13.5105
90% confidence interval for the mean weight loss for the population represented by this sample assuming that the differences are coming from a normally distributed population is [1.989 ,13.5105]
Sangay runs 2/3 hours each day. how many hours does he run in two weeks?
Answer:
Step-by-step explanation:
2/3 x 14 = 28/3 = 9 1/3 hours in two weeks
(Geometry/shapes) Hi, can any expert guide me in solving this problem? or someone who knows this?
Trapezoid and Kites. (picture below)
69
Step-by-step explanation:
angles 111 and 3 are the same. in a trapezoid bottom base angles are the same and the top base angles are the same. so in order to find angle 2 you must subtract 111 from 180 because the top angles are supplementary to the bottom
180 - 111 = 69
Answer:
The answer will be 69
This is because angle 3 would also be 111
Angles in a quadrilateral add up to 360
So, 360-(111+111)
=138
there are two angles left, angle 1 ND 2, THEY ARE THE SAME VALUE. So DIVIDE 138 by 2, and you would get your answer 69 degrees.
Hope this helps!!
jessica has at least 20 pairs of shoes in her closet
What are the coordinates of the vertex of the graph of y = x2 + 8x + 1?
Answer:
y= x2 + 8x - 1 is y=(x+4) 2-17
Step-by-step explanation:
First find - b/2 = - 4, so -4 will be added to x inside the parenthesis.
Next , find c - b2 to find the value you added at the end
y= (x- b2) 2 + c - b2
y= (x+4) 2 - 17
Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?
Which calculation correctly uses prime factorization to write V48 in simplest form?
A. 48 = V2 -2 -2 -2 - 3 = 2V12
B. 48 = 14 - 12 = 2/12
C. 48 = V2 -2 -2 -2 - 3 = 4V3
D. V48 = 16 - 3 = 4V3
Answer:
C
[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]
The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as
48 = V2 -2 -2 -2 - 3 = 4V3
What is Prime Factorization in Math?Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.
We require to express 48 as the product of its prime factors as 48.
= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.
Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]
[tex]$=4 \sqrt{3}$[/tex]
[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.
Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.
To learn more about Prime Factorization
https://brainly.com/question/24612438
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Let V1=(1,2,-5)^T v2=((2,5,6)^T and b=(7,4,-3)^T cn be expressed as a linear combination of V1 and V2?
I assume the question is whether the vector b is a linear combination of v₁ and v₂. If it is, then that means there are scalars c₁ and c₂ such that
b = c₁ v₁ + c₂ v₂ ==> (7, 4, -3) = c₁ (1, 2, -5) + c₂ (2, 5, 6)
This gives the system of equations,
c₁ + 2c₂ = 7
2c₁ + 5c₂ = 4
-5c₁ + 6c₂ = -3
which has no solution, since
-2 (c₁ + 2c₂) + (2c₁ + 5c₂) = -2(7) + 4 ==> c₂ = -10
but substituting this into any two equations in the system gives contradictory results. For instance,
c₁ + 2c₂ = c₁ - 20 = 7 ==> c₁ = 27
2c₁ + 5c₂ = 2c₁ - 50 = 4 ==> c₁ = 27
-5c₁ + 6c₂ = -5c₁ - 60 = -3 ==> c₁ = -57/5
This means that b is not a linear combination of v₁ and v₂.
jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.
how much sparkiling water does jada need if she uses 15 cups of apple juice?
solve the answer with a full explanation
Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
the sum of three numbers is 59. the second number is less than the first. the third number is 2 times the first. what are the numbers?
if f(x)=3x-2 and g(x)=2x+1, find (f-g)(x)
A. x-3
B. 5x-3
C. 5x-1
D. 3-x
Answer:
A. x-3
Step-by-step explanation:
f(x)=3x-2 and g(x)=2x+1
(f-g)(x) = 3x-2 - (2x+1)
Distribute the minus sign
(f-g)(x) = 3x-2 - 2x-1
Combine like terms
= x -3
i need help please!!!!!!
Answer:
THE ABSWER IS OPTIOM 1 AINCE ITS BEE SIMPLE AND IR CAN BE MORE IF U CAN TRY BUT U DONT NEED TK
Answer:
Step-by-step explanation:
My car payment is 312.67. My water bill is 12percent of the car payment. How much is the water bill
Answer:
275.15
Step-by-step explanation:
312.67 * 12% = 37.52
312.67 - 37.52 = $275.15
Find the balance of the account earning interest compound annually.
$7000 at 4% for 2 years
9514 1404 393
Answer:
$7571.20
Step-by-step explanation:
Each year, the balance is multiplied by 1+4% = 1.04. After 2 years, the balance is ...
$7000 × 1.04 × 1.04 = $7571.20
_____
Additional comment
The repeated multiplication is usually indicated with an exponent:
$7000×1.04²
what digit could be in the ten millions place of a number that is greater than 70,000,000 but less than 100,000,000
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro
Find the area of the figure shown
Area = ------- square yards
Answer:
70
Step-by-step explanation:
area = l×w×h
area= l×h
2l×2h
When factored completely, the expression 6x3 – 5x2 – 13x + 12 is
equivalent to
a. (2 – 1)(2x - 3)(3x + 4)
b. (x + 1)(2x + 3)(3x + 4)
c. (x + 1)(2x − 3)(3x – 4)
d. (x - 1)(2x + 3)(3x – 4)
Answer:
d. (x - 1)(2x + 3)(3x - 4)
Step-by-step explanation:
6x³ - 5x² - 13x + 12
6x³ + x² - 12x - 6x² - x + 12
x(6x² + x - 12) - 1(6x² + x - 12)
(x - 1)(6x² + x - 12)
(x - 1)(6x² + 9x - 8x - 12)
(x - 1)(3x(2x + 3) - 4(2x + 3))
(x - 1)(2x - 3)(3x - 4)
Answer:
( x - 1 )( 2x + 3 )( 3x - 4 )
Step-by-step explanation:
Hope this helps!
Terri wants to know the value of n in the equation 7.638xn=763.8 what value for n makes the equation true?
Answer: 100
Step-by-step explanation:
Since we are given the equation 7.638 × n = 763.8 and told that Terri wants to know the value of n in the equation that will make it true. To do this goes thus:
7.638 × n = 763.8
7.638n = 763.8
Divide both side by 7.638
7.638n/7.638 = 763.8/7.638
n = 100
Therefore, n = 100 will make the equation true.
someone please help me answer this
Answer:
77.91 units²
or
77.91 square units
Step-by-step explanation:
the area of a circle is A=pi*r²
since we only need a certain fraction, we will multiply it with 62/360
62° is the given angle. 360° would be the full circle
A = pi * 12² * 62/360
note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared
write the first ten prime numbers in the line. delete 6 digits to get the largest possible number
9514 1404 393
Answer:
7317192329
Step-by-step explanation:
The first 10 primes are ...
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
The number of interest will keep getting larger as long as the first (or next needed) digit keeps getting larger. That is, we want to delete any digit that is not greater than the one previous. Following this rule until we have deleted 6 digits, we find the largest number to be ...
7317192329
_____
The digits deleted are those in bold in the list of primes.
Answer:
7317192329Step-by-step explanation:
hope it helps
|-2 + 5 | - |3 - 12| - 13=
Answer:
-19
3 - 9 - 13 = -19
Step-by-step explanation:
If tickets for a concert cost $9 each, how many tickets can you buy if you have $135?
Write an equation and solve by guess-and-check.
9
c. 9x = 135; 15 tickets
135, 15 tickets
a
X
b. 9 + x = 135; 15 tickets
d. 9 - x = 135: 15 tickets
Answer:
15
Step-by-step explanation:
135 divided by 9 = 15
What is the value of y?
Answer:
The answer is C (46)
Step-by-step explanation:
Since the measurement of the triangle is 180 then you must subtract 180 by 88 to create 92 and divided that 92 by 2 to get 46.
A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use 3.14 for TT.
Answer:
It's volume is of 84.78 cubic inches.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder with radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
A cylinder has a height of 12 inches and a radius of 1.5 inches.
This means that [tex]h = 12, r = 1.5[/tex]
What is its volume?
[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]
It's volume is of 84.78 cubic inches.
Determine whether the following statement is always, sometimes, or never true.
If two pairs of corresponding sides of two right triangles are congruent, then the triangles are
congruent.
Answer:
this statement is true because then the triangles will be congruent by rhs axiom
The Pythagorean Theorem (image below)
why is the expiry date necessary
Answer:
Expiration dates are especially important for medications because they offer the only indication about whether the product is still safe to use. Food items, on the other hand, often look or smell bad when they have passed their "best-buy" dates.
Step-by-step explanation:
The mass of a dime is about 0.002268 kg. Which is the best estimate of the mass?
A 2 x 10-3
B 2 x 10-2
C 2 x 102
D 2 x 103
Answer:
A.
[tex] = > \: 2 \times {10}^{ - 3} [/tex]
\Suppose that a person has an average heart rate of 88.6 beats/min. (Express your answers to problems in this section to the correct number of significant figures and proper units.) (a) How many beats does he or she have in 5.0 y
Answer:
He or she has 232,840,800 beats in five minutes.
Step-by-step explanation:
This question is solved by proportions.
In this question:
A year has 365 days.
Each day has 24 hours.
Each hour has 60 minutes.
Minutes in five years:
5*365*24*60 = 2,628,000 minutes.
How many beats in five minutes?
88.6 beats/min, 2,628,000 minutes. So the number of bears is:
88.6*2628000 = 232,840,800
He or she has 232,840,800 beats in five minutes.
Helpppp quiccckkkkkm
Answer:
a) G
b) C
Step-by-step explanation:
Triangle A is congruent to triangle G
Triangle D is congruent to Triangle C
Choose the graphs that indicate equations with no solution
Answer:
A and E
Step-by-step explanation:
Given
Graphs A to E
Required
Which do not have solutions
When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.
Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.
