Answer:
99% confidence interval is 0.07 < σ < 0.32
Step-by-step explanation:
Given that;
standard deviation s = 0.12 sec
s² = 0.12² = 0.0144
degree of freedom DF = n - 1 = 8 - 1 = 7
99% confidence interval
∝ = 1 - 99% = 1 - 0.99 = 0.01
now, we find x² critical values for ∝/2 = 0.005 and 1 - ∝/2 = ( 1 - 0.005) = 0.995, df = 7
The Lower critical value [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] = 20.2777
The Upper critical value [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex] = 0.9893
Now, confidence interval is given by
√[ ( (n-1)×s² ) / ( [tex]X^{2}_{\frac{\alpha }{2}},7[/tex] ) ] < σ < √[ ( (n-1)×s² ) / ( [tex]X^{2}_{1-{\frac{\alpha }{2}},7[/tex] ) ]
so we substitute
√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]
√[ ( 7×0.0144 ) / ( 20.2777 ) ] < σ < √[ ( 7×0.0144 ) / ( 0.9893 ) ]
√0.0049711 < σ < √0.10189
0.0705 < σ < 0.3192
Rounding to the nearest 2 decimal places
0.07 < σ < 0.32
Therefore; 99% confidence interval is 0.07 < σ < 0.32
Triangle RST has vertices R(–1, 1), S(3, 1), and T(3, –4). What
are the coordinates of the image of RST after a translation 4 units to the left and 2 units down?
Answer:
R'(-5, -1) S'(-1, -1) T'(-1,-6)
Step-by-step explanation:
because the triangle is moving to the left, you subtract the number of units from the x coordinates of each vertex of the triangle. becasue the triangle is moving down, you subtract the number of units moved down from the y coordinates of each vertex.
can someone help with this plz:)
Answer:
XI and IX
Line above has arrow heads on both ends.
Step-by-step explanation:
XI and IX
Line above has arrow heads on both ends.
Can someone hurry please tell me the answer I will mark brainless
Answer:
C) z = 1/2
Step-by-step explanation:
4z + 5 = 7
4z = 2
z = 1/2
The carnival also offers two magic shows. The morning show is only 20 minutes and it costs $3.75. For the afternoon show, it is 35 minutes and costs $5.25. Which show would give you more for your money?
Answer:
id say to have 15 more minutes of show time and to only pay about 2 dollars more, the more reasonable show would be the second one.
Mr. Williams is making wooden toy trucks for a craft show. He has 85 pieces of wood for the trucks
Each truck requires 6 pieces of wood.
Part A
How many toy trucks can Mr. Williams make? Enter your answer in the box.
00:00
Part B
How many pieces of wood will he have left? Enter your answer in the box.
Part A: He could make 14 toy trucks.
Divide 85 by 6.
85/6
14
(don't take any notice to the decimals)
Part B: He would have 1 piece of wood leftover.
6x14=84
Since Mr. Williams has 85 pieces of wood,
he would have 1 leftover.
Hope this helped!
wat is x in 1/3x - 11 = 5
=48
Multiply by 1
Add 1 1 11 11
to both sides of the equation
Answer:
The answer is 48
Step-by-step explanation:
First, add 11 to both sides
5 + 11 = 16
1/3x = 16
Next, times 16 by 3
16 times 3 = 48
Check!
1/3(48) = 16
16 - 11 = 5
X = 48
1) 3x – 2y = 2
y = 2x + 8
alguien que me ayude con esto no lo entendemos gracias
The area of a parallelogram is 513cm² and the height is 19cm. Calculate the base length.
Inverse of functions:
Can someone please help me I’ve been trying to do this answer for the past hour and I still can’t solve it.
Answer:
I'm not sure sorry!! :(
Step-by-step explanation:
please help me with this
Answer:
the second one
Step-by-step explanation:
Who wants a foot cream pop tart
Answer:
ThAt sOunDs dEliCiOus
Step-by-step explanation:
Psych it sounds awful lol
me i want a foot cream pop tart
pls help guys im having trouble on this question and need help
Answer:
Edgar
Step-by-step explanation:
Just use a coordinate plane yourself, and follow the steps
x P(x) 0 0.25 1 0.3 2 0.1 3 0.35 Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal places
Answer:
The standard deviation of this probability distribution is 1.2.
Step-by-step explanation:
We have that:
P(X = 0) = 0.25
P(X = 1) = 0.3
P(X = 2) = 0.1
P(X = 3) = 0.35
Mean:
Each value multiplied by its probability. So
[tex]M = 0*0.25 + 1*0.3 + 2*0.1 + 3*0.35 = 1.55[/tex]
Variance:
Sum of the squares of the values subtracted from the mean, and multiplied by its probability.
[tex]V = 0.25*(0-1.55)^2 + 0.3*(1-1.55)^2 + 0.1*(2-1.55)^2 + 0.35*(3-1.55)^2 = 1.4475[/tex]
Standard deviation:
Square root of the variance. So
[tex]S = \sqrt{V} = \sqrt{1.4475} = 1.2[/tex]
The standard deviation of this probability distribution is 1.2.
What is the measure of each base angle of a 140 degree
Answer:
The two possible cases are
(i) the base angles are each 40° and the vertex angle is 100°,
(ii) the base angles are each 70° and the vertex angle is 40°.
Step-by-step explanation:
Find AC.
B
7x6
6x +4
Answer:
AC = 64
Step-by-step explanation:
the triangles are congruent because SAS
AC = AB
7x-6 = 6x+4
x = 10
AC = 64
IWHDHDNDJBFJDNX HELP!!!!!
Answer:
The answer should be B.
Step-by-step explanation:
I got the answer before. Can't remember if I was right. Also A can also be correct.
You go to a restaurant with 4 friends (total of 5 people), and decide to spli
the bill evenly. What portion of the bill are you responsible for?
Is the line through points P(2,-9) and Q(6, -13) perpendicular to the line through points R(5,-1) and
S(1,-5)? Explain
Answer:
yes they are perpendicular to eachother because when both the lines cross it makes a right angle 90 degrees making it perpendicular
Step-by-step explanation:
Stores often mark up items each year to cover inflation.
Last year, a CD at Juan's Tunes cost $12.95. This year,
the cost was marked up 8%. The store also gave anyone
who bought four CDs this
year a 10% discount. Explain
the steps to find the final cost for the four CDs this year.
Answer:
so you have $12.95. then you multiply it by 8% which gives you $13.986. Then you take 10% off of it, which gives you $12.5874.
Answer:
The new price would be 108% of last year’s price. Multiply the new price by 4 and then multiply that amount by 90% to find the sale price.
Step-by-step explanation:
sample response
3. Aşağıda verilen çıkarma işleminde bazı rakamların yerine semboller kullanılmıştır.
4 318
3 2*
4 1 A6
Buna göre, bu sembollerin yerine yazılması gereken rakamlar için (1+A)** işlemi-
nin sonucu kaçtır?
A) 28
B) 30
C) 55
D) 63
g
ANK-0502
Answer:
thr answers are A and D of the question
The H.C.F of 42,70 and 56
Answer: 14
Step-by-step explanation
Do the prime factorization & it will give you 14
The Jackson family went to soups and wiches and bought four sand which sand three bowls of soup for $27. The frank family went to soups and wiches and bought one bowl of soup and five sandwiches for $25.50. Let w represent the cost of the sandwich CNN es and a represent the cost of a bowl of soup. Identify which system of equations represents the situation.
Answer:
4w + 3c = $27
5w + c = $25.50
Step-by-step explanation:
Let us assume the w represent the cost of the sandwich
And, the c represent the cost of the bowl in a soup
Now the equations are
4w + 3c = $27
5w + c = $25.50
These two should be the equations that represent the situation
Each of the Space Shuttle's solid rocket motors burns 680,400 kilograms of propellant in 2.5 minutes. How much propellant does each motor
Answer:
Step-by-step explanation:
Find the missing number:
Answer:
20%
Step-by-step explanation:
Not sure if this is exactly correct, but let's say we start with 1 unit. If it increased by 25%, we get:
1 × 1.25 = 1.25 units.
Now, to get back to 1 unit, we need to find:
1.25 × ? = 1
? = [tex]\frac{1}{1.25}[/tex] = 0.80
So, 100% - 80 % = 20%
A 20% decrease.
Not completely sure though.
1 1/3 x 2 1/6=1/3 x ?/6=?
Answer:
the answer is : y=2
(btw I changed the ? into y. hope that's okay)
Three different accounts are described below.order the accounts according to their values after 10 years ,from greatest to least
Answer:
3.You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
1. You deposit $950 in an account that earns 9% annual interest compounded daily.
2. You deposit $1000 in an account that earns 8% annual interest compounded daily.
4. You deposit $1000 in an account that earns 10% simple interest.
Step-by-step explanation:
P.S - The exact question is -
To find - Three different accounts are described below. Order the accounts
according to their values after 10 years, from greatest to least.
1. You deposit $950 in an account that earns 9% annual
interest compounded daily.
2. You deposit $1000 in an account that earns 8% annual
interest compounded daily.
3.You deposit $1000 in an account that earns 9% annual
interest compounded semiannually.
4. You deposit $1000 in an account that earns 10% simple interest.
Proof -
1.)
Value after 10 years = 950( 1 + 0.09)¹⁰
= 950 ( 1.09)¹⁰
= 950(2.37) = 2248.995
⇒Value after 10 years = 2248.995
2.)
Value after 10 years = 1000( 1 + 0.08)¹⁰
= 1000 ( 1.08)¹⁰
= 1000(2.159) = 2158.925
⇒Value after 10 years = 2158.925
3.)
As it is compounded semiannually , so time period is doubles and rate goes half.
Value after 10 years = 1000( 1 + 0.045)²⁽¹⁰⁾
= 1000 ( 1.045)²⁰
= 1000(2.412) = 2411.714
⇒Value after 10 years = 2411.714
4.)
Value after 10 years = 1000×[tex]\frac{10}{100}[/tex]×10 = 1000
∴ we get
2411.714 > 2248.995 > 2158.925 > 1000
⇒ 3.) > 1.) > 2.) > 4.)
So,
3.You deposit $1000 in an account that earns 9% annual interest compounded semiannually.
1. You deposit $950 in an account that earns 9% annual interest compounded daily.
2. You deposit $1000 in an account that earns 8% annual interest compounded daily.
4. You deposit $1000 in an account that earns 10% simple interest.
Danny charges $30 for 3 hours of swimming lessons, Martin charges $38 for 2 hours of swimming lessons. Who offers a better deal?
Answer:
Danny
Step-by-step explanation:
Danny charges less because he only charges $30 for 3 hours of swimming lessons while Martin charges $38 for only 2 hours of swimming lessons.
20% of 2 is equal to
A. 20
B. 4
C. 0.4
Answer:
C
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
I dont have any explanation (sorry)
The Courtney family wants to expand their rectangular patio, which currently measures 13ftby 18 ft. They want to extend the length and width by the same amount to increase the total areaby 140 ft squared. Write a quadratic equation that models the situation. YOU DO NOT HAVE TO SOLVE.
Answer:
hi
Step-by-step explanation:
et the number of feet they are going to expand the width and length of the patio. ... But, we also know form our problem that they want to increase the total area of the patio by 160 ... Now we can equate the expanded area of the patio and simplify: ... Write the quadratic equation in standard form: x^2- 1 = -7x.
What base of this triangle
A. 10
B. 8
C. 80
D. 18
I gave Brainlist
Answer:
a is the base
Step-by-step explanation:
its right there