For a 95% confidence interval based on 12 observations, the critical value t* would be 2.201. For a 99% confidence interval from an SRS of 2 observations,
To determine the critical value t* for a confidence interval, we need to consider the confidence level and the sample size. The critical value is obtained from the t-distribution table or using statistical software.
For a 95% confidence interval based on 12 observations, we use a t-distribution with n-1 degrees of freedom. In this case, the critical value t* is 2.201.
For a 99% confidence interval from an SRS of 2 observations, we have a small sample size. Since the sample size is small, we use a t-distribution with n-1 degrees of freedom. The critical value t* for a 99% confidence interval is 42.210.
For a 90% confidence interval from a sample of size 1001, we have a large sample size. In this case, we can approximate the t-distribution with the standard normal distribution, which has a critical value of approximately 1.645 for a 90% confidence interval. Therefore, the critical value t* is 1.646.
These critical values are used to determine the margin of error in constructing confidence intervals for the mean of the population.
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Last year there were 80 members in chess club this year membership decreased by 20% how many members are there? Sorry
Answer:64 people
Step-by-step explanation: total no. of members=80
%decrease=20
20/100 x 80=16(people that left)
people rem.=80-16
If Danielle can spend no more than $75 on clothes, and wants a pair of shoes for $40 and will spend the rest of the money on $12 scarves, what is her rate of change ?
Answer:
$6
Step-by-step explanation:
$75 - $40 = $30
With $30, the maximum number of scarves you can get is 2.
$30 - $24 = $6
Hope that helps!
Step-by-step explanation:
$6
the max number of scarves she can get is 2
hope this helps
use greatest common factor and distributive property to write equivalent expressions 5x+20y
Answer:
I think it is 5 if I did it right
S
Greg’s family went to the movie theater and bought tickets and popcorn. They spent $35 altogether with $9.50 spent on popcorn. Write an equation that can be used to find out how much money x they spent on tickets.
Answer:
x + 9.50 = 35
Step-by-step explanation:
The missing variable in this case is the number of dollars they spent on tickets. In total, combined the tickets and popcorn is equal to 35$,
We already know the amount they spent on popcorn.
X, the amount they spent on tickets + 9.50=35
El perímetro de un rectángulo es 36cm Uno de los lados es 6cm más que el otro lado ¿ Cual es el área del rectángulo?
I don't remember how to do this question,
also I'm really sorry I keep posting alot of math stuff today, I just have a lot of math that needs to get done today, I'd rather not spend my whole weekend doing school work LOL
Answer:
x and p equal 92 and y equals 88
verify that the segments are parallel
Answer:
We know that lines AB and CD are parallel because if you expand them, we know they will never touch.
Step-by-step explanation:
please help me on this will give you brainliest
Answer:
7.76 × 10^8
Step-by-step explanation:
Answer:
i think i would be 1.94x10^8
Step-by-step explanation:
solve for x or find x
Answer:
x = 18
Step-by-step explanation:
diagonals bisect each other so 12x = 216
x = 216/12
x = 18
Find the slope of a line that passes through the points (-1, -3) and (2, -2).
Answer:
Step-by-step explanation:
(-2 + 3)/(2 + 1) = 1/3 is the slope
compare the rates to find which is greater.
50 envelopes for $2.49 or
90 envelopes for $5.50
The dimensions of a square are altered so that one dimension is increased by 7 feet, while the other is decreased by 2 feet. The are of the resulting rectangle is 90ft^2. Find the original area of the square.
Answer:
64 ft^2
Step-by-step explanation:
(x+7)(x-2)=90
x^2-2x+7x-14=90
x^2+5x-104=0
factor
(x+13)(x-8)=0
x=-13
x=8 ft original square side
area=8x8=64
Answer:
64 ft^2
Step-by-step explanation:
122 cats
Mrs. Roberts is 3 times as old as her son. The sum of their ages is 48 years.
How old was Mrs. Roberts when her son was born?
Answer:
24
Step-by-step explanation:
To find how old Mrs. Roberts was when her son was born, we first need to know both of their ages. I'm going to give Mrs. Roberts the variable m and her son the variable s.
Let's turn the two sentences about their ages into equations:
m=Mrs. Roberts and 3s= three times as old as her son
m=3s
m+s is the sum of their ages
m+s=48
Now substitute the first equation into the second one:
m+s=48
(3s)+s=48
4s=48
s=12
The son is 12 years old. Now substitute s into one of the equations to solve for the mother's age:
m=3s
m=3(12)
m=36
Mrs. Roberts is 36. Since they are asking how old she was when her son was born, we will subtract her son's age from her age, since she would be 12 years younger:
36−12=24
Mrs. Roberts was 24 when her son was born.
credit to CountryGirl on Socratic Q&A
help this makes no sense to me and its due in 1 day
First we can find the line RT which is the square root of 40^2-32^2 which is equal to 24.
RT=24
Right Triangle Altitude Theorem Part: The measure of the altitude drawn from the vertex of the right angle of a right triangle to its hypotenuse is the geometric mean between the measures of the two segments of the hypotenuse.
The geometric mean of 32 and TS is 24, so set up equation.
2nd root or square root of 32*TS=24
32*TS=576
TS=18
QS=18+32=50
I hope this answer helped if you have any questions feel free to ask me in the comments.
Jackson hikes 220.2 meters up a mountain. If he is 60% of the way up, how tall is the mountain? 132.12 meters
Answer:
367meters
Step-by-step explanation:
220.2 = 0.6 * h
220.2/0.6 = 0.6 * h / 0.6
367 = h
367 meters
can anyone help me create 3 Algebra Word Problems
Line G has a slope of -2/3. Line age is perpendicular to G. What is the slope of line h?
Perpendicular lines has negative reciprocal slopes.
"Negative reciprocal" is just a fancy way of
saying flip the fraction and change the sign.
So flipping the fraction gives us -3/2 and change the sign to get +3/2.
Solve the inequality.
20 + 8.1 > 28
Answer:
You can't solve since there is no variables
The inequality from the question is true
find the common factors of the given terms 1. 12x, 36. 2. 2y, 22x. 3. 14pq, 28p^2 q^2
Answer:
answer 1. 12. 2nd is 2. and 3rd is 14pq
hope it helps
Can some one help please
Answer:
y=7x+6
Step-by-step explanation:
hope i helped
Please help!!
Given f(x) = 3x-4 and g(x) = 2x+6 , find (fog)(x)
Answer:
[tex](f\circ g)(x)=6x+14[/tex]
Step-by-step explanation:
We are given the two functions:
[tex]f(x)=3x-4\text{ and } g(x)=2x+6[/tex]
And we want to find:
[tex](f\circ g)(x)[/tex]
This is equivalent to:
[tex]=f(g(x))[/tex]
Then by substitution:
[tex]=f(2x+6)=3(2x+6)-4[/tex]
Evaluate:
[tex]=f(g(x))=6x+18-4=6x+14[/tex]
Therefore:
[tex](f\circ g)(x)=6x+14[/tex]
Subtract the following polynomials
1. (q² + 8) - (4q² + 1)
2. (3x + 7x² - 6) - (5x² + x + 9)
Answer:
1. (q² + 8) - (4q² + 1)
Simplify each term.
q²+8−4q²−1
Simplify by adding terms.
−3q²+7
2. (3x + 7x² - 6) - (5x² + x + 9)
Simplify each term.
3x+7x²−6−5x²−x−9
Simplify by adding terms.
Tap for more steps...
2x²+2x−15
Step-by-step explanation:
Find the missing part .
Name the triangle
Please help fast
Answer:
B. Equilateral
It is an equilateral triangle
As we can see all sides are equal.
Equilateral Triangle
Step-by-step explanation:
One coffee and two slices of cake cost 8 dollars in total. Two coffees and 3 slices of cake cost 14 dollars in total. What are the individual prices of one coffee and of one slice of cake?
Answer:
Step-by-step explanation:
coffee=c
cakes=d
c+2d=8
2c+3d=14
c=8-2d
2(8-2d)+3d=14
16-4d+3d=14
-d=-2
d=2
c+4=8
c=4
coffee=4 dollars each
cakes=2 dollars each
The price of coffee is $4 and price of slice of cake is $2.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
One coffee and two slices of cake cost 8 dollars in total.
Two coffees and 3 slices of cake cost 14 dollars in total.
let the price of coffees sold be x
let the price of slices of cake sold be y
Then, the system of equations are
x+ 2y = 8
2x+ 3y = 14
On solving
2(8- 2y)+ 3y= 14
16 - 4y + 3y= 14
-y= -2
y= 2
and, x = 8- 2(2)= 8- 4= 4
Hence, price of coffee is $4 and price of slice of cake is $2.
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A number line going from negative 3 to positive 3 in increments of 1.
Which statements are true? Check all that apply.
Negative 2.5 = negative 2 and one-half
–1.5 > –0.5
–0.5 < 0
–2.5 < –2
1 and one-half greater-than 1.5
Answer:
1., 3., and 4.
Step-by-step explanation:
It's C.
Or how other people say it,
3 or –2.5 < –2
If using the method of completing the square to solve the quadratic equation x^2-20x+33=0x
2
−20x+33=0, which number would have to be added to "complete the square"?
Answer:
The complete square of the given quadratic equation
( x - 10)² = 67
The solution of the quadratic equation
x = 18.2 and x = 1.8
Step-by-step explanation:
Step(i):-
Given that the quadratic equation
x² - 20 x +33 =0
x² - 2(10) x +(10)²-(10)²+ 33 =0
By using (a-b)² = a² -2ab + b²
( x - 10)² -100 +33 =0
( x - 10)² - 67 =0
( x - 10)² = 67
Step(ii):-
The complete square (x - 10)² = 67
x -10 = ±√67
x -10 = ± 8.1853
x -10 = 8.2 and x -10 = -8.2
x = 10+8.2 and x = 10 -8.2
x = 18.2 and x = 1.8
A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?
Step-by-step explanation:
2/5 x 1/3 = 2/15 inches squared
PLEASE EXPLAIN HOW U DID IT, giving brainliest
9514 1404 393
Answer:
(b) 30
Step-by-step explanation:
The standard form of a quadratic is ...
y = ax^2 +bx +c
For such a function, the axis of symmetry is ...
x = -b/(2a)
Your quadratic function has a=-5, b=+300, so the axis of symmetry is ...
x = -300/(2(-5) = 30
The peak of the curve is on the axis of symmetry. So, profit is maximized when 30 items are produced.
_____
Of course, a graphing calculator can display the maximum of the function easily.
So hard. Dont reports I actually cant take the pictures off, I needed help with a question but they dont come off. Also what's the square root of 282.93?
Answer:
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