Using the t-distribution, as we have the standard deviation for the sample, the 95% confidence interval is (71.63, 84.36).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 4 - 1 = 3 df, is t = 3.1824.
The parameters are given as follows:
[tex]\overline{x} = 78, s = 10, n = 4[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 78 - 3.1824\frac{10}{\sqrt{4}} = 71.63[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 78 + 3.1824\frac{10}{\sqrt{4}} = 84.36[/tex]
The 95% confidence interval is (71.63, 84.36).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Answer:
(62.09, 93.91)
Step-by-step explanation:
The correct answer on Khan
Use the quadratic formula to solve the equation: 3x2−6x+1=0
Answer:
3x2-6x+1=0= 7/6
Step-by-step explanation:
3x2-6x+1=0
-6x=-7
than divide each term in -6x=-7 by -6 and simplify
x= 7/6
Answer:
x = 1.816 and 0.1835
Step-by-step explanation:
See attachment.
PLEASE HURRY what is the mode of the data represented in this line plot?
Answer:
2
Step-by-step explanation:
mode of a dot plot is the value that appears most often in a set of data
Answer:
2 is the mode of this data
Jody has already hiked 4 kilometers. The trail is 12 kilometers long. She can hike 2.5 kilometers per hour. Which function will help Jody will help figure out how many more hour, h, she needs to hike?
Answer:
2.5h + 4 = 12 is your equation
2.5h = 12 - 4
2.5h = 8
h = 8 / 2.5
h = 3.2 hrs
Step-by-step explanation:
Answer:
2.5h + 4 = 12 is your equation
2.5h = 12 - 4
2.5h = 8
h = 8 / 2.5
h = 3.2 hrs
How much is the tax on a $30.00 shirt if the tax rate is 10%?
1. $3.00
2. $8.00
3. $15.00
1. $10.00
Answer:
3
Step-by-step explanation:
$30 dollars is the principal.
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.
7) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y= -3/2x+2
B: y= -1/2x-2
Step-by-step explanation:
slope intercept form
y=mx+b
III NNNNEEEEEEED HHHEEEEEEELLLLLPPPPP!
Answer:
27 units
Step-by-step explanation:
To find the volume you do length x width x height. 3 x 3 x 3 is 27.
I NEEED HELP PLEASEE
Answer:
D
Step-by-step explanation:
Additive Inverse Property is the idea that you are adding the same number but positives and negatives of it. So, the correct answer is D.
Hope that helps!
José is driving on a highway. The equation d
55t relates the
number of miles d and the amount of time in hours t. About how
many hours does José spend driving 100 mi?
Answer:
it takes José an 1.18181818 hours
Step-by-step explanation:
since d is miles you replace the d in the equation with 100
so: 100=55t
divide both sides by 55
1.18181818=t
A company makes several sizes of phones. For each size, the ratio of the height of the screen to its width is 18:9. Write an equation that shows how to find the height in inches of any of the company's phone screens based on the screen's width in inches. Show your work.
The equation which shows how to find the height in inches of based on the screen's width is; h=2w
What is the screen's height in terms of the screen's width?According to the taks content!
The ratio of the height of the screen to its width is 18:9.
On this note, it follows that;
h/w = 18/9
By making the h the subject of the formula;
h = 18w/9
h = 2w.
Read more on ratios;
https://brainly.com/question/2328454
what two numbers add to make -25 but multiply to make 150
need some help with the question in the image
Cheers
2,700 yan po ang answer hehe tama yan
Which equation describes this line?
Answer:
y=2x+4
Step-by-step explanation:
**Your line isn't clearly shown on point with the grid**
If you want this in the slope-intercept form then here it is:
Slope-intercept formula: y=mx+b
Your coordinates: (-3,2) and (1,10)
To find the slope (which is the "m" in the formula) you need to do this formula:
y2 - y1 / x2 - x1 =
(The 2's and 1's should be subscript)
10-2/1-(-3) = 8/4
8/4=2
The slope should be 2
Formula right now: y=2x+b
You need to find the y-intercept:
That should be a point on the y-axis.
(0,n) **N is used for a variable since we don't have a number yet.
In your coordinate plane, (0,4) is your y-intercept.
When writing the y-intercept in the formula don't write a coordinate write the "y"
Formula: y=2x+4
Help!! I need to pass this class by the end of this week!!!!
Answer:
It is -1 because it is on the x-axisStep-by-step explanation:
Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds. Samantha knows that concrete weighs 150 pounds per cubic foot. What is the radius, in feet, of the sphere that Samantha will create?
Answer:200
Step-by-step explanation:
Math problem 50 points
Answer:
Start with 1st one
Step-by-step explanation:
1-1st one
2-3rd one
3-7th one
4-2nd one
5-6th one
6-4th one
7-5th one
8-8th one
Answer: u said 50
Step-by-step explanation: acd
Find the volume of the cone, round your answer to the nearest tenth
Answer:
V = 167.55 rounding would be v=168
Step-by-step explanation:
4.321 - 41
Please help me
answer is given above..........
Gabrielle's emerald ring has a diameter of 14 millimeters. What is the ring's radius?
millimeters
Answer:
7 mm
Step-by-step explanation:
Formula
Radius = 1/2 x DiameterSolving
Diameter = 14 mmRadius = 1/2 x 14 mmRadius = 7 mmPLS HELP ME I WiLL MARK THE BRAINLIEST!!!!!!!
Answer:
For number 3 it going to be
13.3 mm 16 mm 20.5 mm V = mm 3
And S.A. = A mm? %3D
For number 2 it going to be V= 955.04 sq. yd
TOTAL 428.04 sq.yd
Step-by-step explanation:
Sorry i couldnt do the others but hope this helps with some of the answers
i only did No(2) and No(3)
What is TU???? 24 points
Answer:
4
Step-by-step explanation:
Here we know that T is the midpoint of SU.
Therefore, we know ST and TU are equal.
Setting their values equal, we get:
x+3 = 4x
Then we isolate x by subracting x from both sides:
3=3x
Finally we divide by 3:
1=x
Now we can solve for TU:
4x= 4(1) = 4
Calculate the circumference and area of this circle.
i really need help before 7 am
Answer:
A. is 2.
B. is 5.
C. is 1.
D. is 4.
E. is 6.
F. is 3.
Explaination for my answer
Its bascially just rearrange to make x =
I need help on my math homework
How many solutions exist for the given equation? 3(x 10) 6 = 3(x 12) zero one two infinitely many
The given equation 3(x+10)+6=3(x+12) has infinitely many solutions.
We have the following expression
[tex]3(x+10)+6=3(x+12)[/tex]
We must rewrite both sides of the equation.
For this, we use the distributive property.
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
To learn more about the solution of the equation visit:
https://brainly.com/question/1214333
Answer:
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
Step-by-step explanation:
Can someone give a good explanation?
Answer:
$2.3
Step-by-step explanation:
they bought hot dogs for $6.35
and french fries for. $3.90. +
they got two mugs of tea $1.40
the tax fee. $1.05
=$12.7
:.,total amount $15.00-$12.7=$2.3 remaining
Which is the smallest fraction?
A. 1/3
B. 1/6
C. 1/4
D. 1/7
Answer:
its 1/7 because if you have a pizza and you cut it in 3 pieces, it will be bigger than a pizza cut in 4 pieces.
So basically if you buy a pizza and you were originally going to cut it in 3 pieces, but then one of your other friend wants a piece, so now you will have to cut it into 4 pieces which will give you a smaller piece and the same way cutting a pizza into 7 pieces will make it way smaller
so its D
but if you are asking from another point of view than I guess it A
Step-by-step explanation:
Please can I have brainliest
"pyramid = 4
prism = 3
prism = 3
= 3
Wprism
What is the volume of this solid?
O A. 63
O B. 10
O c. 27
O D. 39
Answer:
Find the cube's volume first (because it's the simplest figure) by using the formula;
(Formula for vol. of cube)
V = [tex]s^{3}[/tex]
Where 's' stands for one side of the cube raised to the power of three.
or
V = w · l · h
Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.
Plug in the values you know since they literally give it to you (I'll be using the formula [tex]s^{3}[/tex]);
V = [tex]s^{3}[/tex]
V = 3^3 → (The symbol ' ^ ' means to the power of.)
V = 27, is the volume of the cube.
Now we find the volume of the pyramid using the formula;
(Formula for vol. of pyramid)
V = (l · w · h) · 1/3
Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.
Plug in the values you know using both the lengths from the cube and pyramid.
What we know of the dimensions for the cube:Length = 3
Width = 3
Height = 3(we won't use)
What we know of the dimensions for the pyramid:Height = 4
Use these to figure out the volume for the pyramid.
V = (l · w · h) · 1/3
V = (3 · 3 · 4) · 1/3
V = 36 · 1/3
V = 36/3
V = 12, is the volume of the pyramid.
Add your volumes:-
27(cube vol.) + 12(pyramid vol.)
= 39 is the volume for this whole solid, your answer is D.
Simplify the expression –2(p 4)2 – 3 5p. what is the simplified expression in standard form? –2p2 – 11p – 35 2p2 21p 29 –2p2 13p 13 4p2 37p – 67
The simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.
What is the simplified form of an expression?Simplified form of an expression is the simplest way of expression the term, by applying the required operations of mathematics.
The expression which is need to be simplified is,
[tex]-2(p +4)^2 - 3 +5p[/tex]
First of all, open the brackets, using the formula of whole square,
[tex]-2(p^2 +16+8p) - 3 +5p\\-2p^2-32-16p-3+5p\\-2p^2-11p-35[/tex]
Hence, the simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.
Learn more about the simplified form here;
https://brainly.com/question/1597694
Answer: A
Step-by-step explanation:
I did it on edge
Andy is building a model train. A train in real life has a wheel diameter of 33 inches, a length of 20 feet, a width of 10 feet, and a height of 12 feet. If his model has a width of 8 inches, what does the height need to be? A) 0.96 inches BY) 9.6 inches X) 16 inches D) 48 inches
Answer:
9.6in
Step-by-step explanation:
I took the test on USATestPrep
A rectangular prism has a height of 4.5 cm, length of 7.2 cm and a width of 9 cm. Joe is going to cover the sides only. How much paper will he need?
Answer:
210.6cm^2
Step-by-step explanation:
1) In the diagram below the shape of the rectangular prism is shown:
where L=7.2, W= 9 and H=4.5
In order to cover only the sides, the area of the front and back faces and the side faces should be added, the top and bottom faces should not be
so the area of front and back faces= 2 (length *width) (multiply by 2 to account for both the front and back face, instead of just one face)
=2(7.2)(9)= 129.6 cm^2
area of side faces: 2(W)(H)=2*9*4.5=81cm^2
129.6cm^2+81cm^2=210.6 cm^2