Answer:
Hence, the mean of the potato chips lie between the interval [tex](1.006, 1.194)[/tex]
Given :
data is :
[tex]1.1,1.2,1.0,0.9,1.1,1.3,1.2,1.1,1.0[/tex]
Confidence level is [tex]95\%[/tex].
To find :
Confidence interval.
Explanation :
Mean [tex]\bar{x}[/tex] [tex]=\frac{\sum x}{n}[/tex]
[tex]\Rightarrow \bar{x}=\frac{1.1+1.2+1.0+0.9+1.1+1.3+1.2+1.1+1.0}{9}[/tex]
[tex]\Rightarrow \bar{x}=\frac{9.9}{9}[/tex]
[tex]\Rightarrow \bar{x}=1.1[/tex]
Standard deviation [tex]\sigma[/tex] [tex]=\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}=0.122[/tex]
here, [tex]\alpha=1-\;\text{confidence level}[/tex]
[tex]\Rightarrow \alpha=1-0.95=0.05[/tex]
[tex]Z_{\frac{\alpha}{2}}=Z_{0.05}=2.306[/tex] by the Z- table
[tex]95\%[/tex] confidence interval is :
[tex]\bar{x}\pm Z_{\frac{\alpha}{2}}\times \frac{\sigma}{\sqrt{n}}[/tex]
[tex]\Rightarrow 1.1\pm 2.306\times \frac{0.122}{\sqrt{9}}[/tex]
[tex]\Rightarrow 1.1\pm 2.306\times \frac{0.122}{3}[/tex]
[tex]\Rightarrow 1.1\pm 0.094[/tex]
[tex]\Rightarrow (1.006, 1.194)[/tex]
Therefore, the mean of the potato chips lie between the interval [tex](1.006, 1.194)[/tex]
Choose which categories are ordinal data related to dogs.
species of dogs
size of dogs
fitness level of dogs
type of food
amount of rest of dogs
Answer:
I don't understand this question please write again
Can some explain how to do this?
Answer:
Exact Area = 210.25pi - 210Approximate Area = 450.185The units for the area are in square inches or in^2. The approximate value shown above is when using pi = 3.14
=============================================================
Explanation:
Use the pythagorean theorem to find the length of the hypotenuse
a = 20b = 21c = unknowna^2 + b^2 = c^2
20^2 + 21^2 = c^2
400 + 441 = c^2
c^2 = 841
c = sqrt(841)
c = 29
The hypotenuse is 29 inches long. This is the diameter of the circle. Half of that is the radius at r = d/2 = 29/2 = 14.5 inches.
The area of the circle is...
A = pi*r^2
A = pi*(14.5)^2
A = pi*210.25
A = 210.25pi
Which is exact in terms of pi
We'll subtract off the triangular region as this isn't shaded in. The area of the triangle is base*height/2 = 20*21/2 = 420/2 = 210 square inches.
So the shaded region is therefore 210.25pi - 210 square inches
This approximates to 210.25*3.14 - 210 = 450.185 when using the approximation pi = 3.14; use more decimal digits of pi to get a more accurate value.
Which figure is described below?
The locus of points in a plane
equidistant between y = 5 and
y = -3.
A. 1 line
B. 1 plane
C. 2 planes
D. 2 lines
============================================================
Explanation:
The graph of y = 5 is the horizontal line through 5 on the y axis. Two points on this line are (0,5) and (1,5).
Similarly, the graph of y = -3 is the same idea, but the horizontal line goes through -3 this time. Two points on this line are (0,-3) and (1,-3)
Let's say we're at (0,5). Directly below this point, on the other line, is (0,-3). The midpoint of (0,5) and (0,-3) is (0,1)
The midpoint of (1,5) and (1,-3) is (1,1)
We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant from the lines y = 5 and y = -3. It's the middle line halfway between the two given lines. Think of it as the median of the highway (the two shoulders of the highway being y = 5 and y = -3).
So that's why the answer is A) 1 line
------------
Side note: any time we have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the median/middle line as described above. This applies to diagonal parallel lines as well, and vertical parallel lines.
on a piece of paper graph......
There are 125 people in a sport centre.
59 people use the gym.
70 people use the swimming pool.
55 people use the track.
25 people use the gym and the pool.
30 people use the pool and the track.
17 people use the gym and the track.
6 people use all three facilities.
How many people didn't use any facilities
Answer: 97/125
Step-by-step explanation:
rectangle measures 2 1 4 units by 4 1 2 units. What is its area?
Answer:
10 1/8
Just look it up or something, that's what i did
The area of the given rectangle is 10 1/8 units².
What is Surface Area?The region is the space taken up by a flat, two-dimensional surface. Its unit of measurement is the square. A three-dimensional object's surface area is the area occupied by its exterior surface. It is also measured in square units.The total surface area is the area encompassing the base(s) and the curving part. It is the whole area that the surface of the object takes up. A shape with a curved base and surface has a total area equal to the sum of the two areas.
As per the given data:
Measurement of the rectangle is given by
2 1/4 units by 4 1/2 units
= 2 1/4 × 4 1/2 units²
To find the area of a rectangle:
Area = length × width
From the given data
length = 4 1/2 units
width = 2 1/4 units
Area = 2 1/4 × 4 1/2 units²
= 9/4 × 9/2 units²
= 81/8 units²
= 10 1/8 units²
Hence, The area of the given rectangle is 10 1/8 units².
To learn more about surface area, click:
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HELP PLZ
DUE
RNNN
WILL
GIVE
BRAINLIS
Answer:
54 in.
remember that to get the perimeter you just have to add all the sides
basic logarithms, one equation, screenshot attached
Answer:
2
Step-by-step explanation:
log9 (2^-4) = -4.log9 (2)
Compare two images shown here. In what ways are
they alike?In what ways are they different?
Step-by-step explanation:
they are the same such that the part labelled x is the same as the part labelled 2
PLEASE HELP ME NOW IM FAILING I WILL GIVE EXTRA POINTS
Answer:
I don’t know how to show it on here...
Step-by-step explanation:
just move everything one square to the left. Then move them 2 up.
Please look at the image
Answer:
Equation to solve for "x": 90 + x + x + 18 = 180
x = 36
Step-by-step explanation:
90 + x + x + 18 = 180
90 + 18 + 2x = 180
108 + 2x = 180
(108 - 108) + 2x = 180 - 108
2x = 72
2x/2 = 72/2
x = 36
90 + 36 + 36 + 18 = 180
108 + 72 = 180
180 = 180
A juice manufacturing company designed a carton as shown below. What is the name of the three-dimensional
figure it creates?
Answer: rectangular prism and a pyramid I think
Step-by-step explanation:
1. The radius of the circular base of a cylinder tank is 0.7 m and its height is 5 m. What is
its surface area??
A. 20.5572 sqm
B. 22.5072 sqm
C. 25.0572 sqm
D. 27.0552
2. An ice cream cone has a radius of 7 cm and a slant height of 10 cm. What is its surface
area?
A. 337.66 sq cm
B.373.66 sq cm
C.376.36 sq cm
D. 376.66 sq cm
help, it's just 1-3 :( with solution please :(
3. A cubical wooden box has a surface area of 600 square cm. What is the measurement
of each
edge?
B. 6 cm
C. 10 cm
A. 5 cm
D. 100 cm
Answer:
C)
B)
C)
Step-by-step explanation:
Question-1:recall the surface area formula of cylinder
[tex] \displaystyle A _{S} = 2\pi r(h + r)[/tex]
given that,h=5 and r=0.7
substitute:
[tex] \displaystyle A _{S} = 2\pi (0.7)(5 + 0.7)[/tex]
simplify parentheses:
[tex] \displaystyle A _{S} = 2\pi (0.7)(5 .7)[/tex]
simplify multiplication:
[tex] \displaystyle A _{S} =25.0572 sqm[/tex]
hence, our answer is C
Question-2:remember the surface area formula of cone
[tex] \displaystyle A _{S} = \pi r(r + s)[/tex]
given that,r=7 and s=10
substitute:
[tex] \displaystyle A _{S} = \pi (7)(7+ 10)[/tex]
simplify parentheses:
[tex] \displaystyle A _{S} = \pi (7)(17)[/tex]
simplify multiplication:
[tex] \displaystyle A _{S} =373.66sqcm[/tex]
hence, our answer is B
Question-3:now for the question-3 we need a little bit understanding
remember the surface area formula of cube
[tex] \displaystyle A _{S} =6 {a}^{2} [/tex]
we are given that,[tex]A_S=600[/tex] Thus
substitute:
[tex] \displaystyle 6 {a}^{2} = 600[/tex]
divide both sides by 6:
[tex] \displaystyle {a}^{2} = 100[/tex]
square root both sides:
[tex] \displaystyle {a}^{} = 10[/tex]
hence, the measurement of each
edge is 10 cm therefore our answer is C)
33/35 in simplest form
Answer:
its already in simplest form
Step-by-step explanation:
The function f(x) = 3.r4 + kx3 + x – 2 has an x-intercept at x = -2.
What is the value of k in the function f(r)?
O A
2
B.
13
2
C. -3
D. 7
Answer:
Choose (A)
Step-by-step explanation:
f(x)=3x⁴+kx³+x-2
f(x)=3(-2)⁴+k(-2)³+(-2)-2
=-8k+44
-8k=-44
k=44/8
k=11/2
Does the graph represent a function?
please help :)
Answer:
it does
Step-by-step explanation:
i did this assignment yesterday
Which of the following figures are rhombuses?
Figure A is in shape of kite, Figure B is parallelogram, Figure C is rectangle, Figure D is kite and Figure E is a square.
A. A, B, and C
B. A, B, and D
C. B, D, and E
D. A, B, and E
Answer:A
Step-by-step explanation:
Kite flipped 90 degrees is a rhombus, the typical one at least
1 light second into Kilometers
Answer by using two significant figures
Answer:
3.0 x 10^5 km
Step-by-step explanation:
c = 299,792,458 metres per second
c = 299,792 km per second
1 light second = 299,792 km
To two significant figures
300,000 km
3.0 x 10^5 km
In 1 light second there are [tex]3\times 10^5[/tex] kilometers.
[tex]1 \text{light seconds}=3.0\times 10^5 km[/tex]
Step-by-step explanation:
The definition of speed is the distance covered per unit time.The speed of the light in a vacuum is [tex]3.0\times 10^8 m/s[/tex]..The 1 light second is defined as the distance traveled by light in 1 second in free space.To find:
Value of 1 light second into Kilometers
Solution:
Speed of light in space = [tex]3.0\times 10^8 m/s[/tex]
This means that in 1 second light travels [tex]3.0\times 10^8 m/s[/tex].
1 m = 0.001 km
The distance traveled by the light in Km in a second will be:
[tex]3\times 10^8 m= 3\times 10^8\times 0.001 km =3.0\times 10^5 km[/tex]
So, from this, we can conclude that in 1 light second there are [tex]3\times 10^5[/tex] kilometers.
[tex]1 \text{light seconds}=3.0\times 10^5 km[/tex]
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1- The acceleration of a particle is defined by the relation a = 6 ft/s 2. Knowing
that s =-32 ft when t = 0 and v= -6 ft/s when t = 2 s, determine the velocity, the
position, and the total distance traveled when t = 5 s.
help fast
Answer:
The initial velocity of the particle is
v' = -6 - 6.2 = -18 ft/s
at t = 5s, the velocity is v = -18 + 6.5 = 12 ft/s
the position is
[tex]x = - 32 - 18 \times 5 + \frac{1}{2} \times 6 \times 5 {}^{2} = - 47 \: ft[/tex]
the total distance traveled is
[tex]s = | \frac{12 {}^{2} - 18 {}^{2} }{2 \times 6} | = 15 \: ft[/tex]
A paper company sells paper for $1.50 per package. They have an overhead cost of $1800. Write an equation which depicts their situation.
Answer:
x = 1.50p - 1,800
Step-by-step explanation:
The equation that depicts their situation is -
1.50[tex]x[/tex] - 1800 = 0
We have a paper company sells paper for $1.50 per package with an overhead cost of $1800.
We have to write an equation which depicts their situation.
What is Overhead cost?Overhead cost to the company are the expenses other than the expenses during the generation of any product or service by that company. These expenses are somewhere needed and a certain amount of money is spent on them independent of the fact how much profit your product or service is generating. Concluding, we can say -
Overhead cost = Unwanted expense to the company
According to question -
Let's assume that the company sells [tex]x[/tex] pieces of paper for $1.50.
The overhead expenses = $ 1800
Hence, the equation that depicts their situation is -
1.50[tex]x[/tex] - 1800 = 0
To solve more questions on creating a equation for a situation, visit the link below -
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what is the value of y in the following system of equations ? 2x + 3y = 6 2x + y = -2
y = 4
Step-by-step explanation:
2x + 3y = 6. #1
2x + y = -2. #2
Subtract Eq 2 from Eq 1,
3y - y = 6 - (-2)
2y = 8
or
y = 4
Answer:
y = 4
Step-by-step explanation:
2x + 3y = 6
2x + y = -2
Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.
2x + y = -2
Subtract 2x from both sides.
y = -2x - 2
Now that we have y as an expression, plug it into the first equation.
2x + 3y = 6
2x + 3(-2x - 2) = 6
Distribute the 3 across the parentheses by multiplying.
2x - 6x - 6 = 6
Combine like terms.
-4x = 12
Divide both sides by -4.
x = -3
Now we have solved x.
To solve for y, plug x back into one of the equations.
y = -2x - 2
y = -2(-3) - 2
Multiply.
y = 6 - 2
Subtract.
y = 4
Check your answer by plugging both values back into the original equations.
2x + 3y = 6
2(-3) + 3(4) = 6
Multiply.
-6 + 12 = 6
Add.
6 = 6
Your answer is correct.
Hope this helps!
There are two numbers whose product is 117 and quotient is 13. What are the two numbers
Answer:
Let the two numbers be x and y
Step-by-step explanation:
Given :
x × y = 117 -1
x ÷ y = 13 -2
from equation 2 ,
x = 13×y -3
putting value of x from equation 3 in equation 1
13y × y = 117
13y² = 117
y² = 117 / 13
y² = 9
y = √9
y= 3
putting value of y in equation 3
x = 13 × y
13× 3
= 39
hence the two numbers are 39 and 3
i need help please and thank you
Answer:
C. 128 ft³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Rectangular Prism Formula: V = lwh
l is lengthw is widthh is heightStep-by-step explanation:
Step 1: Define
Identify variables
l = 8 ft
w = 4 ft
h = 4 ft
Step 2: Find Volume
Substitute in variables [Volume of a Rectangular Prism Formula]: V = (8 ft)(4 ft)(4 ft)Multiply: V = (32 ft²)(4 ft)Multiply: V = 128 ft³Answer:
Length (L) = 8ftWidth (w) = 4ftHeight (h) = 4ftFormula to be used :-
Volume of rectangular prism = LWHCalculation :-
=> V = LWH
=> V = 8 × 4 × 4
=> V = 128 ft²
You have a friend that feels tired so often that they use coffee to try to waken themselves up in the afternoon. They typically drink a venti Starbucks coffee at 4:00 pm in the afternoon. They go to bed around 10:00 pm must wake up at 6:00 am. You’re concerned that drinking the coffee may be affecting their sleep habits and using coffee to solve the problem is only making it worse.
•The amount of caffeine in a venti Starbucks coffee is 415mg
•Every hour, the amount of caffeine in your body decreases by 12%
•People that have 300mg of caffeine at bedtime experience severe sleep disruption
•People that have 50mg of caffeine at bedtime can experience a loss of one hour of sleep
•Recommend sleep time for teenagers is 8-10 hours
Create a report to determine if your friend needs to change their coffee drinking habits.
Answer:
Not sure how to answer that but i am that friend getting a venti strabucks everyday and i go to sleep at 4-6 am and wake up at sometime between 10-1 pm
Step-by-step explanation:
17. Mike has $50 more than Kemone has. Together they have $730. How much does Kemone have?
Answer:
340
Step-by-step explanation:
$730 - $50 = $680
$680 / 2 = 340
they both have an equal of 340 and then mike adds in 50 more so:
340 + 340 = 680 + mike's $50 = $730.
Find the value of x.
64
56°
Answer:
answer is 60
Step-by-step explanation:
180-(64+56)=180-120=60
Find the surface area of each sphere shown below. Round you
32 yd
what is this angle called
Answer:
An obtuse angle
Step-by-step explanation:
which term means 'per hundred' or hundredths?
a. decimal b. Ratio c. Percent d. fraction
The Answerto your question is : C. Percent
Help plz:)))I’ll mark u Brainliest