Answer:
135.05 ; 2.762 ; (133.201, 136.899) ; (132.840, 137.260)
Step-by-step explanation:
Given the data:
Urban area Price/liter
St. John, NL 137.1
Halifax 133.6
Montreal 136.2
Regina 132.3
Saskatoon 132.2
Yellowknife 138.9
Mean = (137.1 + 133.6 + 136.2 + 132.3 + 132.2 + 138.9) / 6
= 810.3 / 6
= 135.05
Standard deviation (σ) : √Σ(X - mean)²/n-1
(137.1 - 135.05)^2 + (133.6 - 135.05)^2 + (136.2 - 135.05)^2 + (132.3 - 135.05)^2 + (132.2 - 135.05)^2+ (138.9 - 135.05)^2 = 38.135
√(38.135 / (6 - 1))
= √7.627
= 2.7617023
= 2.762
C.)
90% confidence interval of the mean :
Mean ± Zcrit * σ/√n
Zcrit at 90% = 1.64
135.05 ± 1.64 * (2.762/√6)
135.05 ± 1.64 * 1.1275817
Lower Value = (135.05 - (1.64 * 1.1275817)) = 133.201
Upper Value = (135.05 + (1.64 * 1.1275817))) = 136.899
Confidence interval = (133.201, 136.899)
D.)
95% confidence interval of the mean :
Mean ± Zcrit * σ/√n
Zcrit at 95% = 1.96
135.05 ± 1.96 * (2.762/6)
135.05 ± 1.96 * 1.1275817
Lower Value = (135.05 - (1.96 * 1.1275817)) = 132.840
Upper Value = (135.05 + (1.96 * 1.1275817)) = 137.260
Confidence interval = (132.840, 137.260)
Factorize: Challenge problem:
x^2+19x+78
help :)
Answer:
(x + 6)(x + 13)
Step-by-step explanation:
Given
x² + 19x + 78
Consider the factors of the constant term (+ 78) whuch sum to give the coefficient of the x- term (+ 19)
The factors are + 6 and + 13 , since
6 ×13 = + 78 and 6 + 13 = + 19 , then
x² + 19x + 78 = (x + 6)(x + 13) ← in factored form
[tex]\bold{ x^2+19x+78 }[/tex]
[tex]\bold{ x^2+13x+6x+78 }[/tex]
[tex]\bold{ x(x+13)+6(x+13) }[/tex]
[tex]\bold{(x+6)(x+13) }[/tex]
Help me out here pleaseeeeeeeeee
What is incorrect About this proof? What needs to be done to correct it?why ?
Solve
20 + 6k - 14+k
Answer:
7k+6 is your answer to the question
A triangle has side lengths of 13 feet, 18 feet, and 12 feet. What kind of triangle is it?
Answer:
scalene
Step-by-step explanation:
no sides are the same
Which relation diagram represents a function?
Answer:
It is going to be the first one on the top left.
Step-by-step explanation:
the rule for something to be a function is every input must have exactly one output. now that does not mean that two different inputs cannot have the same output. but on a vertical line test every other one would be wrong.
A relation will be a function if for every single input there is only one output thus option (A) is correct.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
As per the given diagrams,
A relation will be a function if for every single input there is only one output.
In the second diagram for input = 5 the output is 2 and -3 so it will not a function. Similarly third and fourth will also not function.
In the first diagram for every single input there is only one output.
Hence "A relation will be a function if for every single input there is only one output".
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a line must contain at least three points
?
Answer:
A plane contains at least three non-collinear points. If two points lie in a plane, then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
Step-by-step explanation:
Help please stat! Brainlist!
Answer: 11.71 meters per second.
PLZ CORRECT ME IF I AM WRONG thxs and have a lovely day :)
Step-by-step explanation:
PICTURE BELOW....................
Answer: C
Step-by-step explanation: 45 divided by 18 is 2.5
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Based on the advertised sales, at which store will Zachary get the lowest price on 4 tires?
Answer:
Zachary is buying 4 tires for his car. The table shows the prices and the advertised sales for the same type of tire at 4 tire stores.
Step-by-step explanation:
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
At store R, we get the fourth tire for free, if we buy three tires.
Each tire costs $150, so the cost of 3 tires is .
So at store R, we get 4 tires for $450.
At store S, if we buy 4 tires, we pay $70 off for each tire.
Each tire costs $200, so the cost of 4 tires is
If we get $70 off for each tire, we get for 4 tires.
So at store S, we get 4 tires for
So at store S, we get 4 tires for $520.
Step 2:
At store T, if we buy 4 tires, we pay $200 off the total price.
Each tire costs $175, so the cost of 4 tires is
If we get $200 off the total price, we get for 4 tires.
So at store T, we get 4 tires for $500.
At store V, if we buy 4 tires, we get 10% of the total price.
Each tire costs $130, so the cost of 4 tires is
If we get 10% off the total price, we get for 4 tires.
So at store V, we get 4 tires for $468.
Step 3:
So we get 4 tires at store R for $450, we get 4 tires at store S for $520. We get 4 tires at store T for $500 and we get 4 tires at store V for $468.
So Isaiah will get the lowest price on 4 tires at store R.
Which point on the number line could represent-25? А вс D 54 -3 -2 -1 0 1 2 3 4 5 А OB ОС OD. I will mark 1 answer brainlist
Answer:
B
Step-by-step explanation:
The number, -2¼, if it is to be represented on a directed line, would be about -2¼ places below point zero.
Therefore, the point that would represent -2¼ on a number line is B, as shown in the diagram.
Please help solve this
Answer: ∞
Step-by-step explanation: First, find the indefinite integral F (x), and then evaluate F (∞)–F(– ∞).
Macys is having a sale on all shoes, if I buy a pair of boots that are $125 but are now 30% off what is the sale price of the boots?
6. What are the dimensions of this matrix?
Answer:
the dimensions will be 2 x 1
Option C is correct option.
Step-by-step explanation:
We need to determine the dimensions of this matrix [tex]\left[\begin{array}{c}2&\sqrt{5} \end{array}\right][/tex]
The dimensions consists of rows and columns in the form. Rows x Columns
In the given matrix the rows are: 2
The columns are: 1
So, the dimensions will be 2 x 1
Option C is correct option.
Jonas received a gift card of 35.00 to use for an online app market to buy applications for his tablet. All applications cost 1.75. Which table represents the relationship between x, the number of apps Jonas can buy, and y, the balance remaining on his gift card
Answer:
Step-by-step explanation:
The table that represents this would have to be an inverse table where the higher the value of x increases the more the value of y decreases. That is because the more apps that he purchases the more money he spends which therefore decreases his remaining balance. Therefore the following table would represent this situation...
x y
---------------------
1 35.00
2 33.25
3 31.50
4 29.75
5 28.00
6 26.25
7 24.50
8 22.75
and so on...
Turn 20% and 0.35 into a fraction ( please I’ll mark you brainlest please hurry )
20% = 1/5
0.35 = 35/100 but simplified is 7/20
I hope this helps, and Happy Holidays! :)
16
NOT TO
SCALE
The dagen sboas a circle, centre O.
AB is a chord of length 12 cm.
Vis the mid-point of 43 and OM = 45 cm
Calculate the radius of the circle.
7.5cm
lets take point K represent lenght from M to perimeter of circle.
r is radius
KM= r-OM= r-4.5cm
now lets draw line from O to A (OA)
we get triangle.
hypotenuse is OA and it equals r(radius)
ab=12 cm. so another side of the triangle (AM) is 12/2=6cm. and the last side of the triangle is 4.5(OM)
use pythaghorean theorem
squares of sides added = square of hypotenuse
20.25+36=r^2(our hypotenuse is radius)
56.25=r^2
r=√56.25=7.5cm
Answer:
The radius of the circle is 7.5 cm
Step-by-step explanation:
Circles and Lines
The figure provided shows a circle with two prominent features: a chord of length 12 cm and a segment from the center to the midpoint of the chord of length 4.5 cm.
We have attached an image with some additional measures to solve the problem.
Note a right triangle is formed with half the length of the chord (6 cm) and the distance from the center to the chord. We are sure the intersection divides the chord into two equal parts because M is its midpoint.
The radius of the circle is the hypotenuse of the triangle of legs 6 cm and 4.5 cm, thus the radius is:
[tex]r=\sqrt{6^2+4.5^2}[/tex]
[tex]r=\sqrt{36+20.25}[/tex]
[tex]r=\sqrt{56.25}[/tex]
[tex]\boxed{r = 7.5\ cm}[/tex]
The radius of the circle is 7.5 cm
Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)
For the right triangle shown, which of these equations is correct?
1. all answers are correct
2. cos(53) = x/16
3. cos(53) = sin(37)
4. sin(37) = 16/x
Answer:
3
Step-by-step explanation:
3 because 37° and 53° these sum is 90°.
Answer:
3. cos(53)=sin(37)
Step-by-step explanation:
let y be the third side
cos(53)= adj/hyp
=y/16
sin(37)=opp/hyp
=y/16
therefore, sin(37)=cos(53)=y/16
WILL GIVE AS MUCH POINTS AS I CAN BC THIS IS A THROW AWAY ACCOUNT (Nvrm you guys just ganna cop the points and give me a swamp answer). WILL MARK BRAINLYEST.
1) write the equation
2) Generate at least two ordered pairs
1) Bob sold burgers for $6 and milkshakes for $4. At the end of the day, he made $422.
2) Bob paid a $25 sign-up fee for streaming content, plus $12 per month for his subscription
Answer:
1 is 6x+4y=422
2 is (12,25)
i dont think 2 is right im really sorry about that- but im like kinda confident for one. i would also check with someone else tho
Answer:
3fftedvvvte4ffff
Step-by-step explanation:
ggvggrrrvvg
ejt-vokv-opj join to teach
Answer:
ive seen this before its not to teach what you think stay away from it
Answer:
i thought this was a different language
Step-by-step explanation:
smh
which expression represents"divide the sum of x and 2 by 4"?
Answer:
Step-by-step explanation:
pix
Please help and explain how you got the answer. Im giving out brainliest. || Q4
Answer: 32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
Inside the parentheses, we see 5+3, which equals 8. Now, do 8x4, which equals 32!
mcgregor is growing alfalfa on 180 acres,which is 30% of his farmland. mcgregor has how many acres of farmland?
Answer:
600 acres
Step-by-step explanation:
Hope this helps!
The number of acres of land Mcgregor has 600 acres.
Given that, Mcgregor is growing alfalfa on 180 acres, which is 30% of his farmland.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Let the total number of acres be x.
So, 30% of x=180
⇒ 30/100 × x=180
⇒ 0.3x=180
⇒ x=180/0.3
⇒ x=600
Hence, the number of acres of land Mcgregor has 600 acres.
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Select the correct answer from the drop-down menu.
need help fast please!
Answer:
i think its the first one
Step-by-step explanation:
if u subtract it , then it shouldn't be given a + sign at all
it should stay subtraction
have a good day! :)
plz give me brainliest
Answer: -7x to the seventh power+ x
Step-by-step explanation:
Write the fraction as a decimal
4 -8
11
4 , and 8 over 11
Answer: 52
Step-by-step explanation:
11×4=44+8=52
Answer:
I'm pretty sure its 4.727
What is this? Please answer with an explanation
Answer:
x=9,30............etc
Step-by-step explanation:
if value of x=9 then
the function
value of f(x)=4
if x=30 then value of function f(x)=27
There are 1,800 pastries in a bakery shop. 45% of them are pretzels and the rest are croissants. How many croissants are there?
Group of answer choices
Answer: There are 990 croissants
Step-by-step explanation:
If 45% of them are pretzels then 55% of the pastries hs to be croissants.
Multiply 55% by the total number of pastries to find the number of croissants.
55% * 1,800 = 990
instant help guys please,I need this in about ten minutes.
please help I'll give brainiest to correct answer
3*9^1+X=27^-x.find x
Answer:
x=0
Step-by-step explanation:
3*9+x=27-x [9^1=9]
27+x=27-x
27-27= x+x
2x=0
x=0
Find the first four terms of the arithmetic sequence
where a1 = 2 and d = 5 (use formula)
Answer:
first four terms are 2, 7, 12, 17
Step-by-step explanation:
use this formula: [tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)· d
where 'n' equals the position in the sequence the term is in and 'd' is the common difference
if [tex]a_{1}[/tex] = 2 and d = 5 are given, plug those into formula
[tex]a_{1}[/tex] = 2
[tex]a_{2}[/tex] = 2 + (2 - 1)·5 = 2+5 = 7
[tex]a_{3}[/tex] = 2 + (3 - 1)·5 = 2+2(5) = 12
[tex]a_{4}[/tex] = 2+(4 - 1)·5 = 2+3(5) = 17
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
What is an arithmetic sequence?It is a sequence where the difference between each consecutive term is the same.
We have,
First term = 2
Common difference = 5
First term = 2
Second term = 2 + 5 = 7
Third term = 7 + 5 = 12
Third term = 12 + 5 = 17
Thus,
The first four terms of the arithmetic sequence are 2, 7, 12, and 17.
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