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)
Answer the following question:
Answer:
perimeter is the total length of all the sides. So 2x+2x+10 =4x+10=2x+5
please help me im very behind
Answer:
y=4/3x+4
Step-by-step explanation:
The change is Y is +4 and in X in +3, which is how we get the slope..4/3.
And the y-intercept would be 4, which is when x is at 0.
Hope this helps!
Answer:
y=4/3x+4
Step-by-step explanation:
]
Snow day problem, please answer worth 10 points
Madeline took friends out for
dinner. The cost of the meal
was $64.50. She left a 20%
tip. What was the total cost
including tip?
Answer: First you have to take 20% and make it into a fraction 1/5.
Then you multiply 46.5 and multiply it by 1/5 and get 9.3
Add $46.50 and $9.30 and get $55.80
Step-by-step explanation: Hope this helps!! <3
Solve for x = X-16/x+6= 3/5
Answer:
-16/29
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
i did the test
24 = 3y Solve for y and show work
Answer:
y=8
Step-by-step explanation:
because 3×8 is 24
and 8 would be the missing number
A water park sells 168 tickets. Each ticket costs $12. What is the total cost of the tickets sold?
Answer:
The answer is $2,016
Step-by-step explanation:
Multiply 168 and 12 to get 2016
Have a great day :)
pitcher can hold 1,200 milliliters of tea. How many liters of tea are in the pitcher?
Answer:
1.2 Liters
Step-by-step explanation:
There are 1000 mL in 1 L. divide 1200 by 1000 and you get 1.2
The table on the left is that of a linear function, and the one on the right is that of an exponential function.
Can you tell which function has the higher rate of growth? How?
A)
There is not enough information to make a conclusion.
B)
The linear function is growing faster, because at x = 3 the y-value of the
linear function is larger.
C)
The exponential function is growing faster, because at x = 0 the y-value of
the exponential function is larger.
D)
The exponential function is growing faster, because it grows by a factor
that is multiplied by the previous y-value instead of being added like the
linear function.
Answer:
The answer is option D) The exponential function is growing faster, because it grows by a factor that is multiplied by the previous y-value instead of being added like the linear function.
Step-by-step explanation:
We can easily that by evaluating both functions at x = 10
Linear
f(x) = 7*10 = 70
Exponential
f(x) = 2^(10) = 1024
PLEASE HURRY!!
(a) Billy bought seven cat toys. Each cat toy costs the same amount. He spent a total of $22.75
(a) Write an equation that represents the situation. Use c to represent the cost of each cat toy.
(b) Solve for c and justify your solution by checking your answer.
Multiple the number of toys bought by c to equal the total spent:
A) 7c = $22.75
B) divide the total spent by the quantity bought:
C = 22.75/7
C = 3.25
Each toy cost $3.75
Triangle ABC is reflected across the y-axis to form the triangle A'B'C', then dilated
with a factor of 1/3 to form triangle A"B"C". Which of the following statements is
true for AABC and AA"B"C'?
O A) AABC and AAB"C" are similar triangles.
B)
There's not enough information to identify whether AABC and AA"B"C" are
congruent or similar.
C) AABC and AA"B"C"are congruent triangles.
D AABC and AA"B"C" are neither similar nor congruent.
Given:
Triangle ABC is reflected across the y-axis to form the triangle A'B'C'.
Then dilated with a factor of 1/3 to form triangle A"B"C".
To find:
The correct statement for triangles ABC and A"B"C".
Solution:
We know that reflection is a rigid transformation, it means size and shape of the figure remains same after reflection.
So, figures are always congruent to their images after reflection.
[tex]\Delta ABC\cong Delta A'B'C'[/tex] ...(i)
Dilation is not a rigid transformation. Here, shape remains same nut the size is different.
So, figures are always similar to their images after dilation.
[tex]\Delta A'B'C'\sim \Delta A"B"C"[/tex] ...(ii)
Using (i) and (ii), we get
[tex]\Delta ABC\sim \Delta A"B"C"[/tex]
ΔABC and ΔAB"C" are similar triangles.
Therefore, the correct option is A.
What is the value of y in the solution to this system of equations?
y =
7x+14
2.
2x + 4y = 60
Answer:
[tex]y = \frac{224}{15}[/tex]
Step-by-step explanation:
Given
[tex]y = 7x + 14[/tex]
[tex]2x + 4y = 60[/tex]
Required
Find y
First, substitute 7x + 14 for y in the second equation:
[tex]2x + 4y = 60[/tex] becomes
[tex]2x + 4(7x + 14) =60[/tex]
Open bracket
[tex]2x + 28x + 56 = 60[/tex]
[tex]30x = 60 - 56[/tex]
[tex]30x = 4[/tex]
Solve for x
[tex]x = \frac{4}{30}[/tex]
[tex]x = \frac{2}{15}[/tex]
[tex]y = 7x + 14[/tex] becomes
[tex]y = 7 * \frac{2}{15} + 14[/tex]
[tex]y = \frac{14}{15} + 14[/tex]
[tex]y = \frac{210+14}{15}[/tex]
[tex]y = \frac{224}{15}[/tex]
Hence:
[tex]y = \frac{224}{15}[/tex]
Help me please I need help on this
Answer:
1 lb
Step-by-step explanation:
Picked up 3/5 and 4/5.
Used 3/8.
Amount now:
3/5 + 4/5 - 3/8 =
= 7/5 - 3/8
= 56/40 - 15/40
= 41/40
Answer: 1 lb
Which of the following is a linear function?
**easy** WILL MARK BRAINLIEST!!!!!!! HELP ASAP!!!!
[tex]a. \: \: \: y = {x}^{3} + 1 \\ b. \: \: \frac{5}{6} x = y - 4 \ \\ c. \: \: \: y = 8 {x}^{2} \\\ d. \: \: \: y = \frac{1}{5x} [/tex]
Answer:
b
Step-by-step explanation:
b is a linear function, because all you have to do is swap around the equation. It can't be the ones with exponents or the one that has x as a denominator
Answer:
A: y = x^3 + 1
Step-by-step explanation:
PLZ HELP
Write and solve an equation to find x then find the measure of the unknown angles
Answer:
1)
8x + x = 180
9x = 180
x = 30
2)
x + 2 = 2x - 40
2 = x - 40
x = 42
3)
2x + x = 90
3x = 90
x = 30
4)
3x + 1 = 4x - 25
1 = x - 25
x = 26
2.a really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. what is the speed of the armadillo
Answer:
2 meters per second
Step-by-step explanation:
Hope this helped have an amazing day!
The inequality x S-8 would represent which of the following values?
Which sets of angles sum to 180
Answer:
All of them
Step-by-step explanation:
What constant term should be added to both sides to complete the square on the left side?
x^2 - 3/4x + _____ = 10
Answer:
9/64Step-by-step explanation:
Given
x² - 3/4x + _____ = 10Need to complete square on the left side of equation
The square should be in the form of:
(a + b)² = a² + 2ab + b²We see a = x therefore
2b = -3/4, so b = -3/8 and b² = (-3/8)² = 9/64So the missing constant term is 9/64
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.
Find the distance across the bridge
What is 63 divided by 36?
Answer:
1.75
Step-by-step explanation:
used a calculator
Answer:
63÷36=1.75
Step-by-step explanation:
itz easy
mark me as a brainlist
what is the answer to 2/5 times 1/4
perform each operation (3x-4)(x+4)
Answer:
x = 4
(don't really know what they mean by perform?)
Step-by-step explanation:
Johnny divided 3 1/2 x 4 what number did he get
Answer:
14
Step-by-step explanation:
3 1/2= 3.5
so...
3.5*4=14
Answer:
14
Step-by-step explanation:
7 / 2 × 4
7 × 2
14
hope it helps!
Need help with this one will mark brainliest
Answer:
circle 3
Step-by-step explanation:
If a watch costs $ 40 and you must pay 6.5 % sales tax
Step-by-step explanation:
you will end up paying $66 dollars
Set up an equation that relates the direct variation. D varies directly with t
Answer:
I really don’t understand the question.. sorry I couldn’t help...
The gates to the zoo open at 8 a.m. and 60 people enter. The number of visitors to the zoo triples every hour until 1 p.m.
How many visitors are at the zoo at 1 p.m.? Write the answer in exponential notation.
Answer:240 visitors are at the zoo
Step-by-step explanation:
Answer:
54
Step-by-step explanation:
We can solve this problem by creating a chart from 9am to 12pm. Each hour we must "triple," meaning "multiply by 3."
9am-10am is 6 visitors
10am-11am is 6*3=18 visitors
11am-12pm is 18*3=54 visitors
Write an equation of the line in slope intercept form (0,5)(3,4)
The slope intercep equation of the following points (0,5) (3,4) will be y = (-1/3)x + 5.
What is the slope-intercept equation?
A slope-intercept equation is the equation of the two variables x and y in which the form of the equation should be in such a way that it should contain the slope of the given equation.
For example, in the equation, y = mx + c here m will be the slope of the equation and this is the slope-intercept equation.
Another example is y = 3x + 7 here 3 will be the slope of that equation.
Slope m = difference in y coordinate/ difference in x coordinate.
Let's suppose our equation is y =mx + c
now m = (4 - 5)/(3 - 0)
m = -1/3 now for c put both point in the equation we get as 5.
So y = (-1/3)x + 5 will be correct slope intercept form.
For more information about slope intercept form
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