Answer:
B. F(x) = 3(x - 2)² - 2
Step-by-step explanation:
→The function F(x) narrowed, meaning the absolute value being multiplied to the function is greater than 1.
→The function F(x) flipped over the x-axis, this means that the number being multiplied has to be a negative.
→The function F(x) shifted to the left 2 units, this means there needs to be a 2 being added.
→The function F(x) shifted downwards 2 units, meaning there needs to be a 2 being subtracted from the whole function.
This gives us the correct answer of "B. F(x) = 3(x - 2)² - 2."
a dental company has rolls of floss that are 1872 in long they want to put the distance in the yard on their label what is the distance of rows of floss in yards a 25-yard b-52 yards c63 rd72 yards in 80 yards
Construct a 95% confidence interval for the data (mean of the differences). Report your answers to three decimal places.
( ), ( )
for trader joes safeway
n = 57 n=57
x= 2.9442 x= 3.4123
s= 1.7458 s= 2.0382
We can be 95% confident that the true population mean difference between the two samples falls within the range of 0.374 to 0.562
Computing 95% Confidence Interval for Mean DifferencesTo construct a 95% confidence interval for the data, we need to calculate
the mean difference between two sample means (x₁ - x₂)the standard deviation of the differences (sD)the margin of error (ME)the upper and lower bounds of the confidence interval (CI).The formula for the mean difference is:
x₁ - x₂ = 3.4123 - 2.9442 = 0.4681
The formula for the standard deviation of the differences is:
sD = √[(s₁²/n₁) + (s₂²/n₂)]
SD = √[(1.7458²/57) + (2.0382²/57)]
SD = 0.3555
The margin of error is calculated using the following formula:
ME = t * (sD / √(n))
where t is the critical value for a 95% confidence interval with 56 degrees of freedom
So, we have
ME = 2.003 * (0.3555 / √(57))
ME = 0.0943
Finally, we can calculate the upper and lower bounds of the confidence interval:
CI = (x₁ - x₂) ± ME
CI = 0.4681 ± 0.0943
CI = (0.4681 - 0.0943, 0.4681 + 0.0943)
CI = (0.3738, 0.5624)
Approximate
CI = (0.374, 0.562)
Thus, the 95% confidence interval for the mean differences is (0.374, 0.562), rounded to three decimal places.
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Data accumulated by the National Climatic Data Center shows that the average wind speed in miles per hour for St. Louis,Missouri, is 9.7. Suppose wind speed measurements are normally distributed for a given geographic location. If 22.45% of the time the wind speed measurements are more than 11.6 miles per hour, what is the standard deviation of wind speed in St. Louis?
Answer:
The value is \(\sigma = 8.5\)
Step-by-step explanation:
From the question we are told that
The population mean is \(\mu = 9.7\)
The proportion is \(P(X >x) = 0.2245\)
The value considered is \(x = 11.6\)
Generally given that the speed measurement is normally distributed we have that
\(P(X > 11.6) = P(\frac{ X - \mu }{ \sigma } > \frac{11.6 - 9.7}{ \sigma } ) = 0.2245\)
Generally
\(\frac{X - \mu}{ \sigma } = Z(The \ z -score \ of \ X )\)
\(P(X > 11.6) = P(Z> \frac{11.6 - 9.7}{ \sigma } ) = 0.2245\)
Hence
\(\frac{ 11.6 - 9.7}{ \sigma} = 0.2245\)
\(\sigma = 8.5\)
look at the screen shot i need help i looks simple but it aint
The corresponding equation for the total expense E, the equation for the total income I, and the equation for the profit P are 155n + 700, 350n and 195n-700. While the profit for 25 bikers is $4175 and the number of bikers is 9
How to write the equation for total expenses, profit and income?Given:
Bike rental = $30 for each
Cost of food and camp for each biker = $125
Van rental = $700
Income earned for each biker = $350
a. Equation for the total expenses E for n bikers
The total expenses is the sum of all the money spent
Rental cost for n bikers = $30 x n = 30n
Cost of food and camp for n bikers = $125 x n = 125n
Van rental = $700
Total expenses E = 30n + 125n + 700 = 155n + 700
b. Equation for the total income I for n bikers
Total income I for n bikers = $350 x n = 350n
c. Equation for the profit P for n bikers
Profit = Income - Expenses
Profit P for n bikers = 350n - (155n+700) = 350n-155n-700 = 195n-700
d. Profit for 25 bikers
substitute n = 25 into the Profit equation:
Profit P for 25 bikers = 195(25) - 700 = $4175
e. Suppose the profit is $1,055. How many bikers went on the trip?
use P = 1,055 and find n:
1055 = 195n-700
195n = 1055 + 700
195n = 1755
n = 1755/195 = 9
That means 9 bikers went on the trip
Therefore, the equation of the total expense E, equation for the total income I, equation for the profit P, Profit for 25 bikers and the number of bikers are 155n + 700, 350n, 195n-700, $4175 and 9 bikers respectively
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what is 3⁴×3⁵ can anyone help me
Let's look at the multiplication exponent rule.
\(x^a*x^b=x^{a+b}\)
Meaning that the exponents will add together when the same base is multiplied.
\(3^4*3^5=3^{4+5}=3^9\)
Hope this helps.
頑張って!
Answer:
19683
Step-by-step explanation:
3x3x3x3= 81
3x3x3x3x3=243
81x243=19683
use the info given in the figure to find x, m
Answer:
This is a symmetrical shape so that means all of the sides are going to match. To find x you need to look at the opposite side of the shape and see that it’s needs to match the three. In order to do that X would need to equal two so that it would be two times two minus one which would give you the three that you need to match the other side.
math mat mhaha ha hbahuh gyahy w guabhbhabhabhnahqnhuabuha vha ya yva cyvvahba cya yva buabbyga hay avu aygabyga ygabgyagyabhyabga ahh abbahhajna buiajaj
qhubuag qjjbbaqbjbqhuqguqbqbqyqbyqbyqb math help
A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria
culture. Round your answer to the nearest tenth of a percent.
Answer:
10
Step-by-step explanation:
Using an exponential function, it is found that the hourly growth rate of the bacteria culture is of 14.9%.
------------------------
An exponential function has the following format:
\(A(t) = A(0)(1+r)^t\)
In which:
A(0) is the initial amount.r is the hourly growth rate.------------------------
Since it doubles every 5 hours, it means that:
\(A(5) = 2A(0)\)
And we use this to find r.
------------------------
\(A(t) = A(0)(1+r)^t\)
\(2A(0) = A(0)(1+r)^5\)
\((1 + r)^5 = 2\)
\(\sqrt[5]{(1 + r)^5} = \sqrt[5]{2}\)
\(1 + r = 2^{\frac{1}{5}}\)
\(1 + r = 1.149\)
\(r = 1.149 - 1 = 0.149\)
0.149*100% = 14.9%.
The hourly growth rate of the bacteria culture is of 14.9%.
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what are all the possible rational roots of 2x^3-x^2-2x+1
The given expression can be rewritten as;
\(x^2(2x+1)\text{ -}(2x+1)\)If we expand the above equation, we'll still have the same expression in the question.
We can now factorize, which will give us;
\((x^2-1)(2x+1)\)We apply the difference of two squares , we'll then have;
\(x^2-1\text{ = }(x^2-1^2)=\text{ }(x-1)(x+1)\)So, we'll then have the below as factors;
\((x-1)(x+1)(2x+1)\)The roots of the polynomial then will be 1, -1, -1/2 which we'll get from equating each factor to zero and solving for x.
What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
45 points!!
solve question 9
Answer:
answer
A) 11.7²+X.6²
B) 7²+10² 0²
Pleaseee help I need a visual to do this. I'll really appreciate it
The visual that can help you in creating a 3D structure using rectangular prism and others is given in the image attached.
What is the 3D structure creation?3D structure creation is the method of planning and building three-dimensional structures or objects utilizing various materials and methods. This may make use of physical development with the use of materials such as wood, metal, and plastic, as well as virtual development utilizing computer program programs.
In virtual 3D structure creation, creators make use of program to make 3D models of structures or objects. These models can be seen and controlled in virtual space, and can be utilized to reenact how the structure will see and work within the real world.
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See text below
1. Start by creating a rectangular prism
as the base of your structure. This will
be the main structure that includes
the walls and interior rooms.
2. Add a cylindrical tower to one corner of the rectangular prism. Adjust the size and height to your liking.
3. Add another cylindrical tower to the opposite corner of the rectangular
prism. Again, adjust the size and
height to your liking.
4. Add a pyramid-shaped roof to one of the cylindrical towers, and a cone-
shaped roof to the other cylindrical tower.
5. Add a second rectangular prism on top of the first one, with a different orientation or size. This can serve as an additional room or tower.
6. Add a pyramid-shaped roof to the second rectangular prism, and a cone-shaped roof to the cylindrical tower that does not have one yet.
7. Add a rectangular prism
perpendicular to the main structure,
creating an L-shape. This can be a
separate building or an extension of
the main structure.
8. Add a pyramid-shaped roof to the new
rectangular prism, and a cone-shaped roof to the cylindrical tower on the
opposite side of the main structure. 9. Finally, add spheres as decorative
elements to the walls and towers. You can also add other shapes, such as additional rectangular prisms,
pyramids, or cones, as long as you have at least 2 of each of the 5
required shapes.
Find the radius of a circle that has an area of 121 pi f2
Answer: r=11
Step-by-step explanation:
A=πr^2
A=121π
121π=πr^2
r^2=121
r=11
during a reading test enq
Answer:
thats tuff...
:
The width of a rectangle is 4n - 4.5 feet and the length is 4.5n + 9 feet. Find the perimeter of the
rectangle.
9514 1404 393
Answer:
17n+9 feet
Step-by-step explanation:
The perimeter of a rectangle is twice the sum of length and width.
P = 2(L +W)
P = 2((4.5n +9) +(4n -4.5)) = 2(8.5n +4.5)
P = 17n +9
The perimeter of the rectangle is 17n +9 feet.
Given negative 7.3 divided by one half, find the quotient.
−14.6
1.825
−3.65
14.6
The value of the quotient expression given as negative 7.3 divided by one half is -14.6
How to determine the quotient?The quotient expression is given as:
negative 7.3 divided by one half
Rewrite the above expression properly, as follows:
-7.3/0.5
Evaluate the quotient
-14.6
Hence, the value of the quotient expression given as negative 7.3 divided by one half is -14.6
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Answer:
-14.6
Step-by-step explanation:
Treat the one half as a fraction.
Then remember that when you divide by a fraction, you need to multiply by the reciprocal of the fraction, so dividing by half is the same as multiplying by 2. Also, negative times positive is negative.
-7.3 / (1/2) = -7.3 × 2/1 = -7.3 × 2 = -14.6
if the letter l,o,g,ic are randomnly arranged to form word logic what is the probability that result will be woord logic
The probability of randomly forming the word "woord logic" is:Probability = 1 / (10! / (2!))
To calculate the probability of forming the word "woord logic" by randomly arranging the letters l, o, g, i, c, we need to consider the total number of possible arrangements and the number of arrangements that result in the desired word.
The word "woord logic" has 10 letters in total. Among these letters, there are 2 o's and the remaining letters appear only once.
The total number of possible arrangements is given by the factorial of the total number of letters:
Total arrangements = 10!
However, since the letter "o" appears twice, we need to divide by the factorial of the number of repeated letters:
Total arrangements = 10! / (2!)
To calculate the number of arrangements that result in "woord logic," we consider that the arrangement of "woord logic" is unique and distinct. Thus, there is only one arrangement that matches the desired word.Simplifying this expression would yield the exact probability.
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231km 118m - 485km 829m in the smallest unit
Answer:
Uhhhhhh
Step-by-step explanation:
ABUNDA LA CACA BDHDHENSNGAGVD
Answer:
hard
Step-by-step explanation:
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
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Find the length of major arc PQ
The length of major arc PQ is 35π units.
What is major arc?
In geometry, an arc is a portion of the circumference of a circle. A major arc is an arc that spans more than 180 degrees of the circle. In other words, a major arc is an arc that is greater than a semicircle (which spans exactly 180 degrees).
we know that,
length of arc = s = 2 π r (θ/360°)
where, r is the radius and θ is the angle of arc.
we have, r = 30
θ = 210
so, length of major arc PQ :
= 2 π r (θ/360°)
= 2 π × 30 × (210/360)
= 60 π × 7/12
= 35π units.
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The points A, B, C and D lie in order on a straight line
such that
AB:BD = 1:2
AC:CD= 7:2
Find AB:BC:CD
Answer:
7 + 2 = 9, so AC = 7/9 and CD = 2/9
1 + 2 = 3, so AB = 1/3 = 3/9 and
BD = 2/3 = 6/9
AB + BC = AC
3/9 + BC = 7/9, so BC = 4/9
AB:BC:CD = (3/9):(4/9):(2/9) = 3:4:2
A company gives each worker a cash bonus on every Friday randomly giving a co-worker and amount with these probabilities $10.75 $50.25 over many weeks what is the expected workers weekly bonus
PLEASE ANSWER ASAP !!!!!!!!!!!!!!!!!!! WILL GET BRAINLEST IF CORRECT!!!!!!!!!!!!!!!!!!!!!!
Help me solve solution to the system of equations.
Answer:
\((\frac{5}{3} ;\frac{4}{3} ).\)
Step-by-step explanation:
\(\left \{ {{x+y=3} \atop {\frac{y+2}{2} =x}} \right. \ = > \ \left \{ {{x+y=3} \atop {y+2=2x}} \right. \ = > \ \left \{ {{x+y=3} \atop {2x-y=2}} \right. \ = > \ \left \{ {{x=\frac{5}{3} } \atop {y=\frac{4}{3} }} \right.\)
4n^2-22=27 please show work
Answer:
n = 7/2
Step-by-step explanation:
4n^2-22=27
4n^2 = 27 + 22
4n^2/4 = 49/4
sqrtn^2 = sqrt(49/4)
n = 7/2
Steve completed 25% of the 40 math problems that were assigned for
homework. How many more problems does Steve need to complete?
Lindsaya
Answer:
30
Step-by-step explanation:
40-25%=30
Answer:
30
Step-by-step explanation:
quarter it, 25% of 40 is 1/4 so 30
In a quiz, positive marks are given for correct answers and
negative marks are given for incorrect answers. If Jack ‘s scores
in five successive rounds were 25, -5, -10,15 and 10, what was his
total at the end?
Answer:
35
Step-by-step explanation:
just trust me its the total
Answer:
35
Step-by-step explanation:
25-5=20
20-10=10
10+15=25
25+10=35
Use the ten frame to make a
ten to help you subtract. Ray has 14 pens. 8 are black. The rest are blue. How many pens are blue?
Answer:6 pens are blue
Step-by-step explanation:because 14-8=6 pens would be left and would be blue
−0.22+�−0.33−0.22x+x−0.33x?
The answer to the equation −0.22x + x − 0.33x is 0.11x.
The answer is 0.11x. To solve this, we can start by rearranging the terms of the equation. The equation can be written as:
−0.22x + x − 0.33x = −0.22 + 0.33x
We then subtract x from both sides of the equation, resulting in:
−0.22x − x = −0.22 + 0.33x − x
We then combine like terms on the left side of the equation, resulting in:
−1.22x = −0.55
Finally, we divide both sides of the equation by -1.22 to solve for x, resulting in:
x = 0.11
Therefore, the answer is 0.11x.
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Complete question
What is the value of -0.22+−0.33−0.22x+x−0.33x?
Department 1 of a two department production process shows:
Units
Beginning Work in Process 9900
Ending Work in Process 49000
Total units to be accounted for 180200
How many units were transferred out to Department 2?
131200.
180200.
170300.
49000.
Answer:
131,200 units
Step-by-step explanation:
The number of units transferred to Department 2 from Department 1 is the total units to be accounted for which is 180,200 units minus the ending work in process of 49,000 units.
The logic here is that Department 1 is to account for 180,200 units ,part of which is the ending working process while the remainder which was transferred out is the difference between the two figures
units transferred to Department 2=180,200-49,000= 131,200.00 units