If we compare the given values then we can find that the database B is more likely to have smaller standard deviation.
Given that the values in database A are 0 from 100 and has mean of 50 and Database B has entries from 49 to 51 and also has mean of 50.
We are required to find the database whose standard deviation is lower.
Standard deviation measures the variation of values. It is calculated after finding mean. The square of a standard deviation is known as variance.
Database A has values from 0 to 100 and has mean of 50. Because the values are somewhat very larger than 50 and in database B has values from 49 to 51,there are more chances that the standard deviation of database B will have smaller value than from standard deviation of database A.
Hence if we compare the given values then we can find that the database B is more likely to have smaller standard deviation.
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Sketch the graphic y=|x+1|
Answer:
Consider the table for y= |x+1| :
x | y
---------
0 1
1 2
2 3
-1 2
-2 3
This would give us the parent function of y=|x| but translated up one unit. It should look like a v starting at (0, 1)
What is the resulting polynomial when -7w² +13 is subtracted from -2w²+6w - 19?
Answer:
5w^2 + 6w - 32
Step-by-step explanation:
Subtract as needed and combine like terms
(-2w^2 + 6w - 19) - (-7w^2 +13) dont forget to distribute the negative
so you get this:
-2w^2 + 7w^2 = 5w^2
6w
-19 - 13 = - 32
your answer is 5w^2 + 6w - 32
hope this helps :)
Hi :)
Let's solve by combining like terms
——————————Combining like terms means you add or subtract
terms with the same variable (if any)terms with the same exponentSolve by combining like terms
[tex]\implies\darkblue\sf{-2w^2+6w-19-(-7w^2+13)}\\\implies\darkblue\sf{-2w^2+6w-19+7w^2-13}\\\implies\darkblue\sf{-2w^2+7w^2+6w-19-13}\\\implies\darkblue\sf{\underline{5w^2+6w-32}}[/tex]
[tex]\tt{Learn\:More;Work\:Harder}[/tex]
:)
Use the following information collected in a town of fast food restaurants. 13 served hamburgers, 8 served roast beef sandwiches, 10 served pizza, 5 served hamburgers and roast beef sandwiches 3 served hamburgers and pizza, 2 served roast beef sandwiches and pizza, 1 served hamburgers, roast beef sandwiches and pizza, 5 served none of the three foods
a) Construct a Venn Diagram and put the correct numbers in the Venn diagram.
b) Find the Probabilities. P(pizza)= ___________
c) P (roast beef and pizza)=___________
d) P ( hamburgers, but not roast beef) =______________
e) P (only hamburgers) = ____________
Answer:
I don't know what are you saying bro
A shark begins 172.5 meters below sea level and then swam up 137.1 meters,. Where is the sharks location now in relation to sea level
Answer:
35.4m below sea level
Step-by-step explanation:
172.5 - 137.1 = 35.4
The shark's location is now 35.4m below sea level.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
For example 4 -2 = 2
Using the arithmetic operations of addition and subtraction, the shark's location is now in relation to sea level if the shark begins 172.5 meters below sea level and then swam up 137.1 meters.
Assume that distance below sea level is positive,
⇒ 172.5 - 137.1 = 35.4
Hence, the shark's location is now 35.4m below sea level.
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last week you worked the following hours monday 5 1/2 wednesday 6 3/4 friday 4 1/2 how many hour did you work in all week
Answer:
Step-by-step explanation:
You worked 16 hours and 45 minutes
5 1/2 = 5 hours and 30 minutes
6 3/4 = 6 hours and 45 minutes
4 1/2 = 4 hours and 30 minutes
Add the hour and minutes.
5 hours 30 min + 4 hours 30 min = 10 hours
10 hours + 6 hours 45 min = 16 hours and 45 minutes
PLEASE HELP ALOT OF POINTSThe Pythagorean Theorem states "The square on the hypotenuse of a
right triangle is equal to the sum of the squares on the two legs". Jaylene
produces this image in her notebook and claims that it proves the
Pythagorean Theorem is true. Is this a fair claim? Why or why not?
Answer:
choice C. Yes, this image proves the pythagorean theorem is true because 9 + 16 = 25
Step-by-step explanation:
17 + x =31
i need help
Answer:
x= 14
Step-by-step explanation:
First (and only) we subtract 17 from both sides :
17 + x - 17 = 31 - 17
x = 31 - 17
x = 14
Hope this helped and have a good day
The answer is 14.
To solve this, only one step is required, which is : Subtract 17 from each side.
17 + x - 17 = 31 - 17x = 14Suppose you are still committed to owning a $190,000 BMW (see Question 9). If you believe your mutual fund can achieve a 12% annual rate of return and you want to buy the car in nine years on the day you turn 30, how much must you invest today?
The amount of money which you must invest today is equal to $68,517.85.
How to calculate the present value?Mathematically, the present value of an investment can be calculated by using this formula:
Present Value, PV = FV/(1 + r)^t
Given the following data:
Time, t = 9 years.
Future value, FA = $190,000.
Interest rate, r = 12% = 0.12.
Substituting the given parameters into the formula, we have;
PV = 190,000/(1 + 0.12)^9
PV = 190,000/(1.12)^9
PV = 190,000/2.7730
PV = $68,517.85.
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Sims waist is 30 inches. He wants to put on more weight and is hoping to gain enough weight to increase his waist size by 8%. How many inches does he want his waist to be?
Sim wants to increase his waist size to 32.4 inches.
How many inches does Sim want his waist to be?Sim wants the increase to be 8% of 30 inches.
The amount of increase Sim wants in his waist size exists
8% × 30 inches.
= 0.08 × 30 inches.
= 2.4 inches.
Adding the wanted increase to his present size would create Sim's waist size to be
30 in + 2.4 in = 32.4 inches.
Sim wants to increase his waist size to 32.4 inches.
Therefore, the correct answer is 32.4 inches.
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Find the value of u -8 given that -7u-5=2
Answer: u - 8 = -9
Step-by-step explanation:
Given equation
-7u - 5 = 2
Add 5 on both sides
-7u - 5 + 5 = 2 + 5
-7u = 7
Divide -7 on both sides
-7u / (-7) = 7 / (-7)
u = -1
Substitute values into the goal expression
u - 8 = (-1) - 8 = [tex]\Large\boxed{-9}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
The answer is -9.
First, let's find the value of u.
-7u - 5 = 2-7u = 7u = -1Now, substitute in the expression.
u - 8(-1) - 8-9A:HOW MANY DISTINCT ARRANGEMENTS CAN BE MADE WITH THE LETTERS IN THE
WORD CONNECTION?
B: HOW MANY AUTOMOBILE LICENSE PLATES CAN BE MADE IF EACH PLATE
CONTAINS 3 DIFFERENT DIGITS FOLLOWED BY 3 DIFFERENT LETTERS?
Answer:
A:The Reqd. No. of Permutations=3360
Step-by-step explanation:
I couldn’t find the answer to B..sorry
Joyce paid $108.00 for an item at the store that was 40 percent off the original price. What was the original price?
The original price of the item is $180
The values given in the question are;
Actual cost of the item Joyce bought= $108
The item was sold 40 percent off the original price
The original price can be calculated as follows
The first step is to subtract 40% from 100%
100%- 40%
= 60%
Let x represent the original price of the item
60/100x= 108
0.6x= 108
Divide both sides by the coefficient of x which is 0.6
0.6x/0.6= 108/0.6
x= 180
Thus, the original price of the item is $180
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Maricopa's Success scholarship fund receives a gift of $ 215000. The money is invested in stocks, bonds, and CDs. CDs pay 2.25 % interest, bonds pay 2 % interest, and stocks pay 9.2 % interest. Maricopa Success invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 8087.5 , how much was invested in each account?
The amount of money invested in stocks was $50000, $90000 was invested in bonds and $75000 was invested in CDs
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Let x represent the amount of money invested in stocks, y represent bonds and z represent CDs, hence:
x + y + z = 215000 (1)
Also:
0.0225z + 0.02y + 0.092x = 8087.5 (2)
And:
y = 15000 + z (3)
The solution of the equation is:
x = 50000, y = 90000 and z = 75000
The amount of money invested in stocks was $50000, $90000 was invested in bonds and $75000 was invested in CDs
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INDUSTRIES IS CONSIDERING PURCHASING A CERTAIN STOCK. AFTER
CONSIDERABLE RESEARCH, THE BOARD MEMBERS DETERMINE THAT THERE IS A 60% CHANCE OF MAKING $8000, A 10% CHANCE OF BREAKING EVEN, AND A 30% CHANCE
OF LOSING $6200. FIND THE EXPECTATION OF THIS PURCHASE
One serving of chicken has 148 grams of protein, which is 80% of the recommended daily amount.
Answer:
x = 185 grams
Step-by-step explanation:
let 100% of the recommended daily amount = x
148 = 80%x
148 = 0.8x
divide by 0.8 both sides
x = 185
Write y(t)=2sin 4 pi t + 5 cos 4 pi t) in the form y(t) A sin (wt + Ø) and identify the amplitude, angular frequency, and the phase shift of the spring motion.
Record your answers in the response box.
Expanding the desired form, we have
[tex]A \sin(\omega t + \phi) = A \bigg(\sin(\omega t) \cos(\phi) + \cos(\omega t) \sin(\phi)\bigg)[/tex]
and matching it up with the given expression, we see that
[tex]\begin{cases} A \sin(\omega t) \cos(\phi) = 2 \sin(4\pi t) \\ A \cos(\omega t) \sin(\phi) = 5 \cos(4\pi t) \end{cases}[/tex]
A natural choice for one of the symbols is [tex]\omega = 4\pi[/tex]. Then
[tex]\begin{cases} A \cos(\phi) = 2 \\ A \sin(\phi) = 5 \end{cases}[/tex]
Use the Pythagorean identity to eliminate [tex]\phi[/tex].
[tex](A\cos(\phi))^2 + (A\sin(\phi))^2 = A^2 \cos^2(\phi) + A^2 \sin^2(\phi) = A^2 (\cos^2(\phi) + \sin^2(\phi)) = A^2[/tex]
so that
[tex]A^2 = 2^2 + 5^2 = 29 \implies A = \pm\sqrt{29}[/tex]
Use the definition of tangent to eliminate [tex]A[/tex].
[tex]\tan(\phi) = \dfrac{\sin(\phi)}{\cos(\phi)} = \dfrac{A\sin(\phi)}{\cos(\phi)}[/tex]
so that
[tex]\tan(\phi) = \dfrac52 \implies \phi = \tan^{-1}\left(\dfrac52\right)[/tex]
We end up with
[tex]y(t) = 2 \sin(4\pi t) + 5 \cos(4\pi t) = \boxed{\pm\sqrt{29} \sin\left(4\pi t + \tan^{-1}\left(\dfrac52\right)\right)}[/tex]
where
• amplitude:
[tex]|A| = \boxed{\sqrt{29}}[/tex]
• angular frequency:
[tex]\boxed{4\pi}[/tex]
• phase shift:
[tex]4\pi t + \tan^{-1}\left(\dfrac 52\right) = 4\pi \left(t + \boxed{\frac1{4\pi} \tan^{-1}\left(\frac52\right)}\,\right)[/tex]
A taxicab charges $1.75 for the flat fee and $0.25 for each mile. Write a
O $1.75 + $0.25x ≤ $15
O$1.75 + $0.25x ≥ $15
$0.25 + $1.75x ≤ $15
$0.25 + $1.75x ≥ $15
chef John bought 3 dozen eggs for $16.20 what is the unit price a $10.80 per 2 dozen eggs b $5.40 per 12 eggs c $0.45 per eggs d $0.22 per eggs e none of these f I don't know this yet
Answer:
0.45 per egg
Step-by-step explanation:
since it's 3 dozen that mean it's gonna be 36 eggs divided by 16.20 so it's 0.45 per egg
Calculus HW , will someone please teach me how to do this problem. thanks! 10 Points
Your answers seem to be on the right track. These online homework apps can be picky about the answer they accept, though.
Given [tex]f(x) = x^4 - 2x^2 + 3[/tex], we have derivative
[tex]f'(x) = 4x^3 - 4x = 4x (x^2 - 1) = 4x (x - 1) (x + 1)[/tex]
with critical points when [tex]f'(x) = 0[/tex]; this happens when [tex]x=0[/tex] or [tex]x=\pm1[/tex].
We also have second derivative
[tex]f''(x) = 12x^2 - 4 = 12 \left(x^2-\dfrac13\right) = 12 \left(x - \dfrac1{\sqrt3}\right) \left(x + \dfrac1{\sqrt3}\right)[/tex]
with (possible) inflection points when [tex]x=\pm\frac1{\sqrt3}=\pm\frac{\sqrt3}3[/tex].
Intercept
If "intercept" specifically means [tex]y[/tex]-intercept, what you have is correct. Setting [tex]x=0[/tex] gives [tex]f(0) = 3[/tex], so the intercept is the point (0, 3).
They could also be expecting the [tex]x[/tex]-intercepts, in which case we set [tex]f(x)=0[/tex] and solve for [tex]x[/tex]. However, we have
[tex]x^4 - 2x^2 + 3 = \left(x^2 - 1\right)^2 + 2[/tex]
and
[tex]x^2-1\ge-1 \implies (x^2-1)^2 \ge (-1)^2 = 1 \implies x^4-2x^2+3 \ge 2[/tex]
so there are no [tex]x[/tex]-intercepts to worry about.
Relative minima/maxima
Check the sign of the second derivative at each critical point.
[tex]f''(-1) = 8 > 0 \implies \text{rel. min.}[/tex]
[tex]f''(0) = -4 < 0 \implies \text{rel. max.}[/tex]
[tex]f''(1) = 8 > 0 \implies \text{rel. min.}[/tex]
So we have two relative minima at the points (-1, 2) and (1, 2), and a relative maximum at (0, 3).
Inflection points
Simply evaluate [tex]f[/tex] at each of the candidate inflection points found earlier.
[tex]f\left(-\dfrac{\sqrt3}3\right) = \dfrac{22}9[/tex]
[tex]f\left(\dfrac{\sqrt3}3\right) = \dfrac{22}9[/tex]
2X/x+2 = - (6/x+4)
This is a problem which I think I’m supposed to get a form like x^2+x+1
Step-by-step explanation:
it's 2x²+8x
and I cannot understand your question
Answer:
x = - 6, x = - 1
Step-by-step explanation:
[tex]\frac{2x}{x+2}[/tex] = - [tex]\frac{6}{x+4}[/tex] ( cross- multiply )
2x(x + 4) = - 6(x + 2) ← distribute parenthesis on both sides )
2x² + 8x = - 6x - 12 ( subtract - 6x - 12 from both sides )
2x² + 14x + 12 = 0 ( divide through by 2 )
x² + 7x + 6 = 0 ← in standard form
(x + 6)(x + 1) = 0 ← in factored form
equate each factor to zero and solve for x
x + 6 = 0 ⇒ x = - 6
x + 1 = 0 ⇒ x = - 1
Is
7 3
a proper, an improper, a mixed number, or a decimal fraction?
a proper fraction
an improper fraction
a mixed number
a decimal number
Answer: an improper fraction
Step-by-step explanation: An improper fraction is a fraction that is larger than 1 7/3 is larger than one because 7, the numerator is larger than the denominator so 7/3 is an improper fraction
A rectangular dining room has an area of 64 m². Its perimeter is 32 m. What are the dimensions of the dining room
Given the area and perimeter of the rectangular dining room, the dimensions of the dining room are 8m by 8m.
What are the dimensions of the dining room?The area of rectangle is expressed as;
A = l × b
The perimeter of a rectangle is expressed as;
P = 2( l + b )
Given that;
Area of the rectangular dining room A = 64m²Perimeter of the rectangular dining room P = 32mLength of the rectangular dining room l = ?Breadth of the rectangular dining room b = ?We use the information given to form a system of equations.
A = l × b
64 = l × b
P = 2( l + b )
32 = 2( l + b )
Hence, we have;
64 = l × b --------- equ 1
32 = 2( l + b )-----equ 2
Lets make l the subject of the formula in equation 1
64 = l × b
l = 64/b -------------equ 3
Substitute equation 3 into equation 2
32 = 2( l + b )
32 = 2l + 2b
32 = 2(64/b) + 2b
32 = 128/b + 2b
Now, we solve for b.
32 = 128/b + 2b
32 - 2b = 128/b
32b - 2b² = 128
2b² - 32b + 128 = 0
We factor out 2
2( b² - 16b + 64) = 0
From perfect square rule
2( 8-b )² = 0
divide both side by 2 and take the square root of both side
( 8-b )² = 0
8-b = 0
b = 8
Substitute b=8 into equation 1
64 = l × b
64 = l × 8
l = 64/8
l = 8
Given the area and perimeter of the rectangular dining room, the dimensions of the dining room are 8m by 8m.
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A satellite orbits the Earth at a height of 343 kilometers. If the satellite makes 8 revolutions around the Earth, how many kilometers does it travel? (Earth's diameter is 6371 kilometers.) Use 3.14 as the approximate value of pi .
The number of kilometres travelled by the satellite in discuss in which case, the satellite makes 8 revolutions around the earth is; C = 177,271.8 km.
What is the distance in kilometres covered by the satellite after 8 revolutions?Given from the task content, the earth's diameter is; 6371 km and since, the height at which the satellite orbits the earth is; 343km, it follows that the diameter of orbit if the satellite in discuss is;
D = 6371 + (343)×2
Hence, we have; diameter, D = 7057 km.
Hence, the distance travelled after 8 revolutions is;
C = 8 × πd
C = 8 × 3.14 × 7057
C = 177,271.8 km.
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The graph of a function g is shown below.
Use the graph of the function to find its average rate of change from x=-2 to x=4.
Simplify your answer as much as possible.
1-10
Answer: -2
Step-by-step explanation:
The graph passes through (-2, 3) and (4, -9).
So, the average rate of change is [tex]\frac{-9-3}{4-(-2)}=\boxed{-2}[/tex]
Instructions: Match the following data with the correct stem and leaf.
Helped need please
Based on the stem and leaf plots given, the correct stem and leaf plot for the first table on per capita income is the third stem and leaf diagram.
For the table on the basketball tornament, the correct stem and leaf plot would be the last one.
How are stem and leaf plots used?First look at the key to the bottom right of the plot to see how to interpret the data.
The key on the third stem and lead plot says 1 I 2 = 12,000. This means that every steam and lead pairing is in thousands.
Based on the income per capita being in thousands, this is the most likely stem and lead plot for the first table on income per capita.
The second table about basketball tornament appearances is on single and double digits. Only a small stem and leaf key will do.
Look at the number of appearances. The minimum is 1. On a stem and leaf, this is shown as 0 I 1. Options A and B don't have this so we go to Options C and D.
As established, Option C is for data in their thousands so it is out. The correct stem and leaf plot is therefore Option D.
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G wants to get over 9000 comments on his videos. He gets the same number of comments for each cat video that he uploads, and he gets the same number of comments for each dog video that he uploads. Let C represent the number of cat videos and D represent the number of dog videos that G should upload to achieve his goal.
750C+450D>9000 According to the inequality, how many comments does each cat video get, and how many comments does each dog video get?
can G achieve his goal by uploading 8 cat videos and 7 dog videos?
Answer:
Each Cat video gets 750 comments
Each dog video gets 450 comments
Hope this helps you!
Answer:
He gets 750 comments on the cat videos and 450 on the dog videos the answer to the second question is yes
Step-by-step explanation:
khan :)
Target Costing
Instant Image Inc. manufactures color laser printers. Model J20 presently sells for $460 and has a product cost of $230, as follows:
Direct materials $175
Direct labor 40
Factory overhead 15
Total $230
It is estimated that the competitive selling price for color laser printers of this type will drop to $400 next year. Instant Image has established a target cost to maintain its historical markup percentage on product cost. Engineers have provided the following cost-reduction ideas:
Purchase a plastic printer cover with snap-on assembly, rather than with screws. This will reduce the amount of direct labor by 15 minutes per unit.
Add an inspection step that will add six minutes per unit of direct labor but reduce the materials cost by $20 per unit.
Decrease the cycle time of the injection molding machine from four minutes to three minutes per part. Forty percent of the direct labor and 48% of the factory overhead are related to running injection molding machines.
The direct labor rate is $30 per hour.
a. Determine the target cost for Model J20, assuming that the historical markup on product cost and selling price are maintained.
$fill in the blank 1
per unit
b. Determine the required cost reduction.
$fill in the blank 2
per unit
c. Evaluate the three engineering improvements together to determine if the required cost reduction (drift) can be achieved. Do not round interim calculations but round your final answers to two decimal places.
1. Direct labor reduction $fill in the blank 3
per unit
2. Additional inspection $fill in the blank 4
per unit
3. Injection molding productivity improvement $fill in the blank 5
per unit
Total savings $fill in the blank 6
per unit
a) The target cost for Model J20, assuming that the historical markup on product cost and selling price is maintained, is $200 per unit.
b) The required cost reduction per unit is $30 per unit ($230 - $200).
c) An evaluation of the three engineering improvements together to determine if the required cost reduction (drift) can be achieved as follows:
While the calculated cost reduction, including direct materials, is $25, the required reduction to achieve the target markup cost is $30.
Thus, the expected target cost reduction does not add up with the calculated cost reduction, envisaged by the engineers.
Data and Calculations:Model J20 Selling price per unit = $460
Direct materials $175
Direct labor 40
Factory overhead 15
Total $230
Direct labor rate = $30 per hour
Direct labor rate per minute = $0.50 ($30/60)
Direct labor hours per unit = 1¹/₃ hours ($40/$30) or 80 minutes
Direct labor hours per unit reduction:Normal direct labor time = 80 minutes
Plastic printer cover = -15 minutes
Total new direct labor time = 65 minutes
Direct labor rate per unit = $32.50 ($0.5 x 65)
Additional inspection time = 6 minutes
Injection molding machine = 1 minute
Direct materials cost = $155 ($175 - $20)
Historical markup = 200% ($460/$230 x 100)
Target cost based on historical markup = $200 ($400 x 100/200)
Required cost reduction per unit is $30 per unit ($230 - $200)
1. Direct labor reduction of $7.50 per unit ($40 - $32.50)
2. Additional inspection $3 per unit (6 x $0.50)
3. Injection molding productivity improvement $0.50 per unit
4. Material cost reduction = $20
Total savings are $25 per unit ($7.50 - $3 + $0.50 + $20).
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Using the standard form of the equation in question 1, what are the length of the radius and the coordinates of the center for this particular circle? Watch your signs for the variables h and k. 12pt
The coordinates of the center is at (1, 0) and the length of the radius is 4 units.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The standard form of a circle is:
(x - h)² + (y - k)² = r²
Where (h, k) is the center of the circle and r is the radius.
The coordinates of the center is at (1, 0) and the length of the radius is 4 units.
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Need some help with macroeconomics !
The monetary policy that the Central Bank is using to address the downturn in the economy is the reduction of the reserve requirement from 17% t 14%.
What is monetary policy?It should be noted that the monetary policy is the set of actions to control money supply in the economy.
The macroeconomic issues resulting from the pandemic on Trinidad and Tobago are that there are less money in circulation and there's a reduction in the standard of living.
The reduction of the reserve requirement will impact the money supply as it will lead to more money in circulation.
Complete question:
1. What form of monetary policy can the Central Bank use to address the downturn in the economy resulting from the pandemic?
2. Identity and explain two macroeconomic issues resulting from the pandemic on Trinidad and Tobago.
3. Identify how the reserve requirement will impact the money supply.
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A man gave out $24000 to his three brothers A,B and C to be shared among themselves . If A takes twice as much as B and B is given one third of what C takes , how much did each of them receive?
Answer:
A = 8000
B = 4000
C = 12000
Step-by-step explanation:
$24000 = A,B and C
A = 2B
B = 1/3C
solve for the letter that gets described the most
that letter is B
A =2B
B = 1/3C -> C = 3B
24000 = A + B + C
24000 = 2B + B + 3B
24000 = 6B
B = 4000
A =2B = 8000
C = 3B = 12000
