M = Slope
(4,-1) = Vertical Intercept
Slope can be found by puting y/x which is 2/3 meaning the slope would be 0.66, but x+1 would change the vertices intercept. Keep in mind my math is NOT perfect as I am also still learning slope and linear relationships.
Nadia has $1.35 in nickels. How many nickels
does she have?
Answer:
27 Nickels
Step-by-step explanation:
Divide 1.35 by 0.05
= 27
Find the area of the figure. Type your answer as just a number, without units.
After considering all the given data we conclude that the area of the given figure is 80, under the condition that the given figure is a rhombus.
Let us name the rhombus as ABCD, now looking at the figure we can detect that there are two diagonals crossing each other making a point E, this allows the two diagonals to split in four smaller lines that are congruent in value
Then
Line AE = 5ft and Line ED = 5ft (because of congruency)
Line CE = 8ft and Line EB = 8ft(because of congruency)
Therefore,
Now we know that the diagonals
AD = 10ft
CB = 18 ft
The area of a rhombus can be evaluated applying the formula
Area = (d1 × d2) / 2,
Here,
d1 and d2 = lengths of the diagonals.
For this case, the diagonals are 10 ft and 16 ft.
Then, the area of the rhombus is
(10 × 16) / 2
= 80
Then, the area of the given figure is 80.
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A shipment of 50,000 transistors arrives at a manufacturing plant. The quality control engineer at the plant obtains a random sample of 500 resistors and will reject the entire shipment if 10 or more of the resistors are defective. Suppose that 4% of the resistors in the whole shipment are defective. What is the probability the engineer accepts the shipment? Do you believe the acceptance policy of the engineer is sound?
Step-by-step explanation:
remember, the number of possible combinations to pick m out of n elements is C(n, m) = n!/(m! × (n-m)!)
50,000 transistors.
4% are defective, that means 4/100 = 1/25 of the whole.
so, the probability for one picked transistor to be defective is 1/25.
and the probability for it to work properly is then 1-1/25 = 24/25.
now, 500 picks are done.
to accept the shipment, 9 or less of these 500 picks must be defective.
the probability is then the sum of the probabilities to get
0 defective = (24/25)⁵⁰⁰
1 defective = (24/25)⁴⁹⁹×1/25 × C(500, 1)
= 24⁴⁹⁹/25⁵⁰⁰ × 500
2 defective = (24/25)⁴⁹⁸×1/25² × C(500, 2)
= 24⁴⁹⁸/25⁵⁰⁰ × 250×499
3 defective = 24⁴⁹⁷/25⁵⁰⁰ × C(500, 3) =
= 24⁴⁹⁷/25⁵⁰⁰ × 250×499×166
...
9 defective = 24⁴⁹¹/25⁵⁰⁰ × C(500, 9) =
= 24⁴⁹¹/25⁵⁰⁰ × 500×499×498×497×496×495×494×493×492×491 /
9×8×7×6×5×4×3×2 =
= 24⁴⁹¹/25⁵⁰⁰ × 50×499×166×71×31×55×494×493×41×491
best to use Excel or another form of spreadsheet to calculate all this and add it all up :
the probability that the engineer will accept the shipment is
0.004376634...
which makes sense, when you think about it, because 10 defect units in the 500 is only 2%. and since the whole shipment contains 4% defect units, it is highly unlikely that the random sample of 500 will pick so overwhelmingly the good pieces.
is the acceptance policy good ?
that completely depends on the circumstances.
what was the requirement about max. faulty rate in the first place ? if it was 2%, then the engineer's approach is basically sound.
it then further depends what are the costs resulting from a faulty unit ? that depends again on when the defect is usually found (still in manufacturing, or already out there at the customer site, or somewhere in between) and how critical the product containing such transistors is. e.g. recalls for products are extremely costly, while simply sorting the bad transistors out during the manufacturing process can be rather cheap. if there is a reliable and quick process to do so.
so, depending on repair, outage and even penalty costs it might be even advisable to have a harder limit during the sample test.
in other words - it depends on experience and the found distribution/probability curve, standard deviation, costs involved and other factors to define the best criteria for the sample test.
A circle has a diameter of 30 m. What is its circumference?
Use 3.14 for me, and do not round your answer. Be sure to include the correct unit in your answer?
Answer:
C=94.2m
Step-by-step explanation:
D=30m
R=30/2=15m
C=2(3.14)(R)
C=2(3.14)(15)
C=94.2m
Answer: 94.2
Step-by-step explanation:
select the spreadsheet formula that would correctly calculate the average (mean) of the following values: 25, 50, and 75.
The spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.
What is an average?An average is a single number taken as representative of a list of numbers, generally the sum of the numbers divided by how many numbers are in the list (the arithmetic mean).
What is the formula to calculate the average?The formula to calculate the average of given numbers is equal to the sum of all the values divided by the total number of values. Average = Sum of Values / Number of Values.
So, in this case:
Values: 25, 50, 75
Number of Values: 3
Thus, the average:
Sum of Values / Number of Values = (25 + 50 + 75) / 3 = 50
Hence, the spreadsheet formula that would correctly calculate the average (mean) of the given values is: (25 + 50 + 75) / 3 = 50.
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The area of an 18-cm-wide rectamgle is 378 cm2 what is the length the legth is ? cm
Answer:
21 cm
Step-by-step explanation:
a = lw
378 = l * 18
Divide both sides by 18
21 = l
1. Solve for :
2(3x - 3) = -18
Answer:
-2
Step-by-step explanation:
1. Rewrite the equation:
2(3x - 3) = -18
2. Use the distributive property:
2(3x - 3) = -18 ---> 6x - 6 = -18
3. Add 6 to both sides:
6x - 6 = -18 ---> 6x = -12
4. Divide both sides by 6:
6x = -12 ---> x = -2
Now we know our answer is -2, let's make sure it's correct:
2(3x - 3) = -18
2(3(-2) - 3) = -18
2(-6 - 3) = -18
-12 - 6 = -18
-18 = -18
This tells us our answer is true!
Hope this helps :D
Help help help help help help help
Here is ur perfect answer
Answer:
second one
Step-by-step explanation:
y=7x/5 - 4 in standard form
Which description compares the domains of Function A and Function B correctly? Function A: f(x)=logx Function B: A square root function graphed on a grid in Quadrant One, with the x and y axis beginning at negative ten and increasing in increments of two until reaching ten. The function, labeled g of x, contains a filled in point at begin ordered pair one comma zero end ordered pair and passes through begin ordered pair eight comma two end ordered pair as a smooth curve while extending to infinity. Responses The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of both functions is the set of real numbers greater than or equal to 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of Function A is the set of real numbers greater than or equal to 1. The domain of Function B is the set of real numbers greater than 1. The domain of both functions is the set of real numbers.
The domain of function A and function B are compared by the statement of Option A: The domain of Function A is the set of real numbers greater than 0. The domain of Function B is the set of real numbers greater than or equal to 1.
What is a function?
A function is a fundamental concept in mathematics that relates a set of inputs (also known as the domain) to a corresponding set of outputs (sometimes referred to as the codomain). For each input, there exists exactly one output, and the output can be linked to its corresponding input in a unique manner.
The domain of a function refers to the set of all possible input values for which the function can produce an output.
In Function A, the domain consists of all real numbers greater than 0, since it is a logarithmic function that can take any positive number as an input.
In contrast, the domain of Function B includes all real numbers greater than or equal to 1, since it is a square root function that begins at (1,0) and continues to infinity.
This means that any number greater than or equal to 1 can be used as an input to produce a corresponding output.
It is essential to define the domain of a function accurately to ensure that the function is well-defined and to avoid potential errors or ambiguities in mathematical computations.
Therefore, the correct statement is A.
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Can you work out at what height the ladders cross?
Are you surprised that we don't need to know the distance between the
two walls?
Suppose now the first ladder is 10m above the
base of the second wall, with the second ladder
remaining as before.
Can you work out at what height the ladders
cross now?
5m
Suppose the first ladder meets the wall at a
height of a metres, as in the diagram.
At what height do the ladders cross now?
Suppose the second ladder meets the wall at a
height of b metres, as in the diagram.
At what height do the ladders cross now?
5m
nrich.maths.org/510
© University of Cambridge
10m
a
Three degrees of freedom remain after applying five equations to eight variables. The other five variables may theoretically be solved for by specifying any three of them.
What is the height of ladder ?Five equations link these eight variables together. There are two equations given by the Pythagorean Theorem.
\(a^ 2=x^ 2+w^2 \ b^2=y^2+w^{\} 2\)\
Two more are provided by the side ratios of similar triangles.
\(x/w=c/v\)
\(y/w=c/u\)
The two triangles are connected by the fifth equation, which is a straightforward linear relationship.
\(w=u+v\)
Three degrees of freedom remain after applying five equations to eight variables. The other five variables may theoretically be solved for by specifying any three of them. But it might or might not be simple. What comes next will involve two distinct circumstances.
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1. (-270) ÷ ( 90 )=
2. (-480) ÷ (-80)=
3. (-170) ÷ (17) =
4. (360) ÷ (-90) =
5. (-140) ÷ (-20) =
6.(240) ÷ (-30) =
7. (-150) ÷ (-10) =
8. (125) ÷ (-25) =
7. (-72) ÷ (-8) =
Answer:
1. -3
2. 6
3. -10
4. -4
5. 7
6. -8
7. 15
8. -5
9. 9
Step-by-step explanation:
Just remember that when there is a double minus, the answer turns into a plus, and when there is one, it is negative.
Step-by-step explanation:
1.) (-270) ÷ 90 = -(270 ÷ 90) = -3
2.) (-480) ÷ (-80) = 480 ÷ 80 = 6
3.) (-170) ÷ 17 = -(170 ÷ 17) = -10
4.) 360 ÷ (-90) = -(360 ÷ 90) = -4
5.) (-140) ÷ (-20) = 140 ÷ 20 = 7
6.) 240 ÷ (-30) = -(240 ÷ 30) = -8
7.) (-150) ÷ (-10) = 150 ÷ 10 = 15
8.) 125 ÷ (-25) = -(125 ÷ 25) = -5
9.) (-72) ÷ (-8) = 72 ÷ 8 = 9
√2x² + 7x + 5√2 = 0
find the roots of the following quadratic equation by factorization method
PLS HELP ME FAST
Step-by-step explanation:
√2x² + 7x +√2=0
2x + 7x + √ 2 =0
√2=9x
x = o.15713484
(Number 4)help...plzz
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.3 years with a standard deviation of 1.1 years.
Step 1 of 2: If a sampling distribution is created using samples of the ages at which 35 children begin reading, what would be the mean of the sampling distribution of sample means? Round to two decimal places, if necessary.
Answer:
The mean of the sampling distribution of sample means is equal to the population mean, which is 5.3 years.
give thanks for more! your welcome!
Step-by-step explanation:
Write an equation parallel to the given line through the given point. parallel to y = -1/4x - 12, through (12,10)
Complete the ordered pair for 4x - 5y = 23
Answer:
none of these
Step-by-step explanation:
2. The ramp above connects two vertical supports,
forming two similar triangles: AADE~ AABC. Side AC corresponds to which side in the other triangle?
Answer:
3. What is the length of side BC?
The side AC corresponds to the side AC in the other triangle and the length of BC is 15 units
Side AC corresponds to which sideFor two triangles to be similar, the corresponding sides of the triangles must be in proportion
Having said that
The side AC corresponds to the side AC in the other triangle
What is the length of side BC?The length BC is calculated as
BC/9 = 25/15
Express as products
So, we have
BC = 9 * 25/15
Evaluate the products
BC = 15
Hence, the length of BC is 15 units
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A recipe for limeade calls for 10 limes, 0.25 cups of sugar, 1 quart of water, and 1 sprig of mint, and yields eight 4-fluid-ounces servings. How many limes would you need to make fifteen 0.75 cups servings of limeade.
0.9375 limes are required to make 0.75 cups servings of limeade.
Unitary method is a concept in which the value of a single unit is first found out and then multiplied by the necessary value to get the required answer.
Here, we are given that a recipe for limeade calls for 10 limes and gives us eight cups of servings of limeade.
⇒ 10 limes make up 8 cups
Number of limes required for 1 cup of limeade = 10/8
= 1.25 limes
Thus, limes required for making 0.75 cups of limeade = 1.25 × 0.75
= 0.9375 limes
Thus, 0.9375 limes are required to make 0.75 cups servings of limeade.
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HELP ASAP! I will mark Brainlist! Thanks (:
Answer:
Corresponding angles postulate
Answer:
definition of parrallel lines
Step-by-step explanation:
oh sorry. I understood it as parrallel
Help help help ASAP
Answer:
-8
Step-by-step explanation:
x+2=2(x-1)
_
3
3x+6=2x-2
3x-2x=-2-6
x=-8
In what form is water returned to earths surface?
A. Vapor
B. Precipitation
C. Wind
Answer asap for brainlist please nobody will help me
Answer:
B. Precipitation
Step-by-step explanation:
Precipitation is atmospheric water vapor that condenses to a liquid and then falls back to earth due to gravity.
please tell me where i have to graph this!! also please tell me if i open the dot or not. (NO FILE ANSWERS!!)
Answer:
Graph at 0 with open circle and arrow pointing right. Right now, all you need to do is open circle
Step-by-step explanation:
Dot at 0 bc 0 is only number in equation
Open circle because there is no "or equal to", so it doesn't include zero
pointing right because right is greater than
Find the average value of the functions on the given interval.
Average value of
f\left(x\right)=x [4,9]
The average rate of change of the function over the interval is 1
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
f(x) = x
The interval is given as
From x = 4 to x = 9
The function is a linear function
This means that it has a constant average rate of change
So, we have
f(4) = 4
f(9) = 9
Next, we have
Rate = (9 - 4)/(9 - 4)
Evaluate
Rate = 1
Hence, the rate is 12
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Melody Galvez: Attempt 1
In the diagram, 2L = ZN, ZLOM = ZNMO. The two column proof shows ALOM
ZANMO
Statement
1. EN
Reason
Given
2. LLOMNMO
Given
3. MO = MO
Reflexive Property of Congruence
4. ALMO SANOM
2
Which of the following reasons would justify Statement 4?
O AAA
SSA
O AAS
Answer:Asa
Step-by-step explanation:because I know
Graph the image of this figure after a dilation with a scale factor of 2 centered at the origin.
Use the polygon tool to graph the dilated figure.
Polygon
-10 -9
+Move
10
9
8-
-8 -7 -6 -5 -4 -3 -2 -19
-2
Undo
2 3 4
Redo
5
6
x Reset
00
9
10
The image of the figure after the dilation is added as an attachment
Graphing the image of the figure after the dilationFrom the question, we have the following parameters that can be used in our computation:
Scale factor = 2 centered at the origin.
The coordinates of the figure are
(2, 2), (2, 5), (-2, 2) and (-2, 5)
When dilated by 2 centered at the origin, we have
Image = Points * 2
Substitute the known values in the above equation, so, we have the following representation
Image = (2, 2), (2, 5), (-2, 2) and (-2, 5) * 2
Evaluate
Image = (4, 4), (4, 10), (-4, 4) and (-4, 10)
The graph is added as an attachment
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Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
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24)
Evaluate:
(-4) - (-16) + (-10) - (-1) - (14) + (11)
Answer:
I think its 0.
Step-by-step explanation:
Double negatives make a positive, add the like terms. Hope this helps
Alice used a $250 cash advance from her credit card company to get cash while on a trip. The company charges a daily finance fee of 0.047%. She reported the advance plus the finance fee 40 days later. What amount did Alicia repay the company?
you do 0.047×40 and what ever that gives you you add it to 40 and it will give you the answer
The amount Alicia repaid to the company after 40 days is $254.7.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Advance cash = $250
Daily finance fee = 0.047%
The daily finance fee for 40 days.
= 40 x (0.047% x 250)
= 40 x 0.1175
= $4.7
The total amount paid after 40 days.
= 250 + 4.7
= $254.7
Thus,
The amount paid to the company is $254.7.
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solve 4m+6=15 what is m?