The appropriate hypotheses using a significance level of 0.05 reject H0.
The hypothesis :
H0 : μL - μP ≥ 25
H0 : μL - μP < 25
The sample mean difference; Xd
d = L - P
Xd = Σd/n
d = -198,-336,-70,-18,-122,-9,-50,-5,-163,-86
Xd = - 1057 / 10
Xd = - 105.7
Using calculator ;
Standard deviation of difference, Sd = 103.845
The test statistic :
T = Xd ÷ (Sd/√n)
T = -105.7 ÷ (103.845/√10)
T = - 3.219
Decision region :
Reject H0 ; If P-value < α
The P-value : df = n - 1 ; 10 - 1 = 9
P-value(-3.219, 9) ; two-tailed = 0.00525
Hence the answer is, the appropriate hypotheses using a significance level of 0.05 reject H0.
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Two students created paintings for their art class. The canvas size used for each is shown.
4 ft
6 ft
2 ft
3 ft
Which statement is true about the ratios comparing the width and length of each painting?
O The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
O The paintings' width to length ratios are equal because the ratio 6 to 4 is equal to the ratio 2 to 3.
O The paintings' width to length ratios are different because the ratio 3 to 2 is not equal to 6 to 4.
The paintings' width to length ratios are different because the ratio 4 to 6 is not equal to 3 to 2.
Answer:
The conversion factor is 0.15500031000062; so 1 square centimeter = 0.15500031000062 square inches. In other words, the value in cm2 divide by 6.4516 to get a value in inch2. The calculator answers the questions: 110 cm2 is how many inch2? or change cm2 to inch2. Convert cm2 to inch2.
Conversion result:
1 cm2 = 0.155 inch2
1 square centimeter is 0.155 square inches.
Step-by-step explanation:
The correct option is the 1st one. "The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3."
What is ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)
Given that, Two students created paintings for their art class. The canvas size used for each is shown.
4 ft
6 ft
2 ft
3 ft
So the ratio of width and length of 1st painting = 4:6 = 2:3
And, the ratio of width and length of 2nd painting = 2:3
Hence, we can conclude that, The paintings' width to length ratios are equal because the ratio 4 to 6 is equal to the ratio 2 to 3.
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if the volume of a small container is 14,520 cubic millimeters, what is the volume of the container in cubic centimeters? (1 millimeter
The volume of the container in cubic centimeters is 14.52 cubic centimeters.
Given:
if the volume of a small container is 14,520 cubic millimeters.
Volume:
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.
we know that ,
To convert millimeters to centimeters we need to divide by 1000.
= 14,520/1000
= 1452/100
= 145.2/10
= 14.52 cubic centimeters.
Therefore The volume of the container in cubic centimeters is 14.52 cubic centimeters.
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How do you graph y 3x on a graph?.
The graph is in the image uploaded.
Given equation:
y = 3x
compare this with standard equation y =mx+b
slope m = 3
y intercept b = 0
so the point (0,0)
Table:
x y
0 0
-1 -3
-2 -6
Graphing with above table.
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what is 2 4/5 divided by 4
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
[tex]2\frac{4}{5}=\frac{10}{5}+\frac{4}{5}=\frac{14}{5}\\\frac{14}{5}(\frac{1}{4})=\frac{14}{20}\\\frac{14}{20}=\frac{7}{10}[/tex]
Answer:7/10 or 0.7 I hope this helpful mark me brainlist if you find this correct then no if wrong
Step-by-step explanation:
2 4/5
Convert the mixed number to an improper fraction.
14/5 divide 4
14/5 times 1/4
Cancel out the greatest common factor 2
14 and 4
7/5 times 1/2
Multiply the fractions
7/10
=7/10 or 0.7
How do you draw a square with a compass?.
To learn how to draw a square with a compass, follow the steps below:
What is a square?A square is a regular quadrilateral with four equal sides and four equal angles in Euclidean geometry. It is alternatively defined as a rectangle with two equal-length adjacent sides.
1. We begin with a provided line segment AB>, which will become one of the square's sides.
2. Move the AB line to the right.
3. Place the compasses on B and any suitable width. Draw an arc on each side of B, resulting in the points F and G.
4. Draw an arc above the point B with the compasses on G and any convenient width.
5. Place the compasses on F and draw an arc above B, crossing the preceding arc, and forming point H without changing the width of the compasses.
6. Make a line from B to H. Because this line is perpendicular to AB, the angle ABH is a right angle (90°); this will form the square's second side.
7.Place the compasses on A and adjust the width to AB. This width will remain constant as we design the other three sides of the square.
8. Draw an arc from point A to point B.
9. Move the compasses to point B without changing the width. Draw an arc over BH to create point C, the square's vertex.
10. Move the compasses to C without affecting the width. Draw an arc to the left of C across the existing arc, forming point D - the square's vertex.
11. Draw the CD and AD lines.
Now, ABCD is a square.
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find the area of the polygon below. 15cm 9cm 10cm 5cm
A= blank cm^2
Answer:
95
Step-by-step explanation:
15 * 5 = 75
5 * 4 = 20
20 + 75 = 95
Express the given quantity as a function f(x) of one variable the product of two numbers x and y whose sum is 16
f(x) = 16x - x² is the given quantity expressed as a function f(x)
How to express the quantity as a function f(x) of one variable?
A function is an expression that shows the relationship between the independent variable and the dependent variable. A function is usually denoted by letters such as f, g, etc.
Given that: the product of two numbers x and y whose sum is 16. Thus:
f(x) = x × y ---- (1)
x + y = 16 ---- (2)
=> y = 16-x ---- (3)
Put (3) in (1):
f(x) = x × (16-x )
f(x) = 16x - x²
Therefore, the given quantity expressed as a function f(x) is f(x) = 16x - x²
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Consider n independent flips of a coin having probability p of landing heads. Say a changeover occurs whenever an outcome differs from the one preceding it. If p = 1/2, what is the probability there are k changeovers?(n−1k)(12)n−1 Explanation:
Denote the occurence of a changeover by event - C (for change)
Denote the occurence of a non-changeover by event - S (for sameness)
With this mapping, the above example sequence H H T H T H H T can be rewritten as S C C C C S C, starting from position (2).
Hence, the probability of k changeovers in n trials, is just equal to the probability of occurence of k 'C's in an (n-1) length sequence in the {S,C} universe, as mapped above. But, this is really the same as the probability of occurence of k heads in n-1 trials (because P(S) = P(C) = 1/2, same as probability of occurence of head or a tail). This is nothing but, number of ways of choosing k positions out of n-1 slots for occurence of head (=(n-1)Ck), divided by the total number of combinations possible (=2^(n-1)).
Hence, this is equal to (n−1k)(12)n−1
The probability that there are k turnovers in the given event is
[tex]^{n-1}C_k\cdot(\frac{1}{2})^{n-1}[/tex] .
Let us consider the changeover for the event as C.
Let the non-change over of the event is S
Let the probability of the event be p.
Probability of heads = p
Now Xi =1 if the changeover occurs on the i - th flip.
E[Xi] = 2 × (1-p)×p
Expected number of changeovers :
E[number of change overs] = E[∑ Xi] =2(n-1)(1-p)p
Now the sequence is given as H H T H T H H T
This is same as the probability of k heads in (n-1) trials using binomial distribution .
Required probability = [tex]^{n-1}C_k\cdot(\frac{1}{2})^{n-1}[/tex]
Probability is the concept that describes the likelihood of an event occurring. In real life, we frequently have to make predictions about how things will turn out. We may be aware of the result of an occurrence or not. When this occurs, we say that there is a possibility that the event will occur.
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Mark ave the ame amount of money each month at the end of two year he ha aved £432 how much did he ave each month
By conducting simple mathematical operations, we know that Mark invested £18 each month for 2 years.
What are mathematical operations?An operation is a function in mathematics that transforms zero or more input values into a clearly defined output value.
The operation's arity is determined by the number of operands.
A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations.
Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).
So, the amount Mark saved each month is:
The amount Mark gets after 2 years: £432
We know that 2 years has 24 months.
So we can write that:
The amount Mark gets after 24 years: £432
Amount Mark saved each month:
432/24
£18
Therefore, by conducting simple mathematical operations, we know that Mark invested £18 each month for 2 years.
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What is an example of slope-intercept form?.
Answer:
y = 3x + 1
Step-by-step explanation:
The equation for slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.
true false because working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.
Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.
The statement is true.
Given,
In the question:
Because working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.
Let's know:
An accountant is an expert who handles bookkeeping and types out the monetary files you need to run your business—like profit and loss statements, balance sheets, and extra. They audit your books, put together reviews for tax functions, and simplify all the monetary mumbo jumbo that incorporates going for walks an enterprise.
Answer in true and false.
Now, According to the question:
The above statement is true.
Working papers are the property of an accountant, a client for whom the documents were used and developed has no right of access to them.
Hence, The statement is true.
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a professor of statistics records the number of students who attend office hours one day and the number of questions asked on any one day. let x denote the number of students and y the number of questions asked, and let p(x,y) denote the joint probability mass function for x and y. records indicate that p(0,0)
The joint probability density function (joint pdf) is a function used to characterize the probability distribution of multiple continuous random variables that together form a continuous random vector. The results of asking values are
a) E(X³) = 5.86
b)E(X/Y = 2) = 2
c) E(Y²) = 1.2
d) σᵧ= 0.7483
e) E(3Y) = 2.4
We are given that X, Y denotes the number of students and number of questions respectively.
P(X,Y) denote the joint probability mass function for X and Y. Also provide,
P(0,0)=0.04, P(1,0)=0.16, P(1,1)=0.1, P(2,0)=0.2, P(2,1)=0.3, P(2,2)=0.2.
Therefore the required quantities here are computed as:
P(X = 0) = 0.04
P(X = 1) = 0.26
P(X = 2) = 0.7
a) E(X³) = 0 + 1×0.26 + 23×0.7
= 5.86 is the required value here.
b) Now given Y = 2, the conditional Probability density function for X here is obtained as:
P(X = 2 | Y = 2) = 1
Therefore, E(X | Y = 2) = 2 here.
c) For Y, we have here:
P(Y = 0) = 0.4
P(Y = 1) = 0.4
P(Y = 2) = 0.2
Therefore,
E(Y²) = 0.4×1 + 22×0.2
= 1.2 is the required value here.
d) The standard deviation of Y here is computed as:
E(Y) = 1×0.4 + 2×0.2 = 0.8
S.D(Y) = sqrt( E(Y²) - [E(Y)]²) = sqrt( 1.2 - 0.82 )
= 0.7483 is the required value here.
e) E(3Y) = 3E(Y) = 3×0.8
= 2.4 is the required value here.
The probability that X > 1 and Y > 0 here is computed as:
= p( 2, 1). + p(2, 2) = 0.3 + 0.2 = 0.5 is the required probability.
Hence, we calculate all the required Probability values .
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Complete question:
A professor of Statistics records the number of students who attend office hours one day and the number of questions asked on any one day. Let X denote the number of students and Y the number of questions asked, and let P(X,Y) denote the joint probability mass function for X and Y.
Records indicate that P(0,0)=0.04, P(1,0)=0.16, P(1,1)=0.1, P(2,0)=0.2, P(2,1)=0.3, P(2,2)=0.2.
Thus, for any given day, the probability of, say, two students and 1 question is 0.3.
matches the concept value.
All options are same
a) E(X³)
b)E(X/Y = 2)
c) E(Y²)
d) σᵧ
e) E(3Y)
there are 5,280 feet in a mile. round answers to the nearest unit. a. how many miles does a car traveling at 65 mi/h go in one hour?
The distance covered by the car in 1 hour is 65 miles.
Explain the term unit change?A unit is a quantity with a fixed magnitude that is used to gauge the sizes of other quantities that behave similarly.By definition, unit conversion refers to the division or multiplication operation used to convert measurements with same quantity between various units. The act of converting something from one form to another in mathematics, such as from inches to millimeters or from liters to gallons, is known as conversion.For the stated question-
Car travels with the speed = 65 mi/h.
Total time is 1 hour.
the, by the relation of-
Speed = distance x time
Distance = speed / time
Distance = 65 mi/h / 1 hour
Distance = 65 mi
Thus, the distance covered by the car in 1 hour is 65 miles.
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Waim want to buy weet to ditribute on hi birthday. He want to give 3 weet to each of
hi 28 friend and have 10 weet extra. How hould he calculate the number of weet to
buy?
The number of weet to buy is 84.
We have amount given to one friend and we need to find number of weet given to all of his friends. We use unitary methods to calculate the number of weets.
Let total number of weet be X
Number of weet given to 1 friend = 3
Number of weet given to 28 friend = 28 X 3
= 84
Therefore X = 84
84 weet will be distributed among 28 friend.
Wasim wants 10 weet extra
So, total number of wee he will purchase =
Total weet given to his 28 friends + total extra weet
= 84 + 10
= 94
Hence, Waim will buy 94 weets.
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question 16: why should the z intervals be closer to 95% in the first case, and the t intervals be closer to 95% in the second case?
As there is less ambiguity when the population's standard deviation is known, the z interval with a value of 2.57 is preferable (the interval is too wide).
However, there is more uncertainty when the standard deviation is unknown, thus the t interval of 1.96 is more reasonable (the z-interval is too small). A z interval is a special kind of confidence interval that provides a range of possible values for a given mean or proportion. It can be determined using a standard deviation that is known. Calculate a t-interval when you don't know the standard deviation but still need to obtain a confidence interval. The only difference is that the interval is calculated using a different table: a t-table for a t-interval and a z-table for a z-interval. For more on the exact distinctions between the “T” and “Z”, see: T-scores vs. Z-scores.
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scarlett is younger than nasim. their ages are consecutive integers. find scarlett's age if the sum of scarlett's age and 5 times nasim's age is 185.
Given ages represent the consecutive integers and sum of Scarlett's age and five times Nasim age is 185 , then Scarlett age is equal to 30 years.
As given in the question,
Age represents the consecutive integers and Scarlett age is less than Nasim's age.
Let 'x' represent the age of Scarlett
And ' x + 1' represents the age of Nasim
As per the given condition of their ages we have,
x + 5 ( x + 1 ) = 185
⇒ x + 5x + 5 = 185
⇒ 6x + 5 = 185
⇒ 6x = 185 - 5
⇒ 6x = 180
⇒ x = 180 / 6
⇒ x = 30 years
Therefore, for the given ages represent the consecutive integers and sum of Scarlett's age and five times Nasim age is 185 , then Scarlett age is equal to 30 years.
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which of the following is true of convenience sampling? multiple choice it allows researchers to measure the representativeness of a sample. it allows researchers to generalize the data collected to a defined target population. it is commonly used in the later stages of research. it is a nonprobability sampling method. it is a time-consuming process if there is a large number of respondents.
Convenience sampling is commonly used in the later stages of research and it is a time-consuming process if there is a large number of respondents. So the option 3 ad 5 is correct.
In the given question we have to check which of the following is true of convenience sampling.
The given options are:
It allows researchers to measure the representativeness of a sample. It allows researchers to generalize the data collected to a defined target population.It is commonly used in the later stages of research.It is a nonprobability sampling method.It is a time-consuming process if there is a large number of respondents.Convenience sampling is a non-probability sampling process-based sampling technique.
When sampling vast amounts of data, it is helpful and takes less time.
It prevents the researchers from determining the representativeness and is not appropriate for earlier stages of research.
Additionally, it prevents researchers from extrapolating the data they have acquired.
Hence, convenience sampling is commonly used in the later stages of research and it is a time-consuming process if there is a large number of respondents. So the option 3 ad 5 is correct.
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What is the value of this expression?
3³ +5x4-(8-5x2)² = ?
Answer: the answer is 19
can yall solve this with solution thankss.
Answer:
first blank: 13
2nd/3rd blank:14/13
4th blank: 13
5th/6th blank: 14/13
7th blank: 42
Step-by-step explanation:
From the first line to the second you need to add
4/7x + 5/14x
Times 2 on the top and bottom of 4/7 to make it be 8/14.
then you can add:
8/14x + 5/14x
Keep the 14 on the bottom, add the tops. 8+5 is 13
= 13/14x
The 13 on top is the first fill in.
To solve for x you can multiply by the reciprocal of 13/14 (just flip it over)
14/13 is the blank/blank on both sides of the equal sign in front of the parenthesis.
The blank over 14 is 13, the same as the first answer.
The 14/13 × 13/14x
just leaves x on the left in the last line of the equation.
On the right, you have
14/13 × 39
You can divide the 39/13 to get 3. The problem becomes
14 × 3
= 42 This is the last fill in.
13/14 x = 39
14/13(13/14x)=14/13(39)
x = 42
the length of rectangle is 15 cm and it breadth is 10cm find the ratio of length and breadth of the rectangle
Answer:
3 : 2
Step-by-step explanation:
the ratio of
length : breadth
= 15 : 10 ( divide both parts by 5 )
= 3 : 2
Can someone help me with this DeltaMath question? I have no idea what to do but I've gotten this far...
The proof as explained below shows that ΔBAD ≅ ΔCDA by the side-side-side (SSS) congruence theorem.
What is the Side-side side (SSS) Congruence Theorem?The Side-side-side (SSS) congruence theorem states that two triangles are congruent to each other if the three sides of one triangle are equal or congruent to the corresponding three sides of the other.
The proof that shows triangles BAD and CDA are congruent is explained below.
Statement Reason
1. BD ≅ AC; BA ≅ DC 1. Given
2. AD ≅ AD 2. Reflexive property
3. ΔBAD ≅ ΔCDA 3. Side-side-side (SSS)
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How do you regroup ones?.
When one column adds up to more than 10, you regroup 10 Ones into 1 Tens
Regrouping is done by making groups of tens during operations like subtraction and addition. Regrouping means rearranging numbers into groups by place value to make it easier to carry out operations. This process is called regrouping because you're rearranging numbers into place value to carry out the process.
To regroup means to rearrange groups in place value to carry out an operation.
When one column adds up to more than 10, you regroup 10 Ones into 1 Tens. Don't put the carry over in the answer area at the bottom of the column. Write it at the top. After we carry the 1, we add all the Tens place digits, including the carry.
Therefore, when one column adds up to more than 10, you regroup 10 Ones into 1 Tens
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find an equation of the tangent line to the curve at the point corresponding to the given value of the parameter x=cos theta + sin 2 theta, y= sin theta + cos 2 thet. theta=0
The equation of the tangent line to the curve at the point is 2y = x + 1.
Here we have to find the equation of the tangent line to the curve at the point.
The given data:
x = cosФ + sin 2Ф
y = sinФ + cos 2Ф
Now let us differentiate it, as we have to find the tangent of the curve.
dx/ dФ = -sinФ + 2 cos 2Ф
dy/ dФ = cosФ - 2sin2Ф
So we get dx/dy as:
dy/ dx = cosФ - 2 sin 2Ф / -sinФ + 2cos 2Ф
Now as it is given that Ф = 0. So putting Ф as 0 we have:
dy/ dx = cos0° - 2 sin 0° / -sin0° + 2 cos 0°
= 1 / 2
Now we get the value of x and y by putting Ф as 0°
x = cos0° + sin 0°
= 1
y = sin 0° + cos 0°
= 1
So we get the equation:
y - 1 = 1/2( x-1)
2(y - 1 ) = x - 1
2y - 2 = x -1
2y = x + 1
Therefore the equation is 2y = x + 1.
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in a jar there are 600 red balls and 400 green balls and an unknown amount of yellow balls if probability is 1/5 for green how many yellow balls are in the jar?
The amount of yellow balls in the jar is 1000, with the probability.
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1. Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A value between 0 and 1 represents the likelihood of an event, with 0 basically denoting impossibility and 1 generally indicating certainty.
in a jar there are 600 red balls and 400 green balls and an unknown amount of yellow balls.
probability is 1/5 for green ball.
The Total number of balls 1000+x
So given the probability of green is 400/1000+x = 1/5
1000+x = 5*400 = 2000
x = 2000-1000=1000
Hence the amount of yellow balls in the jar is 1000.
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which two features of igneoous rocks are determined by their cooling rate
It is crystal size and rock texture.
Volcanic rocks are another name for extrusive rocks. According to their texture and mineral or chemical makeup, igneous rocks are categorized. The rate of cooling affects the texture of the rock. The crystals grow larger as the rock cools more slowly.
Thanks,
As the last answer for today.
Happy Thanksgiving
- Eddie E.
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Q
M
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R
P
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If NP and QS are parallel lines and mZSRO = 134°, what is m/QRO?
Answer:
m∠QRO = 46°
Step-by-step explanation:
In the question, we are told that m∠SRO = 134°, and we are asked to calculate m∠QRO.
In order to do that, we have to realise that since angles SRO and QRO are on a straight line, their measures add up to 180°. Therefore:
∠SRO + ∠QRO = 180°
⇒ 134° + ∠QRO = 180°
⇒ ∠QRO = 180° - 134°
⇒ ∠QRO = 46°
Therefore, m∠QRO = 46°.
at the various activity levels shown, harper company incurred the following costs. units sold 20 40 60 80 100 a. rental cost per unit of merchandise sold $36.00 $18.00 $12.00 $9.00 b. Total phone expense80.00 100.00 120.00 140.00 c. cost per unit of supplies 1.001.00 1.00 1.00 d. Total insurace cost 480.00 480.00 480.00 480.00 e. Total salary cost 1,200.00 1,600.00 2,000.00 2,400.00 f. Total cost of goods sold 1,800.00 3,600.00 5,400.00 7,200.00 g. Depreciation cost per unit 240.00 120.00 800.00 60.00 h. Total rent cost 3,200.00 3,200.00 3,200.00 3,200.00 i. Total cost of shopping bags 2.00 4.00 6.00 8.00 j. Cost per unit of merchandise sold 90.00 90.00 90.00 90.00
a. Mixed cost - the cost per unit decreases with increase in units sold.
b. Variable cost - the expense increases with increase in units sold
c. Fixed cost - expense is constant with increase in units sold.
d. Fixed cost - cost is constant with increase in units sold.
e. Variable cost - cost increases with increase in units sold
f. Variable cost - cost increases with increase in units sold
g. Mixed cost- depreciation cost decreases with increase in units sold.
h. Fixed cost - cost is constant with increase in units sold.
i. Variable cost - cost increases with increase in units sold
j. Fixed cost- cost is constant with increase in units sold.
According to the given question;
Mixed costs: That has a high initial cost generally because they contain some fixed components and change in proportion because they contain some variable components.
Fixed costs: Costs that are consistent or constant are known as fixed costs.
Variable costs: These alter as the quantity of units changes.
(a) The price is fixed. This is because even while the price per unit fluctuates, the overall price does not. For instance, the total cost for 20 units is $720 ($36 x 20 units), and the total cost for 100 units is $720 ($7.2 x 100 units).
(b) The overall cost of the phone is mixed. On the basis of unit cost fluctuations, it may be claimed that the first 20 units have a fixed component and that subsequent 20 units have an equal distribution of fixed and variable costs.
(c) The price is vary. Supply costs are fixed regardless of quantity changes, and variable cost per unit is also fixed regardless of quantity changes that affect changes in the aggregate but not in the individual.
(d) The fact that the overall insurance cost remains constant as the quantity changes suggests that it is a fixed cost.
(e) Total salary expenses are mixed costs since they have a higher initial cost due to the inclusion of some fixed costs and ratio changes as a result of the addition of variable costs.
(f) Variable expenses, which rise in line with an increase in quantity, make up the entire cost of items sold.
(g) Depreciation is a fixed cost because, despite the fact that unit cost reduces as quantity increases, total cost remains constant.
(h) The total rent expense is constant despite changes in quantity, indicating that it is a fixed expense.
(i) The price of shopping bags is variable since the price and total fluctuate when the amount changes.
(j) Since individual unit expenses are constant per unit, the cost per unit of goods sold is variable.
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The write question is given below:
What is 5 1/4÷1 5/9
I will give Big Brain to the guy who answers. I'm also give 30 points.
Answer: The answer is 3 3/8
Answer:
[tex]3\frac{3}{8}[/tex]
Step-by-step explanation:
turn into improper fraction first
5 1/4 ÷ 1 5/9
21/4 ÷ 14/9
now use the skip flip multiply method i told you about before
21/4 × 9/14
189/56
3 21/56
3 3/8
hopes this helps please mark brainliest
What is the geometric means between 5 and 125?.
The geometric mean between 5 and 125 will be 25.
What is geometric mean?
The sequence where each word is varied by another by a common ratio is known as a geometric progression or geometric sequence. When we add a constant (which is not zero) to the term before it, the sequence's subsequent term is created. The following symbols stand in for it: a, ar, ar2, ar3, ar4, etc.
The Geometric Mean (GM) is the average value or mean that, in mathematics, represents the centre tendency of a group of numbers by calculating the product of their values. In essence, we multiply the numbers collectively and take the nth root of the resulting multiplied numbers, where n is the total number of data values.
The given number is 5, 125.
So the Geometric Mean willl be (5*125)[tex].^{1/2}[/tex]
So [tex](625)^{1/2}[/tex]
= 25
Hence, the geometric mean between 5 and 125 will be 25.
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The graph of a quadratic function has the y-intercept A (0, 7.5), anf the zeros of the function are -10 and 3. Write the equation of the function.
The equation of the function is f(x) = (-1/4)(x+10)(x-3)
The y intercept of the function = A(0, 7.5)
The zeros of the function are
-10 and 3
The equation in intercept form
y = a(x - p)(x - q)
Where the value of p = -10
The value of q = 3
Then the function will be
f(x) = a(x + 10)(x - 3)
The point A = (0, 7.5)
Substitute the values of x and y in the equation
7.5 = a(0+10)(0-3)
Do the arithmetic operation
7.5 = a(10)(-3)
Multiply the terms
7.5 = -30a
a = 7.5 / -30
Divide the terms
a = -1/4
Hence, the equation of the function is f(x) = (-1/4)(x+10)(x-3)
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