Answers
\(2 \frac{7}{9} \times 2 \frac{1}{5} = \\ \)
\( \frac{(2 \times 9 + 7)}{9} \times \frac{(2 \times 5 + 1)}{5} = \\ \)
\( \frac{18 + 7}{9} \times \frac{10 + 1}{5} = \\ \)
\( \frac{25}{9} \times \frac{11}{5} = \\ \)
\( \frac{275}{45} \\ \)
\( \begin{gathered}\\ \large\dag \: \: \sf{ Given :- } \\ \end{gathered}\)
\( \begin{gathered}\\ \large \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \leadsto\sf{ 2 \frac{7}{9} \times 2 \frac{1}{5} } \\ \end{gathered}\)
\( \begin{gathered}\\ \large\dag \: \: \sf{ Solution :- } \\ \end{gathered}\)
\( \begin{gathered}\\ \large \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \leadsto\sf{ \frac{\cancel{25}}{9} \times \frac{11}{\cancel{5}} } \\ \end{gathered}\)
\( \begin{gathered}\\ \large \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \leadsto\sf{ \frac{{55}}{9} } \\ \end{gathered}\)
\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\\ \large\leadsto\frak \red{ \frac{55}{9} } \\ \end{gathered}\)
--------------------- OR ----------------\( \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \begin{gathered}\\ \large\leadsto\frak \red{ 6\frac{1}{9} } \\ \end{gathered}\)
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Related Questions
Gillian can spend up to $300 buying both cotton shirts and wool shirts for her club.
The cotton shirts cost $15 each and the wool shirts cost $20 each. The number of
wool shirts Gillian will buy will be at least 3, and no more than half the number of
cotton shirts she buys.
The graph shows the feasible region, where x represents the number of cotton shirts
and y represents the number of wool shirts.
16
15
14
13
12
10
9
81
71
6
Answers
Total money Gillian spend on both cotton shirts and wool shirts = $300
Cost of per cotton shirt = $15
Cost of per wool shirt = $ 20
According to question,
The number of wool shirts Gillian will buy will be at least 3, but less than half the number of cotton shirts she buys.
So, by option when we use the data of Option 'A'
Number of cotton shirts =13
Cost incurred on cotton shirt is given by
13×15=195
Number of wool shirts = 4
Cost incurred on wool shirt is given by
4×20=80
Total cost incurred on both the shirts is given by 195+80=275
If we use option 'B' we spend only $230
If we use option 'C' , it does not satisfy the question as it is mentioned in the question that number of wool shirt must be less than half of number of cotton shirt
If we use option 'D' , we spend $325 which is much higher than $300
Therefore, option A is the correct answer.
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A first order linear differential equation is one that can be put in the form
dy/dx+P(x)y = Q(x) where
P and Q are continuous functions on a given interval. This form is called the standard form and is readily solved by multiplying both sides of the equation by an integrating factor
Answers
That's correct!
How to solve Linear Differential Equations?
Multiplying both sides of the equation by an integrating factor is a technique commonly used to solve first-order linear differential equations of the form:
\(dy/dx\) + P(x)y = Q(x)
where P(x) and Q(x) are continuous functions on a given interval. The integrating factor is defined as:
μ(x) =\(e^{(\int {P(x)} \, dx}\)
where the integral is taken with respect to x. Multiplying both sides of the equation by μ(x) gives:
μ(x)\(dy/dx\) + μ(x)P(x)y = μ(x)Q(x)
The left-hand side can then be rewritten using the product rule of differentiation as:
d/dx [μ(x)y] = μ(x)\(dy/dx\) + μ(x)P(x)y
Substituting this back into the equation gives:
d/dx [μ(x)y] = μ(x)Q(x)
Integrating both sides with respect to x gives:
μ(x)y = ∫μ(x)Q(x)dx + C
where C is the constant of integration. Finally, solving for y gives:
y = [∫μ(x)Q(x)dx + C]/μ(x)
which is the general solution to the differential equation.
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Prove whether the quadrilateral is a parallelogram using the Distance & Slope Formulas D(-5, -6), E(5, 2), F(4, -4), G(-6, -12)
Answers
To prove that quadrilateral is a parallelogram using the Distance & Slope Formulas D(-5, -6), E(5, 2), F(4, -4), G(-6, -12), follow these steps
:Step 1: Plot the points in a coordinate plane: (D) (-5,-6), (E) (5,2), (F) (4,-4), (G) (-6,-12)
Step 2: Find the distance of all sides using distance formula.
Distance Formula =sqrt((x2 - x1)² + (y2 - y1)²)DE
= sqrt((5 - (-5))² + (2 - (-6))²)
=sqrt(10²+8²)
=sqrt(164)
= 2 sqrt(41)EF
= sqrt((4 - 5)² + (-4 - 2)²)
=sqrt((-1)²+(-6)²)
=sqrt(37)FG
= sqrt((-6 - 4)² + (-12 - (-4))²)
=sqrt((-10)²+(-8)²)
= 2sqrt(41)DG
= sqrt((-6 - (-5))² + (-12 - (-6))²)
=sqrt((-1)²+(-6)²)
=sqrt(37)
Since the opposite sides are equal, we can say that DE = FG and DG = EF.
Step 3: Find the slope of all sides using slope formula.
Slope Formula = (y2-y1)/(x2-x1)DE
= (2-(-6))/(5-(-5))
=8/10=4/5FG
= (-12-(-4))/(-6-4)=-8/-10=4/5DG = (-6-(-12))/(-5-(-6))=6/1=6EF = (-4-2)/(4-5)=-6/-1=6
Since opposite sides have the same slope, DE // FG and DG // EF. Therefore, we can conclude that the quadrilateral is a parallelogram.In conclusion, the quadrilateral is a parallelogram because opposite sides are parallel.
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Use the information provided below to answer the following questions. Where applicable, use the present value tables provided in APPENDICES 1 and 2 that appear after QUESTION 5. 5.1 Calculate the Payback Period of both machines (expressed in years, months and days.) 5.2 Which machine should be chosen on the basis of payback period only? Why? 5.3 Calculate the Accounting Rate of Return (on average investment) of Machine A (expressed to two decimal places). 5.4 Calculate the Net Present Value of each machine (amounts expressed to the nearest Rand.) 5.5 Calculate the Internal Rate of Return of Machine B (expressed to two decimal places) using interpolation. INFORMATION Niterra Limited intends purchasing a new machine and has a choice between the following two machines: The company estimates that it's cost of capital is 12%. Depreciation is estimated at R 80000 per year.
Answers
To analyze the investment decision between Machine A and Machine B, various financial metrics are calculated. The payback period, accounting rate of return, net present value, and internal rate of return are determined. Based on these calculations, the suitable machine is chosen, considering the payback period, cost of capital, and other factors.
The payback period of both machines is calculated by determining the time required to recover the initial investment. It is expressed in years, months, and days. The machine with the shorter payback period indicates a faster return on investment.
Using the payback period as the sole criterion for decision-making, the machine with the shorter payback period should be chosen. However, it's important to note that the payback period does not consider the time value of money or the profitability beyond the payback period.
The accounting rate of return on average investment for Machine A is calculated by dividing the average annual profit by the average investment cost, expressed to two decimal places. This metric provides an indication of the profitability of the investment.
The net present value (NPV) of each machine is calculated by discounting the expected cash flows using the company's cost of capital (12%). NPV represents the present value of the expected cash inflows and outflows associated with the investment. The machine with the higher NPV indicates a higher value addition to the company.
The internal rate of return (IRR) of Machine B is determined using interpolation. IRR is the discount rate that equates the present value of expected cash flows to the initial investment. It indicates the profitability and return on investment of Machine B.
Considering all these factors and the company's cost of capital, a comprehensive evaluation can be made to determine the most suitable machine for investment.
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A painter charges $12 per hour plus $50 for every job. If he made $194 on a job, how many hours did he work?
Answers
Answer:
12
Step-by-step explanation:
194-50=144
144/12=12
Answer:
12 hours
Step-by-step explanation:
We can start with an equation: 12x+50 = 194 (x being number of hours)
solving gives 12x = 144
x = 144/12
x = 12
AC is a diameter of OE, the area of the
circle is 289 units2, and AB = 16 units.
Find BC and mBC.
B
A
C
E. plssss hurry !!
Answers
The measure of arc BC is 720 times the measure of angle BAC.
Given that AC is the diameter of the circle and AB is a chord with a length of 16 units, we need to find BC (the length of the other chord) and mBC (the measure of angle BAC).
To find BC, we can use the property of chords in a circle. If two chords intersect within a circle, the products of their segments are equal. In this case, since AB = BC = 16 units, the product of their segments will be:
AB * BC = AC * CE
16 * BC = 2 * r * CE (AC is the diameter, so its length is twice the radius)
Since the area of the circle is given as 289 square units, we can find the radius (r) using the formula for the area of a circle:
Area = π * r^2
289 = π * r^2
r^2 = 289 / π
r = √(289 / π)
Now, we can substitute the known values into the equation for the product of the segments:
16 * BC = 2 * √(289 / π) * CEBC = (√(289 / π) * CE) / 8
To find mBC, we can use the properties of angles in a circle. The angle subtended by an arc at the center of a circle is double the angle subtended by the same arc at any point on the circumference. Since AC is a diameter, angle BAC is a right angle. Therefore, mBC will be half the measure of the arc BC.
mBC = 0.5 * m(arc BC)
To find the measure of the arc BC, we need to find its length. The length of an arc is determined by the ratio of the arc angle to the total angle of the circle (360 degrees). Since mBC is half the arc angle, we can write:
arc BC = (mBC / 0.5) * 360
arc BC = 720 * mBC
Therefore, the length of the arc BC equals 720 times the length of the angle BAC.
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5. 25 it takes gallons of paint to paint a fence. How much paint is needed for 3/5 of the fence?
Answers
Answer:
If 2.5 gallons of paint are needed for the entire fence, then for 1/5 of the fence we need:
2.5 gallons / 5 = 0.5 gallons
To find how much paint is needed for 3/5 of the fence, we can multiply 0.5 gallons by 3:
0.5 gallons * 3 = 1.5 gallons
Therefore, 1.5 gallons of paint are needed for 3/5 of the fence.
Answer:
15 gallons
Step-by-step explanation:
1/5 of the fence would be 5 gallons, because 25/5 is 5, so to find how much paint for 3/5, we have to multiply 3 and 5 which gives us 15. We need 15 gallons of paint to paint 3/5 of the fence
Hope it helped!
pls help ill give brainliest and 5 stars
Answers
Answer:
-3.75
-0.55
-0.5
-0.3
-0.2
Step-by-step explanation:
-3% = -0.3
-1/2 = -0.5
-1/5 = -0.2
-3.75
-0.55
Name all sets to which each value belongs
Answers
\(\\ \sf\longmapsto -\sqrt{64}\)
\(\\ \sf\longmapsto -\sqrt{8\times 8}\)
\(\\ \sf\longmapsto -\sqrt{8^2}\)
\(\\ \sf\longmapsto 8i\)
It belongs to set of complex numbers
What is ""statistical conclusion validity""? what was the main threat to statistical conclusion validity discussed in class?
Answers
Statistical conclusion validity is the extent to which inferences and conclusions drawn from statistical data are valid.
The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not.
Statistical conclusion validity is a measure of how valid the conclusions drawn from statistical data are. This is important because it allows us to draw valid inferences from the data. The main threat to statistical conclusion validity discussed in class is the potential for spurious correlations. This is when two variables appear to be related when in fact they are not. For example, a study may show that there is a correlation between ice cream sales and crime rate, when in fact it is merely a coincidence that both variables increase during the summer months. By controlling for other variables and using appropriate statistical tests, it is possible to identify and avoid spurious correlations.
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PLSS HELP ME ASAP!! I WILL GIVE YOU BRAINLYEST!
A tree casts a 9-foot shadow while a 5-foot
pole casts a 2h foot shadow. How tall is the
tree?
Answers
the answer tho this is that the tree is 14ft
Answer:
22.5
Step-by-step explanation:
20 ft for an 8 foot shadow but since you need 1 more foot
take half of 5 (2.5) and you get 22.5
A survey asked employees and customers whether they preferred the store's old hours or new hours.
The results of the survey are shown in the two-way relative frequency table.
What percent of the respondents preferred the new hours?
Answers
The percent of the respondents that preferred the new hours is equal to 39%.
What is a frequency table?In Mathematics and Statistics, a frequency table can be used for the graphical representation of the frequencies or relative frequencies that are associated with a categorical variable or data set.
Based on the information provided about this survey with respect to employees and customers shown in a two-way relative frequency table, the percentage of the respondents that preferred the new hours can be calculated as follows;
Percent new hours = (0.16 + 0.23) × 100
Percent new hours = 0.39 × 100
Percent new hours = 39%.
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"Write an expression for the retail price for a pair of dress pants." I need the answer, can anyone help??
Answers
The expression is x = p + 0.4p. The solution has been obtained by using linear equation.
What is a linear equation?
A linear equation is the one with the largest degree of one. This proves that a linear equation with an exponent greater than one has no variables. On the graph, such an equation results in a straight line.
Let the retail price for a pair of dress pants be 'x'.
We are given that Abdul buys dress pants from a clothing company for p dollars and sells each pair of pants in his men’s clothing shop at a 40% markup.
So, we get the expression as
x = p + 0.4p
Hence, the expression is x = p + 0.4p.
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Question: 1. Abdul buys dress pants from a clothing company for p dollars. He then sells each pair of pants in his men’s clothing shop at a 40% markup.
Write an expression for the retail price of a pair of dress pants.
What are two numbers that multiply to -28 and add to 3?
Answers
Answer:
------------
7 and -4toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
Answers
The inequality that correctly describes the number of ounces of water, w, that tom drinks each day is d. 64<w.
Amount of water that the bottle can hold = 32 ounces
Bottles of water consumed = 2
A mathematical comparison and representation of the connection between two expressions is known as an inequality. It can be regarded as a generalisation of an equation and is denoted by signs such as <, > and =.
Tom consumes more than two complete bottles of water every day. Since each bottle can carry up to 32 ounces of water, we can describe Tom's daily water consumption as -
= w > 2 × 32
Therefore,
Simplifying the right side of the inequality:
w > 64
Complete Question:
Toms water bottle can hold up to 32 ounces of water. each day he drinks more than 2 full bottles of water. which inequality correctly describes the number of ounces of water, w, that tom drinks each day?
a. w>2
b. 32<w
c. w = 64
d. 64<w
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Sylvia receives a net pay of $390.45 biweekly. She had $130 withheld from her pay period. What is her annual gross salary
Answers
Since Sylvia receives a net pay of $390.45 biweekly, her annual gross salary is equal to $13,531.7.
What is annual gross salary?In Mathematics, the annual gross salary of an employee simply refers to the total amount of money that is being paid to him or her over a period of fifty two (52) weeks without any revenue.
How to calculate Sylvia's annual gross salary?First of all, we would calculate Sylvia's gross paycheck as follows:
Gross paycheck = $390.45 + $130
Gross paycheck = $520.45
Since Sylvia is paid biweekly, her annual gross salary can be calculated as follows:
Annual gross salary = 52/2 × $520.45
Annual gross salary = 26 × $520.45
Annual gross salary = $13,531.7
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E. Sketch the graph of the following functions. Make a table of values.
Answers
The table for each function is presented below and its graphs are attached in this answer.
Function 1
x 3x-5
-2 -11
-1 -8
0 -5
1 -2
2 1
Function 2
x -x+3
-2 5
-1 4
0 3
1 2
2 1
Function 3
x x²-2x+1
-2 9
-1 4
0 1
1 0
2 1
Function 4
x -3x²+1
-2 -11
-1 -2
0 1
1 -2
2 -11
Linear Function
An equation can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=7x+2. Where:
a= the slope. It can be calculated for \(a=\frac{\Delta y}{\Delta x}\) .
b= the constant term that represents the y-intercept.
For solving this question, you should plot the points from the given equation and after that draw a line.
What is a Quadratic Function?The quadratic function can represent a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
Function 1First column represents the value of x and the second column represents the value of the function for each value of x
x 3x-5
-2 -11
-1 -8
0 -5
1 -2
2 1
See the figure graph1.
Function 2First column represents the value of x and the second column represents the value of the function for each value of x
x -x+3
-2 5
-1 4
0 3
1 2
2 1
See the figure graph2.
Function 3First column represents the value of x and the second column represents the value of the function for each value of x
x x²-2x+1
-2 9
-1 4
0 1
1 0
2 1
See the figure graph3.
Function 4First column represents the value of x and the second column represents the value of the function for each value of x
x -3x²+1
-2 -11
-1 -2
0 1
1 -2
2 -11
See the figure graph4.
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4x − 5y = 25
Make a table of values. ASAP
Answers
Answer:
Given Below.explanation:
\(4x - 5y = 25\)
\(-5y = 25 - 4x\)
\(y = \frac{25-4x}{-5}\)
\(y = \frac{4x- 25}{5}\)
put x values in the function in order to find y values.
___x___ ___y___
0 | -5
1 | -4.2
2 | -3.4
3 | -2.6
4 | -1.8
5 | -1
6 | -0.2
plzzzzz help!! 20 points
Eric's dog gets 34.7 grams of protein in each meal. How much protein does the dog get in 4 meals?
Answers
Answer:
242.9 grams
Step-by-step explanation:
Erics dog get 34.7 grams each meal, When He gets 4x the amount all you are doing is 34.7x4 which equals 138.8 grams
Autumn went shopping for a new pair of sneakers. The listed price of the pair of sneakers was $22, but the price with tax came to $23.98. Find the percent sales tax.
Answers
Answer: 9%
Step-by-step explanation:
In a blueprint, each square has a side length of 1/4 inch. Ceramic tile costs $5 per square foot. How much would it cost to tile the bathroom? Carpet costs $18 per square yard. How much would it cost to carpet the bedroom and living room?
(as you can see, I already got the answer for a. I just need the answer for b.)
Answers
b.
Bedroom area
Lenght = 5 squares
= 5 × 1/4 inchi
= 5/4 inchi
Width = 4 squares
= 4 × 1/4 inchi
= 1 inchi
Large area = 5/4 × 1 inchi
= 5/4 inchi
Living room
Lenght = 7 squares
= 7 × 1/4 inchi
= 7/4 inchi
Width = 4 squares
= 4 × 1/4 inchi
= 1 inchi
Large area = 7/4 × 1 inchi
= 7/4 inchi
Total Area
Bedroom area + Living room area
= 5/4 + 7/4
= (5+7)/4 inchi
= 12/4 inchi
= 3 inchi
1 square yard = 1296 square inches
so 1 square inches = 1/1296 square yard
3 inchi = 3×1/1296
= 3/1296
= 1/432
Cost = 1/432 × $18
= $1/24
It would cost $1/24 to carpet the bedroom and living room.
How to find the mode.
Answers
Step-by-step explanation: The mode is the number that appears most frequently in a data set. If no Number repeats at all, then there is no mode. A data set can also have multiple modes if different numbers repeat the same amount of times.
(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?
Answers
Answer:
\(\frac{1}{24}\)
Step-by-step explanation:
24 is a common multiple so ill just use that as a denominator:
3/8 = 9/24
1/3 = 8/24
1/4 = 6/24
so then adding those up:
\(\frac{9}{24}\) + \(\frac{8}{24}\) + \(\frac{6}{24}\) = \(\frac{23}{24}\)
then whats left is 1/24 left to read, which cant be simplified so \(\frac{1}{24}\)
Answer:
\(\frac{1}{24}\)
Step-by-step explanation:
Let x be the part of the book he read on fourth day.
\(\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\)
\(LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\\)
\(\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}\)
\(On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.\)
NEED HELP ASAP! Two triangles are congruent. The ratio between corresponding sides is 4:1. The small rectangle has the dimensions 12 cm * 15 cm. What are the dimensions of the large rectangle?
Answers
Answer:
The dimensions of the larger triangle are 48 cm * 15 cm.
Plzz what the answer I’m stuck
Answers
Answer:
the answer to your question is 576 square feet
Step-by-step explanation:
Step 1: 96 ÷ 4 = 24
Step 2: 24×24 =576
Nina worked 24 hours and was paid $12.00 an hour. How much was Nina's GROSS PAY
Answers
$12 x 24 = $288
= Find the slope of a line that goes through the (-3,2) and (1,5)
PLz helpp Im confused on this
Answers
Answer:
-2/3 (fraction)
Step-by-step explanation:
Answer:
The slope is \(\frac{3}{4}\).
Step-by-step explanation:
\(m=\frac{rise}{run}=\frac{5-2}{1+3}=\frac{3}{4}\)
Hope this helps.
It has been conjectured that four-fifths of all students are right-handed. Data are available from a large sample of introductory statistics students at a community college, who took a survey that assessed if they were right-handed. Of the 1,125 students who participated, 873 said they were right-handed while 252 said they were left-handed. Use these sample data to conduct a significance test of the conjecture that four-fifths of all students are right-handed. Report the hypotheses, test statistic, and p-value. Include a check of technical conditions. Also indicate your test decision at the a = .05 significance level and summarize your conclusion in context.
Answers
The hypothesis is: There is strong evidence to suggest that the proportion of right-handed students differs significantly from four-fifths.
The test statistic is: z = -3.78
The p-value is less than 0.001
Understanding Hypothesis TestingTo conduct a significance test of the conjecture that four-fifths of all students are right-handed, we will use the sample data to test if the proportion of right-handed students significantly differs from 4/5.
Let's denote:
p = proportion of right-handed students in the population (null hypothesis)
\(\bar{p}\) = proportion of right-handed students in the sample
n = sample size
Hypotheses:
Null Hypothesis (H₀): p = 4/5 (Proportion of right-handed students is 4/5)
Alternative Hypothesis (H₁): p ≠ 4/5 (Proportion of right-handed students is different from 4/5)
Now, we can calculate the test statistic and p-value to evaluate the evidence against the null hypothesis.
First, let's calculate the sample proportion:
\(\bar{p}\) = 873 / (873 + 252) = 0.775
Next, we need to check the technical conditions to ensure that the sampling distribution of the sample proportion is approximately normal. The conditions are:
1. Random Sample: Assuming that the sample was selected randomly from the population.
2. Independence: The number of students who are right-handed and left-handed should be less than 10% of the total population.
In this case, we assume that the sample was selected randomly, and the number of students who are left-handed (252) and right-handed (873) is less than 10% of the total population.
Now, we can calculate the test statistic (z-score) using the sample proportion and the null proportion:
z = \(\frac{\bar{p} - p}{\sqrt{p * (1 - p)) / n}}\)
= \(\frac{0.775 - 4/5}{\sqrt{4/5 * (1 - 4/5)) / 1125}}\)
= -3.78
To find the p-value, we will use the standard normal distribution table or a statistical calculator. Since the alternative hypothesis is two-tailed (p ≠ 4/5), we will find the area in both tails.
Using a standard normal distribution table or a statistical calculator, we find that the p-value is very small, approximately less than 0.001.
Since the p-value (less than 0.001) is less than the significance level (α = 0.05), we reject the null hypothesis.
Conclusion: Based on the sample data, there is strong evidence to suggest that the proportion of right-handed students differs significantly from four-fifths.
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What equations should I use or how should i find the correct
answer for the incorrect boxes diplayed?
Jake's Gems mines and produces diamonds, rubies, and other gems. The gems are produced by way of the Mining and Cutting activitios. These production activities are supported by the Maintenance and 5 e
Answers
To find the correct equations for the missing boxes, we need more information about the relationships between the different activities in Jake's Gems. However, based on the given context, we can make some assumptions and suggest potential equations:
Mining and Cutting activities produce diamonds, rubies, and other gems. Let's assume that the production of each gem type is represented by a variable: D (diamonds), R (rubies), and G (other gems).
Maintenance supports the Mining and Cutting activities. We can assume that the maintenance effort required for each activity is represented by the variable M (maintenance).Since the question mentions five missing boxes, we can suggest additional equations to represent relationships between these variables, such as:
Mining + Cutting = D + R + G (the sum of all gem types produced equals the total production from Mining and Cutting activities).
Maintenance = M (maintenance effort required).
The relationships between these variables might include equations like D = f(M), R = g(M), G = h(M), where f, g, and h represent some functions or formulas that relate gem production to maintenance effort.
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Suppose the cost of an item is c. First, the cost is discounted by 30%. Then sales tax of 6.5% is added to the sales price. Write an algebraic expression for the final cost of the item using the variable c.
Answers
The Algebraic expression for the final cost of the item using the variable c is 0.7455c
The cost of the item is c
Algebraic expression after discounting the cost by 30%
c - 30%of c
c- 0.3c
0.7c
Now, Algebraic expression after the application of 6.5% of sales tax
0.7c + 6.5%of 0.7c
0.7c +0.065(.7c)
0.7c +0.0455c
0.74.55c
Hence, 0.7455c is the algebraic expression for the final cost of the item using the variable c.
The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values.
We learned how to express an unknown number using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables.
Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
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