Answer:
lick on 3 pointing left under the wear
If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can:
decrease the sample size.
increase the confidence level.
increase the sample size.
increase the sample size.
If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can decrease the sample size. So the option a is correct.
If a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, then we have to explain what she can:
decrease the sample size.
increase the confidence level.
increase the sample size.
increase the sample size.
As we know that;
The formula of Margin of Error is;
ME = Z(α)× √σ^2/n
where; ME = margin of error
α = confidence level
z(α) = quantile
σ = standard deviation
n = sample size
So as we can see that Margin of Error is inversely proportion to sample size.
So, if a decision maker wishes to reduce the margin of error associated with a confidence interval estimate for a population mean, she can decrease the sample size. So the option a is correct.
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Questionaire below Image
Question 1
[tex]a=1, r=1/2 \implies S_{\infty}=\frac{1}{1-(1/2)}=\boxed{2}[/tex]
Question 2
[tex]d=10, a_1+5d=52 \implies a_1=2 \\ \\ a_{15}=a_1+14d=2+14(10)=\boxed{142}[/tex]
Data were collected on the number of days per week that members visit a certain fitness center. The values varied from 0 to 7, and a distribution of relative frequencies for the values was created. Let the random variable X represent the number of days per week that a member visits. The mean of X is 3.12. Which of the following statements is the best interpretation of the mean?
The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
The long-run average resulting from repeated sampling of members of the fitness center will approach 3.12 days per week.
How can I define a variable?A variable is a quantity that could alter when used in a mathematical problem or experiment. Normally, a variable is denoted by a single letter. Common generic symbols used for variables include the letters x, y, and z.
What is an example of a variable?Any traits, figure, or amount that can be gauged or counted is referred to as a variable. An alternative name for a variable is a data item. Age, business earnings and expenses, country of birth, capital expenditures, class grades, eye color, and car kind are a few examples of variables.
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What is the complete factorization of the polynomial below?
x³ + 3x2 +9x+27
OA. (x+3)(x+3)(x+3/)
B. (x+3)(x+3)(x-3/)
O C. (x-3)(x+3)(x+3/)
O D. (x-3)(x+3)(x-3i)
Answer:
(x - 3 i) (x + 3 i) (x + 3)
Step-by-step explanation:
What is the difference between a function and a power?
A function is a relationship between inputs and outputs, while a power is a mathematical operation that represents repeated multiplication.
In mathematics, a function is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are often represented by equations, which specify the relationship between the inputs and outputs.
A power, on the other hand, is a mathematical operation that represents repeated multiplication of a number by itself. The number that is being multiplied is called the base, and the number of times it is multiplied is called the exponent. For example, in the power 3⁴, the base is 3 and the exponent is 4, which represents 3 multiplied by itself 4 times, or 333*3.
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URGENT 25 POINTS!
Create an equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven.
Group of answer choices
1.2 to the twenty-first power over 1.3 to the twenty-eighth power
1.3 to the twenty-eighth power over 1.2 to the twenty-first power
1.2 raised to the fourth power over 1.3 cubed
1.3 cubed over 1.2 raised to the fourth power
Answer:
1.3 to the twenty-eighth power over 1.2 to the twenty-first power
Step-by-step explanation:
The equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is 1.3 cubed over 1.2 raised to the fourth power.
To find the equivalent expression, we need to use the rule that x^a / x^b = x^(a-b) for any value of x except 0.
In this case, we have 1.2^3 / 1.3^4 raised to the power of -7. Applying the rule, we get:
(1.2^3 / 1.3^4)^-7 = (1.2^(-4) / 1.3^3)^7
Since the exponent of a number raised to a power is the same as the power, we can rewrite the expression as:
1.2^(-47) / 1.3^(37)
Simplifying, we get:
1.2^(-28) / 1.3^(21)
Which is the same as:
1.3^(21) / 1.2^(28)
This is the same as the expression 1.3 cubed over 1.2 raised to the fourth power. Therefore, the equivalent expression for 1.2 cubed over 1.3 raised to the fourth power all raised to the power of negative seven is 1.3 cubed over 1.2 raised to the fourth power.
use the exponential regression equation that best fits the data ( 10 , 4 ) , ( 12 , 20 ) , ( 13 , 35 ) , and ( 16 , 300 ) to estimate the value of y when x
Although part of your question is missing, you might be referring to this full question: Use the exponential regression equation that best fits the data (10, 4), (12, 20), (13, 35), and (16, 300) to estimate y when x = 15.
The estimated y value at x = 15 is 147.
The exponential regression equation in general has form y = a*b^x.
And from the attached graph, it is shown that:
a ≈ 0.0038
b ≈ 2.0223
So, using the exponential regression calculator, the exponential model created by the data is:
y = a*b^x
y = 0.0038*(2.0223)^x
And when x = 15, thus:
y = 0.0038*(2.0223)^15
y ≈ 147
Hence, the estimated y value at x = 15 is 147.
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Which histogram represents the following data set?
45, 55, 25, 48, 36, 61, 52, 31, 8, 41, 58, 40, 55, 47, 60, 28, 44, 63, 18, 50, 57, 37, 16, 56, 40, 50
The histogram that represents the data-set in this problem is given by the image shown at the end of the answer.
What is an histogram?An histogram is a graph that shows the number of times each element of x was observed.
For this problem, the elements are divided in ranges, hence the histogram will give the number of elements in each range that was observed.
The ranges for this histogram are given as follows:
0 to 14.14 to 28.28 to 42.42 to 56.56 to 70.The number of elements in each range is given as follows:
0 to 14: 1 element, which is of 8.14 to 28: 3 elements, which are of 16, 18 and 25.28 to 42: 7 elements.42 to 56: 8 elements.56 to 70: 8 elements.Meaning that the third histogram, from the top down, is the correct option.
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vwe are standing on the top of a 368 feet tall building and launch a small object upward. the object's vertical position, measured in feet, after t seconds is h ( t )
For the given quadratic function, the highest point that the object reaches is (5, 768).
Since we are given with the quadratic function of h(t)=−16t2+160t+368, where Let a = -16, b = 160, and c = 368, so the vertex for the equation will be :t = -b/2a = -(160)/2(-16) = -160/(-32) = 5, so substituting this value in the equation for the value of t is
h(5) = -16(5)2 + 160(5) + 368 = -400 + 800 + 368 = 768
Here the highest point that the object reaches is (5, 768), which means that at a time of 5 seconds, the object reaches the building after being launched at the height of 768 feet
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We are standing on the top of a 368 feet tall building and launching a small object upward. The object's vertical position, measured in feet, after t seconds is
We are standing on the top of a 1200 feet tall building and launch a small object upward. The object's vertical position, measured in feet, after t seconds is What is the highest point that the object reaches?
use cylindrical coordinates. evaluate x2 dv, e where e is the solid that lies within the cylinder x2 y2
The value of the expression on evaluation is 96π / 5.
Here we have to find the value of the expression.
∫∫∫x² dV
E is indeed the solid that exists inside the cylinder x² + y² = 4 above the surface z =0.
E's precession through into xy-plane is x² + y² ≤4 where r≤2 with Ф[0, 2π].
∫∫∫ x² dV = ∫[tex]\int\limits^2\pi _0 {} \, \int\limits^2_0{} \, \int\limits^3r_0[/tex] r² cos² Фrd dФ
= [tex]\int\limits^2\pi _0 {} \, \int\limits^2_0 \int\limits^3r_z=0 {} \,[/tex]r³ cos²Ф dz dr dФ
= [tex]\int\limits^2\pi _0 {} \, \int\limits^2_0 {} \,[/tex] 3[tex]r^{4}[/tex]cos²Ф dr dФ
= 3 [tex]\int\limits^2\pi _0 {} \,[/tex] 1/2 [tex]2^{5}[/tex]/ 5 ( 1 + cos² Ф )dr dФ
= 48 / 5 [( Ф + 1/2 sin 2Ф)[tex]]^{2\pi } _{0}[/tex]
= 96π / 5
Therefore the value of the expression is 96π/5.
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TIME REMAINING
21:54
The ratios of punch mix to water for several fruit drinks are given.
Punch Mix
Mix
Water
Grape
1 cup
3 cups
Cherry
5 cups
12 cups
Lemon
7 cups
12 cups
Orange
2 cups
3 cups
Which flavor has the smallest ratio of mix to water?
grape
cherry
lemon
orange
Grape flavor has the smallest ratio of mix to water.
What is ratio proportion?
A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division.
Here, we have
The ratios of punch mix to water for several fruit drinks as Grape mix (1 Grape flavor has the smallest ratio of mix to water.
cup to 3 cups), Cherry mix (5 cups to 12 cups), Lemon mix (7 cups to 12 cups), and Orange mix (2 cups to 3 cups).
We have to find which flavor has the smallest ratio of mix to water.
So, we compare all the given proportions by having a common base.
Proportions of grape, cherry, lemon, and orange mixed in water = 1/3, 5/12, 7/12, 2/3
Now let us have a common denominator 12 as LCM of 3 and 12 is 12.
Proportions of grape, cherry, lemon, and orange mixed with water = 1×4/3×4, 5/12, 7/12, 2×4/3×4
Proportions of grape, cherry, lemon, and orange mixed with water = 4/12, 5/12, 7/12, 8/12
Hence, the Grape flavor has the smallest ratio of mix to water.
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need help asap Pre calc.
Center, verticies, co-verticies, foci, and eccentricity of the ellipse, and sketch it's graph
In the ellipse, the center is (-3/2,5/2) semi-major axis is 2√3 and the semi-minor axis is 2.
What is ellipse?
In addition to being drawn outside the ellipse, the directrix of the ellipse is parallel to its latus rectum. There are two directions on the ellipse that are parallel to its principal axis. The ratio of distances between any point on an ellipse and its foci, as well as the directrix of the ellipse, is used to define an ellipse's eccentricity, and it is less than 1.
6x^(2)+2y^(2)+18x-10y+2=0
[tex]\frac{\left(x-\left(-\frac{3}{2}\right)\right)^2}{2^2}+\frac{\left(y-\frac{5}{2}\right)^2}{\left(2\sqrt{3}\right)^2}=1[/tex]
[tex]\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{5}{2}\right),\:a=2,\:b=2\sqrt{3}[/tex]
[tex]\mathrm{Ellipse\:with\:center}\:\left(h,\:k\right)=\left(-\frac{3}{2},\:\frac{5}{2}\right),\:\:b=2\sqrt{3},\:\:a=2[/tex]
Hence, In the ellipse, the center is (-3/2,5/2) semi-major axis is 2√3 and the semi-minor axis is 2.
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if the sum of a set of ten different positive prime numbers is an even number, which of the following prime numbers cannot be in the set? A. 2
B. 3
C. 5
D. 7
E. 11
The prime number that cannot be in the set is A . 2.
Prime number:
In math, prime number is a natural number greater than 1 that is not a product of two smaller natural numbers
Given,
Here we need to find the prime number that is not in the set, if if the sum of a set of ten different positive prime numbers is an even number.
Here we know that, all prime numbers except the first prime number are odd except 2.
And here we assume that the two prime numbers are different,
So, if one of the prime number is 2 which is even, the other prime number would be odd and hence sum of the prime numbers would be odd as sum of an even and an odd number is always odd.
Where as if none of the prime numbers are odd, then both the prime numbers would be odd and hence sum of the prime numbers would be even as sum of two odd numbers is always even.
There the correct option is A. 2.
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types of angles-math maze
i need help with this maze
The types of angles include the supplementary, complementary, adjacent and vertical angles.
What is an angles?An angle is defined as the common point that is being formed when two straight lines meet at a common endpoint.
There are various types of angles that include the following:
Supplementary angle: These are the angles that make up to 180° when added together.Complementary angle: These are the angles that make up to 90° when added together.Adjacent angles: These are the angles that share the common vertex and side.Vertical angles: These are the angles opposite each other when two lines cross.Learn more about angles here:
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Fetzer Company declared a $0.55 per share cash dividend. The company has 480,000 shares authorized, 456,000 shares issued, and 19,200 shares in treasury stock. The journal entry to record the payment of the dividend is:
Debit Common Dividends Payable $ 234,850 ; credit Cash $ 234,850.
What is arithmetic?
Mathematical arithmetic is the study of the properties of the standard operations on numbers, such as addi - tion, subtraction, multiplication, division, exponents, and root extraction. The Peano axioms, developed by the Italian mathematician Giuseppe Peano in the 19th century and still vital to the modern study of mathematical logic, formalised arithmetic. There are only a few ancient artefacts that can be used to date the invention of addition and subtraction. The best-known of these is the disputedly interpreted Ishango bone from africa, which dates to between 20,000 and 18,000 BC.
Main Body:
Debit Common Dividends Payable $100,100; credit Cash $100,100.
= $0.55 * (456,000 shares - 19,000 shares)
= $0.55 *427,000 shares
= $ 234,850
Hence ,debit Common Dividends Payable $ 234,850 ; credit Cash
$ 234,850.
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On December 31, a corporation determines that they have income taxes expense of $20,000, with $15,000 currently due and the remainder is deferred to future years.
Complete the necessary journal entry by selecting the account names from the pull-down menus and entering dollar amounts in the debit and credit columns.
If On December 31, a corporation determines that they have income taxes expense of $20,000, with $15,000 currently due. the journal entry is Debit Income taxes expense $20,000, Credit income taxes payable $15,000 Credit Deferred income tax liability $5,000.
How to prepare the journal entry?Based on the given information the appropriate journal entry to record the transaction is"
Journal entry
Debit Income taxes expense $20,000
Credit income taxes payable $15,000
Credit Deferred income tax liability $5,000
($20,000 -$5,000)
(To record income taxes)
Therefore the entry is Debit Income taxes expense ,Credit income taxes payable and Credit Deferred income tax liability.
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Answer please! Will give 5 star. Need explanation
The greatest common factor for the fraction is 26.
What is fraction?
A fraction represents a district of an entire or, additional typically, any range of equal components. once spoken in everyday English, a fraction describes what number components of an exact size there area unit.
Main body:
According to the question,
fraction = 52/78
to find its common factor , we need to write it in form of multiples of its factors,
52 = 2*2*13
78 = 2*3*13
from this it is clear that both 52, 78 has factor as 2*13
Hence the greatest common factor for the fraction is 26
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a deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of___ goods.
40 pounds of salami are purchased by a deli for its renowned grinder sandwiches. An illustration of an intermediate good is salami.
Given fill-in-the-blank;
A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of___ goods.
The answer for this case is Intermediate.
A deli buys 40 pounds of salami for its famous grinder sandwiches. the salami is an example of Intermediate goods.
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Stephanie baked a cake and cut it
into 15 equal pieces. She put icing
on 9 pieces. Tammy baked the same
size cake and cut her cake into 5
equal pieces. How many pieces of
cake should Tammy put icing on so
that it is equivalent to the amount
of icing on Stephanie's cake?
Answer: 3 pieces
Step-by-step explanation:
This problem can be solved by modeling the problem using equivalent fractions.
We know Stephanie put icing on 9 of her 15 pieces, this gives us a fraction of [tex]\frac{9}{15}[/tex].
Tammy cut her cake in 5 pieces, but we do not know how many were iced, the pieces of iced cake will be our variable, x, so her fraction is [tex]\frac{x}{5}[/tex].
Both of the fractions need to be equivalent so [tex]\frac{9}{15} =\frac{x}{5}[/tex], which can be solved for x = 3 pieces.
How many tissues should the Kimberly Clark Corporation package of Kleenex contain? Researchers determined that 60 tissues is the mean number of tissues used during a cold. Suppose a random sample of 100 Kleenex users yielded the following data on the number of tissues used during a cold: = 52, S = 22. Suppose the alternative you wanted to test was . State the correct rejection region for = 0.05. (hint it is lower tail test)
At tα/2= -1.66, we reject H0.
What is the Null hypothesis?
The null hypothesis is a standard statistical theory that contends there is no statistical relationship or significance between any two sets of observed data and measured phenomena for any given single observed variable.
Data provided
sample size is 100, and
sample mean, 52.0 for x
The standard deviation of the sample, s= 22.0
Average population, = 60.0
Level of significance, = 0.05
Theorem testing
The alternate and the null hypothesis is
H0: u = 60
Ha: u < 60
Crucial component:
value crucial at 0.05
tα/2= -1.66
Region of rejection:
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it takes a boat 3 hours to travel 48 miles downstream and 4 hours to travel 40 miles upstream. What is the speed of the boat in still water?
The speed of the boat in still water is 3 miles per hour
Given that,
A boat travels 40 miles upstream in 4 hours and 48 miles downstream in 3 hours.
To find : The speed of the boat in still water
We use the distance formula. D = r * t
48/3 = 16 mph | Trip 1 |
40/4= 10mph | Trip 2 |
16-10 = 6 mph difference traveling upstream or downstream. Thus the speed of the current is 3 miles per hour.
Therefore, The speed of the boat in still water is 3 miles per hour.
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I need help plssssssss
Answer:
x = √41
Step-by-step explanation:
Given a right trapezoid with bases 10 and 14, and height 5, you want the length of the angled side, x.
Pythagorean theoremThe length x is the hypotenuse of a right triangle with one leg 5 units and the other leg (14 -10) = 4 units. It can be found using the Pythagorean relation:
c² = a² +b²
x² = 5² +4² = 25 +16 = 41
x = √41 . . . . . take the square root
Find the equation of parabola
(i) having focus at (0,-3) its directrix is y = 3.
(ii) having end points of latus rectum (5,10) and (5,10) and which opens towards right.
(iii) having vertex at origin and focus at (0,2)
Answer:
somone in my class is literally a new York rat
Step-by-step explanation:
need help fast will mark brainlist
The rate of change of y with respect to x for a given line is 4/5.
What is the rate of change?
The rate of change is measured by a line's slope. It is frequently used when discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change. This ratio is graphically represented by a line's slope.
The rate of change of y with respect to x for a given linear function is simply the slope expressed as:
dy/dx = (y2 - y1)/(x2 - x1)
Let us take the first 2 coordinates from the graph which are:
(0, 3) and (5, 7)
Thus;
dy/dx = (7 - 3)/(5 - 0)
dy/dx = 4/5
Hence, the rate of change of y with respect to x for a given line is 4/5.
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if you borrow 500 for 6 years at an annual interest rate of 7%, how much will you pay altogther
The total amount that will ba paid altogether is $710.
How to calculate the amount?From the information, the person borrow 500 for 6 years at an annual interest rate of 7%.
It should be noted that interest is calculated as:
= Principal × Rate × Time
= 500 × 7% × 6
= $210
The total amount will be:
= Principal + Interest
= $500 + $210
= $710
The total amount is $710
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let x be a random variable with c.dj. f(x). find the c.d.f. of ax b first for a > 0, then for a < o.
The cumulative distribution function, for
a > 0 is F((x - b)/a) and for a < 0 is 1 - F((x - b)/a).
What is cumulative distribution function?
The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x in probability theory and statistics.
We have to find the c.d.f of ax + b for a > 0 and a < 0.
F(x) = P(X < x)
a>0:
P(aX + b < x) = P(aX < (x - b)) = P(X < (x - b)/a) = F((x - b)/a)
a < 0 :
P(aX + b < x) = P(aX < (x - b)) = P(X > (x - b)/a) = 1 - P(X < (x - b)/a) =
1 - F((x - b)/a).
Hence, the cumulative distribution function, for
a > 0 is F((x - b)/a) and for a < 0 is 1 - F((x - b)/a).
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Can a one-to-one function and its inverse be equal? What must be true about the graph of f for this to happen? Give some examples to support your conclusion.
Yes, it is possible that one-to-one function and its inverse are true. If f(f(x)) = x then function and its inverse coincide.
What are one-to-one function and inverse of function ?If each x-value corresponds to exactly one y-value, the function is said to be one-to-one. Inverse function graphs are reflections of the y = x line. This indicates that there can be only one y-value for each x-value. One-to-one functions are those that fit this description.
Inverse of function is represented by [tex]f^{-1} (x)[/tex].
Test to check inverse function: If and only if no horizontal line intersects the graph of f at more than one location, then the function f is one-to-one and possesses an inverse function.
Example: f(x) = 5-x
f(f(x))= 5- (5-x) = x
So above function is one to one and inverse of itself.
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Which equation can be used to find V the volume of the cylinder in cubic inches?; What is the dimensional formula of cylinder?; Which equation can be used to find V the volume of the silo in cubic meters?; Which equation can be used to find the surface area of the cylinder?
The equation of the volume of the cylinder is V = A× h where a is base area and h is height.
Given that,
We have to find the equation of the volume of the cylinder.
We know that,
Given that a cylinder and a prism have similar shapes, but a cylinder differs from a prism in that it has a curved side face, we can determine a cylinder's volume using the same formula. We are aware that the formula, which is used to determine a prism's area,
Where V = A× h
A = the base's area
height is h.
Using the formula above, the volume (V) of a right circular cylinder is,
V = πr²h
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A mining company owns two mines. These mines produce an ore that can be graded into two classes: regular grade and low grade. The company must produce at least 350 tons of regular-grade and 610 tons of low-grade ore per week. The first mine produces 5 tons of regular-grade and 17 tons of low-grade ore per hour. The second mine produces 20 tons of regular-grade and 10 tons of low-grade ore per hour. The operating cost of the first mine is $7000 per hour, and the operating cost of the second mine is $29,000 per hour. The first mine can be operated no more than 54 hours a week, and the second mine can be operated no more than 27 hours a week. How many hours per week should each mine be operated to minimize the cost?
The number of hours to operate the mines to minimize cost are Mine 1 hour = 30 hours and Mine 2 hour = 10 hours
How to determine the number of hours?The given parameters can be represented using the following table of values
Mine 1 (x) Mine 2 (y) Available
Regular grade 5 20 350
Low grade 17 10 610
Operating cost 7000 29000
Time 54 27
From the table, we understand that we are to minimize cost
This means that:
Objective function: C = 7000x + 29000y
Subject to:
5x + 20y ≥ 350
17x + 10y ≥ 610
Next, we plot the constraints on a graph (see attachment)
From the graph, we have
(x, y) = (30, 10)
This means that
Mine 1 hour = 30 hours
Mine 2 hour = 10 hours
Hence, the number of hours are 30 and 10 hours
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Erica wants to get in better shape so she decides to go to a gym that advertises 4 training sessions for $330. How much will it cost Erica for 24 training sessions.
Answer: 1980
Step-by-step explanation:
1. If 4 sessions is 330 dollars, and how much is 24 sessions you have to multiply 4 times 6 and the answer is 24.
2. If 4 times 6 is 24 you have to multiply 330 by 6
3. We break down 330 dollars, so 300 times 6 is 1800, i like to take away the zeros so 3 times 6 is 18 and we add 2 zeros becuase 300 has 2 zeros. And we do the same think with 30, but this time add 1 zero because 30 has 1 one zero.
4. the answer is 1800 dollars, you're welcome!
