26 cards must be selected from a standard deck of 52 cards to guarantee that at least four hearts, four diamonds and five clubs are selected.
We have given that standard deck of 52 cards.
And we have to find the number of cards must be selected from a deck to get at least four hearts, four diamonds and five clubs.
So four hearts + four diamonds + five clubs = 13 cards
The worst case, we may select all the spade i.e 13 cards before any heart, diamond and club.
So the guarantee that at least four hearts, four diamonds and five clubs are selected, 13 + 13 = 26
Therefore 26 cards must be selected from standard deck of 52 cards to guarantee that at least four hearts, four diamonds and five clubs are selected.
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Find:
11/3÷2/3
the question is five and
Answer:
[tex]\dfrac{11}{2}[/tex] or [tex]5 \, \dfrac{1}{2}[/tex]
Step-by-step explanation:
Division of fractions can be represented as multiplication by one of the fractions' reciprocal. (Skip, Flip, and Multiply)
So,
[tex]\dfrac{11}{3} \div \dfrac{2}{3} = \dfrac{11}{3} \times \dfrac{3}{2}[/tex]
And we can simplify this to:
[tex]\dfrac{11}{2}[/tex] or [tex]5 \, \dfrac{1}{2}[/tex]
a number, y, is equal to twice the sum of a smaller number and 3. the larger number is also equal to 5 more than 3 times the smaller number. which equations represent the situation? 2 x minus y
The final two equations which represent the given situation are:
2x - y = -6 and 3x - y = -5.
What is the linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a linear equation of two variables.
Suppose,
The larger number is 'y' and the smaller number is 'x'.
First relation,
'y' is equal to twice the sum of a smaller number (x) and 3. So we represent this as:
y = 2(x+3)
y = 2x + 6
2x - y = -6 ............(1)
Second relation,
The larger number (y) is equal to 5 more than 3 times the smaller number (x). So we represent this as:
y = 5 + 3x
3x - y = -5 .............(2)
Hence, the final two equations which represent the given situation are:
2x - y = -6 and 3x - y = -5.
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a lottery offers one $1000 prize, one $500 prize, and eight $100 prizes. one thousand tickets are sold at $4.00 each. find the expectation if a person buys five tickets.
Answer:
he would have a 50% chance of getting one of the 10 prizes
SSS,SAS, or none? congruent triangles
Evaluate:
please help fast
Answer: 256
Step-by-step explanation:
8^8/3 is the same as an 8 square root! We have to factor out and I get 2^8 after finish factor the smallest number and get 256!
Graph the following features:
47. refer to exercise 46. suppose the distribution is normal (the cited article makes that assumption and even includes the corresponding normal density curve). a. how likely is it that the sample mean diameter exceeds 71 when n
The probability that the sample mean diameter surpasses 71 when n = 30 is 0.5 if the distribution is normal (the quoted article makes this assumption and even gives the related normal density curve).
The likelihood that the sample mean diameter exceeds 71 when n = 30 is 0.5, since the normal distribution is symmetric around the mean. This means that there is a 50% probability of the sample mean diameter being above the mean, and a 50% probability that it is below the mean.
The correct question is : suppose the distribution is normal (the cited article makes that assumption and even includes the corresponding normal density curve). a. how likely is it that the sample mean diameter exceeds 71 when n = 30
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mr. smith has a maximum of $50 to spend at a museum. a ticket to the museum costs $7. he can spend p dollars to buy other things at the museum. write the inequality that can be used to find the values for p and solve for p.
The inequality that can be used to find the values for p is p + 7 ≤ 50.
Given the information,
Mr. Smith can only spend up to $50 at a museum. The museum admission ticket is $7. He can use his P dollars to purchase other items from the museum.
The total budget is $50.
The cost per ticket is $7
⇒ Total spent ≤ Total Budget
⇒ p + 7 ≤ 50
⇒ p ≤ 43
Therefore, p + 7 ≤ 50 will be the inequality that aids in determining the range of values for p.
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the surface area of a rectangular box is given by the polynomial 2hl 2lw 2hw and is measured in square units. a rectangular box is to be constructed for shipping materials. the box is to have dimensions of 5 inches by 3 inches by 7 inches. find the surface area of the box.
Surface area of the box measuring 5 inches by 3 inches by 7 inches is 142 square inches.
What is surface area ?The surface area of the object that refers to the overall space that is filled by its surfaces. Different 3D shapes in the geometry have various surface areas, which can be quickly estimated using the formulas. Two categories are used to classify the surface area:
Curved surface area or Lateral surface area
Surface area in total
Surface area of rectangle = 2 ( lb + bh + hl )
Dimensions of box = 5 inches by 3 inches by 7 inches
Hence,
Length = 5 inches
Breadth = 3 inches
Height = 7 inches
By putting it in formula of surface area of rectangle
= 2 ( lb + bh + hl )
= 2 ( 5*3 + 3*7 + 7*5 )
= 2 ( 15 + 21 + 35 )
= 2 * 71
= 142 square inches
Hence, the total surface area of the box is 142 square inches.
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american express executives hypothesize that 40% of college students own an american express credit card. testing this hypothesis is an example of
Testing the hypothesis "Americans express executives hypothesize that 40% of college students own an Americans express credit card." is an example of generalizing.
What is hypothesis?A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge. A straightforward hypothesis only hypothesizes the relationship between two independent and dependent variables.
An example of testing a generalization is "American Express executives' hypothesis that 40% of college students own an American Express credit card."
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Problem 9. Find the perimeter of quadrilateral PORS with the vertices P(-2-2), Q(-1,3), R(5,3), and S(4,-2)
Answer:
Perimeter is 12+2√26
Step-by-step explanation:
Question:
The perimeter of quadrilateral PQRS with the vertices
P(-2, -2), Q(-1, 3), R(5, 3), and S(4, -2)
Find distances PS and QR:
Notice the y-coordinates are the same for 2 pairs of points
P(-2, -2), S(4, -2) and Q(-1, 3), R(5, 3)
So the distance PS = |-2|+4= 6 and QR = |-1|+5 = 6
Find the distances PQ and SR:
Use the distance formula:
[tex]d= \sqrt{(x_{2}-x_{1} ) ^{2} + (y_{2}-y_{1} ) ^{2} }[/tex]
P([tex]x_{1}[/tex] = -2, [tex]y_{1}[/tex] = -2), Q( [tex]x_{2}[/tex] = -1, [tex]y_{2}[/tex] = 3)
PQ = [tex]\sqrt{(-1--2)^{2} +(3- -2)^{2} } = \sqrt{1^{2} +5^{2} } = \sqrt{26}[/tex]
SR = [tex]\sqrt{26}[/tex], because of PQ and SR are equal.
Find the perimeter of quadrilateral PQRS:
The perimeter is equal to the sum of all sides of the quadrilateral.
P= PS + QR + PQ + SR = 6+6+ √26 +√26 = 12+2√26
the actual answer pleaseee hellpp asapp
Answer:
∠BEC is supplementary to ∠AEB
∠AED and ∠BEC are a pair of vertical angles
Jar A contains 4 red marbles and 6 blue marbles. Jar B contains 8 red marbles and 2 blue marbles. (20 points) (a) How many ways are there to choose a marble from Jar A or Jar B? (b) How many ways are there to choose a marble from Jar A and Jar B? (C) How many ways are there to choose a red marble from Jar A and Jar B? (d) If you choose marbles from Jar A and Jar B at random, what is the probability that they are both red?
The probability of randomly getting the red marbles from both Jar A and Jar B is 8/25.
What do we mean by probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.
An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
So, the probability that both marbles will be red is:
Probability formula: P(E) = Favourable events/Total events
We know that:
Jar A: 4 red marbles and 6 blue marbles
The probability of randomly choosing red marble is:
P(E) = Favourable events/Total events
P(E) = 4/10
P(E) = 2/5
Jar B: 8 red marbles and 2 blue marbles
The probability of randomly choosing red marble is:
P(E) = Favourable events/Total events
P(E) = 8/10
P(E) = 4/5
So, the total probability will be:
2/5 * 4/5
8/25
Therefore, the probability of randomly getting the red marbles from both Jar A and Jar B is 8/25.
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Correct question:
Jar A contains 4 red marbles and 6 blue marbles. Jar B contains 8 red marbles and 2 blue marbles. (20 points) If you choose marbles from Jar A and Jar B at random, what is the probability that they are both red?
Sarah can make 4 cards in 60 minutes. At this rate, how many cards will she make in
300 minutes?
Answer: 20 cards.
Step-by-step explanation: If Sarah can make 4 cards in 60 minutes, then she can make 1 card in 60/4 = 15 minutes.
Therefore, in 300 minutes, she can make 300/15 = <<300/15=20>>20 cards.
one number added to three times another number is 24 five times the number added to three times the other number is 36 find the numbers
The required numbers for the given case are 3 and 7 respectively.
How to solve a linear equation?A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.
As per the given data the problem can be solved as follows,
Suppose the first number be x and the second be y.
Now, the equations can be formed as,
x + 3y = 24 (1)
5x + 3y = 36 (2)
Solve these equations by multiplying equation (1) by 5 and then subtract from (2) as below,
5x + 3y - 5(x + 3y) = 36 - 5 × 24
3y - 15y = -84
=> -12y = -84
=> y = 7
Substitute y = 7 in equation (1) to get,
x + 3 × 7 = 24
=> x = 3
Hence, the numbers for the given problem are 3 and 7 respectively.
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ASAP PLEASE! Complete the square.
[tex]m^2-8m[/tex]
Find the missing term that completes the square.
[tex]m^2-8m+?[/tex]
(Simplify your answer. Type an integer or a fraction.)
Answer:
16
Step-by-step explanation:
Let us assume the square is (m-a)²
We have to find a
(m-a)² = m² -2am + a²
We are given
m² -8m
Comparing terms
2a = 8
a = 4
so the square is (m-4)²
which is m² - 8m + 16
g what is the probability of flipping at least 3 heads in 4 flips of 2 fair coin given that the first flip is heads?
The probability is 0.25.
What is probability?
Probability is the ability to happen. The subject of this area of mathematics is the occurrence of random events. From 0 to 1 is used to express the value. To determine how likely an event is to occur, mathematics has created the concept of probability.
Given there are 2 coins flipped 4 times, we get the following sample space
S = {HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, TTTT}
Now, A = event of having at least 3 heads.
A= {HHHH, HHHT, HHTH, HTHH, THHH}
The number of events having the first flip heads is 4.
Therefore, the probability is:
P(A) =
[tex]=\frac{successful \space\ events}{total\space\ sample\space\ events}\\=\frac{4}{16}\\=0.25[/tex]
Therefore, the probability of flipping at least 3 heads in 4 flips of 2 fair coins given that the first flip is heads is 0.25.
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Secretary of State Roxana Tillerson is worried about malpractice at the 4 processing centers for Green Cards in the country. Green Card applications are given a grade g on a scale 0-100. They are assigned randomly to different centers and thus Tillerson expects all centers to have similar mean scores. She collects the data in the table. #applications g 8g 9360 67.50 14.85 9870 67.17 15.10 0 1 2 3 7020 67.28 14.79 5040 66.77 15.16 4 rows x 3 columns At this point she just wants to decide whether or not to initiate a deeper investigation into malpractice at all sites. Does she have sufficient evidence for this, at 9% significance? SSTr number (rtol=0.01, atol=0.0001) SSE number (rtol=0.01, atol=0.0001) Fx number (rtol=0.01, atol=0.0001) P-val number (rtol=0.01, atol=0.0001) (a) Yes, she has enough evidence (b) No, she cannot make a conclusion Select the key assumptions in the test you used. (a) All the sampled data come from a uniform distribution. (b) The populations are independent and therefore their covariances are one. (c) All the sampled data come from a normal distribution. (d) The populations are independent and therefore their covariances are zero. (e) All sample sizes are equal ? ? ?
The p-value is 0.0388 at 9% significance, so (a) Yes, she has enough evidence with assumptions used in the test is (c) all the sampled data come from a normal distribution and (d) the populations are independent and therefore their covariances are zero.
How to determine whether the evidence is sufficient or not?All data in attached table
First, we must calculate the grand mean. So,
Grand mean ([tex]\bar{\bar{g}}[/tex]) = [tex]\frac{\bar{g_{1}} + \bar{g_{2}} + \bar{g_{3}} + \bar{g_{4}}}{k}[/tex]
= (67.5 + 67.17 + 67.28 + 66.77) / 4
= 67.18
Next, we calculate SSTr
SSTr = [tex]\sum n_i(\bar{g_{i}} - \bar{\bar{g}})^2[/tex]
= 9360(67.5-67.18)^2 + 9870(67.17-67.18)^2 + 7020(67.28-67.18)^2 + 5040(66.77-67.18)^2
= 1,876.875
Then, we calculate SSE
SSE = [tex]\sum(n_i-1)Sg_i^2[/tex]
= (9360-1)(14.85^2) + (9870-1)(15.1^2) + (7020-1)(14.79^2) + (5040-1)(15.16^2)
= 7,007,556.804
Before we calculate F test, we first calculate the N value with this formula,
N = [tex]\sum n_i[/tex]
= 9360 + 9870 + 7020 + 5040
= 31,290
Then, for F test use this formula,
F = [tex]\frac{SSTr/(k-1)}{SSE/(N-k)}[/tex]
= [tex]\frac{1876.875/(4-1)}{7007556.804/(31290-4)}[/tex]
= 2.793
Next, for p-value we use p value calculator for f test with following data,
F-ratio value = 2.793
DF-numerator = k - 1 = 4 - 1 = 3
DF-denominator = N - k = 31290 - 4 = 31286
and we get the p-value is 0.0388
Since, 0.0388 < 9% of significance, so she has enough evidence to initiate a deeper investigation.
Thus, assumptions used in the test is all the sampled data is normal distribution and the population are independent with covariances are zero and the result is yes, she has sufficient evidence.
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Whats the surface area of the triangular prism?
Answer:
426 cm^2
Step-by-step explanation:
what percent of the variability is accounted for by the relationship between the two variables and what does this statistic mean
95% of the associations we would anticipate to see by chance are weaker than the statistical relationship between the two variables.
Statistical connection:
A statistical relationship states that if one variable (X) changes, another will systematically rise (Y).
Given,
Statistical significance is the degree to which a statistical link exists between two variables.
Here, we must determine whether it is stronger than the proportion of associations we would anticipate to occur by chance.
While researching the posed question, we discovered that the statistical correlation is more than the 95% chance correlation rate.
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Point W is located at (6, 4) on the coordinate plane. Point W is reflected over the y-
axis to create point W'. Point W' is then reflected over the -axis to create point
W". What ordered pair describes the location of W"?
Answer:
W'(-6,4)
Step-by-step explanation:
W (6,4) When it is reflective over the y axis it is now not six to the right of the y axis, it is now 6 to the left.
W' ( -6,4)
W' (-6 4) is now reflected over the x axis. Instead of being 4 units above the x axis, it is now 4 unit below
W" (-6,-4)
Plot the points (0, 6) and (3, 0). What is the slope?
6/-3
O 1/2
-1/2
6/3
Slope is "change in y over change in x".
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Using those two points, you'd have
[tex]m=\dfrac{y_2-y_1}{x_2-x_1} = \dfrac{0-6}{3-0}=\dfrac{-6}{3}=-2[/tex]
Notice that doesn't match any of the listed answers. The reason is that two of those answers aren't reduced.
If you reduce the first answer of [tex]\dfrac{6}{-3}[/tex], you have [tex]\dfrac{6}{-3}=-2[/tex]. So that first answer is equivalent to the calculation above.
The answer from your list is the first one.
The radius of a circle is 10 feet. What is the area of a sector bounded by a 180° arc?
Answer:
50π feet^2
Step-by-step explanation:
area of the circle = 10^2 π = 100π feet^2
A of the sector = 100π/2 = 50π feet^2
HELPPP PLEASE ASAP!!!!!!!!
Answer:
x=6
Step-by-step explanation:
i assume these are similar triangles so we can set them up as fractions
x/9=4/x
cross multiply
9(4)=x(x)
36=x^2
√. √
6=x
and now we can check if each have the same ratio
6/9= 4/6
2/3=2/3
hopes this helps please mark brainliest
a 8ft thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 44ft . find the side length of the original cube. round your answer to two decimal places.
The side length of the original cube is, 8.60 feet.
What is volume?
The amount of three-dimensional space that is occupied is measured by volume. It is frequently expressed quantitatively using SI-derived units, other imperial units, or US customary units. Volume and the notion of length are connected.
Given:
A 8ft thick slice is cut off the top of a cube, resulting in a rectangular box that has volume 44ft^3.
Let x = the side of the cube then
x^3 = original volume of the cube and
8x^2 = volume of the 8 feet slice
Therefore,
x^3 - 8x^2 = 44
Subtract 44 on both sides,
x^3 - 8x^2 - 44 = 44 - 44
x^3 - 8x^2 - 44 = 0
After solving x ≈ 8.59553
⇒ x = 8.60
Hence, the side length of the original cube is 8.60 feet.
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New game You pay 10 and roll a 6 die. If you get a you win 50 If not, you get to roll again. If you get a 6 this time, you get your 10 back.a) Create a probability model for this game.b) Find the expected value and standard deviation of your prospective winnings.c) You play this game five times. Find the expected value and standard deviation of your average winnings.d) 100 people play this game. What's the probability the person running the game makes a profit?
The probability mode for the given value is created. The expected value and standard deviation of prospective winnings are -$0.28 and $18.33. The expected value and standard deviation if the game is played five times are -$1.40 and $40.99. The probability that the person running the game makes a profit is 0.561.
Probability is a way to determine how likely something is to happen. It is computed by dividing the frequency of the event by the total number of outcomes. The formula then becomes P(X) = frequency of the event÷total number of outcomes.
The product of the probabilities determines the likelihood that two or more occurrences will coincide. This is given by, P(A and B) = P(A)P(B).
a) To create a probability model follow the steps. Let X is an occurrence of an event. The table is attached here.
b) The expected value is calculated using the formula, E(X) = μ = ∑ x P(x).
[tex]\begin{aligned}E(X)=\mu&=x_1p_1+x_2p_2+x_3p_3\\&=40\left(\frac{1}{6}\right)+0\left(\frac{5}{36}\right)+(-10)\left(\frac{25}{36}\right)\\&=-\$ 0.28\end{aligned}[/tex]
Also,
[tex]\begin{aligned}E(X^2)&={x_1}^{2}p_{1}+{x_2}^{2}p_{2}+{x_3}^{2}p_{3}\\&=(40)^2\frac{1}{6}+(0)\frac{5}{36}+(-10)^2\frac{25}{36}\\&=(1600)\frac{1}{6}+(0)\frac{5}{36}+(100)\frac{25}{36}\\&=266.67+69.44\\&=336.11\end{aligned}[/tex]
And the standard deviation is calculated using the formula, σ=√Var[X].
[tex]\begin{aligned}\sigma=\sqrt{\text{Var}(X)}&=\sqrt{E(X^2)-E(X)^2}\\&=\sqrt{336.11-0.08}\\&=\sqrt{336.03}\\&=\$18.33\end{aligned}[/tex]
c) The expected value and standard deviation for playing the game 5 times are calculated as follows.
The expected value is,
[tex]\begin{aligned}5\times E(X)&=5(-\$0.28)\\&=-\$1.40\\\end{aligned}[/tex]
The standard deviation is,
[tex]\begin{aligned}\sigma&=\sqrt{5\times\tex{Var}(X)\\&=\sqrt{5\times336.03\\&=\sqrt{1680.15}\\&=\$40.99\end{aligned}[/tex]
d) The dice rolling is random and the winning chance is independent. The probability the person running the game makes a profit (P(x<0)) is given by,
The population mean, μ(Y) = -$0.28
The standard deviation for a population of 100 is,
[tex]\begin{aligned}\sigma&=\sqrt{\frac{\text{Var}(X)}{n}}\\&=\frac{18.33}{\sqrt{100}}\\&=1.83\end{aligned}[/tex]
The z-score for mean winning is,
[tex]\begin{aligned}z&=\frac{x-\mu}{\sigma}\\&=\frac{0-(-0.28)}{1.83}\\&=0.153\end{aligned}[/tex]
For a person to make a profit, the mean winning of the player should be less than the z-score. Then,
The P-value from the z-table, P(z<0.153)=0.5608
The answer is 0.561.
The complete question is -
You pay $10 and roll a die. If you get a 6, you win$50. If not, you get to roll again. If you get a 6 this time, you get your $10 back. a) Create a probability model for this game. b) Find the expected value and standard deviation of your prospective winnings. c) You play this game five times. Find the expected value and standard deviation of your average winnings. d) 100 people play this game. What’s the probability the person running the game makes a profit?
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The points given in the table lie on a line. Find the slope of the line.
Answer:
-4/3
Step-by-step explanation:
We can find the slope of the line using
m = ( y2-y1)/(x2-x1)
m = ( -9 -3)/( 8 - -1)
= ( -9-3)/( 8+1)
= -12 / 9
= -4/3
Answer:
[tex]\sf m=-\frac{4}{3}[/tex]
Step-by-step explanation:
First, select any two coordinates of the line.
( -1, 3 ) ⇒ ( x₁ , y₁ )
( 2, -1 ) ⇒ ( x₂ , y₂ )
And now let us use the below formula to find the slope of the line.
[tex]\sf m= \frac{y_1-y_2}{x_1-x_2} \\[/tex]
Let us find the slope now.
[tex]\sf m= \frac{y_1-y_2}{x_1-x_2} \\\\\sf m= \frac{3-(-1)}{-1-2} \\\\\sf m= \frac{4}{-3}\\\\\sf m=-\frac{4}{3}[/tex]
Chris earns $7.00 per hour working on the weekends
He needs at least 210.00 for a new cell phone
Just look at the picture and help please
s It is required to set a stake to mark a grade of 45.49 ft. The Hl of the level is 53.56 ft and the rod on stake reads 4.32 ft. Determine the amount of cut (C) or fill(F) to be marked on the stake. cut 8.07 ft O fill 8.07 ft cut 3.75 Ft fill 3.75 Ft
The correct option is option C i.e. the amount of cut (C) to be marked on the stake is equivalent to 3.75 Ft.
Given that:
It is required to set a stake to mark a grade of 45.49 ft.
i.e. required grade = 45.49 ft
The Hl of the level is 53.56 ft
i.e. HI = 53.56 ft
the rod on the stake reads 4.32 ft.
i.e. Stake reading = 4.32 ft
We know that,
The formula for cut/fill is:
Cut/Fill = HI – Stake reading – required grade
Cut/Fill = 53.56 ft - 4.32 ft - 45.49 ft
Cut/Fill = 53.56 ft - 49.81 ft
Cut/Fill = 3.75 ft
As the value is positive therefore this amount is for cut and not the amount of fill.
The amount of cut (C) to be marked on the stake is 3.75 Ft.
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Monique and Tara each make an ice-cream undae. Monique get 2 coop of Cherry ice-cream and 1 coop of Mint Chocolate Chunk ice-cream for a total of 60g of fat. Tara ha 1 coop of Cherry and 2 coop of Mint Chocolate Chunk for a total of 87g of fat. How many gram of fat doe 1 coop of each type of ice cream have?
The factors in the word problem for the amount of fat in the ice cream
combination are given by the fat in each constituent.
The amount of fat in Cherry ice-cream is 11 grams.
The amount of fat in the Mint Chocolate Chunk ice-cream is 16 grams.
Reasons:
The given parameters are;
Let C represent the amount of fat in Cherry ice-cream, and let M represent
the amount of fat in Mint Chocolate Chunk ice-cream, we get;
4·C + M = 60...(1)
C + 4·M = 75...(2)
Multiplying equation (1) by 4 and then subtracting equation (2) from the
result gives;
4 × (4·C + M) = 4 × 60
16·C + 4·M = 240...(3)
(16·C + 4·M) - (C + 4·M) = 240 - 75
15·C = 165
The amount of fat in Cherry ice-cream C = 11 grams
4 × 11 + M = 60
M = 60 - 4 × 11 = 16
The amount of fat in the Mint Chocolate Chunk ice-cream, M = 16 grams