The maximum height of the coin is approximately 14.825 meters.
To find the maximum height of the coin, we need to find the vertex of the parabolic function. The x-coordinate of the vertex is given by:
x = -b/2a
where a = -5 and b = 13 are the coefficients of the quadratic function f(x) = -5x^2 + 13x + 6.
Plugging these values into the formula, we get:
x = -13/(2×(-5)) = 13/10
Now we can find the y-coordinate of the vertex by plugging in x = 13/10 into the function:
f(13/10) = -5(13/10)^2 + 13(13/10) + 6
Do the arithmetic operations
≈ 14.825 meters
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Una cooperativa de vivienda desea comprar un terreno valorizado en S/ 240 000. Para ello disponen de tres modalidades de pago:
Primera modalidad: cuota inicial de 20% y cuotas mensuales fijas de S/ 5 000.
Segunda modalidad: cuota inicial de 10% y cuotas mensuales fijas de S/. 9 000.
Tercera modalidad: Sin cuota inicial y cuotas mensuales fijas de S/. 12000
11 Si se opta por la primera modalidad, ¿cuánto dinero ya se habrá pagado al término del sexto mes de aportaciones?
a. S/. 48 000 b) S/. 78000 c) S/. 50000
12 ¿Qué expresión representa el dinero pagado al término del enésimo mes en la segunda modalidad?
a. 24 000 + 9 000n b. 24000n + 9000 c. 48000 +5000n
13 Si la cooperativa al término del décimo mes ya ha pagado el 50% del precio del terreno, ¿qué modalidad de pago eligieron?
a. Primera
b. Segunda
c. Tercera
Answer:
Step-by-step explanation:
The total amount paid at the end of sixth month is S/78,000. So, the correct answer is (b). Total amount paid at the end of the nth month is 24,000n + 9,000. So, the correct answer is (b). If the cooperative has already paid 50% of the price of the land by the end of the tenth month, the payment option did they choose is 20% down payment and fixed monthly payments of S/5,000. So, the correct option is (a).
For the first payment option, the down payment is 20% of S/240,000, which is S/48,000. The remaining balance is S/192,000, which is paid in fixed monthly payments of S/5,000. Therefore, at the end of the sixth month, the total amount paid is:
S/48,000 + 6 x S/5,000 = S/78,000
So, the answer is (b) S/78,000.
The amount of money paid at the end of the nth month for the second payment option is the sum of the down payment and the total monthly payments up to that month. The down payment is 10% of S/240,000, which is S/24,000. The total monthly payments up to the nth month is S/9,000 x n. Therefore, the expression for the total amount paid at the end of the nth month is:
S/24,000 + S/9,000 x n = (3S + 8n)/72
So, the answer is (b) 24,000n + 9,000.
We can find out which payment option they chose by comparing the total amount paid up to the tenth month for each option to half of the price of the land.
For the first payment option, the down payment is S/48,000 and the total monthly payments up to the tenth month is
10 x S/5,000 = S/50,000.
Therefore, the total amount paid up to the tenth month is:
S/48,000 + S/50,000 x 10 = S/480,000/25
For the second payment option, the down payment is S/24,000 and the total monthly payments up to the tenth month is
10 x S/9,000 = S/9,000.
Therefore, the total amount paid up to the tenth month is:
S/24,000 + S/9,000 x 10 = S/24,000 + S/900
For the third payment option, there is no down payment, and the total monthly payments up to the tenth month is
10 x S/12,000 = S/1,200.
Therefore, the total amount paid up to the tenth month is:
S/1,200 x 10 = S/12,000
Comparing each total amount paid up to the tenth month to half of the price of the land (S/240,000 x 0.5 = S/120,000), we see that only the first payment option meets the condition, since:
S/480,000/25 < S/120,000
Therefore, the answer is (a) First.
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Animal shelters in a county need at least 15% of their animals to be adopted weekly to have room for the new animals that are brought into the various shelters. The county manager takes a random sample of shelters each week to estimate the overall proportion of animals that are adopted. If he concludes that the proportion has dropped below 15%, he will not accept any new animals into the shelters that week. He tests the hypotheses: H0: The adoption rate is 15%, and Ha: The adoption rate is less than 15%. What is a Type I error, and what is its consequence in this context?
The manager believes the adoption rate is still 15%, when it actually has dropped below 15%. The manager will accept more animals into the shelters and will run out of room.
The manager believes the adoption rate has dropped below 15%, when it actually has not. The manager will accept more animals into the shelters and will run out of room.
The manager believes the adoption rate has dropped below 15%, when it actually has not. The manager will not accept more animals into the shelters, when there actually is room to care for those animals.
The manager believes the adoption rate is still 15%, when it actually has dropped below 15%. The manager will not accept some animals into the shelters, thinking there will not be enough room, when they could have taken care of those animals.
answer c
Answer:
the amount will give 69 percentage of nothing thanks
Pls help me ill give 20 points
Answer:
62.85 units
Step-by-step explanation:
s= rΘ
s= 4*5π/3= 20π/3
the perimeter= 20π/3*3
= 20π
= 20*22/7
= 440/7=62.85
PLEASE HELP ME! IT WAS DUE!
Answer:
one apple: 75 cents
one orange: 60 cents
Step-by-step explanation:
let x be price of one apple
let y be price of one orange
3x + 4y = 4.65
5x + 8y = 8.55
we can do elimination, substitution, or graphing.
this is elimination: (we're eliminating the x in this case to find y, and then use y to find x)
ORIGINAL EQUATIONS: (we're multiplying by 5 so we can eliminate x)
3x + 4y = 4.65
5x + 8y = 8.55
5(3x + 4y = 4.65) = 15x + 20y = 23.25
3(5x + 8y) = 8.55 = 15x + 24y = 25.65
(distribute, and then subtract to get one equation and eliminate x)
15x + 20y = 23.25
- 15x + 24y = 25.65
------------------------------
0 - 4y = - 2.4
so we got that, now we make it this: -4y = -2.4
divide both sides by -4.
-4y = -2.4
----- -----
-4 -4
y (orange variable) = 0.60
therefore, one orange cost 60 cents.
plug y (the 60 cents) back into one of the original equations (either works) and solve for x.
3x + 4y = 4.65
5x + 8y = 8.55
let's use this equation: 5x + 8y = 8.55
5x + 8(0.6) = 8.55
5x + 4.8 = 8.55
-4.8 -4.8
5x = 3.75
---- ------
5 5
x = 0.75
therefore, one apple cost 75 cents.
(also, there was an easier number to multiple the equations by)
3x + 4y = 4.65
5x + 8y = 8.55
We could have multiplied (3x + 4y = 4.65) with 2, distributing and bringing it to 6x + 8y = 9.30
Then subtract 6x + 8y = 9.30 from 5x + 8y = 8.55, and you would have solved and gotten x just fine, then plugged x back in to find y)
sorry this answer is so long...good luck :))
ax+b=dx-1 x=... if a≠d
According the given question the value οf x is (b+1)/(d-a).
What is simplificatiοn?Tο simplify simply means tο make anything easier. In mathematics, simplifying an equatiοn, fractiοn, οr prοblem means taking it and making it simpler.
Calculatiοns and prοblem-sοlving techniques simplify the issue. Simplifying shοuld have twο essential characteristics: it shοuld be algοrithmic, and it shοuld result in the same simplified fοrm when twο expressiοns fοr the same thing are simplified. These characteristics οf a simplificatiοn apprοach prοvide an algοrithm fοr determining whether twο expressiοns are equivalent.
Here, we have
Given: ax+b=dx-1, if a≠d
We have tο find the value οf x.
We apply simplificatiοn here and we get
ax+b = dx-1
b + 1 = dx - ax
b +1 = x(d-a)
x = (b+1)/(d-a)
Hence, the value οf x is (b+1)/(d-a).
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19.
A quadrilateral
B trapezoid
rectangle
parallelogram
The shape shοwn is a a parallelοgram as twο sides are parallel and οppοsite angles are same. Thus, οptiοn D is cοrrect.
What is parallelοgram?A parallelοgram is a quadrilateral in which the οppοsite sides are parallel and equal. Parallelοgrams are classified intο three main types: square, rectangle, and rhοmbus, and each οf them has its οwn unique prοperties.
A parallelοgram is a special kind οf quadrilateral that is fοrmed by parallel lines. The angle between the adjacent sides οf a parallelοgram may vary but the οppοsite sides need tο be parallel fοr it tο be a parallelοgram. A quadrilateral will be a parallelοgram if its οppοsite sides are parallel and cοngruent. Hence, a parallelοgram is defined as a quadrilateral in which bοth pairs οf οppοsite sides are parallel and equal.
Given that:
One οf the twο οppοsite sides are equal
The οther twο sides are parallel
These are the traits οf a parallelοgram.
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Complete question:
What type of shape is show below:
A teacher has a large container of blue, red, and green beads. She reports to the students that the proportion of blue beads in the container is 0.30. The students feel the proportion of blue beads is lower than 0.30. A student randomly selects 60 beads and finds that 12 of the beads are blue. The P-value for the test of the hypotheses, H 0: p = 0.30 and H alpha: p less-than 0.30, is 0.045. What is the correct conclusion given Alpha = 0.05?
Because the P-value is less than Alpha = 0.05, the student should reject H0.
Because the P-value is less than Alpha = 0.05, the student should fail to reject H0.
Because the P-value is greater than Alpha = 0.05, the student should reject H0.
Because the P-value is greater than Alpha = 0.05, the student should fail to reject H0.
answer is a
Answer:
Red I think maybe we should try hi friends I am new to this app
Given the function y = x2+ 5x − 6 , list the zeros of the function
Answer:
Step-by-step explanation:
First we sould factor out the function:
y=x^2+5x-6
y=(x+6)(x-1)
Note: if you multiply out the factored equation, you will get your original equation.
Now, find what we need to plug in to make it equal 0.
If we plug in -6, then the (x+6) part equals 0. Since we are multiplying by 0, the whole thing equals 0.
If we plug in 1, then the (x-1) part equals 0. Since we are alo multiplying by 0 here, the function comes out to 0.
This means that at x=-6 and x=1 the function comes out to 0.
Which angle is vertical to ∠3?
The angle that is vertical to angle 3 is angle 1
What is vertical angle?Vertical angles are pair angles formed when two lines intersect. Vertical angles are sometimes referred to as vertically opposite angles because the angles are opposite to each other.
This means that angles that are vertical are angle s that are opposite to each other. In the diagram above, angle 2 is opposite to angle 4 and angle 1 and angle 3.
Therefore all the angles will make a point. This means the sum of the angles is 360°.
angle 2 and angle 3 are adjascent to each other and angle 1 and 4 are adjascent to each other
Therefore the angle that is vertical to the angle 3 is angle 1
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How much larger is a circular pan with a 16 inches diameter than a squarebpan with sides measuring 16 inches
I WILL BRAINLIEST THE BEST ANSWER
The circular pan with a 16 inch diameter is 55.94 square inches (256-201.06) larger than the square pan with sides measuring 16 inches.
The area of a circle is given by the formula A=πr2, where r is the radius of the circle. The radius of a circle with a 16 inch diameter is 8 inches. Therefore, the area of this circle is A=π*82=201.06 square inches.
The area of a 16 inch square is given by the formula A=s2, where s is the length of the side of the square. The area of this square is A=162=256 square inches.
Therefore, the circular pan with a 16 inch diameter is 55.94 square inches (256-201.06) larger than the square pan with sides measuring 16 inches.
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Need the answers for A and B
The sοlutiοn οf the given prοblem οf interest cοmes οut tο be Reh will pay abοut $3,944 in interest fοr the duratiοn οf his lοan.
What dοes interest actually mean?Tο calculate the simple interest rate, divide the amοunt by the cοst οf financing, the amοunt οf time left, and οther variables. The simple return strategy in marketing is principal student lοans hrs. This methοd is the mοst basic methοd fοr figuring οut invοlvement. The mοst typical methοd fοr calculating incοme is as a share οf the principal amοunt. Tο put this intο perspective, if he wants tο bοrrοw $100 frοm a single οf these friends .
Here,
a. The fοllοwing methοd can be used tο determine the mοnthly payment fοr a lοan:
=> The mοnthly payοut = (P*r) / (1 - (1+r)(-n)).
We must first determine the entire lοan amοunt, including interest, that Reh must pay back. After 4.5 years οf interest accrual, the lοan sum is:
=> [tex]9900 \times (1 + 0.0429/12)^{(12 \times 4.5)[/tex] = 12,723.97
The οverall debt balance is $12,723.97.
The numbers can then be entered intο the fοrmula as fοllοws:
=> (12723.97*(0.0429/12)) / (1 - (1+(0.0429/12))(-12*10))
is the fοrmula fοr the mοnthly payοut.
Payment due each mοnth: $131.19 (rοunded tο the nearest dοllar)
Reh's mοnthly payment is therefοre $131, rοunded tο the clοsest dοllar.
b. The fοllοwing fοrmula can be used tο determine the tοtal interest charged οver the lοan's term:
=> tοtal interest = (mοnthly payment X n) - P .
There have been a tοtal οf:
=> 120 is equal tο ten years times οne year.
The entire interest paid is thus:
=> ($3,943.80) (tοtal mοnthly installments * n) - P
=> (131.19 * 120) - 9900 (rοunded tο the nearest dοllar)
Sο, rοunded tο the clοsest dοllar, Reh will pay abοut $3,944 in interest fοr the duratiοn οf his lοan.
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Determine the equation of the circle with center (7, -7) containing the point (11, -3).
We can say that after answering the offered question As a result, the equation for the circle with centre (7, -7) and point (11, -3) i[tex](x - 7)2 + (y + 7)2 = 32.[/tex]
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
Determine the radius:
The radius of the circle is the distance between the circle's centre (7, -7) and any point on it (11, -3).
We may calculate the distance using the distance formula:
[tex]r = \sqrt((11 - 7)^2 + (-3 - (-7))\\v^2)\\r = \sqrt(4^2 + 4^2)\\r = \sqrt(32) (32)[/tex]
In the standard form equation of a circle, substitute the centre and radius:
A circle with centre (h, k) and radius r has the following standard form equation:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
With h = 7, k = -7, and r = sqrt(32), we get:
[tex](x - 7)^2 + (y + 7)^2 = 32[/tex]
As a result, the equation for the circle with centre (7, -7) and point (11, -3) is[tex](x - 7)2 + (y + 7)2 = 32.[/tex]
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Round to the nearest tenth.
Answer:
x=16.3
Step-by-step explanation:
sine: opposite side ÷ hypotenuse
sine(x)= 7 ÷ 25 = 0.28
sine^-1(0.28) = 16.3
x = 16.3
Answer:
16.3 rounded to the nearest tenth
Step-by-step explanation:
The formula for the sine rule is Sin A / a= Sin B / b = Sin C / c which is as, Sin V / v = Sin X / x = Sin S / s
Sin 90 / 25 = Sin X / 7, that is,
1 / 25 = Sin X / 7 (cross multiply)
Make Sin X the subject of the formula;
Sin X = 7 / 25
X = Sin^-1(7 / 25)
X = 16.26 = 16.3 rounded to the nearest tenth
A villager has a garden, as shown in the diagram (not to scale). In the middle of the garden is a pond that is approximately circular with a diameter of 40 m. The villager wishes to fertilise the garden. The recommended rate of application of the fertiliser is 25 g/m². How much fertiliser will be needed? (Round your answer appropriately, stating the units used.)
The amount of fertilizer needed for the garden is 508600 grams.
How to find the how much fertilizer needed to apply in the garden?In the middle of the garden is a pond that is approximately circular with a diameter of 40 m. Therefore, the fertilizer will not be applied in the pond area.
The villagers will only apply the fertilizer in the garden area. The recommended rate of application of the fertiliser is 25 g/m².
Therefore, let's find the fertilizer required for the garden.
area of the garden to be fertilized = area of trapezium - area of a circle
area of the garden to be fertilized = 1 / 2 (a + b)h - πr²
area of the garden to be fertilized = 1 / 2 (124 + 196)135 - 3.14(20)²
area of the garden to be fertilized = 1 / 2 (320)(135) - 1256
area of the garden to be fertilized = 43200 / 2 - 1256
area of the garden to be fertilized = 21600 - 1256
area of the garden to be fertilized = 20344 m²
Therefore,
1 m² = 25 grams
20344 m² = ?
Hence,
amount of fertiliser needed = 20344 × 25 = 508600 grams
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A circular drum has a radius of 4.2m and a height of 3.5m. How many full
bags of wheat can be emptied if the space required for one wheat bag is
5.39m³.
he volume of the drum can be calculated as follows:
Volume of drum = πr²h
= π(4.2m)²(3.5m)
≈ 246.33 m³
To find out how many full bags of wheat can be emptied into the drum, we need to divide the volume of the drum by the volume of one wheat bag:
Number of full bags of wheat = Volume of drum ÷ Volume of one bag
= 246.33 m³ ÷ 5.39 m³
≈ 45.72
Therefore, the circular drum can hold approximately 45 full bags of wheat.
Answer: 45 Full of bags.
Step-by-step explanation:
The volume of the drum can be calculated using the formula for the volume of a cylinder: V = πr^2h, where r is the radius and h is the height.
V = π(4.2m)^2(3.5m)
V ≈ 246.73 m³
To find out how many bags of wheat can be emptied into the drum, we need to divide the volume of the drum by the space required for one bag:
246.73 m³ ÷ 5.39 m³/bag ≈ 45.81 bags
Since we can't have a fraction of a bag, we need to round down to the nearest whole number:
Number of bags = 45
Therefore, 45 full bags of wheat can be emptied into the drum.
The fire department is having a BBQ fundraiser. The hot dogs costs $1.50 each and cans of soda cost 50.75 each. The department uses the algebraic expression 1.50x+0.75y to calcul customers' total expenses, a. What does the x variable represent? b. What does the y variable represent?
According to the algebraic expression 1.50x + 0.75y:
a) The x variable represents the number of hot dogs sold.b) The y variable represents the number of cans of soda sold. What is an algebraic expression?An algebraic expression is a combination of variables, values, numbers, and constants.
An algebraic expression is short of an equation, which consists of two or more algebraic expressions that are equated to each other.
The cost of hot dogs per unit = $1.50
The cost of cans of soda per unit = $0.75
Let the number of hot dogs bought = x
Let the number of cans of soda bought = y
Algebraic Expression:1.50x + 0.75y = Customer's total expenses
Thus, the variables x and y in the algebraic expression represent the number of units of each type of item sold during the BBQ fundraiser.
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Find the greatest common factor for the list of monomials. 63x^(2)y^(3)z,9x^(2)y^(3),90xy^(2)
Answer: is there a Pic it would help
Step-by-step explanation:
Are babies weight increases by 8% over a month from birth to 4. 5 kg what was the weight at birth
If babies weight increases by 8% over a month from birth to 4. 5 kg, the baby's weight at birth was approximately 4.17 kg.
To find out the weight at birth, we need to use the given information that the baby's weight increased by 8% over a month to reach 4.5 kg.
Let's start by setting up an equation. We can let x be the baby's weight at birth in kg. Then, we know that the baby's weight increased by 8% over a month, so the weight after one month would be:
x + 0.08x = 4.5 kg
Simplifying this equation by combining like terms, we get:
1.08x = 4.5 kg
To solve for x, we can divide both sides of the equation by 1.08:
x = 4.17 kg
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SOMEBODY PLEASE HELP ME
slant height is 18ft base length is 40ft
Answer:
1440 ft²
Step-by-step explanation:
The roof is made up of 4 congruent triangles.
We first solve for the area of one of the triangles using the formula:
A = (1/2) · b · h
↓ plugging in given values
A = (1/2) · 40 ft · 18 ft
A = 20 ft · 18 ft
A = 360 ft²
Now, we can solve for the surface area of the entire roof by multiplying the area of one of the triangles by 4 (because there are 4 congruent triangles).
SA = 360 ft² · 4 = 1440 ft²
—
Note that we can solve for the area of the triangles using the formula {A = (1/2) · b · h} because the slant height of a pyramid is perpendicular to the side of the pyramid's base that it connects to, thereby making it the height of the triangle that is the pyramid's side.
—
On an average, five flood events in every 2 years are recorded at a location due to heavy rainfall. Number of occurrences of flood events in a year is found to follow a distribution, λx e−λ x! where λ is the expected number of flood events in a year. What is the probability of occurring not more than two flood events in a particular year at that location?
The probability of occurring not more than two flood events in a particular year at that location is approximately 0.546.
The given distribution is λxe-λx! where λ is the expected number of flood events in a year. In order to calculate the probability of not more than two flood events in a particular year at that location.
The expected number of flood events in a year is given by: λ = (5 flood events) / (2 years) = 2.5 flood events per year
The given distribution is:λxe-λx! = 2.5xe-2.5x!
We need to find the probability of occurring not more than two flood events in a particular year at that location.
Therefore, the required probability is:P(x ≤ 2) = P(x = 0) + P(x = 1) + P(x = 2)Here, P(x) represents the probability of x flood events.
The probability of x flood events can be calculated using the Poisson distribution formula:
P(x) = λxe-λx!Substitute λ = 2.5 and x = 0 in the above formula to get:P(0) = (2.5)0e-2.5 / 0! = e-2.5 ≈ 0.082Substitute λ = 2.5 and x = 1 in the above formula to get:P(1) = (2.5)1e-2.5 / 1! = 2.5e-2.5 ≈ 0.206Substitute λ = 2.5 and x = 2 in the above formula to get:P(2) = (2.5)2e-2.5 / 2! = 3.125e-2.5 ≈ 0.258Step 5
Now, add the above probabilities to find the required probability:P(x ≤ 2) = P(0) + P(1) + P(2)≈ 0.082 + 0.206 + 0.258 = 0.546Therefore, the probability of occurring not more than two flood events in a particular year at that location is approximately 0.546.
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solve every single thing on tha page please
Answer:
Answer = 21 Sacks
Step-by-step explanation:
First, we need to calculate how much flour the baker will use in 20 days:
Amount of flour used per day for 64 loaves = 64 loaves/day x 400 g/loaf = 25,600 g/day
Amount of flour used in 20 days = 25,600 g/day x 20 days = 512,000 g
Next, we need to convert the amount of flour used into kilograms:
512,000 g ÷ 1000 g/kg = 512 kg
Finally, we need to calculate the minimum number of 25 kg sacks the baker should order:
Number of 25 kg sacks = 512 kg ÷ 25 kg/sack ≈ 20.48
Since the baker cannot order a fraction of a sack, he will need to order at least 21 sacks to last him for 20 days.
An amusement park has 8 water slides and 26 other attractions.
What is the probability that a randomly selected attraction at this amusement park will be
a water slide?
Write your answer as a fraction or whole number.
P(water slide)
Answer:
The answer is 4/17
Step-by-step explanation:
Create two sets of data with the following characteristics: -Each data set has 7 values, - The median of set 1 is greater than the median of set 2, - The IQRs of the data sets are the same. PLEASE HELP TY
The two sets of data are
Set 1: 5, 6, 7, 8, 9, 10, 20
Set 2: 1, 2, 3, 4, 5, 15, 16
Median of data:The median is a measure of central tendency in a data set that represents the middle value of the data when arranged in order.
To find the median of a data set, we need to arrange the values in ascending or descending order and then find the middle value.
IQR of Data:The IQR (Interquartile Range) is a measure of variability in a data set that represents the difference between the 75th percentile (third quartile) and the 25th percentile (first quartile).
To calculate the IQR of a data set, we need to find the values of the first quartile (Q1), and third quartile (Q3), and then subtract Q1 from Q3.
Here we have
Each data set has 7 values, -
The median of set 1 is greater than the median of set 2, -
The IQRs of the data sets are the same.
To create the sets assume a positive value as the median of the data and make sure that the value is in the middle of the data.
Similarly, take another positive value that is greater than the previous value and make sure that the value is also in the middle.
Now arrange the remaining values such that both sets of data have the same IQRs.
Here are two sets of data that meet the given characteristics:
Set 1: 5, 6, 7, 8, 9, 10, 20
Median: 8
IQR: 4 (Q3 = 9, Q1 = 5)
Set 2: 1, 2, 3, 4, 5, 15, 16
Median: 4
IQR: 4 (Q3 = 5, Q1 = 1)
Therefore,
The two sets of data are
Set 1: 5, 6, 7, 8, 9, 10, 20
Set 2: 1, 2, 3, 4, 5, 15, 16
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Rewrite 10 + 12 using the GCF and factoring
Answer:
a)
=2×5+2×6
=10+12
=22
Ans. GCF (10, 12) = 2
Anthony has a sink that is shaped like a half sphere the sink has a volume of 660 Pi inch cubed one day his sink clogged he has to use one of the two cylindrical cups to scoop the water out of the sink the sink is completely full when Anthony begins scooping
A) one cup has the diameter of 5 in and a height of 8 in how many cups of water must Anthony scoop out of the sink with this cup empty round the number of scoops to the nearest whole number
B) one cup has a diameter of 10 inches and a height of 8 in how many cups of water must be scooped out of the sink with his cup to empty it round the number of scoops to the nearest whole number
!!Please I Need An Answer Quickly!!
A) Rounding to the nearest whole number, Anthony needs to scoop out 13 cups of water with this cup.
B) Rounding to the nearest whole number, Anthony needs to scoop out 3 cups of water with this cup.
The volume of the sink is given as 660 Pi inch cubed, which means the radius of the half-sphere sink is:
[tex]r = (3 \times 660 Pi / 4Pi)^{(1/3)} = 9 inches[/tex]
A) For the first cup with a diameter of 5 inches and a height of 8 inches, the volume of the cup is:
[tex]V = Pi \times r^2 \times h = Pi \times (2.5)^2 \times 8 = 50[/tex]Pi inch cubed
The number of scoops required to empty the sink can be found by dividing the volume of the sink by the volume of one scoop:
Number of scoops = 660 Pi / 50 Pi = 13.2
Rounding to the nearest whole number, Anthony needs to scoop out 13 cups of water with this cup.
B) For the second cup with a diameter of 10 inches and a height of 8 inches, the volume of the cup is:
[tex]V = Pi \times r^2 \times h = Pi \times (5)^2 \times 8 = 200[/tex] Pi inch cubed
The number of scoops required to empty the sink can be found by dividing the volume of the sink by the volume of one scoop:
Number of scoops = 660 Pi / 200 Pi = 3.3
Rounding to the nearest whole number, Anthony needs to scoop out 3 cups of water with this cup.
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The diameter of a circle is 25 m. Find its area to the nearest whole number.
Answer: 490.87 is the answer, rounded to a whole number is 491.
Step-by-step explanation: A≈490.87m²
Solving for A
A=1
4πd2=1
4·π·252≈490.87385m²
Not sure that's really an explanation but... Hope that makes since :)
A scale model of a building has a scale of 3 : 74
The height of the real building is 21 m.
Find the height of the scale model.
Give your answer in cm to 2 dp. need this ASAP
Answer:
0.85 m
Step-by-step explanation:
Model dimension : Real dimension
3 : 74
x : 21
[tex] \frac{21}{74} = \frac{x}{3} \\ x = 3 \times \frac{21}{74} \\ = \frac{63}{74} \\ = 0.851...[/tex]
Answer:
85.54 cm
Step-by-step explanation:
To find the height of the scale model, we need to use the scale ratio given: 3 : 74. This means that every 3 units on the model represent 74 units on the real building.
First, we need to determine the ratio of the heights. Let x be the height of the scale model. Then:
3 / 74 = x / 21
Solving for x, we get:
x = 21 * 3 / 74
x = 0.8554 m
To convert this to centimeters, we multiply by 100:
x = 85.54 cm
Therefore, the height of the scale model is 85.54 cm to 2 decimal places.
(Please could you kindly mark my answer as brainliest)
A chef made 85 different meals. 34 people chose the same meal. What percent of his customers chose the same meal?
Answer: To find the percentage of customers who chose the same meal, we need to divide the number of people who chose the same meal by the total number of customers, and then multiply by 100 to convert to a percentage:
percentage = (34 / 85) x 100
percentage = 40
Therefore, 40% of the customers chose the same meal.
Step-by-step explanation:
Answer:
Its 40%
Step-by-step explanation: you divide 85 by 34 to get your answer
the following question has two parts first answer part A then answer part B
Isabella's mother has a garden with an area of 10 2/3 square feet she plants peas in 1/4 of the garden. calculate the area that was used for planting peas.
part B Isabella's mother sells the peas and gets 3 for each square foot so multiply your answer from part A by 3 to calculate how much money Isabella's mother made.
Answer: Part A:
If Isabella's mother has a garden with an area of 10 2/3 square feet, and she plants peas in 1/4 of the garden, we can calculate the area used for planting peas by multiplying the garden area by 1/4:
Area used for planting peas = (10 2/3 square feet) x (1/4) = (32/3) x (1/4) = 8/3 square feet
Therefore, the area used for planting peas is 8/3 square feet.
Part B:
If Isabella's mother sells the peas and gets 3 dollars for each square foot, we can calculate how much money she made by multiplying the area used for planting peas by 3:
Money made = (8/3 square feet) x (3 dollars/square foot) = 8 dollars
Therefore, Isabella's mother made 8 dollars by selling the peas she planted in her garden.
Patricia opens a savings account with $1100 that earns 9% interest per year not compounded how much money will Patricia earn in 3 years.
Step-by-step explanation:
Her interest earned will be p r t
p = principal = amount of deposit = 1100 dollars
r = decimal interest rate = .09
t = time in years = 3
$ 1100 * .09 * 3 = $ 297 .