Pressure at 3000 meters above sea level will be 690.33 millibars.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
Given, At a height of n meters above sea level, the atmospheric pressure is Pn millibars. At a height of (n + 1000) meters above sea level, the atmospheric pressure is P(n + 1000) millibars.
where,
P(n + 1000) = 0.88Pn
at n = 0
P(1000) = 0.88 P(n = 0)
Since,
P(n = 0) is 1013 milibar
thus,
P(1000) = 0.88 * 1013
At n = 1000
P(1000 + 1000) = 0.88 P(n = 1000)
P( 2000) = 0.88 * 0.88 *1013
at n = 2000
P(2000 + 1000) = 0.88 P(n = 2000)
P( 3000) = 0.88 *0.88* 0.88 *1013
Thus,
P(3000) = 690.33
Therefore, Pressure at 3000 meters above sea level could be 690.33 millibars.
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Work the following problem using the tables. Choose the correct answer. Currency on hand = $100 United States dollars Currency desired = french francs How many francs based on Tuesday rate?
Based on the Tuesday rate, $100 United States dollars is equal to 843.64 French francs.
1. From the tables, the Tuesday rate is 0.119 US dollars to 1 French franc.
2. To find the exchange rate, multiply the number of US dollars by the exchange rate: 100 x 0.119 = 11.90.
3. To find the amount in French francs, divide the US dollars by the exchange rate: 11.90 / 0.119 = 843.64 French francs.
Therefore, $100 United States dollars is equal to 843.64 French francs based on the Tuesday rate.
At the Tuesday exchange rate, one hundred United States dollars is equal to eight hundred and forty-three point sixty-four French francs. This means that for every one hundred US dollars, you can get eight hundred and forty-three point sixty-four French francs in exchange.
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Write the equation of a circle whose center is at (-11,15) and whose radius is 9
Your answer must be in Standard Form AND simplified
Answer:
(x + 11)² + (y - 15)² = 81
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
here (h, k ) = (- 11, 15 ) and r = 9 , then
(x - (- 11) )² + (y - 15)² = 9² , that is
(x + 11)² + (y - 15)² = 81
solve this asap please
Answer:
a) See attached image
b) AA (or AAA) similarity; either one is correct
c) The statue is 22 meters tall
Step-by-step explanation:
Let's assume the height of the statue is h (to be determined)
a) First let's create a diagram to model this scenario. See attached image
One of the properties of a mirror reflection is that the angle of incidence i.e. the angle at which light strikes the mirror = angle of reflection i.e. the angle at which the light reflects off the mirror
These angles are shown as α and β in the diagram
The two triangles we choose to solve this problem are
ΔABC and ΔCED
Given that ∠BCA is a complementary angle to angle of reflection and ∠ECD is complementary to the angle of incidence, it follows that
m∠BCA = m∠CED
m∠BAC of ΔABC = m∠ECD of ΔECD = 90°
Therefore the third angles of both triangles are also equal
b) By the AA (or AAA) or Angle-Angle Similarity theorem, the two triangles are similar
Therefore the ratio of the sides must be the same for corresponding sides
Therefore
[tex]\dfrac{AB}{DE} = \dfrac{AC}{CD} \\\\Given AD = 12, CD = 3\\\\\dfrac{AD}{CD} = \dfrac{12}{3}= 4\\\\\therefore \\\\\dfrac{AB}{ED} = 4\\\\[/tex]
Since ED is the height of the girl = 5.5 meters and AB = height of the statue = h
we get
[tex]\dfrac{h}{5.5} = 4\\\\h = 4 \times 5.5\\\\h = 22\\\\[/tex]
Answer (c) height of statue = 22 meters
A teacher plans to use a 40-inch long roll of string to form a border around a rectangular space on her bulletin board reserved for student use. What is the maximum amount of space, in square inches, that she can reserve on her bulletin board using this roll of string?
The maximum amount of space that the teacher can reserve on her bulletin board using the 40-inch long roll of string is 400 square inches.
A rectangle is a two-dimensional shape with four sides and four right angles. It is characterized by having two equal sides that are parallel to each other and two equal sides that are perpendicular to the first two sides.
First, let's consider the perimeter of the rectangle. The perimeter is the total length of the four sides of the rectangle.
So, if we use the entire 40-inch long roll of string to form the border, it will equal the perimeter of the rectangle. We can represent the length and width of the rectangle using variables "l" and "w", respectively.
The perimeter of the rectangle can be calculated using the formula: P = 2l + 2w.
Now, we can set the perimeter equal to 40 inches and solve for l and w.
P = 40
2l + 2w = 40
l + w = 20
Next, we want to find the maximum area of the rectangle. The area of a rectangle can be calculated using the formula: A = l * w.
So, to find the maximum area, we need to maximize the product of l and w. This can be done by setting l and w equal to half of the perimeter, or 20 inches each.
l = w = 20
A = l * w
A = 20 * 20
A = 400 square inches
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Lonnie has three whole packages of pasta and 1/3 of a fourth package of pasta he writes the amount of packages of pasta as three and three over four, explain and correct Lonnie’s error
To correct the error, Lonnie should write 3 3/4 instead of three and three over four.
What is the fraction?A fraction is a mathematical concept that can be used to express a portion of a whole or a number that can be written as the ratio of two integers. In a fraction, the top number is referred to as the numerator, while the bottom number is referred to as the denominator.
Here,
Lonnie has made a mistake in writing the number of packages of pasta. The correct way to write the amount of pasta is 3 3/4 packages. The fraction 1/3 of a fourth package of pasta means that Lonnie has 1/3 of the fourth package and the three whole packages, making it a mixed number, which is a whole number and a fraction combined. To correct the error, Lonnie should write 3 3/4 instead of three and three over four.
Thus, to correct the error, Lonnie should write 3 3/4 instead of three and three over four.
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A state government gives property owners a tax rebate with the anticipation that each property owner will spend approximately p% of the rebate, and in turn each recipient of this amount will spend p% of what he or she receives, and so on. Economists refer to this exchange of money and its circulation within the economy as the “multiplier
effect.” The multiplier effect operates on the idea that the expenditures of one individual become the income of another individual. For the given tax rebate, find the total amount of spending that results, assuming that this effect continues without end.
Tax rebate: $400, p% = 75%
It should be noted that the amount based on the information will be $1600.00.
How to calculate the amountFrom the information, the state government gives property owners a tax rebate with the anticipation that each property owner will spend approximately p% of the rebate, and in turn each recipient of this amount will spend p% of what he or she receives, and so on.
We've been given the rebate as well.
Sum of an infinite Geometric Series = A/(1-r)
Rebate A $400.00
Rate 75.00%
Sum of an infinite Geometric Series = $400/(1-75%)
= $1600.00
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The width of a rectangle is 6.25x - 3.5 feet and its length is 3.5x + 6 feet. Find the perimeter of the rectangle
Answer:
see below
Step-by-step explanation:
perimeter = 2*(6.25x - 3.5 + 3.5 x +6) =2(9.75x+2.5) = 19.5x+5
Solve this trigonometric equation
Answer:
18.7 units
Step-by-step explanation:
In this right-angled triangle, you are provided with:
Two angles (i.e. 36° and 90°)
One side (i.e. Line AC, which is 11 units)
Line AB is known as the 'hypotenuse' of the right-angled triangle, which is what needs to be determined.
On the basis of 36° angle:
The side opposite (i.e. Line AC) is known as the 'opposite' or 'perpendicular side'
The side adjacent (i.e. Line BC) is known as the 'adjacent' or 'base'
Trigonometric function:
The trigonometric function, which connects an angle, it's opposite side and the hypotenuse is the 'sine function':
sinФ = [tex]\frac{opposite}{hypotenuse}[/tex]
sin36° = [tex]\frac{11}{x}[/tex]
Cross-multiplication is applied:
x needs to be isolated and made the subject of the equation:
xsin36° = 11
≡ x = [tex]\frac{11}{sin36^{o}}[/tex]
∴ x = 18.7 units (Rounded off to 3 significant figures)
\text{Determine the values of all positive} \ k \ \text{ for which the series}Determine the values of all positive k for which the series \text{will converge. } \ \ \text{ Express your answer in interval notation. }will converge. Express your answer in interval notation. LaTeX: \displaystyle \underset{n
The best way is to use the Ratio Test to see that the series = ∑∞ₙ₋₁ n/5ⁿ converges.
In mathematics, convergence definition is the property (some described by myriad series and functions) that it approaches its limit more and more distinctly as the arguments (variables) of the function increase or decrease, or as the number of terms in the series increases.
For example, the function y = 1/x converges to zero as x increases. Even in this case, the final value of x doesn't affect the value of y to actually be zero, and the marginal value of y is zero, since y can be made arbitrarily small by choosing a large enough "x". The line y = 0 (x-axis) is known as the asymptote of the function.
According to the Question:
Let aₙ= n/5ⁿ. If lim(n→∞)
|an+1|/ |an| <1, the Ratio Test will imply that
∑∞ₙ₋₁ aₙ = ∑∞ₙ₋₁ n/5ⁿ converges.
Now,
aₙ₊₁ = n + 1/ 5ⁿ⁺¹
= n + 1 /5.5ⁿ.
Therefore,
since these terms are positive,
|aₙ₊₁|/|aₙ| = n + 1 /5⋅5ⁿ
⇒ n +1/ 5ⁿ → 1/5 as n→∞
Hence,
∑∞ₙ aₙ = ∑∞ₙ₋₁ n/5ⁿ converges.
Full Question:
How do you test the series (n/5ⁿ ) from n = 1 to infinity for convergence? Determine the values of all positive, for which the series. Determine the values of all positive k for which the series. Express your answer in interval notation will converge. Express your answer in interval notation.
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Question 16 of 25
Which is a correct expansion of (2x + 3)(2x² - 5)?
A. 2x 2x² + 2x (-5)+3 2x+3•(-5)
OB. 2x 2x²+3 2x² + 2x² (-5) + 3 • (−5)
OC. 2x 2x²+2x (-5)+3.2x²+3• (-5)
The correct expansion of the given expression would be = 2x 2x²+2x (-5)+3.2x²+3• (-5). That is option C.
How to determine the correct expression of expansion?The given expression of equations;
(2x + 3)(2x² - 5). That is the product of 2x+3 and 2x²-5
= 2x *2x² + 2x*(-5) + 3*2x²+3×(-5)
= 4x³ - 10x+ 6x²-15
= 10x⁵ -10x-15.
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Answer:c
Step-by-step explanation:
did it
PLEASE HELP!! (Click on Image for question)
Answer:
S = 75 T = 105Step-by-step explanation:
S by Vertically Opposite angle ruleT 180-75 =105 by corresponding angles8 Ones Is Equivalent To 80 Tenths. Divide 80 Tenths By 9 Ones On The Algorithm. Then Multiply And Subtract To Show How Many Tenths You Have Left.
We have 72-tenths left.
What is a Fraction?Any number of equal parts is represented by a fraction, which also represents a portion of a whole. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.
To divide 80 tenths by 9 ones, we first convert the 9 ones to tenths. 9 ones is equivalent to 90 tenths.
Next, we divide 80 by 90:
80 / 90 = 0.8888... (rounded to four decimal places)
To multiply, we multiply 0.8888... by 9:
0.8888... * 9 = 8
Finally, to subtract, we subtract 8 from 80:
80 - 8 = 72
So, we have 72-tenths left.
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The Tour de France is not a 3500 km race, it is a 3500 km cycling race. The diameter of the bike wheels used in the race must be between 55 cm and 75 cm. To find the minimum number of rotations
The minimum number of rotations required for a 3500 km race is 52,800 rotations.
This is calculated by dividing the total distance of the race, 3500 km, by the circumference of the wheel, which is 2πr, where r is the radius of the wheel. The radius of the wheel must be between 27.5 cm (half of 55 cm) and 37.5 cm (half of 75 cm). So, the minimum number of rotations is given by 3500/(23.14r), where r is the minimum radius of the wheel. Substituting in r = 27.5 cm, we get the minimum number of rotations required for a 3500 km race as 52,800.
To arrive at this result, we must first calculate the circumference of the wheel, which is given by 2πr, where r is the radius of the wheel. Since the diameter of the wheel must be between 55 cm and 75 cm, the radius of the wheel must be between 27.5 cm (half of 55 cm) and 37.5 cm (half of 75 cm).
We then divide the total distance of the race, 3500 km, by the circumference of the wheel, which is given by 2πr. Substituting in the minimum radius of the wheel, 27.5 cm, we get the minimum number of rotations required for a 3500 km race as 52,800.
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27,45,75,… find the 6th term
Answer:
141
Step-by-step explanation:
First, you need to identify the pattern. As we have 3 terms, the pattern is +18 then +30. So, we can determine the next term is +18. 75 + 18 = 93. 93 is the 4th term. We can also determine the next term is +30. 93 + 30 = 123. 123 is our 5th term. Based off of what we know, we can determine the next term will be +18. 123 + 18 = 141. This proves our 6th term is 141.
I hope this helped. If this isn't correct, I apologize. This is based off of the 3 terms shown. If this helped, leave a heart and leave stars.
Write an equation that you can use to find the value of x.
Perimeter of triangle: 16 in.
An equation that you can use is 16=
.
Answer:
16 = 3x
Step-by-step explanation:
We are here given a equilateral triangle in which each side length measure is " x " .
By perimeter we mean the sum of all the side lengths of the figure.
By question , we have each side length as x ,
So its perimeter would be ,
x + x + x = 3x
But it is given that the perimeter is 16in . So they must be equal .
Hence our required equation is ,
16 = 3x
and if we want to solve out for x , divide both the sides by 3 ,
x = 16/3
and we are done!
9.5% of Undergraduate students study abroad. 60% of those who study abroad are female. 49 % of those who do not study abroad are female. calculate probability of a female student studying abroad .
The probability that the student is female and studying abroad is equal to 0.057. It means 5.7% of student is female studying abroad.
Given,
Undergraduate students who study abroad = 9.5% = 0.095 undergraduate
female students who travel for study. = 0.60
male undergraduates who travel for study. = 0.40
undergraduate female students who do not study abroad. = 0.49
Those male undergraduates who do not study abroad. = 0.51
Probability refers to potential. It is a field of mathematics that generally examines how the random events happen. The value is expressed as a number between 0 and 1. To determine how likely an event is to occur, probability has been introduced in mathematics.
We know that ,
the probability that the student is female and studying abroad =
0.60 * 0.095 = 0.057
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Vito uses 999 liters of water to water 242424 flower pots. He is wondering how many liters of water (w)(w)left parenthesis, w, right parenthesis it would take to water 404040 flower pots. He assumes he'll use the same amount of water on each pot.
Liters of water (w) it would take to water 40 flower pots, if it took 9 liters of water to water 24 flower pots when assuming same amount of water is used on each pot is 15.
Therefore the answer is 15.
To find the amount of water Vito would need to water 40 flower pots, we can use the following formula:
w = (9 liters) * (40 pots) / (24 pots)
Simplifying:
w = 15 liters
So, Vito would need 15 liters of water to water 40 flower pots, assuming he uses the same amount of water on each pot.
--The question has some errors, answering to the question below--
"Vito uses 9 liters of water to water 24 flower pots. He is wondering how many liters of water (w) it would take to water 40 flower pots. He assumes he'll use the same amount of water on each pot."
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What is the relationship between DE and AC? There are two properties to state, be sure to state both.
The required 2 properties to describe the relationship between DE and AC are 1. DE || AC and 2. DC = AC / 2.
What are Similar triangles?Similar triangles are those triangles that have similar properties,i.e. angles and proportionality of sides.
Here,
From the figure,
AD = BD and BE = EC
It implies that D and E are the midpoints of the side AB and BC,
So, 1. for the given triangle line joining the midpoints of the triangle always parallel to the third side of the triangle.
DE || AC
And when DE || AC then the measure of DE is equal to half of the measure of AC.
DC = AC / 2
Thus, the required 2 properties are 1. DE || AC and 2. DC = AC / 2.
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What is the unit rate for 2/3 pound for every 1/4 table spoon?
The unit rate for 2/3 pound for every 1/4 table spoon will be 2.667 pounds per table spoon.
What is the rate?The rate is the ratio of the amount of something to the unit. For example - If the speed of the car is 20 km/h it means the car travels 20 km in one hour.
In 1/4 table spoon, there is 2/3 pound. Then the units rate is given by the division of the numbers 2/3 and 1/4. Then the rate is given as,
Rate = (2/3) ÷ (1/4)
Rate = (2/3) x (4/1)
Rate = 8 / 3
Rate = 2.667 pounds per table spoon
The unit rate for 2/3 pound for every 1/4 table spoon will be 2.667 pounds per table spoon.
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Manisha designed a table cloth in the shape of a square of side 54cm . She wants to decorate its boundaries by sticking a lace around it . Fing the cost of putting lace around the table cloth at the rate of ₹8.5 per meter.
So the total cost of tying the lace around the tablecloth is $18.36.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical phrase with two equal sides separated by an equal sign is called an equation. An example of an equation is 4 + 6 = 10.
Here,
The length of the boundary of the square table cloth is 4 times its side length, so the length of the boundary is 4 * 54 cm = 216 cm.
To convert the length from centimeters to meters, we divide by 100:
216 cm / 100 = 2.16 meters
Finally, to find the cost of sticking the lace around the table cloth, we multiply the length of the lace by the cost per meter:
2.16 meters * ₹8.5 per meter = ₹18.36
So the cost of sticking the lace around the table cloth is ₹18.36.
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which expression is the factorization of x2 10x 21? (x 3)(x 7) (x 4)(x 6) (x 6)(x 15) (x 7)(x 1
Option A is the correct answer. The expression is (x+3)(x+7).
The given equation is x²+10x+21
we have to find the roots of the equation
x²+10x+21 =0
x²+3x+7x+21
x(x+3)+7(x+3)
(x+3),(x+7)
Now, we need to remember to factorize the given expression, x²+10x+21, and have to choose two numbers when you add them you get "10" and when you multiply them you get "21".
These numbers are:
7 and 3
Because:
7+3=10
7*3=21
Therefore, you get that the factorization of the expression is the following:
(x+3)(x+7)
We can conclude that this factorization matches the first option.
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2.
Quadrilateral ABCD is a rhombus. Given that mZEDA=35º, what are the measures of mZAED,
mZDAE, and mZBCE ? Show your work.
B
Answer:
For quadrilateral ABCD,
m∠AED = 145°
m∠DAE = 145°
m∠BCE = 145°
Consider the following diagram.
ABCD is a rhombus.
Here, the measure of angle EDA=35º
From the figure we can observe that,
∠AED + ∠EDA =180° ................(Linear pair of angles)
⇒ ∠AED = 180° - 35°
⇒ ∠AED = 145°
Also,
∠DAE + ∠EDA = 180° (Linear pair)
⇒ ∠DAE = 180° - 35°
⇒ ∠DAE = 145°
Now we find m∠BCE
We can observe that ∠BCE and ∠DAE are opposite angles .
So, ∠BCE = ∠DAE
⇒ m∠BCE = 145°
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The complete question is:
Quadrilateral ABCD is a rhombus. Given that m∠EDA=35º, what are the measures of m∠AED, m∠DAE, and m∠BCE
the size of an equilateral triangle are 6 cm long calculate the vertical height of the triangle
Answer:
6
Step-by-step explanation:
Let x be the vertical height
area of triangle=1/2×6×6=18
1/2×3×x=18/2
1.5x=9
x=6
if she drove back home using the same path she took out to the university and arrives 7.1 h after she first left home, what was her average speed for the entire trip, in kilometers per hour?
Her average speed for the entire trip, in kilometers per hour, is equal to 2d / (7.1 * 3600) * 3600 km/h
Let's assume that the total distance of the round trip is d kilometers and that she drove at a constant speed of v km/h for the entire trip. The time it takes for her to travel the entire distance at speed v is given by t = d/v.
Since she drove back home using the same path she took out to the university, her average speed for the entire trip must be equal to her speed on the way out and back. Therefore, the total time it took for her to complete the round trip is 2t = 2d/v.
Since the total time it took for her to complete the round trip is 7.1 hours, we can set up an equation:
2d/v = 7.1 hours
Converting hours to seconds and solving for v, we have:
v = 2d / (7.1 * 3600) km/s
Finally, converting to km/h, we get:
v = 2d / (7.1 * 3600) * 3600 km/h
Therefore, her average speed for the entire trip, in kilometers per hour, is equal to 2d / (7.1 * 3600) * 3600 km/h
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(a)[2 pts] what is the notation of the sample mean? find the sample mean. (b)[3 pts] find the five-number summary of the sample.
a) Sample mean is arithmetic average of data values. The sample mean of provide data values is 10.
b) The five-number summary of the sample is minimum = 4, Q1 = 4.5, median = 9 , Q3 = 15.5 and maximum= 16.
The population mean is denoted by greek letter, μ and sample mean is a random variable; which is written as x-bar and x-bar stands for individual values it takes. The sample mean is a statistic measure obtained by calculating the arithmetic mean of sample values ( values of variable in sample). The sample mean formula is: x-bar = ( Σxᵢ) / n
x-bar represents the “sample mean”Summation notation, Σ, which means “sum up”xᵢ, all of the x-values or data values n means the number of values in the sampleNow, we have to calculate sample mean of following data values, 12,8,15,16,5,4.
Sum of values, Σ xi = 12 + 8 + 15 + 5 + 4 + 16 = 60
Number of values = 6
So, Sample mean, = ( Σ xi ) / n = 60/6 = 10
The five-number summary includes following :
Minimum data value.Q₁ (the first quartile ).Median.Q₃ (the third quartile).maximum data value.So, Steps to determine the five-number summary:
Put your numbers in ascending order.Determine minimum( smallest number) and maximum (largest number) value.Determine the median. The median is the middle number, in case of odd number of data values and in case even set of data the meadian is equals to average of the (n/2)ᵗʰ and the (n/2 + 1)ᵗʰ terms.Place parentheses around the numbers above and below the median.Determine Q₁ and Q₃. Q₁ is median in the lower half of the data, and Q₃ is median for the upper half of data.Now, the sample set is 12,8,15,16,5,4. Arrange the data values in ascending order, 4,5,6,12,15,16. So, Minimum value
= 4 , Maximum value = 16 ,Median = mean of 6 and 12 = (6 + 12)/2 = 9. The vales written as(4, 5, ) 6, 12, (15, 16 ). The value of first quartile, Q₁ = median of lower ( 4,5) = (4+5)/2
= 9/2 = 4.5. Similarly, Third quartile, Q₃
= (15+16)/2= 31/2 = 15.5. Thus, the five-numer summary is minimum = 4, Q₁
= 4.5, median = 9 , Q₃ = 15.5 and
maximum = 16.
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Complete question:
Consider the sample set 12,8,15,16,5,4 and answer the below questions:
(a)[2 pts] what is the notation of the sample mean? find the sample mean.
(b)[3 pts] find the five-number summary of the sample.
PLS HELP HOMEWORK DUE NOW
Answer:
two plus two equals five
Step-by-step explanation:
Iara makes salad dressing by mixing 8 88 spoonfuls of oil and some vinegar. The tape diagram shows the ratio of oil to vinegar. A tape diagram with 2 tapes of unequal lengths. The first tape has 2 equal parts. A curved bracket above the first tape is labeled Oil. The second tape has 1 part of the same size as in the first tape. A curved bracket below the second tape is labeled Vinegar. A tape diagram with 2 tapes of unequal lengths. The first tape has 2 equal parts. A curved bracket above the first tape is labeled Oil. The second tape has 1 part of the same size as in the first tape. A curved bracket below the second tape is labeled Vinegar. Complete the table. Original ratio Amount (spoonfuls) Oil 8 88 Vinegar 1 11 Total dressing 3 33
Answer:
Step-by-step explanation:
Based on the information in the tape diagram and table, we can see that the ratio of oil to vinegar in Iara's salad dressing is 8 to 1. This means that for every 8 spoonfuls of oil, she uses 1 spoonful of vinegar.
To calculate the amount of oil and vinegar in the dressing, we can use the following formula:
amount = original ratio * total amount of dressing ÷ (original ratio + 1)
For the oil, the formula would be:
oil amount = 8 * 33 ÷ (8 + 1) = 8 * 33 ÷ 9 = 88 spoonfuls
And for the vinegar, the formula would be:
vinegar amount = 1 * 33 ÷ (8 + 1) = 1 * 33 ÷ 9 = 11 spoonfuls
So the final answer is:
Oil: 88 spoonfuls
Vinegar: 11 spoonfuls
Evaluate the expression for the given value of the variables.
0.7d - 2.1f=
d= 15, f= 3
0.7d - 2.1f = Answer?
The value of the expression for the given condition is 4.2.
What is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's bis as follows:
Expression: (Math Operator, Number/Variable, Math Operator)
Given expression,
0.7d - 2.1f
and d = 15, f = 3
substitute the values,
0.7d - 2.1f
=> 0.7(15) - 2.1(3)
=> 10.5 - 6.3 = 4.2
Hence the value of the expression is 4.2.
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whats the probability of suriving the second try given his survival in the first try if he doesn't spin the cylinder
It is not possible to determine the probability of survival on the second try if the cylinder is not spun, as the outcome of the first try has no bearing on the outcome of the second try if the cylinder is not spun.
The cylinder serves to randomly distribute the bullet among the chambers, so if the cylinder is not spun, the bullet will remain in the same chamber, and the outcome of the second try will be determined by the initial placement of the bullet in the cylinder.
In a typical scenario where a revolver with a single bullet is used, the probability of survival on the first try is 1/6, and the probability of survival on the second try (assuming the cylinder is spun) is also 1/6. However, without spinning the cylinder, the outcome of the second try is fixed and cannot be determined probabilistically.
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how to do question b, please
A. The linear relationship can be expressed by the equation, 3y = 5x + 10
B. For 25 kg, the height is 45 cm
For 52 kg, the height is 90 cm
C. For 60 cm, the mass is 34
For 80 cm, the mass is 46
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The two point form of the equation of a straight line is,
y-y₁ = (y₂-y₁)/(x₂-x₁)*(x-x₁)
Given that,
The scatter plot,
which shows the linear relationship,
And passes through the points,
(10, 20), (40, 70)
the equation of line can be written as,
y - 20 = (70-20)/(40-10)*(x-10)
y - 20 = 50/30*(x-10)
y - 20 = 5/3*(x-10)
3y - 60 = 5x - 50
3y = 5x + 10
A. The linear relationship,
3y = 5x + 10
B. If x = 25, we can substitute this value into the equation to find the corresponding value of y:
3y = 5 x 25 + 10
3y = 125 + 10
3y = 135
Dividing both sides of the equation by 3:
y = 45
So, if x = 25, then y = 45.
similarly, the value of y for x = 25 is, 90
In the same manner,
when,
For y = 60 x will be 34
And for y = 80 x will be 46
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