A 5’6 tall student cast a shadow 8 foot long at the same time a tree cast a 30 foot shadow how tall is the tree
Answers
Answer: its gotta be 26 feet and 6 inches
Related Questions
Let X be normally distributed with mean μ = 120 and standard deviation σ = 20. Use Table 1. a. Find P(X ≤ 86). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(X ≤ 86) b. Find P(80 ≤ X ≤ 100). (Round "z" value to 2 decimal places and final answer to 4 decimal places.) P(80 ≤ X ≤ 100) c. Find x such that P(X ≤ x) = 0.40. (Round "z" value to 2 decimal places.) x d. Find x such that P(X > x) = 0.90. (Round "z" value to 2 decimal places and final answer to 1 decimal place.) x
Answers
The following parts can be answered by the concept of Standard deviation.
a. We find that P(X ≤ 86) is approximately 0.0004.
b. We find that P(80 ≤ X ≤ 100) is approximately 0.1151.
c. We find that x such that P(X ≤ x) = 0.40 corresponds to a z-score of approximately -0.25. Therefore, x is approximately μ + (z-score × σ) = 120 + (-0.25 × 20) = 115.
d. Using Table 1, we find that x such that P(X > x) = 0.90 corresponds to a z-score of approximately 1.28. Therefore, x is approximately μ + (z-score × σ) = 120 + (1.28 × 20) ≈ 146.4.
a. To find P(X ≤ 86), we first need to calculate the z-score, which is given by (86 - μ) / σ. Plugging in the given values, we get (86 - 120) / 20 = -1.7. Using Table 1, we look for the closest z-score to -1.7, which is -1.69, and corresponding to it, we find the probability 0.0459. However, since we need to find P(X ≤ 86), we need to add the area to the left of -1.69 in the table, which is 0.0004.
b. To find P(80 ≤ X ≤ 100), we first need to calculate the z-scores for 80 and 100 using the same formula as above. The z-score for 80 is (80 - 120) / 20 = -2, and the z-score for 100 is (100 - 120) / 20 = -1. Plugging these values into Table 1, we find the probabilities corresponding to -2 and -1, which are 0.0228 and 0.1587 respectively. To find the probability for the range 80 ≤ X ≤ 100, we subtract the probability corresponding to -2 from the probability corresponding to -1, which is 0.1587 - 0.0228 = 0.1359.
c. To find x such that P(X ≤ x) = 0.40, we need to find the z-score corresponding to a cumulative probability of 0.40 in Table 1. The closest z-score to 0.40 is -0.25. We can then use the formula z = (x - μ) / σ and rearrange it to solve for x: x = μ + (z-score × σ) = 120 + (-0.25 × 20) = 115.
d. To find x such that P(X > x) = 0.90, we first need to find the z-score corresponding to a cumulative probability of 0.90 in Table 1, which is approximately 1.28. We can then use the formula z = (x - μ) / σ and rearrange it to solve for x: x = μ + (z-score × σ) = 120 + (1.28 × 20) ≈ 146.4, rounded to one decimal place. Therefore, x is approximately 146.4.
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Which best describes an atom?
Answers
Answer:
c
Step-by-step explanation:
atom is a particle of matter that uniquely defines a chemical element. An atom consists of a central nucleus that is surrounded by one or more negatively charged electrons. The nucleus is positively charged and contains one or more relatively heavy particles known as protons and neutrons.
A party man is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg How much of each should be added to obtain 60 kg of a mix.that will sell for $1.90 per kg?
Answers
Given:
Nuts = $2.50
Cereal mixture = $1
Find -: How much each should be added.
Sol:
Obtain = 60 kg.
Let nuts = x kg
Cereal = y kg
To obtain 60 kg means:
\(\begin{gathered} x+y=60 \\ \\ y=60-x \end{gathered}\)Pricing at $1.90 per kg means:
\(\begin{gathered} x(2.50)+y(1)=60(1.90) \\ \\ 2.5x+y=114 \end{gathered}\)Put the value of "y" then:
\(\begin{gathered} 2.5x+60-x=114 \\ \\ 1.5x=114-60 \\ \\ 1.5x=54 \\ \\ x=\frac{54}{1.5} \\ \\ x=36 \end{gathered}\)Then the value of "y" is:
\(\begin{gathered} y=60-x \\ \\ y=60-36 \\ \\ y=24 \end{gathered}\)So,
In the mixture 36 kg of nuts and 24 kg of cereal.
A computer software retailer used a markup rate of 70%. Find the selling price of a computer game that cost the retailer $25.
Answers
Answer:
$42.50
Explanation:
Cost of the game = $25
The markup rate = 70%
Therefore, the selling price will be:
\(\begin{gathered} =25+(70\%\text{ of 25)} \\ =25+(0.7\times25) \\ =25+17.5 \\ =42.50 \end{gathered}\)The selling price of the computer game is $42.50.
4 strikeouts to 10 strikeouts. What's the percent of change?
Answers
Answer:
40%
Step-by-step explanation:
Answer:
Step-by-step explanation:
40%
Marcus mixed 15 cups of vinegar and 6 cups of water to
make his cleaner. Is the relationship between the vinegar and water in the recipe and the vinegar and water in Marcus'
cleaning solution a proportional relationship? Explain. (You may explain with words and diagrams.)
The recipe for a homemade glass cleaner indicates to use a ratio of 1 part vinegar to 4 parts water.
Answers
Answer:
The directions for a homemade glass cleaner call for 1 part vinegar to 4 parts water. Mr. Gilbert mixed 2 cups of vinegar with 5 cups of water. Did he use a correct ratio of vinegar to water? Explain.
What is Limit of StartFraction 4 minus 3 x + x squared Over 2 x squared + 1 EndFraction as x approaches infinity? 0 One-half 2 nonexistent
Answers
The limit of the given function as x approaches infinity is 2.
What is infinity?Infinity is a concept used in mathematics to represent a quantity that is unbounded or without limits. It is often used to describe a value or set of values that increases or decreases indefinitely without ever reaching a final value.
According to question:To find the limit of the given function as x approaches infinity, we need to determine the behavior of the function as x becomes very large (positive or negative).
Let's examine the expression inside the limit as x approaches infinity:
StartFraction 4 - 3x + x² Over 2x² + 1 EndFraction
As x approaches infinity, the highest power term in the numerator and denominator dominates. In this case, the term x² dominates in the numerator and denominator. So we can simplify the expression by dividing both numerator and denominator by x²:
Start Fraction 4/x² - 3/x + 1 Over 2 + 1/x² End Fraction
As x approaches infinity, both the terms 3/x and 1/x² become very small and can be ignored. Therefore, the expression approaches:
Start Fraction 4/x² - 0 + 1 Over 2 + 0 End Fraction
which simplifies to:
Start Fraction 4 Over 2 End Fraction = 2
Therefore, the limit of the given function as x approaches infinity is 2.
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Need solution for 7, 9, 11 only
For Problems 7-10, find the vector. 7. AB for points A(3, 4) and B(2,7) 8. CD for points C(4, 1) and D(3,5) 9. BA for points A(7,3) and B(5, -1) 10. DC for points C(-2, 3) and D(4, -3) 11. Highway Res
Answers
To find the vector AB for points A(3, 4) and B(2, 7), we subtract the coordinates of point A from the coordinates of point B. AB = B - A = (2, 7) - (3, 4) = (2 - 3, 7 - 4) = (-1, 3).
Therefore, the vector AB is (-1, 3). To find the vector CD for points C(4, 1) and D(3, 5), we subtract the coordinates of point C from the coordinates of point D. CD = D - C = (3, 5) - (4, 1) = (3 - 4, 5 - 1) = (-1, 4). Therefore, the vector CD is (-1, 4). To find the vector BA for points A(7, 3) and B(5, -1), we subtract the coordinates of point B from the coordinates of point A.
BA = A - B = (7, 3) - (5, -1) = (7 - 5, 3 - (-1)) = (2, 4).
Therefore, the vector BA is (2, 4). To find the vector DC for points C(-2, 3) and D(4, -3), we subtract the coordinates of point C from the coordinates of point D. DC = D - C = (4, -3) - (-2, 3) = (4 - (-2), -3 - 3) = (6, -6). Therefore, the vector DC is (6, -6). Please note that the format of the vectors is (x-component, y-component).
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What is the value of the expression below? (9 divided by 3)+4(6-7)
Answers
(3) + 4(-1)
3 - 1
2
Answer:
-1
Step-by-step explanation:
(9 divided by 3) + 4 (6 - 7) =
(9 ÷ 3) + 4 (6 - 7) =
( 3 ) + 4 ( -1 ) = Multiply 4 by -1
( 3 ) ( -4 ) = Subtract
-1
Pls pls pls help meeeee
Answers
Answer:
i think it C but im not sure
Step-by-step explanation:
PLEASE HELP!!!! I NEED THIS IN 10 MINUTES!!!
Explain how to evaluate the expression 8x to the power of 2 + 25y, when x =3 and y=2
Answers
To evaluate the expression 8x^2 + 25y when x = 3 and y = 2, substitute the given values of x and y into the expression and perform the necessary calculations.
The expression 8x^2 + 25y represents a quadratic expression with terms involving x and y. To evaluate it when x = 3 and y = 2, replace x with 3 and y with 2 in the expression:
8(3)^2 + 25(2)
Simplifying the expression within parentheses:
8 * 9 + 25 * 2
Multiplying:
72 + 50
Adding:
122
Therefore, when x = 3 and y = 2, the expression 8x^2 + 25y evaluates to 122.
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Sort the numbers from LEAST TO GREATEST . > 6.82 , 6.803 , 6.650 , 6.68
Answers
Answer:
6.650, 6.68, 6.803, 6.82
Step-by-step explanation:
You just treat the decimals as you would whole numbers. Try imagineing them as whole numbers and its a lot easier like this. 6.82 and 6.68 as 682 and 668, you can clearly see 668 is lower than 682 so it comes first. Therefore, 6.68 is lower than 6.82 and comes first.
What type of symmetry does each figure have? Check all of the boxes that apply.
An oval.
line symmetry
rotational symmetry
no symmetry
Two rectangles combine to form the shape of an L.
line symmetry
rotational symmetry
no symmetry
A smiley face.
line symmetry
rotational symmetry
no symmetry
Answers
Answer:
The oval is a line and rotational symmetry.
The line shapes rectangle has no symmetry.
The smiling face is a line symmetry.
Step-by-step explanation:
Answer:
The first oval - line symmetry, rotational symmetry
The L shape - no symmetry
The smiley face - line symmetry
Step-by-step explanation:
I just took the quiz on egde2020
To travel the Erie Canal,a boat must go through locks that raise or lower the boat Traveling east , a boat would have to be lowered 12 feet at amsterdam ,11 feet at tribes hill , and 8 feet at Randall .by how much does the elevation of the boat change between Amsterdam and Randall?????
Answers
If boat must go through locks that raise or lower the boat Traveling east , a boat would have to be lowered 12 feet at amsterdam ,11 feet at tribes hill , and 8 feet at Randall . the elevation of the boat change between Amsterdam and Randall is 31 feet.
Elevation boat changeGiven :
Boat lowered at Amsterdam = - 12 feet
Boat lowered at tribes hill = - 11 feet
Boat lowered at Randall = - 8 feet
Now let calculate or determine the change in boat elevation
Change in elevation = - 12 + ( - 11 ) + ( - 8 )
Change in elevation = - 31 feet or lowered 31 feet
Therefore we can conclude that the change in the elevation boat is 31 feet.
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Find The Total Differentials Of The Following Utility Functions. A. U(X,Y)=Xαyβ B. U(X,Y)=X2+Y3+Xy
Answers
A. The total differential of the utility function U(X,Y) = X^αY^β is dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.
B. The total differential of the utility function U(X, Y) = X^2 + Y^3 + XY is dU = (2X + Y) dX + (3Y^2 + X) dY.
A. The total differential of a function represents the small change in the function caused by infinitesimally small changes in its variables. In this case, we are given the utility function U(X, Y) = X^αY^β, where α and β are constants.
To find the total differential, we differentiate the utility function partially with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.
For the partial derivative with respect to X, we treat Y as a constant and differentiate X^α with respect to X, which gives αX^(α-1). We then multiply it by the differential dX.
Similarly, for the partial derivative with respect to Y, we treat X as a constant and differentiate Y^β with respect to Y, resulting in βY^(β-1). We then multiply it by the differential dY.
Adding these two terms together, we obtain the total differential of the utility function:
dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.
This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).
B. To find the total differential of the utility function U(X, Y) = X^2 + Y^3 + XY, we differentiate each term of the function with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.
For the first term, X^2, we differentiate it with respect to X, resulting in 2X, which is then multiplied by dX. For the second term, Y^3, we differentiate it with respect to Y, resulting in 3Y^2, which is multiplied by dY. Finally, for the third term, XY, we differentiate it with respect to X and Y separately, resulting in X (multiplied by dY) and Y (multiplied by dX).
Adding these three terms together, we obtain the total differential of the utility function:
dU = (2X + Y) dX + (3Y^2 + X) dY.
This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).
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Determine f(−2) for
A piecewise function f of x in three pieces. The function is defined by part 1, which is x cubed for x less than negative 3, part 2, which is 2 times x squared minus 9 for negative 3 is less than or equal to x which is less than 4, and part 3 which is 5 times x plus 4, for x greater than or equal to 4.
−1
−6
8
9
Answers
A function assigns the value of each element of one set to the other specific element of another set. The value of the function f(-2) when the value of x is -2 is -8.
What is a Function?
A function assigns the value of each element of one set to the other specific element of another set.
First, we'll try to form the function based on the given statements
F(x) = {Part 1 : \(x^{3}\) x< -3 , Part 2 : 2\(x^{2}\) - 9 -3\(\leq\)x<4 , Part 3 : 5x+4 x\(\geq\)4 }
As the value of the function is needed to be found when the value of f(x) when x is -2, therefore, we can write the function as,
So from the piecewise function we'll use the Part 1 function to find the value of f(-2)
f(x) = \(x^{3}\)
f(-2) = \((-2)^{3}\)
f(-2) = -8
Hence, the value of the function f(-2) when the value of x is -2 is -8.
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Answer:
its -1
Step-by-step explanation:
I got it right on the test
find the volume of a cylinder with a diameter of 16 mi and a height of 5 mi
Answers
Answer: 320π or approximately 1005.31 mi
Step-by-step explanation:
The formula for the volume of a cylinder is
π r² h
we need to find the radius which is 16/2 = 8
plug in and solve
π 8² *5
π 64 *5
320π or approximately 1005.31 mi
To make a jug of plant fertilizer, Malaika uses 6 cups of water and 3 scoops of fertilizer. Bart uses 8 cups of water and 5 scoops of fertilizer. Will Malaika's and Bart's plant fertilizer have the same strength? Explain.
Answers
Answer:
No they will no have the same strength. So what I did was find a common number between them so between 8 and 6 they both can be multiplied to 24. So 6 goes into 24 4 times so I multiplied 3 times 6 and then 8 goes into 24 3 times so I multiplied 3 and 5 and so the final answer is that bart has more strong fertilizer
Step-by-step explanation:
6*4=24 4*3=12
8*3=24 5*3=15
Write the equation of the line which passes through (4 ,negative 6) and (8 ,negative 3). Write the answer in slope-intercept form
Answers
Answer:
Step-by-step explanation:
yes
Find the volume of the sphere. Either enter an exact answer in terms of pi or use 3.14 for pi
Answers
Given data:
The given radius of sphere is r=9.
The volume of the sphere is,
\(V=\frac{4}{3}\pi(r)^3\)Substitute the given values in the above expression.
\(\begin{gathered} V=\frac{4}{3}\pi\times(9)^3 \\ =972\pi \end{gathered}\)Thus, the volume of sphere is 972π.
The value where the histogram balances when supported at that point is called ____.
Answers
The value where the histogram balances when supported at that point is called the mode of the distribution.
The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.
For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.
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Different ways to solve 1/4x - 5 = 3/4x - 12
Answers
Answer:
x=14
Step-by-step explanation:
Let's solve your equation step-by-step.
1/4x−5=3/4x−12
Answer:
x = 14
Step-by-step explanation:
Method : isolating the x
Subtract 1/4x from both sides to get -5 = 2/4x - 12. Then, add 12 to both sides, 7 = 2/4x, which is also 7 = 1/2x. Solve to get x = 14.
JELLPPPPPPPPPPPPPPPPPPPPPPPPPPPP PLZZZZZ
Answers
Answer:
2x+3y+2
Step-by-step explanation:
use commutative property
7x-5x+4y-y+2
2x+4y-y+2
2x+3y+2
Which ordered pair is a solution of the equation?
-x-4y=-10
Answers
Making late payments on credit card bills has what kind of effect on a person's credit score?
a
Late payments have a negative effect on a person's credit score.
b
Late payments have a positive effect on a person's credit score.
c
Late payments do not affect a person's credit score.
Answers
Answer:
A. Late payments have a negative effect on a person's credit score.
Step-by-step explanation:
Hope this Helps!
Answer:
A late payments have a negative effect on a persons credit score
Step-by-step explanation:
A credit score is basically the trust banks have with you or the potentiality that you will pay them back. Making late payments will obviously lower the banks reliability on you to pay your bill ontime and in full.
A line is shown in the graph. What is the equation of the line?
Answers
f(x)= x^2 + 10f(x)=x
2
+10f, left parenthesis, x, right parenthesis, equals, x, squared, plus, 10
Over which interval does fff have a positive average rate of change?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
[-3,3][−3,3]open bracket, minus, 3, comma, 3, close bracket
(Choice B)
B
[-4,-1][−4,−1]open bracket, minus, 4, comma, minus, 1, close bracket
(Choice C)
C
[-3,1][−3,1]open bracket, minus, 3, comma, 1, close bracket
(Choice D)
D
[-1,2][−1,2]
Answers
Answer:
The option D represents an interval with a positive average rate of change.
Step-by-step explanation:
Let \(f(x) = x^{2}+10\), the average rate of change on the interval \([a,b]\) is represented by the definition of the secant line:
\(\bar f = \frac{f(b) -f(a)}{b-a}\) (1)
Where:
\(a\), \(b\) - Lower and upper bounds, dimensionless.
\(f(a)\), \(f(b)\) - Function evaluated at lower and upper bounds, dimensionless.
Now we proceed to check each option:
A. \(a = -3\), \(b = 3\)
\(\bar f = \frac{19-19}{3-(-3)}\)
\(\bar f = 0\)
B. \(a = -4\), \(b = -1\)
\(\bar f = \frac{11-26}{(-1)-(-4)}\)
\(\bar f = -5\)
C. \(a = -3\), \(b = 1\)
\(\bar f = \frac{11-19}{1-(-3)}\)
\(\bar f = -2\)
D. \(a = -1\). \(b = 2\)
\(\bar f = \frac{14-11}{2-(-1)}\)
\(\bar f = 1\)
The option D represents an interval with a positive average rate of change.
Answer:
It would be D
Step-by-step explanation:
Use Horner's algorithm to find p(4), where p(z) = 325 – 724 – 57'+z? -- 8z +2 2.
Answers
Using Horner's algorithm, it is found that p(4) = 946.
Horner's algorithm is a method used to evaluate a polynomial at a given value of x. It simplifies the process of calculating the value of the polynomial by reducing the number of calculations needed. To use Horner's algorithm to find p(4), where p(z) = 3z^5 – 7z^4 – 5z^3+z^2- 8z +2, follow these steps:
p(4) = 3(4)^5 – 7(4)^4 – 5(4)^3+(4)^2- 8(4) +2
p(4) = 3(4)^5 – 7(4)^4 – 5(4)^3+(4)^2- 8(4) +2
p(4) = 3(1024) – 7(256)– 5(64) + 16 - 32 +2
p(z) = 3072– 1792 – 320 + 16 - 30
p(z) = 1280 – 320 - 14
p(z) = 960 - 14
p(z) = 946
Therefore, p(4) = 946.
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Arturo recorded the grade-level and instrument of everyone in the middle school
School of Rock below.
Seventh Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
4
5
3
5
Eighth Grade Students
Instrument # of Students
Guitar
Bass
Drums
Keyboard
6
8
2
15
Based on these results, express the probability that a student chosen at random will
play the guitar as a fraction in simplest form.
Answers
The probability that a student chosen at random will play the guitar as a fraction in simplest form is 5/24
The total number of students in both seventh and eighth grades who play the guitar is 4 + 6 = 10.
The total number of students in both grades is 4 + 5 + 3 + 5 + 6 + 8 + 2 + 15 = 48.
Therefore, the probability that a student chosen at random will play the guitar is 10/48, which simplifies to 5/24.
Hence, the probability is 5/24 as a fraction in simplest form.
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Solve for x. Look at the image attached thanks.
Answers
Answer:
x=2.2
Step-by-step explanation:
You know that for triangle ABC, side AB=10, CB=2 and AD=AB+BD=10+1=11. Given that triangles ABC and AED have the same angles, they are similar triangles.
So we can use the following ratios to solve for ED=x: