(a) To represent a treasure box having a ring, Isabel can use a range of values from 44 to 101. b) The percentage is 40%.
(a) To represent a treasure box having a ring, Isabel can use a range of values from 44 (exclusive) to 101 (inclusive). This range includes all values greater than or equal to 44 up to and including 100. Since the probability of a ring is 57%, any random number generated within this range will correspond to a treasure box containing a ring.
(b) Let's analyze the simulation results and determine the percentage of the 10 simulated treasure boxes that had a ring:
Treasure box 1: Random number 27 (not within the range for a ring)
Treasure box 2: Random number 74 (within the range for a ring)
Treasure box 3: Random number 59 (within the range for a ring)
Treasure box 4: Random number 52 (within the range for a ring)
Treasure box 5: Random number 2 (not within the range for a ring)
Treasure box 6: Random number 96 (within the range for a ring)
Treasure box 7: Random number 34 (not within the range for a ring)
Treasure box 8: Random number 33 (not within the range for a ring)
Treasure box 9: Random number 51 (within the range for a ring)
Treasure box 10: Random number 18 (not within the range for a ring)
Out of the 10 simulated treasure boxes, 4 had a ring (treasure boxes 2, 3, 4, and 9). Therefore, the percentage of the 10 simulated treasure boxes that had a ring is (4/10) * 100 = 40%.
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Write the equation of the line in fully simplified slope-intercept form.
Answer:
ddd
Step-by-step explanation:
answerr to 4p+7p+3+7p+3
Answer:
18p+6
Step-by-step explanation:
What is the midline equation of the function h(x) = -4 sin (x- pi/4)
Answer:
\(y = \boxed0\)
Step-by-step explanation:
we are given a sin function
\( \displaystyle h(x) = - 4 \sin(x -\pi /4) \)
we want to figure out the midline of the function graphically The midline of a sinusoidal function is the horizontal line that passes exactly in the midline of its extreme value however since we a function recall that,
\( \displaystyle f(x) = a \sin(bx -c) + d\)
where the midline is
\(y = d\)to figure out the midline rewrite the function
\( \displaystyle h(x) = - 4 \sin(x -\pi /4) + 0\)
therefore the midline is
\(y = \boxed0\)
Carson invested $850 in an account paying an interest rate of 5.7% compounded
daily. Assuming no deposits or withdrawals are made, how much money, to the
nearest dollar, would be in the account after 6 years?
Answer:
$850×5.7/100=48.45
850+48.45=898.45
898
Answer: 1197
Step-by-step explanation:
Jack walked up a hill at a speed of $(x^2-11x-22)$ miles per hour. Meanwhile, Jill walked a total distance of $(x^2-3x-54)$ miles in $(x 6)$ hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour
Jack and Jills' speed in miles per hour is 4
How to determine the speed in miles per hour?The given parameters are:
Jack speed = x^2-11x-22
Jill distance = x^2-3x-54 and time = x + 6
Speed is calculated as:
Speed = Distance/time
So, we have:
Jill speed = x^2-3x-54/x + 6
Factorize the numerator
Jill speed = (x + 6)(x - 9)/x + 6
Cancel the common factor
Jill speed = x - 9
Both speeds are equal.
So, we have:
x^2-11x-22 = x - 9
Collect like terms
x^2-11x - x -22 + 9 = 0
Evaluate
x^2 - 12x - 13 = 0
Factorize the expression
(x + 1)(x - 13) = 0
Solve for x
x = -1 or x = 13
x cannot be negative.
So, we have:
x =13
Substitute x =13 in Jill speed = x - 9
Jill speed = 13 - 9
Evaluate
Jill speed = 4
Hence, their speed in miles per hour is 4
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Find the rejection region for a one-dimensional chi-square test of a null hypothesis concerning p1, p2, . . . pk if k = 4 and ? = .01.
a ?2 > 15.086
b ?2 > 0.115
c ?2 > 13.277
d ?2 > 11.345
Therefore, any test statistic greater than 13.277 would lead to rejection of the null hypothesis at the 0.01 level of significance that is option C.
For a one-dimensional chi-square test with k categories and a significance level of ? = .01, the rejection region is given by the upper ?/2 = 0.005 quantile and the lower ?/2 = 0.005 quantile of the chi-square distribution with k-1 degrees of freedom.
For k = 4 and ? = .01, the degrees of freedom is 3. Using a chi-square table or a calculator, the upper 0.005 quantile of the chi-square distribution with 3 degrees of freedom is approximately 13.277.
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Compute the following values of (X, B), the number of B-smooth numbers between 2 and X. (a)ψ(25,3) (b) ψ(35, 5) (c)ψ(50.7) (d) ψ(100.5)
ψ(25,3) = 1ψ(35,5) = 3ψ(50,7) = 3ψ(100,5) = 7
The formula for computing the number of B-smooth numbers between 2 and X is given by:
ψ(X,B) = exp(√(ln X ln B) )
Therefore,
ψ(25,3) = exp(√(ln 25 ln 3) )ψ(25,3)
= exp(√(1.099 - 1.099) )ψ(25,3) = exp(0)
= 1ψ(35,5) = exp(√(ln 35 ln 5) )ψ(35,5)
= exp(√(2.944 - 1.609) )ψ(35,5) = exp(1.092)
= 2.98 ≈ 3ψ(50,7) = exp(√(ln 50 ln 7) )ψ(50,7)
= exp(√(3.912 - 2.302) )ψ(50,7) = exp(1.095)
= 3.00 ≈ 3ψ(100,5) = exp(√(ln 100 ln 5) )ψ(100,5)
= exp(√(4.605 - 1.609) )ψ(100,5) = exp(1.991)
= 7.32 ≈ 7
Therefore,ψ(25,3) = 1ψ(35,5) = 3ψ(50,7) = 3ψ(100,5) = 7
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Find the volume of the solid. PLEASE HELPPPPPPPP
Answer:
V≈743.25
Step-by-step explanation:
V=5
12tan(54°)ha2=5
12·tan(54°)·4·182≈743.24624
Which equation represents a line which is perpendicular to the line 2 – 2y = 2?
Oy= 2x + 1
y=-x-5
Submit Answer
Oy= *x+8
y = -2x + 5
Pls help ASAP
Answer:
\(y = \frac{1}{2} x - 1\)
Step-by-step explanation:
Hope it is helpful....
yesterday, 28 students took a test. the arithmetic mean of those 28 scores was 72 points. two students who were absent yesterday took the test this morning, and the arithmetic mean of all 30 test scores is 73 points. if the difference of the two scores from this morning is 22 points, what is the lower score from this morning?
Let's assume the sum of the scores of the 28 students who took the test yesterday is 28 * 72 = 2016.
We know that the sum of the scores of all 30 students is (28 * 72) + x + y, where x and y are the scores of the two students who took the test this morning.
We also know that the mean of all 30 scores is 73. So we can write an equation:
[(28 * 72) + x + y]/30 = 73
Multiplying both sides by 30, we get:
2016 + x + y = 2190
So, x + y = 174.
We are given that the difference of the two scores is 22, so we can write another equation:
y - x = 22
Solving these two equations simultaneously, we get y = 98 and x = 76.
Therefore, the lower score from this morning is 76.
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HELP PLEASE!!! ASAP!
Answer: Triangles a used for those types of things because they have flat bottoms making it easy to put on structures and also the have sides going downwards causing things like rain and leaves to fall off unlike flat roof which would keep the rain and leaves on until you went up there to clean it yourself
Step-by-step explanation: I don't know if this is the best answer, but it will probably help for writing that response
Jadon has 4 feet of ribbon to decorate pockets. He needs 1/3 foot of ribbon to decorate each pocket. How many pockets will jadon be able to decorate?.
Answer:
4 feet of ribbon ÷ 1/3 foot riboon = 12 pockets
If b is a rational number, and x + b is rational, what must be true about x?
Answer:
X is a rational number
Step-by-step explanation:
if b is not rational X+b will not be rational
find all values of θ in the interval [0°. 360°) that have the given function value. cos θ = -√2/2
θ=
-√2/2 is 120° and 240°.
The value of θ in the interval [0°, 360°) that has the given function value cos θ = -√2/2 is 120° and 240°.
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HELP ME ASAP FOR BRANETEST * LYCANROC*
Answer:
9+6+9+6
Area: 9×6
Please correct me if im mistaken, multiply those together with a calculator.
Answer:
9+6+9+6
Area: 9×6
Step-by-step explanation:
9+6+9+6=?
area:
Sophia was asked to find the original dimension of a reduced hexagon. A smaller hexagon has a top side length of 1.2 inches and bottom side length of x inches. A larger hexagon has a top side length of 7.2 inches and bottom side length of 9 inches. Sophia found that the enlarged hexagon’s dimensions were just 6 more than the original hexagon, thus x = 3. What was Sophia’s error? Sophia should have found the number the dimensions were multiplied by. Sophia should have divided 9 and 6 . Sophia should have set up a proportion to solve for x. Sophia should have multiplied 7.2 and 1.2. Sophia is correct and did not make an error.
Answer:
a and c
Step-by-step explanation:
i just did it
Answer:
a and c
Step-by-step explanation:
Please can I have an explanation also, I am terrible at these kinds of questions!
Q- A bag contain red, yellow and blue beads.
The ratio of red beads to yellow beads is 2:3
The ratio of yellow beads to blue beads is 5:4
Work out what fraction of the beads are red.
Answer:
The fraction of the beads that are red is
Step-by-step explanation:
Algebraic Expressions
A bag contains red (r), yellow (y), and blue (b) beads. We are given the following ratios:
r:y = 2:3
y:b = 5:4
We are required to find r:s, where s is the total of beads in the bag, or
s = r + y + b
Thus, we need to calculate:
\(\displaystyle \frac{r}{r+y+b} \qquad\qquad [1]\)
Knowing that:
\(\displaystyle \frac{r}{y}=\frac{2}{3} \qquad\qquad [2]\)
\(\displaystyle \frac{y}{b}=\frac{5}{4}\)
Multiplying the equations above:
\(\displaystyle \frac{r}{y}\frac{y}{b}=\frac{2}{3}\frac{5}{4}\)
Simplifying:
\(\displaystyle \frac{r}{b}=\frac{5}{6} \qquad\qquad [3]\)
Dividing [1] by r:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+y/r+b/r}\)
Substituting from [2] and [3]:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{1+3/2+6/5}\)
Operating:
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{1}{\frac{10+3*5+6*2}{10}}\)
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{10+15+12}\)
\(\displaystyle \frac{r}{r+y+b}=\displaystyle \frac{10}{37}\)
The fraction of the beads that are red is \(\mathbf{\frac{10}{37}}\)
1/7 x 1/7 = 1/14 ? I dont know if im doing this right.
Answer:
You are correct it is 1/49 I calculated it :) -Your friend, Bill Cipher
Step-by-step explanation:
Answer:
1/49
Step-by-step explanation:
You have to multiply the bottom parts
1. After a pay raise, Kate's monthly salary increased from $3500 to $3780. Find the percentage increase in her pay raise.
Answer:
8%
Step-by-step explanation:
1. Subtract the larger number from the smaller:
3780 - 3500 = 280
2. Divide the result from step 1 by the FIRST salary amount:
280 ÷ 3500 = 0.08 NOTE: Order Matters!!!
3. Change the decimal to a percent
Over the period of a year, Julie’s net worth decreased. Which of the following could be true? a. Julie’s assets and liabilities decreased by the same amount. b. Julie’s assets and liabilities increased by the same amount. c. Julie’s assets increased by more than her liabilities. d. Julie’s assets decreased by more than her liabilities. Please select the best answer from the choices provided Group of answer choices A B C D
The situation that could be true about the reduction in Julie's net worth will be; d). Julie's assets decreased by more than her liabilities.
What is 'Net Worth?'Net Worth' is characterized as 'the value of all the assets one possesses after subtracting all his/her debts or liabilities.'
In the given situation, the decrease in Julie's net worth would denote that the total of her liabilities for that financial year exceeded her total assets given in the question.
However another possibility could be that the decrease faced in her liabilities is higher than the decrease in her assets leading her net worth to be negative.
Hence, option D is the best answer.
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Solve the equation
W^2+2w-15=0?
Answer:
w = 3,−5
Step-by-step explanation:
If ur solving for w then that i presume.
Kendra has a painting canvas that is 26 inches wide by 33 inches high. She painted a red rose, which covered 50% of the canvas.
What was the area of the canvas which was covered by the red rose?
The area of the canvas which was covered by the painted red rose is given by the equation A = 429 inches²
What is the Area of a Rectangle?The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle
Area of Rectangle = Length x Width
Given data ,
Let the area of the rectangular canvas be R
Let the area of the painted rose be A
Now , the painted rose covers 50 % of the canvas
And , the length of the canvas L = 33 inches
The width of the canvas = 26 inches
So , the area of the rectangular canvas = 33 x 26
The area of the rectangular canvas = 858 inches²
Now , the area of the painted rose = ( 1/2 ) x area of the rectangular canvas
So , the area of the painted rose A = ( 1/2 ) x 858
The area of the painted rose A = 429 inches²
Hence , the area of the painted rose is 429 inches²
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Hexadecimal numbers use the 16 "digits": 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F. a) What is the base 10 value of the 3-digit hexadecimal number 2E5? Show your work. b) Find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters, like ACC. (Note: Part (b) has nothing to do with part (a) of this problem.) Write your answer as a simplified fraction, not a decimal or percent. Explain briefly how you got it.
The base 10 value of the 3-digit hexadecimal number 2E5 is 741. The probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.
a) To convert a hexadecimal number to its decimal equivalent, you can use the following formula:
(decimal value) =\((last digit) * (16^0) + (second-to-last digit) * (16^1) + (third-to-last digit) * (16^2) + ...\)
Let's apply this formula to the hexadecimal number 2E5:
(decimal value) = \((5) * (16^0) + (14) * (16^1) + (2) * (16^2)\)
= 5 + 224 + 512
= 741
Therefore, the base 10 value of the 3-digit hexadecimal number 2E5 is 741.
b) To find the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters, we need to determine the number of valid options and divide it by the total number of possible 3-digit hexadecimal numbers.
The number of valid options with only letters can be calculated by considering the following:
The first digit can be any letter from A to F, giving us 6 choices.The second digit can also be any letter from A to F, including the possibility of repetition, so we have 6 choices again.The third digit can also be any letter from A to F, allowing repetition, resulting in 6 choices once more.Therefore, the total number of valid options is 6 * 6 * 6 = 216.
The total number of possible 3-digit hexadecimal numbers can be calculated by considering that each digit can be any of the 16 possible characters (0-9, A-F), allowing repetition. So, we have 16 choices for each digit.
Therefore, the total number of possible 3-digit hexadecimal numbers is 16 * 16 * 16 = 4096.
The probability is then calculated as:
probability = (number of valid options) / (total number of possible options)
= 216 / 4096
To simplify the fraction, we can divide both numerator and denominator by their greatest common divisor, which in this case is 8:
probability = (216/8) / (4096/8)
= 27 / 512
Therefore, the probability that a 3-digit hexadecimal number with repeated digits allowed contains only letters is 27/512.
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Sixty people are invited to a party
Answer:
Need more information. What do you mean "Sixty people are invited to a party" ?
Step-by-step explanation:
Answer:
Can you please put more information
An investment opportunity is offering an annual interest rate of 11% compounded
continuously. How much should you invest initially if you want to have twelve thousand
dollars after nine years? Do not include a dollar sign in your answer. Round your answer
to the nearest cent.
You should invest approximately 4,225.95 initially to have 12,000 after nine years at an annual interest rate of 11% compounded continuously.
The formula for the future value of an investment with continuous compounding is:
\(FV = PV \times e^{(r\times t)\)
where PV is the present value (initial investment), r is the annual interest rate in decimal form, t is the time period in years, and e is the mathematical constant approximately equal to 2.71828.
In this problem, we want to find PV, so we can rearrange the formula to solve for it:
\(PV = FV / e^{(r\times t)\)
Substituting the given values:
\(PV = 12000 / e^{(0.11 \times 9)\)
Using a calculator:
PV ≈ 4225.95
Therefore, you should invest approximately 4,225.95 initially to have 12,000 after nine years at an annual interest rate of 11% compounded continuously.
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The regular price of a baseball hat is $16.85. If Ernesto buys the baseball hat on sale for 20% off the regular price, how much change will
receive after paying with $20?
Answer:
$6.52
Step-by-step explanation:
The price of the hat would be $13.48 after the discount.
So the amount of change he would receive would be 20-13.48 which is $6.52
WILL MARK BRAINLIEST!!! Please solve the whole page with work!! It will be very much appreciated and I will heart the correct comment and give it 5 stars
Answer:
its only 5 points tho :c
Step-by-step explanation:
The lengths of the sides of a triangle are given. Classify each triangle as acute, right, or obtuse.
7.) 4, 5, 6
8.) 11, 12, 15
9.) 30, 40, 50
The given triangles are obtuse = 36 m, right angled = 225 m and right angled = 2500 m.
What is Triangle?Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.
7.) This triangle is obtuse.
To see this, we can use the Pythagorean theorem:
4*4 + 5*5 = 16 + 25 = 41
6*6 = 36 m
Since 41 > 36, we know that the triangle is obtuse.
8.) This triangle is right.
To see this, we can again use the Pythagorean theorem:
11*11 + 12*12 = 121 + 144 = 265
15*15 = 225 m
Since 265 = 225 + 40, we know that the triangle is right.
9.) This triangle is also right.
We can use the same method as before:
30*30 + 40*40 = 900 + 1600 = 2500
50*50 = 2500 m
Since 2500 = 2500, we know that the triangle is right.
Therefore, The given triangles are obtuse , right angled and right angled.
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plzzz answer asap!! The SkyWheel has a diameter of 181 feet. What is the radius? (Don't round and just write the numerical answer, no units)
Answer:
181 ÷ 2
= 90.5 feet
...........
After its Saturday competition, a swim team ordered three orders of pizza rolls and five orders of fried pickles for a total cost of $22. After its Tuesday night competition, the team ordered six orders of pizza rolls and two orders of fried pickles for a total cost of $28. what is the price of each appetizer? show your work.
Please help
Answer:
pizza rolls = $4
fried pickles = $2
Step-by-step explanation:
3 x 4 = 12
5 x 2 = 10