3
5
6
ft = 3
5
6
× 1 ft = 3
5
6
× 12 in Write 3
5
6
feet as a single fraction greater than one. Then, complete the expression PLEASE HELP ASAP
The complete expression of given question is :
3 5/6 feet = 23/6 feet = 46 inches.
What do you mean by term Mixed Fraction ?A mixed fraction is a type of fraction that consists of a whole number and a proper fraction. For example, 3 1/2, 2 2/3, and 5 3/8 are all mixed fractions. The whole number part represents a number of whole units, while the fraction part represents a part of a unit.
To write 3 5/6 feet as a single fraction greater than one, we can convert the mixed number to an improper fraction. To do this, we multiply the whole number (3) by the denominator of the fraction (6), and add the numerator (5), then put the result over the denominator. Like this:
3 5/6 = (3 x 6 + 5)/6 = 23/6
Therefore, 3 5/6 feet can be written as the improper fraction 23/6 feet.
To complete the expression, we can use the fact that 1 foot is equal to 12 inches. Therefore, we can convert 23/6 feet to inches by multiplying it by 12:
23/6 feet × 12 inches/1 foot = 23/6 × 12 inches
Simplifying the fraction, we get:
23/6 × 12 inches = 276/6 inches = 46 inches
Therefore, the expression is:
3 5/6 feet = 23/6 feet = 46 inches.
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Which worksheet helps you figure out how much you can spend and invest?
Answer:
A monthly budget worksheet cause it shows your income and expenditure, so you are able to spend within your budget and it helps you know your disposable income
Peter observes that 75% of the birds at his bird feeder are finches. The results from 20-simulation trials of the model showed that finches are a
guaranteed bird type for 80% of the birds.
Based on the results from the simulation trials, what should Peter conclude about his hypothesis if he predicted that birds at his bird feeder woul
continue with the same percentage of finches as before?
A. Reject the hypothesis.
B. Conclude the alternate hypothesis was correct.
C. Conclude that 80% of the birds at the bird feeder should always be finches.
D. Conclude the hypothesis was correct.
Option A "Reject the hypothesis" is the appropriate conclusion in this case.
As per the question,
Based on the results from the simulation trials, Peter should conclude that his hypothesis should be rejected.
The simulation showed that finches are a guaranteed bird type for only 80% of the birds, which is lower than the observed percentage of 75% finches at Peter's bird feeder.
This indicates that the predicted percentage of finches continuing at the same rate is not supported by the simulation results.
Therefore, option A "Reject the hypothesis" is the appropriate conclusion in this case.
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I need help with this please
Step-by-step explanation:On a coordinate plane you move 9 to the right and 2 up
68. The product of a nonzero integer and -1 has the same value as the square of the integer. What is the integer?
(F) -2
(G) -1
(H) 0
(J) 1
(K) 2
Answer:
(G) -1
Step-by-step explanation:
Let the integer be [tex]x[/tex].
Then, it folloes that [tex]-x=x^2[/tex].
Because [tex]x \neq 0[/tex], dividing both sides by [tex]x>/tex] yields [tex]x=-1[/tex].
A submarine is 1,275.5 feet below sea level. It dives down 215.5 feet and then rises 125.5 feet. Finally, the sub dives down another 122.4 feet. Assume sea level is at an elevation of 0 feet.
After diving dοwn 215.5 feet, rising 125.5 feet, and diving dοwn anοther 122.4 feet, the submarine is at a depth οf 1,063.1 feet belοw sea level.
What is the arithmetic οperatiοn?The fοur fundamental οperatiοns οf arithmetic are additiοn, subtractiοn, multiplicatiοn, and divisiοn οf twο οr mοre quantities. Included in them is the study οf numbers, especially the οrder οf οperatiοns, which is impοrtant fοr all οther areas οf mathematics, including algebra, data management, and geοmetry. The rules οf arithmetic οperatiοns are required in οrder tο answer the prοblem.
Starting at a depth οf 1,275.5 feet belοw sea level, the submarine dives dοwn an additiοnal 215.5 feet:
1,275.5 - 215.5 = 1,060 feet belοw sea level
Then the submarine rises 125.5 feet:
1,060 + 125.5 = 1,185.5 feet belοw sea level
Finally, the submarine dives dοwn anοther 122.4 feet:
1,185.5 - 122.4 = 1,063.1 feet belοw sea level
Therefοre, after diving dοwn 215.5 feet, rising 125.5 feet, and diving dοwn anοther 122.4 feet, the submarine is at a depth οf 1,063.1 feet belοw sea level.
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What is the answer to
2/3 of 90.
Answer:
60
Step-by-step explanation:
An easy way to find the answer is when you see of that basically means to times(X) so that means 2/3 X 90 = 60
x 0 1 2 3 4 5 Total
P(x) .05 .34 .26 .20 .10 .05 1.00
The mean of the given data set is 2.11.
What is mean?
Mean is a statistical term which is in general meaning is average. Sum of the given data and then dividing it by the number of terms is the mean of the given data set.
In the given problem ,
x p(x)
0 .05
1 .34
2 .26
3 .20
4 .10
5 .05
So the mean is ∑x (p(x))
= (0× .05)+ (1× .34)+(2× .26)+(3× .20)+(4× .10)+(5× .05)
= .34 +0.52+0.6+0.4+0.25
= 2.11
Hence, the mean is 2.11.
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Writing equations of lines
three notebook and five pencils cost N$ 30. one notebook and ten pencils also cost N$30. taking the cost of a note to be n dollars and the cost of a pencil to be p dollars, write two simultaneous equations and find the price of one notebook and one pencil.
Thus, the one notebook' price n = $6 and the price of one pencil is p = $2.4.
Explain about the 2 variable linear equation:Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5. Once an equation is given in this format, finding both intercepts is rather simple (x and y). When attempting to solve systems involving two linear equations, this form is also quite helpful.
Let cost of a notebook to be 'n' dollars
Let the cost of a pencil to be 'p' dollars,
Then, the system of equations are-
3n + 5p = 30 ..eq 1
n + 10p = 30 ....eq2
multiply eq 2 with 3
3n + 30p = 90 ...eq 3
Subtract eq 3 from eq 1
3n + 5p - 3n - 30p = 30 - 90
25p = 60
p = 2.4
n + 10(2.4) = 30
n = 30 - 24
n = 6
Thus, the price of one notebook n = $6 and the price of one pencil is p = $2.4.
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You are in a soapbox racing competition. In each heat, 10 cars race and the positions of the cars are randomly assigned. What is the probability that you are chosen to be in the first or second position of the heat in which you are racing. Explain
The probability of being in the first or second position in a heat with 10 cars can be calculated by finding the total number of ways that the cars can be arranged in the heat and then dividing by the number of ways that result in being in the first or second position.
There are 10 cars in the heat, so there are 10 possible positions for the first car, and once that car has been assigned a position, there are 9 possible positions remaining for the second car, and so on. Therefore, the total number of ways that the cars can be arranged is:
10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
This is equivalent to 10! (read as "10 factorial"), which is the product of all the positive integers from 1 to 10.
To be in the first or second position, there are 2 possible positions out of the 10 total positions in the heat. So, the number of ways to be in the first or second position is:
2 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1
which is equivalent to 2 x 9!, since we only need to consider the arrangements of the remaining 9 cars after we have assigned ourselves to one of the first two positions.
Therefore, the probability of being in the first or second position is:
(2 x 9!) / 10!
Simplifying this expression, we get:
(2 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1) / (10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1)
which simplifies further to:
2 / 10
or:
1 / 5
So, the probability of being in the first or second position is 1/5 or 0.2, which means that there is a 20% chance of being in one of those positions in any given heat.
Anthony purchased a $227 stereo system at Wrigley's Department Store. He paid $47 down and agreed to pay the balance in 12 equal monthly payments. The finance charge was 9.6% simple interest. What was the amount of each payment
Answer:
Calculation:
Total Amount: $227
Down Payment: $47
Interest Rate: 9.6% (0.096)
Number of Payments: 12
Remaining Balance: $227 - $47 = $180
Remaining Balance with Interest: $180 + (9.6/100 * $180) = $197.68
Amount of Payment: $197.68 / 12 = $16.47
Answer: The amount of each payment is $16.47.
The temperature of one furnace is 1400°C and cools at a rate of 2.5°C per minute. The temperature of another furnace is 1200°C and is heated at a rate of 1.5°C per minute. Write an equation that models when the temperature of the two furnaces will be equal.
Answer:
1400 - 2.5t = 1200 + 1.5t
t = 50
Step-by-step explanation:
Find the sample size needed so that a 99.5% confidence interval will have margin of error of 1.5.
Keep in mind that without the population standard deviation, it is impossible to provide an exact sample size. However, this formula will give you a good starting point.
To find the sample size needed for a 99.5% confidence interval with a margin of error of 1.5, we can use the formula:
n = (Z * σ / E)^2
where n is the sample size, Z is the Z-score corresponding to the desired confidence level, σ is the population standard deviation, and E is the margin of error.
For a 99.5% confidence interval, the Z-score is approximately 2.807 (from a standard normal distribution table). Since we do not have the population standard deviation (σ), we will need to estimate it using a sample standard deviation or use a conservative approach by assuming the maximum possible value. For now, let's assume we have an estimated standard deviation.
n = (2.807 * σ / 1.5)^2
Solve for n by plugging in the estimated standard deviation (σ) and then round up to the nearest whole number, as you cannot have a fraction of a sample.
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what is the value of X6.75+3/8 X equals 13 1/4
Answer:
[tex]x = 1 \frac{49}{57} [/tex]
Step-by-step explanation:
[tex]6.75x + \frac{3}{8} x = 13 \frac{1}{4} [/tex]
Multiply the whole equation by 8, to eliminate the fractions:
[tex]54x + 3x = 106[/tex]
[tex]57x = 106[/tex]
Divide both parts of the equation by 57:
[tex]x = \frac{106}{57} = 1 \frac{49}{57} [/tex]
You are the casting director for a local production of the play Rent. There are six distinct parts available, but you have tventy-three volunteers. In how many different ways can this play be cast?
Hamilton had a 21-man company in its first (currently only ongoing) production. There are 720 ways that can play as cast.
Hamilton had a 21-man company in its first (currently only ongoing) production, so we really know a little about our army of volunteers (all of which I think are good enough to hold the show to a high standard), but that's not necessarily the case. The problem - Thomas Kail and Andy Blanken buehler use their team of 11 in their Broadway productions to great effect, but a team of the same size. It's an art choice.
When it comes to the main body, there are actually 14 named locations, with a lot of work through singing and/or dialogue, in addition to the many things the members use from Kail products. This prevents all volunteers from being an essential part because that leaves us only 3 people in total which seems a bit lackluster in some big productions.
One solution is to have some minor roles played by the band members - for example James Madison, King George III, Peggy Schuyler and Maria Reynolds - so now we have 9 key characters and 8 groups that we need to succeed. compact performance.
My preference is to follow a Broadway production, so we have 10 main actors, so the ensemble is 7 people. If necessary, with the help of a small part of the main cast, we can expand the group in many performances.
Therefore, there are 10!/7! = 720 ways .
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In a class of 20 children, 8 had one sister, 6 had 2 sisters. The mean number of children was 1. how many children had no sisters
There are no children in the class who have no sisters. This is because the mean number of children is 1, and some children have more than one sibling to Balance out those who have only one.
To solve this problem, we need to use some basic principles of statistics and probability. Let's start by identifying the key information provided in the problem. We know that there are 20 children in the class, and that some of them have sisters. Specifically, 8 children have one sister and 6 children have two sisters. We also know that the mean (average) number of children is 1, which means that on average, each child has one sibling.
To find out how many children had no sisters, we can use the following formula:
Total number of children - (number of children with one sister x 1) - (number of children with two sisters x 2) = number of children with no sisters
Using the values from the problem, we get:
20 - (8 x 1) - (6 x 2) = 0
This means that there are no children in the class who have no sisters. While this may seem counterintuitive, it's important to remember that the mean number of children is 1, which means that some children must have more than one sibling in order to balance out the others who have only one.
In summary, the answer to the question is that there are no children in the class who have no sisters. This is because the mean number of children is 1, and some children have more than one sibling to balance out those who have only one.
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last five different math vocabulary that can be used to describe each given expression 6(t+2)-8
The five different math vocabulary that can be used to describe each given expression 6(t+2)-8
CoefficientConstantDistributive propertyLinear expressionSimplifyExpression: A combination of numbers, variables, and operators that can be evaluated or simplified.
Coefficient: A number that is multiplied by a variable.
Distributive Property: The property that allows you to multiply a factor by each term inside a set of parentheses.
Simplify: To reduce an expression to its simplest form.
Linear: An expression that has no exponents or other operations besides addition, subtraction, and multiplication by a constant.
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1. State the converse, contrapositive, and inverse of the conditional statement “A positive integer is a prime only if it has no divisors other than 1 and itself”.
Answer:
Step-by-step explanation:
A contrapositive statement changes "if not p then not q" to "if not q to then, not p." The converse of the conditional statement is “If Q then P.” The contrapositive of the conditional statement is “If not Q then not P.” The inverse of the conditional statement is “If not P then not Q.” if p → q, p → q, then, ∼ q →∼ p ∼ q →∼ p
A Note about Notation: Be careful with the notation a|b
. This does not represent the rational number ab
. The notation a|b
represents a relationship between the integers a
and b
and is simply a shorthand for “ a
divides b
.” "Divides" as in a|b
is a relation (true or false), while "divided by" as in ab
or a/b
is an operation (results in a number).
The definition for “divides” can be written in symbolic form using appropriate quantifiers as follows: A nonzero integer m
divides an integer n
provided that (∃q∈Z)(n=m⋅q).
The half life of a drug in the body is 5 hours. By what factor b is the amount ofdrug in the body multiplied by for each passing hour
Answer:
The factor by which the amount of drug in the body is multiplied by each passing hour can be found using the formula:
b = 1/2^(t/h)
where:
t = time elapsed (in hours)
h = half-life of the drug
In this case, the half-life of the drug is 5 hours, so we have:
h = 5 hours
For each passing hour, the time elapsed increases by 1 hour, so we can calculate the factor b after 1 hour as:
b = 1/2^1/5
b = 0.63
This means that after 1 hour, the amount of drug in the body is multiplied by 0.63. After 2 hours, it is multiplied by 0.63 again, and so on.
What is the volume of this sphere?
Use 3.14 and round your answer to the nearest hundredth.
Submit
99 ft
cubic feet
Answer:
[tex]v≈41033.52 \: {ft}^{3} [/tex]
Step-by-step explanation:
Given:
A sphere
r (radius) = 99 ft
π ≈ 3,14
Find: V (volume) - ?
[tex]v = \frac{4}{3} \pi {r}^{2} [/tex]
[tex]v = \frac{4}{3} \times 3.14 \times {99}^{2} ≈41033.52 \: {ft}^{3} [/tex]
Given that Z does not = 0, which of the following is equivalent to Z to the 4th root?
The equivalent function is [tex]z^{1/4}[/tex].
What is a function?
Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealized relationship between two changing quantities.
Here, we have
Given: Z ≠ 0
We have to find the equivalent function to [tex]\sqrt[4]{z}[/tex].
We concluded that
[tex]\sqrt[4]{z}[/tex] = [tex]z^{1/4}[/tex]
Hence, the equivalent function is [tex]z^{1/4}[/tex].
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sandra tossed a coin 3 times.wich tree diagram shows al the possible outcomes of the coin landing heads up or tails up
8 possible sequences in total. Thus, A tree with 8 outcomes, option 1 is correct.
What is a tree diagram?A diagram with a structure of branching connecting lines, representing different processes and relationships.
Here is a tree diagram showing all the possible outcomes of Sandra tossing a coin three times:
In the diagram, each branch represents the outcome of one toss of the coin. The letters "H" and "T" represent "heads" and "tails," respectively. Each path from the top of the tree to a bottom node represents a possible sequence of coin tosses, and there are 2³ = 8 possible sequences in total.
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Complete question:
Sandra tossed a coin 3 times. Which tree diagram shows al the possible outcomes of the coin landing heads up or tails up.
A tree with 8 outcomes
A tree with 12 outcomes
A tree with 9 outcomes
A tree with 6 outcomes
A hand of 10 cards is dealt from a well-shuffled standard 52-card deck of cards. What is the probability that the hand contains 3 Jacks?
a) 0.048617
b) 0.018617
c) 0.038617
d) 0.068617
e) 0.028617
A hand of 10 cards is dealt from a well-shuffled standard 52-card deck of cards. The probability that the hand contains 3 Jacks is 0.018617. So correct option is b.
Describe combinations?In mathematics, combinations refer to the ways of selecting a group of items from a larger set without considering the order of the items. Combinations are used to count the number of possible outcomes in situations where order does not matter, such as selecting a group of people to form a committee, or selecting a subset of items from a larger collection.
The number of possible combinations of r items selected from a set of n items is given by the formula:
C(n, r) = n! / (r! * (n - r)!)
where n! represents the factorial of n, which is the product of all positive integers up to n, and r! represents the factorial of r.
To solve this problem, we need to find the probability of selecting exactly 3 jacks out of 10 cards from the 52-card deck.
The probability of selecting a jack from the deck is 4/52, since there are four jacks in the deck. The probability of not selecting a jack is 48/52, since there are 48 non-jack cards in the deck.
Using the formula for the probability of a specific combination of events occurring (nCr), where n is the total number of cards in the deck, and r is the number of jacks we want to select:
P(3 jacks) = (4/52)³(48/52)⁷ × 10C3
10C3 is the combination of 10 cards taken 3 at a time, which is equal to 10!/(3!7!) = 120.
Therefore, P(3 jacks) = (4/52)³(48/52)⁷ × 120 ≈ 0.018617
So, the answer is b) 0.018617.
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[UGRENT]
What equation is equivalent to log₃(x+5) = 2?
Answer:
x=4
Step-by-step explanation:
We can solve for x by using the definition of logarithms.
log₃(x+5) = 2 can be rewritten in exponential form as 3² = x + 5.
Simplifying 3² gives 9, so we have:
x + 5 = 9
Subtracting 5 from both sides, we get:
x = 4
Therefore, the equivalent equation is x = 4.
HELP PLSSSSSSSSSSSSSSSS
Answer:
H
Step-by-step explanation:
% of 11 year olds is 24
% of 12 year olds is 16
then ratio of
11 year olds : 12 year olds
= 24 : 16 ( divide both parts by 8 )
= 3 : 2
Mary Lou Mason purchased baby bottles for $4.56, baby formula for $12.45, and a pacifier for $2.13. For all purchases she must pay the state sales tax of 6.5 percent and the county tax of 1.5 percent. What is the tax on her purchases? Show all of your work.
Answer:
$1.53
Step-by-step explanation:
You want to know the total tax on purchases of $4.56, 12.45, and 2.13 if the tax rate is the sum of 6.5% and 1.5%.
TaxThe tax is the product of the tax rate and the total of purchases. The tax rate will be the sum of the state and county tax rates:
6.5% +1.5% = 8% = 8/100
The attached calculation shows the tax is $1.53 after rounding to cents.
The tax rate on Mary Lou Mason's purchases is $1.53.
What is meant by rate?
In mathematics, rate usually refers to the ratio of two quantities that have different units of measurement.
To calculate the total tax on Mary Lou Mason's purchases, we need to first calculate the total cost of her purchases, including both the prices of the items and the sales tax.
The total cost of Mary Lou Mason's purchases before taxes is:
$4.56 + $12.45 + $2.13 = $19.14
To calculate the sales tax, we need to multiply the total cost of the purchases by the sum of the state and county tax rates:
6.5% + 1.5% = 8%
So the sales tax rate is 8%.
To calculate the total tax on Mary Lou Mason's purchases, we multiply the total cost of the purchases by the sales tax rate:
$19.14 x 8% = $1.53
Therefore, the tax on Mary Lou Mason's purchases is $1.53.
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URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
The correct answer is (B) Function A is decreasing, while function B is also decreasing AND Function A is steeper.
Please help ASAP!! and show step by step pls worth 35 points! and brainliest :)
After talking back to Grandma Sinko, Grandson Rinko is tasked with organizing Grandma Sinko's huge collection of silverware. He begins by sorting the forks. If he puts them in groups of 4, there are three forks left over. If he puts them in groups of 6, there are still three forks left over. If he puts them in groups of 12, how many forks will be left over?
if Grandson Sinko puts the forks in groups of 12, there will be no forks left over
Define least common multipleThe least common multiple (LCM) of two or more integers is the smallest positive integer that is a multiple of each of the given integers. In other words, the LCM is the smallest number that is divisible by all the numbers in a given set.
the least common multiple of 4 and 6, is 12. So if Grandson Sinko puts the forks in groups of 12, there will be no forks left over.
To find the number of forks, we can use the fact that the number of forks is three more than a multiple of both 4 and 6. Let's call the number of forks x. Then we have:
x ≡ 3 (mod 4)
x ≡ 3 (mod 6)
Using the Chinese remainder theorem, we can combine these congruences to get:
x ≡ 3 (mod 12)
This means that the number of forks is three more than a multiple of 12. So we can write:
x = 12n + 3
where n is an integer. To find the value of n, we can plug in the values of x from the first two congruences:
x ≡ 3 (mod 4) => x = 4m + 3
x ≡ 3 (mod 6) => x = 6k + 3
Setting these two expressions for x equal to each other, we get:
4m + 3 = 6k + 3
Simplifying, we get:
2m = 3k
Since 2 and 3 are relatively prime, this means that m must be a multiple of 3 and k must be a multiple of 2. So we can write:
m = 3p
k = 2q
where p and q are integers. Plugging these into the expressions for x, we get:
x = 4m + 3 = 4(3p) + 3 = 12p + 3
x = 6k + 3 = 6(2q) + 3 = 12q + 3
Since x is the same in both expressions, we can set them equal to each other:
12p + 3 = 12q + 3
Simplifying, we get:
p = q
So we can write:
x = 12p + 3
where p is an integer. Therefore, if Grandson Sinko puts the forks in groups of 12, there will be no forks left over.
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A trapezoid has an
area of 35 mm².
What is the height
of the trapezoid?
8 mm
6 mm
The height of the trapezoid is 7 mm.
A quadrilateral with one set of parallel opposite sides is referred to as a trapezium.
To find the height of a trapezoid when the area and the lengths of the parallel bases are given, we can use the formula:
h = 2A / ([tex]b_1 + b_2[/tex])
where
h is the height,
A is the area,
[tex]b_1[/tex] and [tex]b_2[/tex] are the lengths of the parallel bases.
As per given information in the question.
Using the given area of 35 mm² and the lengths of the parallel bases,
For [tex]b_1[/tex] = 8 mm and [tex]b_2[/tex] = 6 mm
we get:
h = 2 x 35 / (8 + 6) = 7 mm
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