A manufacturer produces dice in many different sizes. If the side length of the dice is double, then the volume of the larger dice is how many time the volume of the smaller dice?
Answer:
Here you are...
Step-by-step explanation:
If you double one of the dimensions, say change one side from 2 to 4 it doubles the volume. if you were to do this to any side, say double it, it would double the volume. ... It will make the volume 4 times as much also. the volume would go from 30 to 120.
In the written exam in Math, there are 7
short answer questions. Peter will answer three of them.
How many combinations of short answer
questions are there?
Given a Math exam with 7 short answer questions and Peter intending to answer three of them, there are a total of 35 different combinations of short answer questions he can choose.
To determine the number of combinations, we can use the concept of combinations in combinatorics. The formula for combinations is given by:
C(n, r) = n! / (r! * (n - r)!)
Where:
C(n, r) represents the number of combinations of choosing r items from a set of n items.
n! denotes the factorial of n, which is the product of all positive integers up to n.
In this case, Peter wants to answer three out of the seven questions, so we can calculate it as:
C(7, 3) = 7! / (3! * (7 - 3)!) = 7! / (3! * 4!)
Simplifying further:
7! = 7 * 6 * 5 * 4 * 3 * 2 * 1
3! = 3 * 2 * 1
4! = 4 * 3 * 2 * 1
C(7, 3) = (7 * 6 * 5 * 4 * 3 * 2 * 1) / [(3 * 2 * 1) * (4 * 3 * 2 * 1)]
After canceling out common terms, we get:
C(7, 3) = 7 * 6 * 5 / (3 * 2 * 1) = 35
Therefore, there are 35 different combinations of short answer questions Peter can choose to answer.
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an automotive manufacturer wants to know the proportion of new car buyers who prefer foreign cars over domestic. in an earlier study, the population proportion was estimated to be 0.31 . how large a sample would be required in order to estimate the fraction of new car buyers who prefer foreign cars at the 95% confidence level with an error of at most 0.03 ? round your answer up to the next integer.
The required sample size is 907.
We have,
To determine the required sample size for estimating the fraction of new car buyers who prefer foreign cars over domestic with a 95% confidence level and an error of at most 0.03, we'll use the following formula:
n = (Z² x p (1 - p)) / E²
Where:
- n is the required sample size
- Z is the Z-score for the desired confidence level (1.96 for a 95% confidence level)
- p is the estimated population proportion (0.31)
- E is the margin of error (0.03)
Step-by-step calculation:
1. Calculate Z²: 1.96² = 3.8416
2. Calculate p (1 - p): 0.31 x (1 - 0.31) = 0.2139
3. Calculate E²: 0.03² = 0.0009
4. Substitute these values into the formula: n = (3.8416 x 0.2139) / 0.0009 = 906.92
Since we need to round up to the next integer, the required sample size is 907.
Thus,
The required sample size is 907.
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hey...hey there, mind to help? ahahah please?
Answer:
Hey! I hope you're doing well, I know school is exhausting ok enough jabbering here's the answer:
Step-by-step explanation:
100ft squared. So first find the area of the rectangle which is 9*8 = 72. Formula \(A = b *h\) Now find the area of the triangle
Formula \(A = \frac{b *h}{2}\\\)
Answer: 28ft squared
Now add those areas together and you'll get= 100ft squared, hope this helps!
Answer:
28ft
follow me on insta royaltyy._m4
Step-by-step explanation:
4.
What property could you use to show that these two triangles are congruent?
Two triangles
HL
SSS
SAS
ASA
Answer:
All four
Step-by-step explanation:
SSS, SAS, ASA, and HL
MEASUREMENT
Paula stands on the side of a river and sights the opposite bank at an angle of depression of 7°. If Paula is 5. 5 feet tall,
approximately how wide is the river, to the nearest foot?
Answer:
45
Step-by-step explanation:
Based on the given conditions, formulate: \(5.5\div\text{tan}7^o\)
Calculate the approximate value: \(\frac{5.5}{0.122785}\)
Calculate: \(44.793745\)
Find the closest integer: 45
Answer: 45
Find the slope of the line that contains (10,2) and (7, -10).
Answer:
Step-by-step explanation:
(-10 - 2)/(7 - 10)= -12/-3 = 4
4 is the slope
Mr. Demers is making a drink by adding flavor drops to his water. If he puts 3 drops in a 12 ounce glass of water, how many ounces does he use PER DROP?
Answer:
Step-by-step explanation: if he puts 3 drops in a 12 ounce glass of water he should be using 4 ounces per drop 12 ounces divided by 3 drops gives you 4 ounces per drop
=======================================================
Explanation:
"Per drop" means "per 1 drop" or "for each 1 drop".
We start off with the ratio of
3 drops: 12 ounces
Divide both parts of that ratio by 3 so that "3 drops" turns into "1 drop"
Doing so gets us the new ratio of
1 drop: 4 ounces
So he uses 4 ounces per drop.
its in the question below. pls I really need help
Answer:
\(for \: a \\ \\11 \times 2 + 1 = 22 + 1 = 23 \\ 23 \times 2 + 1 = 47\\ for \: b \\ the \: third \: term \: is \: 17 \\ \frac{17 - 3}{2} = \frac{14}{2} = 7 \\ \frac{7 - 3}{2} = \frac{4}{2} = 2 \\ the \: first \: term \: is \: 2\)
Answer:
a) 23, 47 b) 2
Step-by-step explanation:
a) It gives you the pattern, so you can use it to find the next two terms:
11 x 2 + 1 = 22 + 1 = 23
23 x 2 + 1 = 46 + 1 = 47
b) It gives you the pattern, so you can use it to find the first term:
Work backwards this time because you need to find what comes before the 17.
? x 2 + 3 = 17
? x 2 = 17 - 3
? x 2 = 14
? = 14 ÷ 2
? = 7
7 is the second term. Find the first term:
? x 2 + 3 = 7
? x 2 = 7 - 3
? x 2 = 4
? = 4 ÷ 2
? = 2
The first term is 2.
30P Find the function/equation check the screenshot to answer
Answer:
the second one
Step-by-step explanation:
The statement says that you’ve triggered the penalty apr so that it has now increased to 28. 99%. What action triggered this?.
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
You failed to make the minimum payment by the due date. This is an action that can result in a message that "you've triggered the Penalty APR so that it has now climbed to 28.99%."
A charge APR is a charge that can be applied if you don't pay your bills on time. It may be set up so that future transactions may be subject to a penalty APR that is higher than the card's standard rate.
If the minimum payment was not made by the due date, Penalty APR would be applied.
But if the card also has a penalty APR and you trigger it, you will likely lose that promotional offer. Federal consumer protections that limit penalty APRs don't apply to small-business credit cards. That means issuers can be more punitive, such as applying penalty APRs sooner than 60 days after not making payments.
Therefore,
The statement says that you've triggered the Penalty APR so that it has now increased to 28.99%. What action triggered this? You failed to pay the minimum payment by the due date.
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a common everyday counting unit that is used to mean 12 of an object is a____
A common everyday counting unit that is used to mean 12 of an object is a Dozen
Dozen is derived from the Old French word "douzaine" which means twelve each. In most situations, a dozen is used to refer to a group of twelve items. The term dozen is also used in informal situations to refer to a very large number of objects. For example, one might say "I have dozens of friends!" to mean that they have a lot of friends.
Dozen is a useful term when counting items. It allows for large numbers to be easily broken down into manageable groups. For example, if you have 120 pencils, you could easily count them by saying that you have 10 dozen pencils. It can also be useful when talking about fractions. For example, instead of saying "one and a half of an item," one could say "one and a half dozen of an item."
Dozen is a common everyday counting unit that is used to mean 12 of an object. It is a useful term when counting items and when talking about fractions, and can be used in both formal and informal settings.
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please help me solve this' 2x − 4y = 6 2x + 4y = -10 (-1, -4). (-1, -2). (2, 4). (1, -2).
Answer:
(-1, -4)Step-by-step explanation:
2x − 4y = 6 ⇒ 2x = 4y + 6
2x = 4y + 6 and 2x + 4y = -10
so: 4y + 6 + 4y = -10
4y + 6 = -10
4y = -16
y = -4
2x = 4(-4) + 6 = -8 + 6 = -2
2x = -2 ⇒ x = -1
The sample space for tossing a coin 3 times is {hhh, hht, hth, htt, thh, tht, tth, ttt}. determine p(2 tails). a. 12.5% b. 37.5% c. 50% d. 75%
The probability of getting 2 tails is option (b) 37.5%
The event of "2 tails" can occur in three possible outcomes: {htt, tht, tth}, so the probability of getting 2 tails is the sum of the probabilities of these three outcomes.
Each toss of a fair coin is independent and has a 50% chance of landing tails. Therefore, the probability of each of these three outcomes is:
P(htt) = 1/2 × 1/2 × 1/2 = 1/8
P(tht) = 1/2 × 1/2 × 1/2 = 1/8
P(tth) = 1/2 × 1/2 × 1/2 = 1/8
So, the probability of getting 2 tails is:
P(2 tails) = P(htt) + P(tht) + P(tth) = 1/8 + 1/8 + 1/8 = 3/8
= 0.375
0.375 multiplied by 100% gives:
P(2 tails) = 37.5%
Therefore, the correct option is (b) 37.5%
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Which relation in the below table(s) represents a function?
The relation 2 represents a function.
In order to determine which relation in the below table represents a function, we need to first understand what a function is.A function is a relationship in which each input value corresponds to exactly one output value.
To put it another way, each x-value has one and only one y-value. The most typical method to determine whether a relation is a function is to use the vertical line test.
The vertical line test is a way to determine if a relation is a function graphically. To test if a graph is a function, we draw a vertical line through each x-value on the graph. If a vertical line crosses the graph more than once, it is not a function.
If, on the other hand, the graph passes the vertical line test and no vertical line crosses the graph more than once, it is a function.Now let's look at the table below to determine which relation is a function.
We will first plot the x and y values of each relation on a coordinate system and then apply the vertical line test to each relation.
Relation 1: x | y0 | 10 | 11 | 22 | 23 | 34 | 35 | 4Relation 1 does not represent a function since we can draw a vertical line through x = 3 and the line will cross the graph more than once.
Relation 2: x | y2 | 33 | 34 | 45 | 46 | 57 | 5Relation 2 represents a function since we can draw a vertical line through each x-value on the graph and it will only cross the graph once.
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A measuring cylinder of radius 3.5cm contains water to a height of 56cm. If this water is poured into a similar cylinder of radius 14cm, what will be the height of the water column
Answer:
3.5cm
Step-by-step explanation:
Please see attached picture for full solution.
Volume of cylinder= πr²h, where r is the radius and h is the height.
x^3*x^4=x^12 whats the answerrr
Answer:
I hope it helps it was the best I can do.
Step-by-step explanation:
-x12 + x7 = 0
Factorization:
−x7(x − 1)(x4 + x3 + x2 + x + 1) = 0
Solutions based on Jenkins–Traub algorithm:
x1 = … = x7 = 0
x8 = 1
x9 = −0.809017 − 0.587785i
x10 = −0.809017 + 0.587785i
x11 = 0.309017 − 0.951057i
x12 = 0.309017 + 0.951057i
You chose an EXPONENTIAL model with the equation:
y=4.04·0.56x
In the context of the tennis balls:
(1) What does 4.04 mean?
(2) What does 0.56 mean?
Equation: y = 4.04·0.56^x
(1) What does 4.04 mean?Solution: Here in the exponential model, the height is 4.04 feet when the bounce number is 0. It represents the initial height. (original, starting value)
(2) What does 0.56 mean?Solution: 0.56 represents the represents the growth rate of how much the height will decrease with the amount of bounces. (growth factor)
Extra's :x represents the unit of measure of bounces.
General equation
y=ab^x#1
Here
a is 4.04So it represents the initial value where x is 0 as any number⁰ is 1#2
0.56 is bit's the rate of change with respect to xIf f(x)=x^2 what is g(x)
A. g(x)=1/9x^2
B. g(x)=(1/3x)^2
C. g(x)=3x^2
D. g(x)=1/3x^2
Answer:
the answer is B
Step-by-step explanation:
At the end of 1st Quarter of 2009 the median price of a single-family home in Charleston/No. Charleston was $184,990. Single-family home prices in Charleston/No. Charleston decreased from the 1st Qtr of 2008 by 8.15%. NOTE: Depreciation means a negative value for r. (a). Estimate the median price of a single-family home in the 1st Qtr of 2008.
(b). If the median price of a single-family home falls at the same rate for the next 2 years, estimate the median price of a single-family home in the 1st Qtr of 2011.
The estimated median price of a single-family home in Charleston/No. Charleston in the 1st Quarter of 2008 is $201,048. If the median price continues to decrease at the same rate for the next two years, the estimated median price of a single-family home in the 1st Quarter of 2011 would be $144,458.
(a) To estimate the median price of a single-family home in the 1st Quarter of 2008, we need to calculate the original price before the 8.15% decrease. Let's assume the original price was P. The price after the decrease can be calculated as P - 8.15% of P, which translates to P - (0.0815 * P) = P(1 - 0.0815). Given that the end of 1st Quarter of 2009 median price was $184,990, we can set up the equation as $184,990 = P(1 - 0.0815) and solve for P. This gives us P ≈ $201,048 as the estimated median price of a single-family home in the 1st Quarter of 2008.
(b) If the median price of a single-family home falls at the same rate for the next two years, we can calculate the price for the 1st Quarter of 2011 using the estimated median price from the 1st Quarter of 2009. Starting with the median price of $184,990, we need to apply an 8.15% decrease for two consecutive years. After the first year, the price would be $184,990 - (0.0815 * $184,990) = $169,805.95. Applying the same percentage decrease for the second year, the price would be $169,805.95 - (0.0815 * $169,805.95) = $156,012.32. Therefore, the estimated median price of a single-family home in the 1st Quarter of 2011 would be approximately $144,458.
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A survey was done that asked people to indicate whether they preferred to ride a
street bike or a mountain bike. The results of the survey are shown in the two-way
table.
Amjed is making a relative frequency table from this data.
What operation should Amjed perform to determine the relative frequency of a
person over 30 years old who prefers to ride a mountain bike? 1) Subtract 25 from 462, then divide by 462. 2) Divide 25 by 462. 3) Add 180 to 462, then divide by 463. 4) Divide 180 by 462
The operation that Amjed should perform to determine the relative frequency of a person over 30 years old who prefers to ride a mountain bike is given as follows:
2) Divide 25 by 462.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes, hence it is the same as a relative frequency.
The total number of people is given as follows:
58 + 164 + 215 + 25 = 462.
Out of these people, 25 prefer mountain bike, hence the relative frequency is given as follows:
25/462.
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A cheetah can run at its top speed for about 25 seconds. Complete the table to represent a cheetah running at a constant speed.
Answer:
Put a picture Then I can help hun
Step-by-step explanation:
Answer:
ok this was a good one so here
Step-by-step explanation:
time (seconds)
distance (meters)
speed (meters per second)
4 120 30
25 750 30
9 270 30
Kaleigh binge-watched her favorite 30-minute episodes. Which representation does NOT show the amount of time Kaleigh spent watching TV at this rate?
x
x
A
C
Time (minutes)
4x D
Time Spent Watching TV
180
150
120
90
60
30
0
B y = 30x, where x represents the number of episodes watched and y represents the amount of time in minutes.
2468
Number of Episodes
Kaleigh spent 180 minutes watching 4 episodes.
Time Spent Watching TV
Episodes, x
2
4
6
8
Time (minutes), y
60
120
180
240
Answer:
Representation B does not show the amount of time Kaleigh spent watching TV at this rate. Representation B only shows the total time she would have spent based on the number of episodes watched, assuming each episode is 30 minutes long. It does not take into account the actual time it took for Kaleigh to watch the episodes, which may have varied depending on how quickly she watched them.
Step-by-step explanation:
Multiply.
-7.8
-56
-1
56
5
please help
\(-7.8\left(-56\right)=436.8\)
\(-7.8\left(-1\right)=7.8\)
\(-7.8\cdot \:56=-436.8\)
\(-7.8\cdot \:5=-39\)
the solid e is the region that is within the sphere x2 y2 z2 = 16z, above both the plane z= 7 and the cone z = x2 y2 . give the integral in spherical coordinates: e y dv,
Answer:
i have no idea, i tried to figure out the best i could i hope you find the answer
Step-by-step explanation:
the integral in spherical coordinates is:
∭e y dv = ∫(θ=0 to 2π) ∫(φ=cone to plane) ∫(ρ=0 to √7) ρ^2 sin(φ) dρ dθ dφ
To express the integral ∭e y dv in spherical coordinates, we need to determine the limits of integration for each variable in the spherical coordinate system.
Given:
Sphere equation: x^2 + y^2 + z^2 = 16z
Plane equation: z = 7
Cone equation: z = x^2 + y^2
We first need to find the intersection points between the sphere and the plane:
x^2 + y^2 + z^2 = 16z
x^2 + y^2 + z^2 - 16z = 0
x^2 + y^2 + z^2 - 16z + 64 = 64
x^2 + y^2 + (z - 8)^2 = 64
Since z is equal to 7 in the plane equation, we substitute z = 7 in the cone equation to find the intersection points:
7 = x^2 + y^2
By solving these equations, we find that the intersection points lie on the circle with radius √7.
Now, let's set up the integral in spherical coordinates:
∭e y dv = ∫∫∫e ρ^2 sin(φ) dρ dθ dφ
The limits of integration are as follows:
ρ: from 0 to √7 (radius of the intersection circle)
θ: from 0 to 2π (complete revolution around the z-axis)
φ: from the cone z = x^2 + y^2 to the plane z = 7
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I need to find the slope of (-19, -6), (-19, 20)
The entered points belong to a vertical line. There is no slope.
Equation: x = -19.
What is a/5+3=8 and what does a=?
Answer:
a=25
Step-by-step explanation:
Solve by subtracting 3 from both sides.
a/5=5
Multiply both sides by 5.
a=25
Answer:
a=25Step-by-step explanation:
a/5+3=8
Subtract 3 from both sides:
a/5+3 -3=8 -3
a/5=5
Multiply both sides by 5:
5×a/5=5×5
a=25
Hope it helps!
ayrıntılı bir şekilde çözümü yazarmısınız
Answer:
asi ñao lub ni huliao
Step-by-step explanation:
This graph represents which inequality?
a. x > 4
b. x < 4
c. x ≥ 4
d. x ≤ 4
This graph represents the following inequality: a. x > 4
What is an inequality?In Mathematics and Geometry, an inequality simply refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;
Greater than (>).Less than (<).Greater than or equal to (≥).Less than or equal to (≤).Based on the information provided in this graph with the point located at 4, we have the following equation (inequality);
x > 4
This ultimately implies that, the area above the dashed line must be shaded because the inequality symbol is greater than (>).
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Determine the mean and standard deviation of the variable X in each of the following binomial distributions. a. n=5 and π=0.10 b. n=3 and π=0.40 c. n=5 and r=0.50 d. n=3 and π=0.80 a. When n=5 and π=0.10, determine the mean. μ= (Type an integer or a decimal. Do not round.)
The mean (μ) for the given binomial distribution is 0.50.
To calculate the mean (μ) of a binomial distribution, we multiply the number of trials (n) by the probability of success in a single trial (π). Let's examine each scenario in detail:
a. When n = 5 and π = 0.10:
μ = 5 * 0.10
= 0.50
For this binomial distribution, with 5 trials and a success probability of 0.10, the mean (μ) is 0.50. This means that, on average, we would expect to have 0.50 successes per trial.
b. When n = 3 and π = 0.40:
μ = 3 * 0.40
= 1.20
In this case, the mean (μ) of the binomial distribution is 1.20. It indicates that, on average, there would be 1.20 successes per trial when there are 3 trials and a success probability of 0.40.
c. When n = 5 and π = 0.50:
μ = 5 * 0.50
= 2.50
For a binomial distribution with 5 trials and a success probability of 0.50, the mean (μ) is 2.50. This means that, on average, we would expect to have 2.50 successes per trial.
d. When n = 3 and π = 0.80:
μ = 3 * 0.80
= 2.40
In this scenario, the mean (μ) of the binomial distribution is 2.40. It suggests that, on average, we would expect to have 2.40 successes per trial when there are 3 trials and a success probability of 0.80.
The mean (μ) provides a measure of the central tendency or the average number of successes in a binomial distribution based on the given parameters.
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