To the nearest hundredth, what is the volume of the sphere? (Use 3.14 for л.) 48 mm mm ³
Answer:
Step-by-step explanation:
Volume of Sphere =4/3л\(r^{3}\) = (4/3)*3.14*48*48*48 = 463011 \(mm^{3}\) =46300
Answer soon pls it’s a test
Answer: A
Step-by-step explanation:
Unit means per 1, there are 4 units. 2.12 divided by 4 is 0.53
pleasee helpp answer correctly !!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!!!!!!
Answer:
BDE
or
EDB
Step-by-step explanation:
Make the marked angle, D, your center point. Find the two other points of the angle, E and B. write them in order, forwards and backwards.
A rental car company charges $68.64 per day to rent a car and $0.12 for every mile driven. Jaxon wants to rent a car, knowing that:
•He plans to drive 500 miles
•He has at most $210 to spend
What is the maximum number of days that Jaxon can rent the car while staying within his budget?
Answer:
Step-by-step explanation:
x is the number of miles driven, and I'm assuming that's supposed to say that he plans on driving 500 miles per day and has $210 to spend. We need a cost equation for his trip. $68.64 is the flat fee the company charges regardless of how many miles, x, are driven. If they charge $.12 per mile, that's the rate per mile of the equation which is the same thing as the slope of the linear equation. The cost equation is
y = .12x + 68.64
If he has $210 to spend, let's see how many miles he can go on that by subbing in 210 for y:
210 = .12x + 68.64 and
141.36 = .12x so
x = 1178
He can drive a total of 1178 miles with $210. If he drives 500 miles per day, 1178/500 = 2.356 days. So depending upon when he has to return the car and assuming it's in the morning, he can keep the car for 2 full days and stay within his budget.
what is the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel turning at 51 rpm (revolutions per minute) if the wheel's diameter is 34 cm ?
The magnitude of the acceleration of the speck of clay on the edge of the potter's wheel is approximately 4.85 meters per second squared.
To find the magnitude of the acceleration of a speck of clay on the edge of a potter's wheel, we need to determine the angular velocity of the wheel first.
The angular velocity (ω) can be calculated using the formula:
ω = 2πf
Where f is the frequency of rotation in revolutions per second. In this case, the frequency is 51 rpm, which can be converted to revolutions per second by dividing by 60:
f = 51 rpm / 60 = 0.85 revolutions per second
Now we can calculate the angular velocity:
ω = 2π * 0.85 = 5.36 radians per second
The linear velocity (v) of the speck of clay on the edge of the wheel can be calculated using the formula:
v = ωr
Where r is the radius of the wheel. Since the diameter is given as 34 cm, the radius is half of that:
r = 34 cm / 2 = 17 cm = 0.17 meters
Now we can calculate the linear velocity:
v = 5.36 radians per second * 0.17 meters = 0.91 meters per second
Finally, the magnitude of the acceleration (a) can be calculated using the formula:
a = v^2 / r
Plugging in the values:
a = (0.91 meters per second)^2 / 0.17 meters = 4.85 meters per second squared
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in a large western university, 15% of the students are graduate students. if a random sample of 5 students is selected, what is the probability that the sample contains exactly three graduate students?
There is a 0.2428 percent chance that the sample comprises exactly three graduate students.
Given That,
15% of the students at a big western university are graduate students. If five students are chosen at random as a sample
What is Binomial Distribution ?
The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. For instance, if we flip a coin, there are only two conceivable results: heads or tails, and if we take a test, there are only two possible outcomes: pass or fail. A binomial probability distribution is another name for this distribution.
This is a binomial distribution, the probability distribution function is
P(X =x) = C^320 (0.15)^3(1-0.15)^20-3
= [(20x19x18)/2x3](0.15)^3(1-0.15)^20-3
= 0.2428
As a result, 0.2428 is the likelihood that the sample contains exactly three graduate students.
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PLS HELP DUE IN 1 HOUR WILL GIVE BRAINLIEST 5 STARS AND A THANKSSSS !
Answer:
15
Step-by-step explanation:
33=9.8x-7.6x
33=2.2x
33/2.2=x
15=x
Answer:
x=-15
Step-by-step explanation:
8+9.8x+9=3.8x-16+3.8x
8+9=17
17+9.8x=7.6x-16
-7.6x -7.6x
17+2.2x=-16
-17 . -17
-16-17= -33
2.2x=-33
/2.2 /2.2
x=-15
A software company is interested in improving customer satisfaction rate from the 64% currently claimed. the company sponsored a survey of 125 customers and found that 89 customers were satisfied. what is the test statistic z?
The test statistic-z or z-score will be 1.635.
What is test statistic-z?
A z-score, also known as a z-statistic, is a number that represents how many standard deviations above or below the mean population a z-test score is. It is essentially a numerical measurement that describes the relationship of a value to the mean of a collection of values. A z-score of 0 implies that the data point's score is the same as the mean score. A z-score of 1.0 indicates that the result is one standard deviation from the mean. Z-scores can be positive or negative, with a positive number indicating that the score is higher than the mean and a negative value indicating that it is lower than the mean.
Let p indicate the proportion of customers who are satisfied.
P=0.64
n=number of customers surveyed =125
x=number of satisfied consumers in the survey=89
p=89/125=0.71
The test statistic-z is calculated using the following formula,
z=(p-P)/√(P(1-P)/n)
=(0.71-0.64)/√0.64(1-0.64)/125
=0.07/√0.00184
=0.07/0.0428
=1.635
The test statistic-z is 1.635
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Simplify (3 x 1012) x (6 x 105) and
write the answer in correct standard form
Answer:
3666
Step-by-step explanation:
HELP IM BEING TIEMEEEEEEEEEEEEEEEEED
Answer:
-2
Step-by-step explanation:
The right part of a figure is shown. The left part of this figure is missing. Line j is a line of symmetry. Which choice shows the left part of the figure?
Answer: The one on the bottom right.
Step-by-step explanation:
Symmetry is basically like a mirror. The line of symmetry is the exact point where it starts to reflect.
A symmetrical shape can also be folded onto itself equally.
Looking at the photo, the picture on the bottom right is the left part of the figure.
a five-number summary for a data set is 35, 50, 60, 70, 90. about what percent of the observations are between 35 and 90?
Answer:
100%------------------
35 and 90 are the minimum and maximum values of the data set.
It means all observations are between those two numbers.
Hence the answer is 100%
Approximately 100% of the observations are between 35 and 90 in the given data set.
What is a median?
In statistics, the median is a measure of central tendency that represents the middle value of a set of data when arranged in ascending or descending order. It divides the data into two equal halves, with 50% of the values falling below the median and 50% falling above it.
To find the median, the data set is first arranged in order from smallest to largest (or vice versa). If the data set has an odd number of observations, the median is the middle value. For example, in a set of {1, 3, 5, 7, 9}, the median is 5.
The five-number summary consists of the minimum value, the first quartile (Q1), the median (Q2), the third quartile (Q3), and the maximum value. In this case, the minimum value is 35, and the maximum value is 90. Since these values define the range of the data set, all the observations are between these two values.
Therefore, approximately 100% of the observations are between 35 and 90.
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10. The shape of radishes may be long (SLSL), round (SRSR), or oval (SLSR). If long radishes are crossed to oval radishes and the F1 is then allowed to cross at random among themselves, what phenotypic ratio is expected in the F2
When long radishes (SLSL) are crossed to oval radishes (SLSR), the F1 generation will all have the genotype SLSR because they inherit one allele for long shape from one parent and one allele for oval shape from the other parent. When the F1 generation is allowed to cross at random among themselves, the expected phenotypic ratio in the F2 generation will be 1:2:1 for long:round: oval.
This is because each F1 individual can produce gametes with either the S allele or the L allele, and the S allele is dominant over the L allele for determining shape.
So, when two F1 individuals with the SLSR genotype cross, there are four possible offspring genotypes: SSLR (long), SLSR (long), SRSR (round), and SLSL (oval). The probability of each genotype is 1/4. However, since the S allele is dominant over the L allele, both the SSLR and SLSR genotypes will express the long-shape phenotype. Thus, the phenotypic ratio in the F2 generation will be 1 long: 2 round: 1 oval.
In summary, when long radishes are crossed to oval radishes and the F1 generation is allowed to cross at random among themselves, the expected phenotypic ratio in the F2 generation will be 1 long : 2 round : 1 oval.
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A car dealership has 12 sports cars, 6 sport utility vehicles, and 7 luxury cars on its lot. How many outcomes are there for randomly choosing a vehicle?.
Total number of outcomes for randomly choosing a vehicle = 25
What is outcome of an event?
Suppose an event is happening. The results which are possible in that event is known as outcome of that event.
Number of sportscar a car dealership has = 12
Number of sports utility vehicle a car dealership has = 6
Number of luxury car a car dealership has = 7
Total number of outcomes for randomly choosing a vehicle
= 12 + 6 + 7 =
= 25
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How do you write intervals of increase and decrease?
For a real-valued function f, it is said that the interval's value increases for every x and y where f (x) f (y) (x). and the interval is referred to as declining if its value is f (x) f (y) for every x y.
What is meant by intervals?An interval is described numerically in mathematics. An interval is any set of numbers that fall between two distinct integers.This range includes all real values that fall between those two. Any kind of number you can think of exists.The distance between the upper and lower class limits is known as the class interval. For instance, the first class's class interval is 30 - 26 = 4, which is a size of 4. Similar to the first class, the second class's class interval measures 31 minus 35, or 4. A range of numbers between two given numbers that contains all of the real numbers in that range is known as an interval.To learn more about intervals, refer to:
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Find the value of y.
(21y-1)
(4x+23) (9x-38)
The value of 'y' in the given figure of parallel lines cut by a transversal will be y = 4
As per the question statement, we are given a figure of parallel lines cut by a transversal, and we are supposed to find the value of 'y'.
As per the figure,
(4x + 23) + (9x - 38) = 180 degrees [Pair of linear pair]
13x - 15 = 180
13x = 195
x = 15
Also, (4x + 23) = (21y - 1), [Pair of alternate angles]
4*15 + 23 = 21y - 1
21y = 84
y = 4
Hence, the value of 'y' in the given figure of parallel lines cut by a transversal will be y = 4.
Parallel lines: Straight lines that are always the same distance apart from one another are called parallel lines. No matter how far apart they are, parallel lines can never come together.To learn more about parallel lines and transversal, click on the link given below:
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Which of the following is not equal to angle 6? A.1 b.2 c.3 d.7
Answer:
A 1
Step-by-step explanation:
please mark this answer as brainliest
NEED HELP ASAP !! PLEASE !!!
Answer:
The domain for A is 0, 1, 2, 3 and the range is 0, 5, 10, 15
and the domain for B is 2, 2, 4, 4 and the range is 4, 3, 2, 1
Only A is a function because for the same input value in B, there is two different output values which is not possible.
Step-by-step explanation:
I just wanna let you know so you don't waste any more points for us, but the domain is the x-values/ input/ stuff on the left of a given point. The range is the y-values, the output, and the stuff on the right side of a given point. So on (1, 7) for example, the 1 would be the domain number and the 7 would be the range number.
The y-axis values are the output/range and the x-axis values are the input/domain.
Hope this helps bro
This is for my little brother
Answer:
9 1/3
Step-by-step explanation:
Pls, choose me as brainliest!
Someone please tell me if my answers are correct or not. I guessed on the question about range, so i'm not sure if that is correct. Please explain how you got the range
Answer:
Asymptote: y=4
Y-intercept: (0,3)
Domain: All real numbers
Range: y<4
Step-by-step explanation:
The asymptote is the y-value that the line is always coming closer to, but will never reach
The range is all numbers either above or below the asymptote, in this case below
You are correct on the domain and y-intercept
50 points!!!
7. Write and solve an inequality for the value of x.
The value of x must be between -18 and -6. The solution has been obtained using Triangle inequality theorem.
What is Triangle inequality theorem?
The triangle inequality theorem explains how a triangle's three sides interact with one another. This theorem states that the sum of the lengths of any triangle's two sides is always greater than the length of the triangle's third side. In other words, the shortest distance between any two different points is always a straight line, according to this theorem.
We are given three sides of a triangle as 8, 6 and x+20
Using Triangle inequality theorem,
⇒8+6 > x+20
⇒14 > x+20
⇒-6 > x
Also,
⇒x+20+6 > 8
⇒x+26 > 8
⇒x > -18
Also,
⇒x+20+8 > 6
⇒x+28 > 6
⇒x > -22
From the above explanation it can be concluded that x is less than -6 but greater than -22 and -18.
This means that x must lie between -18 and -6.
Hence, the value of x must be between -18 and -6.
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Gareth owns a rental house which he bought on 25 September 2000 for $175,000. The house had been constructed in January 1996 and he has obtained Division 43 deductions amounting to $42,719. He paid stamp duty of $8,425 at purchase. Initial repairs soon after he purchased the house at a cost of $3,100. Rates and taxes cost him a total of $15,300. Interest on the loan cost him $56,000. As a result of normal wear and tear he had to replace a section of floorboards on 19 June 2005 at a cost of $1,500. He sold the house on 30 June CY for $250,000. The amount Gareth has to include in his assessable income is: 552347 $53097 $31738 $53897
Gareth has a capital gain of $34,894, which he will need to include in his assessable income.
To determine the amount Gareth has to include in his assessable income, we need to calculate the capital gain or loss on the sale of the rental house. Here's a breakdown of the calculations based on the given information:
Cost Base:
The cost base is the initial purchase price of the house plus any additional costs incurred to acquire or improve the property. In this case:
Cost Base = Purchase Price + Stamp Duty + Initial Repairs + Rates and Taxes + Interest on Loan
Cost Base = $175,000 + $8,425 + $3,100 + $15,300 + $56,000
Cost Base = $257,825
Adjusted Cost Base:
The adjusted cost base takes into account the depreciation deductions claimed (Division 43 deductions in this case).
Adjusted Cost Base = Cost Base - Division 43 Deductions
Adjusted Cost Base = $257,825 - $42,719
Adjusted Cost Base = $215,106
Capital Gain or Loss:
Capital Gain or Loss = Sale Price - Adjusted Cost Base
Capital Gain or Loss = $250,000 - $215,106
Capital Gain or Loss = $34,894
Gareth's assessable income from the sale of the rental house is $34,894. This is calculated by subtracting the adjusted cost base from the sale price, resulting in the capital gain. It's important to note that tax rules and regulations may vary depending on the jurisdiction, so it's advisable to consult a tax professional or accountant for accurate and personalized advice.
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Add. Write your answer in scientific notation. (5. 84×102)+(2. 85×102)
The sum of (5.84×10^2) and (2.85×10^2) in scientific notation is 8.69×10^2.
To add numbers in scientific notation, we need to ensure that the exponents (powers of 10) are the same. In this case, both numbers have an exponent of 2.
(5.84×10^2) + (2.85×10^2)
Since the exponents are the same, we can add the coefficients:
5.84 + 2.85 = 8.69
Now, we keep the same exponent (2) and write the sum in scientific notation:
8.69×10^2
When we add (5.84×10^2) and (2.85×10^2), we get a sum of 8.69×10^2. This means the sum is 869 in standard form. Adding numbers in scientific notation involves adding the coefficients and keeping the exponent the same. In this case, the exponents were already the same, so we simply added the coefficients to obtain the final result.
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✨Hello! I need some help it's very urgent I will be marking brainliest✨
first blank: never, sometimes, always
second blank: less than or equal to negative 3, between -3 and 3, greater than or equal to 3, greater than or equal to -3, less than or equal to 3.
third blank: positive number, less than or equal to zero, negative number, negative number, a number greater than or equal to zero.
Answer:
Sometimes, Never, and Always.
(Sounds like a good movie title).
Step-by-step explanation:
See attached image.
The radius of a circle is 12 meters. What is the circle's area
Answer:
452.16 m²
Step-by-step explanation:
Given :-
Radius = 12 m
To Find :-
Area
Formula Required :-
Area (circle) = πr²
Solving :-
Area = 3.14 x 12 x 12
= 3.14 x 144
= 452.16 m²
Solution :-
452.16 m²
Answer:
144
Step-by-step explanation:
A=πr^2
Where:
A
is the Area of the Circle: what we are solving for in this problem.
r
is the Radius of the Circle: 12 meters for this problem
Substituting and calculating
A
gives:
A=π(12)^2m^2
A=π144m^2
A= 144m^2
This circle would have an area of 144 square meters.
6) A 6-ounce bottle of medicine contains 36 doses. How many doses are in a 15-ounce bottle of the same medicine?
A 15-ounce bottle of the same medicine contains 90 doses.
Unitary method:The unitary method is a method used to solve problems related to proportionality. It involves finding the value of a single unit or the value of a given quantity when the value of one or more units is known.
In the given problem, we will find the number of doses in 1 unit from that will find the number of doses in a 15-ounce bottle.
Here we have
A 6-ounce bottle of medicine contains 36 doses.
Number of doses in a 1-ounce bottle
= 36/6 = 6 doses
Then the number of doses in a 15-ounce bottle of medicine
= 15 × Number of doses in 1 ounce
= 15 × 6
= 90
Therefore,
A 15-ounce bottle of the same medicine contains 90 doses.
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Please Help
In the 1951 science fiction movie classic The Thing from Another World, a group of scientists and soldiers discover a recently crashed alien spaceship buried under a few feet of ice near the North Pole. The party spreads out to determine the size and shape of the alien craft under the blurry ice with the following dialogue: "It's perfectly round...yep, we finally found one...a flying saucer." Assuming that each of the 10 person party is exactly 68 inches (5'8") tall, what would be the diameter of the saucer be in feet rounded to the nearest foot?
Please note that there is insufficient information required to complete this task. The calculation of the diameter of the saucer would have been possible if we were given the width of the 10-person party not their height.
What is the formula for calculating diameter?The formula for calculating the diameter of a circular object in relation to circumference is given as the Circumference of an object divided by Pi (π). That is
If the width of the men were given, and they had stood around the saucer as close to each other as they could, then the circumference of the saucer would have been estimated as:
10 * (width of the men). = 10X
Diameter becomes = 10X/π
Remember, the answer must be in feet.
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Convert 2.5 kg into gram
Answer:
2500 grams
Step-by-step explanation:
1kg=1000g
2.5kg=1000×2.5
=2500
Answer:
2500 g
Step-by-step explanation:
1 kg=1000 g
2.5kg=2.5×1000 g
so that 2.5kg = 2500 g
A bakery sells muffins for $1.85 each and cupcakes for $2.25 each. Jonathan buys 3 muffins and 4 cupcakes from the bakery. How much money does Jonathan spend?
JJonathan spends $14.55 on muffins and cupcakes
How much money does Jonathan spend?Jonathan buys 3 muffins and 4 cupcakes, so we can calculate how much he spends on muffins by multiplying the price of one muffin by the number of muffins he buys:
1.85 * 3 = $5.55
And we can calculate how much he spends on cupcakes by multiplying the price of one cupcake by the number of cupcakes he buys:
2.25 * 4 = $9
To find the total amount of money Jonathan spends, we add the cost of the muffins to the cost of the cupcakes: 5.55 + 9 = $14.55
So, Jonathan spends $14.55 in total.
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Data with 250 observations are drawn from a bell-shaped distribution with a mean of 50 and a standard deviation of 12. Approximately how many observations are more than 74? (Round your answer to the nearest whole number.)
____
To estimate the number of observations that are more than 74, we can use the properties of the normal distribution.
Given that the data are drawn from a bell-shaped distribution with a mean of 50 and a standard deviation of 12, we can calculate the z-score for the value of 74.
The z-score is a measure of how many standard deviations a value is away from the mean in a normal distribution. It is calculated using the formula:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
In this case, we can calculate the z-score for x = 74 as:
z = (74 - 50) / 12 = 2
Once we have the z-score, we can use a standard normal distribution table or calculator to find the proportion of observations that are above this z-score. The z-score of 2 corresponds to approximately 0.9772 on the standard normal distribution table.
To estimate the number of observations more than 74, we multiply this proportion by the total number of observations (250):
Number of observations more than 74 = Proportion above 74 * Total number of observations
= 0.9772 * 250
≈ 244
Therefore, approximately 244 observations out of the 250 are expected to be more than 74.
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