Answer: D. 6 cm
Step-by-step explanation:
V = 4/3πr^3
r = (3 V/4π)^1/3 = (3* 900/4*π)^1/3 = 5.98942
if something costs 9.95 how much you give them and how much is your change?
Answer:
10.00 & 0.05
Step-by-step explanation:
[tex]10.00 - 0.05 = 9.95[/tex]
The amount of money as change is $ 0.05 and the amount of money given is $ 10.00
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the cost of the item = $ 9.95
The amount of money given = $ 10.00
So , the amount of money received as change = amount of money given - cost of the item
On simplifying the equation , we get
The amount of money received as change = 10.00 - 9.95
The amount of money received as change = $ 0.05
Hence , the amount of change is $ 0.05
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i need help with this problem
Answer: Yes. for each input there is exactly
ONE output
Step-by-step explanation:
I did the test and it was true.
This composite figure is made up of three simpler shapes. What is the area of
the figure?
5 cm
10 cm
3 cm
4 cm
6 cm
Answer:
The figure is made up of a rectangle and two triangles. The dimensions of the rectangle are 10 cm by 5 cm, so the area of the rectangle is 10 * 5 = 50 cm^2.
Each of the two triangles has a base of 4 cm and a height of 3 cm, so the area of each triangle is (1/2) * 4 * 3 = 6 cm^2. The total area of the two triangles is 2 * 6 = 12 cm^2.
The total area of the figure is the sum of the areas of the rectangle and the triangles: 50 + 12 = 62 cm^2.
Step-by-step explanation:
QUESTION FOR FOR LIH04
Find the prime factorization of
the number 90.
Order the factors from least to greatest.
Remember, 1 is not a prime number.
[ ] × [ ] × [ ] × [ ]
Enter the number that belongs in the green box.
Answer:
2 × 3 × 3 × 5 = 2 × 3 × 3 × 5
Step-by-step explanation:
The prime factorization of 90 is 2 × 3 × 3 × 5, so the prime factors are 2, 3, 3, and 5. Ordering the factors from least to greatest, we have:
2 × 3 × 3 × 5 = 2 × 3 × 3 × 5.
Clarice has animated a 3D airplane with visible passengers in the windows. She wants the plane to move on a predetermined path across the screen. What form of animation should she use?
Can someone show meh pls
The tape diagram represents an equation.
Write an equation to represent the image
w 1.3 2.7
The equation that represents the image will be w + 1.3 = 2.7. And the value of 'w' will be 1.4.
What is the solution to the equation?An answer to a formula is any variable value that fulfills the equal outcomes, that is, it tends to make the Left Hand Side (LHS) and Right Hand Side (RHS) of the formula equal. To solve an equation, you must locate the feasible solution) to that formula.
The length of both tapes is the same. Then the equation is given as,
w + 1.3 = 2.7
Simplify the equation for w, then we have
w + 1.3 = 2.7
w = 1.4
The equation that represents the image will be w + 1.3 = 2.7. And the value of 'w' will be 1.4.
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the heights of young men follow a normal distribution with mean 69.3 inches and standard deviation 2.8 inches. the heights of young women follow a normal distribution with mean 64.5 inches and standard deviation 2.5 inches. (a) let m the height of a randomly selected young man and w the height of a randomly selected young woman. describe the shape, center, and spread of the distribution of m w. (b) find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman. show your work.
The shape of the distribution is normal
The probability is 0.7764
What is Standard Deviation?
The standard deviation is a measure of the spread or dispersion of a set of data around its mean. It is calculated by finding the square root of the variance, which is the average of the squared differences between each data point and the mean. It is used to quantify the degree of variability or diversity in the data.
(a)
The distribution of heights of young men follows a normal distribution with a mean of 69.3 inches and a standard deviation of 2.8 inches. The distribution of heights of young women also follows a normal distribution with a mean of 64.5 inches and a standard deviation of 2.5 inches.
The difference between the height of a randomly selected young man (m) and a randomly selected young woman (w) follows a normal distribution with a mean of 69.3 - 64.5 = 4.8 inches (the difference in the means) and a standard deviation of √(2.8² + 2.5²) = 3.67 inches (the square root of the sum of the variances).
The shape of the distribution of the difference between the heights of a randomly selected young man and a randomly selected young woman is also normal, since the original distributions are normal. The centre of the distribution is 4.8 inches, and the spread is 3.67 inches.
(b)
We need to find the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman, or in other words, we need to find P(m - w > 2).
Using the formula for the difference of two normal distributions, we have:
z = (2 - 4.8) / 3.67 = -0.76
We need to find the probability that a standard normal variable Z is greater than -0.76. Using a standard normal table or calculator, we find that P(Z > -0.76) = 0.7764.
Therefore, the probability that a randomly selected young man is at least 2 inches taller than a randomly selected young woman is approximately 0.7764.
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Point G is located at -18 on a number line. Point H is 24 more than Point G. Where is Point h?
Point H is located at 6 on the number line, which is 6 units to the right of the zero point.
We know that Point G is located at-18 on the number line, and that Point H is 24 further than Point G. To find the position of Point H, we need to add 24 to the position of Point G
Point H = Point G + 24
Substituting the position of Point G, we get
Point H = -18 + 24
Simplifying the expression, we get
Point H = 6
thus, Point H is located at 6 on the number line.
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Δ′ABC ∼Δ′A'B'C and AC=20cm A'C'=15cm B'C'=12cm and A'B'=9cm find the length of the other sides of ΔABC
The length of the other sides of ΔABC are AB =12 cm and BC = 16 cm.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Given that, ΔABC ∼ΔA'B'C' and AC=20 cm A'C'=15 cm B'C'=12 cm and A'B'=9 cm.
Here, AB/A'B' = BC/B'C' = AC/A'C'
AB/9 = BC/12 = 20/15
AB/9 = BC/12 = 4/3
Now, AB/9 = 4/3
AB =12 cm
BC/12 = 4/3
BC = 16 cm
Therefore, the length of AB =12 cm and BC = 16 cm.
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what is the difference between 95.827 and 58.39
Answer:
37.437
Step-by-step explanation:
Answer:
37.437
Hope it helps
Segment EF has endpoints E(-7, 14) and F(11, 5). Point P lies on EF at P(-3, 12).
What is the ratio of EP to PF?
I’m trying again. Brainly did it again
The ratio of EP to PF is given as follows:
EP : PF = 2 : 7.
How to obtain the ratio of EP to PF?The ratio of EP to PF is obtained applying the proportions in the context of the problem.
Looking at the x-coordinates, we have that:
|P - E| = 4.|F - P| = 14.The ratio must necessarily be the same for the y-coordinates, hence the ratio is given as follows:
EP : PF = 4 : 14.
EP : PF = 2 : 7.
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pls help due now!!!!!!!!!!!!!!!!!!!
Answer:
B.
The equation you can use to find the area of a sphere when given radius is:
V = 4/3πr 3
Fitting 5 into the equation:
V = 4/3π5 3
V = 523.598776
Therefore, B is the correct answer.
An approximate solution to an equation is found using this iterative process
a) The values are given as follows:
i) x1: -0.5.
ii) x2: -0.280125.
b) The solution of the equation is of: -0.25410169644.
How to calculate the valueThe equation in this problem is given as follows:
y = (x³ - 1)/4.
The solution is obtained using a iterative solution method, until the difference between previous iterations is less than 10^-6, as the solution is exact to 6 decimal places.
Then the values are given as follows:
x1 = -1 -> attributed.
x2 = ((-1)³ - 1)/4 = -0.5.
x3 = ((-0.5)³ - 1)/4 = -0.28125.
x4 = ((-0.281255)³ - 1)/4 = -0.25556212524.
x5 = ((-0.25556212524)³ - 1)/4 = -0.25417281837
x6 = ((-0.25417281837)³ - 1)/4 = -0.25410513385
x7 = ((-0.25410513385)³ - 1)/4 = -0.25410185521.
x8 = ((-0.25410185521)³ - 1)/4 = -0.25410169644. -> difference less than six decimal places.
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An approximate solution to an equation is found using this iterative process.
Xₙ₊₁= (Xₙ)³ - 1 / 4 and x₁= -1
a)
(i) Work out the value of x₂
(ii) Work out the value of x₃
b) Work out the solution to 6 decimal places
for each of the following variables, determine whether the variables is categorical or numerical and determine its measurement scale. if the variable is numerical, determine whether the variable is discrete or continuous.a. name of internet service providerb. time in hours, spent surfing the internet per weekc. whether the individual uses a mobile phone to connect to the internetd. number of online purchases made in a monthe. where the individual uses social networks to find sought -after information
(a). Name of internet service provider is categorical variable because it cannot be quantified or measured. It can be divided into different categories according to the service they provide.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
(b). Time in hours, spent surfing the internet per week is continuous numerical variable because time can be measured over an infinite number of real values within a given interval.
A variable is said to be continuous if it can assume an infinite number of real values within a given interval.
Measurement scale used for determination is ratio scale.
(c). Whether the individual uses a mobile phone to connect to the internet is categorical variable because the answer can only be yes or no and it cannot be measured numerically.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
(d). Number of online purchases made in a month is discrete numerical variable because it is a value that arises through a counting process.
A discrete quantitative variable is one that can only take specific numeric values (rather than any value in an interval), but those numeric values have a clear quantitative interpretation.
Measurement scale used for determination is interval scale.
(e). Where the individual uses social networks to find sought -after information is categorical variable because the answer can only be yes or no and it cannot be measured numerically. It can be either he/she uses or he/she do not.
A categorical variable (also called qualitative variable) is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property.
Measurement scale used for determination is nominal scale, also called the categorical variable scale.
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At Charles Walters Middle School, 30% of the students live more than 4 miles from school.
The fraction of the students live more than 4 miles from school is 3/10.
What is a fraction?A fraction represents a part of a number or any number of equal parts.
A fraction consisting of a quotient and remainder is a mixed fraction. we can convert the mixed fraction to improper fraction by first dividing the numerator by denominator and then taking the quotient as whole number and remainder as the numerator of proper fraction keeping the denominator same.
Given;
The percentage of students live more than 5 miles away=30%
Now,
The fraction;
=30/100
To convert it into the simplest from;
=30/100
=3/10
Therefore, the fraction in simplest form will be 3/10.
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The complete question is;
At Charles Walters Middle School, 30% of the students live more than 4 miles from school.What fraction of the students live more than 4 miles from school? Write your answer as a fraction in simplest form. ?
A man and a woman share a cash prize of £2855 between them in the
ratio 1:4 respectively. The woman shares her winnings between herself,
her daughter and her son in the ratio 5:1:2. How much does her
daughter receive?
Answer:
285.50
Step-by-step explanation:
The total for the ratio of 1:4 is 5. The ratio to the woman to the total is
4:5 or
[tex]\frac{4}{5}[/tex] = [tex]\frac{x}{2855}[/tex] Cross multiply and solve for x
4(2855) = 5x
11420 = 5x Divide both sides by 5
2284 =x
The woman's portion of the total is 2284.
The woman takes the 2284 and divides it in a ratio of 5:1:2. The total is 8.
The daughter will receive the ratio of 1:8 of the total.
[tex]\frac{1}{8}[/tex] = [tex]\frac{x}{2284}[/tex] cross multiply and solve for x
8x = 2284 Divide both sides by 8
x = 285.50
The daughter's portion is 285.50
Determine the lengths of the sides of the rectangle using the given area. Give answers both exactly and approximately (to the nearest tenth). The area of the rectangle is 45cm-. The width of the rectangle is cm. The length of the rectangle is. cm.
Answer: Let the width of the rectangle be w and the length be l. We are given that the area of the rectangle is 45 cm^2, so we can write the equation:
w * l = 45
To find the lengths of the sides, we need to solve for w and l. We can divide both sides of the equation by any non-zero number to find an equivalent expression. For example, we can divide both sides by 9:
(w/9) * (l/9) = 45/9
Simplifying, we get:
w/9 * l/9 = 5
So, w/9 = 5/l and w = 5l/9.
Substituting the expression for w into the original equation, we get:
(5l/9) * l = 45
Expanding and simplifying, we get:
5l^2/9 = 45
Multiplying both sides by 9, we get:
5l^2 = 405
Dividing both sides by 5, we get:
l^2 = 81
Taking the square root of both sides, we get:
l = 9
So, the length of the rectangle is 9 cm. To find the width, we can substitute the value of l back into the expression we derived earlier:
w = 5l/9
w = 5 * 9 / 9
w = 5
So, the width of the rectangle is 5 cm.
The lengths of the sides of the rectangle, both exactly and approximately, are 9 cm and 5 cm.
Step-by-step explanation:
2. Find x in the triangle below
We can see that the triangle is equilateral, thus, the value of x is 13.
How to find the value of x in the triangle?We can see that it is a right triangle, and we know the value of one of the catheti and one of the angles.
Remember that the sum of the interior angles must be equal to 180°.
So if we have a right angle and a 45° angle, then the measure of the remaining angle is:
a = 180° - 90° - 45° = 45°
So we have an equilateral triangle, thus, the measure of x must be 13 units.
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Answer: 13
Step-by-step explanation: Just took the test
someone please answer 6,7, and 8 for 15 points quickly
Using the concept of proportions, the first rate does not form a proportion while the second rate form a proportion and the the cost of 9 pizza is $152.55
What is ProportionsProportion is a mathematical concept that refers to the relationship between two values or sets of values. It expresses the relative sizes of two or more quantities and can be represented as a fraction, decimal, or percentage.
6.
16 players for 24 teams
20 players for 32 teams
Let's find the ratio of player to team if they're consistent.
16 / 24 = 2/3 ≠ 20 / 32 = 5/8
The rates do not form a proportion.
7.
10 inches in 6 hours
80 inches in 2 days
10 / 6 = 5/3 = 80 / 48 = 5/3
The rates form a proportion.
8.
4 pizza = 67.80
9 pizza = x
Cross multiply both sides
4x = 67.80 * 9
4x = 610.2
x = 610.2 / 4
x = 152.55
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Solve for x.
9/3 = x/2
[tex] \frac{9}{3} = \frac{x}{2} \\ [/tex]
Cross multiply...
[tex]3x = 18[/tex]
[tex]x = \frac{18}{3} \\ [/tex]
x = 6
Answer:
it's 6. 9 is divided by 3 and the answer is 3 .so 3=x÷2. and multiplie 2 in both side.so the answer is 6.
i need help with this one?
After dilation, the coordinates of image will be (-1,3).
What exactly is dilation?
Dilation is the process of modifying the size of an item or form by reducing or expanding its dimensions according to specific scaling variables. A circle of radius 10 unit, for example, is reduced to a circle with radius 5 unit. This approach is utilised in photography, arts and crafts, and the creation of logos, among other things. There are four primary types of transformations in geometry. They are as follows:
Rotation Translation ReflectionDilation or ResizingDilation Properties
Some characteristics of forms that stay constant during dilation changes are:
The figure's angles are all the same.The midpoints of the figure's sides stay the same as the midpoint of the dilated form.The figure's parallel and perpendicular lines stay the same as the dilated figure's parallel and perpendicular lines.The visuals stay unchanged.Now,
As given dilation factor= -3
that means the image will be small and x coordinate will displace from its current value - 3 that is -1.
and y coordinate will be same that is 3
Hence,
After dilation, the coordinates of image will be (-1,3).
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COULD SOMEONE PLEASE HELP ME WITH #2!!
in how many ways can a president, vice-president, and treasurer be chosen from a group of 4 freshmen and 4 sophomores so that at least one freshman and at least one sophomore holds at least one of these three positions? on person cannot serve in more than one position
The total number of ways to choose a president, vice-president, and treasurer from a group of 4 freshmen and 4 sophomores so that at least one freshman is 314 ways.
We can approach this problem using the principle of inclusion-exclusion.
First, let's find the total number of ways to choose a president, vice-president, and treasurer from a group of 8 people without any restrictions. We can do this by using the permutation formula:
8P₃ = 8 x 7 x 6 = 336
Next, let's find the number of ways to choose the three positions where only freshmen are chosen. There are 4 freshmen to choose from, so we can select the president, vice-president, and treasurer in 4P₃ = 4 x 3 x 2 = 24 ways.
Similarly, there are 4 sophomores to choose from, so we can select the three positions where only sophomores are chosen in 4P₃ = 4 x 3 x 2 = 24 ways.
However, we have overcounted the cases where only freshmen or only sophomores are chosen, since the problem statement requires that at least one freshman and at least one sophomore hold at least one of the three positions. Therefore, we need to subtract the number of cases where only freshmen or only sophomores are chosen.
There is only one way to select the president, vice-president, and treasurer from the 4 freshmen, and likewise, there is only one way to select them from the 4 sophomores. Therefore, there are a total of 2 ways to select the three positions where only one class is represented.
Finally, we need to add back the cases where no freshman or no sophomore is chosen. This occurs only if all three positions are filled by juniors or seniors. There are 4 juniors and seniors to choose from, so we can select the three positions in 4P₃ = 4 x 3 x 2 = 24 ways.
Therefore, the total number of ways to choose a president, vice-president, and treasurer from a group of 4 freshmen and 4 sophomores so that at least one freshman and at least one sophomore holds at least one of these three positions is:
336 - 24 - 24 + 2 + 24 = 314 ways.
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kendra and Dalisay practice archery. kendra hits the target3 times for every 5 misses Dalisay hits the target 5 times for every 7 misses who hits the target more show your work
Kendra hits the target more often than Dalisay.
What is the hit rate?
Hit rate is a measure of performance that calculates the proportion of successful hits or positive outcomes in a given situation, usually expressed as a percentage.
To compare Kendra and Dalisay's performance in hitting the target, we need to determine the hit rate for each archer.
Kendra hits the target 3 times for every 5 misses. The hit rate for Kendra can be calculated as:
hit rate = 3 / (3 + 5) = 3/8
Dalisay hits the target 5 times for every 7 misses. The hit rate for Dalisay can be calculated as:
hit rate = 5 / (5 + 7) = 5/12
Comparing the hit rates, we see that Kendra has a higher hit rate than Dalisay.
Therefore, Kendra hits the target more often than Dalisay.
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In a certain college, 40% of the senior class students are taking Physics, 30% are taking calculus and 10% are taking both. If 40 students are enrolled in the senior class, how many students are taking neither Physics nor calculus?
Answer:
16 students are taking Physics and 12 are taking calculus
Step-by-step explanation:
40×40%=16 students taking Physics
40×30%=12 students taking calculus
16+12=28
40-28=12 students are taking both
The cost to replace a water pump in a sports car was $668. This included $490 for the water pump and $89 per hour for labor. How many hours of labor were required to replace the water pump?
Let's call the number of hours of labor required to replace the water pump as "x".
The total cost of the water pump and labor was $668, so we can write an equation:
$490 + $89x = $668
Now we can solve for x by subtracting $490 from both sides:
$89x = $668 - $490
$89x = $178
And finally, dividing both sides by $89:
x = $178 / $89
x = 2 hours
So, 2 hours of labor were required to replace the water pump.
A candle burns 2 inches per hour. After burning for 2 hours, the candle was 5 inches
long. If one the candle has been burning for 240 minutes, how long is the candle?
Write an equation that models the situation.
The length of the candle that has been burning for the total of 240 minutes would be = 9 inches.
How to calculate the length of the candle?The rate at which a candle burns = 2 in/ 2 hours
That is,
2 in = 2 hour; 2 inches = 120 minutes
X in = 240 minutes
Make X the subject of formula;
X = 2×240/120
X= 480/120
X = 4+5
X = 9 inches
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Find the values of x, y, and z
The values of x, y and z are given as follows:
x = 6.25.y = 6.67.z = 5.What are similar polygons?Similar polygons are polygons that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.There are two similar trapezoids for this problem, hence the proportional relationship for the side lengths is given as follows:
x/15 = 10/24 = y/16 = z/12.
Applying cross multiplication, the value of x is given as follows:
24x = 15 x 10
x = 15 x 10/24
x = 6.25.
The value of y is given as follows:
y = 16 x 10/24
y = 6.67.
The value of z is given as follows:
z = 12 x 10/24
z = 5.
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factor out the greatest common factor from 6x^4 + 8x^3 PLEASE HELP
Answer: 2x^3(3x+4)
Step-by-step explanation: 2x3x^4+2^3xx^