The answer are mean and standard deviation of this probability distribution are 1.2 and 1.04403065089, respectively
Given that the probability of a new vehicle requiring warranty service within the first year is 10%, we can use the binomial probability formula to answer the questions.
The binomial probability formula is:
P(x) = nCx * p^x * (1-p)^(n-x)
Where:
n = number of trials
x = number of successes
p = probability of success
nCx = number of combinations of n things taken x at a time
a. The probability that none of these vehicles requires warranty service is:
P(0) = 12C0 * 0.1^0 * 0.9^12 = 0.282429536481
b. The probability that exactly one of these vehicles requires warranty service is:
P(1) = 12C1 * 0.1^1 * 0.9^11 = 0.35527136788
c. The probability that exactly two of these vehicles require warranty service is:
P(2) = 12C2 * 0.1^2 * 0.9^10 = 0.23622320128
d. The mean of this probability distribution is:
μ = n * p = 12 * 0.1 = 1.2
The standard deviation of this probability distribution is:
σ = √(n * p * (1-p)) = √(12 * 0.1 * 0.9) = 1.04403065089
Therefore, the mean and standard deviation of this probability distribution are 1.2 and 1.04403065089, respectively.
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The difference in the medians is ___ times the IQR
Answer:
1/3
Step-by-step explanation:
You want the difference in medians in terms of the IQR.
IQRThe IQR is the difference of the numbers at the ends of the box.
top distribution: IQR = 12 -6 = 6
bottom distribution: IQR = 14 -8 = 6
MediansThe median of each distribution is the location of the line in the box.
top distribution: median = 11
bottom distribution: median = 9
DifferenceThe difference in medians is 11 -9 = 2. The ratio of that to the IQR is ...
2/6 = 1/3
The difference in medians is 1/3 times the IQR.
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There are 6
red gumballs, 6
blue gumballs, 6
yellow gumballs, 6
green gumballs, and 6
purple gumballs in a gumball machine. If a student randomly selects 1
gumball from the machine, what is the probability that the student selects a red gumball?
Step-by-step explanation:
red gumballs=6 blue gumballs=6
yellow gumballs=6 green gumballs=6
purple gumballs=6
total number of gumballs=30
probability of a student selecting a red gumballs
no of red gumballs 6 1
=------------------------ = ----- = -----
no of total gumballs 30 5
Can someone please help me with this? I need help ASAP. Due today!!
Answer:
2*(8*8*3+15*15*3)
Step-by-step explanation:
Small cube V=8*8*3
Large cube V=15*15*3
Doubled height is double of each cube V
so 2*[(8*8*3)+(15*15*3)]
Based on the caterer’s experience, 38% of attendees to events will prefer chicken for the main dish. As the caterer plans for an event attended by 780 individuals, the normal approximation will be used for the binomial with a correction for continuity. In this case, what is the standard deviation of the number that she would expect to prefer chicken, when determining the probability that at less than 300 will prefer chicken? Round your answer to 1 decimal place, e.g. 125.7
Therefore, 13.509 is roughly the standard deviation of the number of attendees who would favour chicken.
what is standard deviation ?The degree of variation or dispersion in a set of data is measured by standard deviation. It calculates how far the data points, on average, deviate from the mean (average) of the data collection. Finding the square root of the data's variation yields the standard deviation. In statistics, the standard deviation is frequently used to characterise the distribution of data and is significant in areas like science, finance, and economics. It can be used to assess the validity of statistical data and to contrast different groups of data.
given
The following formula must be used to determine the standard deviation of attendees who would favour chicken as the main course:
σ = √(np(1-p))
When we change the numbers, we obtain:
σ = √(780 x 0.38 x 0.62) (780 x 0.38 x 0.62)
σ = √(182.616) (182.616)
σ = 13.509
Therefore, 13.509 is roughly the standard deviation of the number of attendees who would favour chicken.
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Which has the greater perimeter, a regular pentagon, or a regular hexagon, if they have the same area? Explain why.
If a regular pentagon and a regular hexagon have the same area, then the regular pentagon will have a smaller perimeter than the regular hexagon.
Why would the pentagon have a larger perimeter ?This is because a regular pentagon has less sides than a regular hexagon, which means that the length of each side of the pentagon will be shorter than the length of each side of the hexagon.
The hexagon would therefore have more distance to cover and more sides to be add up before one can get to the perimeter. The pentagon has three less sides than the hexagon and so would have a smaller perimeter.
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uiz Instructions Question 4 How many solutions are possible when you solve this system of equations? 2x+y=7 y=-2x+7
There is only one solution when you solve the system of equations 2x+y=7 and y=-2x+7. The one solutions is (2, 3).
To find the solution, you can use the substitution method. This involves solving one equation for one variable and then substituting that expression into the other equation.
First, solve the second equation for y:
y = -2x + 7
Now, substitute this expression for y into the first equation:
2x + (-2x + 7) = 7
Simplify the equation:
2x - 2x + 7 = 7
Combine like terms:
7 = 7
This equation is always true, which means that there is only one solution for this system of equations. The solution is the point where the two lines intersect, which is (2, 3).
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Suppose the chemist divided up the total amount of water so that all 8 beakers
held the same amount.
How much water would each beaker hold?
Show how you know.
The amount of water each beaker would hold is x/8
How much water would each beaker hold?From the question, we have the following parameters that can be used in our computation:
Number of beakers = 8
Represent the size with x
So, we have the following quotient expression
Size of each beaker = x/Number of beakers
Substitute the known values in the above equation, so, we have the following representation
Size of each beaker = x/8
Hence, the amount is x/8
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Estrella is the manager of a candy store. She is in charge of buying
candy for the store to sell. She buys candy from a wholesaler for $6 per
pound. The wholesaler also charges a fee of $250 for each bulk
purchase. Estrella then sells the candy for $10 per pound. Calculate the
cost to buy 75 pounds of candy from the wholesaler.
$725
$675
$650
$700
Cost of 75 pound of candy = 75×6 = $450
Additional fee for each bulk = $250
Total = $700
Therefore, $700 is the correct answer.
f/3+22=17
What is f?
Answer:
To solve for f in the equation:
f/3 + 22 = 17
We need to isolate f on one side of the equation. We can start by subtracting 22 from both sides:
f/3 = 17 - 22
Simplifying the right-hand side:
f/3 = -5
To isolate f, we can multiply both sides by 3:
f = -5 * 3
Simplifying:
f = -15
Therefore, the solution to the equation f/3 + 22 = 17 is f = -15.
Amy has 18 coins consisting of nickels, dimes, and quarters. She has the same amount of nickels as quarters. How many of each coin does she have if the value of the coins is $2.20?
a 1 nickel, 16 dimes, 1 quarter
b 3 nickels, 12 dimes, 3 quarters
c 4 nickels, 10 dimes, 4 quarters
d 6 nickels, 4 dimes, 6 quarters
The correct option regarding the amount of coins is given as follows:
c 4 nickels, 10 dimes, 4 quarters
How to obtain the amounts?The amounts are obtained by a system of equations, for which the variables are given as follows:
Variable x: number of nickels.Variable y: number of dimes.Variable z: number of quarters.Amy has 18 coins consisting of nickels, dimes, and quarters, hence:
x + y + z = 18.
She has the same amount of nickels as quarters, hence:
x = z.
Thus:
2x + y = 18
y = 18 - 2x.
She has a total of $2.20 worth of coins, hence:
0.05x + 0.1y + 0.25z = 2.2
0.3x + 0.1y = 2.2
Since y = 18 - 2x, the value of x is obtained as follows:
0.3x + 0.1(18 - 2x) = 2.2
0.1x = 0.4
x = 0.4/0.1
x = 4.
Hence the remaining values are given as follows:
y = 18 - 2x = 18 - 8 = 10.z = x = 4.Meaning that option c is correct.
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If the length of a rectangle is x ^ 2 + 3y and the width is x ^ 2 - 3y , write an expression to represent the area
Answer: x⁴ - 9y²
Step-by-step explanation:
The area of a rectangle is length x width so...
Area = (x² + 3y)(x² - 3y)
Simplify:
Area = x⁴ + 3yx² - 3yx² - 9y²
Area = x⁴ - 9y²
Hope this helps!
At a religious gathering there were 560 persons present . For every 4 adults , there were 3 children 4/5 of the children were boys . How many more boys were there than girls
The religious gathering has 144 more boys than girls.
How to calculate the number of people?First we need to find out how many people and kids are attending the event.
There were 3 kids for every 4 adults. Thus we have to divide the total gathering number by the sum of their ratios which is 4 + 3 = 7
Adult population=> (4/7) x 560 = 320
Children's number=> 560-320 = 240
We know that every 4/5 children is a boy
Thus,
Number of boys: (4/5) * 240 = 192
By deducting the number of boys from the total number of children, we can calculate the number of girls which is
240-192= 48
There are 192 boys and 48 girls
The number of more boys than girls is -
192 - 48 = 144
Therefore, the religious gathering had 144 more boys than girls.
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Solve the system \[ \left\{\begin{array}{rrr} x_{1}+x_{2}+3 x_{3}= & -4 \\ 4 x_{1}+5 x_{2}+5 x_{3}= & 9 \end{array}\right. \] \[ \left[\begin{array}{l} x_{1} \\ x_{2} \\ x_{3} \end{array}\right]=[-[]+
x1 = -2, x2 = 1, and x3 = 5.5
This system of equations can be solved by first combining the equations and then isolating one of the variables. To combine the equations, subtract the first equation from the second equation:
4x1 + 5x2 + 5x3 = 9
- (x1 + x2 + 3x3 = -4)
3x1 + 4x2 + 2x3 = 13
Next, isolate one of the variables. In this case, let's isolate x3:
3x1 + 4x2 + 2x3 = 13
- (2x3) - (-2x3) = 0
3x1 + 4x2 = 13
x3 = \frac{13 - (3x1 + 4x2)}{2}
Now that x3 has been isolated, substitute it into one of the original equations and solve for the remaining two variables:
x3 = \frac{13 - (3x1 + 4x2)}{2}
x1 + x2 + 3\left(\frac{13 - (3x1 + 4x2)}{2}\right) = -4
Solve for x2:
x2 = \frac{-4 - x1 - 3\left(\frac{13 - (3x1 + 4x2)}{2}\right)}{4}
Substitute this expression for x2 into one of the original equations and solve for x1:
x1 + \frac{-4 - x1 - 3\left(\frac{13 - (3x1 + 4x2)}{2}\right)}{4} + 3\left(\frac{13 - (3x1 + 4x2)}{2}\right) = -4
Solve for x1 and then plug this value back into the expression for x2 to find x2:
x1 = -2
x2 = 1
x3 = \frac{13 - (-2 + 4x2)}{2}
x3 = \frac{13 - (-2 + 4 \cdot 1)}{2}
x3 = \frac{13 - 2}{2}
x3 = 5.5
Therefore, the solution to the system of equations is x1 = -2, x2 = 1, and x3 = 5.5.
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ABCD is a quadrilateral. a) Calculate the value of x. Optional working x = Answe b) When ABCD is drawn to scale, would the lines AD and BC be parallel or not? A You must justify your answer without using a scale drawing. Justify your answer Yes/No Answe D 3x° 2X° Diagram not drawn to scale to 24.70 C B
The value of x is 45 in the provided assertion, and the cointerior angles do sum up to 180°, indicating that AD and BC are parallel.
Why is parallel important?Parallel in mathematics refers to two lines which never cross one another; picture an equal symbol. Three close pals' parallel lives could be depicted in a tale.
(a)
3x + x + 2x + 90 = 360
6x = 360 - 90
6x = 270
x = 45
(b) The answer will be yes, they would be parallel.
We can justify this using co-interior angles, which state that 2 angles subtended by parallel lines add up to 180°
We can check this with both angles 3x & x, or 2x & 90°.
If AD and BC are parallel, then 3x + x = 180, and since you already found the value of x we can substitute this in:
3(45) + (45) = 180
135 + 45 = 180
180 = 180
So the co-interior angles do add up to 180°, which means that AD and BC are parallel.
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(b) Given a = [2,3,6x], b = [4,2 − x,3], and c = [−1,3,−7], (i) find the unit vectors d in terms of x that are perpendicular to both a and b; (ii) deter- mine the value(s) of x such that d × c has the maximum length. (Please leave your answer in surd form)
(i) The unit vector d that is perpendicular to both a and b is d = (1/|d|) *
[tex][6x^2 - 12x + 9, 24x - 6, -2x - 8][/tex]
[tex]= [(6x^2 - 12x + 9)/|d|, (24x - 6)/|d|, (-2x - 8)/|d|][/tex]
2) Value of [tex]X[/tex]
[tex]Xd|d × c|/dx = (8032x^3 - 21384x^2 + 63976x - 22470)/√(2008x^4 - 7128x^3 + 31988x^2 - 22470x + 9848) = 0[/tex]
It can be found by taking the cross product of a and b, and then dividing by the magnitude of the resulting vector. The cross product of a and b is given by:
[tex]d = a × b = [(3)(3) - (6x)(2-x), (6x)(4) - (2)(3), (2)(2-x) - (3)(4)]= [9 - 12x + 6x^2, 24x - 6, 4 - 2x - 12]= [6x^2 - 12x + 9, 24x - 6, -2x - 8][/tex]
The magnitude of d is given by:
[tex]|d| = √((6x^2 - 12x + 9)^2 + (24x - 6)^2 + (-2x - 8)^2)= √(36x^4 - 144x^3 + 216x^2 - 144x + 81 + 576x^2 - 288x + 36 + 4x^2 + 32x + 64)= √(36x^4 - 144x^3 + 796x^2 - 400x + 181)[/tex]
The unit vector d is then given by:
[tex]d = (1/|d|) * [6x^2 - 12x + 9, 24x - 6, -2x - 8]= [(6x^2 - 12x + 9)/|d|, (24x - 6)/|d|, (-2x - 8)/|d|][/tex]
(ii) To find the value(s) of x such that d × c has the maximum length, we can take the cross product of d and c and find the magnitude of the resulting vector. The cross product of d and c is given by:
[tex]d × c = [((24x - 6)(-7) - (-2x - 8)(3)), ((-2x - 8)(-1) - (6x^2 - 12x + 9)(-7)), ((6x^2 - 12x + 9)(3) - (24x - 6)(-1))]= [-168x + 42 + 6x + 24, 2x + 8 + 42x^2 - 84x + 63, 18x^2 - 36x + 27 + 24x - 6]= [-162x + 66, 42x^2 - 82x + 71, 18x^2 - 12x + 21][/tex]
The magnitude of d × c is given by:
[tex]|d × c| = √((-162x + 66)^2 + (42x^2 - 82x + 71)^2 + (18x^2 - 12x + 21)^2)= √(26244x^2 - 21384x + 4356 + 1764x^4 - 6964x^3 + 5988x^2 - 5834x + 5041 + 324x^4 - 432x^3 + 756x^2 - 252x + 441)= √(2008x^4 - 7128x^3 + 31988x^2 - 22470x + 9848)[/tex]
To find the maximum length of d × c, we can take the derivative of |d × c| with respect to x and set it equal to 0:
[tex]d|d × c|/dx = (8032x^3 - 21384x^2 + 63976x - 22470)/√(2008x^4 - 7128x^3 + 31988x^2 - 22470x + 9848) = 0[/tex]
Solving for x gives the value(s) of x that maximize the length of d × c. This can be done using a numerical method or by finding the roots of the polynomial in the numerator.
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Identify a variable inequality that describes the problem situation. Select the correct answer for each part of the equation.
Vigo earned $127.50 by washing driveways. He spent $70.35 on a new game console controller and then wanted to buy frozen meals that cost $5.99 each. How many frozen meals (x) could he buy while spending no more than his earnings? Also ty if you answer this I appreciate it <3
Answer: 57.15[tex]\geq[/tex] 5.99x
Step-by-step explanation:
127.5-70.35[tex]\geq \\[/tex]x
57.15[tex]\geq[/tex] 5.99x
Find the following for the given functions.
f(x) = x2, g(x) = 4x − 3
(f + g)(x)
(f − g)(x)
(fg)(x) =
(f/g)(x)
2.) Find the following for the given functions.
f(x) = x2 + 5, g(x) =
7 − x
(f+g)(x)
(f-g)(x)
(fg)(x)
(f/g)(x)
The first step in finding the given operations for the functions is to substitute the expressions for f(x) and g(x) into the operations.
For the first set of functions, f(x) = x2 and g(x) = 4x − 3, we have:
(f + g)(x) = f(x) + g(x) = x2 + (4x - 3) = x2 + 4x - 3
(f - g)(x) = f(x) - g(x) = x2 - (4x - 3) = x2 - 4x + 3
(fg)(x) = f(x)g(x) = x2(4x - 3) = 4x3 - 3x2
(f/g)(x) = f(x)/g(x) = x2/(4x - 3)
For the second set of functions, f(x) = x2 + 5 and g(x) = 7 - x, we have:
(f + g)(x) = f(x) + g(x) = x2 + 5 + (7 - x) = x2 - x + 12
(f - g)(x) = f(x) - g(x) = x2 + 5 - (7 - x) = x2 + x - 2
(fg)(x) = f(x)g(x) = (x2 + 5)(7 - x) = 7x2 - x3 + 35 - 5x
(f/g)(x) = f(x)/g(x) = (x2 + 5)/(7 - x)
The given operations are:
1.) (f + g)(x) = x2 + 4x - 3, (f - g)(x) = x2 - 4x + 3, (fg)(x) = 4x3 - 3x2, (f/g)(x) = x2/(4x - 3)
2.) (f + g)(x) = x2 - x + 12, (f - g)(x) = x2 + x - 2, (fg)(x) = 7x2 - x3 + 35 - 5x, (f/g)(x) = (x2 + 5)/(7 - x)
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(Please answer quickly!!!)Simplify negative 4 and 2 over 3 minus 7 and 3 over 4.
3 and 1 over 2 negative 11 and 1 over 12 negative 12 and 5 over 12 negative 28 and 1 over 2
The simplified expression is -12 and 5/12
What is expression ?In mathematics, an expression is a combination of symbols and/or numbers that can be evaluated or simplified to produce a certain value. Expressions can contain variables, constants, operators, and functions, and can be written in a variety of forms, such as algebraic expressions, trigonometric expressions, and exponential expressions.
According to given information :Negative 4 and 2 over 3 can be written as -(4 x 3 + 2) / 3 = -14 / 3
7 and 3 over 4 can be written as 7 x 4 + 3 / 4 = 31 / 4
Next, you need to find a common denominator for the two fractions, which is 12. To convert -14/3 to a fraction with a denominator of 12, you need to multiply the numerator and denominator by 4, giving you -56/12. To convert 31/4 to a fraction with a denominator of 12, you need to multiply the numerator and denominator by 3, giving you 93/12.
Finally, you can subtract the two fractions by subtracting their numerators and keeping the denominator the same:
(-56/12) - (93/12) = -149/12
To convert this improper fraction back to a mixed number, you can divide the numerator by the denominator and get a quotient of -12 with a remainder of -5.
Therefore, the simplified expression is -12 and 5/12 or -12.41667 (rounded to five decimal places).
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WILL MARK BRAINLEST JUST PLEASE ANSWER.
Answer: X=10
m<UXV = 46 degrees
Step-by-step explanation:
Angle WXV is 90 degrees, We know this because Angle VXY is 90 degrees, so it is the same on the other side Angle WXV is split into two angles (WXU, and UXV) to find UXV we subtract 44 from 90, which is 46 Degrees, Now we know 5x-4 is equal to 46, 46+4 is 50, 50/5 is 10, so x is 10
The value of x is, 10
And, The value of angle ∠ UXV is, 46°
Given that;
Angle 44° and ∠ UVX is made a right angle.
Hence, We can formulate;
⇒ 44° + ∠ UVX = 90°
⇒ 44° + (5x - 4)° = 90°
⇒ 44 + 5x - 4 = 90
⇒ 5x + 40 = 90
⇒ 5x = 90 - 40
⇒ 5x = 50
⇒ x = 10
Hence, The value of angle ∠ UXV is,
⇒ ∠ UXV = 5x - 4
= 5 × 10 - 4
= 50 - 4
= 46°
Thus, The value of x is, 10
And, The value of angle ∠ UXV is, 46°
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PLEASE HELP ASAP I WILL GIVE BRAINLIST!
A group of students are interested in creating a life-sized version of a Rubik's Cube, but they want to determine how much paint they will need to cover the entire cube. Their teacher tells them that, compared to an actual Rubik's Cube, their blocks have a scale factor of k=4.5
. In feet, what is the surface area of their Rubik's Cube?
Answer:
Step-by-step explanation:
OK so i'm not really good at this my self but i'll try my best to help you because I don't really do it for the points I do it because I like to help other people. OK so their blocks have a scale factor of k=4.5. OK so I don't know if this is right but what I would do is there are 8 sides to any cube and you have a scale factor of k=4.5 so I would multiply 4.5 and 8 to get a answer of 36ft.
Look at this diagram:
a) What fraction is shaded?
b) What percentage is shaded?
Diagram ⬇️
Answer:
fraction 3/9
percentage is 90%
Kendall just bought a coat at a 25% off sale. She spent $100 for the coat. The next day jolina bought the same coat, but it was not on sale. What is the ratio of what Jolina paid of the coat to what Kendall paid?
Jolina paid 33.33% more than Kendall paid for the coat, as she paid the full price while Kendall received a 25% discount.
To calculate this, first find out how much Kendall paid after the discount. If the original price of the coat was X, then Kendall paid 0.75X, since the discount was 25%. We know that Kendall paid $100 for the coat, so we can set up the equation 0.75X = 100 and solve for X. X turns out to be $133.33.
Since Jolina paid the full price of $133.33 for the coat, the ratio of what Jolina paid to what Kendall paid is:
133.33 / 100 = 4/3 or 1.33:1
Therefore, Jolina paid 33.33% more than Kendall paid for the same coat.
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Shaq shot 420 baskets in 14 minutes. Find his basket rate in baskets per minute.
Answer:
30 baskets per minute
Step-by-step explanation:
We know
Shaq shot 420 baskets in 14 minutes.
Find his basket rate in baskets per minute.
We take
420 / 14 = 30 baskets per minute
So, the answer is 30 baskets per minute.
Thomas is putting in a tile floor. He needs to determine the angles that should be cut in the tiles to fit in the corner. The angle in the corner measures 90°. One piece of the tile will have a measure of 24°. Write an equation, and use it to determine the measure of the unknown angle.
The equation can be written as: x + 24° = 90°.
The measure of the unknown angle is 66°.
How to write an equation, and use it to determine the measure of the unknown angle?An algebraic equation is an equation that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
Let the measure of the unknown angle be x.
Since the angle in the corner measures 90° and one piece of the tile will have a measure of 24°. We can write the equation as:
x + 24° = 90°
The measure of the unknown angle can be determined as follow:
x + 24° = 90°
x = 90° - 24°
x = 66°
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What is 2625/21 please iv been stuck on this for 3 hours bro
The radius of a cylindrical water tank is 5.5 ft , and its height is 16 ft. What is the volume of the tank? use 3.14 for pie and round to the nearest whole number will give brainliest
Answer:
8358 cubic ft
Step-by-step explanation:
the volume of a cylindrical tank is given by (πr^3)*hUse transformations of f(x)=x^(2) to gra h(x)=(x-5)^(2)+2 Use the grapning tool to grapn the runc
To graph the function h(x) = (x - 5)² + 2, we can use transformations of the function f(x) = x².
What a graph of a function represents?A graph of a function is a visual representation of how the output of the function relates to its input.
First, we need to shift the graph of f(x) 5 units to the left, which can be done by subtracting 5 from x in the function:
h(x) = (x - 5)² + 2 = (x - 5)² + 2.
Then, we need to shift the graph of f(x) 2 units up, which can be done by adding 2 to the function: h(x) = (x - 5)² + 2.
Using a graphing tool, you can then plot the points of h(x) to graph it.
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ALGEBRAIC EXPRESSIONS AND EQUATIONS Solving a linear equation with several occ Solve for w -3(w-1)=-5w+1 Simplify your answer as much as possible. w
To solve the equation -3(w-1)=-5w+1 for w, we will use the following steps:
Step 1: Distribute the -3 on the left side of the equation:
-3w + 3 = -5w + 1
Step 2: Combine like terms on both sides of the equation:
2w = -2
Step 3: Solve for w by dividing both sides of the equation by 2:
w = -1
Therefore, the solution for w is -1.
In HTML format, the answer would be:
<p>To solve the equation -3(w-1)=-5w+1 for w, we will use the following steps:</p>
<ol>
<li>Distribute the -3 on the left side of the equation:
-3w + 3 = -5w + 1</li>
<li>Combine like terms on both sides of the equation:
2w = -2</li>
<li>Solve for w by dividing both sides of the equation by 2:
w = -1</li>
</ol>
<p>Therefore, the solution for w is -1.</p>
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Translate to an inequality and then solve. Five subtracted from a number is greater than twenty-two.
The inequality for this statement is "x - 5 > 22". So, the solution to this inequality is "x > 27".
To translate the given statement into an inequality, we need to identify the variable, the constant, and the inequality sign. The variable is the unknown number, which we can represent with x. The constant is the number 22, and the inequality sign is greater than (>).
So, the inequality can be written as:
x - 5 > 22
To solve for x, we need to isolate the variable on one side of the inequality. We can do this by adding 5 to both sides of the inequality:
x - 5 + 5 > 22 + 5
Simplifying gives:
x > 27
So, the solution to the inequality is x > 27. This means that any number greater than 27 will make the inequality true.
In conclusion, the inequality that represents the statement "Five subtracted from a number is greater than twenty-two" is x > 27.
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Interpret the data in the circle graph. If 560 books were sold at the book fair, find the number of the books that were comic books. Click the icon to view the circle graph. If 560 books were sold at the book fair, of the books were comic books. (Type a whole number.) Help me solve this View an example Get more help. www
The number of comic books is given as follows:
P/100 x 560.
In which P is the percentage equivalent to comic books on the circle graph.
How to obtain the number of comic books?The number comic books sold at the book fair is given by the proportions in the context of the problem.
The circle graph gives the percentage out of each type of book, hence the percentage of comic books is given as follows:
P/100.
Then the amount of comic books is obtained multiplying the percentage by the total amount of 560 as follows:
P/100 x 560.
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