They will need an additional 18/11 days to finish the job.
What is Equation?There are two sides to it—a left side and a right side—and an equals sign (=) divides them. The members of the equation are the expressions on either side of the equals sign.
From straightforward arithmetic equations like 2 + 2 = 4 to more intricate equations in algebra and calculus, equations can be used to represent a broad variety of mathematical connections.
By determining the values of the variables that make the equation true, equations are frequently employed to solve issues. This is usually accomplished by manipulating the equation with algebraic operations like addition, subtraction, multiplication, and division on both sides of the equation.
In a variety of disciplines, including physics, chemistry, and engineering, equations can also be used to simulate real-world occurrences. For instance, the equation [tex]d=1/2gt^2[/tex] can be used to represent the motion of an object falling, where d is the distance fallen, g is the acceleration caused by gravity, and t is the amount of time that has passed.
Assume that there are D total papers that need to be translated. Then, we can claim that Ann's daily translation rate is D/10 and that she can translate D documents in 10 days. Ben's daily translation pace is D/12 since he can translate D documents in 12 days.
While Ben is still waiting to start working, Ann begins translating the documents at her daily rate. The total amount of work that Ann has finished is (x/10)D after she has worked for x days. Now that Ben has joined them, they can finish the remaining (1 - x/10)D work jointly at a rate of (D/10 + D/12) papers per day. To find x, we can construct the following equation:
(x/10)D + [(1 - x/10)D]/[(D/10 + D/12)] = D
When we simplify the equation, we obtain:
x/10 + (12 - x)/15 = 1
When both sides are multiplied by the least common multiple of 10 and 15, or 30, we obtain:
3x + 2(12 - x) = 30
Solving for x, we get:
x = 6
So, before Ben starts working, Ann finishes (6/10)D = (3/5)D of the work, and the two of them together finish the remaining (2/5)D of the job at a combined rate of (D/10 + D/12) = (11/60)D per day. Therefore, the total number of days required to accomplish the work is:
(2/5)D / (11/60)D = 24/11 days
Ben and Ann will need to work an extra 24/11 - 6 = 18/11 days to finish the work because Ann has already put in 6 days of effort. As a result, they will need an additional 18/11 days to finish the job.
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PLEASEEEE HELP ME I NEEEED AN EXPERT TO DO THIS ):
Answer: B
Step-by-step explanation:
Answer:
The answer is B) -35.16 grams per half-life cycle
The temperature in an oven increases by 8 degrees every minute. If the starting temperature of the oven is 250. What will the temperature be in 3 minutes?
Answer: 274 degrees.
Step-by-step explanation:
If the temperature in an oven increases by 8 degrees every minute, then in 3 minutes the temperature will increase by 8 x 3 = 24 degrees.
Therefore, the temperature in the oven after 3 minutes will be:
250 + 24 = 274 degrees.
Please help!!! It would be highly appreciated!!!
Answer:
-x⁵ +3x² +3x +C
Step-by-step explanation:
You want the indefinite integral of (-5x⁴ +6x +3).
Power ruleThe power rule for integration is the reverse of the power rule for derivatives.
[tex]\begin{array}{ll}\text{Derivative:}&\dfrac{d(x^n)}{dx}=n\cdot x^{n-1}\\\\\text{Integral:}&\displaystyle\int {x^n}\,dx=\dfrac{x^{n+1}}{n+1}\end{array}[/tex]
ApplicationAn indefinite integral represents a family of functions, each with the same derivative. In general, they may differ by a constant. That constant is necessary to signify the functions that will have the given expression as their derivative.
[tex]\displaystyle\int {(-5x^4+6x+3)}\,dx=-5\dfrac{x^{4+1}}{4+1}+6\dfrac{x^{1+1}}{1+1}+3\dfrac{x^{0+1}}{0+1}=\boxed{-x^5+3x^2+3x+C}[/tex]
Use the X method to find the solutions of
6x2 + 2x – 20 = 0.
x =
-5
-2
1
2
x =
-10/3
-4/3
2/3
5/3
The values of x using the X method are x = -2 and x = 5/3, or in decimal form: x = -2, x = -1.33, and x = 0.83.
PolynomialsUsing the X method:
Step 1: Multiply the coefficients of the first and last terms: 6 × (-20) = -120.Step 2: Find two factors of -120 that add up to the coefficient of the middle term, which is 2. The factors are 12 and -10.Step 3: Rewrite the middle term using the two factors: 6x^2 + 12x - 10x - 20 = 0.Step 4: Group the first two terms and the last two terms: (6x^2 + 12x) + (-10x - 20) = 0.Step 5: Factor out the GCF of each group: 6x(x + 2) - 10(x + 2) = 0.Step 6: Factor out the common binomial factor (x + 2): (x + 2)(6x - 10) = 0.Step 7: Solve for x:x + 2 = 0 or 6x - 10 = 0
x = -2 or x = 10/6 = 5/3
Therefore, the solutions are x = -2 and x = 5/3, or in decimal form: x = -2, x = -1.33, and x = 0.83.
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The circumference of a circle is 7(pie)cm. What is the area, in square centimeters?
Express your answer in terms of TT(pie).
If circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
The circumference of a circle is 7π cm
We have to find the area of the circle
To find area we have to know the radius
Circumference = 2πr
7π= 2πr
r=7/2
= 3.5 cm
Area of circle = πr²
=3.14×(3.5)²
=3.14×3.5×3.5
=38.465 square centimeter
Hence, if circumference of a circle is 7π cm then area of circle is 38.465 square centimeter
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1. the general term of a sequence is 4n - 1 which time is a. 15 b. 83
Answer:
the answer of the sequence is a
A company boss is planning on ordering a gift for each of his employee in his company
The company boss is planning on ordering a gift for each of his employees.
This can be a great way to show appreciation for their hard work and dedication. When boss is planning to choosing gifts, it's important to consider the company culture and values, as well as the individual preferences and interests of each employee.
Some popular gift ideas include personalized items such as mugs or keychains, gift cards to local restaurants or stores, or company branded merchandise such as t-shirts or hats. Whatever the gift may be, it's important to make sure that it's thoughtful and meaningful to show that the boss truly values and appreciates the hard work of his employees.
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The exponential function P(x)
undergoes a transformation in the following graph.
The preimage of the transformation is labeled P(x),
and the image is labeled I(x).
The statements that correctly describe this transformation include the following:
B. the y-intercept changes from (0, -3) to (0, 3).
D. the x-intercept is not affected by the transformation.
E. the function is reflected in the x-axis.
G. I(x) = -P(x).
What is a transformation?In Mathematics and Geometry, a transformation can be defined as the movement of a point from its initial position to a new location. This ultimately implies that, when a function or object is transformed, all of its points would also be transformed.
In Mathematics and Geometry, a reflection over the x-axis is modeled by this transformation rule (x, y) → (x, -y). This ultimately implies that, a reflection over the x-axis would maintain the same x-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.
y-intercept = (0, -3) → y-intercept' = (0, -(-3)) = (0, 3).
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I know the answer is 9 but can someone explain it?
Answer:
A
Step-by-step explanation:
[tex]\frac{9x+7}{2}[/tex] - [ x - [ [tex]\frac{-2}{7}[/tex] ]] = 36← distribute bracket by - 1
[tex]\frac{9x+7}{2}[/tex] - x +[tex]\frac{x-2}{7}[/tex] = 36
multiply through by 14 ( the LCM of 2 and 7 ) to clear the fractions
7(9x + 7) - 14x + 2(x - 2) = 504 ← distribute parenthesis on left side
63x + 49 - 14x +2x - 4 = 504 ← simplify left side
51x + 45 = 504 ( subtract 45 from both sides )
51x = 459 ( divide both sides by 51 )
x = 9
1. In your own words, describe the following:
a.) Cartesian Coordinate System
b.) The uses of the system
c.) Who developed the system?
d.) Historically, why is the system unique?
2. Use the list below to write the correct term for each definition on the line provided.
axes (of a graph) coordinates coordinate grid intersection number line ordered pair
origin quadrant x-axis
x-coordinate y-axis y-coordinate
a.) the first number of an ordered pair
b.) the second number of an ordered pair
c.) any of four regions formed by the axes in a rectangular coordinate system
d.) the point at which two lines meet
e.) numbers that correspond to points on a graph in the form (x, y)
f.) the intersection of the x-axis and y-axis in a coordinate plane, described by (0,0)
g.) the horizontal and vertical number lines used in a rectangular graph or coordinate grid system as a fixed reference for determining the position of a point
h.) the vertical ( ) axis on a coordinate plane
i.) the horizontal ( ) axis on a coordinate plane
j.) a line on which numbers can be written or visualized
k.) the location of a single point on a rectangular coordinate system where the digits represent the position relative to the x-axis and y-axis Example: (x, y) or (3, 4)
l.) network of evenly spaced, parallel horizontal and vertical lines especially designed for locating points, displaying data, or drawing maps
The Cartesian Coordinate System is a method used to represent points in a plane by using two numerical values called coordinates
What is the Cartesian Coordinate System?a.) . These coordinates represent the distances of the point from a fixed reference point called the origin, along two perpendicular axes called the x-axis (horizontal) and y-axis (vertical).
b.) The system is used for various purposes, such as plotting points and lines in geometry, graphing functions in mathematics, analyzing data in statistics, designing objects in computer-aided design, and representing locations in geography and mapping.
c.) The system was developed by the French mathematician and philosopher René Descartes in the 17th century.
d.) Historically, the system is unique because it introduced a method of visualizing and analyzing geometric shapes and algebraic equations using a common framework, which enabled the development of analytic geometry and the fusion of algebra and geometry.
a.) x-coordinate
b.) y-coordinate
c.) quadrant
d.) intersection
e.) coordinates
f.) origin
g.) axes (of a graph)
h.) y-axis
i.) x-axis
j.) number line
k.) ordered pair
l.) coordinate grid
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10-
9
8
7
6
654321
AJ
B
1 2 3 4 5 6 7 8 9 10
a) What are the coordinates of A?
b) What are the coordinates of B?
X
The coordinates of B when it is given that A(5,-2) and M(12,6) is (29, 14).
How to find the coordinatesIf M is the mid-point of line segment AB, and the coordinates of A = (5,-2) while the coordinates of B = (12,6), then the coordinates of M = (8.5,2), which is what you stated that you got.
You are provided with M = (12,6) so you need to identify the coordinates of B. So, just ask yourself how did I get from A to M ? The answer is move 7 right and 8 up since 5 + 7 = 12 while -2 + 8 = 6. All you have to do is add 7 more to the x-value and 8 more to the y-value to obtain the correct answer of (19,14).
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Find the coordinates of B when it is given that A(5,-2) and M(12,6),
The downside of using an interface for integration is that the data will not be as ________ as it would be if it were integrated more directly.
A) accurate
B) timely
C) economical
D) valuable
The downside of using an interface for integration is that the data will not be as accurate as it would be if it were integrated more directly.
When it comes to integrating data between different systems or applications, there are different approaches that can be taken.
One common method is to use an interface, which acts as a bridge between the two systems and facilitates the exchange of data.
However, while interfaces can be useful for integrating data, there are some downsides to this approach, including the potential for reduced accuracy.
The reason for this is that interfaces often require data to be transformed or mapped between the two systems, which can introduce errors or inconsistencies.
For example, if the data in one system is stored in a different format or with different data types than the other system, this may need to be converted before it can be transferred.
Similarly, if there are differences in the way that data is organized or labeled in the two systems, this can create challenges when integrating the data.
In contrast, more direct methods of integration, such as database replication or data synchronization, can be more accurate since they involve copying data directly from one system to another without the need for transformation or mapping.
However, these methods can also be more complex and costly to set up and maintain.
Ultimately, the choice of integration method will depend on the specific needs and constraints of the organization. While interfaces may have some drawbacks in terms of data accuracy, they can still be a useful tool for integrating data in many situations.
It is important to carefully consider the tradeoffs between different integration methods and choose the one that best meets the needs of the business.
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Suppose a normal distribution has a mean of 16 and a standard deviation of 4.
A value of 26 is how many standard deviations away from the mean?
Responses
−2.5
negative 2.5
−1.5
negative 1.5
1.5
1.5
2.5
A value of 26 is 2.5 standard deviations away from the mean.
To find the number of standard deviations away from the mean, we can use the formula:
z = (x - μ) / σ
where x is the value we want to convert to a z-score, μ is the population mean, and σ is the population standard deviation.
In this case, the value we want to convert is x = 26, the population mean is μ = 16, and the population standard deviation is σ = 4. Substituting these values into the formula, we get:
z = (26 - 16) / 4 = 2.5
This means that the value of 26 is 2.5 standard deviations away from the mean. Since the z-score is positive, we know that the value of 26 is above the mean. Therefore, the answer is option D, 2.5.
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Ima be giving brainliest plus help!!!!!!!
Answer:
32 degrees
Step-by-step explanation:
Recall the three main trig functions: sine, cosine, and tangent.
When using sine, we divide the opposite side from the angle by the hypothenuse.
When using cosine, we divide the adjacent side of the angle by the hypothenuse.
When using tangent, we divide the opposite side from the angle by the adjacent side to the angle.
Since we are given the opposite and adjacent sides, we'll use tangent.
We set up the equation like normal:
tan x [tex]= \frac{13}{21}[/tex]
Now, when finding the angle measurement using trig, we must use the opposing trig function, arcsine, arccosine, and arctangent. The opposing trig function is arctangent. We have to move arctangent to the other side, so that it can be used with the fraction, so:
[tex]x = arctan(\frac{13}{21} )[/tex]
(You would also write arctan, as tan with an exponent of -1) Now, just punch the right side of the equation into a calculator. The nearest degree is 32.
Therefore, the answer is 32 degrees. If you got something different, make sure your calculator is in degrees, not radians! (They are usually abbreviated as DEG and RAD.)
In the 30-60-90 triangle below side s has a length of And hypotenuse has a length of
Answer:
D. √3 ; 2
Step-by-step explanation:
30/60/90 triangles have sides of 1/√3/2 respectfully.
30 pairs with 1, 60 pairs with √3, 90 pairs with 2.
the angles pair with whatever side it is directly diagonal to.
i hope this helped you in some way! let me know if you are confused.
edit: my brainly keeps messing up my text
how many pattern block triangles would i need to make 4 hexagons
Answer:
4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles
Step-by-step explanation:
Pattern blocks are a set of geometric shapes commonly used in math education. The set typically includes six different shapes: triangle, rhombus, trapezoid, hexagon, square, and equilateral triangle. Each hexagon in a pattern block set is made up of six equilateral triangles.
To make 4 hexagons using pattern blocks, we would need to calculate the total number of equilateral triangles required. Since each hexagon is made up of 6 equilateral triangles, we can multiply the number of hexagons by 6 to get the total number of equilateral triangles needed.
4 hexagons * 6 equilateral triangles per hexagon = 24 equilateral triangles
So, you would need 24 pattern block triangles to make 4 hexagons using pattern blocks.
Answer:
Let's use pattern blocks to visualize the situation and say that a hexagon is 1 whole. Since 3 rhombuses make a hexagon, 1 rhombus represents and 2 rhombuses represent . We can see that 6 pairs of rhombuses make 4 hexagons, so there are 6 groups of in 4.
PLEASE HELP ME WHOVER GEST IT RIGHT WILL BE THE BRAINLIEST
Answer:
Step-by-step explanation:
<ABC is 72 degrees.
1) This triangle is isosceles because two sides are equivalent. Thus, <C and <B are the same.
2) We know that <A + <B + <C = 180 in total
3. x + 2x + 2x = 5x
5x = 180
x = 36
4. <ABC = 2x = 2(36) = 72
What is 475. 189 475. 189 rounded to the nearest hundredth?
After rounding 475.189 to the nearest hundredth we get 475.19 .
Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.
Rules of rounding a number to its nearest hundredth is,
The original number would be rounded up to two decimal places as it represents to its hundredth decimal place.
If the digit after the second decimal place of the original number is greater than (equals to) 5 then we round up the number, by increasing the previous place value digit by 1.
And if the digit after the second decimal place of the original number is lesser than 5 then we round down the number, by decreasing the previous place value digit by 1.
Here in 475.189 the digit after second decimal is 9 which is greater than 5, hence we round up the number by increasing the previous value (that is, second decimal digit) by 1 we get 475.19 (to the nearest hundredth).
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Please help me I cant solve this
The measure of the angle m∠HLK subtended by the arc HK is derived to be equal to 45°.
What is angle subtended by an arc at the centerThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference.
Given that the arc HK = 90°
arc measure and the angle it subtends at the center of the circle are directly proportional.
so arc HK = m∠HJK = 90°
m∠HJK = 2(m∠HLK)
2(m∠HLK) = 90°
m∠HLK = 90°/2 {divide through by 2}
m∠HLK = 45°
Therefore, the measure of the angle m∠HLK subtended by the arc HK is derived to be equal to 45°.
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DUE FRIDAY PLEASE HELP !!!!
Answer:
The same line.
Step-by-step explanation:
We have to decide whether the lines are perpendicular, neither parallel nor perpendicular, parallel, or the same line. We can check if a line is perpendicular by finding the slope. The line is perpendicular if the slope of one line is the negative reciprocal of the second line.
Let's try to solve for the Y-intercept (where X = 0) of both of these functions.
y + 3x = -4
y + 3(0) = -4
y + 0 = -4
:. y = -4
And now the other one:
y = -3x-4
y = -3(0) - 4
:. y = -4
Since y = -4 in both cases, well, now we have our answer. The answer is it's the same line, so the fourth answer is correct. All the other ones - perpendicular, neither parallel nor perpendicular, and parallel - are incorrect by process of elimination. We don't actually have to keep going from here. But we can (although I won't).
how do i bypass the answer limit on here
Answer: by watching videos
Step-by-step explanation:
Answer: Watch a video or do your best to scroll down as soon as the website loads. The scrolling worked for me before but you get about 5 seconds before you can't see it anymore.
Step-by-step explanation:
what is the difference between 1/2 and 1/2%
Answer:
1/2 is half a number while 1/2% means 50%
Question 11 (Multiple Choice Worth 5 points)
(Multi-Step Linear Equations MC)
Determine the value of x in the equation.
Infinite solutions
O No solution
Ox= 1
Ox= 3
As a result, the value of x in the equation is zero. option b is correct no solution.
How to solve the multi-step linear equation?To find x, we will first simplify both sides of the equation by spreading the coefficients as follows:
5/7 * (x + 2) - 3/7x = 2/7(x + 5)
5/7x + 10/7 - 3/7x = 2/7x + 10/7
Then, on each side of the equation, we'll combine like terms:
(5/7x - 3/7x - 2/7x) + 10/7 = 10/7
To simplify the coefficients even further, we have:
(10/7x) + 10/7 = 10/7
Subtraction of 10/7 from either side:
10/7x = 0
Finally, by multiplying both sides by the reciprocal of 10/7, we may find x:
x = 0 * 7/10
x = 0
As a result, the value of x in the equation is zero. option b is correct no solution.
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The radius of a circle is 9 inches. What is the area of the circle to the nearest tenth? Question 2 options: 28.3 square inches 56.5 square inches 224.8 square inches 254.3 square inches
The area of the circle rounded of to the nearest tenth having radius 9 inches is 254.3 square inches.
Hence option d is the correct answer.
The radius of a circle is, say r = 9 inches
The formula of calculating area of a circle is,
Area = πr² (square units)
= π(9)² square inches
= 81π square inches
Let us take π= 3.14 (approximated up to two decimal places).
Thus, area of the circle = 81(3.14) square inches = 254.34 square inches
Rounding of a number is a process of approximating the original number to some decimal points resulting the original number to shorten up for more explicit representation.
Rounding of a number to its nearest tenth gives the original number to round of to one decimal place.
Here Area = 254.34 square inches is rounded of to the nearest tenth is 254.3 square inches, since the digit after the first decimal place of the original number is lesser than 5 then we round down the number by decreasing the previous place value digit by 1.
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Celine is training to run a marathon. During her training, she kept track of how much time
she spent running on the treadmill inside and on a trail outside each week. These box plots
show the results.
Where was there more variation in the amount of time Celine spent running?
Answer:
There was more variation in her time spent running outside.
Step-by-step explanation:
This is because the range for running outside is larger.
To find range you subtract the largest number in the data by the smallest.
RANGE FOR INSIDE: 150 - 25 = 125
RANGE FOR OUTSIDE: 200 - 50 = 150
Since the range is larger for the time outside spent running, there is more variation.
I will give u brainliest
option 1 is correct , trigonometric ratio to solve for the missing side is sine.
How can we find the trigonometric ratio ?we have an angle of 54 degrees and a hypotenuse of 12 units. We can use trigonometric ratios to solve for the missing side, which is the perpendicular side.
In a right triangle, the three primary trigonometric ratios are:
Sine (sin): the ratio of the length of the side opposite the angle to the hypotenuse.
Cosine (cos): the ratio of the length of the side adjacent to the angle to the hypotenuse.
Tangent (tan): the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.
Given that we know the hypotenuse (12 units) and the angle (54 degrees), we can use the sine ratio to solve for the length of the perpendicular side. The sine ratio is defined as:
sin(x) = opposite/hypotenuse
Plugging in the given values:
sin(54 degrees) = opposite/12
To solve for the length of the perpendicular side (opposite), we can rearrange the equation:
opposite = sin(54 degrees) * 12
Using a calculator, we can find the value of sin(54 degrees) and multiply it by 12 to find the length of the perpendicular side.
therefore, option 1 is correct , trigonometric ratio to solve for the missing side is sine.
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Han draws a triangle with a 50 angle, a 40 angle, and a side of length 4 cm as shown. His instructions were to draw as many triangles as possible.
According to the information, We can continue drawing more triangles by varying the angles in different ways.
How to draw triangles?Since the given triangle has one side with a fixed length of 4 cm, we can draw an infinite number of triangles by varying the other two angles.
To draw the second triangle, we can keep the 50 degree angle fixed and change the 40 degree angle. For example, we could draw a triangle with a 50 degree angle, a 60 degree angle, and a side of length 4 cm.
To draw the third triangle, we can keep the 40 degree angle fixed and change the 50 degree angle. For example, we could draw a triangle with a 30 degree angle, a 40 degree angle, and a side of length 4 cm.
We can continue drawing more triangles by varying the angles in different ways.
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What is the probability that a randomly selected man is shorter than 65 inches?
The probability that a randomly selected man is shorter than 65 inches can be determined using the concepts of normal distribution and z-scores.
Step 1: Determine the average height and standard deviation :
Assuming the average height (μ) for men is 69 inches and the standard deviation (σ) is 3 inches. These values are commonly used in such problems and can vary based on the specific population being considered.
Step 2: Calculate the z-score :
We want to find the probability of a man being shorter than 65 inches. The formula for the z-score is: Z = (X - μ) / σ Here, X is the target height (65 inches), μ is the average height (69 inches), and σ is the standard deviation (3 inches).
Substituting values to calculate the z-score: Z = (65 - 69) / 3 Z = -4 / 3 Z ≈ -1.33
Step 3: Determine the probability :
Using a z-score table or a calculator with a normal distribution function, we can find the probability that corresponds to the calculated z-score of -1.33. The table will show a value of 0.092 (approximately) for the z-score of -1.33.
Thus, the probability that a randomly selected man is shorter than 65 inches is approximately 9.2%.
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8(m + 4) as a equilalent expression
Hence, the equivalent expression of 8(m + 4) is 8 m + 32.
What is the expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
What is the equivalent expression?Two expressions are equivalent if they can be simplified to the same third expression or if one of the expressions can be written like the other. In addition, you can also determine if two expressions are equivalent when values are substituted in for the variable and both arrive at the same answer.
we know that, the distributive property of multiplication over addition,
that is a(b + c) = ab + ac.
So, apply this property in 8(m + 4),
than we get:
8(m + 4) = 8 m + 8(4)
8(m + 4) = 8 m + 32
Therefore, the equivalent expression for 8(m + 4) is 8 m + 32.
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Find the length of the third side. If necessary, round to the nearest tenth.
13
12
Answer:
17.7
Step-by-step explanation:
using the pythagorean theorem, plug in and solve.
hi
with Pythagoras we have :
13²+12² = 313
so answer is [tex]\sqrt{313}[/tex] ≈ 17.7 rounded.