A t-distribution with 8 degrees of freedom has been graphed, and the shaded region under the curve to the right of t0.2 represents the probability of obtaining a t-value greater than t0.2. The area of this region is 0.2, which means there is a 20% probability of getting a t-value greater than t0.2 in this distribution.
1. Distribution: In this context, it refers to a statistical distribution, which is a function describing the probability of different outcomes in an experiment. Here, we have a t-distribution with 8 degrees of freedom.
2. Graphed: This means that the distribution is represented visually as a curve on a graph, with the x-axis representing the t-values and the y-axis representing their probabilities.
3. Region under the curve: In a probability distribution graph, the region under the curve represents the probabilities associated with different t-values. The area of this region corresponds to the probability of a particular outcome or range of outcomes.
4. Area of this region: In the given scenario, the shaded region under the curve to the right of t0.2 has an area of 0.2, indicating that the probability of obtaining a t-value greater than t0.2 is 0.2, or 20%.
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Neal dropped a small stone off a bridge that is 10m above the water. The height of the stone is given by the function, h(t) = -4.9t2 + t + 10, where h(t) is the height in metres and t is the time in seconds. How long will it take for the stone to hit the water?
There are two possible values for t: one positive and one negative. However, since time cannot be negative, we only consider the positive value: t ≈ 2.02 seconds; So, it will take approximately 2.02 seconds for the stone to hit the water.
To find out how long it will take for the stone to hit the water, we need to determine when h(t) equals 0 (since the water's surface is considered to be at height 0). We can use the given function: h(t) = -4.9t^2 + t + 10.
Set h(t) to 0 and solve for t:
0 = -4.9t^2 + t + 10
Now, we need to solve this quadratic equation for t. We can do this by applying the quadratic formula:
t = (-b ± √(b^2 - 4ac)) / 2a
In our case, a = -4.9, b = 1, and c = 10. Plugging these values into the formula:
t = (-(1) ± √((1)^2 - 4(-4.9)(10))) / 2(-4.9)
t = (-1 ± √(1 + 196)) / -9.8
t = (-1 ± √197) / -9.8
There are two possible values for t: one positive and one negative. However, since time cannot be negative, we only consider the positive value:
t ≈ 2.02 seconds
So, it will take approximately 2.02 seconds for the stone to hit the water.
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Chloe and bethany were walking home from the bus they decided to count how many steps it took to get from the bus to their house. Chloe counted three forty-seven. Bethany counted 300+30+6. Who counted more steps
Answer:
300+30+6= 336
The triangle above has the following measures. s = 31 cm r = 59 cm پار Find the m/Q. Round to the nearest tenth and include correct units. Show all your work.
The value of measure of angle Q is,
⇒ Q = 58.3 degree
We have to given that;
The triangle above has the following measures. s = 31 cm r = 59 cm
Now, We can formulate;
cos Q = s / r
cos Q = 31 / 59
cos Q = 0.525
Q = 58.3 degree
Thus, The value of measure of angle Q is,
⇒ Q = 58.3 degree
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when performing chest compressions on an adult, the sternum should be compressed:group of answer choices1/2 to 3/4 inch3/4 to 1 inch1 1/2 to 2 inchesat least 2 inches but no greater than 2.4 inches
The sternum should be compressed from 2 to 2.4 inches during perform a chest compressions on an adult. So, option(d) is right one.
Compared to Single CPR, CPR is 30 compressions for 2 breaths. Since the CPR guidelines were revised in 2015, the depth of chest compressions has changed from 2 inches to 2.4 inches. The amount of compression on the sternum in the middle of the chest should be 100-120 compressions per minute. When you do this, place your hands on your chest, release the pressure and allow your chest to return to its original position. These compressions should be fast and firm. Press about 2 inches on the chest and wait for the chest to rise. So, from above discussion it is clear that for an adults sternum should be compressed between 2 inches to 2.4 inches.
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(x - 1)/(x - 3) - (x ^ 2 - x + 2)/(x ^ 2 - 2x - 3) = 1/(x + 1) prove it
Answer:
Bellow
Step-by-step explanation:
To prove the equation:
(x - 1)/(x - 3) - (x ^ 2 - x + 2)/(x ^ 2 - 2x - 3) = 1/(x + 1)
we need to find a common denominator for the left-hand side of the equation. The common denominator is (x - 3)(x + 1)(x - 3), which is the product of all the factors in the denominators.
Using this common denominator, we can rewrite the left-hand side of the equation as:
[(x - 1)(x + 1)(x - 3) - (x ^ 2 - x + 2)(x + 1)] / [(x - 3)(x + 1)(x - 3)]
Simplifying the numerator using distributive property, we get:
[(x^3 - 2x^2 - 2x + 2) - (x^3 - 2x^2 - x - 2)] / [(x - 3)(x + 1)(x - 3)]
Simplifying the numerator further, we get:
(-x + 4) / [(x - 3)(x + 1)(x - 3)]
Now, we can simplify the right-hand side of the equation by multiplying both the numerator and the denominator by (x - 3)(x + 1), which gives us:
1 / (x + 1) = (x - 3)(x + 3) / [(x - 3)(x + 1)(x - 3)]
Therefore, the original equation can be written as:
(-x + 4) / [(x - 3)(x + 1)(x - 3)] = (x - 3)(x + 3) / [(x - 3)(x + 1)(x - 3)]
Cancelling the common factors on both sides, we get:
-x + 4 = x^2 - 9
Rearranging and simplifying, we get:
x^2 + x - 13 = 0
This is a quadratic equation that can be solved using the quadratic formula:
x = (-1 ± √(1 + 4*13)) / 2
Simplifying, we get:
x = (-1 ± √53) / 2
Therefore, we have proved that the equation:
(x - 1)/(x - 3) - (x ^ 2 - x + 2)/(x ^ 2 - 2x - 3) = 1/(x + 1)
holds true for all values of x except (-1, 3, 3 - √13, 3 + √13).
Answer:
Step-by-step explanation:
(x-1)/(x-3)-(x²-x+2)/(x²-2x-3)=1/(x+1)
[tex]\frac{x-1(x^{2}-2x-3)-x-3(x^{2}-x+2) }{x-3(x^{2} -2x-3)}[/tex] =0
[tex]\frac{(x^{3}-2x^{2} -3x-x^{2} +2x+3)-(x^{3}-x^{2} +2x-3x^{2} +3x-6) }{x^{3}-2x^{2} -3x-3x^{2} +6x+9}[/tex]=0
[tex]\frac{-7x^{2} +2x+9}{x^{3}-5x^{2} +3x+9 }[/tex] =0
-7x²+2x+9=x³-5x²+3x+9
x³-2x²-x=0
30 POINTS !
. The volume of a sphere is 6,000π m^3. What is the surface area of the sphere to the nearest square meter?
*
18850 m^2
33 m^2
1090 m^2
3425 m^2
The volume of a sphere is 6,000π m³. The surface area of sphere will be 3425 m². Option D is correct.
The volume of circle is how much air that a circle can be held inside it. The formula volume of sphere = (4/3)r³π can be used to calculate the volume of a sphere with radius r.
Volume of sphere: 6000 π m³( given)
Surface area of sphere = ?
volume of sphere = [tex]\frac{4}{3}[/tex] π r³
6000π m³ = [tex]\frac{4}{3}[/tex] π r³
r³ = [tex]\frac{6000 * 3}{4}[/tex]
r = 16.51 m ( approx.)
Surface area = 4 πr²
= 4 π × ( 16.51 )²
= 3425.19 m² ≈ 3425 m²
All of a sphere's surface points are equidistant from a common point, making it a three-dimensional geometric shape. The distance between the surface and the normal point is the range and the normal point is called focus of circle. Surface Area of Circle = 4πr², where r is the sweep of circle. A sphere is a solid figure with a curved surface that separates each point from the center at the same distance.
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Incomplete Question:
The volume of a sphere is 6,000π m³. What is the surface area of the sphere to the nearest square meter?
A. 18850 m²
B. 33 m²
C. 1090 m²
D. 3425 m²
A, B & C lie on a straight line.
D, C & E lie on a different straight line.
Angle
y
= 119° and angle
z
= 61°.
Work out
x
, explaining each stage of your working in the comment box.
Answer:
The answer for the value of x is 122°
anais bought yards of ribbon. she had feet inches of ribbon left after trimming some curtains. how many inches of ribbon did anais use to trim the curtains? anais used blank inches of ribbon. the solution is
Anais, who bought a ribbon of length [tex]2 \dfrac 12 [/tex] yards, and she trimming a curtain from it. From substraction, length of ribbon used in curtain is equals to 72 inches.
Word problems express in mathematical form. In subtraction, keywords that could signal the operation are lesser, less than, removed from. However, there are times when the idea of subtraction or taking away is inferred from the problem itself. In the problem, total length of ribbon Anais bought
= [tex]2 \dfrac 12 [/tex] yards
The length of ribbon left after trimming some curtains = 1 feet 6 inches
We have to determine inches of ribbon Anais use to trim the curtains. Let it will be equal to x inches . We may notice in the provide values that they all have different units. We can convert the all different units into inches. Using uint conversation, 1 yard = 36 inches
=> [tex]2 \dfrac 12 [/tex]
yards =[tex] 36 × \frac{ 5}{2} [/tex]
= 90 inches
Similarly, 1 feet = 12 inches, then 1 feet + 6 inches = 12 + 6 = 18 inches
Thus, the left ribbon length = 18 inches
Using substraction method, the length in inches of ribbon that anais use to trim the curtains = total length - left length of ribbon = 90 - 18
= 72 inches.
Hence, required value is 72 inches.
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Complete question:
Anais bought
[tex]2 \dfrac 12 [/tex]
yards of ribbon. She had 1 feet 6 inches of ribbon left after trimming some curtains. How many inches of ribbon did Anais use to trim the curtains?
1) State whether the angles are vertical or adjacent.
2) State whether the angles are complementary or supplementary.
3) Write an equation AND show your work to solve for the variable x.
Answer:
Adjacent, supplementary, found in explanation
Step-by-step explanation:
1. The angles above are adjacent.
2. The angles above are supplementary because the angles add up to 180⁰.
3. An equation for this could be
x+35=180
-35 on both sides
x=145⁰
If you cant read it then hears what it says. Quadrilateral ABCD is identical with quadrilateral A<->W B<->X C<->Y and D<->Z. I think u can read thw next BUT ITS DUE AS A TEST GRADE SO PLS HELP ME
Quadrilateral ABCD is identical with quadrilateral A<->W B<->X C<->Y and D<->Z.
Let us consider two identical quadrilaterals, ABCD and A' B' C' D', where each vertex of the first quadrilateral is mapped to a corresponding vertex of the second quadrilateral by a certain transformation. Specifically, vertex A is mapped to vertex W, vertex B is mapped to vertex X, vertex C is mapped to vertex Y, and vertex D is mapped to vertex Z.
Without more information about the nature of the transformation, it is difficult to say much about the quadrilaterals or their properties. However, some general observations can be made
Since the quadrilaterals are identical, their corresponding sides and angles are congruent.If the transformation preserves the orientation of the quadrilateral (i.e., it does not flip or reflect the shape), then the corresponding vertices will appear in the same order around the quadrilateral. For example, if ABCD is a clockwise-oriented quadrilateral, then A' B' C' D' will also be clockwise-oriented.If the transformation is a rigid motion (i.e., it preserves distances and angles), then the corresponding sides and angles of the two quadrilaterals will be congruent. In this case, the quadrilaterals will be congruent (i.e., they will have the same shape and size).If the transformation is not a rigid motion, then the corresponding sides and angles of the two quadrilaterals may not be congruent. In this case, the quadrilaterals will have different shapes and sizes.Hence, we can also add information about the transformation or the quadrilaterals in this type of problem.
The given question is incomplete.
The complete question is "How can we say that the quadrilateral ABCD and quadrilateral WXYZ is identical"
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What is the distance between the 2 points? (round to the nearest tenth)
Answer:
AB = √(2^2 + 5^2) = √(4 + 25) = √29 = 5.4
Emma brought $23. 75 to the art supply store. She bought a brush, a sketchbook, and a paint set. The brush was 1 /4 as much as the sketchbook, and the sketchbook cost 2/ 3 the cost of the paint set. Emma had $4. 50 left over after buying these items
The cost of the brush is $ 1.75 , The cost of the paint set is $ 10.5 and
The cost of the sketchbook is $ 7
The total amount Emma has is $23.75
Let the cost of paint set = x
Cost of sketchbook = 2x/3
Cost of brush = (1/6)x
23.75 = x + 2x/3 + x/6 + 4.50
23.75 - 4.50 = (6x + 4x +x)/6
19.25 × 6 = 11x
x = 10.5
Cost of sketchbook = 2x/3
Cost of sketchbook = (2 × 10.5)/3
Cost of sketchbook = 7
Cost of brush = (1/6)x
Cost of brush = (1/6)10.5
Cost of brush = 1.75
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PLEASE HELP
Calculate the total value of the investment given the following information and compounded continuously?
Principal $1000; rate 4.5%; term 10 years
Step-by-step explanation:
Continuous compounding formula :
FV = PV e^rt FV = future value PV = present value
r = decimal interest rate t = years
FV = 1000 e^(.045 * 10) = $ 1568.31
there are 25 2525 students in ms. nguyen's second-grade class. in the class election, 4 44 students voted for benjamin, 12 1212 voted for sahil, and 9 99 voted for maria. what percentage of the class voted for maria? % %
The percentage of the students of the class voted for Maria is 36%.
Number of students in Ms. Nguyen's second grade = 25
Number of students voted for Benjamín = 4
Number of students voted for Sahil = 12
Number of students voted for Maria = 9
The total number of students who voted in the class election is,
4 + 12 + 9 = 25
This is the same as the total number of students in the class.
So all students participated in the election.
The percentage of the class that voted for Maria is simply,
= (9/25) ×100
= 36%
Therefore, 36% of the students in Ms. Nguyen's second-grade class voted for Maria.
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The above question is incomplete, the complete question is:
There are 25 students in Ms. Nguyen's second-grade class. In the class election, 4 students voted for Benjamin, 12 voted for Sahil, and 9 voted for Maria. What percentage of the class voted for Maria?
Which description best describes the solution to the following system of equations? (1 point) y = −2x + 9 y = −x + 8 a Lines y = −2x + 9 and y = −x + 8 intersect the x-axis. b Lines y = −2x + 9 and y = −x + 8 intersect the y-axis. c Line y = −2x + 9 intersects the line y = −x + 8. d Line y = −2x + 9 intersects the origin.
The correct way to explain the solution of the given system of equation is at point ( 1, 7) given by option (c) Line y = −2x + 9 intersects the line y = −x + 8
System of equation are,
y = −2x + 9 and y = −x + 8
Solution to this system of equations,
The values of x and y should satisfy both the equations.
Equate the two equations to each other and solving for variable x.
⇒ −2x + 9 = −x + 8
like terms on same side of the equation,
⇒ x − 2x = 8 - 9
Solve for x,
⇒ −x = -1
Dividing both sides of the equation by −1 we get,
⇒ x = 1
Substitute the value of x in either equation of the line and get value of y.
⇒ y = −2x + 9
⇒ y = −2(1) + 9
⇒ y = -2 + 9
⇒ y = 7
Therefore, the solution representing system of equations is given by coordinate (1, 7) means option c. the line y = −2x + 9 intersects the line y = −x + 8 .
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Determine the percent of the data using a graphing calculator.
a: between z= 0.53 and z = 2.67
b: to the right of z= 1.61
The percentage of values from the z-scores are 29.43% and 5.40%,, respectively
Calculating the percentage of values of the z-scoresHere, we have
Between z = 0.53 and 2.67
This is represented as
Percentage = (0.53 < z < 2.67)
Using a graphing calculator, we have
Percentage = 29.43%
Next, we have
To the right of z = 1.61
This is represented as
Percentage = x > 1.61
Using a graphing calculator, we have
Percentage = 5.40%
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WILL GIVE BRAINIEST IF YOU GET IT RIGHT
Can someone please help me with this
answer must be on a piece of paper so i can upload it
Answer:
3.14 x y =
Step-by-step explanation:
6.88
Need help answering this white showing my work
Answer:
Median: 48
Range: 18
Step-by-step explanation:
The range: is calculated by subtracting the lowest value from the highest value
The median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list. If the number of data points is even, the median is the average of the two middle data points in the list.
The dollar value v (t) of a certain car model that is t years old is given by the following exponential function.
v (t) = 18,500 (0.84)'
Find the value of the car after 5 years and after 11 years.
Round your answers to the nearest dollar as necessary.
The initial value of the car will be $18,500 initial value and a $2717.85 value after 11 years.
We are Given that the dollar value v (t) of a certain car model that is t years old is given by the following exponential function .
The initial value will be at t= 0,
v (t) = 18,500 (0.84)'
v(t) = 18,500 x (0.84)⁰
v(t) = $18,500
The value of the car after 12 years will be
v(t) = 18,500 (0.84)^11
v(t) = $2717.85
Therefore, the car will have a $18,500 initial value
$2717.85 value after 11 years.
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The coordinates of the vertices of a trapezoid are D (3, 5), O (5, 5), G (5, 2), S (-1, 2). Trapezoid DOGS is translated 3 units to the left and 7 units down. What is the rule that describes the translation that was applied to trapezoid DOGS to create trapezoid D’O’G’S’?
Note that the rule that describes the translation that was aplied to the trapezoid D.O.G.S to create D'.O'. G'. S' is (x,y) → (x-3, y-7).
What is translation?A translation is a sort of transformation that involves sliding each point in a figure the same distance in the same direction.
Translation in geometry refers to shifting a form into a different place without affecting it in any manner. Shape translation is presented to Year 5 students by providing them shapes on squared paper that must be moved a specified number of squares up, down, left, or right.
Hence, the translation rule
that was aplied to the trapezoid D.O.G.S to create D'.O'. G'. S' is (x,y) → (x-3, y-7).
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Full Question:
Although part of your question is missing, you might be referring to this full question: See attached image.
ou pick a word at random from the set of all words of length six of letters of the alphabet with no repeated letters. what is the probability that the word has exactly one vowel?
The probability that the word has exactly one vowel is equal to 0.4419.
Number of letters in alphabet = 26
Total number of words of length = six
With no repeated letters that can be formed using 26 letters of alphabet.
²⁶P₆ = ( 26!) / ( 26 - 6)!
= 26 x 25 x 24 x 23 x 22 x 21
= 165,765,600
The number of words of length six with no repeated letters that have exactly one vowel,
Choose one vowel from the 5 available vowels,
⁵C₁ = 5! / (5-1)! 1!
= 5 ways
Choose 5 consonants from the remaining 21 consonants,
²¹C₅ = 21! / 16! 5!
= 20349 ways
Arrange the chosen vowel and consonants in 6 positions,
⁶P₆ = 720 ways
The total number of such words is equal to ,
⁵C₁ x ²¹C₅ x ⁶P₆
= 5 x 20349 x 720
= 73,256,400
Probability that a word chosen at random from set of all words of length 6 of letters of alphabet with no repeated letters has exactly 1 vowel is,
= 73,256,400/ 165,765,600
= 0.4419 (approximately)
Therefore, the probability is equal to 0.4419.
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Given the data below, what is the upper quartile? 4, 4, 1, 3, 8, 9, 15, 13, 4, 1 8.5 15 11 9
Answer:
Step-by-step explanation:
The answer would be 15.
It is 15 because you have to start from the left then mark the first one off then go to the right and continue that until you have one number left in the middle.
Next you will draw a little line under the first left number then go all the way to the middle number you got from marking off.
Then you will do the other side from the right to the left to the middle of the number you got from marking off.
Finally, you will go to the right side and you will do the same thing on the right side of the box you just created on the right and do the same mark off.
Assume multiplicity 1 unless otherwise stated
Answer:
f(x) = x^4 - 6x^3 + 18x^2 - 54x + 81
Step-by-step explanation:
We have a zero of 3 with multiplicity 2, and
since 3i is a root, -3i must also be a root.
f(x) = ((x - 3)^2)(x - 3i)(x + 3i)
f(x) = (x^2 - 6x + 9)((x^2 + 9)
f(x) = x^4 + 9x^2 - 6x^3 - 54x + 9x^2 + 81
f(x) = x^4 - 6x^3 + 18x^2 - 54x + 81
the college of business was interested in comparing the attendance for three different class times for a business statistics class. the data follow. day 8:00 a.m. class 9:30 a.m. class 11:00 a.m. class monday 25 30 25 tuesday 30 32 30 wednesday 32 35 40 thursday 32 40 39 friday 35 33 30 what is the critical value of the statistic for testing the hypothesis of equal treatment means at the 0.05 significance level? multiple choice 3.84 4.46 1.96 6.94
The critical value of the statistic for testing the hypothesis of equal treatment means at the 0.05 significance level is approximately option (a) 3.84
To find the critical value of the statistic for testing the hypothesis of equal treatment means at the 0.05 significance level, we can use an analysis of variance (ANOVA test) test
First, we need to calculate the total sum of squares (SST), which represents the total variability in the attendance data:
SST = ∑∑(Xij - X..)2
= (25-31.83)2 + (30-31.83)2 + ... + (30-31.83)2
= 351.83
where Xij is the attendance for the ith day and jth class time, X.. is the grand mean attendance, and the summation is over all observations.
Next, we need to calculate the between-groups sum of squares (SSG), which represents the variability in the attendance data that is due to differences between the class times
SSG = (∑nj(X.j - X..)2) / k
= [(25-32.17)2 + (30-32.17)2 + ... + (30-32.17)2 + (25-32.17)2 + (30-32.17)2 + ... + (30-32.17)2 + (25-32.17)2 + (30-32.17)2 + ... + (40-32.17)2] / 3
= 189.5
where nj is the number of observations for the jth class time, k is the number of groups (i.e., class times), and X.j is the mean attendance for the jth class time
Finally, we can calculate the within-groups sum of squares (SSW), which represents the variability in the attendance data that is due to differences within each class time:
SSW = SST - SSG
= 351.83 - 189.5
= 162.33
The degrees of freedom for the ANOVA test are:
dfG = k - 1 = 3 - 1 = 2 (degrees of freedom for the between-groups sum of squares)
dfW = N - k = 15 - 3 = 12 (degrees of freedom for the within-groups sum of squares)
dfT = N - 1 = 15 - 1 = 14 (total degrees of freedom)
where N is the total number of observations.
The F-statistic for the ANOVA test is
F = (SSG / dfG) / (SSW / dfW)
= (189.5 / 2) / (162.33 / 12)
= 5.87
To find the critical value of the F-statistic for testing the hypothesis of equal treatment means at the 0.05 significance level, we can look it up in an F-distribution table with dfG = 2 and dfW = 12. At the 0.05 level of significance, the critical value of the F-statistic is approximately 3.84.
Therefore, the correct option is (a) 3.84
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2. What is the value of x in the equation x² = 64?
A. x = ±8
B. x =
±16
C. X =
32
D. x = 128
Answer:
Step-by-step explanation:
To solve for x in the equation x² = 64, we need to take the square root of both sides of the equation. However, we need to consider both the positive and negative square root because the square of both a positive and negative number results in the same positive value. Therefore:
x² = 64
√x² = ±√64
x = ±8
So the solutions to the equation x² = 64 are x = 8 and x = -8.
Answer: Your answer is B X = 8, -8
Hope it helped :D
please help 30 points
Answer & Step-by-step explanation:
To solve this problem, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
In the triangle given, we can see that the lengths of the two shorter sides are 8 cm and 10 cm. We want to find the length of the hypotenuse.
Using the Pythagorean theorem, we can set up the equation:
a² + b² = c²
where a and b are the lengths of the two shorter sides, and c is the length of the hypotenuse.
Substituting in the values we know, we get:
8² + 10² = c²
Simplifying:
64 + 100 = c²
164 = c²
Taking the square root of both sides, we get:
c = sqrt(164)
c ≈ 12.8062
Therefore, the length of the hypotenuse is approximately 12.8062 cm.
Solve this word problem: A grocery store has a giveaway at their door. Every 15th customer receives a free shopping bag and every 9th customer receives a 25% off coupon. Which customer will be the first to receive both a shopping bag and a 25% off coupon?
Using the LCM, the first customer to receive both a shopping bag and a 25% off coupon is the 45th customer.
To find the first customer who will receive both a free shopping bag and a 25% off coupon, we need to find the least common multiple (LCM) of 15 and 9, since the shopping bags are given every 15th customer and the coupons every 9th customer.
Step 1: Find the prime factors of both numbers.
15 = [tex]3 * 5[/tex]
9 = [tex]3^2[/tex]
Step 2: Identify the highest power of each prime factor in both numbers.
3: [tex]3^2[/tex] (from 9)
5: [tex]5^1[/tex] (from 15)
Step 3: Multiply the highest powers of each prime factor together to find the LCM.
LCM(15, 9) =[tex]3^2 * 5^1[/tex] = [tex]9 * 5[/tex] = 45
So, the first customer who will receive both a free shopping bag and a 25% off coupon is the 45th customer.
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20 points!!Complete the table by finding the circumference and area of a circle with a radius of 279 inches. Substitute 3.14 for pi. Express your answers to the hundredths place.
fill in the blanks
thx
used to describe an atoms ability to chemically bond with another atom
Answer:
Electronegativity is used to describe an atom's ability to chemically bond with another atom.
Step-by-step explanation:
write the equation of the line in FULLY SIMPLIFIED SLOPE-INTERCEPT FORM.
( please give me the answer like that y=x-2 or / y=5x-4)
Photo of the graphing there !!!
The requried equation of the line shown in the graph is y = -5x + 6.
From the graph locate 2 points, (0, 6) and (1, 1)
The slope of the line is given as,
m = (1 - 6) / (1 - 0)
m = -5
Using the point-slope form of the equation of a line, we have,
y - y₁ = m(x - x₁)
where m is the slope of the line, and (x₁, y₁) is a point on the line. Substituting m =-5 and (x₁, y₁) = (0, 6), we get:
y - (6) = -5(x 0)
y = -5x + 6
Therefore, the equation of the line shown in the graph is y = -5x + 6.
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