Answer:
Option 3, 18.0
Step-by-step explanation:
To find the Hypotenuse of a right triangle, use the Pythagoras theorem:
\(a^{2} +b^{2} =c^{2}\)
(see image below)
(the longest side of any right △ is always C)
In this equation, we know A is 10 and B is 15, so plug in these numbers and solve for C
\(10^{2} +15^{2} =c^{2}\)
\(100 + 225 =c^{2}\)
\(325 = c^{2}\)
Now that the equation is simplified, we find the square root of 325 to solve for C.
\(\sqrt{325 = c^{2}}\)
\(18.0 = c\)
The final answer is C = 18.0
Hope this helps you understand :)
help help help plssss
Answer:
6.5
Step-by-step explanation:
bc I just no plus or it's 5
1. two lines that do not lie in the same plane parallel lines 2. planes that have no point in common skew lines 3. lines that are in the same plane and have no points in common parallel planes
1. Two lines that do not lie in the same plane and are parallel:
- Line 1: x = 2y + 3z
- Line 2: x = 2y + 3z + 5
In this case, both lines have the same direction vector, which is [2, 1, 0], but they do not lie in the same plane.
2. Two planes that have no point in common and are skew lines:
- Plane 1: x + 2y - z = 4
- Plane 2: 2x - 3y + z = 6
These two planes are skew because they do not intersect and have no common points.
3. Two lines that are in the same plane and have no points in common are not called parallel planes. In this case, they are referred to as coincident lines.
Parallel planes are planes that do not intersect and are always separated by a constant distance.
If you are looking for an example of parallel planes, here's one:
- Plane 1: x + 2y - z = 4
- Plane 2: x + 2y - z + 5 = 0
Both planes have the same normal vector [1, 2, -1], and they are parallel to each other.
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blood types refer to exercise 75. how surprising would it be to get more than 4 adults with type o blood in the sample? calculate an appropriate probability to support your answer
The probability is greater than 5%, it is not unlikely to obtain more than adults with blood type p(>4) =0.1402=14.02% and hence the result is not surprising.
In statistics, probability is the ratio of a number of possibilities in an entire sample of equal progression that produce a specific occurrence to the entire number of alternative possibilities.
Given that n=7 p=0.44, we can use the binomial probability
\(P (X=k)= \left \ {n} \atop {k}} \right. * p^k* (1-p)^n^-^k\left\)
P(X=5)=\(\left \ {7} \atop {5}} \right. *(0.44)^5*(0.66)^7^-^5\) ≈ 0.10861
P(X=6)= \(\left \ {7} \atop {6}} \right. *(0.44)^6*(0.66)^7^-^6\) ≈ 0.0284
P(X=7)= \(\left \ {7} \atop {7}} \right. *(0.44)^7*(0.66)^7^-^7\) ≈ 0.00321
P(X>4= P(X=5) + P(X=6)+ P(X=7)
= 0.1086+0.0284+0.0032
=0.1402
=14.02%
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What is the sum of 8 of the interior angles of a regular nonagon?
The sum of 8 of the interior angles of a regular nonagon is 1120 degrees.
A nonagon is a polygon with 9 sides and 9 interior angles. The sum of the interior angles of any polygon is given by using the method (n-2) × 180 degrees, wherein n is the number of sides.
Therefore, the sum of the interior angles of a nonagon is (9-2) × 180 = 1260 levels.
Because the nonagon is a regular polygon, every of its interior angles has the equal degree. To discover the measure of every attitude, we will divide the sum of the interior angles through the wide variety of angles.
Therefore, the degree of every interior perspective of a ordinary nonagon is 1260/9 = 140 ranges.
To discover the sum of 8 of the interior angles, we are able to simply multiply the measure of each attitude through eight, which gives:
8 × 140 = 1120 degrees
Thus, the sum of 8 of the interior angles of a regular nonagon is 1120 degrees.
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Guys, I’m back from nearly a year later went on hiatus on The Brainly because of myself as an anxiety and a very stressful year with A.D.H.D., and I really need help from my own schoolwork from my own school about, “A Perimeter Of The Composite Figures” with only 2 more perimeter questions left to go as soon as possible before it’s too late, please! :O
Please read it as soon as possible before answering to 2 of my own perimeter questions and thank you guys. :)
There’s only 55 points for you to answer to my own 2 of my own perimeter questions, guys! :D
Well good luck, guys! :D
Answer:
2. 26.2 m
3. 117.2 cm
Step-by-step explanation:
You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.
2. Semicircular archThe circumference of a circle is given by ...
C = πd . . . . . where d is the diameter
The length of the semicircle of diameter 12.6 m will be ...
1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m
The two lighted sides of the rectangle have a total length of ...
3.2 m + 3.2 m = 6.4 m
The length of the light string is the sum of these values:
19.8 m + 6.4 m = 26.2 m
The length of the string of lights is about 26.2 meters.
3. Fan shapeThe perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.
Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:
C = 2πr
C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm
The four straight sides total ...
4 × 11.4 cm = 45.6 cm
The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:
71.6 cm + 45.6 cm = 117.2 cm
The design has a perimeter of about 117.2 cm.
__
Additional comment
The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.
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Find the difference of the polynomials. Write the result in standard form.
(33r3s3-16rt7+72s5t2) - (24rt7 - 18s5+2 – 47r³s3)
A 8rt7+90s5t2 +80r3s3
B-40rt7 +54s5t2 -14r3s3
C 8rt7+54s5t2 -14r3s3
D-40rt7+90s5t2 +80r3s3
The difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.
What are polynomials?A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The given expression is (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³). The difference will be calculated as follows:-
Difference = (33r³s³-16rt⁷+72s⁵t²) - (24rt⁷ - 18s⁵t² – 47r³s³).
Separate the like terms in the polynomial and solve accordingly.
Difference = (33r³s³+ 47r³s³-16rt⁷- 24rt⁷+72s⁵t²+ 18s⁵t² ).
Difference = 80r³s³- 40rt⁷+ 90s⁵t²
Therefore, the difference of the polynomial is -40rt⁷+90s⁵t² +80r³s³. the correct option is D.
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On a recent utility bill, the water/sewer/garbage portion of the bill was $94.41. This consisted of 72% of the total bill. To the nearest cent, what was the total amount of the utility bill?
Answer: We can start by using the information given to find the total bill amount.
If the water/sewer/garbage portion of the bill is 72% of the total bill, then the remaining 28% of the bill must be for other utilities. We can use a proportion to set up the equation:
72/100 = 94.41/x
where x is the total bill amount.
We can cross-multiply and solve for x:
72x = 100 * 94.41
x = (100 * 94.41) / 72
x = 123.84
To the nearest cent, the total amount of the utility bill was $123.84.
Step-by-step explanation:
Diana uses 30 grams of coffee beans to make a 48 fluid ounces coffee. When guests come,she makes 96 fluid ounces of coffee. How many grams of coffee beans does Diana use when she has visitors?
Diana needs 60 grams of coffee beans to make 96 fluid ounces of coffee for her guests.
What does a percentage formula mean?Determine whether two ratios or fractions are equivalent using the proportion formula. Dividing the provided values will reveal the value that is missing. As an example of the percentage formula: A and d are the extreme terms, while b and c are the mean terms. Hence, b::c: d = a/b = c/d.
We can resolve the issue by using proportions.
The ratio of coffee beans to liquid ounces in Diana's ordinary coffee must first be determined.
48 fluid ounces / 30 grammes
By reducing the numerator and denominator by 6, we may simplify the ratio:
Eight fluid ounces/5 grammes
We can now apply this proportion to determine how many grammes of coffee beans Diana needs to prepare 96 ounces of coffee:
5 grams/8 fluid ounces = 96 fluid ounces x grammes
After cross-multiplying and finding x, we obtain:
x = (96 ounces * 5 grammes) / 8 ounces
x=60 grammes.
In order to prepare 96 fluid ounces of coffee for her visitors, Diana needs 60 grammes of coffee beans.
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What is the slope of the line in this graph?
please help my grade is on the line rn I think it's either 5/7 or 7/5
Which statements should be included when teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home
When teaching the client how to use sublingual nitroglycerin (SL NTG) for relief of chest pain at home, the following statements should be included to ensure proper usage and safety.
When instructing the client on the use of sublingual nitroglycerin (SL NTG) for chest pain relief at home, it is essential to cover the following key points:
1. Purpose and indication: Explain that SL NTG is used to relieve angina or chest pain caused by coronary artery disease. Emphasize that it is not meant for prevention but for immediate relief during an episode of chest pain.
2. Proper administration technique: Instruct the client to place the tablet or spray under the tongue and allow it to dissolve or spray it onto or under the tongue. Advise against swallowing or chewing the medication.
3. Dosage and frequency: Specify the appropriate dosage and how frequently the medication can be taken, as prescribed by their healthcare provider. Highlight the importance of following the prescribed dosage and not exceeding the recommended frequency.
4. Response time: Explain that SL NTG acts quickly and should provide relief within a few minutes. Inform the client to seek emergency medical assistance if the chest pain persists or worsens after taking one dose of SL NTG.
5. Storage and expiration: Educate the client on proper storage conditions, such as keeping the medication in its original container, away from light and moisture. Emphasize the importance of regularly checking the expiration date and replacing the medication when it expires.
6. Side effects and precautions: Discuss potential side effects such as headaches, dizziness, and low blood pressure, and advise the client to report any concerning or persistent side effects to their healthcare provider. Stress the importance of informing healthcare providers about the use of SL NTG before undergoing any medical procedures or taking other medications.
7. Emergency instructions: Instruct the client to call emergency services immediately if they experience severe chest pain or if their symptoms do not improve after taking SL NTG.
By providing clear instructions and addressing these important points, the client can effectively and safely use sublingual nitroglycerin for chest pain relief at home. However, it is crucial to consult with a healthcare professional for personalized guidance and to ensure proper usage based on the client's specific medical condition and needs.
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Mia needs 2 1/4 cups of fruit to make one serving of a
smoothie. How much fruit should she use if she is
making 5 servings?
Answer:
11.25 cups or simplified 11 1/4 cups
Step-by-step explanation:
you do 2 1/4 times 5
Answer:
\(11\frac{1}{4}\)
Step-by-step explanation:
Given the following question:
\(2\frac{1}{4} \times5\)
Each serving takes 2 1/4 cups of fruit...
How much to make 5 servings?
To find the answer we will have to multiply 2 1/4 by 5, since we are trying to find out how much it would take to make 5 smoothies.
\(2\frac{1}{4} \times5\)
\(2\frac{1}{4} =4\times2=8+1=9=\frac{9}{4}\)
\(\frac{9}{4} \times5\)
\(5=\frac{5}{1}\)
\(\frac{9}{4} \times\frac{5}{1}\)
\(9\times5=45\)
\(4\times1=4\)
\(=\frac{45}{4}\)
Convert into mixed number:
\(\frac{45}{4}\)
\(=\frac{45}{4}=45\div4=11\frac{1}{4}\)
\(=11\frac{1}{4}\)
Which means in order to make 5 servings of the smoothie, we need "11 1/4 cups" of fruit.
Hope this helps.
Two opposite angles of a parallelogram are 3x+4 and 5x-2 find measure of all angles of parallelogram
Answer:
=The opposite angles of a parallelogram are equal
=(3x+4)
=(5x-2)
=-2x=-6
=x=6+2
=x=3=
1st angle=3x+4=13
3rd angle=5x-2=13
=sum of adjacent side of angle is 180°
=Let the adjacent (2nd angle ) be y=
y+13°=180°
=y=180°-13°
=y=167°=
2nd angle=4th angle
=2nd angle=167°
=4th angle=167°
Step-by-step explanation:
This might be confusing, but I hope it helps <3
What is the surface area of this shape?
Anewer:
Step-by-step explanation:
Hey there!
Given figure is a triangular based prism. Where the triangle is right angled triangle.
So,
Hypotenuse (h) = 6.5m
Perpendicular (p) =2.5 m
Base (b) = 6m
Length of triangular prism (l) = 10m.
We have;
Lateral surface area= Perimeter*length of prism.
LSA = (6.5+2.5+6) * 10
LSA = 15*10
Therefore, LSA of the shape is 150 m².
Now, Area of base=( 1/2 )*b*p
= (1/2)*(6*2.5)
= 7.5 m²
Therefore, area of base = 7.5 m²
Now, TSA= 2*Area of base+LSA
= (2*7.5 + 150) m²
= 165 m²
Therefore, the Total surface area is 165 m².
Hope it helps....
Step-by-step explanation:
Hey there!
Given figure is a triangular based prism. Where the triangle is right angled triangle.
So,
Hypotenuse (h) = 6.5m
Perpendicular (p) =2.5 m
Base (b) = 6m
Length of triangular prism (l) = 10m.
We have;
Lateral surface area= Perimeter*length of prism.
LSA = (6.5+2.5+6) * 10
LSA = 15*10
Therefore, LSA of the shape is 150 m².
Now, Area of base=( 1/2 )*b*p
= (1/2)*(6*2.5)
= 7.5 m²
Therefore, area of base = 7.5 m²
Now, TSA= 2*Area of base+LSA
= (2*7.5 + 150) m²
= 165 m²
Therefore, the Total surface area is 165 m².
Hope it helps....
Ava graphs the function h(x) = x2 4. victor graphs the function g(x) = (x 4)2. which statements are true regarding the two graphs? select three options.
Regarding the graphs of the functions \(h(x) = x^2 - 4\) and \(g(x) = (x - 4)^2,\) the following statements are true:
The vertex of the graph of h(x) is located at (0, -4), while the vertex of the graph of g(x) is located at (4, 0).
The vertex represents the minimum or maximum point of the parabola.
The graph of h(x) opens upwards, indicating a positive coefficient for the \(x^2\) term, while the graph of g(x) also opens upwards due to the positive coefficient of the squared term \((x - 4)^2.\)
The graph of h(x) intersects the x-axis at x = -2 and x = 2, indicating the solutions to the equation \(x^2 - 4 = 0.\)
On the other hand, the graph of g(x) intersects the x-axis at x = 4, representing the solution to the equation \((x - 4)^2 = 0.\)
It's important to note that the graph of h(x) is a standard quadratic function, while the graph of g(x) is a quadratic function with a horizontal shift of 4 units to the right.
The differences in their vertex, x-intercepts, and shape indicate these variations between the two functions.
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Financial Literacy: Question 2Gordon opened a savings account with an initial deposit of $1,200.His balance will earn 2.5% simple interest overy year, Balley openeda savings account with an initial deposit of $900. Her balance willearn 3.25% interest compounded annually. The deposits were madeon the same day, and no additional money will be deposited orwithdrawn from the accounts. Which statement about the balances ofGordon's account and Balley's account at the end of 6 years is true?
Answer:
In 6 years form now, the balance in Gordon's account will be = {$1,200 x [1 + (2.5% x 6 years)]} = $1,380
his account will have earned = 2.5% x 6 years x $1,200 = $180 in interests over the six years
In 6 years form now, the balance in Bailey's account will be = $900 x (1 + 3.25%)⁶ = $1,090.39
his account will have earned = $190.39 in interests over the six years
Bailey's account earned more interest than Gordon's, even though his initial balance was much lower. This was due to higher interest rates and more important, because Bailey earned compound interest.
a+o=o+a=a prove
when a=[1/2 4/5]
Answer:
Step-by-step explanation:
if o is 0
1/2 + 0 = 0 + 1/2 = 1/2
4/5 + 0 = 0 +4/5 = 4/5
What concepts and procedures of the scientific method are being violated in this scenario? How would you devise a study to answer the research question in each scenario?
The concepts and procedures of the scientific method that are being violated in this scenario are: a. Lack of Control Group, b. Lack of Randomization, c. Lack of Blindness, d. Failure to Replicate, e. Extraneous and Confounding Variables.
Lack of Control Group: A control group is a group that is identical to the experimental group in every way except that they do not receive the treatment. It helps in determining whether the treatment has an effect. In this scenario, the lack of a control group makes it impossible to determine whether the treatment is responsible for the difference between the experimental group and the control group.
Lack of Randomization: Randomization is the process of assigning subjects to groups randomly. It ensures that each group is identical to the others in every way except for the treatment. In this scenario, the lack of randomization makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to differences between the groups.
Lack of Blindness: Blinding is the process of keeping the subjects unaware of whether they are in the experimental or control group. It ensures that the subjects do not change their behavior based on their knowledge of whether they are receiving the treatment or not. In this scenario, the lack of blindness makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to the subjects knowing which group they are in.
Failure to Replicate: Replication is the process of repeating the study to see whether the results are consistent. In this scenario, the failure to replicate the study makes it impossible to determine whether the results are consistent with previous studies.
Extraneous and Confounding Variables: Extraneous variables are variables that are not of interest to the researcher but that may have an effect on the outcome of the study. Confounding variables are variables that are not of interest to the researcher but that are related to both the independent and dependent variables.
In this scenario, the presence of extraneous and confounding variables makes it impossible to determine whether the differences between the experimental and control groups are due to the treatment or due to these variables.
Devise a study to answer the research question in each scenario: To devise a study to answer the research question in each scenario, we must consider the concepts and procedures of the scientific method. We must include a control group, randomization, blindness, replication, and control for extraneous and confounding variables.
To conclude, lack of a control group, randomization, and blindness, failure to replicate, and the presence of extraneous and confounding variables violate the concepts and procedures of the scientific method. To answer the research question in each scenario, we must devise a study that includes a control group, randomization, blindness, replication, and control for extraneous and confounding variables.
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Points X and Y are in plane Z. Any point collinear with X and Y is also in plane Z
pls need answer huhu =(
Answer:
yes above statement is true
Step-by-step explanation:
mark me as brainliest ❤️
\( \large \mathfrak{Answer : }\)
Yes, it's true that Any point that is collinear to points X and Y also lies in the same Z plane among X and Y.
how do you find the valume
Answer:
Volume = length x width x height.
You only need to know one side to figure out the volume of a cube.
The units of measure for volume are cubic units.
Volume is in three-dimensions.
You can multiply the sides in any order.
Which side you call length, width, or height doesn't matter.
Step-by-step explanation:
What is the value of x in the solution to the system of linear equations? y=3x+2
y=x-4
Point A is the incenter of triangle DEF. Point A is the incenter of triangle D E F. Lines are drawn from the points of the triangle to point A. Lines are drawn from point A to the sides of the triangle to form right angles and line segments A X, A Y, and A Z. Which must be true? Select three options Point A is the center of the circle that passes through points D, E, and F. Point A is the center of the circle that passes through points X, Y, and Z. Line segment Z A is-congruent-to line segment Y A Line segment E A is-congruent-to line segment F A Line segment A X is-congruent-to line segment A Y
Answer:
B C E
Step-by-step explanation:
Answer:
b c e
Step-by-step explanation:
find the expectation value of the position squared when the particle in the box is in its third excited state. answer this question with the correct coefficient of l2 for the expectation value.
The expectation value of the position squared when the particle in the box is in its third excited state is equal to \(\frac{9l^2}{8}\), where l is the length of the box. This is equal to nine-eighths of the length of the box squared.
The expectation value of the position squared when the particle in the box is in its third excited state can be calculated using the formula\(\langle x^2 \rangle = \frac{l^2}{8} \left( 2n^2 + 6n + 3 \right)\),
where n is the quantum number of the state and l is the length of the box. Here, n is 3, so the expectation value is equal to
\(\frac{l^2}{8} \left( 2 \times 3^2 + 6 \times 3 + 3 \right) = \frac{9l^2}{8}\).
This can be written as nine-eighths of the length of the box squared.
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3. Find x. Round to the nearest tenth. *
please help. in a geometric series A=2 and r=1/2,find the sum of the 5th term
The sum of the first five terms of the geometric sequence is given as follows:
3.875.
How to obtain the sum?The sum of the first n terms of a geometric sequence is given by the equation presented as follows:
\(S_n = \frac{A(r^n - 1)}{r - 1}\)
In which:
A is the first term.r is the common ratio.The parameters for this problem have the value given as follows:
A = 2, r = 0.5, n = 5.
Hence the sum is obtained as follows:
S = 2 x (0.5^5 - 1)/(0.5 - 1)
S = 3.875.
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A sample of 150 CBC students was taken, and each student filled out a survey. The survey asked students about different aspects of their college and personal lives. The experimenter taking the survey defined the following events: A
0.5133 the probability of the events \(B^{c}\) in the sample.
What is probability?
The chance that a given event will occur. (2) : the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.Total surveyed CBC students = n(T) = 150
Given A = The students has children
B = The students is enrolled in at least 12 credits
C = The students works at least 10 hours per week
n(A) = 44
n( B) =73
n (c) = 105
\(n(B)^{c}\) = n(T) - n(B)
= 150 - 73 = 77
\(pB^{c}\) = \(\frac{n(B)^{c} }{n(T)} }\) = 77/150 = 0.5133
Therefore, the probability of the events \(B^{c}\) in the sample = \(p(B^{c})\) = 0.5133
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The complete question is -
A sample of 150 CBC students was taken, and each student filled out a survey. The survey asked students about different aspects of their college and personal lives. The experimenter taking the survey defined the following events: A = The student has children B = The student is enrolled in at least 12 credits C = The student works at least 10 hours per week The student found that 44 students in the sample had children, 73 were enrolled in at least 12 credits, and 105 were working at least 10 hours per week. The student also noted that 35 students had children and were working at least 10 hours per week. Calculate the probability of the event Bº for students in this sample. Round your answer to four decimal places as necessary.
The temperature was -12 degrees in the morning and rose to a high of 27 degrees for the day.
What was the increase in temperature for the day?
27 degrees
39 degrees
12 degrees
15 degrees
Answer:
15
Step-by-step explanation:
because you have to add -12 with 27 and you get 15
Dominick is planning to take a vacation to either Orlando or Tampa Bay. He wants to go to the city that is warmer, on average. The box plot shows the temperatures from the previous year during the time that Dominick will take his vacation: box plot labeled Orlando with min at 64. 5, Q1 at 65. 5, median at 67. 5, Q3 at 71. 5, max at 72. 5. Box plot labeled Tampa Bay with min at 60, Q1 at 63. 5, median at 66. 25, Q3 at 72. 5, max at 74 Which city should Dominick visit, and why? He should visit Orlando. It has a greater IQR. He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average. He should visit Tampa Bay. The highest temperature occurred there. He should visit Tampa Bay. The range is very large, so there is a better chance that any given day will be warm.
Answer:
B. He should visit Orlando. The median is higher and the range is smaller, so the temperature is higher on average
Step-by-step explanation:
i took the test
decide whether each of the following problems involves a permutation or a combination and then work out the answer. (a) How many 4 digit numbers can be made from the digits 2, 3, 5, 6, 7 and 9 if no repetition of digits is allowed. (b) A student has to answer 8 out of 10 questions on an exam. How many different choices are there
(a) The answer is 360, and the problem involves a permutation.
(b) The answer is 45, and the problem involves a combination.
(a) This problem involves a permutation because the order of the digits matters. We need to determine how many 4-digit numbers can be formed without repetition from the given digits.
The number of choices for the first digit is 6 (since any of the 6 digits can be chosen). For the second digit, we have 5 choices remaining, then 4 choices for the third digit, and finally 3 choices for the fourth digit.
Therefore, the total number of 4-digit numbers without repetition is:
6 * 5 * 4 * 3 = 360
So, there are 360 different 4-digit numbers that can be made.
(b) This problem involves a combination because the order of the questions does not matter. We need to determine how many different choices the student has to answer 8 out of 10 questions on the exam.
The number of different choices can be calculated using the combination formula. The formula for combinations is:
nCr = n! / (r! * (n-r)!)
where n is the total number of items, and r is the number of items to be selected.
In this case, n = 10 (total number of questions) and r = 8 (number of questions to be answered).
Plugging the values into the formula, we have:
10C8 = 10! / (8! * (10-8)!)
10C8 = 10! / (8! * 2!)
10C8 = (10 * 9) / (2 * 1)
10C8 = 45
So, there are 45 different choices the student has to answer 8 out of 10 questions on the exam.
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The cost of admission to history museum is 3. 25$ per person over the age of 3; kids 3 and under get in for free. If the total cost of admission for the warrick family, including their two 6-month old twins, is 19. 50, find how many family members are over 3 years
There are 6 family members over 3 years old.
Let's assume that the number of family members over 3 years old is "x".
The cost of admission for each family member over 3 years old is $3.25. Since the twins are 6 months old, they are not counted in the total cost of admission. Therefore, the total cost of admission for the family, including the twins, is $19.50.
The equation representing the total cost of admission can be set up as:
3.25x = 19.50
To find the value of "x," we can divide both sides of the equation by 3.25:
x = 19.50 / 3.25
x = 6
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If a = b, then a - c = b - c. This is the ___________________ property of equality.
Answer:
communitive
Step-by-step explanation:
Answer:
communitive
Step-by-step explanation: