Answers
Answer:
Step-by-step explanation:
Lets understand how to solve the permutations.
Let the example is \(^{5}P_{2}\).
\(^{5}P_{2}=\frac{5!}{(5-2)!}\)
\(=\frac{5!}{3!}\)
= \(\frac{5\times 4\times 3\times 2\times 1}{3\times 2\times 1}\)
= \(\frac{5\times 4\times 3!}{3!}\) [Since 3×2×1 = 3!]
= 20
Now we will solve the question given,
Number of ways Dave can put 7 cars together = \(^{23}P_{7}\)
\(^{23}P_{7}=\frac{23!}{(23-7)!}\)
\(=\frac{23!}{16!}\)
\(=\frac{23\times 22\times 21\times 20\times 19\times 18\times 17\times 16!}{16!}\)
\(=23\times 22\times 21\times 20\times 19\times 18\times 17\)
\(=1235591280\)
Related Questions
For 15 hours of work, a plumber charges $435. If he charges the same amount for each hour of work, which table shows the correct relationship between what he charges and the number of hours he works?
The attachment shows the full problem
Answers
Answer:
29
Step-by-step explanation:
$435 divided by 15 is 29
(I think this is the equation)
Step by step explanation:
435\15 =29
29x3=87
29x5=145
And so on and so on
please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
Answers
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
To know more about functions and points:
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Please help, screenshot!
Answers
Answer:
4/7
Step-by-step explanation:
class total = 21
chance of picking one of 12 boys out of 21.
12/21 which can be simpilfied to 4/7
9 girls + 12 boys = 21
Boys/total = 12/21
12/21 divided by 3 = 4/7
what is 0/0+1000000000000/3.333333333333. Its unedentified but just take the free 100 points
Answers
Answer:
okay
Step-by-step explanation:
thanks for the points btw it's unedentified
Answer: The sun
Step-by-step explanation:
0/0=yellow
so you divide pi and add the area of green so thanks
Shelly is asked to put parentheses in the equation
14−8−5+6×2=23 so that it is true.
Choose the correct expression.
A. 14−8−(5+6)×2=23
B. 14−(8−5)+6×2=23
C. 14−8)−(5+6)×2=23
D. 14−(8−5+6)×2=23
Answers
Answer:
C)(14-8)-(5+6)×2=23
using bodmas
what is the result of 8 divided by 3/8
Answers
Answer:
21 \(\frac{1}{3}\)
Step-by-step explanation:
Don't really know how to explain this over a computer, other than use a calculator.
Hope that this helps!
Explanation:
Quite hard to explain but I did it but dividing 8 and 3 and and multiplying that answer by 8.
please help... I'm stuck
Answers
Here I'll help!
multiply all of those numbers u see thank me later! ( u can use a calculator for multiplying all the sides!
The spinner is divided into 8 congruent sections.
After 96 spins, how many times would Tiffany expect the spinner to land on a color section beginning with the letter "B"?
Answers
Answer:
48
Step-by-step explanation:
96/8=12*4=48
A group of students was surveyed in a middle school class. They were asked how many hours they work on math homework each week. The results from the survey were recorded.
Number of hours Total number of students
0 1
1 3
2 2
3 5
4 9
5 7
6 3
Determine the probability that a student studied for 5 hours.
23.0
0.70
0.23
0.16
Answers
The probability that a student studied for 5 hours is 0.23 Or 23%.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
A table is given where the first column represents the number of hours a student studied maths and the second column represents the number of students.
The sum of the second column is 30 so it is the total number of students
And only 7 of them studied mathematics for 5 hours.
Therefore, The probability that a student studied for 5 hours is,
= 7/30.
= 0.23 or 23%.
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Triangles ABC and DEC are similar. Side DE is 1.8 feet, side EC is 4 feet, and side BE is 0.8 foot.
Part A: Describe how to draw triangles ABC and DEC separately. Be sure to give the lengths of sides BC, DE, and EC in the description.
Part B: Find side AB. Show each step of your work.
Answers
The lengths of sides BC, DE, and EC in triangle DEC are given as \(4\) feet, \(1.8 feet,\) and 0.8 foot, respectively. The length of side \(AB\) is approximately \(3.36\) feet.
What is the line segment?Part A:
To draw triangles \(ABC\) and \(DEC\) separately, follow the steps below:
Draw a straight line segment DE with length \(1.8\) feet.
From point D, draw a line segment DC perpendicular to DE with length 4 feet.
Connect point E and point C with a straight line segment EC.
From point B, draw a line segment BE perpendicular to BC with length 0.8 foot.
Draw a straight line segment BC that intersects line segment DC at point A.
Connect point A and point B with a straight line segment AB.
The lengths of sides BC, DE, and EC in triangle DEC are given as \(4\) feet, \(1.8 feet,\) and 0.8 foot, respectively.
Part B:
Since triangles \(ABC\) and \(DEC\) are similar, their corresponding sides are proportional. Let x be the length of side AB. Then we have:
\(AB/DE = BC/EC\)
Substituting the given values, we get:
\(x/1.8 = BC/0.8\)
Solving for BC, we get:
\(BC = 0.8x/1.8\)
Since BC and EC are the two legs of a right triangle DEC, we can use the Pythagorean theorem to find BC:
\(BC^2 + EC^2 = DE^2\)
Substituting the given values, we get:
\((0.8x/1.8)^2 + 4^2 = 1.8^2\)
Solving for x, we get:
\(x = 1.8 * (sqrt(1.8^2 - 4^2)) / 0.8\)
\(x \approx 3.36 feet\)
Therefore, the length of side \(AB\) is approximately \(3.36\) feet.
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25 POINTS!! PRE-ALGEBRA MATH! PLEASE HURRY! I WILL GIVE BRAINLIEST!
Part B: Describe how you can make the line of the best fit. write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.
(please explain how you got the slope and y-intercept with the numbers from the question if you would like brainliest)
Answers
Answer: We are using a line regression tool to solve the parameters asked in the problem. We can use online tools or that of Excel. According to the tool, the best fit values are
Slope0.3848 ± 0.03956
Y-intercept0.6053 ± 0.6370
X-intercept-1.573
1/Slope2.598
Step-by-step explanation: Best fit lines make sure that the standard deviation at each point is minimum from the best fit line.
Answer:
Step-by-step explanation:
Slope0.3848 ± 0.03956
Y-intercept0.6053 ± 0.6370
X-intercept-1.573
1/Slope2.598
i need help with this question please help me
Answers
Answer:
The answer is D.
Step-by-step explanation:
y = mx + b
C = 5/9 (F - 32)
C = 5/9F - 5/9 (32)
Option (D) is correct.
Pls, help! A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 3. Find the probability of not rolling a number less than 3.
1/3; 2/3
1/2; 1/2
5/6; 1/2
1/6; 5/6
Brainlist for positive attitude and correct answer :D
Answers
Answer: The correct answer is:
Probability of rolling a number less than 3: 2/6 or 1/3
Step-by-step explanation:
Explanation: Out of the six possible outcomes (numbers 1, 2, 3, 4, 5, 6), there are two outcomes that meet the condition of rolling a number less than 3, which are 1 and 2. Therefore, the probability of rolling a number less than 3 is 2 out of 6, which simplifies to 1/3.
Probability of not rolling a number less than 3: 4/6 or 2/3.
Explanation: To find the probability of not rolling a number less than 3, we consider the outcomes that are not favorable (i.e., rolling a 3, 4, 5, or 6). There are four such outcomes, so the probability of not rolling a number less than 3 is 4 out of 6, which simplifies to 2/3. :D
i need someone to answer this ASAP
One company makes inflatable swimming pools that come in four sizes of rectangular prisms.
The length of each pool is twice the width and twice the depth.
The depth of each pool is a whole number from 5 to 8 feet.
If the pools are filled all the way to the top, what is the volume of each pool?
Answers
Answer:
The widths and depths are the same. Since volume is length x width x height, you get 2x2x4=16, 3x3x6=54, 4x4x8=128, 5x5x10=250
WILL GIVE BRAINLIEST
Answers
Answer:
\(-\frac{4}{7}\)
Step-by-step explanation:
Slope = \(\frac{-3-5}{7-(-7)}\) = \(\frac{-8}{14}\) =\(-\frac{4}{7}\)
you would first find the difference of the y values which equals -8. then you find the difference in x. this equals 14. since y goes over x that would be -8/14. this can be simplified to -4/7.
have a great day.
A grid model with 50 squares. 25 squares are shaded.
The grid model expressed as a ratio of shaded squares to total squares is
.
Written as an equivalent fraction, it is
.
Written as a decimal, it is
.
Written as a percent, it is
.
Answers
Answer:
1st 25/50
2nd=1/2
3rd=0.50
4th=50
Step-by-step explanation:
hope this helps:)
Answer:
1st 25/50
2nd=1/2
3rd=0.50
4th=50
Step-by-step explanation:
definetly didint copy this answer
The ratio of the perimeter of a regular hexagon to the length of one of its sides is always 6 to 1.
Complete the table.
Perimeter of hexagon (inches) 6 30 48
Side length of hexagon (inches) 1
9
Answers
Answer:
45
Step-by-step explanation:
6+30+48-1-9=45
Explanation: adding all number together equal 45
1/4 = 1/2 (r + 10)
pls help! i will give brainly
Answers
Answer:
The exact form is -19/2
Decimal form: -9.5
Mixed number form: -9 1/2
Step-by-step explanation:
Answer:
r = -9.5
Step-by-step explanation:
1/4 = 1/2(r + 10)
1/4 = 1/2r + 5
-5 -5
1/2r = -4 3/4
1/2 x 2/1 = -4.75 x 2/1 or (2)
r = -9.5
To check work:
1/4 = 1/2(-9.5 + 10)
1/4 = -4.75 +5
1/4 = 1/4
A group of students were asked which club they planned to join.
Club Percent of Students
Garden Club 0.1
Robotics Club 0.2
Technology Club 0.5
Zoology Club 0.2
Compare the probabilities of a randomly selected student joining a club and interpret the likelihood. Choose the statement that is true.
The student will be more likely to join the Robotics Club than the Garden Club because P(Robotics) > P(Garden).
The student will be equally likely to join the Robotics Club or Technology Club because P(Robotics) = P(Technology).
The student will be more unlikely to join the Zoology Club than the Robotics Club because P(Zoology) > P(Robotics).
The student will be more likely to join the Garden Club than the Robotics Club because P(Garden) < P(Robotics).
Answers
Answer:
It would be B
Step-by-step explanation:
Because zoology has a 0.2 percent chance and robotics have a 0.2 chance as well thus, making option B correct
Answer:
(a) The student will be more likely to join the Robotics Club than the Garden Club because P(Robotics) > P(Garden).
Step-by-step explanation:
You want to compare and interpret probabilities of joining a club, given the poll results in the table.
ProbabilitiesIn order of probability, greatest to least, students are planning to join the clubs ...
Technology > {Robotics, Zoology} > Garden
Comparing against answer choices we see ...
(a) more likely to join Robotics than Garden — True
(b) equally likely to join Robotics or Technology — false
(c) more unlikely to join Zoology than Robotics — false
(d) more likely to join Garden than Robotics — false
__
Additional comment
The intent of the numbers is to say that higher numbers indicate a greater probability of joining the corresponding club. When the numbers are equal, the probabilities are equal, so you cannot say one is greater than the other.
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Last week, Byron bought 5 containers of yogurt and spent $12.88 on other groceries.
This week Cassandra bought 3 containers of the same yogurt and spent $11.50 on other
groceries. How much more money did Byron spend than Cassandra?
1. Let c represent the cost of one container of yogurt. Write
expressions to represent the amount spent by Byron and the
amount spent by Cassandra.
Answers
Answer:
5x$12.88 - 3x$11.50=C
Step-by-step explanation:
help please. due soon
Answers
Answer:
5.89
Step-by-step explanation:
29.45 divided by 5
function expressed by formula y=-0.5x is there a value of x for which y=-150 if there is such value then solve it
Answers
Answer:
3000
Step-by-step explanation:
y=-.05x
y=-150
x*.05=150
150/.05=3000
Answer:
3000
Step-by-step explanation:
Please help me-
1yd 1 ft = _____ yd
Answers
Answer:
1 yard and 1 foot = 1 1/12 yards
Step-by-step explanation:
pls help me if u can and ty a lot
Answers
Answer:
k = 5.25
Step-by-step explanation:
y is directly proportional to x
y∝x
y = kx where k is the constant
if y is 84 and x is 16,
84 = 16k
k = 84/16 = 5 4/16 = 5.25
k = 5.25
Find the value of x.
Answers
Answer:
Step-by-step explanation:
Christina's town had an election last month. 189 people voted in the election and 36 did not vote. What percentage of the people voted?
Answers
Answer:
84%
Step-by-step explanation:
in photo
225×0.84
Answer:
Step-by-step explanation:
The percentage is the part/whole x 100 so we need to find the whole, which is 189+36=225 and the percentage is the amount of people who voted which is 189 and the part/whole x 100 is 189/225 = 0.84 0.84x100=84=84%
The Lakeside Legends, a broomball team, joined a 16-team league. They played each of their 15 opponents 3 times. Every broomball game lasts for exactly 2 hours. At the end of the season, how many hours had the team spent playing games?
Answers
Answer: 90
Step-by-step explanation:
if you multiply the number of times the house played each opponent
Since They played each of their 15 opponents 3 times (keyword 3 Times so you don’t get confused again)
It would be 15x3=45 this answer “45” is the amount of games they played
Now you times it by 2
45x2= 90
15*3=45
Then, 45*2=90
So the answer is 90.
From the anime Naruto, the character Madara bought two pair of shoes from Nike & Adidas.
The cost of the Nike is
ହ
of Adidas’s cost. If the Nike cost $84, how much is the Adidas?
Write & solve an Algebraic Equation.
Answers
Answer:
$163+x or$163x
Step-by-step explanation:
What is the common value for all of these expressions?
4.5 / 0.09 45 / 0.9 450 / 9 4,500 / 90
Answers
Pls help, will choose brainliest!
Answers
Answer:
$11
Step-by-step explanation:
February 14th is the 4th day after February 10th, so t=4 on the 14th. The price of pizza that day is ...
C(4) = 7 +4 = 11
The price of pizza on Valentine's Day is $11.
Now we look and use the second function because it has parameters 3 < t <= 8 and 4 is greater than 3 and less than or equal to 8. So our function is 7 + t for our price.
We plug in the 4 for our t and get 11$ (7 + (4))!