A business has seven locations to choose from and wishes to rank only the top three locations. How many different ways can this be done?
Answer: 210
Step-by-step explanation:
Given: total locations = 7
Number of locations wishes to rank = 3
If order of selection matters, then the number of permutations of r things from n= [tex]\dfrac{n!}{(n-r)!}[/tex]
The number of ways to rank 3 locations out of 7 [tex]=\dfrac{7!}{(7-3)!}=7\times6\times5=210[/tex]
Hence, the number of different ways required = 210
Simplify the expression and enter your answer below.
(191/99
Answer:
the correct answer is 1 92/99
Write in slope intercept form:
(1,4) slope= -2
Answer:
y = -2x + 6
Step-by-step explanation:
Slope-intercept form is:
y = mx + b
where m is the slope and b is the y-intercept.
So we are given a point, (1, 4), and a slope, -2, and we are asked to write the information into slope-intercept form. To write something directly into slope-intercept form, we need the y-intercept and the slope. Here, we are given a point, that is not the y-intercept, and a slope.
Instead of plugging for m and b in the equation for slope-intercept form, we can write the equation in point-slope form and then solve for slope-intercept form.
Point-slope form is:
y - y₁ = m(x - x₁)
where m is the slope and (x₁, y₁) is a point.
Lets plug in (1, 4) for (x₁, y₁) and -2 for m.
y - 4 = -2(x - 1)
Now lets solve for slope-intercept form. Distribute the -2 on the right side.
y - 4 = -2x + 2
Add 4 to both sides.
y = -2x + 6
And now we have the equation in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
Find the domain and the range of each relation. Use the vertical
Line test to determine whether each graph is the graph of a function.
Answer:
29) x> or equal to 0 and y= all real number
30) x= all real y> or equal to 0
what is 3(3x +2) = 9x-7
Answer:
No solutions
Step-by-step explanation:
3(3x + 2) = 9x + 7
9x + 6 = 9x + 7
9x - 9x = -6 + 7
0 = -1
No solutions
Hope this helps!
What is the product?
What is the quotient of -5.2 / 3.9 ?
-1.3 with a vinculum.
Is 4:5 equivalent to 8:10 as radios?
Please help me be right! Ordered pairs
Answer:
the answer is C
Step-by-step explanation:
both the ordered pair satisfy the equation
Multiply 2 3/4 x 1 1/3. Write your answer in simplest form
so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.
2 3/4 * 1 1/3
= 12 / 4 * 4/3
now multiply normally
= 48 / 12
divide this by 4/4 to get simplest for
= 12 / 3 divided by 3/3
= 4/1
Step-by-step explanation:
Need help with both 7 and 8
least common denominator of 7/2 and1/2
please help ??? Thanks
Answer:
Each y- value is determined by adding 4
Step-by-step explanation:
Find the equation of the graphed line.
The answer I put in was incorrect and I’m not sure why
Answer:
-3x + 2 = y
As the y-intercept is y = 3
And the rise/run = 3/-1
What is (1 x 10(5) + (3 x 10(3) + (7 x 10(2) in standard form?
A. 1,030,700
B. 1,037,000 I. C. 103,700
D. 1,370
03 = 1000
8. 10-5 = 1/100,000 = 0.00001
9. 109 = 1,000,000,000
10. 1 X 10-2 = 1/100Answer:
1. 100 = 102
2. 10,000,000 = 107
3. 1 / 10,000 = 10-4
4. one million = 106
5. 1 / 10,000,000 = 10-7
6. one ten millionth = 10-7
7. 1 = 0.01
Step-by-step explanation:
-14+6b +7-2b=1+5b what is answer?~PLEASE SHOW WORK 45 POINTS
Answer:
b=-8
Step-by-step explanation:
Sorry I don't have time to show work right now and write it down but this is the answer.
Answer:
b=8
Step-by-step explanation:
1.1 Pull out like factors :
-8 - b = -1 • (b + 8)
Solving a Single Variable Equation
2.1 Solve : -b-8 = 0
Add 8 to both sides of the equation :
-b = 8
Multiply both sides of the equation by (-1) : b = -8
how do i solve intervals
There are 40 players on Bill's football team, 2/5 of the players walk to practice and 1/4 of the players ride with their parents. The remaining players ride the bus. How many students ride the bus?
Answer:
22 students.
Step-by-step explanation:
There are a total of 40 players on the football team. 2/5 walk, 1/4 ride with their parents, and the rest ride the bus. To solve, I'm going to be using fractions to find out how many students ride the bus.
1/4 of 40 or 40/4 is equal to 10.
So we know 10 players ride with their parents.
2/5 of 40 or 40/5 is equal to 8.
Cool, 8 students walk to practice.
Now the rest ride the bus. Let's use addition to find the total amount of players that dont use the bus and subtract it from the total amount of players.
10+8=18
40-18=22.
22 students/players ride the bus to football practice.
An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than allowed by environmental regulations. They measure water temperatures at the cooling system input and the cooling system output for several different days in several different seasons. A list containing these measurements is below:
Sample Input Temp (deg F) Output Temp (deg F)
1 57.6 65.1
2 68.9 74.4
3 68.1 74.7
4 47.7 55.4
5 48.1 51
6 67.2 71.9
7 69.9 79.2
8 48.1 57.2
9 35 41.4
10 56 61
11 44.3 50.8
12 65 70.5
13 48.3 56.9
14 54.9 61.7
15 60.4 67.3
Do a statistical analysis on this data to determine if the temperature change between the input and output of the cooling system is different than 6 degrees.
1. What does your analysis indicate?
a. The cooling system changes the temperature of the water by an amount different than 6 degrees.
b. The cooling system changes the temperature of the water by 6 degrees.
2. What is the P-Value associated with your decision above?
a. 0.001
b. 0.026
c. 0.049
d. 0.070
e. 0.110
f. 0.131
g. 0.148
h. 0.201
i. 0.278
j. 0.289
Answer:
1
The correct option is b
2
The correct option is h
Step-by-step explanation:
From the question we are told that
The sample size is n = 15
The difference in population proportion is [tex]d = 6[/tex]
Generally the sample mean of the input temperature is
[tex]\= x_1 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}[/tex]
=> [tex]\= x_1 = 62.57 [/tex]
Generally the sample mean of the output temperature is
[tex]\= x_2 = \frac{\sum x_i }{n}[/tex]
=> [tex]\= x_2 = \frac{65.1 + 74.4 + \cdots +67.3 }{15}[/tex]
=> [tex]\= x_2 = 55.97 [/tex]
Generally the difference of the sample mean of the input temperature and that of the output temperature is
[tex]\= d = \= x_1 - \= x_2[/tex]
=> [tex]\= d = 62.57 -55.97[/tex]
=> [tex]\= d = 6.6[/tex]
Generally the standard deviation is mathematically represented as
[tex]s_d = \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }[/tex]
=> [tex]s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }[/tex]
=> [tex]s_d = 1.732 [/tex
Generally the test statistics is mathematically represented as
[tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 6-6.6 }{ \frac{1.732}{\sqrt{15} } }[/tex]
=> [tex]t = 1.3417[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n - 1[/tex]
=> [tex]df = 15 - 1[/tex]
=> [tex]df = 14[/tex]
Generally the probability of t obtained from the t - distribution table at a degree of freedom of [tex]df = 14[/tex] is
[tex]P(t >1.3417 ) = 0.10052569[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 * P(t > 1.3417)[/tex]
=> [tex]p-value = 2 * 0.10052569[/tex]
=> [tex]p-value = 0.201 [/tex]
From the values obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
The cooling system changes the temperature of the water by 6 degrees.
Direction: Arrange the following numbers in decreasing order. Write your answer on the blank provided below each number.
1. 89 000, 100 000, 55 000, 67 000-
2. 12 345, 23 456, 34 567, 45 678-
3. 98 765, 87 654, 76 543, 65 432-
Answer:
1. 100 000, 89 000, 67 000, 55 000
2. 45 678, 34 567, 23 456, 12 345
3. 98 765, 87 654, 76 543, 65 432-
11. Given a polynomial P(x) = x³-4x²-5x is one of the zeroes.
a) Factorise P(x) completely
b) Sketch the graph of P(x)
C)Find the domain and range.
Answer:
thats some tuff
Step-by-step explanation:
Answer:
Step-by-step explanation:
P(x)=x³-4x²-5x=x(x²-4x-5)
=x(x²-5x+x-5)
=x[x(x-5)+1(x-5)]
=x(x-5)(x+1)
domain (-∞,∞)
range: (-∞,∞)
Cost of bowling if it is $3 per game and $5 for shoes. Find the linear equation.
Answer:
y=3x+5
Step-by-step explanation:
Depending on how many games he has played that number where the x is. So let’s say he plays two games so what you’re going to do is plug the two in for the X so then it would be 2×3 which is 6 then you would do 6+5 because you still have the 5 left and it says to add.
That should be right and follow me if this helps.
2+2 this is for that one guy that answered my question he needs some more points and answers so imma help him out
I think it’s a boy honestly Idk
Answer:
I need more too lol the answer is 4
help wil give brainly if right
Answer:
I think it B as well as the other person I just learned this so I'm not the best at it
Which statement is true?
Answer:a
Step-by-step explanation:because the number equals the letter.
what is 1423 divided bye 789
Answer:
1.8
Step-by-step explanation:
Answer:
use calculator
Step-by-step explanation:
search calculator on google
Mr. Martin bought a microwave that was originally priced at $225. Using a coupon, he received a 30% discount on the microwave. What is the total price Mr. Martin will pay at the register if there is a 6% sales tax. Round your answer to the nearest cent if necessary.
Answer: 125 I think
Step-by-step explanation:
what is 3.14 x 11 x2
Answer:jurrhthrhth
Step-by-step explanation:hdhdbbdfh
Answer:
69.08
Step-by-step explanation:
I hope this helped!
PLEASE HELP These equations represent different possibilities for a waiter earning $11.25 for waiting on one table for one hour. The constant is the hourly rate and the coefficient represents the fraction of the bill, b, the customers left as a tip. Which equation correctly represents the hourly rate and tip for a bill of $30.00?
A. 5.00 + 1/6 b = 11.25
B. 5.25 +1/3 b = 11.25
C. 5.25 + 1/5 b = 11.25
D. 6.00 + 1/8 b = 11.25
Answer:
C
Step-by-step explanation:
Just took test n got it right
Answer:
C. 5.25 + 1/5 b = 11.25
Step-by-step explanation:
PLEASE HELP!!! I DON’T KNOW THISSS
Jenny has only 3 1/2 cups of flour in her house. She needs 1 5/8 cups for a brownie recipe. Her sister Jody needs 1 3/4 cup flour for her cookie recipe. Will there be enough flour for both recipes?
Answer:
yes, she will still have 1/8 of a cup left
Step-by-step explanation:
you have to convert all the fractions to have the same denominator.
to do that you need improper fractions
3 1/2= 7/2
1 5/8= 13/8
1 3/4= 7/4
with this information, you need to find a common number between 2, 8, and 4. the largest number that they all fit into is 8.
so 7/2 becomes 28/8
13/8 stays the same
and 7/4 becomes 14/8
add 13/8 and 14/8 and subtract from 28/8
you get 1/8, which means you have enough flower for both recipes!
Answer:
[tex]YES.[/tex]
Step-by-step explanation:
[tex]if \: 1 \frac{5}{8} + 1 \frac{3}{4} = 3.375 \\ and \\ 3 \frac{1}{2} = \: 3.5 \\ then \: 3.5 > 3.375[/tex]