Answer:
The people can seat themselves in 20160 different ways.
Step-by-step explanation:
Arrangements of n elements:
The number of arrangements of n elements is given by the following formula:
[tex]A_{n} = n![/tex]
In this question:
For the first seat, that is, the driver seat, 4 possible people can sit.
For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So
[tex]T = 4*7! = 4*5040 = 20160[/tex]
The people can seat themselves in 20160 different ways.
Please need help thank you
What is the y- intercept of the line * 3y=5x+12
Select the improper fraction that is not equivalent to the whole number 6
18/3
6/1
54/3
54/9
Answer:
54/3=18
Step-by-step explanation:
18/3=6
6/1=6
54/9=6
Find the difference.7/14−3/14= help
Answer: [tex]\frac{4}{14}[/tex]
Step-by-step explanation:
Let's take the given equation
[tex]\frac{7}{14}-\frac{3}{14}[/tex]
Let's also remember the bottom number (denominator) does not change or go away ever!
So we will subtract the top numbers (numerator) and we will get
[tex]\frac{4}{14}[/tex]
The distance around the outside of an apartment is 0.3 mile. Keira ran 0.1 of the distance during her lunch. How far did she run?
Answer:
0.1
Step-by-step explanation:
Which equation matches the graph
Answer:
it is A
Step-by-step explanation:
because there is negative 3 and a positive 9
helppppppppppppppppppppppppppppp
Can someone help me out with this problem
Answer:
Step-by-step explanation:
Is my answer choice wrong or right?
Answer:
It is correct
Step-by-step explanation:
Gr8 job
please help!!! and show work!!
Answer:
x = 17
Step-by-step explanation:
area = L x W
45 = (x-2)(x-14)
45 = x² - 14x - 2x + 28
simplify:
x² -16x - 17 = 0
(x + 1)(x -17 ) = 0
x = -1 not applicable
x = 17
Proof:
(17-2)(17-14) = 45
15 x 3 = 45
45 = 45
Suppose we want to formulate a 95% confidence interval for the population proportion and we would like our margin of error to be not greater than 0.04. We have no history with this characteristic, so we have no idea as to what the proportion might be. Conservatively, what is the minimum sample size we should anticipate using? (NOTE: Round up to the nearest whole number)
Answer:
The minimum sample size we should anticipate using is 601.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
We have no history with this characteristic, so we have no idea as to what the proportion might be.
This means that we use [tex]\pi = 0.5[/tex], which is when the largest sample size will be needed.
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
What is the minimum sample size we should anticipate using?
This is n for which M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*0.5}{0.04})^2[/tex]
[tex]n = 600.25[/tex]
Rounding up, 601
The minimum sample size we should anticipate using is 601.
A rectangular sheet of metal measures 8 inches by 10 inches. The metal is worth $3.00 per
square inch. How much is the sheet of metal worth?
Answer:
240$$
Step-by-step explanation:
find the area
A=LW
A=8x10
A=80
80x3=240
What is the mean for this list of numbers? 19, 22, 24, 45
Answer:
27.5
Step-by-step explanation:
To find the mean you basically just add all of the numbers then divide by how many there are.
So, for this problem, 19+22+24+45=110
110/4=27.5
Hope this helped!!
which of the following is not a function? ANSWER FAST PLEASE!!!
Answer:
D. cannot be an f(x)=y function.
Step-by-step explanation:
An f(x) = y function has to have a specific property - there can be only one value for the same x - and the value has to be the same every time.
D. gives us all xs equal to 9, but with different ys - hence it cannot be an f(x) = y function (it could be an f(y) = x function though, but I assume that's not "allowed" under the problem statement).
B has two equal xs, but both times y=0, so it doesn't make it an invalid function.
here's my face I just dyed my hair-
Answer:
that looks nice
Step-by-step explanation:
the hair looks cool
Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
Answer:
Vertex = (-1, 2)
Maximum
Step-by-step explanation:
The middle point of the graph is at x coordinate -1 and the point is at the top while the graph slopes down so it is a maximum point and not a minimum point.
PLEASEEEEE HELPP
Patty purchased rose bushes and geraniums for her yard. Patty spent $206 on 14
rose bushes and 12 geraniums. The price of a geranium is $5 less than twice the
cost of a rose bush. What is the cost of one rose bush?
9514 1404 393
Answer:
$7
Step-by-step explanation:
Let r and g represent the costs of a rose bush and a geranium, respectively. The given relations are ...
14r +12g = 206
g = 2r -5
Using the second equation to substitute for g in the first equation, we have ...
14r +12(2r -5) = 206
38r -60 = 206
38r = 266
r = 266/38 = 7
The cost of one rose bush is $7.
7(5+2c)+3c I need help
Answer:
35 + 17c I hope this helps!! Plz give brainliest!!!
Step-by-step explanation:
7(5+2c)+3c
35+14c+3c
35+17c
Helppppppppppppppppp
The three lines shown in the diagram below intersect at the same point. The measures of some of the
angles in degrees are given as...
Answer:
x =16, y = 151.2
Step-by-step explanation:
Since angle 3/5y and angle 12 and angle 42 lies on the same straight line,
[tex] \frac{3}{5} y + 12 + 42 = 180 \\ \frac{3}{5} y = 180 - 12 - 42 \\ \frac{3}{5} y = 180 - 54 \\ \frac{3}{5} y = 126 \\ y = 126 \div \frac{3}{5} \\ = 126 \times \frac{5}{3} \\ = 151.2[/tex]
Since angle 3(x-2) , 3/5y and 12 lies on the same straight line and we know what y is,
[tex]3(x - 2) + \frac{3}{5} y + 12 = 180 \\ 3(x - 2) + \frac{3}{5} (151.2) + 12 = 180 \\ 3(x - 2) + 126 + 12 = 180 \\ 3(x - 2) = 180 - 12 6 - 12 \\ 3(x - 2) = 42 \\ x - 2 = \frac{42}{3} \\ x = 14 + 2 \\ =16[/tex]
What expression is equal to 5,007.992?
I need help! Please show all the steps and work! :)
1. a) What is the area of this square with sides of 5x4y²?
Help answer this!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D move 6 units to the left and land on -9
Step-by-step explanation:
The dolphin dove down meaning that it went 6 feet below sea level. that would mean -6. If you move 6 spaces to the left, you would land on -9. Hope this helps
Answer:
D. on the number line, move 6 units to the left. End at -9, the Dolphin was 9 feet below sea level
HELP PLS MIGHT GIVE BRAINLIST BUT ONLY IF 2 PEOPLE ANSWER!
Answer:
t
t
f
t
f
Step-by-step explanation:
i hope po makatulong
What is the slope of the line perpendicular to a line that contains the points (-5,4) and (-2,4)
Answer:
the slope of the line is: 0
Step-by-step explanation:
4-4=0
-2-5= 3
Good morning help me out thank u
Answer:
25
Step-by-step explanation:
Using the Pythagorean theorem, we need to calculate
15^2+20^2=x^2, which simplifies to:
225+400=x^2,
625=x^2
and since 25^2 equals 625, the answer is AC=25
PLEASE HELP DUE IN 3 minutes
Answer: 10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Raelyn spent $6.00 on butterfly stickers for her bathroom wall. Each sticker cost 1/10 of a dollar. how many stickers did Raeyln but?From the same store,Beth biught 1/4 the number of butterfly stickers Raeyln bought.How many butterfly stickers did Beth buy?
Answer:
Raeyln bought 60 stickers, Beth bought 15 stickers
Step-by-step explanation:
simple math l.mao
Question 7 of 10
When you multiply a function by -1, what is the effect on its graph?
A. The graph flips over the yaxis.
O B. The graph flips over the line y= X.
O C. The graph flips over the xaxis.
SUBMIT
Answer:
the answer is c because it is over xaxis