Answer:
the dot product is 13
Step-by-step explanation:
The computation of the dot product is shown below:
Given that
x = (1, −2, 0, 4)
y = (1, 2, 3, 4)
Based on the above information
The dot product is
= (1) (1) + (-2) (2) + (0) (3) + (4) (4)
= 1 - 4 + 0 + 16
= 13
Hence, the dot product is 13
We simply multiplied each of them so that the correct value could come
Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 5 choices
Answer:
95,040 ways
Step-by-step explanation:
The first position has 12 choices
The second has 11 choices (since first is filled)
The third has 10 choices
The fourth has 9 choices
The fifth has 8 choices
So the number of ways they can make the ranking will be;
12 * 11 * 10 * 9 * 8 = 95,040 ways
The number of ways could the voters (student body) rank their first 5 choices is 792 ways.
Calculation of the number of ways:Since Last year at a certain high school, 12 students sought the nomination for president of the student body.
So, here
we use the combination here
[tex]= 12!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\times 7!\div 5!7!\\\\= 12\times 11\times 10\times 9\times 8\div 5\times 4\times 3\times 2[/tex]
= 792 ways
Therefore, The number of ways could the voters (student body) rank their first 5 choices is 792 ways.
Learn more about ways here: https://brainly.com/question/6669465
The speed of the wind is changing according to the function V (t) = -t/2 + 30, where t = time in minutes after 6:00 p.m. and V(t) = wind speed in miles per hour
(mph). Which statement best describes the meaning of the equation V(20) – V(10) = -5?
A) In a period of 5 minutes, the wind speed increased from 10 mph to 20 mph.
B) The wind speed decreased by 5 mph between 6:10 p.m. and 6:20 p.m.
C) The wind speed increased by 5 mph between 6:10 p.m. and 6.20 p.m.
D) In a period of 5 minutes, the wind speed decreased from 20 mph to 10 mph.
Answer:
C
Step-by-step explanation:
Answer:
The wind speed increased by 5 mph between 6:10 p.m. and 6.20 p.m.
Step-by-step explanation:
I hope this helped!
factor -1/2 out of -1/2 x + 6
Answer:
[tex]-1/2 * (x - 12)[/tex]
Step-by-step explanation:
Divide each term of the expression by -1/2. -1/2x divided by -1/2 = x. 6 / -1/2 = -12.
Según datos de una empresa aseguradora de vehículos, dos de cada cinco accidentes son provocados por conductores en estado de ebriedad, ¿cuál es la probabilidad de que tres de nueve accidentes seleccionados al azar hayan sido ocasionados por conductores ebrios?
Answer:
La probabilidad es [tex]0.2508[/tex]
Step-by-step explanation:
Sabemos que según datos de una empresa aseguradora de vehículos, dos de cada cinco accidentes son provocados por conductores en estado de ebriedad. Entonces, si definimos el evento
[tex]A[/tex] : ''Accidente provocado por un conductor en estado de ebriedad''
La probabilidad de este evento es
[tex]P(A)=\frac{2}{5}[/tex] (dato del problema)
Por lo tanto, en cada accidente que ocurre, la probabilidad de que ocurra el evento [tex]A[/tex] es [tex]\frac{2}{5}[/tex] .
Ahora bien, si suponemos cada uno de estos accidentes independientes y con probabilidad de ocurrencia ''p'' constante a lo largo del tiempo, estamos ante la presencia de un proceso Bernoulli.
Dado un proceso de Bernoulli, definimos la variable aleatoria discreta ''[tex]X[/tex]'' como el número de éxitos del proceso Bernoulli para un número fijo de ensayos.
En este caso vamos a definir
[tex]X[/tex] : ''Número de accidentes provocados por conductores en estado de ebriedad de un total de n accidentes''
Se dice que [tex]X[/tex] tiene distribución binomial de parámetros ''n'' y ''p''.
Lo denotamos [tex]X[/tex] ~ Bi (n,p)
En nuestro ejercicio el valor de ''n'' es 9 (son los ensayos que fijamos) y el valor de ''p'' es [tex]\frac{2}{5}[/tex] (definimos como ''éxito'' que el accidente sea provocado por un conductor en estado de ebriedad).
Ahora bien para calcular probabilidad vamos a utilizar la siguiente fórmula :
[tex]P(X=x)=(nCx)p^{x}(1-p)^{(n-x)}[/tex] (I)
'' [tex]P(X=x)[/tex] '' es la probabilidad de que la variable aleatoria [tex]X[/tex] asuma el valor x. En particular, buscamos [tex]P(X=3)[/tex] que es la probabilidad de que de nueve accidentes (fijados), tres sean provocados por conductores en estado de ebriedad.
'' [tex](nCx)[/tex] '' es el número combinatorio definido como
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
Reemplazando los datos en la ecuación (I) :
[tex]P(X=3)=(9C3)(\frac{2}{5})^{3}(\frac{3}{5})^{6}=0.2508[/tex]
La probabilidad pedida es [tex]0.2508[/tex]
1. (Consider the differential equationdy/dt=y(1-y^2)(i) Determine the equilibrium solutions.(ii) Obtain the general solution.(iii) Solve the initial-value problem y(0) = 1/2(iv) Draw the phase line.(v) Sketch solution curves in the ty-plane corresponding to the initial conditions y(0) =-3/2; y(0) =1/2;y(0)=3/22. Consider the differential equationDy/dt= -2ty^2.(i) Obtain the general solution.(ii) Find all values of y0 such that the solution to the initial-value problem y(-1) = y0 isdefined for all real t (i.e., find all y0 such that the solution does not blow up in finite time.)
Answer:
attached below is the detailed solution
i) equilibrium solution : y = 0 , y^2 = 1 , y = -1 , +1
ii) attached below
iii) attached below
iv) attached below
v) attached below
Step-by-step explanation:
v) For the sketch of curve attached
red curve ( y(0) ) = -3/2
blue curve ( y(0) ) = 1/2
green solution curve ( y(0) ) = 3/2
Lucy has 3795 beads. She has 1145 fewer beads than hazel. About how many beads do Lucy and Hazel have altogether? Estimate by rounding each number to the nearest thousand before adding.
I need help please help me out
Answer:
60 feet a day
Step-by-step explanation:
Answer:
2940
Step-by-step explanation:
convert the week to days. 1 week is 7 days so 420 * 7 = 2940
7.668 divided by 0.009
Answer:
852
Step-by-step explanation:
Answer:
852
Step-by-step explanation:
7.668 divided by 0.009 start off by making your division equation the way you want to write it and then go one by one on the numbers and start dividing it then you will get the answer: 852
how much is one lollipop? 25 lollipops for $46.00?
Answer: $1.84
Step-by-step explanation: 46 / 25 = 1.84
Answer:
$1.84
Step-by-step explanation:
25 divide by $46.00 = $1.84
Write a word problem for x+2=15
_
5
Answer:
x = 13 is the answer for your question
13 + 2 = 15
HURYY I NEED THIS BEFORE 3 !!What is the equation of the line that passes through the point (16.-7) and has slope of m= -3/4 written in point-slope form?
Answer:
The answer is
[tex] \huge y + 7 = - \frac{3}{4} (x - 16) \\ [/tex]
Step-by-step explanation:
To find an equation of a line in point slope form when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1)[/tex]
where
m is the slope
( x1 , y1) is the point
From the question we have the final answer as
[tex]y + 7 = - \frac{3}{4} (x - 16)[/tex]
Hope this helps you
Hello please help if you can thank you :) I will mark barinlasit
Answer:
a) -29
b) 16
c) -6
d) 23
e) 12/a
f) x = -5
g) x = -2
h) x = 4
Step-by-step explanation:
I skipped the optional ones
which of the folowing numbers would be found to the right of the number -35 on a number line ?
If R is the midpoint of QS, find QS. QR=2x+16 RS=5x-17
Answer:
QS = 76
Step-by-step explanation:
Given R is the midpoint of QS, it means the distance from R to each endpoint is equal, that is:
QR = RS
We are given
QR = 2x + 16
RS = 5x - 17
Equating:
2x + 16 = 5x - 17
Subtracting 5x:
2x - 5x + 16 = -17
Simplifying:
-3x +16 = -17
Subtracting 16:
-3x = - 16 -17 = -33
Dividing by -3:
x = 11
Let's find
QR = 2x + 16 = 22 + 16 = 38
The length of QS is double this value: QS = 2*38 = 76
QS = 76
Find the values of x and y.
Answer: y = 129, x = 51
Step-by-step explanation:
angles 129 and y are corresponding, so they are equal to each other
y and x are supplementary
so, y + x = 180
x = 180 - y = 180 - 129 = 51
Answer:
I belive y has to be at least 133 because it's just a little bit longer than the 229 one.
And x is most likely to be 125 because if you line up 129 with x, x is should be a little smaller so x should be 125
What is the value of x?
98°
Answer:
x = 139
Step-by-step explanation:
Isosceles triangle.
Let the equal angles = y
y + y + 98 = 180 {Sum of all the angles of triangles}
2y + 98 = 180
2y = 180 - 98
2y = 82
y = 82/2
y = 41
x = 41 + 98 { exterior angles equals the sum of interior opposite angles}
x = 139
It takes 4 people 36 minutes to solve 18 problems. How many minutes will it take 6 people to solve 42 problems.
Answer:
54 I think, but I'm not sure sorry
Step-by-step explanation:
4 ÷ 2 = 2
36 min ÷ 2 = 18 min
2 x 3 = 6 (6 ppl)
18 min x 3 = 54 min
y=-x^3 + 2x2 - 4 at (0, -4)
Find the normal line
Answer:
True
Step-by-step explanation:
I will assume you want to see if (0, -4) is a point on the line.
y = -x³ + 2x² - 4
~Substitute
-4 = -(0)³ + 2(0)² - 4
~Simplify
-4 = -4
Best of Luck!
Please please help struggling so much in mathematics☹️
Answer:
C. y = 4
Step-by-step explanation:
Answer:
Option one is the correct answer y=-2
Identify the domain and range of the function graphed below.
Light travels 3 x 10 kilometers in one second. How far does it travel in 7.6 seconds?
Write your answer in scientific notation.
Answer:
.0076
Step-by-step explanation:
Evaluate: 7x + 4y when x=5 and y= -3
Answer:
23
Step-by-step explanation:
Step 1:
7x + 4y Equation
Step 2:
7 ( 5 ) + 4 ( - 3 ) Input x and y
Step 3:
35 - 12 Multiply
Answer:
23
Hope This Helps :)
8.9% of 75 what is the answer? -__- idk
Answer:
6.675
Step-by-step explanation:
75x.089
Answer:
one:6.675 is the answer
Step-by-step explanation:
:two someone want to know r u hurting urself we all worryed about you plz if u r dont u have much to live for.
Help please please please
Answer:
They often use up other resources native organsinsms need.
Step-by-step explanation:
By doing so they can end up killing native organsinsms.
LLICIOS:
1. José tiene en su bolsillo un grupo de monedas de 5 y 10 centavos, y hay once
monedas más de 5¢ que las de 10€. Si el total es un dólar.
halla la cantidad de monedas de cada tipo.
Answer:
Hay 14 monedas de 5 centavos y 3 monedas de 10 centavos.
Step-by-step explanation:
Llamemos "c" a las monedas de 5 centavos y "d" a las monedas de 10 centavos.
Hay once monedas más de 5¢ que las de 10¢. La expresión matemática para ello es:
c = d + 11 [1]
El total es 1 dolar. La expresión matemática para ello es:
0,05c + 0,10d = 1 [2]
Si reemplazamos [1] en [2],
0,05(d + 11) + 0,10d = 1
0,05d + 0,55 + 0,10d = 1
0,15d = 0,45
d = 3
Si reemplazamos d = 3 en 1,
c = d + 11 = 3 + 11 = 14
Classify each of the following statements as true or false where a and b are whole numbers.
a. If GCD(a,b)= 1, then a and b cannot both be even.
b. If GCD(a,b) = 2, then both a and b are even.
c. If a and b are even, then GCD(a,b) = 2.
please complete 7 and 8
giving brainliest
Which graph best represents -5 y = -6 x + 15?
Answer:
here hope this helps
Step-by-step explanation:
Solve for k:
K/2 plus 1/2=3
Answer:v
vvre
Step-by-step explanation:
Answer:
K should be 5
Step-by-step explanation:
1/2 is .5 which leaves k/2 you need 2.5 to make three and 2.5*2 is 5 5/2 is 2.5 plus 5 is 3 therfore k is 5
vzorec pre obsah štvorca
Ahoj! Vzorec je Vynásobte dĺžku šírkou a budete mať štvorcové stopy. Tu je základný vzorec, ktorým sa môžete riadiť: Dĺžka (v stopách) x šírka (v stopách) = plocha v štvorcových stopách. Dúfam, že vám to pomôže! Veľa šťastia a prajem skvelý deň / noc. ❤️✨
