Answer:
1 / 30
Step-by-step explanation:
For a six - sided die :
Sample space = (1, 2, 3, 4, 5, 6)
P(rolling a 1) = required outcome / sample space = 1/6
Sample space for spinner = (A, B, C, D, E)
P(spinning A ) = required outcome / sample space = 1/5
P(spinning A) = 1 / 5
P(rolling a 1 and spinning A) = P(rolling a 1) * P(spinning A) = 1/6 * 1/5 = 1 / 30
21 students in a dass wear spectacles. This is 60% of the total number of
students in the class. What is the total number of students in the class?
Answer:
There are 35 students in the class
Step-by-step explanation:
We would divide 21 by 60%
21/0.6 = 35 students.
Answer:
35 students are in the class
Step-by-step explanation:
21/x 60/100
cross multiply so you will get
2100 = 60x
divide each side by 60x
2100/60 = 35
21 students out of 35
kyra is 12 years old,and is twice as old as Aiden,who is 2 years younger than maya.how old is maya?
Answer:
4
Step-by-step explanation:
12 ÷ 2 which is 6 then 6-2 which is 4
When x = 2 and y = 10 Write a formula for in terms of .
Answer:
y=mx-c
Step-by-step explanation:
follow to explain
Math Question plz help
Answer: y = 4/5 - 6.2
y = mx + b
first get the 2 points and plug it in to the equation
y - y1 = m (x -x1)
y - 3 = 4/5 (x - 4)
y - 3 = 4/5x - 3.2
add 3 on both sides
y = 4/5 - 6.2
Step-by-step explanation:
There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?
Answer:
C. 60 blue marbles
Step-by-step explanation:
10 marbles are taken out of the bag.
6 marbles taken out are red.
So the other 4 marbles taken out are blue.
200 ÷ 4 = 50
and 50 is close to 60.
Let me know if this helps!
Express 759.285 to the nearest hundredth
759.3 when rounded
8 is the hundredth, since it's more than 5, you'll have to make 2 a 3
HELPPP ARE IMA GET AH BEATING AHA TY
Use the simple interest formula to find the end balance. Round your answer to the nearest cent (hundredths place).
$55,000 at 2.5% for 5 years
a
$6,875
b
$68,750
c
$61,875
d
$123,750
Answer:
a) $6,875
Step-by-step explanation:
S.I. = P×R×T/100
= 55,000 × 2.5 × 5/100
= 687500/100
= $6,875
A triangle has sides with lengths of 14 centimeters, 36 centimeters, and 39 centimeters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
this is because it does not follow the pythogras theorem which states that a^2+b^2=c^2
Which two integers is √31 between?
Answer:
5 & 6
Step-by-step explanation:
The nearest two perfect squares are √25 and √36 which are 5 and 6
Use the formula L= 10 log 10 R, where Is the loudness of a sound and R is the sound's relative intensity. to find out how much louder 20 people talking would be than one person talking. Suppose the sound of one person talking has a relative intensity of 80 decibels.
Answer:
[tex]X=24.1decibels[/tex]
Step-by-step explanation:
From the question we are told that:
Loudness function [tex]L= 10 log_{10} R[/tex]
Sound of a person [tex]S_p=80\ decibels\ or 10^8[/tex]
Number of persons talking [tex]n=20 people[/tex]
Generally the Relative intensity for 20 people is mathematically given by
Relative intensity for[tex]R_{20}=[/tex][tex]20*10^8[/tex]
Relative intensity for[tex]R_{20}=[/tex][tex]20^8[/tex]
Generally the loudness for 20 people is mathematically given by
[tex]L_{20}= 10 log_{10} R[/tex]
[tex]L_{20}= 10 log_{10} 20^8[/tex]
[tex]L_{20}= 10 (8 log_{10} 20)[/tex]
[tex]L_{20}= 104.1 decibels[/tex]
Therefore increase in loudness X is given as
[tex]X=104.1-80=-52.90[/tex]
[tex]X=24.1decibels[/tex]
1/2x+3y=4 for x when y=6
Answer:
are you looking for the substiution
Step-by-step explanation:
how to calculate the number if 18 percent of diseases 52.2?
Answer:
18% of 52.2
18/100 of 52.2
=9.396b
Step 1 of 2 : Suppose a sample of 879 new car buyers is drawn. Of those sampled, 210 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
Step-by-step explanation:
Suppose a sample of 879 new car buyers is drawn. Of those sampled, 210 preferred foreign over domestic cars. Using the data, estimate the proportion of new car buyers who prefer foreign cars. Enter your answer as a fraction or a decimal number rounded to three decimal places.
3. What is the slope of the line that passes through points (-6, 1) and (4,-4)?
Answer:
[tex]\boxed {\boxed {\sf m= \frac {-1}{2}}}[/tex]
Step-by-step explanation:
Slope is equal to the change in y over the change in x.
[tex]m= \frac {y_2-y_1}{x_2-x_1}[/tex]
where (x₁, y₁) and (x₂, y₂) are the points the line passes through. We are given the points (-6, 1) and (4, -4). Therefore, if we match the values in the points to the corresponding variables:
x₁= -6 y₁= 1 x₂= 4y₂= -4Substitute the values into the formula.
[tex]m= \frac {-4-1}{4--6}[/tex]
Solve the numerator.
-4-1= -5[tex]m= \frac {-5}{4--6}[/tex]
Solve the denominator.
4--6= 4+6=1-[tex]m= \frac{-5}{10}[/tex]
Simplify the fraction. Both the numerator and denominator are divisible by 5.
[tex]m= \frac {-5/5}{10/5}[/tex]
[tex]m= \frac{-1}{2}[/tex]
The slope of the line is -1/2
growth or decay pls answer
그 기 . 1 1 키 Which normal distribution has the greatest standard deviation? O O 80 88 104 112
Answer:
그 기 = That Flag
키 = Key
I think it is 112.
Step-by-step explanation:
answer for brainlest and 10 points
Oscar and Eli set up a lemonade
stand. If they have prepared 23
gallons of lemonade, how many
1-cup servings can they sell?
Answer:
368 cups
Step-by-step explanation:
16 cups in a gallon
Multiply 16 by the 23 gallons
Receive the answer of 368
Hope this helps
Answer: 368
Step-by-step explanation:
1 US liquid gallon = 16 US cups
Multiply 16 times 23 to get 368
Which statement is NOT always true?
Answer:
are you in 8B
Step-by-step explanation:
f (x) = 322 - 7x - 32 What is the value of f (-4)? A. -52 B. -12 O c. 44 D. 140
O valor de f(-4) é a opção D
Find the circumference of each circle. Use 3.14 or 22/7 for Pi. Round to the nearest tenth if necessary.
Answer:
50.27
Step-by-step explanation:
Give me Brainllest
The product of a number and 32.
Answer:
32n
Step-by-step explanation:
Product means to multiple
So “product of a number” is something times a variable, in this case I used “n” to represent “number” but you don’t have to use “n” if you don’t want to, you could other letters to represent the “number”. The “number” is unknown so that way it is a variable.
The “and 32” is what the “number” is multiple to, so the answer would be: 32n
Find the measure of the angle between the vectors 〈6, –3, 1〉 and 〈8, 9, –11〉
A:90°
B:30°
C:84.8°
D:102.6°
Answer:
Option C.
Step-by-step explanation:
We know that for two vectors:
A = 〈a₁, a₂, a₃ 〉and B =〈b₁, b₂, b₃〉.
The dot product between A and B is:
A.B = IAI*IBI*cos(θ)
Where θ is the angle between the vectors.
And the dot product can be also written as:
A.B = a₁*b₁ + a₂*b₂ + a₃*b₃
With that, we can find the angle between our vectors.
In this case, the vectors are:
A = 〈6, –3, 1〉 and B = 〈8, 9, –11〉
The modules are:
IAI = √( 6^2 + (-3)^2 + 1^2) = 6.78
IBI = √( 8^2 + 9^2 + (-11)^2) = 16.31
And the dot product between A and B is:
A.B = 6*8 + (-3)*9 + 1*(-11) = 10
Then we have that:
10 = IAI*IBI*cos(θ) = ( 6.78)*(16.31)*cos(θ)
10/(6.78*16.31) = cos(θ)
Now remember the inverse cosine function, Acos(x), this function has the property:
Acos(cos(x)) = x
If we apply this to both sides, we get:
Acos(10/(6.78*16.31)) = Acos(cos(θ)) = θ = 84.8°
The correct option is C.
help me out please im so confused
ayo can yall help me plzzz
Answer:
I think it's either Wednesday or Sunday.
Step-by-step explanation:
Answer: the answer is d Wednesday.
Step-by-step explanation:
hope this helped ya bro! have a good day! :)
A line passes through the points (–6, –7) and (–3, 1). What is its equation in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = 8/3(x) + 9
Step-by-step explanation:
The general equation of a straight line is slope intercept form is;
y = mx + b
where m is the slope and b is the y-intercept
To get the slope, we use the slope equation
we have this as:
m = (y2-y1)/(x2-x1)
(x1,y1) = (-6,-7)
(x2,y2) = (-3,1)
m = (1+7)/(-3 + 6) = 8/3
so we have the equation as;
y = 8/3(x) + b
to get the value of b, we make use of any of the two points
We substitute the coordinates of the two points into the equation
Let us use the point (-3,1)
Thus;
1 = 8/3(-3) + b
1 = -8 + b
b = 1 + 8
b = 9
So the full equation is;
y = 8/3(x) + 9
choose the number that is equal to: 2/3 divided by (-3) A.)-2 B.) -2/9 C.)2/9 D.) 2
Cual es el mejor estimado de la solucion de lsistema de ecuciones lineales graficadas. y=4x-4 2x+y=5
Answer:
x = 1.5, y = 2
Step-by-step explanation:
Cuando tenemos un sistema de ecuaciones lineales, para resolverlo gráficamente simplemente debemos graficar ambas líneas y ver en que punto las líneas se interceptan.
En este caso, tenemos las líneas:
y = 4*x - 4
2*x + y = 5
El primer paso puede ser escribir ambas líneas en forma estándar, así será más fácil graficarlas.
Para ello, aislamos y en ambas ecuaciones:
y = 4*x - 4
y = 5 - 2*x
Ahora que tenemos ambas líneas debemos graficarlas en un mismo eje de coordenadas, y buscar el punto en donde ambas líneas se interceptan.
Un gráfico de este sistema se puede ver abajo:
Viendo el gráfico, podemos estimar que la solución del sistema es el punto:
(1.5, 2)
Es decir, la solución es:
x = 1.5
y = 2
Solamente para ser completos, también podemos resolver el sistema analíticamente y ver si la solución que encontramos gráficamente es aceptable.
Para ello escribimos el sistema:
y = 4*x - 4
y = 5 - 2*x
Como y esta aislada en ambas ecuaciones, tendremos:
4*x - 4 = y = 5 - 2*x
4*x - 4 = 5 - 2*x
Ahora podemos resolver esto para x.
4*x + 2*x = 5 + 4
6*x = 9
x = 9/6 = 3/2 = 1.5
Remplazando este valor de x en cualquiera de las dos líneas obtendremos el valor de y de la solución:
y = 4*x - 4 = 4*1.5 - 4 = 6 - 4 = 2
Así probamos analíticamente que la solución es x = 1.5, y = 2.
Simplificación de la raíz cuadrada de 50
Answer:[tex]5\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sqrt{50}[/tex] ==>
2x25 ==> El 25 lo puedes reducir más ==> 5x5
Como el 5 tiene dos numero que se multiplican por si mismo se convierte en uno solo y va fuera de la raiz cuadrada.
Como el 2 que multiplicaste por 25 ya no se puede reducir y no tiene par, va adentro de la raiz cuadrada.
Resultado:
[tex]5\sqrt{2}[/tex]
A rocket takes off from a height of 30 feet with an initial velocity of 150 ft /sec. The equation that models the path that the rocket takes is: G(x) = -16x^2+150x+30
Answer:
The rocket will hit the floor at 9.57 seconds
Step-by-step explanation:
Given
[tex]G(x) = -16x^2 + 150x + 30[/tex]
Take off height = 30ft
Initial velocity= 150ft/s
Required [Missing from the question]
Time to hit the ground
The rocket will hit the ground at:
[tex]G(x) = 0[/tex]
So, we have:
[tex]0 = -16x^2 + 150x + 30[/tex]
Rewrite as:
[tex]16x^2 - 150x - 30=0[/tex]
Solve using quadratic formula, we have:
[tex]x = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a= 16\\ b = -150\\ c = -30[/tex]
So, we have:
[tex]x = \frac{-(-150) \± \sqrt{(-150)^2 - 4*16*(-30)}}{2*16}[/tex]
[tex]x = \frac{150 \± \sqrt{22500 +1920}}{32}[/tex]
[tex]x = \frac{150 \± \sqrt{24420}}{32}[/tex]
[tex]x = \frac{150 \± 156.27}{32}[/tex]
Split:
[tex]x = \frac{150 + 156.27}{32}\ or\ \frac{150 - 156.27}{32}[/tex]
[tex]x = \frac{306.27}{32}\ or\ \frac{-6.27}{32}[/tex]
Time cannot be negative;
So:
[tex]x = \frac{306.27}{32}[/tex]
[tex]x = 9.57[/tex]
Hence, the rocket will hit the floor at 9.57 seconds