Answer:
y=kx
20=10k
k=20/10
k=2
what's 123 to the nearest hundred
Find the missing probability. P(B)=1/2,P(A∩B)=7/40,P(A|B)=? A. 2/5 B. 7/20 C. 1/2 D. 7/40
Answer:
Option (B) : 7 / 20
Step-by-step explanation:
[tex]P(A∩B)=P(B) \times P(A|B)[/tex]
[tex]P(A|B) = \frac{P(A∩B)}{P(B)} = \frac{7}{40} \times \frac{2}{1} = \frac{7}{20} [/tex]
how many elements are in the set (whole numbers between 3 and 15)?
Answer:
Hey there!
The numbers in this set are: 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15.
We see that there are 13 numbers in this set.
Let me know if this helps :)
Hello!
Answer:
13 sets
Step-by-step explanation:
So you just have to count the numbers! :)
{3,4,5,6,7,8,9,10,11,12,13,14,15}
If you count the numbers, you will see there are 13 numbers.
**THE WHOLE NUMBERS BETWEEN 3 & 15 IS: 3,4,5,6,7,8,9,10,11,12,13,14,15!**
Therefore, there is 13 sets because if you count the numbers “3,4,5,6,7,8,9,10,11,12,13,14,15” you can see that there will be 13 numbers.
So the answer has to be 13 sets!
Hope this helps!
~Have a wonderful day!~
By,Cherry
The pet store has 8 rabbits for sale. Each morning the owner feeds the rabbit a total of 2 cups of pellets. If each rabbit receives the same amount of pellets, how much does each rabbit receive? *
Answer:
8×2=16 pellets the rabbit's receives 16 pellets
Step-by-step explanation:
can someone help me.
Answer:
X=11
Step-by-step explanation:
To find x-intercept/zero substitute h(x)=0
0=x-11 move the variable to the left hand side and change it's sign
-x=-11 change the signs on both sides of the equation
x=11
what is the inequality of 5/8 __ 7/12
Answer:
5/8 is greater than 7/12
Step-by-step explanation:
5/8 is greater than 7/12
we need to make the denominators the same in order to solve the inequality
so, the easiest solution would be to multiply both denominators by each other, then doing that to the numerator ....
5 x 12 = 60 7 x 8 = 56
8 x 12 = 96 12 x 8 = 96
here we have our new fractions ---
[tex]\frac{60}{96}[/tex] which was originally [tex]\frac{5}{12}[/tex]
[tex]\frac{56}{96}[/tex] which was originally [tex]\frac{7}{12}[/tex]
now that we have the denominators the same... we can clearly see that
[tex]\frac{60}{96}[/tex] is greater than [tex]\frac{56}{96}[/tex]
therefore 5/8 is greater than 7/12
Give 9.7814 correct to the: a) nearest whole place & b) one decimal place
Answer:
a) 10
b) 9.8
Step-by-step explanation:
First, round it the nearest whole number:
9.7814 will round up to 10, since the decimal place .7 is larger than .5
Next, round to one decimal place:
9.7814 will round to 9.8, since the 0.08 will round the 0.7 up to 0.8
a) 10
b) 9.8
the sum of a rational number and a irrational number equals:
if alpha beta are the roots of the equation
[tex]ax {?}^{2} + bx + c = 0[/tex]
then the quadratic equation whose roots are alpha +beta and alpha beta is
Answer:
Step-by-step explanation:
Hello, I believe that we can consider a different from 0.
By definition of the roots we can write.
[tex]ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\<=> \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }[/tex]
Thank you
FACTORISE: X3 + 3X2 +3X + 1
Answer:
(x+1)(x+1)^2
Step-by-step explanation:
Answer:
[tex]\Huge \boxed{(x+1)^3}[/tex]
Step-by-step explanation:
x³ + 3x² + 3x + 1
Apply cube of sum rule :
⇒ a³ + 3a²b + 3ab² + b³ = (a + b)³
(x)³ + 3(x)²(1) + 3(x)(1)² + (1)³
⇒ a = x
⇒ b = 1
(x + 1)³
Tim earns $10 per hour. Tim works 176 hours per month.
Answer:
he works 17.6 hours
Step-by-step explanation:
Answer:
he gets 1760$ a month
Step-by-step explanation:
176 multiplied by 10
:)
7²-3+9x8÷2 evaluate Please, urgent
Answer:
7²-3+9x8÷2
Step-by-step explanation:
you need to answer urself
Answer:
82Step-by-step explanation:
7²-3+9x(8÷2)
=49 - 3 + (9 x 4)
=49 - 3 + 36
=82
[tex]hope \: this \: helps[/tex]
subtract 2/7 - 1/3 write your answer with simplest form
Answer:
-1/21
Step-by-step explanation:
2/7 - 1/3
The common denominator is 21
2/7 * 3/3 - 1/3 *7/7
6/21 - 7/21
-1/21
Find the difference 1-(5)
Answer:
-4
Step-by-step explanation:
Subtract 1 - 5 = -4...
Since 1 is less than 5, we know that the difference is negative, so we can rewrite this expression as -(5-1).
5 - 1 = 4, so - (5-1) = -4.
Answer:
1-(5) is 1-5 = -4
Step-by-step explanation:
one subtracted by 5 will offer an negative number, -4.
if a = (-1,-3) and b = (11,8), what is the length of ab?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{16.27 \: \: units}}}}}[/tex]Step-by-step explanation:
Given,
A ( - 1 , - 3 )⇒( x₁ , y₁ )
B ( 11 , 8 )⇒( x₂ , y₂ )
Using distance formula to find the length of AB
[tex] \sf{ \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }[/tex]
plug the values
⇒[tex] \sf{ \sqrt{ {(11 - ( - 1))}^{2} + {( 8 - ( - 3))}^{2} } }[/tex]
We know that [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ \sqrt{ {(11 + 1)}^{2} + {(8 + 3)}^{2} } }[/tex]
Add the numbers
⇒[tex] \sf{ \sqrt{ {12}^{2} + {11}^{2} } }[/tex]
Evaluate the power
⇒[tex] \sf{ \sqrt{144 + 121} }[/tex]
Add the numbers and calculate
⇒[tex] \sf{\sqrt{265} }[/tex]
⇒[tex] \sf{16.27}[/tex] units
Hope I helped!
Best regards!!
In the equation 5x 3 = 15, what is the product?
Answer:
15 is the product.
Step-by-step explanation:
when you multiply, the answer is called the product.
The product of two given numbers is 15.
What is multiplication?Multiplication is an operation that represents the basic idea of repeated addition of the same number. The numbers that are multiplied are called the factors and the result that is obtained after the multiplication of two or more numbers is known as the product of those numbers.
The given equation is 5×3=15.
The product of 5 and 3 is 15
Now, 5×3=15
15=15
LHS=RHS
Therefore, the product of two given numbers is 15.
Learn more about the multiplication here:
https://brainly.com/question/1562995.
#SPJ2
Grant is painting a rectangular board that has a width of 1/3 foot. He has enough paint to cover 3 square feet. If he is able to cover the while board by using all of his paint, what is the length of the board in feet.
Answer:
Length of the rectangular board=9 foot
Step-by-step explanation:
Width of the rectangular board=1/3 foot
Length of the rectangular board=x
Area of the rectangular board=3 square feet
Area of a rectangular board =Length × Width
3=x * 1/3
3=1/3x
Divide both sides by 1/3
3÷1/3=x
3*3/1 = x
9=x
x=9 feet
Therefore,
Length of the rectangular board= x = 9 foot
The simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39) is .
Answer:
(5.23x + 3.76) − (3.67x − 6.39) is ( . )
Step-by-step explanation:
Yes
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.
Calculate the amount and compound interest on Rs 5000 compounded annually or 2 years 6 months at the rate of 10% per annum.
Answer:
Amount
Rs 6345.30
Compound interest
Rs 1,345.30
Step-by-step explanation:
Here in this question, we are interested in calculating the amount and the compound interest on the value given.
To calculate the amount, we use the formula below;
A = P(1 + r/n)^nt
Where; A is the amount which we want to calculate
P is the principal which is Rs 5,000
r is the interest rate per annum = 10% = 10/100 = 0.1
n is the number of times per year in which it is compounded ( since it is annually, then it is 1)
t is the number of years which is 2.5 years( kindly know that 6 months is same 1/2 year , so 6 months is same as 0.5, and thus 2 years 6 months becomes 2.5 years)
now let’s substitute all these values;
A = 5000(1 + 0.1/1)^(1*2.5)
A = 5000(1 + 0.1)^2.5
A = 5000(1.1)^2.5
A = 6,345.2935314294
This is approximately Rs 6,345.30
The second part of the question asks to calculate compound interest
Mathematically ;compound interest = Amount - principal
= 6345.3 - 5000 = Rs 1,345.30
Let's compare the scientific notation representation of two of these numbers. 0.0000004 = 4.0 x 10 ⁻⁷ and 1,080,000,000 = 1.08 x 10⁹ Write a sentence comparing what is the same and what is different about these two numbers when they are written in Scientific Notation
Answer:
Step-by-step explanation:
Scientific notation is a quick way to represent a number using powers of base ten. This notation is used to be able to express very large or very small numbers very easily.
The numbers are written as a product:
a * 10ⁿ
where:
a is a real number greater than or equal to 1 and less than 10, to which a decimal point is added after the first digit if it is a non-integer number. n = a whole number, which is called an exponent or an order of magnitude. Represents the number of times the comma is shifted. It is always an integer, positive if it shifts to the left, negative if it shifts to the right.Comparing what is equal to these two numbers when they are written in scientific notation you can see that the value of a is such that 1 ≤ a <10
Comparing what is different from these two numbers when they are written in scientific notation, you can see that the value of the exponent n in both numbers is different, one being positive, indicating that it is a very large number, and the other negative, indicating that it is It is a very small number that is between 0 and 1.
what fraction of 2minutes is 6 seconds
1 minute = 60 seconds
2 minutes = 60 x 2 = 120 seconds
Fraction = 6/120 reduces to 1/20
The answer is 1/20
Answer:
1/20
Step-by-step explanation:
just simplify 6/120
In a farm there are ducks and rabbits. In total the sum is 24 animals. If we add all the legs we get 88. How
many rabbits are there in the farm?
please show your working
THANKS for your helping ✨✨
Answer:
There are 20 rabbits.
Step-by-step explanation:
Let D be the number of ducks on the farm and R be the number of rabbits. We get the equation:
D + R = 24
Ducks have 2 legs and rabbits have 4. We know there are 88 legs in total, so we get the equation:
2D + 4R = 88
Rewriting the first equation, we get:
D = 24 - R
Substituting this into the second equation, we get:
2(24 - R) + 4R = 88
Solve for R:
48 - 2R + 4R = 88
2R = 40
R = 20
So there are 20 rabbits and 4 ducks on the farm, with a total of 88 legs.
Los 75 postulantes que fueron aceptados tuvieron notas desde 16 hasta a 20. Si el grupo se hubiera desempeñado de modo homogéneo y hubieran tenido todos la misma nota, ¿cuál sería esa nota? 2. Si los estudiantes se agrupan según notas, ¿cuántos grupos se forman? 3. ¿Qué notas tendrían los estudiantes del grupo más grande? 4. Si los estudiantes se ordenan en fila según notas, ¿qué nota tiene el del medio?
Answer:
Tenemos 75 postulantes, y sus notas están en el rango desde 16 hasta 20.
1) si el grupo es homogéneo y todos tienen la misma nota, entonces todos van a tener la nota media en el rango (16, 20)
Para encontrar esta nota calculamos la suma entre ambos extremos y lo dividimos por 2.
Media = (16 + 20)/2 = 36/2 = 18
La nota sería 18.
2) entre 16 y 20 tenemos:
16, 17, 18, 19 y 20
tenemos 5 notas distintas, entonces si agrupamos a los estudiantes por nota, tendríamos 5 grupos.
3) En una distribución normal, el grupo mas grande debería coincidir con la media del intervalo. Ya sabemos que la media es 18, entonces es esperable que la nota del grupo mas grande sea 18.
4) Si los estudiantes se ordenan en fila según notas tendríamos:
Fila con nota 16
fila con nota 17
fila con nota 18
fila con nota 19
fila con nota 20
Podemos ver que la fila del medio es el grupo con nota de 18
PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!!
1. Which compound inequalitiy represents the inequality |y – 3| − 4 ≤ −3?
A) −1 ≤ y – 3 AND y – 3 ≤ 1
B) −1 ≤ y – 3 OR y – 3 ≤ 1
C) y – 3 ≤ −1 AND y – 3 ≥ 1
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The fill pipe for a tank can fill the tank in 15 min and the drain pipe can empty the tank in 10 min. If both pipes are accidentally opened, how long will it take to empty the full tank?
Answer:
30 min
Step-by-step explanation:
The tank can be filled in 15 min, this means that in one min, 1/15 of the tank can be filled.
The tank can be emptied in 10 min, this means that in one min, 1/10 of the tank can be emptied.
the outflow rate - the inflow rate = rate of emptying the tank
1/10 - 1/15 = 1/x
where x is the time it will take to empty the tank
solving, we'll have
1/30 = 1/x
the reciprocal of the equation gives
x = 30 min
Anyone, please help me!!!
Answer:
Step-by-step explanation:
Hint: 1- 2sin²x = Cos 2x
LHS = 1 - 2Sin² (π/4 - Ф/2)
= Cos 2 *(π/4 - Ф/2)
= Cos 2*π/4 - 2*Ф/2
= Cos π/2 - Ф
= Sin Ф = RHS
Answer:
RHS=sinA
Step-by-step explanation:
LHS=1-2sin^2(45-A/2)
=cos2(45-A/2)
=cos(90-A)
=sinA proved.
Please help this Homework assignment is due tomorrow ;-;
Population density is the number of people per unit of area. The population density of a certain region is 45 people per square
kilometer. If the region covers 32 square kilometers, what is the population of the region?
The population of the region is
people
Answer:
1440 people
Step-by-step explanation:
If we have 45 people per square kilometer, and we have 32 square kilometers, we can imagine it as a little “table.”
There are 32 boxes, and inside each of those 32 boxes, there are 45 little dots.
This is multiplication, so we can just multiply 32 and 45.
[tex]32\cdot45=1440[/tex]
Hope this helped!
jared wanted to find the weight of his baby goat jared held his goat while he stood on a scale . together they weighed 58.9 kg without his goat jared weighed 56.2 kg what is the weight of the baby goat.
Answer:
Step-by-step explanation:
Weight of baby goat = Weight of Jared with goat - Weight of Jared
= 58.9 - 56.2
= 2.7 Kg
I really need help!
attached image
Step-by-step explanation:
attached image
Tatiana says the domain of this relationship is all x-
values between -3 and 3 and the range is all y-values
between
-2 and 2.
Is Tatiana correct?
Answer:
no
Step-by-step explanation:
The domain and the range of a graph are simply the possible x and y values of the graph.
Tatiana is incorrect, because she switched the x and y values
From the complete question (see attachment), we have the following observations.
The y values of the graph is between -2 and 2The x values of the graph is between -3 and 3This means that:
Tatiana's conclusion about the domain and the range of the graph is incorrect, because switched the values of the domain and the range
Read more about domain and range at:
https://brainly.com/question/1632425