Jeff has 8 red marbles 6 blue marbles, and 4 green marbles that are the same size and shape he puts the marbles into a bag, mixes the marbles and randomly picks one Marble. What is the probability that the marble will be blue
Hey buddy I am here to help!
Red = 8
blue = 6
greem = 4
total = 18
probability of blue marble = 6/18 = 1/3
Answer:
I think it is 1/3
Step-by-step explanation:
you have 18 ways to pick one marble in the bag and have 6 ways to pick a blue marble so the probability that the marble will be blue is 6/18=1/3
PLS HELP WITH 4 and 5 ASAPPP FOR BRAINLIEST
Answer:
4. SAME SLOPE, SAME Y INTERCEPT.
When this happens... The system of Equations has an Infinite Number of solutions.
A IS YOUR ANSWER
5.
A system of Equations has no solution when the graph of the system are PARALLEL LINES.
OPTION D IS YOUR ANSWER.
z= 8i – 172
Re(z) =
Im(z)
What should be added to 7/12 to get -4/15 ?
Answer:
-17/20
Step-by-step explanation:
7/12 + x = -4/15
Subtract 7/12 from both sides
x = -4/15 - 7/12
Use 60 as common denominator
x = -16/60 - 35/60
x = -51/60
Reduce
x = -17/20
Please help assignment due very soon(no links or I will report you)
Answer:
-2.35
Step-by-step explanation:
I'm not 100% Sure if that's correct but I'm pretty sure it is!
Answer:
Improper Fraction = 47/20 Decimal = 2.35 Mixed Number = 2 7/20
Step-by-step explanation:
Convert mixed number to improper fraction
:. 2 = 20 + 20 = 40
= 40 + 7
= 47/20
What is the next number in the sequence?
3,12, 21, 30,?
A. 39
B. 33
C. 51
D. 42
11 15 24 33 10 35 23 25 40. What is P45 of the given data?
Answer:180 u
Step-by-step explanation:
Please help fill in the blanks! Worth 45 points
Answer:
Answer is as follows
Step-by-step explanation:
The probability distribution is a statistical function that describes all the possible values and likelihood’s that a random variable can take within a given range.
Answer:
Region I is n(A)
There's 21 elements there.
Region II is the intersection or the region shared by A and B. Denoted by (AnB)
From the data given again.
There are 13 elements in Region II
Region III
Thats part B of the venn diagram
Denoted by n(B)
There's 24 elements in this region.
Region IV
This is the intersection of A and C or the part of the diagram shared by A and C
Denoted by (AnC)
There's 11 elements in this section.
Region VI
This is region shared by B and C
or (BnC)
There's 12 elements in this section.
Region VII
Thats the C part of the Venn diagram
Denoted as n(C)
There's 21 elements here
Region VIII
This part is Empty.
There's no Elements outside the Diagram
There's 0 elements here.
Hope this helps.
Have a great day!
please help, I'll give brainlist who answers my questions ax+by=2x-3y
Answer:
a=4, b=-3
Step-by-step explanation:
If it is vertical, then the y coefficient must be equal to zero, which means b = -3. When y is 0, a*3=2*3+6, which means a=4.
Answer:
a=4
b=-3
Step-by-step explanation:
ax+by=2x-3y+6 is vertical and passes through (3,0) which means the equation should be equivalent to x=3.
If we want the y's to cancel we need -3y on lefy since we have it on right so b=-3.
So now the equation is ax=2x+6
If ax=2x+6 and x=3, by substitution property we have a(3)=2(3)+6.
Let's solve for a.
3a=6+6.
3a=12
a=12/3
a=4.
a=4
b=-3
Find the two positive intergers that satisfy the given requirements. The difference of numbers is 90 and the larger number is three times the smaller number
Answer:
45
135
Step-by-step explanation:
x-y = 90
x = 3y
3y - y = 90
2y = 90
y = 45
x = 3×45 = 135
Solve the formula Ax + By = C for A.
Answer:
A=C/x-By/x
Step-by-step explanation:
The number of potholes on 30 randomly selected 1 mile stretch of highways in the City of Chicago is given below 2, 7, 4, 7, 2, 7, 2, 2, 2, 3, 4, 3, 1, 2, 3, 2, 1, 4, 2, 2, 5, 2, 3, 4, 4, 1, 7, 6, 3, 5 (a) Complete the frequency distribution for the data. Make sure to enter your answers for the relative frequency as decimals, rounded to the nearest tenth.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
2, 7, 4, 7, 2, 7, 2, 2, 2, 3, 4, 3, 1, 2, 3, 2, 1, 4, 2, 2, 5, 2, 3, 4, 4, 1, 7, 6, 3, 5
Value __ Frequency ___ relative frequency
1 ___ 3 ______ 3/30 ____ 0.1
2 __ 10 ______ 10/30 ___ 0.3
3 __ 5 _______ 5/30____0.2
4 __ 5 ________ 5 / 30 __0.2
5 __ 2 _________ 2/30 __ 0.1
6 __ 1 _________ 1/30 ___0.0
7 __ 4 ________ 4/30 ___0.1
Kindly note that relative frequencies were rounded to the nearest tenth.
Help PLSSS I will give brainlyest I suck at math this should be easy
Answer:
36
Step-by-step explanation:
Least Common Multiple of 9 and 12
Factor each into prime factor
9 = 3 * 3
12 = 2 * 2 * 3
LCM is the greatest number of different prime factors from each
LCM = 3 * 3 * 2 * 2
LCM = 36
Answer:
36 hotdogs
Step-by-step explanation:
36 ÷ 9 = 4
36 ÷ 12 = 3
Hope this helps!
-kiniwih426
Find the measure of each acute angle
Answer:
x = 18
Step-by-step explanation:
The sum of interior angles in a triangle = 180 degrees
The given is a right triangle which means one of the angle is = 90
so the sum of 3x + 2x = 90
5x = 90 divide both sides by 5
x = 18 to find the measure of angles replace x with 18
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +
Answer:
Step-by-step explanation:
A line that is parallel to the line that goes through (-3, -3) and (-1, 5) will have the same slope as the one we will find when we plug those numbers into the slope formula. Let's do that first:
[tex]m=\frac{5-(-3)}{-1-(-3)}=\frac{5+3}{-1+3}=\frac{8}{2}=4[/tex] so the line we need to write has a slope of 4. Moving on...
If the x-intercept we need is 4, that means that we need to understand what an x-intercept is. The x-intercept exists where y = 0; so what we need to do is to write the equation of the line that has a slope of 4 and passes through the point (4, 0). Doing that:
y - 0 = 4(x - 4) and
y = 4x - 16
Answer:
Answer above is correct!
First Box: 4
Second Box: -16
Step-by-step explanation:
Hope this helps :D
pls I need this last question someone help
Answer:
n= 2x-6y
Step-by-step explanation:
So we might look at this and have an immediate panic attack, but if there is one thing we might look to to help us, it would be logarithms. Logarithms have many wonderful properties that will help us solve this equation. Let's get started:
1. This is the starting equation. [tex](2^{\frac{1}{2} } )^{n} =\frac{2^x}{8^y}[/tex]
2. Let's use the power to power rule on the left and multiply 1/2 by n:
a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]
3. Next, lets take the log of both sides and use the properties of logarithms:
a. [tex]2^{\frac{1}{2}n } =\frac{2^x}{8^y}[/tex]
b. [tex]log(2^{\frac{1}{2}n }) =log(\frac{2^x}{8^y})[/tex]
c. One property we are allowed to use is bringing down the exponent on the left, and another property we can use is when you have the log of a fraction, that is the same thing as the log(numerator)-log(denominator)
d. [tex]\frac{1}{2}n *log(2) =log(2^x)-log(8^y)[/tex]
e. After we do this, we can use the same property of bringing down the exponent on the right side:
f. [tex]\frac{1}{2}n *log(2) =x*log(2)-y*log(8)[/tex]
g. After this, because log(2) and 1/2 are both numbers and are multiplied by n, we can divide them from both sides, and simplify:
h. [tex]\frac{1}{2}n =\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
i. [tex]2(\frac{1}{2})n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
j. [tex]n =2\frac{x*log(2)-y*log(8)}{log(2)}[/tex]
k. After this, we must simplify the fraction because log(2)/log(2)=1, and log(8)/log(2)=3, these are both because 2^1=2 and 2^3=8 respectively:
l. [tex]n =2(\frac{x*log(2)}{log(2)}-\frac{y*log(8)}{log(2)} )[/tex]
m. Lastly, let's cancel and distribute:
n. [tex]n =2(x-3y)[/tex]
o. [tex]n=2x-6y[/tex]
HELP? You put $1000 into an investment yielding 6% annual interest; you left the
money in for two years. How much interest do you get at the end of those
two years?
Answer:
$120
Step-by-step explanation:
as long as the interest is not being compounded, use the simple interest formula of:
Interest = Principal x Interest Rate x Time (in years)
I = 1000(.06)(2)
I = 120
Help anyone? Please hurry
write an equivalent expression to: 3(4x +6)
Answer:
12x+18
hope this helps
have a good day :)
Step-by-step explanation:
When two numbers are added , the sum is the same regardless of the order of addends … what property is that ?
Answer:
commutative property
Step-by-step explanation:
Answer:
Commutative property
Step-by-step explanation:
Example:
2 + 3 = 3 + 2
5 = 5
the graph of the parabola x=2y^2-6y+3 has an x-intercept (a,0) and two y-integers (0,b) and (0,c). Find a+b+c
9514 1404 393
Answer:
6
Step-by-step explanation:
The sum of the roots (y-intercepts) of the polynomial is the opposite of the ratio of the linear term coefficient and the leading coefficient.
b + c = -(-6/2) = 3
The x-intercept is the constant: a = 3
Then the sum a+b+c is ...
a + (b +c) = 3 + 3 = 6
_____
Additional comment
The factored form of the polynomial for the given intercepts will be ...
x = 2(y -b)(y -c)
and the expanded form of that is ...
x = 2y^2 -2(b+c)y +2bc
The y-coefficient is ...
-2(b+c) = -6
b +c = 3 . . . . . . . divide by -2. This is the result used above.
We show the graph so you can add up the values of the intercepts to see that the sum is 6.
Find the domain of the rational expression: x-5/3x-6
Answer:
[tex]Domain= \{x<2\ or\ x>2\}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x - 5}{3x - 6}[/tex]
Required
The domain
Equate the denominator to 0
[tex]3x - 6 = 0[/tex]
Solve for x
[tex]3x = 6[/tex]
[tex]x = 2[/tex]
This means that the value of x cannot be 2 for the given function.
So, the domain is:
[tex]Domain= \{x<2\ or\ x>2\}[/tex]
Tomando como referencia que los ángulos opuestos por el vértice son iguales. Obtén el valor de los ángulos que se te solicitan
a = 143o
b=
c=
d=
e=
f=
g=
Answer:
??
Step-by-step explanation:
Find all of the equilibrium solutions. Enter your answer as a list of ordered pairs (R,W), where R is the number of rabbits and W the number of wolves. For example, if you found three equilibrium solutions, one with 100 rabbits and 10 wolves, one with 200 rabbits and 20 wolves, and one with 300 rabbits and 30 wolves, you would enter (100,10),(200,20),(300,30). Do not round fractional answers to the nearest integer.
Answer:
[tex](0,0)[/tex] [tex](4000,0)[/tex] and [tex](500,79)[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Determine the equilibrium solutions
We have:
[tex]\frac{dR}{dt} = 0.09R(1 - 0.00025R) - 0.001RW[/tex]
[tex]\frac{dW}{dt} = -0.02W + 0.00004RW[/tex]
To solve this, we first equate [tex]\frac{dR}{dt}[/tex] and [tex]\frac{dW}{dt}[/tex] to 0.
So, we have:
[tex]0.09R(1 - 0.00025R) - 0.001RW = 0[/tex]
[tex]-0.02W + 0.00004RW = 0[/tex]
Factor out R in [tex]0.09R(1 - 0.00025R) - 0.001RW = 0[/tex]
[tex]R(0.09(1 - 0.00025R) - 0.001W) = 0[/tex]
Split
[tex]R = 0[/tex] or [tex]0.09(1 - 0.00025R) - 0.001W = 0[/tex]
[tex]R = 0[/tex] or [tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]
Factor out W in [tex]-0.02W + 0.00004RW = 0[/tex]
[tex]W(-0.02 + 0.00004R) = 0[/tex]
Split
[tex]W = 0[/tex] or [tex]-0.02 + 0.00004R = 0[/tex]
Solve for R
[tex]-0.02 + 0.00004R = 0[/tex]
[tex]0.00004R = 0.02[/tex]
Make R the subject
[tex]R = \frac{0.02}{0.00004}[/tex]
[tex]R = 500[/tex]
When [tex]R = 500[/tex], we have:
[tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]
[tex]0.09 -2.25 * 10^{-5} * 500 - 0.001W = 0[/tex]
[tex]0.09 -0.01125 - 0.001W = 0[/tex]
[tex]0.07875 - 0.001W = 0[/tex]
Collect like terms
[tex]- 0.001W = -0.07875[/tex]
Solve for W
[tex]W = \frac{-0.07875}{ - 0.001}[/tex]
[tex]W = 78.75[/tex]
[tex]W \approx 79[/tex]
[tex](R,W) \to (500,79)[/tex]
When [tex]W = 0[/tex], we have:
[tex]0.09 - 2.25 * 10^{-5}R - 0.001W = 0[/tex]
[tex]0.09 - 2.25 * 10^{-5}R - 0.001*0 = 0[/tex]
[tex]0.09 - 2.25 * 10^{-5}R = 0[/tex]
Collect like terms
[tex]- 2.25 * 10^{-5}R = -0.09[/tex]
Solve for R
[tex]R = \frac{-0.09}{- 2.25 * 10^{-5}}[/tex]
[tex]R = 4000[/tex]
So, we have:
[tex](R,W) \to (4000,0)[/tex]
When [tex]R =0[/tex], we have:
[tex]-0.02W + 0.00004RW = 0[/tex]
[tex]-0.02W + 0.00004W*0 = 0[/tex]
[tex]-0.02W + 0 = 0[/tex]
[tex]-0.02W = 0[/tex]
[tex]W=0[/tex]
So, we have:
[tex](R,W) \to (0,0)[/tex]
Hence, the points of equilibrium are:
[tex](0,0)[/tex] [tex](4000,0)[/tex] and [tex](500,79)[/tex]
I need the answer plsss
Answer: 12.5
Step-by-step explanation: Well 50 diviedby 4 = 12.5
2x - 5y + 3 = 6x - 3y + 7. If x = 4, what is the value of y?
Answer:
y = - 10
Step-by-step explanation:
2x - 5y + 3 = 6x - 3y + 7
2(4) - 5y + 3 = 6(4) - 3y + 7
8 - 5y + 3 = 24 - 3y + 7
11 - 5y = 31 - 3y
11 - 11 - 5y = 31 - 11 - 3y
- 5y = 20 - 3y
- 5y + 3y = 20 - 3y + 3y
- 2y = 20
- 2y ÷ - 2 = 20 ÷ - 2
y = - 10
Compute the product using (a) the definition where Ax is the linear combination of the columns of A using the corresponding entries in x as weights, and (b) the row-vector rule for computing Ax. If a product is undefined, explain why.
Answer:
When the number of rows or number of columns in the given matrix does not match the number of entries in the vector x.
When the number of columns in A [tex]\neq[/tex] the number of rows in B.
The matrix-vector is not defined.
Step-by-step explanation:
For example:-
Step 1:
Let's assume
[tex]A=\left ( \begin{matrix}-6 & 9\\ 2& 7\\ 1 & 0\end{matrix} \right )[/tex]3x2 & [tex]B=\left ( \begin{matrix}1\\ -6\\ 7\end{matrix} \right )[/tex]3x1
Since matrix multiplication of matric A and matrix B is only possible,
When the number of columns in A = Number of rows in B.
Step 2:
Let's A as m x n; Here m = rows and n=columns
B as p x q; Here p = rows and q=columns.
When n [tex]\neq[/tex] p, the matrix-vector is not defined.
That is matrix multiplication Ax is not possible.
Hence the matrix is not defined.
Use the given information to find the exact value of a.sin 20, b.cos
Answer:
Step-by-step explanation:
[tex]sin(2\theta)=2sin\theta~cos\theta\\\\cos(2\theta)=cos^2\theta-sin^2\theta\\\\cos\theta=\frac{24}{25}\\\\sin^2\theta+cos^2\theta=1~=>sin\theta=\pm\sqrt{1-cos^2\theta}\\\\we ~will~ use~ the ~minus~ sign~because~sin\theta~is~negative~in~IV~cuadrant\\sin\theta=-\sqrt{1-{(\frac{24}{25})}^2}=-\frac{7}{25}[/tex]
Now we cal calculate the quantities requested
[tex]sin(2\theta)=2sin\theta cos\theta=2(-\frac{7}{25})\frac{24}{25}=-\frac{336}{625}\\\\[/tex]
[tex]cos(2\theta)=cos^2\theta-sin^2\theta=(\frac{24}{25})^2-(-\frac{7}{25})^2=\frac{527}{625}[/tex]
[tex]tan(2\theta)=\frac{sin(2\theta)}{cos(2\theta)}=\frac{-\frac{336}{625}}{\frac{527}{625}}=-\frac{336}{527}[/tex]
Solve the equation ln(1+x)=1+ln(x)
Answer:
1/(e - 1)
Step-by-step explanation:
ln (1 + x) = 1 + ln (x)
ln (1 + x) - ln (x) = 1
ln ((1 + x)/x) = 1
(1 + x)/x = e = 1 + 1/x
x = 1/(e - 1)
Find the product, and write in lowest terms, if necessary.
- 3/7 (14/9)
Answer:
-2/3
Step-by-step explanation:
- 3/7 (14/9)
Rewriting
- 3/9 (14/7)
-1/3 * 2/1
Multiply
-2/3