Answer:
13.33%
Step-by-step explanation:
First we need to find the total number of marbles
4 blue marbles+ 3 green marbles+ 7 red marbles+ 1 yellow marble= 15
The probability of a red marble = number of red marbles over the total marbles
P(red) = red/total = 7/15
We keep the marble. There are now 6 red marbles
4 blue marbles+ 3 green marbles+ 6 red marbles+ 1 yellow marble= 14
We have 14 marbles in the bag
The probability of a blue marble = number of blue marbles over the total marbles
P(blue) = blue/total = 4/14 = 2/7
Then we multiply the probabilities together
P(red,blue0 = 7/15 * 2/7 = 2/15 =.13333333 = 13.33%
Final answer:
The probability of selecting a red marble and then a blue marble from the bag is about 13.33%.Hence, the answer is B.
Explanation:
The probability of selecting a red marble and then a blue marble from a bag that originally contains 4 blue marbles, 3 green marbles, 7 red marbles, and 1 yellow marble involves calculating the probability of two independent events.
First, the probability of selecting a red marble is the number of red marbles over the total number of marbles, so P(Red first draw) = 7/(4+3+7+1) = 7/15.
After selecting a red marble, there is one less marble in the bag, so the new total is 14, and still 4 blue marbles. The probability of then selecting a blue marble is the number of blue marbles over the new total, so P(Blue second draw) = 4/14 = 2/7.
To find the combined probability of both events happening in sequence (red then blue), we multiply the individual probabilities: P(Red then Blue) = P(Red first draw) * P(Blue second draw) = (7/15) * (2/7) = 2/15. Converting this to a percentage gives us approximately 13.33%.
I need help with solving the equation
2x - 5 = x - 7
and i need the steps to solve the problem
2x - 5 = x - 7
First, let's subtract x from both sides:
2x - x - 5 = x - x - 7
x - 5 = -7
Now, let's add 5 to both sides:
x - 5 + 5 = -7 + 5
x = -2
Answer:
x = -2
Step-by-step explanation:
2x - 5 = x - 7
2x - x - 5 = -7
2x - x = -7 + 5
Now we have isolated x
2x - x = 5 - 7
2x - x = -2
x = -2
the graph of a function never has two diferent points with the same x coordinate because
It is undefined, meaning it will not pass the vertical line test
Find the slope intercept form of the equation for the line that goes through (3, 5) and is parallel to y=5x - 1.
Answer:
y=5x-10
Step-by-step explanation:
slope intercept form is y=mx+b
since we know it is parallel to y=5x-1, we know that it has the same slope of 5.
So, we plug it in:
y=mx+b
y=5
x=3
(taken from point (3,5))
m=5
(taken from parallel line)
5=(5)(3)+b
5=15+b
b=-10
The equation would be y=5x-10
Use the correct order of operations to solve the problem below. 8 × 9 + 12 ÷ 4 - (5 + 3)
8•9+12\4-(5+3)
We are gonna use the method PEMDAS (Parenthesis, Exponents, Multiplication/Division, Addition/ Subtraction) to help us solve this equation.
8•9+12/4-8
72+12/4-8
72+3-8
75-8
67
To solve the equation 8 × 9 + 12 ÷ 4 - (5 + 3), apply the order of operations (BIDMAS/PEMDAS): Brackets, Indices, Division/Multiplication (left to right), Addition/Subtraction (left to right). The final answer is 67.
Explanation:The subject of this question is Mathematics and it pertains to the correct order of operations. To solve the provided equation, 8 × 9 + 12 ÷ 4 - (5 + 3), we must follow the order of operations which is popularly known as BIDMAS or PEMDAS. This acronym stands for:
Brackets(or Parentheses in the PEMDAS variant)Indices (or Exponents)Division and Multiplication(in order from left to right)Addition and Subtraction(in order from left to right).Here, we proceed by doing the operations within the brackets. (5+3) equals 8. Now, substitute 8 in the expression and we get 8 × 9 + 12 ÷ 4 - 8. Now according to BIDMAS/PEMDAS, the next step is to do multiplication and division from left to right. The expression now becomes 72 + 3 - 8. Finally, we do addition and subtraction from left to right, so the final result is 67.
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when is a sequence geometric
I also think its A cause you find the next term when your multiply the constant (common ratio) so it makes sense for it to be A
Answer:
when each term is multipled by the same number to get the next numberStep-by-step explanation:
[tex]\text{A geometric sequence:}\\\\a_1,\ a_2,\ a_3,\ a_4,\ ....\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant\\\\r-\text{common ratio}\\\\a_2=a_1r\\a_3=a_2r\\a_4=a_3r\\\vdots\\a_n=a_{n-1}r\\\\\text{next term is created from the previous one by multiplying it}\\\text{by the same number}[/tex]
Find the angle between u = i+sqr of 7j and v = -i+9j. Round to the nearest tenth of a degree.
[tex]\bf ~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\stackrel{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} u=i+\sqrt{7}j\implies &<1,\sqrt{7}>\\\\ v=-i+9j\implies &<-1,9> \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf u\cdot v\implies (1)(-1)~+~(\sqrt{7})(9)\implies -1+9\sqrt{7}\implies 9\sqrt{7}-1~\hfill dot~product \\\\[-0.35em] ~\dotfill\\\\ ||u||\implies \sqrt{1^2+(\sqrt{7})^2}\implies \sqrt{1+7}\implies \sqrt{8}~\hfill magnitudes \\\\\\ ||v||\implies \sqrt{(-1)^2+9^2}\implies \sqrt{1+81}\implies \sqrt{82} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{8}\cdot \sqrt{82}} \right)\implies \theta =cos^{-1}\left( \cfrac{9\sqrt{7}-1}{\sqrt{656}} \right) \\\\\\ \theta \approx cos^{-1}(0.8906496638868531)\implies \theta \approx 27.05[/tex]
make sure your calculator is in Degree mode.
there are two cubes. the smaller cube has a surface area of 24 square units. the larger cube has a surface area that is twice that of the smaller cube. what is the volume, in cubic units, of the larger cube?
24 times 2 which will be 48
The number line is a graph of the
Answer: real numbers?
Step-by-step explanation:
Answer:
The number line is graph of the or can be graph of any of the following set of numbers.
1. Natural numbers
2. Whole numbers
3. Integers
4.Rational Numbers
5.Irrational numbers
6. Real numbers
We can represent all this set of numbers on the graph of number line.
ILL GIVE BRANLIEST!!!
What value of g makes the equation true? (X+7)(x-4)=x^2+gc-28
Answer:
The left side is not equal to the right side, which means that the given statement is false.
False
Step-by-step explanation:
Answer: g= 3x/c
Not sure if this helps
If the arithmetic pattern shown continues, what will be the 8th number?
54, 48, 42, 36, ...
Each time, you are subtracting 6 to get to the next term. The 8th term would be 12.
Mr Johnson, the store owner, ordered 48 boxes of jawbreakers. Each box contained 392 pieces of candy. How many lawbreakers did Mr. Johnson order?
Answer:
Mr. Johnson would have ordered 18816 jaw breakers.
Step-by-step explanation:
Multiply 392 by 48
Mr. Johnson ordered a total of 18816 jawbreakers by multiplying the number of boxes (48) by the number of pieces of candy per box (392).
The question involves calculating the total number of jawbreakers Mr. Johnson ordered. To do this, we need to multiply the number of boxes ordered by the number of pieces of candy per box.
Step-by-step calculation:
Identify the number of boxes ordered: 48 boxes.
Identify the number of candies per box: 392 pieces.
Multiply the number of boxes by the number of candies per box to find the total: 48 boxes × 392 pieces/box = 18816 jawbreakers.
Therefore, Mr. Johnson ordered a total of 18816 jawbreakers.
The truck lot has 274 eighteen wheelers and 89 regular trucks. How many wheels are in the parking lot?
Put a equation please c: thank you
Answer=5288
Step-by-step explanation: I got it know so basically (18*274) + (89*4) which equals 4932+356=5288
Answer:
5288 wheels
Step-by-step explanation:
Wheel count: 18(274) + 89(4) (since regular trucks have 4 wheels)
This comes to 4932 + 356, or 5288 wheels in the lot.
The ratio of roses to daisies is 8 roses to 6 daisies.
If there are 16 roses, how many daisies are there?
12 Roses since your multiplying by 2
Answer:12
Step-by-step explanation: there are 8 roses and 6 daisies, if 8 turns into 16, that’s multiplied by 2, so you multiply 6 by 2 and get 12,
8 * 6
_ * _
16*X, cross multiply
Which expression is equivalent to (-3y-x)-(5y-8x)
A.-8y-8x
B.-8y+7x
C.2y-7x
D.8y+8x
Multiply the negative sign into the second bracket and get rid of both brackets
-3y-x-5y+8x
Collect like terms
-8y+7x
Answer:
B: -8y + 7x
Step-by-step explanation:
Start with (-3y-x)-(5y-8x). This is a subtraction problem. Subtract 5y from -3y, obtaining -8y. Next, subtract -8x from -x; this is equivalent to -x - (-8x), or 7x.
Then the difference -x + 8x = 7x.
Combining the x and y results, we get B: -8y + 7x.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = x - 16?
Answer: Option C.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where the slope is "m" and the intersection of the line with the y-axis is "b".
Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:
[tex]m=1\\b=0[/tex]
This means that the line passes through the origin (0,0)
And from the function g(x) in the form [tex]g(x)=x-16[/tex], , you can identify that:
[tex]m=1\\b=-16[/tex]
This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-16)
Therefore, the graph of f(x) must be shifted 16 units down to produce the graph of g(x)
A piece of machinery valued at $250,000 depreciates at 12% per year by the fixed rate method. After how many years will the value have depreciated to 100,000
Answer:
6.7 years (approx)
Step-by-step explanation:
The total cost of a dress,including tax, was $121.37. If 6% tax was added to the sale price, what was the sale price before taxes?
Answer:
We have
sale price + 6% x sale price = $121.37;
Then
(106/100) x sale price = $121.37;
sale price = $121.37 x 100 / 106;
sale price = $12137 / 106;
sale price = $114.50;
Step-by-step explanation:
To find the sale price of a dress before a 6% tax added up to a total of $121.37, divide the total by 1.06. The original sale price was $114.50.
The student is asking how to calculate the sale price of a dress before tax when the total cost, including a 6% tax, was $121.37. To find the sale price before taxes, you need to divide the total cost by 1 plus the tax rate expressed as a decimal.
First, convert the percentage to a decimal, which gives us 0.06 for a 6% tax. Then, add 1 to the tax rate (1 + 0.06 = 1.06) and divide the total cost by this sum to get the original price:
Sale price = Total cost / (1 + Tax rate)
Sale price = $121.37 / 1.06
Sale price = $114.50 (rounded to the nearest penny)
Therefore, the original sale price of the dress was $114.50.
Based on the graph how many real nunber solutions does x^3+6x^2+8=0 have ?
Answer:
ONE
Step-by-step explanation:
ONE real number solution. The graph intersects the x-axis in only one place.
What is the missing value in the equation shown □ x1/10=0.034
Answer:
0.34
Step-by-step explanation:
Do the inverse operation so;
0.034 / 1/10 = 0.34
Now go back and subsitute,
0.34 * 1/10 = 0.034
In the equation □ x 1/10 = 0.034, the missing value is 0.34 as obtained by isolating □ on one side, i.e., □ = 0.34.
Explanation:The equation presented in the question is □ x 1/10 = 0.034. The missing value is the number that should be multiplied by 1/10 to result in 0.034. To solve for this missing value, we can rearrange the equation using the basic algebraic method. We isolate the missing value (□) on one side by dividing both sides of the equation by 1/10. This results in □ = 0.034 / (1/10), which simplifies further to □ = 0.34. Therefore, the missing value in the equation □ x 1/10 = 0.034 is 0.34.
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what is 2/5 of 255???
Answer:
102
Step-by-step explanation:
Answer:
102.
Step-by-step explanation:
First, divide 255 by 5 (255÷5=51).
Then multiply the result of 255÷5 by 2 (51×2)
And 51×2=102
PLEASE HELP DETAILS ARE BELOW I WILL RATE BRAINIEST CHORD AND ARCS FIND THE MEASURE OF ARC CD DETAILS BELOW
Wouldn’t it be 36.7 because that’s the arch am I right?
Answer:
The measure of arc CD is 114.6°.
Step-by-step explanation:
Let the center of the circle be O and OP is perpendicular to CD at point point P.
The perpendicular line from the center of circle divide each chord in two equal parts. so, CP=DP.
[tex]CP=\frac{CD}{2}=\frac{36.7}{2}=18.35[/tex]
In a right angles triangle,
[tex]\sin\theta =\frac{opposite}{hypotenuse}[/tex]
In a right angles triangle OPC,
[tex]\sin\angle POC =\frac{18.35}{21.8}[/tex]
[tex]\angle POC =\sin^{-1} (\frac{18.35}{21.8})[/tex]
[tex]\angle POC \approx 57.3[/tex]
In triangle OPC and OPD,
[tex]OC=OD[/tex] (Radius)
[tex]OP=OP[/tex] (Reflexive property)
[tex]CP=DP[/tex] (Altitude on chord from center)
By SSS postulate
[tex]\triangle OPC\cong \triangle OPD[/tex]
[tex]\angle POC\cong \angle POD[/tex] (CPCTC)
[tex]\angle POC=\angle POD[/tex]
The measure of angle COD is
[tex]\angle COD=\angle POC+\angle POD[/tex]
[tex]\angle COD=2\angle POC[/tex]
[tex]\angle COD=2(57.3)[/tex]
[tex]\angle COD=114.6[/tex]
Therefore the measure of arc CD is 114.6°.
How does the a value affect your sine graph?
Answer:
Changing value of "a" changes the amplitude of the sine graph.
Step-by-step explanation:
Question says to find about how does the a value affect your sine graph.
General equation of sine function can be given as:
[tex]y=a\cdot\sin\left(b\left(x-h\right)\right)+k[/tex]
There value of "a" gives amplitude.
So changing value of "a" changes the amplitude of the sine graph.
Match the expression with its
name.
9x^4-3x+4
A. Quadratic monomial
B. Not a polynomial
C. Cubic binomial
D. Fourth-degree trinomial
Answer:
D. Fourth-degree trinomial
Step-by-step explanation:
I think this would be the correct answer because the highest degree the polynomial is raised to would be 4 (hence the fourth degree). It would be a trinomial because of 9x^4, 3x, and 4
What is the classification for this polynomial 4uv2w2
Answer:
The polynomial 4uv²w² is a monomial, since its a single term.
Degree of polynomial: it is sum of exponent of its variables.
power of u = 1, power of v = 2, power of w = 2
Degree of polynomial: 5
Which matrix is equal to... (picture added)
Answer:
D [tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right][/tex]
Step-by-step explanation:
Two matrices are equal when they
have the same sizes (so options A and B are false)have equal corresponding elements (so option C is false, because -6≠6, -6.5≠6.5, 1.7≠-1.7 and so on)If in option D the second row is 2 -8.5 19.3 , then these matrix is equal to the given.
Answer:
Its D on edge
Step-by-step explanation:
Marco buys a certain brand of shampoo for a supplier $7.25 per bottle he sells it to his customers at a makeup 25% what would the makeup be
Answer:
Markup= 1.81
Sale price =9.06
Step-by-step explanation:
The markup is the original prices times the markup rate
markup = 7.25 * 25%
= 7.25 * .25
=1.8125
We round this to the nearest cent
=1.81
The new sale price will be the original price + the markup
7.25+1.81
9.06
Answer:
9.06, or real explanation.
Step-by-step explanation:
"Marco buys a certain brand of shampoo for a supplier $7.25 per bottle he sells it to his customers at a makeup 25% what would the makeup be"
I am going to assume makeup is supposed to be markup, but I will answer all there is.
To find how much higher he charges people for the shampoo, we can multiply the original cost by the percent of increase, so in our case 7.25*.25
7.25*.25=1.8125, or $1.81
1.8125 is the total extra he charges people for the soap.
NOW FOR THE TOTAL COST-------------------
For the total cost we take the original + the added cost
1.8125+7.25=9.0625, or 9.06
Find the unknown: 4:2:3 = x : 18: 27
Final answer:
To find the unknown values in the given ratios, solve for x by setting up proportions and using cross-multiplication to calculate the missing value.
Explanation:
Find the unknown: 4:2:3 = x : 18: 27
Calculate the ratio of the known values: 4/2 = 2, and 3/2 = 1.5.Set up the proportion: 2 = x/18 and 1.5 = x/27.Solve for x by cross-multiplication: x = 36 for the first ratio and x = 40.5 for the second ratio. In equilateral ΔABC, AD, BE, and CF are medians. If BC = 12, then DO =
A) 2 square root 3
B) 3
C) 6
D) 6 square root 3
Answer:
Option A) 2 square root 3
Step-by-step explanation:
we know that
The equilateral triangle has three equal sides and three equal angles (60 degrees each)
The triangle BOD is a right triangle
we have
<OBD=(60°/2)=30°
BD=12/2=6 units
tan(<OBD)=DO/BD
tan(30°)=DO/6
DO=6*tan(30°)
DO=2√3 units
Answer:
The correct answer is A. 2√3
Step-by-step explanation:
Which statement is true?
is not a logarithmic function because the base is greater than 0.
is not a logarithmic function because the base is a square root.
is not a logarithmic function because the base is equal to 1.
is not a logarithmic function because the base is a fraction.
3 is correct , base is never equal to 1 cause all of solves of logarithm will be 0
Answer with explanation:
Consider a Logarithmic Function
[tex]y=\log_{a} b\\\\y=\frac{\log b}{\log a}\\\\ \text{if, a=1,then}\\\\y=\frac{\log b}{\log 1}\\\\y=\frac{\log b}{0}[/tex]
which is not defined.
Also,⇒ a∈(0,∞)≠1.
b> 0, that is, b∈(0,∞)
Option C:
is not a logarithmic function because the base is equal to 1.
What’s the distance between (-3,-22) and (-13,-23)
Answer:
d = sqrt(101)
Step-by-step explanation:
To find the distance between two points, we use the formula
d =sqrt ((x2-x1)^2 + (y2-y1)^2) where (x1,y1) and (x2,x2) are the points
d = sqrt ((-13--3)^2 + (-23--22)^2)
d = sqrt ((-13+3)^2 + (-23+22)^2)
d = sqrt((-10)^2 + (-1)^2)
d = sqrt(100)+1)
d = sqrt(101)