Answers
Problem 22
You have the correct answer since there are 9 non-white socks out of 15 total.
========================================================
Problem 23
Answer: A) 7/20------------------------
Explanation:
We have 10 blue marbles and 10+4+5+6 = 14+11 = 25 marbles total
This means there are 25-10 = 15 non-blue marbles.
The probability of selecting a non-blue marble is 15/25. I won't reduce this as we'll use this fraction to set up the next probability.
Because the marble is not replaced, this means we go from 15 non-blue marbles to 15-1 = 14 non-blue marbles. We also go from 25 total marbles to 25-1 = 24 total.
In short, the fraction 15/25 turns into 14/24 after subtracting 1 from each part.
--------------
Let's reduce each fraction mentioned
15/25 = (3*5)/(5*5) = 3/5
14/24 = (2*7)/(2*12) = 7/12
Then we'll multiply the two reduced fractions
(3/5)*(7/12) = (3*7)/(5*12) = 21/60
Lastly, we'll reduce that result
21/60 = (3*7)/(3*20) = 7/20
The probability of selecting two marbles that aren't blue is 7/20. This is done without replacement.
--------------
As a shortcut, we could say:
(15/25)*(14/24) = 7/20
Related Questions
Which of the following are natural numbers? There may be more than one correct answer. Select all that apply. If only one answer is correct, select "only" and the answer that applies. A.) only B.) −1,−2,−3,… C.) 7,8,9,… D.) fractions E.) 22
Answers
Answer:
Option C and option E
Step-by-step explanation:
C.) 7,8,9,…
E.) 22
Natural numbers are also called counting numbers.
They begin from 1, 2, 3 to infinity.
Natural numbers are greater than zero (0)
They do not have decimal point in them.
They are positive integers, as such they do not have minus
Natural numbers can include commas when they are large like 3,000
Select the correct answer.
Which equation matches the function shown in the graph?
Answers
Answer:
D. y = cos(4x)
Step-by-step explanation:
The graph passes through the points y = 0 and x = 3π/8
So you solve x = 3π/8 into 4 answers, which is equal to 0 is the correct answer.
James defines a circle as "the set of all the points equidistant from a given point." His statement is not precise enough
because he should specify that
O a circle includes its diameter
O the set of points is in a plane
O a circle includes its radius
O the set of points are collinear
Answers
A circle has a center, radius, diameter and points in a plane. Depending on the context, the definition of a circle must contain at least one of the following terms:
CenterRadiusDiameterPoints in a planeBased on James' definition of a circle, he needed to specify that the points are in a plane (option c).
As presented in his definition "the set of all the points" can be interpreted in several ways. Some of which are:
the set of points on a linethe set of points in a planethe set of points in a regionEtcOf this numerous possible interpretation, James should have specified that the set of points is in a plane
Learn more about circles at:
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Two lines cross to make the letter x. The letter is 5 inches wide. What is the angle where the lines cross
Answers
Answer:
24
Step-by-step explanation:
trudt
A piece of aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. What is its density of the aluminum rounded to the nearest hundredth? Only enter numerical values, which can include a decimal point.
Answers
Answer:
6.87 g/mL
Step-by-step explanation:
The density of an object can be found by dividing the mass by the volume.
[tex]density=\frac{mass}{volume}\\\\ d=\frac{m}{ v}[/tex]
We know that the aluminum occupies a volume of 12.7 milliliters and weighs 87.3 grams. Therefore, the mass is 87.3 g and the volume is 12.7 mL.
[tex]m= 87.3 g\\\\v=12.7 mL[/tex]
Substitute the values into the formula.
[tex]d= \frac{87.3 g}{12.7 mL}[/tex]
Divide 87.3 g by 12.7 mL
[tex]d=6.87401575 g/mL[/tex]
Round to the nearest hundredth. The 4 in the thousandth place tells us to leave the 7 in the hundredth place.
[tex]d= 6.87 g/mL[/tex]
The density of the aluminum is about 6.87 grams per milliliter.
Find the length of LM if L is the midpoint of NM. NL = 3x + 1, LM = 8x - 24.
Answers
Answer:
LM = 16
Step-by-step explanation:
From the question given:
L is the midpoint of NM
NL = 3x + 1
LM = 8x - 24
LM =?
Next, we shall determine the value of x.
This can be obtained as follow:
Since L is the midpoint of NM, it means that NL and LM are equal i.e
NL = LM
Thus, we can obtain the value of x as follow:
NL = 3x + 1
LM = 8x - 24
NL = LM
3x + 1 = 8x - 24
Collect like terms
3x - 8x = - 24 - 1
-5x = - 25
Divide both side by - 5
x = -25/-5
x = 5
Finally, we shall determine the length of LM as follow:
LM = 8x - 24
x = 5
LM = 8(5) - 24
LM = 40 - 24
LM = 16
Therefore, the length of LM is 16
[tex]12 \times \frac{5}{6} - 14x + \frac{1}{6} x[/tex]
can anyone help me solve this !
Answers
Answer:
x = 60/83
Step-by-step explanation:
Solve for x:
10 - (83 x)/6 = 0
Put each term in 10 - (83 x)/6 over the common denominator 6: 10 - (83 x)/6 = 60/6 - (83 x)/6:
60/6 - (83 x)/6 = 0
60/6 - (83 x)/6 = (60 - 83 x)/6:
(60 - 83 x)/6 = 0
Multiply both sides of (60 - 83 x)/6 = 0 by 6:
(6 (60 - 83 x))/6 = 6×0
(6 (60 - 83 x))/6 = 6/6×(60 - 83 x) = 60 - 83 x:
60 - 83 x = 6×0
0×6 = 0:
60 - 83 x = 0
Subtract 60 from both sides:
(60 - 60) - 83 x = -60
60 - 60 = 0:
-83 x = -60
Divide both sides of -83 x = -60 by -83:
(-83 x)/(-83) = (-60)/(-83)
(-83)/(-83) = 1:
x = (-60)/(-83)
Multiply numerator and denominator of (-60)/(-83) by -1:
Answer: x = 60/83
what’s the equation
Answers
Answer:
y = 4. [tex]3^{x}[/tex]
Step-by-step explanation:
For an exponential function in the form
y = a[tex]b^{x}[/tex]
Use ordered pairs from the table to find a and b
Using (0, 4 ), then
4 = a [tex]b^{0}[/tex] ( note [tex]b^{0}[/tex] = 1 ), thus
a = 4
y = 4 [tex]b^{x}[/tex]
Using (1, 12 ), then
12 = 4 [tex]b^{1}[/tex] = 4b ( divide both sides by 4 )
b = 3
Thus
y = 4 . [tex]3^{x}[/tex] ← exponential equation
Which data set matches the box-and-whisker plot?
A) 12 13 15 19 23 23 25 26.5 28 30
B) 15 13 19 21 23 24 27 29 32
C) 11 31 13 15 19 21 21 25 27 29 31
D) 11 13 15 19 23 23 24 26.5 28 33
Answers
Answer:
D) 11 13 15 19 23 23 24 26.5 28 33
Step-by-step explanation:
The box-and-whisker plot displayed above has the following key values that we can use to identify which of the given data set it matches. It has:
Minimum value = 11
Q1 = 15
Median = 23
Q3 = 26
Maximum value = 33
From the options given, using just the max and min value, we can conclude that the data set in option D matches the box plot.
The data set in option D has a minimum value of 11, and a maximum value of 33.
Is a – b a positive number or a negative number? How do you know?
b b
a
1
Please help I will give you Brainlyest
Answers
Answer:
A positive number.
Any negative subtracted from a positive will always be positive.
Answer:
a-b will be and will always be a POSITIVE number.
This is because a is positive, and b is negative.
However, when you subtract a negative number, you are actually just adding it.
So, a - (-b) = a+b.
This is why, it will always be positive.
Let me know if this helps!
Use the first five terms of the trigonometric series to approximate the value of [tex]sin\frac{\pi }{2}[/tex] to four decimal places.
a. 0.9878
b. 1.2345
c. 0.6578
d. 1.0000
Answers
Answer:b
Step-by-step explanation:
∣x−18∣=5 absolute value
Answers
Answer
x = 13 or x = 23
Step-by-step explanation:
|x-18| = 5 means there are two possibilities.
x-18 can equal 5 or equal -5 because absolute value sign makes everything inside it positive.
so you can write two equations and solve
first is x-18 = 5
x-18 + 18 = 5 + 18
x = 23
the second is x - 18 = -5
x - 18 + 18 = -5 + 18
x = 13
The two solutions are 13 and 23.
Please Help, I can't figure out this problem
Find the distance between the points (9,-7) and (5, -4).
A.
[tex] \sqrt{137} [/tex]
B.
5
C.
[tex] \sqrt{7} [/tex]
D.
25
Answers
Answer:
The answer is 5 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question
The points are (9,-7) and (5, -4)
The distance between them is
[tex]d = \sqrt{ ({9 - 5})^{2} + ({ - 7 + 4})^{2} } \\ = \sqrt{ {4}^{2} + ({ - 3})^{2} } \\ = \sqrt{16 + 9} \\ = \sqrt{25} [/tex]
We have the final answer as
5 unitsHope this helps you
Rewrite in simplest terms: 2(-4p-6)-5p2(−4p−6)−5p
Answers
Answer: 20p³+30p²-13p-12
Step-by-step explanation:
2(-4p-6)-5p²(-4p-6)-5p
-8p-12+20p³+30p²-5p
20p³+30p²-13p-12
please click thanks and mark brainliest if you like :)
Answer:
20p^3+30p^2-13p-12
Step-by-step explanation:
2(-4p-6)-5p^2(−4p−6)−5p
Distribute
-8p -12 +20p^3 +30p^2 -5p
Combine like terms
20p^3 +30p^2-13p-12
If x = 3 and y = 5 then which of the following expression has the value ( -8)
Answers
당신에게 도움이됩니다
[tex]( - 3) - 5 \\ = ( - 8)[/tex]
simplify 2 root 3 multiply by root 7
Answers
12x7
= 84 maybe this????????
Answer:
[tex]2 \sqrt{3} \times \sqrt{7} = 2 \sqrt{21} = 2 \times 4.58 = 9.16[/tex]
I hope I helped you^_^
[tex] {x}^{3} - {x}^{2} \div x[/tex]
Answers
x(x^2 - 1)
Explanation
Order of Operations is BIDMAS
Therefore division before subtraction.
x^2 / x^1
Use law of indices where
x^m / x^n = x^m-n
So
x^2 / x^1 = x^2-1 = x^1 = x
x^3 - x is no possible as they aren’t like terms, However you can factorise to obtain
x(x^2 - 1)
Vertical plane R intersects horizontal plane P. Points A, D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right half of plane P. Point H is above and to the right of the planes. Point J is below and to the left of the planes. Which statements are true based on the diagram? Check all that apply.
Answers
Answer:
1,2,4,5
Step-by-step explanation:
Answer:
line DB, H, and D
Step-by-step explanation:
the average American student is in class 330 minutes a day how many hours is this
Answers
Let assume hours be x.
1 hour = 60 minutes
x hour = 330 minutes
[tex] \bf \large \rightarrow \: \: \frac{1}{60} \: \times \: \frac{x}{330} \: \: \: \small\rm({\red{ Cross \: \: Multiplying }}) \\ [/tex]
[tex]\bf \large \rightarrow \: \: 60x \: = \: 330[/tex]
[tex]\bf \large \rightarrow \: \: x \: = \: \cancel \frac{330}{60} \: = \: 5.5 \\ [/tex]
Total hours in a day is 5.5
The average American student is in class 5.5 hours a day.
What is Measurement unit?A measurement unit is a standard quality used to express a physical quantity. Also it refers to the comparison between the unknown quantity with the known quantity.
We have to given that;
The average American student is in class 330 minutes a day.
We know that;
⇒ 1 hours = 60 minutes
⇒ 1 minute = 1/60 hours
Hence, We can change the unit as;
⇒ 330 minutes = 330 / 60 hours
= 5.5 hours
Thus, It is equal to 5.5 hours.
Learn more about the measurement unit visit:
https://brainly.com/question/777464
#SPJ2
Help mee whats the answerr :( Q: The midpoint of the line segment with the coordinates (9, -8) and (-2, 1) is _
Answers
Answer:
(3.5, - 3.5)
Step-by-step explanation:
Using the Midpoint theorem, we have
x=(9-2)/2=7/2=3.5
y=(-8+1)/2=-7/2=-3.5
Simplify the expression
Answers
Answer:
B
Step-by-step explanation:
[tex] \frac{{3}^{5} }{ {3}^{3} } = {3}^{5 - 3} = {3}^{2} = 9 [/tex]
I REALLY NEED HELLP with these 3 questions PLLZZZZ!!!!
Answers
Answer:
Below
Step-by-step explanation:
6)
The sum that we have is 85 +99
We want to express it as the product of a whole number thar is greater than 1 and a sum of two whole numbers.
Notice that: 85 = 84+1
● 85 + 99 = 84 + 1 + 99 = 84 + 100
84 and 100 are even numbers so we can factor using 2.
● 84 + 100 = 2(42 +50)
2 is greater than one and 42+50 is the sum of two whole numbers so all the conditions are satisfied.
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7)
Dasha go on business trips every 9 months while Charlie go every 6 months.
They came back at the same time.
So Charlie has to wait 6 months before going and Dasha nine months.
Dasha will be alone home for 3 months so she doesn't need to hire someone.
Here is what happens:
● Both Dasha and Charlie are home.
● After 6 months Charlie go and Dasha is at home
● after 3 months Dasha goes also and Charlie is home
● after 3 months charlie go and Dasha is home
● after 3 months both are home.
● aftet 3 months they both go
So the period is:
● 6+3+3+3+3 = 18
So after 18 months they should hire someone.
The picture below makes the understanding easier. ( x is Charlie and y is Dasha)
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8)
Pime factorisation
● 96÷2= 48
● 48÷2= 24
● 24 ÷ 2 = 12
● 12 ÷ 2 = 6
● 6÷2 = 3
● 3÷3 = 1
=> 96 = 2 × 2 ×2×2×2 ×3 =2^5 ×3
● 80÷ 2 = 40
● 40 ÷ 2 = 20
● 20÷2 = 10
● 10÷2 = 5
● 5÷5 = 1
=> 80 = 2×2×2×2×5 = 2^4 × 5
So the GCF is 2^4 wich is 16
He can make 16 party
● 80÷16 = 5
There will be 5 boxes of raisin in each one
● 96÷16 = 6
There will be 6 pencils in each party
help me please!! i am already failing the test
Answers
Answer:
2x²+2x
Step-by-step explanation:
you have f(x)= x+1 and g(x)= 2x
you must multiply the 2 polynomials
(1x·2x) +( 1·2x)
1·2=2 x^1·x^1=x²
2x²
1·2x=2x
PLEASE HELP Find the value of the following expression (2 ^8 • 3 ^-5 • 6 ^0) ^-2 • (3 ^-2 over 2 ^3 ) ^4 •2 ^28
Answers
the answer is very simple if you don't understand ask to your teacher
please help need nowww will give brainlest to right answer
-144π = -12πk
Answers
Answer:
k = 12
Step-by-step explanation:
isolate the variable; divide both sides that dont contain the variable
Answer:
K=12
Step-by-step explanation:
-144π = -12πk
divide by -12π on both sides to find k
-144π / -12π = k
12 = k
Probability ~
The probability of selecting a white chocolate from a box is 1/5 and the probability of selecting a dark chocolate from the same box is 1/3. The other chocolates are milk chocolates.
A. Find the probability of selecting a milk chocolate.
B. How many chocolates in total could be in the box? Give reasons. Is there more than one answer?
Answers
A.
A - selecting a milk chocolate
[tex]P(A)=1-\dfrac{1}{5}-\dfrac{1}{3}=\dfrac{15}{15}-\dfrac{3}{15}-\dfrac{5}{15}=\dfrac{7}{15}[/tex]
B.
The number of the chocolates must be a multiple of 15, so there can be 15,30,45,... etc. chocolates in the box.
Use mathematical induction to prove the statement is true for all positive integers n. 8 + 16 + 24 + ... + 8n = 4n(n + 1)? Please show work
Answers
Answer:
The sum of the series is Sₙ = n/2 [2·a + (n - 1)·d] where a = 8 and d = 8, therefore 8 + 16 + 24 + ... + 8·n = 4·n·(n + 1)
Step-by-step explanation:
The parameters given are;
8 + 16 + 24 + ... + 8·n = 4·n·(n + 1)
The given series of numbers can be checked to find;
16 - 8 = 24 - 16 = 8
Therefore, the series of numbers is an arithmetic progression with first term = 8, and common difference = 8, we have;
The sum of n terms of an arithmetic progression, Sₙ, is given as follows;
Sₙ = n/2 [2·a + (n - 1)·d]
Where;
a = The first term of the series of numbers = 8
d = The common difference = 8
∴ Sₙ = n/2 × [2×8 + (n - 1)×8] = n [2×8/2 + (n - 1)×8/2] = n × [8 + (n - 1)×4]
Sₙ = n × [8 + (n - 1)×4] = n × [8 + 4·n - 4] = n × [8 - 4 + 4·n] = n × [4 + 4·n]
Sₙ =n × [4 + 4·n] = 4 × n×(n + 1) = 4·n·(n + 1).
Simplify square roots
Simplify.
Remove all perfect squares from inside the square root.
12
Answers
Answer:
[tex]2\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{12}[/tex]
[tex]\sqrt{(4)(3)}[/tex]
square root of 4 is 2
[tex]2\sqrt{3}[/tex]
the 3 stays inside
the number ten is raised to a power between 0 and 1. The answer has to be between which two numbers?
Answers
And any number raised to 1 is the same number
Value of [tex]10^x[/tex] will be between 1 and 10.
Given in the question,
A number [tex]10^x[/tex] where, 0 < x < 1If we have to find the range of the value of the number, substitute x = 0 and 1
[tex]10^0=1[/tex]
[tex]10^1=10[/tex]
Therefore, value of [tex]10^x[/tex] will vary between 1 and 10.
Learn more,
https://brainly.com/question/19465964
17
Ax+2y=12
8x +32 y=144
For what value of A will the system of equations above
have no solutions?
Answers
Answer:
Hello,
a=0.5
Step-by-step explanation:
[tex]\left \{ \begin{array}{ccc}ax+2y&=&12\\8x+32y&=&144\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}ax+2y&=&12\\x+4y&=&18\\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}(1-2a)x&=&-6\\x+4y&=&18\\\end{array}\right.\\\\if\ 1-2a\neq 0\ (or\ a\neq \dfrac{1}{2} )\ then\\\left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{18-\dfrac{6}{2a-1}}{4} \\\end{array}\right.\\\\[/tex]
[tex]\Longleftrightarrow\ \left \{ \begin{array}{ccc}x&=&\dfrac{6}{2a-1}\\\\y&=&\dfrac{ 3(3a-2)}{2a-1} \\\end{array}\right.\\\\[/tex]
else\
[tex]a=\dfrac{1}{2} \\\Longleftrightarrow\ \left \{ \begin{array}{ccc}\dfrac{1}{2} x+2y&=&12\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}x+4y&=&24\\\\x+4y&=&18 \\\end{array}\right.\\\\\\\Longleftrightarrow\ \left \{ \begin{array}{ccc}0=6\ !!!!!\\\end{array}\right.\\\\Syetem\ has\ no\ solution\\[/tex]