Answer:
Step-by-step explanation:
2^(-3) = 1/2^3 = 1/8
A minus means put the number in the numerator if it was in the denominator.
A minus means put the number in the denominator it was in the numerator.
If there is no denominator, create one.
Milan uses a probability simulator to roll a six-sided number cube 100 times and to flip a coin 100 times. The results of the experiment are shown below:
Number on the Cube Number of Times Rolled
1 10
2 8
3 33
4 29
5 11
6 9
Heads Tails
29 71
Using Milan's simulation, what is the probability of rolling a 5 on the number cube and the coin landing on tails?
rolling a 5= 11/100
getting tails=71/29
i’m pretty sure you times the fractions together to get an overall probability
The probability of rolling a 5 on number cube and tail on coin is:
[tex]P(A\bigcap B)=\dfrac{781}{10000}[/tex]
or
[tex]P(A\bigcap B)=0.0781[/tex]
Step-by-step explanation:Let A denote the event of rolling a 5 on the number cube.
and B denote the event of coin landing on tails.
Let P denote the probability of an event.
Also, event A is independent of event B.
( Since, both the events are not affected by happening of each other )
We are asked to find the probability: P(A∩B)
We know that:
[tex]P(A\bigcap B)=P(A)\cdot P(B)[/tex]
( Since, both the events are independent )
Also,
[tex]P(A)=\dfrac{11}{100}[/tex]
( Since, 5 occurs 11 times out of a total of 100 times on the number cube )
and
[tex]P(B)=\dfrac{71}{100}[/tex]
Hence, we have:
[tex]P(A\bigcap B)=\dfrac{11}{100}\times \dfrac{71}{100}[/tex]
i.e.
[tex]P(A\bigcap B)=\dfrac{781}{10000}[/tex]
i.e.
[tex]P(A\bigcap B)=0.0781[/tex]
6 consecutive integers starting with 3
the set of 6 consecutive integers starting with -3:
{ -3,-2,-1,0,1,2 }
Answer:
Step-by-step explanation:
let :
x , x+1 , x +2 , x + 3 , x+4 , x+5 ....... ( 6 consecutive integers )
x +( x+1 ) + (x +2) + (x + 3)+ (x+4) + ( x+5) = - 3
6x+16 = - 3
6x = - 3 - 16
6x = - 18
x v= -18/6
x = - 3
6 consecutive integers are : -3 ; - 2 ; - 1 ; 0 ; 1 ; 2
Identify, graph, and state the symmetries for the polar equation r=2+2sintheta.
Which are the critical points in the graph? please help
Answer:
Graph = Cardioid
Axis of symmetry = y-axis
Critical points= [tex]\frac{\pi}{2} , \frac{3\pi }{2}[/tex]
Step-by-step explanation:
General equation for this type of cardioid is:
a ± b sinθ
Condition for a cardioid = [tex]\frac{a}{b} = 1[/tex]
Axis of symmerty according to the graph of 2 + 2 sinθ is along y-axis.
Critical points:
r = 2 + 2 sinθ ⇒ r = 2(1 + sinθ) ⇒ r' = 2 cosθ
∵derivative of 1 + sinθ = cosθ
For finding critical point the derivative is equal to zero,
2 cosθ = 0 ⇒ cosθ = 0
the value of cosθ is equal to zero at intervals: [tex]\frac{\pi}{2} , \frac{3\pi }{2}[/tex]
So, critical points = [tex]\frac{\pi}{2} , \frac{3\pi }{2}[/tex]
help quick. One car traveled 220 miles and drove 10 mph hour slower than a second car which drove 260 miles. If the cars were traveling for the same time, how fast was the first car traveling?
65 mph
75 mph
55 mph
85 mph
Answer:
55mph
Step-by-step explanation:
car A distance, d1= 220
car b distance, d2= 260
speed of car A, s1= speed of car B- 10
let speed of car B be s2
s1= s2-10
speed = distance/time
time= distance/speed
As time of car A= time of car B
distance of Car A/speed of Car A=distance of Car B/speed of Car B
220/s2-10= 260/s2
s2=(s2-10)260/220
s2=65
s1= s2- 10
= 65-10
=55
hence speed of first car is 55mph !
Answer: 55 mph
Step-by-step explanation:
What value is equivalent to 8 · 9 − 2 · 5?
It’s important to keep PEMDAS in mind (order of operations) when solving this.
PEMDAS stands for: Parentheses, exponents, multiplication, division, addition, subtraction.
So when doing this problem we can see that there are two multiplication problems (8 • 9) and (2 • 5) so let’s put those to the side and solve those.
8 • 9 = 72
2 • 5 = 10
Now we can put the problem back together as 72-10
So ... 72-10=62
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for 1 year or less?
6 schools
8 schools
12 schools
14 schools
Please explain, best answer and explanation gets brainliest
Answer:
The answer is 6 schools.
In a box and whisker plot, every piece of whisker or box represents 25% of the whole number of schools.
The schools participated 1 year or less are represented by the left part of the whisker. Which stands for 25%.
BOOM
Step-by-step explanation:
On analyzing the boxplot, we find that 6 schools have participated for 1 year or less.
What is a boxplot?A boxplot is a standardized way of displaying the distribution of data based on a five number summary (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).
The box extends from 1 to 6 on the number line. This implies first quartile (Q1) = 1 and third quartile (Q3) = 6.
There is a vertical line at 3.5, median = 3.5.
The whiskers end at 0 and 8, i.e., minimum = 0 and maximum = 8.
Since, Q1 = 1, this implies 25% of the schools participated for 1 year or less.
(First quartile (Q1) is the value under which 25% of data points are found when they are arranged in increasing order.)
Number of schools that have participated for 1 year or less = 25% of 24 = [tex]\frac{25}{100} * 24 = 6[/tex]
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Which number line shows the solution to 4 + (-4)
The answer is the third one because the answer to 4-4 is 0.
The Number line which shows the solution 4 + (-4) is the third number line.
The solution to the statement 4 + (-4) is correctly given by the third number line.
The solution given by plot 1 is : (-4) + (-4) as both arrows points 4 units to the left.
The solution given by plot 2 is : ( 4 + 4) as both arrows points 4 units to the right.
The solution given by plot 3 is (4) + (-4) as one arrow points 4 units to the left and the other points 4 units to the right.
The solution given by the plot 4 is (-4 + 8) as one arrow points 4 units to the left and the other points 8 units to the right.
Therefore, the Number line which shows the solution 4 + (-4) is the third number line.
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You are in charge of buying the chips and soda for
a party. You must spend $52. The chips cost $5
per bag and the soda costs $3 for a gallon bottle.
You want to buy 14 items. How many
bottles of soda should you buy?
Show work
Answer:
9 bottles of soda can be bought.
Step-by-step explanation:
Let chips represented by x
and soda represented by y
then
x + y = 14 eq(1)
and
5x + 3y = 52 eq(2)
Solving the equations simultaneously we can find the value of x and y
Multiplying eq(1) with 5 and subtracting from eq(2)
5x + 3y = 52
5x + 5y = 70
- - -
___________
-2y = -18
y = -18/-2
y = 9
Putting value of y in eq(1)
x + y =14
x + 9 = 14
x = 14 - 9
x = 5
As y represents the soda, so 9 bottles of soda can be bought.
Select the correct answer.
Which operation should be performed first for calculations involving more than one arithmetic operation?
A. parentheses
В. exponents
C.multiplication
D.division
Answer:
parenthesis
Step-by-step explanation:
A common technique that is being used in solving with several arithmetic operations is the PEMDAS. It stands for "Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction". It is the order to be followed when calculating involving more than one arithmetic operation.
The correct first operation to perform in a calculation involving multiple arithmetic operations is parentheses, as per the order of operations, known as PEMDAS or BEDMAS.
The correct operation that should be performed first for calculations involving more than one arithmetic operation is parentheses. According to order of operations, the sequence you would follow is: Parentheses (or grouping symbols), Exponents, Multiplication and Division (from left to right), and finally Addition and Subtraction (from left to right). This is also commonly remembered by the acronym PEMDAS in the American system or BEDMAS in the Canadian system, indicating the sequence: Parentheses/Brackets, Exponents, Multiplication/Division, and Addition/Subtraction.
thirty-five maths majors, 33 music majors, and 45 history majors are randomly selected from 251 math majors, 518 music majors 332 history majors at the state university
identify the type of sampling (simple random sample, cluster, stratified, convenience, systematic
The scenarios provided represent different types of sampling methods, such as stratified, cluster, simple random, and systematic, based on how the samples are selected from the population.
Explanation:The type of sampling can be determined based on how the samples are chosen from the population. Here, we discuss different sampling methods using the provided scenarios.
Stratified sampling is used when the soccer coach selects players from different age groups to form a team. Each age group is a stratum.Cluster sampling takes place when a pollster interviews all human resource personnel in a few high tech companies. Each company is a cluster.When a high school educational researcher interviews an equal number of female and male teachers, this is an example of stratified sampling as well.The high school principal who polls an equal number of students from each grade level utilizes stratified sampling.A sample of high school students chosen by first organizing by class and then selecting an equal number from each also exemplifies stratified sampling.If a completely random method is used to select students giving each one the same chance of being chosen, this represents simple random sampling.When selecting a sample proportionate to class standings in a college, and drawing from each class based on their representation in the total population, stratified sampling is again used.Using a random number generator to select every 50th student from an alphabetical list represents systematic sampling.the base and hight is 5 and 5
Tariq also designs hot tubs. The diameter of the hot tub is 3 meters. What is the area of the deck that surrounds the hot tub? If necessary, round to the nearest tenth.
3.3 m2
7.1 m2
17.9 m2
18.8 m2
Answer:
The area of the deck that surrounds the hot tub is 17.9 m².
Step-by-step explanation:
Base of deck = 5 m
Height of deck = 5 m
Area of deck = base*height
= 5*5
= 25 m²
A circular hot tub is placed in the deck whose diameter is 3 m.
Radius = diameter/2
= 1.5 m
Area of the circular hot tub = πr²
= 3.14*(1.5*1.5)
= 7.07 m²
Area of the deck that surrounds the hot tub = Area of deck - Area of tub
= 25 - 7.07
= 17.93 m²
= 17.9 m²
Answer:
17.9
Step-by-step explanation:
A.3.3
B.7.1
C.17.9
D.18.8
What is assumed mean
Answer: as·sume
verb
past tense: assumed; past participle: assumed
1.
suppose to be the case, without proof.
"it is reasonable to assume that such changes have significant social effects"
synonyms: presume, suppose, take it, take for granted, take as read, take it as given, presuppose, conjecture, surmise, conclude, come to the conclusion, deduce, infer, draw the inference, reckon, reason, guess, imagine, think, fancy, suspect, expect, accept, believe, be of the opinion, understand, be given to understand, gather, glean; More
2.
take or begin to have (power or responsibility).
"he assumed full responsibility for all organizational work"
synonyms: accept, shoulder, bear, undertake, take on, take up, take on oneself, manage, handle, deal with, get to grips with, turn one's hand to
"the children are to assume as much responsibility as possible"
seize (power or control).
"the rebels assumed control of the capital"
synonyms: seize, take, take possession of, take over, take away, appropriate, commandeer, expropriate, confiscate, requisition, hijack, wrest, usurp, preempt, arrogate to oneself, help oneself to, claim, lay claim to
"Edward I used the conflict to assume control of Scotland"
Step-by-step explanation:
suppose to be the case, without proof.
"I assumed you were done with the dishes"
Order the numbers from least to greatest 2 -5 and 1
Hello!
LEAST TO GREATEST-5 1 2
can you find x for the following equation?
7x+12=3(5x-12)
7x + 12 = 3(5x - 12)
Step 1: Distribute the 3 to the numbers in the parentheses (5x and -12)
7x + 12 = (3 × 5x) + (3 × (-12))
7x + 12 = 15x + (-36)
Step 2: Combine like terms
x's go with x's (7x and 15x)
Subtract 7x to both sides
(7x - 7x) + 12 = (15x - 7x) + (-36)
(0) + 12 = 8x - 36
12 = 8x - 36
Normal numbers go with normal numbers
Add 36 to both sides
12 + 36 = 8x + (-36 + 36)
48 = 8x
Step 3: Isolate x by dividing 8 to both sides
48/8 = 8x/8
6 = x
Hope this helped!
Answer:
x = 6
Step-by-step explanation:
Eliminate parentheses using the distributive property.
7x +12 = 15x -36
You have x-terms and constants on both sides of the equal sign. One way to approach this is to find the x-term with the least coefficient (it is 7x) and subtract everything on that side of the equation.
(7x +12) -(7x +12) = (15x -36) -(7x +12)
Simplify, also known as "collect terms."
0 = 8x -48
Now, divide by the coefficient of x: 8.
0 = x -6
Add the opposite of the constant: 6.
6 = x
__
Alternate solution
By looking for the x-term with the smallest coefficient, we get a positive result when we subtract that term. If we were to subtract 15x from both sides of the equation, it would be ...
-8x +12 = -36 . . . . . . . with a negative x-coefficient
You can still work the problem this way, but it can introduce errors if you're not careful with signs. To finish this, we would subtract 12 to get the x-term by itself:
-8x = -48
Then we would divide by the x-coefficient, -8.
x = -48/-8 = 6 . . . . . same solution; same number of steps
_____
Whenever you add, subtract, multiply, divide, you do the same thing to both sides of the equation.
if y=-3x, find x's and y's value in 4x-2y=-20
Answer:
x=-2
Step-by-step explanation:
Answer:
x = - 2
y = 7
Step-by-step explanation:
4x - 2y = - 20
Now substitute - 3x for y.
4x - 2(-3x) = -20 combine the xs in the brackets
4x + 6x = - 20 Make the addition
10x = - 20 Divide by 10
x = - 20/10 Do the division
x = - 2
===============
3x - 2y = - 20 Put - 2 in for x
3(-2) - 2y = - 20 remove the brackets
- 6 - 2y = - 20 Add 6 to both sides
-2y = - 20 + 6 Combine
-2y = - 14 Divide by - 2
y = - 14/-2
y = 7
These prisms are similar. Find the volume of the larger prism in decimal form. Need help please.
Answer:
518.4 in³
Step-by-step explanation:
The ratio of the sides of the prisms = 5 : 6, hence
the ratio of their volumes = 5³ : 6³ = 125 : 216
let x be the volume of the larger prism then by proportion
[tex]\frac{125}{300}[/tex] = [tex]\frac{216}{x}[/tex] ( cross- multiply )
125x = 216 × 300 ( divide both sides by 125 )
x = [tex]\frac{216(300)}{125}[/tex] = 518.4
The volume of the larger prism is 518.4 in³
Geometry question please help due tomorrow
Write the quadratic function
General vertex formula is
(X-h)^2 +k=y
where (h,k) is the vertex
X^2 +6X+14=y
X^2 +6x +9 +14-9=y
Answer is :
(X+3)^2 +5=y
john has a spinner with eight equal sectors with labels from 1 to 8. he spins the spinner once. what is the probability that he gets a number less than 4 or a multiple of 4?
3/4
3/32
1/2
5/8
Answer:
3/32
Step-by-step explanation:
Labels from 1 to 8:
The probability that he gets a number less than 4 (1, 2, 3) is 3/8
The probability to get a multiple of 4 (4, 8) is 2/8 = 1/4
So
The probability that he gets a number less than 4 or a multiple of 4:
= 3/8 x 1/4
= 3/32
Answer
3/32
Answer:
The answer is 5/8.
I saw an answer that gave 3/32, and since I knew that was wrong I wanted to give my answer to not lead others astray.
Step-by-step explanation:
There are 8 numbers john can pick.
Numbers less than 4 are (1, 2, 3)
Numbers that are a multiple of 4 are (4, 8)
The word "or" in the question implies addition, and adding 3/8 and 2/8 yields a result of 5/8. This is also the answer in the test that I took.
Beth is making fruit salad. She adds 5 grapes for every 2 strawberries. If she uses 16 strawberries, how many grapes will she use?
A.
10
B.
160
C.
80
D.
40
Answer:
D
Step-by-step explanation:
Well, we know that for every 2 strawberries are 5 grapes.
What times 2 is 16? 8.
so, it would be 40 grapes.
(This is now making me hungry.)
The function c(f) = 5/9 (f-32) allows you to convert degrees to Fahrenheit to degrees Celsius. Find the inverse of the function so that you can convert degrees Celsius back to degrees Fahrenheit
For this case we have the following function:
[tex]c (f) = \frac {5} {9} (f-32)[/tex]
We must find the inverse function. For this we follow the steps below:
Replace c (f) with y:
[tex]y = \frac {5} {9} (f-32)[/tex]
We exchange variables:
[tex]\frac {5} {9} (y-32) = f[/tex]f = \frac {5} {9} (y-32)
We solve for "y":
[tex]\frac {5} {9} (y-32) = f[/tex]
We multiply by[tex]\frac {9} {5}[/tex]on both sides of the equation:
[tex]y-32 = \frac {9} {5} f[/tex]
We add 32 to both sides of the equation:
[tex]y = \frac {9} {5} f + 32[/tex]
We change y by[tex]c^{ -1} (f):[/tex]
[tex]c^{-1} (f) = \frac {9} {5} f + 32[/tex]
Answer:
[tex]c^{-1} (f) = \frac {9} {5} f + 32[/tex]
Answer:
[tex]f(c)=\frac{9}{5}c+32[/tex]
Step-by-step explanation:
Given function that is used to convert degrees to Fahrenheit to degrees Celsius,
[tex]c(f)=\frac{5}{9}(f-32)[/tex]
Let y represents the output value of the function and x represents the input value,
[tex]y=\frac{5}{9}(x-32)[/tex]
Switch x and y,
[tex]x=\frac{5}{9}(y-32)[/tex]
Isolate y,
[tex]9x=5(y-32)[/tex]
[tex]\frac{9}{5}x=y-32[/tex]
[tex]\implies y = \frac{9}{5}x+32[/tex]
[tex]\implies f(c)=\frac{9}{5}c+32[/tex]
Which is the required function.
PLEASE HELP! URGENT! WHAT'S B
Answer:
"B" represents the area of the base so if the base is a square than a capital "B" means to find the area of the base (square). To find the area of a square it would be length x width.
Step-by-step explanation:
jack sold magazine subscriptions for $2 each receiving 25% commission on his sales. how much did he earn for each subscription
Answer: $42
Step-by-step explanation:
Answer:
$0.50
Step-by-step explanation:
We have been given that Jack sold magazine subscriptions for $2 each receiving 25% commission on his sales. We are asked to find Jack's income for each subscription.
Jack's income for each subscription will be equal to 25% of $2.
[tex]\text{Jack's income}=\$2\times \frac{25}{100}[/tex]
[tex]\text{Jack's income}=\$2\times 0.25[/tex]
[tex]\text{Jack's income}=\$0.50[/tex]
Therefore, Jack's income for each subscription will be $0.50.
The sum of a and b is equal to 24. Let b = 11. Which equation can be used to find the value of a?
Answer: 24-11=a
Step-by-step explanation:
please help ASAP! will give brainlist.
Your friend George is 6 feet tall and his shadow is 10 feet long. At the same time, the shadow of the flagpole was 85 feet long. What is the height of a flagpole?
A. 141.6 feet.
B. 51 feet.
C. 1.4 feet.
D. 60 feet.
Answer: 51 feet
Since we know George's height, the length of George's shadow, and the length of the flagpole's shadow we have all the information we need
Now we can set up a relationship between George and the flagpole:
[tex] \frac{6}{10} = \frac{x}{85} [/tex]
6 represents George's height
10 represents the length of George's shadow
x is the unknown height of the flagpole
85 is the length of the flagpole's shadow
Now you solve for x:
[tex]x = \frac{85 \times 6}{10} \\ x = \frac{510}{10} \\ x = 51[/tex]
So, the height of the flagpole is 51 feet
Ava and Kelly ran a road race, starting from the same place at the same time. Ava ran at an average speed of 6 miles per hour. Kelly ran at an average speed of 8 miles per hour. When will Ava and Kelly be 3/4 mile apart?
To find out when Ava and Kelly will be 3/4 mile apart, we can set up a distance equation based on their average speeds. The time it takes for Ava and Kelly to be 3/4 mile apart is 22.5 minutes.
Explanation:To find out when Ava and Kelly will be 3/4 mile apart, we can set up a distance equation based on their average speeds.
Let's assume that the time it takes for Ava and Kelly to be 3/4 mile apart is t. Ava's distance can be represented by the equation 6t, while Kelly's distance would be 8t. We can set up the equation:
6t - 8t = 3/4
Simplifying, we have -2t = 3/4. To solve for t, we can multiply both sides of the equation by -1/2 to eliminate the negative sign:
t = (3/4) * (-1/2) = -3/8
Since time cannot be negative, we can conclude that Ava and Kelly will be 3/4 mile apart after 3/8 of an hour or 22.5 minutes.
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Answer:
They will 3/4 miles apart after 3/8 hours.
Step-by-step explanation:
To find out when Ava and Kelly will be 3/4 miles apart, we can set up an equation.
[tex]d = 8t-6t=2t[/tex]
t is the time in hours and d is the distance between the two girls in miles. Kelly runs at 8 miles/hour (represented by 8t) and Ava runs at 6 miles/hour (represented by 6t), and the distance between them can be calculated by subtracting Ava's distance from Kelly's distance.
To find out when they will be 3/4 miles apart, set d to 3/4 and solve for t.
[tex]\frac{3}{4} =2t\\\frac{3}{8}=t[/tex]
So, they will 3/4 miles apart after 3/8 hours.
Which function has only one x-intercept at (-6, 0)?
f(x) = x(x - 6)
Of(x) = (x - 5)(x-6)
f(x) = (x + 6)(x - 6)
f(x) = (x + 6) (x + 6)
Given a = -3 and b = 4 and c = -5, evaluate -1/5 1/5 -7/5
The input (-1/5 1/5 -7/5) without specified operations and unused variables a, b, and c, make it difficult to evaluate as a standard mathematical question. There may likely be a mistake in the original question.
Explanation:Given the numbers a = -3, b = 4 and c = -5, the provided expression (-1/5 1/5 -7/5) appears to be a sequence of standalone fractions, not a standard mathematical operation or equation. To evaluate fractions, generally, we perform a calculation like addition, subtraction, multiplication, or division. However, the query lacks any specified mathematical operation to apply to these fractions. It seems there might be a mistake in the original question since the given values a, b, and c are also unused. To make it a valid mathematical question, we need to know what needs to be done with the fractions and variables given.
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Final answer:
The question appears to involve solving a quadratic equation using the quadratic formula, but there seems to be a typo in the provided figures. Nevertheless, the solution process entails substituting the given values into the quadratic formula and solving for x, which may result in two possible solutions depending on the discriminant.
Explanation:
The question involves solving a quadratic equation of the form ax² + bx + c = 0 using the quadratic formula, which is x = (-b ± √(b² - 4ac)) / (2a). Based on the provided values of a, b, and c, we would substitute these into the quadratic formula to find the solutions to the equation. It seems there may be a typo in the original question, as the given values do not match any standard form of a quadratic equation nor the matrix form of a linear system. However, I will provide a general step-by-step solution for the quadratic equation based on the format provided in the reference information.
First, calculate the discriminant using the formula √(b² - 4ac). Then, use the values of a, b, and c to evaluate the positive and negative solutions of x using the quadratic formula. For example, if a = 1, b = 0.0211, and c = -0.0211, the solutions would be found as follows:
-0.0211 ± √(0.0211)² - 4(1)(–0.0211)
2(1)
It is important to note that this structure is indicative of the process and the actual computations will differ with the correct values provided for a, b, and c.
which trinomial is the product of the expression below? (3x+2)(2x-3)
A. 6x^2-13x-6
B. 6x^2+5x-6
C. 6x^2-5x-6
D. 6x^2+13x-6
Answer:
C
Step-by-step explanation:
Expand the factors to obtain the product.
Each term in the second factor is multiplied by each term in the first factor
(3x + 2)(2x - 3)
= 3x(2x - 3) + 2(2x - 3) ← distribute both parenthesis
= 6x² - 9x + 4x - 6 ← collect like terms
= 6x² - 5x - 6 → C
Will mark BRAINLIEST! Help me!
Answer:
The answer is 5 people.
Step-by-step explanation:
.25 * 20 people surveyed = 5.