Use the two bar graphs to answer the following experimental compound events. What is the
experimental probability of rolling a 2 and spinning 2?
- 6/625
- 4/250
- 24/2500
- 6/50
Answer:
24 / 2500
Step-by-step explanation:
Experimental probability = (number of successes / total number of trials)
For rolling :
Total number of trials = ( 10 + 4 + 8 + 11 + 8 + 9) = 50
Number of times 2 is rolled = 4
P(rolling a 2) = 4 /50
For spinning :
Total number of trials = (8 + 6 + 9 + 11 + 9 + 7) = 50
Number of times 2 is spunned = 6
P(rolling a 2) = 6 /50
Hence,
4 / 50 * 6/50 = 24 / 2500
Describe the difference between −3^4 and (−3)^4.
for (-3)^4, if there were more numbers in the parentheses, the exponent would apply to all numbers in the parentheses
for -3^4, the exponent would only apply the -3.
hope this helps!
Answer:
-3^4=-81 and (-3)^4=81
Step-by-step explanation:
Following the rules of PEMDAS you will do exponents before multiplcation.
A negative sign means that you are multiplying by -1.
-3^4 means you will raise 3 to the 4th power and then multiply by -1. So you will do 3^4 first which is 81 and then multiply by -1. Making the answer -81.
When you put parentheses around the -3 it means you are raising the entire -3 to the power of 4 instead of only the 3. So it will be -3*-3*-3*-3 which is 81.
✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨✨
Answer:
what
Step-by-step explanation:
A greengrocer normally sells 20 carrots for £2.80. In a sale, the cost of the carrots is reduced by 30%. Work out how much 180 carrots cost in the sale.
The probability is 6/70.
What is probability in the sale chance-Probability is concerning about numerical description is how likely is an event is occur or how likely it is true.
Sol-
way will be selecting 84 out of eight since representative so 84 which is equal to at 70. And we need that we since we are things. There are two things representing the regions, so the four selected sales representatives are from only two off the regions. So if we select to sales representative from the two regions while we select de o sales representative from the other two regions, so four is it to selected from the four and to select from the two region and to select from two regions on day zero selected from the two regions and they're selected from the two regions. So is equal to four factorial over two factorial, two factorial times two factorial over to Victoria, zero factorial times too times Sorry, that was two factorial over to factory a factory times two factorial zero factorial two factorial which is equal to six for the
Thus,
probability is 6/70 which is equal toe open toe eight 57.
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The greengrocer normally sells 20 carrots for £2.80. The new cost of 1 carrot is £0.098.
What is Original cost?Original cost is the price of an item or service before any discounts, taxes, or other adjustments.
This means that the cost of 1 carrot is £2.80/20 = £0.14.
When the cost of the carrots is reduced by 30%, the new cost of 1 carrot is £0.14 × (100%-30%) = £0.098.
Therefore, the cost of 180 carrots in the sale is £0.098 × 180 = £17.64.
The discount of 30% reduces the cost of 1 carrot from £0.14 to £0.098, and this reduces the cost of 180 carrots from £25.2 to £17.64.
This is because a 30% discount means that the cost of the item is reduced by 30% of the original cost.
As the original cost of 1 carrot is £0.14, the new cost of 1 carrot is £0.14 × (100%-30%) = £0.098.
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What is the probability the computer will select the point in the shaded region ?
Answer:
1/2 is the answer.................
Answer:
C. 2/3
Step-by-step explanation:
In a two-digit number, the first digit is 5 less than the second digit. The number itself is three times the sum of its digits. What is the number? (I WILL MARK BRAINLIEST)
Answer:
27
Step-by-step explanation:
taking the second digit as 'x'
as per question the first digit is 'x-5'
therefore putting this in the one, tens, hundreds form
u multiply the first digit by 10 and the second by 1
therefore,
10(x-5) + 1(x)
now you have that the 2-digit number is equal to twice the sum of the digits,
so
10(x-5) + 1(x) = 3 [ (x-5) + (x) ]
on solving
10x - 50 + x = 3 (2x - 5)
11x -50 = 6x - 15
taking 6x on the right and -50 on the left
11x - 6x = 50 - 15
5x = 35
therefore x = 7
now substituting this value we get that the number is
27
find the missing side. round to the nearest tenth
The required angle is 24.5°.
Given is a right triangle with perpendicular side 16 and the base = 35 we need to find an acute angle in it,
To find the acute angle in a right triangle given the lengths of the perpendicular side and the base, you can use the tangent function.
The tangent of an angle is defined as the ratio of the length of the perpendicular side to the length of the base side.
In this case, the perpendicular side is 16 and the base is 35.
Let's denote the acute angle as θ.
Using the tangent function, we can set up the equation:
tan(θ) = perpendicular side / base
tan(θ) = 16 / 35
To find the value of θ, we can take the inverse tangent of both sides:
θ = tan⁻¹(16 / 35)
θ = 24.5°
Hence the required angle is 24.5°.
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Questions 10,11 and 12 please!
Answer:
Step-by-step explanation: I only know for number 12 sorry but here railroad tracks, the edges of sidewalks, marking on the streets, zebra crossing on the roads, the surface of pineapple and strawberry fruit, staircase and railings, etc.
May someone help with this? Solve using the order of operations.
9/6 - 4(2/3 - 7/6)²
By algebraic handling, the expression 9 / 6 - 4 · (2 / 3 - 7 / 6)² is equivalent to the expression 1 / 2.
How to simplify an algebraic expression that involves power and rational expressions
In this problem we must simplify an expressions involving powers and rational numbers by algebra definitions and theorems:
9 / 6 - 4 · (2 / 3 - 7 / 6)² Given
9 / 6 - 4 · [[(2 · 6) - (3 · 7)] / (3 · 6)]² Subtraction of fractions with different denominators
9 / 6 - 4 · [(12 - 21) / 18]² Definition of multiplication
9 / 6 - 4 · (- 9 / 18)² Definition of subtraction
3 / 2 - 4 · (1 / 2)² Definition of simplification
3 / 2 - 4 · (1 / 4) Power properties
3 / 2 - 1 Definition of division / Existence of multiplicative inverse
3 / 2 - 2 / 2 Definition of division / Existence of multiplicative inverse
1 / 2 Subtraction of fractions with same denominator / Result
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why is angle 3 congruent to angle
explain why
Answer:
Angle 3 is = to angle 2 because:
Angle 3 & angle 7 are corresponding angles, meaning they have the same measure.
Angle 7 & angle 2 are vertical angles, meaning they also have the same measure.
Therefore, if angle 7 is equal to angle 3, then angle 2 must also be equal to angle 3.
Hope this helps! Have a great day!
One-fourth the distance between twocities is 100 miles less than two-thirdsthe distance between the cities. Whichequation expresses this situation?Ad-100 = d.B. 1d=-100cd =şd+100D. Id--d=100
Let d be the distance
"One-fourth the distance between two cities is 100 miles less than two-thirds
the distance between the cities" can be written mathematically as;
\(\frac{1}{4}d\text{ =}\frac{2}{3}d\text{ -100}\)Which example below describes Newton's Third Law:
The best description for Newton's third law is: When a passenger stepped from a boat to the shore, the boat moved away from the shore.
What is Newton's third law of motion?Newton's third law of motion states that "For every action, there is an equal and opposite reaction". In other words, if an object A exerts a force on object B, then object B will exert an equal and opposite force back on object A. This is the underlying principle behind the concept of action-reaction pairs.
For example, if you push a wall, the wall will push back on you with an equal force, but in the opposite direction. The law applies to all types of forces, including gravitational, electromagnetic, and strong and weak nuclear forces.
It's important to note that the third law only applies to interactions between two objects. If a third object is involved, the forces will not necessarily be equal and opposite.
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What is the product of 2x + 3 and 4x? – 5x +62
Answer:
8x² + 7x+62
Step-by-step explanation:
(2x +3)(4x) =8x² + 12x
8x²+ 12x - 5x + 62= 8x²+7x+62
There are 7 teachers going to a 5 day math conference if registration is $225 for each teacher how much do the teachers pay
Answer:
1,575 dollars
Step-by-step explanation:
7 multiple 225 is 1,575
Your taxable wages for Social Security purposes are $1100. How much is your Social Security tax if you have previous taxable wages of $102,000?
If you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
To calculate the Social Security tax, we need to know the tax rate for Social Security and the taxable wages. Let's assume the Social Security tax rate is 6.2% for both the employee and the employer.
Given that your taxable wages for Social Security purposes are $1,100, and your previous taxable wages are $102,000, we can determine the Social Security tax amount.
First, we need to calculate the Social Security tax on the previous taxable wages of $102,000. Multiply $102,000 by 6.2% (0.062) to find the Social Security tax for that amount:
Social Security tax = $102,000 x 0.062 = $6,324
Next, we calculate the Social Security tax on the current taxable wages of $1,100. Multiply $1,100 by 6.2% to find the tax amount:
Social Security tax = $1,100 x 0.062 = $68.20
Therefore, if you have previous taxable wages of $102,000 and your current taxable wages are $1,100, your Social Security tax would be $6,324 for the previous wages and $68.20 for the current wages.
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For each of the following system definitions, use a counter-example to show that the system is not linear. Justify your answers. a) a(t)→y(t)=∣a(t−1)∣
The y3(t) ≠ y1(t) + y2(t), the system is not linear.
To show that the system is not linear, we need to check if it follows the properties of linearity: superposition and homogeneity.
A counter-example can help demonstrate that these properties do not hold for the given system.
System definition: y(t) = |a(t-1)|
Let's consider two arbitrary inputs a1(t) and a2(t) with their respective outputs y1(t) and y2(t):
1. y1(t) = |a1(t-1)|
2. y2(t) = |a2(t-1)|
Now let's apply the superposition principle:
a3(t) = a1(t) + a2(t)
Let's find the output y3(t) for a3(t) and check if it's equal to y1(t) + y2(t):
y3(t) = |a3(t-1)| = |a1(t-1) + a2(t-1)|
Now let's check if y3(t) = y1(t) + y2(t):
y1(t) + y2(t) = |a1(t-1)| + |a2(t-1)|
Since we cannot guarantee that |a1(t-1) + a2(t-1)| = |a1(t-1)| + |a2(t-1)| for all possible inputs a1(t) and a2(t), we can conclude that the given system is not linear.
Here is a counter-example:
Let a1(t) = 1 for all t and a2(t) = -1 for all t.
Then, a3(t) = a1(t) + a2(t) = 0 for all t.
The outputs will be:
1. y1(t) = |a1(t-1)| = |1|
2. y2(t) = |a2(t-1)| = |-1|
3. y3(t) = |a3(t-1)| = |0|
Now, let's compare y3(t) with y1(t) + y2(t):
y3(t) = 0, but y1(t) + y2(t) = 1 + 1 = 2.
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50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
9.3
Step-by-step explanation:
Answer:
9.3
Step-by-step explanation:
\(A^{2} +B^{2} =C^{2}\)
\(6.1^{2} +7^{2} =C^{2}\)
\(37.21+49=C^{2}\)
\(86.21=C^2\)
\(9.28493403315=C\)
\(9.3=C\)
For each diagram, choose the correct pair of congruent inscribed angles.
Answer:
1. ∧A and ∧B
2. ∧A and ∧C
3. ∧E and ∧O
Enter the equivalent distance in km in the box.
1 km = 1000 m
1 m = 100 cm
35,000 cm =
km
Answer:
0.350 km
Step-by-step explanation:
Hi there !
35000 cm = 35000/100 m = 350 m
350 m = 350/1000 km = 0.350 km
Good luck !
Nvm I found the answer
Fill in the following blank so that the resulting statement is true.
Points: 0 of 1
In order to construct a Venn diagram for a survey, first enter the cardinality of the
to obtain subsequent cardinalities.
Save
region. Then use
In order to construct a Venn diagram for a survey, first enter the cardinality of the universal set to obtain subsequent cardinalities.
How to explain the informationThe universal set is the set of all possible outcomes, and the cardinality of a set is the number of elements in the set. Once you have the cardinality of the universal set, you can use it to calculate the cardinality of any other set in the survey.
For example, if the universal set has a cardinality of 100, and the survey asks people whether they like dogs or cats, you can calculate the number of people who like dogs by subtracting the number of people who like cats from the total number of people surveyed.
In order to construct a Venn diagram, you will need to draw two or more circles, each representing a set in the survey. The circles should be overlapping to represent the sets that have members in common.
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In order to construct a Venn diagram for a survey, first enter the cardinality of the to obtain subsequent cardinalities region. Then use
50 Points! Multiple choice geometry question. Photo attached. Thank you!
The value of angle BCD is determined as 108⁰.
option B is the correct answer.
What is the value of angle BCD?The value of angle BCD is calculated by applying intersecting chord theorem, which states that the angle at tangent is half of the arc angle of the two intersecting chords.
Also this theory states that arc angles of intersecting secants at the center of the circle is equal to the angle formed at the center of the circle by the two intersecting chords.
arc AB = m∠ACB
m∠ACB = 72⁰
The value of angle BCD is calculated as follows;
angle BCD = 180 - 72⁰ (sum of angles in a circle)
angle BCD = 108⁰
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A robot can complete 3 tasks in 2/5 hour. Each task takes the same amount of time.how long does it take the robot to completely one task?how many tasks can the robot complete in one hour
Answer:
part 1) It takes 2/15 hour to complete 1 task
Part 2) The robot can only complete 7 tasks in an hour (the remaining doens’t count)
Step-by-step explanation:
So first divide to find unit rate
2/5 ÷ 3
2/5 * 1/3
2/15
For part 2
Just put the unit rate in an equation
2/15x=1
Where 1 is the single hour and x is the task
solve
you’ll get 7 1/2
Due to only requesting for tasks in an Hour
its only 7 task
PLEASE HELP ME I SUCK AT MATH !!!!!
4. An investment loses 25% of its value. What percent must it increase to recover the loss?
Answer: 33%
Step-by-step explanation: The math of percentages shows that as losses get larger, the return necessary to recover to break-even increases at a much faster rate. A loss of 10 percent necessitates an 11 percent gain to recover. Increase that loss to 25 percent and it takes a 33 percent gain to get back to break-even.
ASSIGNMENT MATHS 6). À train which is moving with a uniform acrelaation is observed to take 20 and 30 seconds to travel successive 400m. How much further will it travel before coming to rest if acceleration remains uniform
Answer:
12000
Step-by-step explanation:
Show that if f is a function from S to T, where S and T are finite sets with |S| > |T|, then there are elements s1 and s2 in S such that f(s1) = f(s2), or in other words, f is not one-to-one.
Hence proved f is not one-to-one.
What do you mean by function?A function is a mathematical concept that assigns a unique output value for each input value.
In mathematical notation, a function is usually expressed as "f(x)" where "x" is the input and "f(x)" is the corresponding output. For example, a function could be defined as f(x) = x^2, which means that for any value of x, the function will calculate and return the square of that value.
Functions play a central role in mathematics and are used to model real-world phenomena and to study the relationships between variables. They are also used in computer programming to perform specific tasks, such as converting temperatures from Celsius to Fahrenheit or calculating the square root of a number.
Suppose that f is a function from S to T, where |S| > |T|. This means that there are more elements in S than there are in T.
Since f maps elements of S to elements of T, we can think of f as pairing elements of S with elements of T. However, since |S| > |T|, there will be at least two elements of S that are paired with the same element of T, and these two elements are s1 and s2.
Therefore, f is not one-to-one, as f(s1) = f(s2), meaning that two different elements of S are mapped to the same element of T.
This shows that if f is a function from S to T, where |S| > |T|, then there must exist elements s1 and s2 in S such that f(s1) = f(s2), and hence f is not one-to-one.
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Van purchased a DVD player on sale. The original selling price was
$171.50. The sale price was $145.12. What is the first step in finding the percent markdown? Find
the percent markdown.
Answer:
the first step is find the amount of money you saved
Step-by-step explanation:
171.50-145.12=26.38
26.38 / 171.5 = .154
15.4%
Referring to the figure, the two rectangles shown have
equal areas. Find the value of x.
Answer:
x = 2
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × breadth
given the rectangles have equal areas then equating the two areas gives
4x × 9 = 4(6x + 6) , that is
36x = 24x + 24 ( subtract 24x from both sides )
12x = 24 ( divide both sides by 12 )
x = 2
Select all the situations that can be modeled by the expression-80÷4. (multiple answers may be selected)
A. Brady owed his mother $80. He repaid her $4. How much does her still owe?
B. The football team lost 80 yards in four plays. How many yards did they lose per play?
C. Sam owed $80 to four friends. If he owes the same amount to each friend, how much does
he owe each friend?
D. Taya received $80 for her birthday. She spent the same amount at four different
places. How much did she spend each time?
E. Amanda withdrew $80 from her account each day for 4 days. How much money did she
withdraw in all?
Answer:
Answer: C and D can be modeled using our expression
Step-by-step explanation:
The expression 80 / 4 is saying that you're splitting 80 into 4 equal parts.
80 / 4 = 20
Each part being 20.
Thus, you're looking for the situations where you're "splitting" 80 into 4 different things, all worth 20.
Option A.
Brady owed his mother 80, but repaid her 4. Brady is reducing his debt to his mom by 4. A good expression would be 80 - 4. You're not splitting up the debt, you're subtracting from it. Our expression doesn't fit.
Option B.
In total, the football team lost 80 yards across 4 plays. Our expression could be used here, but that would be assuming that they lost the same amount of yards (20) each play. This is unlikely, so we can't use our expression here. (E.g. they could lose 10, then 30, then 5, then 35 -- adding up to 80)
Option C.
Sam owed $80 to 4 friends, or, his $80 debt is split into 4 parts. Since he owes the same amount to each friend (all 4 parts are equal), we CAN use our expression here to find out how much he owed each friend.
Option D.
Taya received a total of 80, and divided it into 4 parts (one for each place she spent money at). Since we know she spent the same amount at each place (all parts are equal), our expression CAN be used here.
Option E.
Amanda withdrew $80 each day for 4 days. To find out the total, we'd have to multiply 80 by 4. $80 for each withdrawal, times four, as she did it 4 times. We are not splitting $80 up into parts, so our expression can't be used here.
Answer: C and D can be modeled using our expression
Answer:
There are three answer choices and they are , B,C, and E.
Step-by-step explanation:
I took the test.
solve the system of linear equations by substitution x=17-4y y=x-2
9514 1404 393
Answer:
(x, y) = (5, 3)
Step-by-step explanation:
We can use the second equation to substitute for y in the first.
x = 17 -4(x -2)
5x = 25 . . . . . . . . eliminate parentheses, add 4x
x = 5
y = 5 -2 = 3
The solution is (x, y) = (5, 3).