Answer:
\(x= 15\)
Step-by-step explanation:
Francisca's mistake was that when she had an equation \(5 = \frac{1}{3} x\) instead of dividing both sides by \(\frac{1}{3}\) she substracted \(\frac{1}{3}\) from both sides. So the correct way would be...
\(5 = \frac{1}{3} x\\\\(5)(3) = (\frac{1}{3} x )(3)\)
\(15 = x\)
A random number generator is set top generate integer random numbers between 0 and 9 inclusive following a uniform distribution. What is the probability of the random number generator generating a 6?
the likelihood of the arbitrary(random) number generator producing a 6 is 1/10 or 0.1.
A uniform distribution may be a likelihood distribution in which all conceivable results are similarly likely.
Within the case of an arbitrary number generator that creates numbers irregular numbers between and 9 comprehensive taking after a uniform distribution, each number has the same likelihood of being produced, which is 1/10 (or 0.1).
This implies that the likelihood of producing any particular number, such as 6, is additionally 1/10 (or 0.1).
The concept of a uniform distribution is imperative in insights and likelihood hypothesis since it permits us to demonstrate circumstances where we have no reason to accept that any specific result is more likely than any other result.
For illustration, in case we were rolling a reasonable six-sided pass on, we would anticipate each number to be similarly likely to come up.
In rundown, the uniform distribution could be a simple but imperative concept in the likelihood hypothesis, and it is regularly utilized to demonstrate circumstances where all results are similarly likely.
Within the case of an arbitrary number generator that creates numbers arbitrary numbers between and 9 comprehensive taking after a uniform distribution, each number has the same likelihood of being produced, which is 1/10 (or 0.1).
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I need help on this
Can someone please help?
Answer:
x= -9, x=9
Step-by-step explanation:
hope i helped if i did it wrong lmk i can try doing it better
Give expression: x2 - 5x + 1 evaluate if x = 7
Answer:
Step-by-step explanation: gay
Answer:
=x2−5x+1
Step-by-step explanation:
Use the given graph to determine the limit, if it exists. A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1.5, a closed point at 3, 7, and a horizontal line starting at the open point 3, 2. Find limit as x approaches three from the left of f of x..
Explanation:
The given limit notation means we're approaching x = 3 from the left side. So start at say x = 0 and approach x = 3. We don't actually get to x = 3 itself, but instead just get closer and closer. Note how y gets closer to y = 1.5
Which of the following is a characteristic of a binomial experiment?
a. The probability of success changes from trial to trial.
b. The trials are independent.
c. At least two outcomes are possible.
d. All of these answers are correct.
The characteristic of a binomial experiment is that the trials are independent. This means that the outcome of one trial does not affect the outcome of any other trial. Additionally, at least two outcomes are possible in a binomial experiment.
A binomial experiment is a statistical experiment that has the following characteristics: the experiment consists of a fixed number of trials, each trial has only two possible outcomes (success or failure), the trials are independent, the probability of success remains constant for each trial, and the outcome of one trial does not affect the outcome of any other trial.
The characteristic that the probability of success remains constant is known as the "fixed probability" or "fixed success rate" characteristic. This means that the probability of success is the same for each trial and does not change based on the outcome of any previous trial. This is an important characteristic of a binomial experiment, as it allows for the calculation of probabilities using simple formulas.
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a college bookstore makes an order to replenish its stock of three different types of paper: college rule line paper, legal rule line paper, and graph paper. in addition, the paper is purchased bound as either spiral notebooks or paper pads. the table below shows the store's order. bookstore order of different types of paper college rule legal rule graph spiral notebooks 175 175175 60 6060 75 7575 paper pads 90 9090 110 110110 125 125125 if a graph paper item from the order is selected at random, what is the percent probability that the item is bound as a paper pad? (ignore the % %percent symbol when entering your answer. for example, if the answer is 12.4 % 12.4, point, 4, percent, enter 12.4 12.412, point, 4.)
The percent probability that the item is bound as a paper pad is 68%.
The probability that a graph paper item selected at random is bound as a paper pad can be found as follows:First, the total number of graph paper items should be determined.
There are 60 graph spiral notebooks and 125 graph paper pads, for a total of 60 + 125 = 185 graph paper items.
Next, the number of graph paper items that are bound as paper pads should be determined.
There are 125 graph paper pads, so the probability of selecting a graph paper item that is bound as a paper pad is:125 / 185 = 0.68 (rounded to two decimal places)
Therefore, the percent probability that the item is bound as a paper pad is 68%.
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“The amount y (in cups) of flour is proportional to the number x of eggs in a recipe. the recipe calls for every two eggs. interpret the slope.”
Answer:
A. y=3/2x
B. y=3/2x
C. 18
i did this with my sister
Answer:
this is kind of confusing, i'll edit my answer. how many cups of flour for every 2 eggs?
Step-by-step explanation:
3. Pilihan ganda30 detik1 ptQ. How does the arrival of George Murchison change the mood of the scene?George's arrival changes the mood because he doesn't take part in the danceGeorge's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African pastGeorge's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their houseGeorge's arrival changes the mood because he had a gun
Option B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past
In Act 2 of A Raisin in the Sun, George Murchison's arrival changes the mood of the scene as he complains that Beneatha is giving them a lecture on their African past. George's comments create tension and conflict among the characters, particularly with Beneatha, who is exploring her African heritage. His attitude towards Beneatha's interest in her roots is dismissive and condescending, which generates discomfort and disagreement among the characters. George's arrival highlights the cultural differences between him and the Younger family and demonstrates the generational and ideological divides within the African American community. Thus, his presence is a catalyst for revealing deeper tensions and conflicts within the play.
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Complete question:
How does the arrival of George Murchison change the mood of the scene?
A) George's arrival changes the mood because he doesn't take part in the dance
B) George's arrival changes the mood because he complains that Beneatha is giving them a lecture on their African past
C) George's arrival changes the mood because he was rich, and they didn't like that a rich white person was in their house
D) George's arrival changes the mood because he had a gun
what is 64 = 4e
what is 3x =102
what is t + 28 =51
what is r - 10 = 30
what is p - 11 = 39
what is 61 = 28 + n
what is 95 = 5k
pls help and show steps pls :)
Solving these is about doing the opposite of what's being done to the variable.
64 = 4e
In this one, you have 4 times e. To do the opposite of multiplying by 4, you need to divide by 4.
64/4 = e
16 = e
3x =102
This has 3 times x. Again, the opposite of multiplying by 3 is dividing by 3.
3x = 102
x = 102/3 = 34
t + 28 =51
Here you have 28 added to t. The opposite of adding is subtracting, so subtract 28 from both sides.
t + 28 = 51
t = 51 - 28 = 23
r - 10 = 30
Now you have 10 being subtract from r, so the opposite would be to add 10.
r - 10 = 30
r = 30 + 10 = 40
p - 11 = 39
Again, since we have "–11", we need to add 11 to both sides.
p - 11 = 39
p = 39 + 11 = 50
61 = 28 + n
If we have 28 added to n, then we need to subtract 28.
61 = 28 + n
61 - 28 = n
33 = n
95 = 5k
The opposite of multiplying by 5 is dividing by 5.
95 = 5k
95/5 = k
19 = k
So it's just seeing what's being done and doing the opposite.
i need help with this problem it says
one less than triple a number is the same as six times a number reduced by 7
15 points
Answer:
3x - 1 = 6x - 7
x = 2
Explanation and Check part below
Hope this helps :)
Step-by-step explanation:
1. To solve it, first get the variable on same side.
3x - 1 = 6x - 7
- 3x - 3x
- 1 = 3x - 7
2. Isolate the variable by doing the inverse operation which is in this case addition (adding 7).
- 1 = 3x - 7
+ 7 + 7
6 = 3x
3. Isolate variable by doing the inverse operation which is in this case division (dividing by 3).
6 = 3x
3 3
2 = x
OR
x = 2
Check:
1. Substitute x with 2 and solve.
3(2) - 1 = 6(2) - 7
6 - 1 = 12 - 7
5 = 5
True statement.
The value of k is 4 times as many as 21
Answer:
k=84
Step-by-step explanation:
k= 4 x 21
K= 84
This is self explanatory.
Given:
K = 4 TIMES 21
Which means -
K = 4*21
= 84
which is equal to 84
please help and tysm to whoever does :))
Answer:
26. 1/2
27. 1/4
28. 25
29. 20
Answer:
26) 50% or 1/2 27) 25% or 1/4 28) 25 times 29) 20 times
Step-by-step explanation:
26) A is divided in half of the pie graph, where B and C make up the other half, but you are only concerned about A, so it is half of 100%. 100% / 2 = 50%
27) B and C make up the other half of the pie chart. B is half of the half, so that means (1/2) / 2 or (1/2)*(1/2) which equals 1/4. 1/4 times 100 = 25%.
28) From question 26, you are expected to land on A 50% of the time. So 50% of 50 times is equal to 25 times. 50% of something is equal to 1/2 of something, so you divide 50/2 or multiply 50 * (1/2)
29) From question 27 B and C make up the other half of the pie chart. If B is 1/2 of 1/2, so is C, meaning that you have an equal chance of landing C as you have a chance of landing on B - 25% or 1/4. If you spin 300 times, you calculate 25% or 1/4 of 300. To do that you either multiply 300* (1/4) or do 300 / 4.
On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0). Which is true regarding the graphed function f(x)? f of 0 = 3 f of 5 = negative 1 f of 3 = 2 f of 2 = negative 2
Answer:
f of 5 equals negative 1
Step-by-step explanation:
equation- f(x) = -x + 4
f(5) = -5 + 4
f(5) = -1
Answer:
f(5)=-1
Step-by-step explanation:
Complete the folllowing two column proof
The two column proof is written as follows
Statement Reason
line LQ || Line NP given
< Q is congruent to < N Alternate interior angles
< L is congruent to < P Alternate interior angles
< LMQ is congruent to < PMN Vertical angle theorem
Δ LMQ similar Δ PMN Definition of similar triangles
What is similar triangles?Similar triangles are triangles that have the same shape but may differ in size. In other words, they have the same angles but their sides may be of different lengths.
If two triangles are similar, it means that their corresponding angles are equal, and their corresponding sides are in proportion to each other.
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Solve for the variable. Round to 3 decimal places
9
.Oh
x
\(\cos(40^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{6}}\implies 6\cos(40^o )=x\implies 4.596\approx x\)
Make sure your calculator is in Degree mode.
\(\sf 13+14\times 11\)
Answer:
167
Step-by-step explanation:
By BODMAS rule,
13 + 14 x 11
= 13 + ( 14 x 11 )
= 13 + 154
= 167
Note : -
B - Brackets
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
geniuses/aces/trusted helpers help me plz!
What is the slope of the line represented by the equation 2x+3y= –12 ?
Answer:
\(\boxed{m} = - \frac{2}{3} \)
Step-by-step explanation:
\(in \: other \: to \: get \: the \: slope \: of : \\ 2x+3y= –12 \\ the \: equation \: needs \: to \: be \: in \: the \: form : \\ y = mx + c \\ \\ where \: m \: is \: the \: slope \\ hence : \\ 2x + 3y = - 12 \\ 3y = - 2x - 12 \\ y = - \frac{ 2}{3} x - 4 \\ therefore \: the \: slope \: \boxed{m} = - \frac{2}{3} \)
♨Rage♨
If f(x) = 2x +3, what is f(-3)? Show work.
A)-3/
B) -4
C) -5
D-6
Answer:
f(-3) = -3
Step-by-step explanation:
f(x) = 2x +3
Let x = -3
f(-3) = 2*-3 +3
= -6+3
= -3
Answer:
-3
Step-by-step explanation:
1. Subsitute x for -3
2. multiply 2(-3) = -6
3. add -6 +3
4. f(-3) is -3
Write the next three terms of the arithmetic sequence.
First term: 2
Common difference: 11
Step-by-step explanation:
in an arithmetic sequence any new term is created by adding a defined constant to the previous term.
a1 = 2
the defined constant to be added = common difference = a2 - a1 = 11
so,
a2 = 2 + 11 = 13
a3 = a2 + 11 = a1 + 2×11 = 2 + 22 = 24
a4 = a3 + 11 = a1 + 3×11 = 2 + 33 = 35
What is the length of CG helpp
Step-by-step explanation:
correct answer of this question is option C 19
please mark my answer as brain list and also vote me
Answer:
C
Step-by-step explanation:
i had a test with this question
3 Consider the line y= 3/4x+3. Find the equation of the line that is perpendicular to this line and passes through the point (-8, 6).
ANSWER
\(y\text{ = -}\frac{4}{6}x\text{ - }\frac{14}{3}\)EXPLANATION
We have to find the equation of the line perpendicular to the given line:
\(y\text{ = }\frac{3}{4}x\text{ + 3}\)and passes through the point (-8, 6)
A line perpendicular to another line has a slope that is the negative inverse of the line.
The slope of the given line is 3/4, so the slope of the line we are looking for is -4/3
Now, we use the point slope method to find the equation:
y - y1 = m(x - x1)
where m = slope
(x1, y1) = point the line passes through
So, we have:
\(\begin{gathered} y\text{ - 6 = -}\frac{4}{3}(x\text{ - (-8))} \\ y\text{ - 6 = -}\frac{4}{3}(x\text{ + 8)} \\ y\text{ - 6 = -}\frac{4}{3}x\text{ + (-}\frac{4}{3}\cdot8) \\ y\text{ - 6 = -}\frac{4}{3}x\text{ - }\frac{32}{3} \\ \Rightarrow\text{ y = -}\frac{4}{3}x\text{ - }\frac{32}{3}\text{ + 6} \\ y\text{ = -}\frac{4}{6}x\text{ - }\frac{14}{3} \end{gathered}\)That is the equation of the line.
Jack ee 7 bue. Each bu ha 10 people on it. Which number entence can be ued to find how many people are on all the bue?
The number sentence to find how many people are on all the buses is 7 x10 = ?. (Option C)
A number sentence refers to an equation or inequality which expresses using numbers and mathematical symbols. Examples of number sentences include 32 + 57 = ? or 5 x 6 = ?. In the given situation, Jack sees 7 buses and each bus has 10 people on it. In order to determine the total number of buses on all the buses, multiplication operation is used. Multiplication, one of the four basic mathematical operations of arithmetic, refers to an operation that represents the basic idea of repeated addition of the same number. Hence, it is used to combine groups of equal sizes. As in the given case, the group of equal size i.e., the number of people on each bus is seen in 7 buses, the total number of people would be the product of two and would be represented by 7 x10 = ?.
Note: The question is incomplete. The complete question probably is: Jack sees 7 buses. Each bus has 10 people on it. Which number sentence can be used to find how many people are on all the buses? A. 7 + 10 = ? B. 10 – 7 = ? C. 7 x10 = ? D. 10 ÷ 7 = ?
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What are the slope and the y-intercept of the linear function that is represented by the table?
х
3
4
у
1
30
NIE
에 <
2
23
15
1
4
13
30
CON
3
5
1
The slope is
2
5
and the y-intercept is -
1
2
The slope is, and the y-intercept is 5.
Answer:
Slope is -2/5 and y-intercept is -1/3
Step-by-step explanation:
To get the slope, we pick any two points and apply the slope formula
The slope formula is;
m = (y2-y1)/(x2-x1)
To get the slope, we select any two points
That will be;
(-3/4, -1/30) and (1/4,-13/30)
Substituting these in the slope formula, we have:
m = (-13/30 + 1/30)/(1/4 + 3/4)
m = 12/30 = -2/5
Generally, the equation of a straight line is;
y = mx + b
m is slope and b is the y-intercept
We already have the slope, to get the y-intercept, we select any of the points
-3/5 = -2/5(2/3) + b
= -3/5 + 4/15 = b
b = (-9 + 4)/15 = -5/15 = -1/3
Slope is -2/5 and y-intercept is -1/3
Answer:
A
Step-by-step explanation:
The slope is -2/5, and the y-intercept is -1/3.
what discovery first connected mathematics to the physical world?
This question is vague and has no true answer. You could consider a caveman counting rocks, Pythagoras applying his theorem, or Newton impacting physics.
Write an equation in slope-intercept form of the line that is perpendicular to the one given and passes through the given point. (4,8); y=-2x - 4
answer:
step by step explanation:
(4,8); y = 2x — 4 = ?
TO FIND THE ANSWER TO YOUR QUESTION:Select the expression that can be used to find the volume of this rectangular prism.
A.
(
6
×
3
)
+
15
=
33
i
n
.
3
B.
(
3
×
15
)
+
6
=
51
i
n
.
3
C.
(
3
×
6
)
+
(
3
×
15
)
=
810
i
n
.
3
D.
(
3
×
6
)
×
15
=
270
i
n
.
3
The correct expression to find the volume of a rectangular prism is D. (3 × 6) × 15 = 270 in.3.
What is expression?Expression is a word, phrase, or gesture that conveys an idea, thought, or feeling. It is an outward representation of an emotion, attitude, or opinion. Expressions can be verbal, physical, or written. They can also take the form of art, music, or dance. Expression is used to communicate and express emotions, thoughts, and ideas. It can be a powerful tool to create a connection with others and build relationships.
The correct expression to find the volume of a rectangular prism is D. (3 × 6) × 15 = 270 in.3. This expression involves multiplying the length, width, and height of the rectangular prism in order to calculate the total volume. In this case, the length is 3, the width is 6, and the height is 15. If these values are multiplied together, the result is 270 in.3, which is the total volume of the rectangular prism.
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4. Brian is buying some tickets for his family
to go to a concert. The normal ticket
price for one person is £120. There are
discounts for booking early.
Adult tickets have 30% off the normal
price.
A child's ticket has 60% off the normal
price.
Brian buys two adult tickets
and three child's tickets with
the discount.
Work out how much he pays.
Answer:
312
Step-by-step explanation:
120x0.4=48
48x3=144
120x0.7=84
84x2=168
168+144=312
The graph shows a line and two similar triangles which expression finds the equation of the line?
Answer:c
Step-by-step explanation:
Answer:
hello, sorry i'm late, your answer would be: option b, y/x = 2/3
Step-by-step explanation:
proof:
How is solving an inequality different from solving an equation?
Answer:
Hope this helps
Step-by-step explanation:
Solving an inequality is using things like <, and >. Equations don’t use things like those
Answer:
Solving an inequality is different from solving an equation because an inequality involves a range of possible solutions, while an equation involves finding a specific value for the variable that makes the equation true.
When solving an equation, the goal is to find the value of the variable that makes the equation true. This is typically done by performing a series of operations on both sides of the equation to isolate the variable on one side of the equation. The solution is a specific number that satisfies the equation.
On the other hand, when solving an inequality, the goal is to find the range of values that make the inequality true. This is typically done by performing a series of operations on both sides of the inequality to isolate the variable on one side of the inequality. However, the solution to an inequality is a range of values, rather than a single value.
For example, if you were solving the equation x + 3 = 7, you would find that the solution is x = 4. This is a specific value that makes the equation true.
If you were solving the inequality x + 3 < 7, you would find that the solution is x < 4. This is a range of values that makes the inequality true, including all values less than 4.