In a probability experiment, Karen flipped a coin 65 times. The coin landed on heads 36 times. What percentage of the coin flips resulted in tails? Round to the nearest percent.
Answer:23.4% Is the percentage that resulted in tails.
Answer:
23.4%
Step-by-step explanation:
multiply
your answer should be in a monomial standard form
(7h^3)(3h^7)
Answer:
21 h^10
Step-by-step explanation:
(7h^3)(3h^7)
Lets multiply
7*3 h^3 h^7
When the bases are the same , we add the exponents (x^a * x^b) = x ^ (a+b)
21 h^(3+7)
21 h^10
[tex]Use\ a^n\cdot a^m=a^{n+m}\\\\(7h^3)(3h^7)=(7)(h^3)(3)(h^7)=(7)(3)(h^3)(h^7)=21h^{3+7}=\boxed{21h^{10}}[/tex]
some help would be good
[tex]\frac{\frac{x}{4}+\frac{1}{8}}{\frac{x^2}{4}}=\frac{\frac{2x}{8}+\frac{1}{8}}{\frac{x^2}{4}}=\frac{\frac{2x+1}{8}}{\frac{x^2}{4}}=\frac{2x+1}{8}:\frac{x^2}{4}=\frac{2x+1}{8}\cdot\frac{4}{x^2}=\frac{2x+1}{2x^2}[/tex]
3. In the University building, Sara's office is mapped on the coordinate plane at (10,–7) and the cafeteria is at (5,5). Find the distance between them.
Answer:
13 units
Step-by-step explanation:
Given points (10,–7) and (5,5)
To find distance between points we apply distance formula
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
(x1,y1) is (10,–7) and (x2,y2) is (5,5)
Plug in the values in the formula
[tex]D = \sqrt{(5-(-7))^2+(5-10)^2}[/tex]
[tex]D = \sqrt{(12)^2+(-5)^2}[/tex]
[tex]D = \sqrt{(144+25)}[/tex]
[tex]D = \sqrt{169}[/tex]
D= 13
Alisa uses 3/4 of a gallon of paint to paint her room better uses for 50 gallon more than Alecia to paint her room how many gallons of paint do they use together
Answer:
51.5 gallons.
Step-by-step explanation:
Given that amount of gallons of paint used by Alisa [tex]=\frac{3}{4}[/tex]
Given that amount of gallons of paint used by Better [tex]=50+\frac{3}{4}[/tex]
Now we need to find about how many gallons of paint do they use together. To find that we just need to amount of gallons used by both.
[tex]\frac{3}{4}+50+\frac{3}{4}[/tex]
[tex]=\frac{3}{4}+\frac{3}{4}+50[/tex]
[tex]=\frac{6}{4}+50[/tex]
[tex]=1.5+50[/tex]
[tex]=51.5[/tex]
Hence final answer is 51.5 gallons.
A grocer can buy strawberries for $1.38 per pound. write an equation relating c, the cost, and p, the pounds of strawberries.
Answer:
1.38p=C
Step-by-step explanation:
each pound is $1.38 and pounds is p they have to equal to C, the total.
[tex] \frac{10(x - y) - 4(1 - x)}{3} = y[/tex]
[tex]7 + x - \frac{x - 3y}{4} = 2x - \frac{y + 5}{3} [/tex]
so first off, let's simplify both equations, starting off by multiplying both sides by the LCD of all fractions, to do away with the denominators.
[tex]\bf \cfrac{10(x-y)-4(1-x)}{3}=y\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{10(x-y)-4(1-x)=3y} \\\\\\ 10x-10y-4+4x=3y\implies \boxed{14x-13y=4} \\\\[-0.35em] ~\dotfill\\\\ 7+x-\cfrac{x-3y}{4}=2x-\cfrac{y+5}{3}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{12}}{12\left( 7+x-\cfrac{x-3y}{4} \right)=12\left( 2x-\cfrac{y+5}{3} \right)} \\\\\\ 84+12x-3(x-3y)=24x-4(y+5) \\\\\\ 84+12x-3x+9y=24x-4y-20\implies \boxed{-15x+13y=-124}[/tex]
now, let's do some elimination on those two simplified equations.
[tex]\bf \begin{array}{cllcl} 14x&-13y&=&4\\ -15x&+13y&=&-124\\\cline{1-4} -x&&=&-120 \end{array}~\hfill x=\cfrac{-120}{-1}\implies \blacktriangleright x=120 \blacktriangleleft \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{14(120)-13y=4}\implies 1680-13y=4\implies 1680-4=13y \\\\\\ 1676=13y\implies \blacktriangleright \cfrac{1676}{13}=y \blacktriangleleft \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \left( 120~,~\frac{1676}{13} \right)~\hfill[/tex]
Solve the system of equations by the substitution method. Then use the solution to evaluate the expression 2x(−3+y).
6x+2y+1=13+10y−x
5x=y+26−2x
The value of the expression is....
[tex]\left\{\begin{array}{ccc}6x+2y+1=13+10y-x\\5x=y+26-2x\end{array}\right\\\\\left\{\begin{array}{ccc}6x+x+2y-10y=13-1\\5x+2x-26=y\end{array}\right\\\left\{\begin{array}{ccc}7x-8y=12&(**)\\y=7x-26&(*)\end{array}\right\\\\\text{substitute}\ (*)\ \text{to}\ (**)\\\\7x-8(7x-26)=12\\7x-(8)(7x)-(8)(-26)=12\\7x-56x+208=12\\-49x=12-208\\-49x=-196\qquad\text{divide both sides by (-49)}\\\boxed{x=4}\\\\\text{put the value of x to}\ (*)\\\\y=7(4)-26\\y=28-26\\\boxed{y=2}\\\\\boxed{x=4\ and\ y=2}[/tex]
[tex]\text{Put the values of x and y to the expression}\ 2x(-3+y):\\\\2(4)(-3+2)=8(-1)=-8\\\\Answer:\ \boxed{\text{The valuie of the expression is -8}}[/tex]
(5 ×5×5)×-1= simplify
Answer: -125
Step-by-step explanation:
(5*5*5)*-1
(25*5) *-1
125 * -1
-125
Answer:
-125
Step-by-step explanation:
5*5*5 = 125
125*-1 = -125
what is the absolute value of 8/9
The absolute value of 8/9 is 8/9 or |8/9| = 8/9 after using the concept of the absolute value function.
What is the number?A number is a mathematical entity that can be used to count, measure, or name things. For example, 1, 2, 56, etc. are the numbers.
It is given that:
The number is 8/9.
As we know, if x is any real number then the absolute value of the x can be written as:
|x| = x; x > 0
|x| = -x; x < 0
We have; x = 8/9
|8/9|
and 8/9 > 0
|8/9| = 8/9
Thus, the absolute value of 8/9 is 8/9 or |8/9| = 8/9 after using the concept of the absolute value function.
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Find m/c
A)24
B)48
C)66
D)132
A box of light fixtures cost $43 if you had $600 and wise many boxes as you could how much money would you have left
Answer:
13 Boxes with $41 left over
Step-by-step explanation:
600/43 = 13.6
43 x 13 = 559
600 - 559 = 41
Eli's Electronics has 60-inch television on sale this week for $798. The television is regularly priced for $1050. By what percent did the price of the television decrease?
Answer: that would be 76% hope that helps
Step-by-step explanation:
The price of the 60-inch television decreased by 24%. This was determined by subtracting the sale price from the original price, dividing by the original price, and multiplying by 100.
Explanation:To calculate the percent decrease in the price of the television, we need to find the difference in the original price and the sale price, then divide that by the original price, and multiply by 100 to get the percentage.
Original Price: $1050
Sale Price: $798
So, the difference is $1050 - $798 = $252
The percent decrease is ($252 / $1050) * 100 = 24%. So, the price of the 60-inch television decreased by 24%.
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DIstributive property to match equivalent expression 7(-4-x)
Answer:
-28-7x
Step-by-step explanation:
You mulitply 7 by -4 to get -28 and then mulitply 7 by -x to get -7x
Mark noticed that his bus is late to school 5% of the time. He wants to design a spinner he can use to simulate the situation and determine the probability that the bus will be late three times next week. How should Mark divide his spinner to best simulate the situation?
The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces. Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.
A better way to do this is to use 20 slices instead. This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1. If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.
The second option is more practical but even then a spinner with 20 sections is still a lot. I think it might be better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.
Mark should divide the spinner in 20 equal sized sections.
What is probability?Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty.
We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it.
The more painstaking way would be to divide the spinner up into 100 pieces, and shade in 5 of those pieces.
Since 5/100 = 0.05 = 5% this means that landing on any of the 5 pieces has a 5% chance of happening.
A better way to do this is to use 20 slices instead.
This works because 5/100 reduces to 1/20 (divide top and bottom by 5). Instead of shading in 5 slices, Mark should shade in 1.
If you use a calculator, you should see that 1/20 = 0.05 = 5% as well.
The second option is more practical but even then, a spinner with 20 sections is still a lot.
It is better for Mark to pull random numbers out of a hat, or let the computer generate random numbers.
Hence he should divide the spinner in 20 equal sized sections.
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Brainliest + Points!
Any mathematicians out there?
Which statement is true of normally distributed data?
A.
Approximately 90% of data falls within 2 standard deviations (±2) of the mean.
B.
Approximately 90% of data falls within 3 standard deviations of (±3) the mean.
C.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean.
D.
Approximately 95% of data falls within 3 standard deviations (±3) of the mean.
Approximately 95% of data falls within 2 standard deviations (±2) of the mean is true of normally distributed data. Thus option C is correct.
What is normally distributed data?
Data are presented in the following figure and skew-free in a standard deviation. As one moves away from the center, the values start to taper off and the majority of values are concentrated in this area. In a standard deviation, the measurements of central tendency are identical.
Just around 95% of the information in a normal distribution should be within three standard deviations from the mean. This is in accordance with The rule that states that One standards standard of the norm contains about 68% of the observations is presented.
Therefore, option C is the correct option.
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Subtract 6 3/5-2 1/4. Simplify the answer and write as a mixed number
Parallelogram FGHI on the coordinate plane below represents the drawing of a horse trail through a local park:
Quadrilateral FGHI is shown on the coordinate plane with coordinates F at negative 6, negative 1. G at negative 1, negative 1. H at negative 2, negative 4. I negative 7, negative 4. Point A is at 3, 8 and point D is at 1, 2.
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(3, 8) and point D(1, 2), what is another point that could represent a corner of the trail?
a) (10, 8)
b)(6, 8)
c) (8, 8)
D) (13, 8)
Answer:
The correct option is D.
Step-by-step explanation:
From the given figure it is noticed that the vertices of the parallelogram are F(-6,-1), G(-1,-1), H(-2,-4) and I(-7,-4).
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane.
Distance formula
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]FI=\sqrt{(-7-(-6))^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}[/tex]
[tex]AD=\sqrt{(1-3)^2+(2-8)^2}=\sqrt{4+36}=2\sqrt{10}[/tex]
The scale factor is
[tex]\frac{AD}{FI}=\frac{2\sqrt{10}}{\sqrt{10}}=2[/tex]
Therefore the length of sides of image is twice of preimage.
The vertices A and D are image of F and I respectively.
The length of FG is
[tex]FG=\sqrt{(-1-(-6))^2+(-1-(-1))^2}=\sqrt{25}=5[/tex]
Therefore the length of AB is 10 units and length of CD is also 10 units.
The point which is on horizontal distance of 10 units from A(3,8), is B(13,8).
The point which is on horizontal distance of 10 units from D(1,2), is C(11,2).
Therefore vertices B and C are image of G and H respectively. The another corner points are (13,8) and (11,2). Option D is correct.
Answer: D) (13, 8)
:)))
Use the substitute method to solve the system of equations.
3x+y=10
y=2x
A. (-2,4)
B. (2,-4)
C. (2,4)
D. (4,2)
Answer:
C
Step-by-step explanation:
plug in y = 2x into the first equation
3x+2x = 10
5x = 10
x = 2
put it into the second equation because its easier
y = 2(2)
y = 4
(2, 4)
What is the sum or difference?
a. 5x4 + 4x4
b. 12x5y − 9x5y
A. a. 9x4 b. 3x5y
B. a. 20x16 b. −108x25y2
C. a. 9x8 b. 3x10y
D. a. 9x16 b. 3x25y2
Answer:
A. a. 9x^4 b. 3x^5y
Step-by-step explanation:
a. 5x^4 + 4x^4
Since these are to the same power, they are like terms and we can add them
9x^4
b. 12x^5y − 9x^5y
Since these are to the same power, they are like terms and we can subtract them.
3x^5y
PLEASE HELPPP
In the system of equations, which variable would it be easiest to solve for?
2x+4y=26
3x+y=9
A.The easiest to solve for is x in the first equation.
B.The easiest to solve for is y in the first equation.
C.The easiest to solve for is x in the second equation.
D.The easiest to solve for is y in the second equation.
What three numbers multiply to equal 240
Answer:
8,3, and 10 or 6,4, 10, or 12, 2, and 10
Step-by-step explanation:
You just multiply each of the 3 numbers to equal 240
There are plenty of triples of numbers (x,y,x) that satisfy x*y*z = 240. Some integer candidates include (1,1,240), (1,2,120), (2,5,24), (3,5,16), (4,6,10) and many more. If you don’t restrict your attention to integers, there are even more candidates.
Hope This Helps!!!
-Austint1414
What number completes the following sequence
48, 24, 12, 6
Answer:
3
Step-by-step explanation:
48 - 24 = 24
24 - 12 = 12
12 - 6 = 6
6 - 3 = 3
Thats the pattern
Plzzz mark brainlest and thank me
Which postulate or theorem, if any, could you use to prove the two triangles congruent? If there is not enough information to prove the triangles congruent, write not enough information.
click on pic to enlarge. I really need help in you can solve that would be great
To prove two triangles congruent, postulates like SSS, SAS, ASA, or the HL Theorem are typically used. The Pythagorean theorem finds the lengths of sides of a right triangle, but does not alone prove congruency without additional information.
Explanation:Without seeing the specific details of the triangles in question, we cannot definitively say which theorem or postulate would be used to prove them congruent. However, common tools used in proving the congruence of triangles are Side-Side-Side (SSS), Side-Angle-Side (SAS), and Angle-Side-Angle (ASA) postulates, as well as the Hypotenuse-Leg (HL) Theorem which specifically applies to right triangles. From the details given in the question, the Pythagorean theorem is mentioned. The Pythagorean theorem is used to find the sizes of the sides of a right triangle but it does not prove congruence between two triangles. To use it as a part of congruence proof, one usually needs additional information like other sides' measurements or angles' measurements.
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A trapezoid in Quadrant III rotates 180° clockwise about the origin. What effect does the rotation have on the signs of the coordinates? A) The signs change from negative to positive. B) The signs change from positive to negative. C) Only the x-coordinate's sign changes from negative to positive. D) Only the y-coordinate's sign changes from negative to positive.
Answer:
A.The signs change from negative to positive.
Step-by-step explanation:
We are given that trapezoid in quadrant III rotates 180 degrees clockwise about the origin.
We have to find the effect of rotation on the sign of coordinates .
We know that the transformation rule of rotation 180 degrees about the origin is given by
[tex](x,y)\righatarrow (-x,-y)[/tex]
When a trapezoid lie in III quadrant then the coordinates of all four points are negative because in III quadrant x and y are both negative.
When the trapezoid rotates 180 degrees clockwise about the origin then by using the given rule the sign of coordinates from negative to positive.
Hence, option A is true.
The signs of both x and y coordinates of a trapezoid in Quadrant III change from negative to positive after a 180° clockwise rotation about the origin, resulting in a new position in Quadrant I.
When a trapezoid positioned in Quadrant III, where both x and y coordinates are negative, undergoes a 180° rotation clockwise about the origin, the signs of both coordinates change. This type of rotation is a half-circle and results in the figure being mirrored over the origin into the quadrant directly opposite Quadrant III, which is Quadrant I. Here, both the x and y coordinates become positive, as any point that was (-x, -y) in Quadrant III will become (x, y) in Quadrant I after a 180° rotation.
This transformation aligns with the properties outlined for rotational symmetry operations, reversing the direction of both the x and y vectors without altering their magnitudes. The correct answer to the student's question is therefore option A: The signs change from negative to positive.
A company is testing and comparing two lightbulb designs. The box plots show the number of hours that each lightbulb design lasts before burning out. Which statement is best supported by the information in the plots?
Answer:
Design B bulbs will likely last longer than design A bulbs
Step-by-step explanation:
The B box part spans higher numbers than the A box and the median of B bulbs is higher than median of the A bulbs.
Answer:
Design B bulb will likely last longer than design A bulbs
Step-by-step explanation:
Got it right on IM
Select all that apply.
A point located at (5, -2) undergoes two transformations. Its image is located at (-5, 2). What were the transformations?
The point was reflected over the y -axis and translated up 4 units.
The point was translated right 10 units and reflected over the x -axis.
The point was translated left 10 units and up 4 units.
The point was reflected over the y -axis and translated down 4 units.
__________________________________________________
Point A , located at (-2, 4), is translated down 6 units. What are the coordinates of A '?
1. (-8, 4)
2. (-8, -2)
3. (-2, -2)
4. (-2, 4)
__________________________________________________
Point B , located at (-4, -7), is reflected over the y -axis. What are the coordinates of B '?
(-4, 7)
(4, -7)
(4, 7)
(-4, -7)
Answer:
The point was reflected over the y -axis and translated up 4 units.
The point was translated left 10 units and up 4 units.
_________________________________________________________
3. (-2,-2)
_________________________________________________________
B' = (4,-7)
Answer:
B and F
Step-by-step explanation:
A bag has six balls labeled
,
,
,
,
, and
.
One ball will be randomly picked, and its letter will be recorded as the outcome.
Give the sample space describing all possible outcomes.
Then give all of the outcomes for the event of choosing a letter from
to
.
If there is more than one element in the set, separate them with commas.
Sample space--
A sample space is a set which contains the set of all the possible outcomes or results that could occur while performing an experiment.
i.e. the sample space while flipping a coin is: {H,T}
The sample space while tossing a six-sided die is: {1,2,3,4,5,6}
Here it is given that:
A bag has six balls labeled: A,B,C,D,E,F
One ball will be randomly picked, and its letter will be recorded as the outcome.This means that the sample space is given by:
Sample space={ A,B,C,D,E,F}
Now, when the event is choosing a letter from D to F.Then the sample space is:
Sample space= {D,E,F}
The sample space of a bag with balls labeled A to F is {A, B, C, D, E, F}. For the event of choosing a letter from A to E, the outcomes are {A, B, C, D, E}.
Explanation:To answer the student's question about the sample space and the event of choosing a letter from A to E, we must first understand the concept of sample space in probability. The sample space is the set of all possible outcomes of a probability experiment. In this case, since the bag contains six balls labeled A, B, C, D, E, and F, the sample space describing all possible outcomes is {A, B, C, D, E, F}.
Now, the event of choosing a letter from A to E simply means finding all the outcomes within the sample space that meet the criteria of being letter A, B, C, D, or E. Therefore, the outcomes for this event are {A, B, C, D, E}.
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Find the sum of 5-9i and -4+7i, subtract 14-3i
Answer:
-13 -i
Step-by-step explanation:
The first step is to find the sum
5-9i and -4+7i
Add the real parts and then the imaginary parts
5+-4 = 1
-9i + 7i = -2i
5-9i + -4+7i = 1 -2i
Now we subtract 14 -3i
1 -2i - (14 -3i)
Subtract the real parts and then the imaginary parts
1-14 = -13
-2i - -3i = -2i+3i = i
1 -2i - (14 -3i) = -13 -i
which table represents a linear function?
The table which represents a linear function is:
Last table.
x y
1 -5
2 0
3 5
4 10
Step-by-step explanation:We know that a function is linear if the rate of change is constant.
i.e. the ratio of difference in y value to the corresponding difference in x value is constant.
i.e. for two values (x,y) and (x',y') the rate of change is given by:
[tex]\text{Rate\ of\ change}=\dfrac{y-y'}{x-x'}[/tex]
In each of the tables we observe that the difference in x-value is constant i.e. 1.
since, 2-1=1
3-2=1
and 4-3=1
Now, the function will be linear for which the difference in the y-value is constant.
a)
x y
1 5
2 9
3 5
4 9
The difference in the y-value is as follows:
9-5=4
5-9= -4
9-5= 4
Since, the difference is not constant.
Hence, the function is not linear.
b)
x y
1 -5
2 10
3 -15
4 20
The difference in the y-value is as follows:
10-(-5)=15
-15-10= -25
20-(-15)=35
Hence, the function is not linear ; since the difference in the y-value is not constant.
c)
x y
1 5
2 10
3 20
4 40
The difference in the y-value is as follows:
10-5=5
20-10=10
40-20=20
Since, the difference in the y-value is not constant.
Hence, the function is not linear.
d)
x y
1 -5
2 0
3 5
4 10
The difference in the y-value is as follows:
0-(-5)=5
5-0=5
10-5=5
Since, the difference in the y-value is constant.
Hence, the function is linear.