Answer:
B
Step-by-step explanation:
By applying basic formula of probability we got that statement "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True
What is probability ?Probability means chances of an event to occur .
Probability = favourable outcome /the total number of possible outcomes.
Total button in package L= 50
Total button in package M= 30
(a)
Probability of selecting green or black button from package L= (8+7)/50
=15/50=3/10
Probability of selecting red button from package M=9/30 = 3/10
Hence statement is true
(b)
Probability of selecting black button from package L= 7/50
Probability of selecting black button from package L=8/50
Hence statement is false
(c)
Probability of selecting red button from package L=12/50=6/25
Probability of selecting green button from package M=6/30=1/5
Hence statement is false
(d) Probability of selecting yellow button from package L=10/50=1/5
Probability of selecting yellow or green button from package M=9/30=3/10
Hence statement is false .
By applying basic formula of probability we got that statement "The probability of randomly selecting a green or a black button from Package L is equal to the probability of randomly selecting a red button from Package M." is True .
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how do you answer this
Answer:
19 units
Step-by-step explanation:
count the squares around the shape for the slanted part treat it like a rectangle and just count the squares from the pointy spot to the other side where it stops
Find the exact value of x
3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.
ILL GIVE YOU BRAINLIST PLS HELP THE PICTURE IS BELOW.
Answer:
(32,48)
Step-by-step explanation:
Notice the pattern? Every time the number multiplies by 2.
Expand and simplify5(2a)-7+3a
Answer:
13a-7
Step-by-step explanation:
First step: Multiply the numbers
5*2a-7+3a
10a-7+3a
Second step: Combine like terms :)
10a-7+3a
13a-7
(if its wrong you have every right to report me)
please help me with this htere is good point plus brainliest
What is the question, is their answer options or...?
Answer:
See attached
Step-by-step explanation:
Find the area of a circle that has a diameter of 11 inches. Approximate r as 3.14. Round your answer to the nearest
hundredth.
חו
A=
in?
Answer:
94.985in^2
Step-by-step explanation:
Given data
Diameter= 11inches
Radius = 5.5 in i.e 11/2= 5.5inches
The Area of a circle is given as
Area= πr^2
Substitute
Area= 3.14*5.5^2
Area= 3.14*30.25
Area= 94.985 in^2
Hence the area is 94.985in^2
The answer is 94.985in^2
rounded to neaarest hundreth 94.99in^2
Find the area of the square.
A square. Its width is marked by a curved bracket labeled four-ninths centimeters.
The area of square will be;
⇒ 16/81 cm²
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
The width of square = 4/9 centimeters
Now,
We know that;
The area of square = Side × Side
Here, The width of square = 4/9 centimeters
Hence, The area of square with side 4/9 cm is,
⇒ The area of square = Side × Side
⇒ The area of square = 4/9 × 4/9
⇒ The area of square = 16/81 cm²
Thus, We get;
⇒ The area of square = 16/81 cm
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(WILL GET BRAINLIST) Which place from the Middle East is best to vist
Answer:
Dubai , Istanbul , Cairo , Jerusalem
Step-by-step explanation:
The virus I suggest stay home.
Construct a Turing machine with tape symbols 0, 1, and B that, when given a bit string as input, adds a 1 to the end of the bit string and does not change any of the other symbols on the tape.
A Turing machine is a mathematical model of computation that is a simple hypothetical device that operates on an infinite tape of cells, where each cell can contain a symbol from a finite set of symbols.
Here is how you can construct a Turing machine that adds a 1 to the end of a bit string without changing any of the other symbols on the tape:
1. Start by placing a marker on the leftmost symbol of the input bit string. This marker will be used to indicate the end of the bit string.
2. Move the tape head to the right until it reaches the marker.
3. Once the tape head is on the marker, overwrite it with a 1.
4. Move the tape head back to the leftmost symbol of the input bit string.
5. Now, move the tape head to the right until it reaches the end of the input bit string (which is now a 1).
6. Place another marker on the new end of the bit string.
7. Move the tape head back to the leftmost symbol of the input bit string.
8. Finally, move the tape head to the right until it reaches the second marker. Once the tape head is on the second marker, halt the Turing machine.
This Turing machine will add a 1 to the end of a bit string without changing any of the other symbols on the tape. Note that this Turing machine assumes that the input bit string is non-empty and consists only of 0s and 1s.
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The right triangle below is dilated by a scale factor of . Find the perimeter and area
of the right triangle below, as well as the perimeter and area of the dilated right
triangle. Figures are not necessarily drawn to scale.
12
20
16
1. The area and perimeter of the right triangle are 48units and 96units²
2. The area and perimeter of the dilated triangle are 12units and 6 units²
What is dilation?Dilation is a transformation, which is used to resize the object. Dilation is used to make the objects larger or smaller.
scale factor = new dimension / old dimension
therefore the new length of the dilated triangle will be ;
12/4, 16/4, 20/4 = 3, 4,5
therefore the perimeter of the triangle = 16+20+12 = 48 units
area = 1/2 × 16× 12
= 96units²
The perimeter of the dilated triangle = 3+4+5 = 12units
area = 1/2 × 3 × 4
= 6 units²
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What is the value of the expression -8-[-3]
Answer:
-5
Step-by-step explanation:
Lets break this down,
-8 -(-3)
The -(-3) is like "What is the opposite of -3?" which is 3. so it simplified to -8 + 3. You could also rewrite this as 3 - 8, which is -5. So therefore -5 is the offical answer
Answer:
-5
Step-by-step explanation:
Two negatives being subtracted from each other is the same as a negative being added by a positive. It turns the two negative signs into a plus sign.
-8 - [-3] = -8 + 3
-8 + 3 = -5
hope this helps :)
When constructing an equilateral triangle by hand, which step comes after constructing a circle? (1 point)
A. Set compass to the diameter of the circle.
B. Set compass to the radius of the circle.
C.Use a straightedge to draw a diameter of the circle.
D. Use a straightedge to draw the radius of the circle.
The next step in construction of an equilateral triangle is;
C. Use a straightedge to draw a diameter of the circle.
What are the steps in constructing an Equilateral Triangle?An equilateral triangle is defined as a triangle that has its' 3 sides equal and three interior angles equal.
Now, the steps to construct an equilateral triangle by hand are;
1. Place your compass point on a paper and draw a circle, O.
2. Use a straightedge, to draw a diameter of the circle, labeling the endpoints P and B.
3. Without changing the span on the compass, place the compass point on P and draw a full circle.
4. Label the points of intersection of the two circle circumferences with A and C.
5. Draw segments from A to B, B to C and C to A, to form the equilateral triangle.
Thus, we see that after drawing the circle, the next point is to Use a straightedge to draw a diameter of the circle.
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What fraction of the class has the number of pets that occurs most often? Express your answer as a percent, too. *
Answer:
i dont think you have included all the info of the question so if you do that i might be able to help you :)
Step-by-step explanation:
Ethan has partially filled the prism with 8 unit cubes.
A rectangular prism with length, height, and width of 3.
How many more cubes does he need to fill the prism completely?
10
15
19
21
Answer: is it c?
Step-by-step explanation:
Answer:
I think C is your answer.
Step-by-step explanation:
Please help and thank you <3
two planes just took off from reno, nv. the first plane is traveling 3.5 times as fast as the second plane. after traveling in the same direction for 6 hours, they are 1455 miles apart. what is the average speed of each plane? (hint: since they are traveling in the same direction, the distance between them will be the difference of their distances.)
The average speed of the first plane is 339.5 mph, and the average speed of the second plane is 97 mph.
To find the average speed of each plane, we can use the formula:
Speed = Distance / Time
Let's assign variables to the speeds of the two planes. Let's say the speed of the second plane is 'x' mph. Since the first plane is traveling 3.5 times as fast, the speed of the first plane would be 3.5x mph.
Now, we know that both planes have traveled for 6 hours and are 1455 miles apart. Since they are traveling in the same direction, the distance between them will be the difference of their distances. Therefore, we have:
Distance of the first plane = 3.5x * 6 = 21x miles
Distance of the second plane = x * 6 = 6x miles
The difference between their distances is 1455 miles, so we can set up the equation:
21x - 6x = 1455
Combining like terms, we get:
15x = 1455
Dividing both sides by 15, we find:
x = 97
So, the speed of the second plane is 97 mph, and the speed of the first plane is 3.5 * 97 = 339.5 mph.
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Choose appropriate intervals to organize each set of data in a frequency table. Lengths of short stories (number of words): 120, 173, 287, 599, 183, 298, 376, 922times for candles to burn completely (min): 120, 125, 129, 128, 125, 122, 120, 123attendance at shows (number of people): 120, 4989, 2998, 2774, 1487, 159, 3992heights of plants (cm): 120, 387, 428, 127, 287, 125, 332, 487
For the lengths of short stories (number of words), appropriate intervals for organizing the data in a frequency table could be:
0-200 words
201-400 words
401-600 words
601-800 words
801-1000 words
To create intervals for the lengths of short stories, we consider the range of values present in the data set. The minimum value is 120 words, and the maximum value is 922 words. By dividing the range into equal intervals, we can create appropriate intervals for the frequency table.
In this case, we divide the range of 922 - 120 = 802 words into 5 equal intervals, resulting in an interval width of 802 / 5 = 160.4 words. Since we cannot have a fractional number of words, we can round up to the nearest whole number and set the interval width to 161 words.
Starting from the minimum value of 120 words, we can organize the intervals as follows:
0-200 words
Includes values from 120 to 280 words (120 + 161)
201-400 words
Includes values from 281 to 441 words (280 + 161)
401-600 words
Includes values from 442 to 602 words (441 + 161)
601-800 words
Includes values from 603 to 763 words (602 + 161)
801-1000 words
Includes values from 764 to 924 words (763 + 161)
By using these intervals, we can create a frequency table that shows the number of short stories falling within each interval.
Note: The intervals can be adjusted based on the specific requirements or preferences of the analysis.
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solve the following inequality algebraically
|x + 10|| <1
The solution of the given inequality is x<-9.
What is inequality?
Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The given inequality is |x + 10|| <1. The inequality will be solved as below:-
|x + 10|| <1
Take 10 to the right side of the inequality and solve it further.
|x || <1 - 10
x < -9
Therefore, the solution of the given inequality is x<-9.
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A score that is 3 points lower than the sample mean has a z-score of z=-0.25, and a score of X= 44 has a z-score of -0.75. What is the sample mean? O a. M=48 b. M=56 c. M=51 d. M=53
The sample mean is c) M=51.
To find the sample mean, we can use the formula for z-score:
z = (X - M) / s
where:
In this case, we have two equations with two unknowns:
-0.25 = (M - 3 - M) / s
-0.75 = (44 - M) / s
Multiplying both sides of the first equation by s gives us:
-0.25s = M - 3 - M
Simplifying gives us:
-0.25s = -3
Next, we can multiply both sides of the second equation by s:
-0.75s = 44 - M
Now we can substitute the value of s from the first equation into the second equation:
-0.75(-3 / 0.25) = 44 - M
Simplifying gives us:
9 = 44 - M
Finally, we can solve for M:
M = 44 - 9
M = 35
So the sample mean is 35.
However, this answer is not one of the options given. It's possible that there was a mistake in the original question or in the calculations. Double-checking the calculations and the original question can help determine the correct answer. In this case, the correct answer is c. M=51.
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Will give Brainliest if right
The value of x is 14 and the value of y is 7√3.
What are trigonometric ratios in terms of a right-angle triangle?We know a right-angled triangle has three sides they are -: Hypotenuse,
Opposite and Adjacent.
We can remember SOH CAH TOA which is,
sin = opposite/hypotenuse, cos = adjecen/hypotenuse and
tan = opposite/adjacent.
We know sin is opposite/hypotenuse
∴ sin30° = 7/x.
1/2 = 7/x.
x = 14.
We also know that tan is opposite/adjacent.
tan30° = 7/y.
1/√3 = 7/y.
y = 7√3.
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The number of bacteria in a culture is increasing according to the law of exponential growth. The initial population is 240 bacteria, and the population after 9 hours is double the population after 1 hour. How many bacteria will there be after 4 hours? (Round your answer to the nearest whole number.)
Answer:
339
Step-by-step explanation:
Exponential Function
General form of an exponential function: \(y=ab^x\)
where:
a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variableIf b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
Given information:
a = 240 (initial population of bacteria)x = time (in hours)y = population of bacteriaTherefore: \(y=240b^x\)
To find an expression for the population after 1 hour, substitute x = 1 into the found equation:
\(\implies y=240b^1\)
\(\implies y=240b\)
We are told that the population after 9 hours is double the population after 1 hour. Therefore, make y equal to twice the found expression for the population after 1 hour, let x = 9, then solve for b:
\(\implies 2(240b)=240b^9\)
\(\implies 480b=240b^9\)
\(\implies 480=240b^8\)
\(\implies 2=b^8\)
\(\implies b=\sqrt[8]{2}\)
\(\implies b=2^{\frac{1}{8}}\)
Therefore, the final exponential equation modelling the given scenario is:
\(\implies y=240(2^{\frac{1}{8}})^x\)
\(\implies y=240(2)^{\frac{1}{8}x}\)
To find how many bacteria there will be after 4 hours, substitute x = 4 into the found equation:
\(\implies y=240(2)^{\frac{1}{8}(4)}\)
\(\implies y=240(2)^{\frac{1}{2}}\)
\(\implies y=339 \:\: \sf (nearest\:whole\:number)\)
Therefore, there will be 339 bacteria (rounded to the nearest whole number) after 4 hours.
Mr.Jones earned $4,800.00 a week. One week he saved 1/5 of his wages was spent?
Answer:
960
Step-by-step explanation:
We need to find 1/5 of 4800, we will do:
4800/5=960
So 960 is our answer.
which answer is this
A.43
B.38
C.61
D.81
Write an equation of a line in slope-intercept form that is parallel to the graph of y = 2x + 5/4 and has a y-intercept of -1/2.
A. y=2x+5/4
B. y=1/2x-1/2
C. y=-1/2x-1/2
D. 2x-1/2
Answer: y = 2x - 1/2
Step-by-step explanation:
1. graph the first line
2. shift it down enough to get the correct y intercept
3. keep the slope the same
4. done
Qa.) State the contrapositive of the following implication. If G is a connected planar graph then G has at least one vertex of degree <= 5.
Qb.) Prove the contrapositive stated in part (a). Hint: use the fact that if G is a connected Planar graph , then e <= 3v-6.
Qc.) Use part (a) to show that every planar graph can be colored with 6 (or less) colors. Hint: Use a proof by Induction on the number of vertices G.
We assume that G is a connected planar graph with no vertex of degree <= 5. We will use e <= 3v - 6 to prove that G is not a planar graph. By handshaking lemma, we know that 2e = sum of degrees of all vertices. Let d be the maximum degree of G.
Qa. Contrapositive of an implication is a new implication formed by negating both the hypothesis and the conclusion.
The contrapositive of the implication "If G is a connected planar graph, then G has at least one vertex of degree <= 5" is "If G has no vertex of degree <= 5, then G is not a connected planar graph."
Qb. Proof: We assume that G is a connected planar graph with no vertex of degree <= 5.
We will use e <= 3v - 6 to prove that G is not a planar graph. By handshaking lemma, we know that 2e = sum of degrees of all vertices.
Let d be the maximum degree of G. Since G has no vertex of degree <= 5, then d >= 6.
Thus, the sum of degrees of all vertices in G is greater than or equal to 6v/2, which is equal to 3v.
Hence, 2e >= 3v.
Substituting this inequality in e <= 3v - 6, we get 2e >= 3e - 6, which implies that e >= 6.
Since e >= 6, it follows that G is not planar.
Qc. Proof: We use proof by induction on the number of vertices of G. For a graph with one vertex, the statement is trivially true.
For a graph with n > 1 vertices, assume that every planar graph with at most n - 1 vertices can be colored with 6 (or less) colors.
Let G be a planar graph with n vertices.
By part (a), there exists a vertex v of G with degree <= 5.
We remove v and all its edges from G to get a new graph G' with n - 1 vertices.
By the induction hypothesis, we can color G' with 6 (or less) colors.
We add back v and its edges to G.
Since v has degree <= 5, at most 5 colors are used on its adjacent vertices.
We use a new color for v.
Thus, G can be colored with 6 (or less) colors.
Therefore, by induction, the statement is true for all planar graphs.
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Solve the inequality:
2x - 6 > 12
Answer:
x>9
Step-by-step explanation:
2x−6>12
Step 1: Add 6 to both sides.
2x−6+6>12+6
2x>18
Step 2: Divide both sides by 2.
2x
2
>
18
2
Answer:
x belong (9;+infinity)
Step-by-step explanation:
2x-6>12
2x>18
x>18/2
x>9
x belong (9;+infinity)
Find the value of x and y that will make each quadrilateral a parallelogram.
Answer:
the opposite Angles sum up to give 180
Step-by-step explanation:
3y +3y = 180
y=30
if y = 30 the x = 55
are you clear?
Answer:
3y+3y=180°{sum of opposite angle of parallelogram are supplementary}
6y=80
y=180/6
y=30°
again,
4y-65+x=180°{ sum of of opposite angle of parallelogram are supplementary }
4×30-65+x=108
x=180-55
x=125
so to make quadrilateral as parellogram
3y=3y3×30=3×3090°=90°
Median of these numbers 97,82,66,98,66,85,82,66 and 78
Answer:
The median is 82
Step-by-step explanation:
Order least to greatest
66, 66, 66, 78, 82, 82, 85, 97, 98
Eliminate one from each side until you get the one in the center of all of the numbers
In this case, it is 82
Hope this helps!
can someone help with this
The volume of the cylinder can be obtained from the calculation as 1356 \(cm^3\)
What is the volume of a cylinder?
We know that the volume of the cylinder is;
π (pi) is a mathematical constant approximately equal to 3.14159
r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)
h is the height of the cylinder (the distance between the bases)
By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.
V = π\(r^2\)h
V = 3.14 *\((12/2)^2\) * 12
h = 1356 \(cm^3\)
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