four fair coins are to be flipped. what is the probability that all four will be heads or all four will be tails? express your answer as a common fraction.
The probability that all four will be heads or all four will be tails is 1/8.
What is probability?
A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.Total number of outcomes = 2⁴
Probability of all four will be tails:
P(TTTT) = 1/2⁴
Probability of all four will be heads:
P(HHHH) = 1/2⁴
P(TTTT or HHHH)
= P(TTTT) + P(HHHH)
= 1/2⁴ + 1/2⁴
= 1/16 + 1/16
= 2/16
P(TTTT or HHHH) = 1/8
Hence, the probability that all four will be heads or all four will be tails is 1/8.
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I just need someone to help me with the third one I already did the other two, I will give brainliest
Answer:
the solution to the equation is 5
Answer:
n = 5
Step-by-step explanation:
We can substitute n for 5 in the equation to check and see if it is true.
2(5) - 3 = 7
10 - 3 = 7
hope this helps :)
PLS HELP! WILL MAKE U BRAINLIST!
Find the point of intersection using substitution. DO NOT USE ANOTHER METHOD. Show all your thinking.
Answer:
(-2,-3)
Step-by-step explanation:
3x+y=-9
-3x -3x
y=-3x-9
5x-3(-3x-9)=-1
14x+ 27= -1
-27 -27
14x= -28
/14 /14
x=-2
plug in x
3(-2)+y=-9
-6+y=-9
+6 +6
y=-3
A benchmark is known to be at an elevation of 100 feet and the finish grade is to be set at 97 feet. Your site reading at the benchmark using a builders level and a leveling rod reads 4.5 feet. What should your reading be at finished grade?
The reading at finished grade would be 1.5 feet.
To determine the reading at finished grade, you need to subtract the difference in elevation between the benchmark and finished grade from the initial site reading at the benchmark. In this case, the benchmark is at an elevation of 100 feet and the finish grade is set at 97 feet, which means there is a difference of 3 feet in elevation.
Given that the site reading at the benchmark is 4.5 feet, you need to subtract the 3 feet difference in elevation.
Therefore, your reading at finished grade would be 4.5 feet - 3 feet = 1.5 feet.
In conclusion, the reading at finished grade would be 1.5 feet.
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Given: AD/DC=BE/EC
Prove: AB=DE
А
D
2
E
B
Complete the steps of the proof.
Answer:
question given unclear bro add a photo or something it isnt clear
Step-by-step explanation:
you have a cake that is 16 inches by 18 inches.you want each piece to be exactly the same size.how many people can u serve equal sized piece of cake
The number of people are 72.
What is HCF?Highest Common Factor is the full name for HCF in mathematics.
According to the laws of mathematics, the highest positive integer that divides two or more positive integers without leaving a residual is known as the greatest common divisor, or gcd.
What is LCM?Least Common Multiple is the full name for LCM in mathematics.
LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM.
We need to know the size of the pieces in order to calculate how many people can be fed equal-sized pieces of cake from a 16 by 18-inch cake.
Assume that each piece is a square with sides measuring "x" in length. Each piece's area would be x², and the cake's overall area would be 16 x 18 inches, or 288 square inches.
We must divide the entire area of the cake by the area of each piece to determine the maximum number of pieces that can be cut from the cake:
288 / x² = (16*18) / x² = 288 / x²
Choosing a "x" value that evenly splits into 16 and 18 is necessary if we want every piece to be the exact same size. Since 2 is the greatest possible value, we can divide the cake into 8 rows of 9 squares, yielding a total of 72 pieces.
As a result, a cake measuring 16 inches by 18 inches can be divided into 72 equal-sized pieces, each measuring 2 inches by 2 inches.
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We can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
What is area?A two-dimensional figure, form, or planar lamina's area is a measurement of how much space it takes up in the plane.
To find out how many people can be served equal-sized pieces of cake from a cake that is 16 inches by 18 inches, we need to first determine the size of each piece of cake.
The total area of the cake is:
16 inches x 18 inches = 288 square inches
To divide the cake into equal-sized pieces, we need to determine the size of each piece. Let's assume we want each piece to be a square. To find the size of each square, we need to find the square root of the total area of the cake:
√(288 square inches) ≈ 16.97 inches
Since we want the pieces to be exactly the same size, we'll round down to the nearest inch, which gives us:
Each piece of cake will be approximately 16 inches by 16 inches.
To find out how many people can be served equal-sized pieces of cake, we need to divide the total area of the cake by the area of each piece:
288 square inches ÷ (16 inches x 16 inches) = 18
Therefore, we can serve 18 people equal-sized pieces of cake from a cake that is 16 inches by 18 inches, assuming each piece is a square and we want the pieces to be exactly the same size.
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HELP ME ASAP!!!!!!!!
SEE PIC ATTACHED
FRIEND REQUEST ME AND I'LL ACCEPT ALSO YOU WILL GET THANKS, BRAINLIEST AND A STAR RATING OF EXCELLENT! Good Luck!
Step-by-step explanation:
a. 6 £/hr
b. 6.8 £/hr.....is this right?
Answer:
B) 1 hour = £10
Step-by-step explanation:
the higher rate starts from 20 hours and the pay is £120 if you go to 30 hours, the pay rate is £220. A raise of £100. This means the new pay rate is for every 1 hour worked, you get £10
Omar sells potato salad in his sandwich shop. Omar used the equation y= 2.89x to determine the total cost for different amounts of potato salad. What is the cost of the potato salad at Omar’s Sandwich Shop (Like ___ Math input per pound)
Answer:
$2.98
Step-by-step explanation:
x is how many units of potato salad were sold and y represents the total earnings
The number of deaths of children ages 1 to 14 in 1985 compared to 1991 for 10 states was gathered. (10 points) State Number of Child Deaths in 1985 Number of Child Deaths in 1991 1 33 51 2 53 33 3 58 51 4 73 44 5 88 89 6 130 142 7 212 195 8 213 215 9 275 269 10 313 312 Part A: Determine and interpret the LSRL. (3 points) Part B: Predict the number of child deaths in 1991 for State 11 if the number in 1985 was 65. Show your work. (3 points) Part C: Calculate and interpret the residual for State 11 if the observed number of deaths in 1991 was 42. Show your work. (4 points)
Solution :
From the output of regression equation given by
Number of death of children in 1991 = \($-5.21226+1.003538 \times \text{ No. of child death in 1985}$\)
Now, number of death of children in the year 1991 = \($-5.21226+1.003538 \times \text{ No. of child death in 1985}$\)
For x = no. of deaths of children in the year 1985 = 65
So substituting in the regression equation,
No. of deaths of children in year 1991 = \($-5.21226+1.003538 \times 65$\)
= \($60.01771$\)
≈ 60
Now residual = \($\text{observed y - predicted y}$\)
= \($42-60$\)
\($-18$\)
Part(a): Number of child deaths is,
\(1991=-5.21226+1.003538\times\) number of child deaths in 1985
Part(b):
The number of child deaths in 1991 is 60.
Part(c): The observed is -18.
Part(a):
The given data can be solved by excel as,
From the output regression equation is,
Number of child deaths is,
\(1991=-5.21226+1.003538\times\) number of child deaths in 1985
Part(b):
Number of child deaths is,
\(1991=-5.21226+1.003538\times\) number of child deaths in 1985
For x=Number of child deaths in 1985=65
Number of child deaths in 1991 is,
\(-5.21226+1.003538\times65=60.01771\\=60\)
Part(c):
Residual=observed y-predicted y
=42-60
=-18
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Give the characteristic polynomial for the following inhomogeneous recurrence. Then write down the roots and their multiplicity. t
n
+3t
n−1
+2t
n−2
=3
n
. Hint: Note that the inhomogeneous part can be parsed as 1⋅3
n
. That means p(n)=1 and b=3.
The complete solution to the inhomogeneous recurrence tₙ + 3tₙ₋₁ + 2tₙ₋₂ = 3ⁿ consists of the homogeneous solution (combinations of the roots) and the particular solution: tₙ = A(-2)ⁿ + B(-1)ⁿ + tₚ
To find the characteristic polynomial for the given inhomogeneous recurrence, we first need to solve the associated homogeneous recurrence, which is obtained by setting the right-hand side (RHS) equal to zero:
tₙ + 3tₙ₋₁ + 2tₙ₋₂ = 0
The characteristic polynomial is derived by replacing each term in the homogeneous recurrence with a variable, let's say r:
r² + 3r + 2 = 0
Now we can solve this quadratic equation to find the roots:
(r + 2)(r + 1) = 0
This equation has two roots:
r₁ = -2
r₂ = -1
The roots of the characteristic polynomial represent the solutions to the homogeneous recurrence. Since the equation is second-order, there are two distinct roots.
Next, we need to consider the inhomogeneous part of the recurrence, which is 3ⁿ. The inhomogeneous part does not affect the roots of the characteristic polynomial but instead contributes to the particular solution.
Since the inhomogeneous part can be parsed as 1 * 3ⁿ, we have p(n) = 1 and b = 3.
The characteristic polynomial remains unchanged:
(r + 2)(r + 1) = 0
The roots of the characteristic polynomial are:
r₁ = -2 (with multiplicity 1)
r₂ = -1 (with multiplicity 1)
These roots represent the solutions to the homogeneous recurrence.
To find the particular solution, we use the fact that b/p(n) = 3/1 = 3. Since p(n) = 1, the particular solution is a constant, which we can denote as tₚ.
Therefore, the complete solution to the inhomogeneous recurrence tₙ + 3tₙ₋₁ + 2tₙ₋₂ = 3ⁿ consists of the homogeneous solution (combinations of the roots) and the particular solution:
tₙ = A(-2)ⁿ + B(-1)ⁿ + tₚ
where A and B are constants determined by initial conditions, and tₚ is the particular solution.
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Please help due ASAP
Show workings
Answer:
WZ = 30
Step-by-step explanation:
set up equation based on WZ = W'Z'
3/4[6x + 10] = 13x - 35
multiply each side of equation by 4 to eliminate fractions:
18x + 30 = 52x - 140
-34x = -170
x = 5
substitute 5 for 'x' in either expression:
13(5) - 35
65 - 35 = 30
Answer:
\( \frac{3}{4} (6x + 10) = 13x - 35 \\ \)
Just find the value x
Please answer these questions
7, 20 and 12 units cannot form a triangle.
15, 8 and 17 form a right angle triangle.
12, 10 and 8 can form a triangle.
How to find a triangle?The sum of the lengths of any two sides of a triangle is greater than the length of the third side.
Using the triangle inequality theorem,
7, 20 and 12 units cannot form a triangle because 7 + 12 is less than 20 units.
15, 8 and 17 can form a triangle. The triangle formed is a right angle triangle. A right tangle triangle is a triangle that has one of its angles as 90 degrees.
8² + 15² = 17²
64 + 225 = 289
12, 10 and 8 can form a triangle.
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will make brainiest Each bag of candy has 20 Twix bars, 15 Hershey's bars, 25 Reese candy, and 12 bags of M&M's. There are 15 of these big bags of candy. 1) What is the total amount of candy 2) Now divide the candy between 15 students. How many pieces of candy does each student get?
1. The total amount of candy is 1,080 pieces of candy.
2. Each student would get 72 pieces of candy.
Answer:
each student will get 5 pieces of candy
Step-by-step explanation:
20+15+25+12 =72
72 divided by 15 = 5
a DVD club charges a monthly fee of $4.95 and each DVD purchased is $1.95. If a customer's bill for the month was $20.55, how many DVD's did the costumer purchase?
Answer:
8
Step-by-step explanation:
Take away the monthly price, since that's going to be included in the total price
20.55 - 4.95 = 15.60
Now, divide the remaining money by the cost per DVD
15.60 / 1.95 = 8
They have bought 8 DVDs
Hope this helps
If angle 5 is 120 degrees, what is the measure of angle 6?
Angle 5 and angle 6 are in l.p
Therefore:-
120 + x = 180
x = 180 - 120
x = 60°
_________________♡~
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transform these data into a bar graph. put genotype on the x-axis and the proportion of f2s with each phenotype on the y-axis. note any questions that arise.
Therefore , we can transform these data into bar graph with the help of given values.
What is graph?A non-linear data structure consisting of nodes, or vertices, and edges is known as a graph. The nodes, which are sometimes referred to as vertices in a graph, are connected by any two edges. This graph has a set of vertices V= 1, 2, 3, 5, and a set of edges E= 1, 2, 1, 3, 2, 4, 2, 5, and 4, 50.
Here,
The gene plays the role of pigment production .
Yes , The presence of mutagens , temperature , light cycle can influence the fur color.
Mcl gave has ullets it runs in the evolution chart . So the dominant truit mild always present in matured solution.
Therefore , we can transform these data into bar graph with the help of given values.
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Write an equation that could be used to find the retail price for each range. How do you know the equation will work consistently for each range?
Answer:
It looks like you are trying to find the retail price for a given quantity of pairs. To write an equation that could be used to find the retail price for each range of quantities, you will need to know the following information:
The retail price for the first range (0-20 pairs)
The retail price for the second range (21-40 pairs)
The retail price for the third range (41-60 pairs)
The retail price for the fourth range (61-80 pairs)
The retail price for the fifth range (81 or more pairs)
Once you have this information, you can use an if-then statement to create an equation that will work consistently for each range. The equation might look something like this:
if (quantity >= 0 and quantity <= 20):
retail_price = price for 0-20 pairs
elif (quantity >= 21 and quantity <= 40):
retail_price = price for 21-40 pairs
elif (quantity >= 41 and quantity <= 60):
retail_price = price for 41-60 pairs
elif (quantity >= 61 and quantity <= 80):
retail_price = price for 61-80 pairs
else:
retail_price = price for 81 or more pairs
This equation will work consistently for each range because it uses a series of conditions to determine which retail price to use based on the quantity of pairs.
EDIT:
To find the retail price for a given quantity of pairs based on the wholesale prices you provided, you can use the following equation:
if (quantity >= 0 and quantity <= 20):
retail_price = 25.00
elif (quantity >= 21 and quantity <= 40):
retail_price = 23.00
elif (quantity >= 41 and quantity <= 60):
retail_price = 21.00
elif (quantity >= 61 and quantity <= 80):
retail_price = 19.00
else:
retail_price = 17.00
This equation will work consistently for each range because it uses a series of conditions to determine the retail price based on the quantity of pairs. The retail price will be 25.00 for quantities in the first range (0-20 pairs), 23.00 for quantities in the second range (21-40 pairs), 21.00 for quantities in the third range (41-60 pairs), 19.00 for quantities in the fourth range (61-80 pairs), and 17.00 for quantities in the fifth range (81 or more pairs).
Step-by-step explanation:
A salesperson works 40 hours per week at a job where he has two options for being paid. Option A is an hourly wage of $28. Option B is a commission rate of 4% on weekly sales. How much does he need to sell this week to earn the same amount with the two options?
Based on the information, it can be inferred that this salesperson must make sales equivalent to $28,000 to obtain an equal profit with both options.
How to find the amount of money that he would have to sell to make the same profit with both options?To find the amount of money that we must sell to have the same profit with both options we must carry out the following mathematical procedure.
1. We must calculate how much you would earn with option A in a week.
$28 * 40 = $1,120
2. We must make a rule of three to find a value of which 4% is equal to 1,120
4% - $1,120100% - x100% * $1,120 / 4 = $28,000Based on the above, the salesperson must sell $28,000 to make the same profit on both options in one week.
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there are black, blue, and white marbles in a bag. the probability of choosing a black marble is 0.36 . the probability of choosing a black and then a white marble is 0.27 . to the nearest hundredth, what is the probability of the second marble being white if the first marble chosen is black?
There are black, blue, and white marbles in a bag. The probability of choosing a black marble is 0.75.
Let's assume that there are 100 marbles in the bag. If the probability of choosing a black marble is 0.36, there are 36 black marbles in the bag. Therefore, there are 64 marbles of other colors (white and blue) in the bag.
Using the same method, we can say that the probability of choosing a white marble after drawing a black one is \(\frac{0.27}{0.36}= 0.75\) (rounded to the nearest hundredth). It means that there are 75 white marbles for every 100 black marbles in the bag.
Therefore, the probability of the second marble being white if the first marble chosen is black is
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which of the following would be information in a question asking you to find the area of a region under the standard normal curve as a solution?
To find the area of a region under the standard normal curve, the following information would typically be provided in the question:
1. The specific boundaries or limits of the region: The question should provide the z-scores or values that determine the starting and ending points of the region of interest. For example, it could specify "Find the area under the standard normal curve between z = -1.5 and z = 2.0."
2. The type of region: The question might specify whether the desired area is for a specific tail (e.g., "Find the area to the left of z = 1.8") or for a specific interval (e.g., "Find the area between z = -0.5 and z = 1.2").
3. Clear instructions or context: The question should provide sufficient context or instructions to ensure a clear understanding of what area needs to be found. It could specify a particular percentage or probability associated with the region, or it could relate to a specific problem or scenario where finding the area under the standard normal curve is necessary.
By providing these details, the question enables you to determine the appropriate steps to calculate the area using methods such as z-tables, statistical software, or mathematical formulas.
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What is the probability that either event will occur?
Now, find the probability of event A and event B.
A
B
6
6
20
20
P(A and B) = [?]
The probability of event A and event B is 6.
Given that, P(A)=6, P(B)=20 and P(A∩B)=6.
P(A/B) Formula is given as, P(A/B) = P(A∩B) / P(B), where, P(A) is probability of event A happening, P(B) is the probability of event B.
P(A/B) = P(A∩B) / P(B) = 6/20 = 3/10
We know that, P(A and B)=P(A/B)×P(B)
= 3/10 × 20
= 3×2
= 6
Therefore, the probability of event A and event B is 6.
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pls help, it is due now. Thank You so much to whoever helps!
Answer:
(7, -1)
Step-by-step explanation:
3x + 7y = 14
y = x - 8
3x + 7(x - 8) = 14
3x + 7x - 56 = 14
10x - 56 = 14
Add 56 to both sides.
10x = 70
Divide both sides by 10.
x = 7
3(7) + 7y = 14
21 + 7y = 14
Subtract 21 from both sides.
7y = -7
Divide both sides by 7.
y = -1
(7, -1)
Please help! Im failing math Rn! Please help!
Answer:
rickrolled.
Step-by-step explanation:
¯\_(ツ)_/¯
you won't learn by asking others. do it yourself.
Answer:
K
Step-by-step explanation:
help me with this ques. (need solution and answer both) thanks so much <3
Answer:
1.) 27a^11 + 18a^9 -72a^7
2.) 6p^4q^3 - 10p^3q + 4p^2q3
Step-by-step explanation:
1.) Distribute and do the math
-9a^5 x (-3a^6) - 9a^5 X (-2a^4) - 9a^5 x 8a^2
27a^11 + 18a^9 -72a^7
2.) Distribute and do the math
2pq^2q x 3p^2q^2 - sp^2q x 5p + 2p^2q x 2q^2
6p^4q^3 - 10p^3q + 4p^2q3
question 7 options: in the game of roulette, there is a wheel with spaces marked 0 through 36 and a space marked 00. find the probability of winning if you pick the number 30 and it comes up on the wheel.
The probability of winning by picking the number 30 in roulette is 1/38.
In the game of roulette, the wheel consists of 38 spaces, with numbers 0 through 36 and an additional space marked 00. When you pick a specific number, such as 30, the probability of that number coming up on the wheel can be determined by calculating the ratio of favorable outcomes to the total number of possible outcomes.
In this case, there is only one favorable outcome, which is the ball landing on the number 30. The total number of possible outcomes is 38 since there are 37 numbered spaces (0 through 36) and one additional space for 00. Therefore, the probability of winning by picking the number 30 is 1 out of 38.
To put it simply, if you were to play roulette many times, you would expect the number 30 to come up approximately once every 38 spins on average. This probability remains the same for each individual spin, as each spin of the roulette wheel is an independent event.
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please help i dont understand
Answer:
ok
Step-by-step explanation:
AD is 14mm (all sides of rhombus is the same in length)
CBD 32
ADC 44
AED 58
DAC 78
BE 16.8
give me a brainlist thanks
Bro please help this question is pain
Answer:
tttttttttttttttttttttttttttttttttttttttttt
Step-by-step explanation:
tttttttttttttttttttttttttttttttttttttttttttttttttttttttttttttt
Determine the function f satisfying the given conditions.
f ' (x) = sin(x) cos(x)
f (2p) = 10
f (x) = A sinB(x) cosC(x) + D, where A > 0.
A= ?
B=?
C=?
D=?
The function f satisfying the given conditions is
f(x) = (1/2) sin(x) cos(0) + 10 = (1/2) sin(x) + 10
How to determine the function f?
To determine the function f satisfying the given conditions f ' (x) = sin(x) cos(x), f (2p) = 10, and f (x) = A sinB(x) cosC(x) + D, where A > 0, we need to follow these steps:
1. Integrate f ' (x) to find f (x).
∫(sin(x) cos(x)) dx = (1/2) * sin^2(x) + C
2. Apply the given condition f (2p) = 10.
(1/2) * sin^2(2p) + C = 10
Since sin(2p) = 0, the equation becomes:
C = 10
3. Now, we have f(x) = (1/2) * sin^2(x) + 10. We need to express this function in the form of A sinB(x) cosC(x) + D.
We can rewrite the given function as:
f(x) = A sin(2x/2) cos(0) + D
Comparing this with f(x) = (1/2) * sin^2(x) + 10, we get:
A = 1/2
B = 2/2 = 1
C = 0
D = 10
So, the function f satisfying the given conditions is:
f(x) = (1/2) sin(x) cos(0) + 10 = (1/2) sin(x) + 10
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I REALLY NEED HELP
Find X, please
The value of x is,
⇒ x = 21
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
The circle is shown in figure.
Now, By definition of angle,
The value of x is,
x = 1/2 (92 - 50)
x = 1/2 (42)
x = 21
Therefore, The value of x is,
⇒ x = 21
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Order the set of rational rumbers from least to greatest . 12.45, 12.54, 12.252, 12.41, 12.6, 12.51, 12.48 pls and thank u