The correct option is option A , the sample points of a sample space are equally likely events.
In probability when two the occurrence of two events are having a 50 - 50 possibility then those two events are said to be equally likely events. Example , on tossing a coin the probability of getting a H or a tail is 1/2 . Therefore, these events are said to be equally likely events.
Probability is a field of mathematics which tells us about the possibility of occurrence of an event. P = number of favorable outcomes / total number of outcomes , is the formula to calculate probability.
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Please does anyone know the answer to c & d
Answer:
c = 8^5
d = 7^2
Step-by-step explanation:
Answer:
c) =8^5
d) =7^2
Step-by-step explanation:
i hope this helps :)
A mum of 5 children has truncated her children’s heights in metres to 2 decimal places, and written them down in the table.
a) Write down the intervals within which each child’s actual height lies.
b) Write down the minimum and maximum height difference between the tallest and shortest child.
Each child's real height falls between 1.60 and 1.28, with the tallest child's height difference at 0.32 and the smallest child's height difference at 0.04 respectively.
a) The ranges that each child's actual height falls within is ;
Here, Daisy is 1.28 meters short while Isaac is 1.56 meters tall at his tallest.
b) The largest height difference between the tallest and shortest child is 1.60-1.28 =0.32m , while the smallest height difference is 1.60-1.56 = 0.04meters.
Error interval: What does it mean?A number's possible range of values before being rounded or truncated is known as an error interval. Inequalities are frequently used to express error intervals as a range having a lower bound and an upper bound.
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Select the correct answer. which equation combines with the given equation to form a system of equations with the solution x = 3 and y = 9? x 2y = 21
a. 4x 6y = 64
b. 2x y = 36
c. 4x y = 21
d. -3x 4y = 33
e. 3x 2y = 28
An equation that combines with the given equation x + 2y = 21 to form a system of equations with the solution x = 3 and y = 9 is 4x + y = 21.
The correct answer is an option (c)
As x = 3 and y = 9 are the solution of system of equations, the required equation must be true for x = 3 and y = 9.
Given equation is: x + 2y = 21
For x = 3 and y = 9 given equation is 3.
In order to find the required equation, we substitute the values of x and y in each equation and check whether the equation is true for x = 3 and y = 9.
a. For equation, 4x + 6y = 64
LHS = 4(3) + 6(9)
LHS = 12 + 54
LHS = 66
LHS ≠ RHS
So, this is not a required equation.
b. 2x + y = 36
LHS = 2(3) + 9
LHS = 6 + 9
LHS = 15
LHS ≠ RHS
So, this is not a required equation.
c. 4x + y = 21
LHS = 4(3) + 9
LHS = 12 + 9
LHS = 21
LHS = RHS
this is the required equation.
d. -3x + 4y = 33
LHS = -3(3) + 4(9)
LHS = -9 + 36
LHS = 27
LHS ≠ RHS
So, this is not a required equation.
e. 3x + 2y = 28
LHS = 3(3) + 2(9)
LHS = 9 + 18
LHS = 27
LHS ≠ RHS
So, this is not a required equation.
Therefore, the reuired equation is 4x + y = 21
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*PLEASE PLEASE HELP I WILL MARK THE BRAINLIEST*
Write an expression equivalent to 3n2 + 12n that is a product of two expressions.
Enter numbers, variables, or expressions in the boxes.
Answer:
3n(n + 4) = 0
n = 0, -4
Step-by-step explanation:
3n(n + 4) = 0
3n = 0
n = 0
n + 4 = 0
n = -4
Answer:
Step-by-step explanation:
3n2 + 12n factors into (3n)(n + 4n).
1. Write 7 example of mathematical expreion. 2. Larry had 5 3/6 yard of fabric. He ued 2 2/3 to make a bag for hi computer. Write an expreion that will how how much of the fabric Larry will have left. PLEASE HURRY UPPPPP!!! I HAVE 1 HOUR LEFT UNTIL SUBMISSION!!!
a) 7 examples are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
b) Fabric Larry will have left after using [tex]2\frac{2}{3}[/tex] yard out of [tex]5\frac{5}{6}[/tex] yard to make a bag for his computer is: [tex]3\frac{3}{6} yard[/tex]
What kinds of expressions are examples?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
7 examples of mathematical expression are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
For the second part of the question:
Larry had 5 3/6 yards of fabric. He used 2 2/3 yards to make a bag for his computer. Write an expression that will show how much of the fabric Larry will have left.
The mathematical expression that represents the amount of fabric Larry has left is:
5 3/6 - 2 2/3 = 2 7/18
You can simplify this further:
2 7/18 = 2 1/6
The amount of fabric Larry will have left is 2 1/6 yards.
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Help me ASAP!!!! Please asap!!! I will give 50 points for the correct answer!
Answer:
10
Step-by-step explanation:
The equation of a triangle is that all the angles add up to 180°.
So,
180 = 90 + 27 + (6x+3)
180 = 117 + (6x+3)
( Subtract 117)
63 = (6x+3)
( Subtract 3)
60 = 6x
( Divide by 6)
10 = x
Why is Avogadro's number 6.02 x10 23?
The value of Avogadro's number is 6.02214076 × 10²³. The ratio of the actual mass of an element to its atomic mass is always constant which is known as Avogadro's number.
What is one mole?
One mole consists of an Avogadro number of atoms. If you are aware of the mole quantity, you can convert a mole into grams.
The mole (symbol: mol) is the unit of material quantity used by the International System of Units. The amount of a substance determines how many elementary entities of that substance are present in an object or sample. The mole must contain precisely 6.02214076×10²³ elementary entities.
The proportionality factor that connects the number of constituent particles (often molecules, atoms, or ions) in a sample with the amount of material in that sample is called the Avogadro constant, also known as NA or L. It has a precise value of 6.02214076 × 10²³ reciprocal moles and serves as a SI defining constant.
It shows how many atoms or molecules make up one gram of an element's or compound's molecular weight. The value is "6.022 × 10²³" when the atomic mass of an element is divided by the actual mass of its atom.
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Write the equation of the line that passes through the point (-9, 5) and is parallel to the line y = -1/3x - 4.
Answer:
i just found the link ill post it under your question hold up
Step-by-step explanation:
i neeeed helpppppppppppppp
Answer:
y = -3x + 5/2
Step-by-step explanation:
y = -3x + 5/2
How do you find the missing side of a triangle?
The missing sides of the triangle can be found by applying the Pythagoras Theorem .
What is Pythagoras Theorem ?
The Pythagoras Theorem states that square of hypotnuse (that is longest side) is equal to sum of the square of perpendicular and base .
that means : [tex]Hypotnuse^{2} = Perpendicular^{2} +Base^{2}[/tex] ;
let missing side of the Right triangle be hypotnuse ;
So , missing side is written as : [tex]Hypotnuse = \sqrt{Perpendicular^{2} +Base^{2}}[/tex] .
For Example : Let a right triangle has sides lengths of perpendicular = 6 and hypotnuse = 10 .
let , the length of side "base" be unknown.
So , in order to find length of side b (base) , we substitute the known values into Pythagoras theorem:
[tex]10^{2} =6^{2} +Base^{2}[/tex] ;
[tex]Base = 100-36[/tex] ;
So , missing side "base" is = 8 ;
Therefore , the missing side can be found by using the Pythagoras Theorem .
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Which negative angle is equivalent to a 75° angle?
O A. An angle measuring -105°
B. An angle measuring -275°
C. An angle measuring -75°
D. An angle measuring -285°
Answer:
maybe c?... I'm sorry that's just my educated guess..
what is the answer for -40= -50 + x ?
Answer:10
Step-by-step explanation: Because negative 40 equals -50 + x equals 10
Shelley drew a scale drawing of a neighborhood park. The volleyball court, which is 8 meters wide in real life, is 4 millimeters wide in the drawing. What is the scale factor of the drawing?
Simplify your answer and write it as a fraction.
I need IXL answer's PLEASE
The scale factor of the drawing of the neighborhood park would be = 2000.
What is a scale factor?The scale factor is defined as the ratio between the scale of the original object and the new object, which represents it but in a different size (larger or smaller).
The width of the neighborhood park. in real life = 8 meters
To convert 8 meters to millimetres is to multiply by 1000
= 8 × 1000 = 8000 mm
The scale factor = 4 × X = 8000
make X the subject of formula;
X = 8000/4
X = 2000.
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A researcher compares the effectiveness of two different instructional methods for teaching anatomy. A sample of 293 students using Method 1 produces a testing average of 82.9. A sample of 282 students using Method 2 produces a testing average of 76.5. Assume that the population standard deviation for Method 1 is 7.97, while the population standard deviation for Method 2 is 6.66. Determine the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2. Step 2 of 3 : Calculate the margin of error of a confidence interval for the difference between the two population means. Round your answer to six decimal places. g
The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as calculated from the given data is 5.20 and 7.60.
The confidence interval for the difference of the population mean is calculated as,
CI = ( x1 - x2 ) +- z x √SD1²/n1 + SD2²/n2
= ( 82.9 - 76.5) +- 1.96 x √7.97²/293+ 6.66²/n2.82
=6.4 ± 1.199
=(v5.201 , 7.599)
therefore , approximately 5.20 , 7.60 .
Therefore , the confidence interval between them is found to be as , ( 5.20 , 7.60 ) answer.
The confidence interval is a calculation based on the statistics of the observed data that estimates the amount of uncertainty associated with a sample.
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When a positive number is multiplied by the sum of twice the number and half the number, the result is the original number. What is the number
By setting up the equation and solving we get the positive number is 2/5.
What is positive number?A positive number is a number greater than zero. In mathematical terms, it is a number that is greater than zero on the number line. Positive numbers are often represented with a "+" sign in front of them, but this is not always necessary as the positive sign is the default and is usually omitted.
What is equations?An equation is a mathematical statement that asserts the equality of two expressions. It is a statement that asserts that the two expressions on either side of the "=" sign are equal and have the same value. The expressions on either side of the "=" sign are called the left-hand side (LHS) and the right-hand side (RHS) of the equation.
For example:
2x + 3 = 7
x(2x+x/2)=x
2x^2+x^2/2=x
5x^2/2=x
5x^2=2x
5x=2
x=2/5
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What is the measure of ∠A if it is complementary to ∠B that has a measure of 55?
For the given complementary angles, the measure of angle A is found to be 45°.
Define the term complementary angles?When two angles' measurements add up to 90 degrees, they are said to be complimentary. When two angles' measures sum up to 180 degrees, they are referred to as supplementary angles.When two angles sum up to 90 degrees, they are complementary (a Right Angle). They don't even have to be close to one another for the total to be 90 degrees. Examples: The complimentary angles of 40° and 50°.For the stated question-
Angle A is complementary to Angles B.
So,
Angle A + Angles B = 90°
Angle A + 55° = 90°
Angle A = 90° - 55°
Angle A = 45°
Thus, the measure of angle A is found to be 45°.
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what number goes into 2556 without a remainder
Answer:
Step-by-step explanation:
Factors of 2556 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 213, 284, 426, 639, 852, 1278. There are 17 integers that are factors of 2556. The biggest factor of 2556 is 1278. Positive integers that divides 2556 without a remainder are listed below.
Every number is divisible by itself and 1.
Calculating factors of 2556
2556/1 = 2556 gives remainder 0 and so are divisible by 1
2556/2 = 1278 gives remainder 0 and so are divisible by 2
2556/3 = 852 gives remainder 0 and so are divisible by 3
2556/4 = 639 gives remainder 0 and so are divisible by 4
2556/6 = 426 gives remainder 0 and so are divisible by 6
2556/9 = 284 gives remainder 0 and so are divisible by 9
2556/12 = 213 gives remainder 0 and so are divisible by 12
2556/18 = 142 gives remainder 0 and so are divisible by 18
2556/36 = 71 gives remainder 0 and so are divisible by 36
2556/71 = 36 gives remainder 0 and so are divisible by 71
2556/142 = 18 gives remainder 0 and so are divisible by 142
2556/213 = 12 gives remainder 0 and so are divisible by 213
2556/284 = 9 gives remainder 0 and so are divisible by 284
2556/426 = 6 gives remainder 0 and so are divisible by 426
2556/639 = 4 gives remainder 0 and so are divisible by 639
2556/852 = 3 gives remainder 0 and so are divisible by 852
2556/1278 = 2 gives remainder 0 and so are divisible by 1278
2556/2556 = 1 gives remainder 0 and so are divisible by 2556
A regular square pyramid has base edge b, height h, and slant height l. Three expressions give the surface area, A, of this pyramid. Which expression does NOT?
Answer:
1/3 . Abase . height
Step-by-step explanation:
Please find attached the complete question
a square pyramid is a pyramid that has a square base.
total surface area measures the total area of the surfaces of an object
the formula 1/3 x Area of the base x height is used to calculate the volume of the pyramid and not the surface area
Please help, I’ll give brainliest UwU
Answer:
uwu your answer is c because jake did not like lily during the performance.
Step-by-step explanation:
Answer:
The UWU answer UwU is UwU C UwU owa owa
ILL GIVE BRAINLIEST PLS HELP IMMEDIATELY -- The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 4. Approximately what percent of the trees are between 20 and 30 years old? (2 points)
Answer:
79%
Step-by-step explanation:
Most of today's student calculators have built-in statistical functions. I will use my old TI-83 Plus here:
normalcdf(20, 30, 25, 4)
The calculator returns 0.789.
Approximately 79% of the trees are between 20 and 30 years old
Answer:
68%.
Step-by-step explanation:
The mean is 25 and the standard deviation is 5. So 20 is one standard deviation below the mean and 30 is one standard deviation above the mean.
According to the Empirical Rule, 68% of the normal curve is between ±1 standard deviations. So the answer is 68%.
2) Jenny has a water tank that needs to be
filled up. The water tank can hold 500 gallons
of water. She adds 20 gallons of water every
hour. How many hours does it take for Jenny
to be able to fill up the tank?
It will take 25 hours for Jenny to fill up the tank.
To solve this problem, we divide the capacity of the tank by the rate at which it is being filled:
500 gallons / 20 gallons/hour = <<500/20=25>>25 hours
HELP DUE IN 15 MINS!
Quadrilateral DAVE has vertices D(2, 2), A(4, 2), and V(5, -3). Plot a point E to make DAVE an isosceles trapezoid.
1. What are the coordinates of E ( , )??
Answer:
i believe it's (1, -3)
hope it helps!
A 140 meter rope is cut into two pieces. One piece is four time as long as the other. How long is each piece? Solve using substitution or elimination.
Answer:
28 m, 112 m
Step-by-step explanation:
x = length of short piece
4x = length of long piece
x + 4x = 140
5x = 140
x = 140/5 = 28
4x = 4(28) = 112
Angle A and Angle B are complementary angles. The measure of Angle A is twice the measure of Angle B.
Write and equation to represent the complementary angle relationship between Angle A and Angle B. Use the equation to find
the measure of Angle A and B. Show all of your work.
Answer:
Acc.to question,
A+B=90° (since,they are complementary angles)
or,A+ A/2=90°(since,A is. twice the measure of B)
or,3A/2=90°
or,A=(90°×2)/3
:.A=60°
Also,
B=A/2=60/2=30°
Which equation represents a linear function?
y – 2 = –5(x – 2)
x + 7 = –4(x + 8)
y – 3 = y(x + 4)
y + 9 = x(x – 1)
A bakery sells yesterday's bagels for a discounted rate of $2.64/dozen. What is the price per bagel?
Answer:
$0.22 per bagel
Step-by-step explanation:
A dozen is 12:
2.64/12 = 0.22
What 3 numbers make a right triangle?
Answer:
A right triangle equals to 90 degress, and has 2 equal angles.
Example: 20 degress, 20 degrees and 50 degress could make a right triangle.
I hope this helps you!
The school surveillance camera was able to capture an image of the suspect. The image
shows the thief standing next to the gym door. In real life the door measures 84 inches but
is 14 cm in the image. If your suspect is 10.83 cm in the photo. How many inches tall are
they in real life? (Round to nearest whole inch.) Report the height in feet and inches. Ex.
"2 feet 5 inches"
Answer:
77.4 inches
6 feet 4 inches
Step-by-step explanation:
what persent of 14 is 10.83 is 77.35
what persent of 84 is 77.3571428571 is 92.08
what is 92.08% of 84 is 77.34
77.34 inches to feet is 6 feet and 4 inches
A scooter shop is offering a 30% discount on all of its scooters. Shirley buys a scooter that had an original price of $840. What was the discounted price of the scooter?
Answer:
$588Step-by-step explanation:
Original price = $840
Discount = 30%
Discounted price is:
$840 - 30% of $840 =$840*0.7 = $588A glass is 2/3 full. Then 40cm^3 of orange juice is poured in. The glass is now 4/5 full What is the total volume of the glass?
Answer:
The total volume of the glass is 300 cm^3.
Step-by-step explanation:
Let V represent the total glass volume.
Then (4/5)V - (2/3)V = 40 cm^3. The LCD here is 15, so we rewrite this equation as
(12/15)V - (10/15)V = 40 cm^3, or
(2/15)V = 40 cm^3.
Solve for V by multiplying both sides of this equation by (15/2):
(15/2)(2/15)V = (15/2)(40 = 300 cm^3
The total volume of the glass is 300 cm^3.