Answer:
[tex]2x - 25 = 87 \\ 2x = 87 + 25 \\ 2x = 112 \\ \frac{2x}{2} = \frac{112}{2} \\ x = 56[/tex]
I USED THE REASON ALTERNATE ANGLES ARE EQUAL
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Answer:
B) To make a right triangle in the center, the area of the smaller two square must add to equal the area of the largest square
Step-by-step explanation:
1) add the area of the two smaller squares together
f^2= 9
g^2 = 16
9+16=25
2) compare the sum of the two squares to the larger square (the hypotonus)
h^2= 25 so, f^2 + g^2 = h^2
3) The area of the smaller squares is equal to the area of the larger square, therefore b is the correct answer.
After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an even layer over an empty lot with dimensions 30 yards by 64 yards, about how deep, in yards, would the layer of dirt be?
A.Less than 1
B.Between 1 and 2
C.Between 2 and 3
D.Between 3 and 4
E.More than 4
The layer of dirt would be between 3 and 4 yards and precisely 3.6458 yards.
Given the volume of the lot is 7000 cubic yards.
After spreading to an even layer
The dimension is 30 yards and 64 yards
The volume of the lot can be given as Length x Width x Depth
Let us say the depth of the lot is x
Which means
30 x 64 x X = 7000
1920 x X = 7000
X = 3.6458
Hence the depth of the lot is 3.6458 which is between 3 and 4.
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Use digits and symbols to write ''the product of one and two is less than the sum of one and two'' pls help
The correct answer is: " 1 * 2 < 1 + 2 ".
____________
Step-by-step explanation:
The following text provides a detailed explanation of how one can reach the answer.
______
We are given: "{Use digits and symbols to write ''the product of one and two is less than the sum of one and two'' pls help}."
______
Okay; First, relax. Then:
Second: Note the following parts of the Actual Brainly Question:
1) "Use digits and symbols" to.. (represent this word problem/inequality).
2) Write down the following—including the "blanks" :
{The product of _____ is less than the
sum of ____ " ;
3) Then, Refer to: "{The product of 1 and 2 is less than...}" ;
Note: The "{product of 1 and 2}" ; indicates multiplying " 1" by " 2" ;
→ {e.g. to get the product; that is; to get the value when multiple numbers [i.e. "two or more numbers"] are multiplied.}.
When one multiplies " 1 " by "2", the product is "2" ;
[since: " 1 * 2 = 2 "] ; yet, for our purposes, we shall write:
→ " 1 * 2 " ;
______
Then: Note that this ^[product of 1 and 2) is "less than...{something}..." ;
Let's start by writing a "less than symbol { < }" ;
→ " 1 * 2 < ? " ;
Then, go back to the problem and note:
" {...is less than "the sum of one and two"} " ;
Take note of the phrase: "[the sum of one and two]" ;
We can write this as: " 1 + 2 " ;
⇒ " the sum [of]..." indicates addition; that is, adding values [together] .
So; we can write this inequality by using digits and symbols; as follows:
→ " 1 * 2 < 1 + 2 " ; which is our answer.
______
{ For potential interest:
One could simplify each side of the equation:
1 *2 =2 ; 1 + 2 = 3 ; 2 < 3 ; which does hold true!
However, the actual question never specifically states to simplify}.
As aforementioned:
→ " 1 * 2 < 1 + 2 " ; is our answer!
______
Hope this lengthy explanation is helpful!
Wishing you the best!
______
answer
The correct answer is: " 1 * 2 < 1 + 2 ".
____________
Step-by-step explanation:
The following text provides a detailed explanation of how one can reach the answer.
______
We are given: "{Use digits and symbols to write ''the product of one and two is less than the sum of one and two'' pls help}."
______
Okay; First, relax. Then:
Second: Note the following parts of the Actual Brainly Question:
1) "Use digits and symbols" to.. (represent this word problem/inequality).
2) Write down the following—including the "blanks" :
{The product of _____ is less than the
sum of ____ " ;
3) Then, Refer to: "{The product of 1 and 2 is less than...}" ;
Note: The "{product of 1 and 2}" ; indicates multiplying " 1" by " 2" ;
→ {e.g. to get the product; that is; to get the value when multiple numbers [i.e. "two or more numbers"] are multiplied.}.
When one multiplies " 1 " by "2", the product is "2" ;
[since: " 1 * 2 = 2 "] ; yet, for our purposes, we shall write:
→ " 1 * 2 " ;
______
Then: Note that this ^[product of 1 and 2) is "less than...{something}..." ;
Let's start by writing a "less than symbol { < }" ;
→ " 1 * 2 < ? " ;
Then, go back to the problem and note:
" {...is less than "the sum of one and two"} " ;
Take note of the phrase: "[the sum of one and two]" ;
We can write this as: " 1 + 2 " ;
⇒ " the sum [of]..." indicates addition; that is, adding values [together] .
So; we can write this inequality by using digits and symbols; as follows:
→ " 1 * 2 < 1 + 2 " ; which is our answer.
______
{ For potential interest:
One could simplify each side of the equation:
1 *2 =2 ; 1 + 2 = 3 ; 2 < 3 ; which does hold true!
However, the actual question never specifically states to simplify}.
As aforementioned:
→ " 1 * 2 < 1 + 2 " ; is our answer!
______
Hope this lengthy explanation is helpful!
Wishing you the best!
______
what will be the value of k so that the equation [tex]kx^{2} -4x+1[/tex] has two equal roots (same roots)
The value of k that will make the quadratic equation kx² - 4x + 1 = 0 to have two equal roots is; k = 4
What are the roots of the Quadratic Equation?The general form of representing a quadratic equation is;
ax² + bx + c = 0
Now, we are given the quadratic equation which is;
kx² - 4x + 1 = 0
Now, for a quadratic equation to have 2 equal roots, it means that;
b² = 4ac
Thus, applying that to our given quadratic equation gives us;
(-4)² = 4(k * 1)
4k = 16
k = 4
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Two APs have the same first and last terms. Tye first AP has 21 terms with a common difference of 9. How many terms has the other AP if it's common difference is 4
The number of terms of the second arithmetic progression is 46.
How to find the number of terms of an arithmetic progression?The two arithmetic progression have the same first and last terms.
The first arithmetic progression has 21 terms with a common difference of 9.
The second arithmetic progression have common difference of 4.
Therefore,
using the first arithmetic progression,
a + (n - 1)d = nth term
a + 20(9) = last term
last term = a + 180
using the second arithmetic progression,
a + (n - 1)d = nth term
They have the same last and first term,
Hence,
a + 180 = a + (n - 1)4
a + 180 = a + 4n - 4
180 + 4 = 4n
184 = 4n
n = 184 / 4
n = 46
Therefore, the number of terms is 46
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a ladder 25 feet long is leaning against the wall of a building. initially, the foot of the ladder is 7 feet from the wall. the foot of the ladder begins to slide at a rate of 2 ft/sec, causing the top of the ladder to slide down the wall. the location of the foot of the ladder, its x coordinate, at time t seconds is given by x(t)
The approximate value of x(t), which indicates the location of coordinate the ladder's foot at time t seconds, is 6.85. 7
What in math is a coordinate?Coordinates are numerical lengths or angles that uniquely identify locations on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicses, scientists, and engineers frequently employ a variety of coordinate systems.
The location in the cartesian plane will be determined by the coordinate points. A point's distance from the y axis is known as the x-coordinate, also known as the abscissa, and its distance from the x-axis is known as the y-coordinate, also known as the ordinate.
based on the information provided,
x = the distance between the wall and the bottom of the ladder
y = distance of the top of the ladder from the ground
x² + y² = 25²
x² + 7² = 25²
x² = 625 -49 = 429
y = √576
Differentiating the equation with respect to time t gives
2x dx/dt + 2y dy/dt = 0
dx/dt = -y dy/dt / x
= -√576 * (2) / 7
= 6.85 feet per second approximately.
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please help, if you can answer this correctly and put your explanation i will give brainliest
The error Julius made in his explanation is using the area of a rectangle as the longest side instead of area of a square.
Pythagorean theoremPythagorean theorem is the sum of the square of opposite and adjacent sides which result in the sum of the square of the hypotenuse of a triangle.
c² = a² + b²
Where,
c = hypotenusea = oppositeb = adjacentThe error Julius made in his explanation is using the area of a square as the hypotenuse. The figure he used to represent the longest side (hypotenuse) is a rectangle.
The correct working should be:
c² = area of square a + area of square b
c² = 25 + 16
c² = 41
find the square root of both sidesc = √41
c = 6.40312423743
Approximately,
c = 6.4
In conclusion, Julius made the mistake of representing the longest side with area of a rectangle instead of a triangle.
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The length and width of a rectangle are consecutive integers. The perimeter of the rectangle is 42 centimeters. Find the length and width of the rectangle.
the length of the rectangle is 10 cm and the width of the rectangle is 11 cm.
We are given that the length and the width of a rectangle are consecutive integers.
Let the length be x
Width = x + 1
Now, we are also given that perimeter is:
P = 42 cm
We know the formula for perimeter of a rectangle is:
P = 2( l + w)
Substituting the values in the formula, we get that:
42 = 2( x + x + 1)
42 = 2 (2 x + 1)
42 = 4 x + 2
4 x = 40
x = 40 / 4
x = 10
length = 10 cm
width = 10 + 1 = 11 cm
Therefore, we get that, the length of the rectangle is 10 cm and the width of the rectangle is 11 cm.
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Two light bulbs are selected at random from a large batch of bulbs in which 5% are defective. Find the probability that:
a. Both bulbs are defective
b. At least one bulb works
Answer:
a) 0.25% b) 99.75%
Step-by-step explanation:
the chance that one bulb is defective is 0.05, so two bulbs being defective has a chance of 0.05 * 0.05 which equals 0.25%
For at least 1 bulb to work, both bulbs can't be broken. We already know that the chance for both bulbs being broke is 0.25%, so 100%-0.25% would equal the chance that at least one light bulb works, which is 99.75%
Work out the value of f/5 when f = 20.
Answer: The value of f/5 is 4.
Step-by-step explanation: This question can be solved by using substituting the value of f( which is 20) in the earlier given expression ( which is f/5).
Here are the steps to solve this question:-
Step 1. Expression = f/5 ( according to the question)
Step 2. Value of f=20 ( according to the question)
Step 3. Using the value of f in step 2 in the equation given in step 1,
f/5=20/5
f/5=4
Thus, the value of expression f/5 is 4.
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A rectangular box has a volume of 72x cubic inches. The width of the rectangular box is x inches, the legth is 3x inches, and the hieght is (3x-1) inches.
a. Write a polynomial that represents the volume of the retangular box.
b. What are the dimentions of the rectangular box?
The polynomial that represents the volume of the rectangular box is 3x² - x - 24 = 0
The dimension of the rectangular box are 9 inches, 8 inches and 3 inches.
How to find volume of a rectangular box?The volume of the rectangular box can be expressed as follows:
volume of the rectangular box = l w h
where
l = length of the rectangular boxw = width of the rectangular boxh = height of the rectangular boxTherefore,
w = x inches
l = 3x
h = 3x - 1
volume of the rectangular box = 72x
Therefore, the polynomial that represents the volume of the rectangular box is as follows:
72x = 3x × x × (3x - 1)
72x = 3x²(3x - 1)
72x = 9x³ - 3x²
9x³ - 3x² - 72x = 0
3x(3x²- x - 24) = 0
3x² - x - 24 = 0
Therefore,
x = 3 or - 8 / 3
we can only use positive values.
Hence, the dimension of the rectangular box is as follows:
w = 3 inches
l = 3(3) = 9 inches
h = 3(3) - 1 = 8 inches
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Which of the following statements best describes the value of the expression 18x – 35, when x = 2?
A. The result is not a whole number.
B. The result is a prime number.
C. The result is a composite number.
D. The result is a whole number that is neither prime nor composite.
7TH Grade Math!
The statements which best describes the value of the expression 18x – 35, when x = 2 is that the result is a whole number that is neither prime nor composite and is denoted as option D.
What is a Prime number?This is referred to as the number which is divided by one and itself and there must be exactly two numbers involved.
18x – 35 = 18(2) – 35
= 36 - 35 = 1
In the case of 1, the numbers involved is just one which 1 which is why it isn't regarded as a prime number. A composite number can be formed with two small integers and the formation of 1 is 1 × 1 which is why 1 isn't.
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Answer:
The Answer Is: D.! The Results is A Whole Number That is Neither Prime nor Composite
Step-by-step explanation:
Hope This Helped! You Have a Great Day!
I NEED ANSWERS ASAP!!
Fill in the blanks to explain what needs to be done in the current step to get to the next step.
3x +4 2x +9=17-x
Step 1: 3x +4- 2x +9 = 17-x
Step 2: x +13= 17 -x
Step 3: x + x +13= 17-x+ x
Step 4: 2x +13= 17
Step 5: 2x + 13 - 13 = 17-13
Step 6: 2x = 4
Step 7: x = 2
f{x) = a (x − a}² + 1]
In the function f defined above, a > 1. Which of the
following best represents the graph of f in the
xy-plane?
Step-by-step explanation:
1 f(x) = ax (x − a)² + 1
Take the derivative
f'(x) = d/dx ( a x( x -a) ²+1
Use differentiation rules
f' x = ax2 x-a +0
Simplify
= f'(x)=2ax-2a²
answer
Under her cell phone plan, Genesis pays a flat cost of $40.50 per month and $5 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes, she would have to pay for 3 whole gigabytes.) She wants to keep her bill under $55 per month. What is the maximum whole number of gigabytes of data she can use while staying within her budget?
Using mathematical operations, the maximum whole number of gigabytes of data Genesis can use while staying within her budget is 2GB.
What are mathematical operations?Mathematical operations are used in mathematical functions to produce a defined output.
Some of the mathematical operations include addition, subtraction, multiplication, division, exponentiation, and modulus operations.
In this situation, we used the mathematical operations of subtraction, division, addition, and multiplication to determine Genesis's data maximum usage that does not exceed her budget.
Fixed cost per month = $40.50
Usage rate per gigabyte or part thereof = $5
Budgeted bill = $55 per month
Maximum gigabyte usage per month = 2.9 {($55 - $40.50) ÷ $5}
But Genesis cannot use 3GB but only 2GB because 3GB will make her total bill exceed her budget.
Check:
Cost of using 3GB = $55.50 ($40.50 + $5 x 3)
Cost of using 2GB = $50.50 ($40.50 + $5 x 2)
Thus, for Genesis to maintain her data plan within budget, the maximum she can spend is 2GB.
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complete the pattern 0, 20, 40, 60, _, _
Step-by-step explanation:
0 20 40 60 80 100.................
In the formula: c = πd
c represents the circumference of a circle (distance around)
is a number that is approximately equal to 3.14
d represents the diameter of a circle (distance across)
Solve the formula for d when c = 25.12 inches
d = ?
The value of d i.e. the diameter will be 8 inches when the circumference is 25.12 inches.
What is diameter and circumference of a circle?The distance a circle's circumference extends from one end to the other is known as the diameter.
The circumference of a circle is the distance of its outer length.
According to the formula, c = πd, c is the circumference of the circle and d is the diameter of the circle.
Value of π is 3.14
When c = 25.12 inches, the value of d will be
d = c/π
d = 25.12/3.14
d = 8 inches
The diameter will be 8 inches when circumference is 25.12 inches.
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Find the equation of the line that contains The given point and is perpendicular to the given line. Write the equation in slope intercept form, if possible. (14,21); y = -7x + 4
Answer: [tex]y=\frac{1}{7}x+19[/tex]
Step-by-step explanation:
Perpendicular lines have slope that are negative reciprocals, so the slope of the line we want to find is 1/7.
The equation in point-slope form is [tex]y-21=\frac{1}{7}(x-14)[/tex].
Rearranging into slope-intercept form,
[tex]y-21=\frac{1}{7}x-2 \\ \\ y=\frac{1}{7}x+19[/tex]
can anyone please help me with quetion c
Answer: The arrow is pointing to 76.5.
Step-by-step explanation: It's pointing to 76.5 because there are 10 spaces between 75 and 80 so in that case, each line is .5, and since it's on the third line that means it is 1.5 more than 75 so 76.5.
Answer:
C) The arrow points to 76.5.
Step-by-step explanation:
The number line is divided into 10 parts equally.
We can find out the distance between each point by taking the difference between the largest and smallest number on the number line and dividing the difference by 10.
80 - 75 = 5
5/10 = .5
So, the distance between each number/mark on the line is .5
Now, we can label each point by adding .5 to each mark as we go. Then, we'd get this.
*see attachment below
Since the number line constructed here has all the values, we can now tell which value the arrow is pointing to.
The answer is therefore 76.5.
if an organization wants to test whether a minority of its employees are dissatisfied with their bonuses, the null hypothesis would be that the true population proportion would be:
if an organization wants to test whether a minority of its employees are dissatisfied with their bonuses, the null hypothesis would be that the true population proportion would be equal to 0.5
This is further explained below.
What is the null hypothesis?Generally, The null hypothesis is a common kind of statistical theory that proposes there is no statistical link and significance between two sets of observed data and measurable phenomena in a set of provided single observable variables.
In conclusion, In the event that a company is interested in determining whether or not a subset of its workers are unsatisfied with the incentives they get, the null hypothesis would state that the actual population percentage would be equal to fifty percent.
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CQ
If an organization wants to test whether a minority of its employees are dissatisfied with their bonuses, the nult hypothesis would be that the true population proportion would be: less than 5 OOOO greater than 5 not equal to 5 .5
Find the inequality represented by the graph
The inequality representing the shaded region is given by 2y - x < 4.
What is meant by the term inequality?A statement of an order relationship between two numbers or algebraic expressions (greater than > , greater than or equal to ≥, less than < , or less than or equal to ≤). Inequalities can be expressed as questions, similar to equations, and solved using similar methods, or as factual statements in the type of theorems.For the given question, the graph is shown,
Consider two coordinates from the graph and find the slope using them.
(x₁, y₁) = (0, 2)
(x₂, y₂) = (4, 4)
slope m = (y₂ - y₁)/(x₂ - x₁)
Put the values.
m = (4 - 2)/(4 - 0)
m = 1/2
Put the value of slope in the equation of line in slope intercept form.
y - y₁ = m(x - x₁)
Put the values;
y - 2 = 1/2(x - 0)
Simplifying;
2y - 4 = x
2y - x = 4
Now, from the graph, as the origin of the coordinate axis and the shaded region region of the graph lies on the same side, the inequality is less than.
2y - x < 4, only less than as the graph is made with dotted lines.
Thus, the inequality representing the shaded region is given by 2y - x < 4.
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Rachel is making premade 3-inch by 5-inch tile rectangles for her driveway. If it takes her 6 minutes to position each rectangle, how many hours will it take her to create a 2-foot by 4-foot pattern drive? Write your answer as a decimal.
This is a Metric conversion problem. Note that it will take 38.4 minutes to create a 2-foot by 4-foot pattern drive. See the explanation below.
What is the calculation justifying the above answer?There are several ways to do this. Let's use the area of the times and that of the pattern drive.
Note that the area of the 3inch by 5-inch tile =
Area of a rectangle
L x B =
3 x 5
= 15inches
Applying the same rule to the pattern drive, we have
2 x 4
= 8 foot
Note that 1 foot = 12 inches
For convenience, thus, we convert the area of the pattern drives into inches. This gives us:
8 x 12
= 96 inches
To get how many minutes it will take to create a 2 by 4-foot pattern drive, we have
Recall that it takes 6 minutes to lay a 3x5 which is 12 inches in area.
Hence,
96/15
= 6.4
6.4 x 6
= 38.4 minutes.
Hence, it will take Rachel 38.4 minutes to lay a 2 by 4-foot pattern drive given the parameters above.
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someone pls help i need this
PLS HELP WILL GIVE 20 POINTS AND BRAINLIEST!! ASAP!!!!
Answer:
1/4
Step-by-step explanation:
17/20, 14/20, 11/20, 8/20, 5/20
5/20 = 1/4
Grace's height is 1.45 m. Jackson is 0.2 m shorter than Grace. What is
Jackson's height? Give your answer in metres (m).
By using the method subtraction, Jackson's height is 1.25m.
What is subtraction?To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.
Given that,
Grace's height is 1.45 m.
Jackson is 0.2 m shorter than Grace.
Jackson's height is 1.45 -0.2 = 1.25
Therefore, Jackson's height is 1.25m.
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Select the correct answer.
If the graph of f (x) = |x| is shifted to the left 2 units, which function describes the graph of the new function?
A) g(x) = |x| + 2
B) g(x) = |x| - 2
C) g(x) = |x + 2|
D) g(x) = |x - 2|
The correct option is D) g(x) = |x - 2| for the shifting of graph of f (x) = |x| is shifted to the left 2 units.
What is described as the translation of function?In geometry, translation refers to a function which moves an element a specified distance. The element is not otherwise altered. It has not been rotated, mirrored, or resized.Every point of an element must be transitioned in the exact same direction and at the same distance during a translation.When performing a translation, this same initial object is referred to as the pre-image, as well as the object after translation is referred to as the image.For the given question, the function is given as;
f(x) = |x|
There is a shifting of 2 units towards the left, it means there is shift on the x-axis toward the negative x-axis.
Then, value of x will be reduced by 2 units, which is given by function.
g(x) = |x - 2|.
Thus, the function which correctly described shifting of 2 units left is g(x) = |x - 2|.
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Answer:The correct option is D) g(x) = |x - 2| for the shifting of graph of f (x) = |x| is shifted to the left 2 units.
Step-by-step explanation: I did it on plato.
What are “a” and “b” for each of the following exponential function
1. y= -4•2^x a= b=
2. y= (0.2)^x. a= b=
Answer:
Step-by-step explanation:a-t457 =e36_0uh
A jury pool consists of 27 people, 20 men and 7 women. Compute the probability that a randomly selected jury of 12 people is all male.
Using combinations, the probability that a randomly selected jury of 12 people is all male is 0.00781.
What are combinations?Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order. Permutations and combinations can be mixed up.
Given,
Jury pool consists of 27 people, 20 men and 7 women
the probability that a randomly selected jury of 12 people is all male =
[tex]\frac{^{20}C_{12} }{^{27}C_{12} }[/tex] = [tex]\frac{20!}{12! 18!}[/tex] × [tex]\frac{12! 15!}{27!}[/tex]
On solving,
⇒ 1/128
= 0.00781
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A random number generator is used to create a list of 150 single-digit numbers. Of those 150 numbers, 72 are odd and
78 are even. The number 9 was generated 15 times.
To the nearest whole percent, what is the experimental probability of an odd number other than 9 being generated?
The experimental probability of an odd number other than 9 being generated is 0.38.
What is probability?Probability refers to potential. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
According to the probability formula, the probability of an event occurring, or P(E), is equal to the proportion of positive outcomes to all outcomes. P(E) is defined mathematically as favorable outcomes divided by total outcomes.
Given Data
A random number generator is used to create a list of 150 single-digit numbers. Of those 150 numbers, 72 are odd and 78 are even. The number 9 was generated 15 times.
Total numbers generated = 150
Odd numbers = 72
Even numbers = 78
Generation of number 9 = 15
Number of odd numbers except 9 itself
= 72 -15
= 57
Probability = [tex]\frac{Odd numbers except 9 itself}{total munbers}[/tex]
Probability = [tex]\frac{57}{150}[/tex]
Probability = 0.38
The experimental probability of an odd number other than 9 being generated is 0.38.
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radius 8 height 16what is the area of the base of the finger. use 3.14 for pi
Answer: 60.96 pi or just 60 pi rounded to the nearest whole and the base is a circle , the shape is a cylinder
Step-by-step explanation: