After answering the presented question, we can conclude that Yes, equation formal rules is a characteristic that fits with the mechanistic factor in organizational design.
What is equation?In mathematics, an equation is a proposition that states the equivalence of two expressions. An equation consists of two sides separated by a system of equations (=). For instance, the statement "2x + 3 = 9" states that the word "2x Plus 3" equals the integer "9". The goal of solving equations is to find the value or amounts of the variable in the model) that will permit the calculation to be accurate. Mathematics can be simple or complex, linear or nonlinear, and contain one or more parts. For example, in the equation "x2 + 2x - 3 = 0," the variable x is raised to the power of 2. Lines are used in many areas of mathematics, including algebra, arithmetic, and geometry.
Yes, formal rules is a characteristic that fits with the mechanistic factor in organizational design.
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A certain virus infects one in every 300 people. A test used to detect the virus in a person is positive
90% of the time if the person has the virus and 5% of the time if the person does not have the virus.
(This 5% result is called a false positive.) Let A be the event "the person is infected" and B be the
event "the person tests positive",
a) Find the probability that a person has the virus given that they have tested positive, i.e. find
P(A|B). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A|B)=
%
b) Find the probability that a person does not have the virus given that they test negative, i.e. find
P(A'|B'). Round your answer to the nearest tenth of a percent and do not include a percent sign.
P(A'|B')=
Answer:
b i think let me know if im right
Step-by-step explanation:
What is the bill of a house that consumed 1000 units of electricity,if the first 100 units are charged $10.00 per unit and the remaining units at $5.00 per unit?
Answer:
$14500
Step-by-step explanation:
$10 per unit means 1 unit is equivalent to 10 dollars.
∴Unit multiplier = [tex]\frac{10 dollars}{unit}[/tex]
$5 per unit means 1 unit is equivalent to 5 dollars
∴Unit multiplier = [tex]\frac{5 dollars}{unit}[/tex]
Remaining units = 1000 - 100 = 900 units
The unit multipliers are arranged in such a way that the "units” in the numerator and denominator will cancel each other out leaving us with “dollars” in the numerator. Our answer should be expressed in dollars
since the question requires us to calculate the bill
Bill of the House = Charge of first 100 units + Charge of remaining units
= (1000 units)([tex]\frac{10dollars}{unit}[/tex]) + [(900)units][[tex]\frac{5dollars}{unit}[/tex]]
= $10000 + $4500
= $14500
In ΔQRS, q = 3.9 cm, � m∠S=10° and � m∠Q=74°. Find the length of s, to the nearest 10th of a centimeter.
S thus measures around 2.77 centimetres in length.
What is the purpose of law of sines?The law of sines is frequently used to find the elusive side or angle of a triangle. This law can be used if precise triangle measurement combinations are given. ASA The objective is to identify the unknown side given two angles and an included side.
The Law of Sines can be used to determine the length of side s: s/sin(mS) = q/sin(mQ).
replacing the specified values:
s/sin(10°) = 3.9/sin(74°)
s ≈ sin(10°) × 3.9 ÷ sin(74°)
s ≈ 0.684 × 3.9 ÷ 0.961
s ≈ 2.77 cm (rounded to the nearest 10th)
S thus measures around 2.77 centimetres in length.
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The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 10 to 14.5 on the number line. A line in the box is at 12.5. The lines outside the box end at 5 and 20. The graph is titled Fast Chicken.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
Which drive-thru is able to estimate their wait time more consistently, and why?
Fast Chicken, because it has a smaller IQR
Fast Chicken, because it has a smaller range
Super Fast Food, because it has a smaller IQR
Super Fast Food, because it has a smaller range
The range, which is the distance between the smallest and greatest linear equation values in the data, does not take into account the distribution of the data within that range.
What is a linear equation?In algebra, a linear equation refers to one with its form y=mx+b. B is the gradient, and m is the esta. The preceding clause is commonly referred to as a "linear function with two variables" so even though y and x are variables. Bivariate linear equations are linear equations with two variables. There are several linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation seems to have the structure y=mx+b, where m is the slope and b is the y-intercept, it is said to be linear. When a measurement seems to have the formula y=mx+b, both with m identifying its slope and b denoting the y-intercept, it is said to be linear.
Because it has a lower IQR, Fast Chicken can more consistently estimate their wait time (Interquartile Range). In this case, the IQR is the range of the middle 50% of the data, which is the distance between the first and third quartiles.
Super Fast Food, on the other hand, has a higher IQR, indicating that the data is more dispersed. This means that customers report a wider range of wait times, making it more difficult to estimate a consistent wait time. The range, which is the distance between the smallest and greatest values in the data, is not as useful for measuring consistency in this case because it does not take into account the distribution of the data within that range.
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Select the correct answer. Which number line represents the solution to |x − 21| < 3? A. B. C. D.
Number line that represents the solution to |x − 21| < 3 is C.
Tο sοlve the inequality |x - 21| < 3, we need tο find all the values οf x that are less than 3 units away frοm 21 οn the number line.
Starting frοm 21, we can cοunt 3 units tο the left and 3 units tο the right tο find the interval οf values that satisfy the inequality:
| x - 21 | < 3 can be written as -3 < x - 21 < 3
Adding 21 tο all parts οf the inequality gives:
18 < x < 24
Therefοre, the sοlutiοn tο the inequality is the interval οf values between 18 and 24, excluding the endpοints.
Lοοking at the answer chοices, we can see that οptiοn C represents this interval οf values:
A:
B:
C: |----|----|----|----|----|----|
18 19 20 21 22 23 24
D:
Therefore, the correct answer is C.
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Review the graph of function f(x). On a coordinate plane, a curve starts at open circle (negative 3, negative 2), increases through (negative 1, 0) to (1, 2), and then curves down to closed circle (3, 0). Which statement describes whether the extreme value theorem applies? The extreme value theorem applies, and f(x) has both a minimum and a maximum. The extreme value theorem applies, and f(x) has a maximum but not a minimum. The extreme value theorem does not apply, and f(x) does not have a minimum or a maximum. The extreme value theorem does not apply, and f(x) has a maximum but not a minimum.
The correct answer is "The extreme value theorem applies, and f(x) has both a minimum and a maximum."
What is the extreme value theorem?
The extreme value theorem states that if a function is continuous on a closed interval, then it must have both a maximum and a minimum value on that interval. To determine whether the extreme value theorem applies to the graph of f(x), we need to check if the function is continuous on a closed interval and whether it has a highest and lowest point within that interval.
Looking at the graph of f(x), we can see that the function is continuous on the closed interval [-3, 3] since it has no breaks or jumps. Additionally, the graph has the highest point at (1, 2) and the lowest point at (-3,-2). Therefore, we can conclude that the extreme value theorem applies and that f(x) has both a minimum and a maximum value on the interval [-3, 3].
Therefore, the correct answer is (a) "The extreme value theorem applies, and f(x) has both a minimum and a maximum."
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A function is shown in the table. which equation represents this function?
X: 0,5,10,15
Y: 8,-7,-22,-37
The equation that represents this function is y = -3x + 8
How to determine which equation represents this function?From the question, we have the following parameters that can be used in our computation:
X: 0,5,10,15
Y: 8,-7,-22,-37
A linear relation is represented as
y = mx + c
Where
c = y when x = 0
Using the above as a guide, we have the following:
c = 8
So, we have
y = mx + 8
Using the points on the table, we have
5m + 8 = -7
This gives
5m = -15
m = -3
So, the function is
y = -3x + 8
Hence, the function is y = -3x + 8
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I will mark you brainiest!
What is the area of a triangle with a base of 23 feet and a height of 6 feet?
A) 26 ft2
B) 58 ft2
C) 69 ft2
D) 138 ft2
Answer:
C) 69
Step-by-step explanation:
23 x 6 ÷ 2 =69feet2
ok!
In the figure angle article equal to angle pqs and QS equal to PR. Prove that angle PQR equal and PQS
Hence, in answering the stated question, we may say that As a result, we angles have demonstrated that angle PQR equals angle PQS, assuming that angle article equals angle pqs and QS = PR.
what are angles?An angle is a shape in Euclidean geometry that is comprised of two rays, known as such angle's flanks, that meet at a central location known as the angle's set of vertices. Two rays might combine to generate an angle there in plane in which they are located. An angle is formed when two planes collide. They are known as dihedral angles. In plane geometry, an angle is a potential configuration between two rays and lines that meet a termination. The English name "angle" is derived from the Latin phrase "angulus," which means "horn." The apex is the point at where the two rays, also known also as angle's sides, converge.
It is difficult to propose a specific solution without a diagram or a comprehensive description of the figure. But, based on the facts provided, we can apply the following argument to demonstrate that angle PQR equals angle PQS.
Assuming that angle article equals angle pqs and QS = PR.
To demonstrate: angle PQR = PQS angle.
We know that angle pqs = angle article. This signifies that the two angles are parallel.
We also understand that QS Equals PR. That is, these two line segments are congruent.
As a result, angle PQR equals angle PQS.
As a result, we have demonstrated that angle PQR equals angle PQS, assuming that angle article equals angle pqs and QS = PR.
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For the numbers 683 and 2329, round each number to the nearest hundred. Then find the product of the rounded numbers
683 rounded to the nearest hundred is 700
2329 rounded to the nearest hundred is 2300
The product of the rounded numbers is 1,610,000.
Rounding to the nearest hundred and Product of numbersFrom the question, we are to round the given numbers to the nearest hundred and determine the product of the rounded numbers.
The given numbers are 683 and 2329.
Rounding 683 and 2329 to the nearest hundred gives:
683 rounded to the nearest hundred is 700
2329 rounded to the nearest hundred is 2300
Now, we will determine the product of these rounded numbers.
That is,
The product of 700 and 2300
700 × 2300 = 1610000
Hence, the product of the rounded numbers is 1,610,000.
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Coach Walker has a cooler that can hold 5 1/2 gallons of a sports drink. He fills 3/4 of
the cooler with the sports drink to bring to football practice.
B. How many players can fill their water bottles with the sports drink before the cooler is empty? (1 Gallon = 8 pints)
The answer of the question based on the players can fill their water bottles with the sports drink before the cooler is empty is 15 players.
What is Amount?An amount may refer to quantity of something that can be measured, such as amount of substance or amount of the time.
The cooler can hold 5 1/2 gallons of sports drink, and Coach Walker fills 3/4 of it, which means he fills:
5 1/2 gallons * 3/4 = (5 * 2/2 + 1/2) * 3/4 = 15/4 gallons
We know that 1 gallon equals 8 pints, so we can convert the 15/4 gallons to pints:
15/4 gallons * 8 pints/gallon = 30 pints
Therefore, there are 30 pints of sports drink in the cooler. Assuming each player's water bottle can hold 2 pints of sports drink, we can find how many players can fill their bottles before the cooler is empty by dividing the total amount of sports drink by the amount used by each player:
30 pints / 2 pints/player = 15 players
Therefore, 15 players can fill their water bottles with the sports drink before the cooler is empty.
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will the product of 2 numbers increase or decraese and by what percent if one of them is increased by 50% and the other one is decraesed by 50%
Answer: Let's assume the two original numbers to be x and y.
If one of them is increased by 50%, then the new value will be 1.5x, and if the other one is decreased by 50%, the new value will be 0.5y.
The product of the two new numbers will be:
1.5x * 0.5y = 0.75xy
So, the new product is 0.75 times the original product. This means the product of the two numbers has decreased by 25%.
To summarize:
If one number is increased by 50% and the other number is decreased by 50%, the product of the two numbers will decrease by 25%.
The new product is 0.75 times the original product.
Brainiest is appreciated (:
i need the answer for this question
The value of the functions are;
f(3) = - 3
g(5) = -77
What is a function?A function can be defined as an equation or expression hat shows the relationship between two variables.
These variables are termed;
The dependent variableThe independent variableFrom the information given, we have that;
f(x) = -5x + 2
g(x) = -3x²- 2
To determine the function, f(3), and g(5), we have to substitute the value of x as 3 in the function f(x) and the value of x as 5 in the function g(x).
We have;
f(3) = -5(3) + 2
expand the bracket
f(3) = - 13
For the second function;
g(5) = - 3(5)² -2
g(5) = -77
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8.
A right triangle shaped sail has an area of 150 square
meters. The base of the sail is 10 less than twice the
ight. Find the base and the height.
Answer:
Base=20m height= 15m
Step-by-step explanation:
The area of a triangle is given by:
[tex]A=\frac{bh}{2}[/tex]
since base is 10 less than twice the height b=2h-10
plugin in those values and knowing area is 150
[tex]150=[/tex][tex]\frac{h(2h-10)}{2}[/tex]
then solve for h
[tex]300=2h^2-10h[/tex] this is quadratic equation
[tex]h^2-5h-150=0[/tex]
factorizing (notice you can also use quadratic equation)
[tex](h-15)(h+10)=0[/tex]
which positive solution (height cant be negative) is h=15
then the base is b=2(15)-10=20
Answer:
The height is 15 meters and the base is 20 meters.
Step-by-step explanation:
Let's use the formula for the area of a right triangle:
A = (1/2)bh
Where A is the area, b is the base, and h is the height.
We're given that the area is 150 square meters, so we can substitute that in:
150 = (1/2)bh
Next, we're told that the base is 10 less than twice the height. In other words,
b = 2h - 10
We can substitute this expression for b into the equation for the area:
150 = (1/2)(2h - 10)h
Simplifying:
300 = (2h - 10)h
300 = 2h^2 - 10h
2h^2 - 10h - 300 = 0
Dividing both sides by 2:
h^2 - 5h - 150 = 0
Now we can solve for h using the quadratic formula:
h = (-(-5) ± sqrt((-5)^2 - 4(1)(-150))) / 2(1)
h = (5 ± sqrt(625)) / 2
h = (5 ± 25) / 2
We can ignore the negative root (which gives us a negative height), so:
h = 15
Now we can use the expression for b in terms of h to find the base:
b = 2h - 10
b = 2(15) - 10
b = 20
Therefore, the height is 15 meters and the base is 20 meters.
Multiply.
4 1/3 x 2 3/4
7 1/12
8 1/4
11 11/12
i dont know
Answer:
11 11/12
Step-by-step explanation:
You can change these "mixed numbers" (a big whole numbers and also a fraction) to "improper fractions" (a single fraction with a bigger number on top and a smaller number on the bottom)
4 1/3 × 2 3/4
see image
13/3 × 11/4
Multiply straight across, top×top and bottom×bottom.
see image.
Change back to a mixed number by dividing.
The multiplication of 4 1/3 x 2 3/4 is 11 11/12.
The correct option is C.
What is an improper fraction?A fraction that has the numerator higher than or equal to the denominator is said to be an improper fraction.
To multiply 4 1/3 and 2 3/4, we can first convert them to improper fractions:
4 1/3 = 13/3
2 3/4 = 11/4
Then we can multiply the fractions by multiplying the numerators and denominators separately:
(13/3) x (11/4) = (143/12)
Finally, we can convert the improper fraction back to a mixed number if desired:
143/12 = 11 11/12
Therefore, the answer is 11 11/12.
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find the following angles
The result are Blank #1: 65°, Blank #2: 115°, Blank #3: 65°, Blank #4: 115°
What is Vertical angles?Vertical angles are pairs of angles that are formed by two intersecting lines or two intersecting line segments. These angles are opposite each other and are located at the opposite corners of the intersection.
Vertical angles, ∠BAD = ∠CAE
it means (x+75)° = (3x-5)°
so, x = 40°
1. ∠BAC = 180° - (x+75)° = 180 - (40 + 75) = 65°
2. ∠CAE = (3x-5)° = 3×40 - 5 = 115°
3. ∠DAE = ∠BAC = 65°
4. ∠BAD = (x+75)° = 40+75 = 115°
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10.8 angle relationships & triangles
∠M and ∠N are supplementary and m∠M = 37°
. If m∠N = (13x)°
, what is the value of x and the m∠N?
Answer: x = 50, m∠N = 50°
Step-by-step explanation:
x = 50, m∠N = 50°
Since ∠M and ∠N are supplementary, the two angles add up to 180°. Therefore, m∠N = 180° - 37° = 143°. Because m∠N = 13x, we can solve for x by dividing both sides by 13, which gives x = 50. Therefore, m∠N = 13x = 13(50) = 50°.
Determine the equation of the hyperbola with foci (3, 11) and (3, -9), and co-
vertices (11, 1) and (-5,1).
The equation of the hyperbola with the given foci and vertices is (x - 3)² - (y - 1)² = 64
What is hyperbola?Hyperbola is a type of conic section, which is a curve formed by the intersection of a cone with a plane. It is similar to a circle, but with two separate halves that are mirror images of each other. These two halves are called branches, and the point where they intersect is the vertex. The hyperbola is characterized by its two foci, which are points that lie on the inside of the structure.
The equation of a hyperbola with foci (h, k) and (h, l) and vertices (m, n) and (p, n) is given by:
((x - h)² / (m - h)²) - ((y - n)² / (k - n)²) = 1
In this case, h = 3, k = 11, l = -9, m = 11, and n = 1. Plugging these values into the equation, we get:
((x - 3)² / (11 - 3)²) - ((y - 1)² / (11 - 1)²) = 1
Simplifying, we get:
(x - 3)² - (y - 1)² = 8²
Therefore, the equation of the hyperbola with the given foci and vertices is: (x - 3)² - (y - 1)² = 64.
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At Cheng's Bike Rentals, it costs $22 to rent a bike for 4 hours. How many dollars does it cost per hour of bike use?
Answer:
Step-by-step explanation:
To find the cost per hour of bike use at Cheng's Bike Rentals, we need to divide the total cost of renting the bike by the number of hours it was rented for.
If it costs $22 to rent a bike for 4 hours, then the cost per hour is:
$22 / 4 hours = $5.50/hour
Therefore, it costs $5.50 per hour of bike use at Cheng's Bike Rentals.
Which expression does not belong with the other three? explain
The only expression that does not belong to the other 3 is the one that is a binomial.
How to identify the type of algebraic expression?A monomial is defined as an algebraic expression that has only one non- zero term. Examples of a monomial expression are x, 7xy²
A binomial is defined as an algebraic expression that has two non-zero terms. Examples of a binomial expression: x² + 2y
A trinomial is defined as an algebraic expression that possesses three non-zero terms. Examples of a trinomial expression: a + b + c
A polynomial is defined as an algebraic expression that has one, two or more terms.
The only expression that does not belong to the other 3 is (b - 2⁻¹) because it is the only binomial.
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Given: QS/TV=RS/UV=3, QR=3TU
Prove: Triangle QRS ~ triangle TUV
A triangle is a geometrical shape that is formed by three straight lines connecting three non-collinear points. The three points are called the vertices of the triangle, and the lines connecting them are called sides or edges.
How to prove that the Triangle QRS ~ triangle TUV?To prove that triangle QRS is similar to triangle TUV, we need to show that their corresponding angles are equal and their corresponding sides are proportional.
Let's start by identifying the corresponding angles:
Angle QRS corresponds to angle TUV (they are both right angles)Angle QSR corresponds to angle TVU (they are opposite angles formed by intersecting lines)Angle RQS corresponds to angle UTV (they are opposite angles formed by intersecting lines)Now, let's look at the corresponding sides:
QS corresponds to TVRS corresponds to UVQR corresponds to TU (given)To prove that the triangles are similar, we need to show that the ratios of the corresponding sides are equal:
QS/TV = RS/UV (given)
QS/TV = 3/3 (since QR=3TU)
QS/TV = 1
RS/UV = 3/3 (since QR=3TU)
RS/UV = 1
Since the ratios of the corresponding sides are equal, the triangles are similar. Therefore, we can conclude that triangle QRS ~ triangle TUV.
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The scatter plot shows prize money, in thousands of dollars, for a contest over eight consecutive years.
Predict the amount of prize money in year 10 of the contest.
A) $11,790
B) $20,340
C) $35,200
D) $45,900
Based on the information in the graph, it can be inferred that the amount of prize money in year 10 of the contest would be $11,790 (option A).
How to predict the amount of prize money in year 10 of the contest?To predict the amount of prize money in year 10 of the contest we must take into account the information of the image. As can be seen from year 1 to year 8, the amount of prize money has not had a very radical variation, but has remained in a range between 6,000 and 12,000.
Based on the foregoing, it could be inferred that for year 10 the amount of prize money does not fall outside these ranges. Then we could affirm that in year 10 the amount of prize money will be $11,790 because it is within the range in which this value has fluctuated.
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2 ^3 • 2 ^4 is equal to _____.
Answer:
2^7 or 128
Step-by-step explanation:
When we multiply two powers with the same base, we add their exponents. In this case, the base is 2 and the exponents are 3 and 4.
So, 2^3 • 2^4 can be simplified as:
2^3 • 2^4 = 2^(3+4) = 2^7
Therefore, 2^3 • 2^4 is equal to 128.
Answer:128
Step-by-step explanation:
i assume that by ^ you meant power,
2^3=2*2*2=8
2^4=2*2*2*2=16
8*16=128
two are supplementary. the measure of one of these angles is 12 degrees less than one-third the measure of the other.what is the measure of each angle
Answer:
two are supplementary. the measure of one of these angles is 12 degrees less than one-third the measure of the other.what is the measure of each angle
Let's call the measures of the two angles x and y, where x is the larger angle. We know that the two angles are supplementary, which means they add up to 180 degrees:
x + y = 180
We also know that one of the angles (let's say y) is 12 degrees less than one-third the measure of the other angle (x):
y = (1/3)x - 12
Now we can substitute the second equation into the first equation to solve for x:
x + (1/3)x - 12 = 180
Multiplying both sides by 3 to get rid of the fraction, we have:
3x + x - 36 = 540
Combining like terms, we get:
4x - 36 = 540
Adding 36 to both sides, we get:
4x = 576
Dividing both sides by 4, we get:
x = 144
Now we can use the first equation to solve for y:
144 + y = 180
Subtracting 144 from both sides, we get:
y = 36
Therefore, the measures of the two angles are 144 degrees and 36 degrees.
Find the probability of exactly 5 successes in 7 trials of a binomial experiment in which the probability of success is 70%
Answer:
0.3176523
Step-by-step explanation:
You want the probability of exactly 5 successes in 7 trials of a binomial experiment in which the probability of success is 70%.
ProbabilityThe desired probability is the product of the probability of 5 success and 2 failures, multiplied by the number of ways that result might occur.
P(x=5) = 7C5·(0.7^5)(1 -0.7)^2 = 0.3176523
The probability of exactly 5 successes is 0.3176523.
__
Additional comment
Any of a number of probability calculators can tell you this probability. Spreadsheets have appropriate functions built in as well.
[tex]\blue{\huge {\mathrm{PROBABILITY}}}[/tex]
[tex]\\[/tex]
[tex]{===========================================}[/tex]
[tex]{\underline{\huge \mathbb{Q}{\large \mathrm {UESTION : }}}}[/tex]
Find the probability of exactly 5 successes in 7 trials of a binomial experiment in which the probability of success is 70%.[tex]{===========================================}[/tex]
[tex] {\underline{\huge \mathbb{A} {\large \mathrm {NSWER : }}}} [/tex]
The probability of exactly 5 successes in 7 trials of a binomial experiment in which the probability of success is 70% is 0.3176523.[tex]{===========================================}[/tex]
[tex] {\underline{\huge \mathbb{S} {\large \mathrm {OLUTION : }}}} [/tex]
We can use the binomial probability formula to find the probability of exactly 5 successes in 7 trials:
[tex]\sf P(5\: successes\: in\: 7\: trials) = (7\: choose\: 5) (0.7)^5 (0.3)^2[/tex]
where:
n = 7 (number of trials),p = 0.7 (probability of success),q = 0.3 (probability of failure), and(7 choose 5) = 7!/(5!2!) = 21 (the number of ways to choose 5 successes in 7 trials).Plugging in these values, we get:
[tex]\begin{aligned}\sf P(5\: successes\: in\: 7\: trials)& =\sf 21 (0.7)^5 (0.3)^2\\& =\bold{ 0.3176523}\end{aligned}[/tex]
Therefore, the probability of exactly 5 successes in 7 trials of a binomial experiment in which the probability of success is 70% is 0.3176523.
[tex]{===========================================}[/tex]
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Based on a poll, 50% of adults believe in reincarnation. Assume that 6 adults are randomly selected, and find the indicated probability. What is the probability that all of the selected adults believe in reincarnation?
Answer:
a)0.25
b)0.063
c)0.313
d)Yes, because the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05.
Step-by-step explanation:
Probability nation is that adult believe in reincarnation
Therefore,
Using binomial distribution
Where
a) When r=3
The probability that exactly 3 of the 4 adults believe in reincarnation is
0.25
b) Now,
The probability that all of the selected adults believe in reincarnation is
. 0.063
c) In this case atleast 3 will believe therefore
The probability that at least 3 of the selected adults believe in reincarnation is 0.313
d)Yes, because the probability that 3 or more of the selected adults believe in reincarnation is greater than 0.05 i.e 0.313.
simplify sqrt (196y^8)
this is basically saying the square root of 196y to the power of 8.
btw i can do this. i just feel rlly lazy today :[
Hence, in response to the provided question, we can say that As a result, exponents [tex]/sqrt(196y^8)[/tex] simplifies to [tex]14y^4[/tex].
what are exponents?Exponentiation, sometimes known as "raising b to the nth power," is a substitution cipher that includes two numbers: a base quantity, b, and an argument, meaning power, n. Exponents represent the number of times a value has been increased by itself. As an example, 2-3 (represented as 23) represents: 2 x 2 x 2 = 8. 2 + 3 = 6 does not equal 23. Remember that an integer multiplied by one equals itself. Exponents are a method for expressing large numbers as powers. The amount that represents however many times a statistic has already been amplified by itself is called the exponent. As an example, multiplying 6 by 4 yields 6 x 6 x 6.
Using exponent principles and the square root of perfect squares, we may simplify sqrt(196y8) as follows:
[tex]\sqrt(196y8) = \sqrt((142*(y4)2) [since 196 = 142 and (y4)2 = y8]\\\sqrt(142) * \sqrt((y4)2) [using the \sqrt(ab) = \sqrt(a) * \sqrt(b) rule]\\= 14y^4[/tex]
As a result, [tex]/sqrt(196y^8)[/tex] simplifies to [tex]14y^4[/tex].
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9 + 6g + 1 = 100 please I need help these are difficult
Answer:
So g would be 15.
Find the ordered pair solutions for the system of equations. ([?], f(x) = x² + 1 f(x) = -x + 3 ) and ( Enter the smallest x first.
The ordered pair solutions for the system of equations are (-2, 5) and (1, 2).
How to determine ordered pair?To determine if an ordered pair is a solution to two systems of equations, substitute the values of the variables into each equation. If an ordered pair makes both equations true, it is the solution of the system.
To find the ordered pair solutions for the system of equations, we need to solve the two equations simultaneously.
f(x) = x² + 1 ...(1)
f(x) = -x + 3 ...(2)
Setting the two equations equal to each other, we get:
x² + 1 = -x + 3
Rearranging this equation, we get:
x² + x - 2 = 0
Factoring this quadratic equation, we get:
(x + 2)(x - 1) = 0
Therefore, the solutions for x are x = -2 and x = 1.
Substituting these values of x into either equation (1) or (2), we get:
For x = -2: f(-2) = (-2)² + 1 = 5, and f(-2) = -(-2) + 3 = 5.
For x = 1: f(1) = 1² + 1 = 2, and f(1) = -1 + 3 = 2.
Therefore, the ordered pair solutions for the system of equations are (-2, 5) and (1, 2).
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Solve the following system of equations:
y = 3x + 1
y = 3x + 7
(3,1)
(3,7)
No Solutions
Infinite Solutions
Answer:
No solutions
Step-by-step explanation:
i have a feeling it's "no solutions". looking at the equations, the only thing that's different is the y intercepts (one being +1 and the other +7). that tells me they are parallel, so they'll never touch each other