Solve for x in the equation x squared + 2 x + 1 = 17Solve for x in the equation x squared minus 12 x + 59 = 0
Answers
The solution of x for both equations are ;
\(x = -1 \pm \sqrt{15} \\\\x = \dfrac{12 \pm \sqrt{-92}}{2}\\\)
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable.
The standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
1.
\(x^2 + 2x + 1 = 17\\\\x^2 + 2x -16 = 0\\\\x = \dfrac{-2 \pm \sqrt{60}}{2}\\\\x = -1 \pm \sqrt{15}\)
2.
x^2 - 12 x + 59 = 0
first we need to calculate the discriminant,
\(D= b^2 - 4 a c\\D= (-12)^2 -4 \times 1 \times 59\\\\D = -92\)
Since D<0, the quadratic equation has no real solutions.
\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \dfrac{12 \pm \sqrt{-92}}{2}\\\)
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Related Questions
FOR EASY BRAINLIEST:
ANSWER NUMBER: 14.
Answers
Answer:
Step-by-step explanation:
Answer:
y=-3/2x+4
Step-by-step explanation:
Brian runs 7 miles in 50 minutes. At the same rate, how many miles would he run in 75 minutes?
Answers
Answer:
7/50 = x/75
x = 10.5
therefore he would run 10.5 miles in 75 minutes
Answer:
In 75 minutes, she runs (7/50) x 75 = 10.5.
She runs 10.5 miles in 75 minutes.
Step-by-step explanation:
The cost of filling up Jason's car is directly proportional to the number of gallons purchased. It if costs Jason $32.40 to purchase 15 gallons of gas, find the cost of purchasing 20 gallons of gas.
Answers
Answer:
$43.2
Step-by-step explanation:
32.4÷15=2.16
2.16×20=43.2
The cost of purchasing 20 gallons of gas will be $43.2.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
The costs Jason $32.40 to purchase 15 gallons of gas.
Now,
Let the cost of purchasing 20 gallons of gas = x
Since, The costs Jason $32.40 to purchase 15 gallons of gas.
So, By definition of proportion we get;
⇒ $32.40/15 = x / 20
⇒ 32.40 × 20 / 15 = x
⇒ x = $43.2
Thus, The cost of purchasing 20 gallons of gas = $43.2
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Leonardo da Vinci wrote, "When each of two squares touch the same circle at four points, one is double the other." Explain why the statement is true.
Answers
To understand why the statement is true, let's consider a circle with a radius r, a smaller square with side length a, and a larger square with side length 2a. We'll examine the geometric relationships between these three shapes.
The smaller square is inscribed in the circle, meaning that the circle passes through all four vertices of the square. Thus, the diameter of the circle is equal to the diagonal of the smaller square. Using the Pythagorean theorem for the smaller square, we can derive the diameter (d) of the circle:
a^2 + a^2 = (d/2)^2
2a^2 = (d/2)^2
d = 2 * √(2a^2) = 2a√2
Now, let's consider the larger square. In this case, the circle is inscribed within the larger square, meaning that the diameter of the circle is equal to the side length of the larger square. Thus:
d = 2a
By equating the two expressions for d, we can confirm that the side length of the larger square is indeed double the side length of the smaller square:
2a√2 = 2a
2a = a√2
Therefore, when each of two squares touches the same circle at four points, one square is indeed double the other, as Leonardo da Vinci's statement suggests.
Use the diagram to find the value of the variable
Answers
Answer:
x = 7
Step-by-step explanation:
The sum of interior angles for the given rectangle can be found with the following formula:
(S-2)×180S is the number of the sides/angles.There are four angles:
2×180 = 360
Now we need to add te given measures/variables up.15x + 5 + 98 + 10x + 6 + 76 = 360
Add like terms.25x + 185 = 360
Subtract 185 from both sides.25x = 175
Divide both sides by 25x = 7
Part II: Find the sine, cosine, and tangent ratios of <y
Answers
Answer:
sin θ = 22.62°
cos θ = 22.62°
tan θ = 22.62°
Step-by-step explanation:
From the diagram above
Opposite = 5
Adjacent = 12
Hypotenuse = 13
a) sin θ = Opp/Hypotenuse
sin θ = 5/13
sin θ = 0.3846153846
arc sin 0.3846153846
= 22.619864948°
Approximately = 22.62°
b) cos θ = Adjacent/ Hypotenuse
θ = 12/13
= arccos(0.9230769230769231)
22.619864948°
Approximately = 22.62°
c) tan θ = Opposite/Adjacent
θ = 5/12
= arctan(0.4166666666666667)
= 22.619864948°
= 22.62°
Meg made 6 cups of gumbo and divided the gumbo equally among 8 containers.
Answers
Answer:
0.75
Step-by-step explanation:
6/8 = 0.75
Or 8/6 = 1.3 repeating
Please help me answer this question. I'm really stuck.
Please provide full explanation for all three questions.
Answers
It would take 30000 liters of water to fill the pool if the water level is to be 20 cm from the top.
(a) To find the surface area of the pool, we need to calculate the area of each side and then sum them up.
The pool has six sides: two ends, two long sides, and two bottom sides.
The area of each end side is the width multiplied by the depth:
Area of end side = 2m × 1.5m = 3m²
The area of each long side is the length multiplied by the depth:
Area of long side = 10m × 1.5m = 15m²
The area of each bottom side is the length multiplied by the width:
Area of bottom side = 10m × 2m = 20m²
To find the total surface area, we sum up the areas of all six sides:
Total surface area = 2(3m²) + 2(15m²) + 2(20m²)
Total surface area = 6m² + 30m² + 40m²
Total surface area = 76m²
Therefore, the surface area of the pool is 76 square meters.
(b) To calculate the cost of painting the surface area of the pool, we multiply the surface area by the cost per square meter of the paint.
Cost to paint the surface area = Surface area × Cost per square meter
Cost to paint the surface area = 76m² × $9.50/m²
Cost to paint the surface area = $722
Therefore, the cost to paint the surface area of the pool is $722.
(c) To find the number of liters of water required to fill the pool, we need to calculate the volume of the pool and then convert it to liters.
The volume of the pool is the length multiplied by the width multiplied by the depth:
Volume of pool = 10m × 2m × 1.5m
Volume of pool = 30m³
Since 1 cubic meter is equal to 1000 liters, we convert the volume to liters:
Volume in liters = Volume of pool × 1000
Volume in liters = 30m³ × 1000
Volume in liters = 30000 liters
Therefore, it would take 30000 liters of water to fill the pool if the water level is to be 20 cm from the top.
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At the game, the Junior class sold slices of pizza for $.75 each and hamburgers for $1.35 each. They sold 40 more slices of pizza than hamburgers and their sales totaled $292.50. How many slices of pizza did they sell
Answers
The Junior class sold 165 slices of pizza.
Let x represent the number of hamburgers sold and y represent the number of slices of pizza sold.
The total amount from sales: 1.35x + 0.75y = 292.50
They sold 40 more slices of pizza than hamburgers: y = x + 40
Now, we'll solve the system of equations using the substitution method:
Substitute the second equation into the first equation:
1.35x + 0.75(x + 40) = 292.50
Distribute $0.75 through the parentheses:
1.35x + 0.75x + 30 = 292.50
Combine like terms:
2.10x + 30 = 292.50
Subtract 30 from both sides of the equation:
2.10x = 262.50
Divide both sides by 2.10 to solve for x:
x = 125
Now that we know there were 125 hamburgers sold, we can use the second equation to find the number of slices of pizza sold:
y = x + 40
y = 125 + 40
y = 165
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Brittany knit a total of 4 centimeters of scarf over 2 nights. How many nights will Brittanyhave to spend knitting in order to knit a total of 88 centimeters of scarf? Assume therelationship is directly proportional.
Answers
ok
I'll start, let me know if you understand.
4 cm ------------------------- 2 nights
88 cm ------------------------ x
x = (88 x 2) / 4
x = 176 / 4
x = 44 nights
Conclusion: Brittany needs 44 nights to complete the scarf
1. Honors Geometry 9th Grade PLS HELP WILL MARK BRAINLIST.
Answers
Answer:
Measure of angle E is 37 degrees because the triangles are similar and angle c and angle e are the ones that match up.
2x+4=6 is the equation
2x+4=6
2x=2
x=1
Angle 4 and Angle _____ are vertical angles.
Answers
a piece of lumber which is 55 inches long is cut into two parts such that 2 times the larger part will be 12 more than 5 times the smaller part. how large are each of the pieces of lumber?
Answers
x=14 in is the smaller part of lumber
55-x=55-14=41 in is the larger part of lumber
What is linear equation ?Linear equations are described for strains withinside the coordinate system. If an equation has homogeneous variables of diploma 1 (that is, best one variable), the equation is stated to be a linear equation in a single variable. A linear equation may have more than one variables. When linear equations have variables, they may be known as bivariate linear equations.
Examples of linear equations are 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, 3x - y + z = 3. This article gives definitions of linear equations, preferred types of linear equations in a single, , and 3 variables, and examples of them with complete explanations.
CalculationLet x=the smaller part
Then 55-x=the larger part
Now we are told the following:
2(55-x)=5x+12 simplify
110-2x=5x+12 add 2x to and subtract 12 from each side
110-2x+2x-12=5x+2x+12-12 collect like terms
98=7x
x=14 in--------------------smaller part
55-x=55-14=41 in-----------larger part
CK
2 times larger part=2*41=82 in
5 times smaller part=5*14=70 in
70+12=82
82=82
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chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
Answers
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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Consider the following table: Female Male Total Republican 105 115 220 Democrat 150 103 253 Independent 150 179 329 Total 405 397 802 What is the probability a voter is either female or Democrat?
Answers
The probability that a voter is either female or Democrat is 0.64 or 64%.
To calculate the probability, we need to determine the number of individuals who are either female or Democrat and divide it by the total number of voters.
From the table, we can see that there are 405 females and 253 Democrats. However, we need to be careful not to double-count the individuals who fall into both categories.
To find the number of individuals who are either female or Democrat, we add the number of females (405) and the number of Democrats (253), and then subtract the number of individuals who are both female and Democrat (150).
So, the number of individuals who are either female or Democrat is 405 + 253 - 150 = 508.
Now, we divide this number by the total number of voters, which is 802, to get the probability: 508 / 802 ≈ 0.64 or 64%.
Therefore, the probability that a voter is either female or Democrat is approximately 0.64 or 64%.
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√(7+√(24))÷2+√(7−√(24))÷2
Answers
Answer:
The exact form is √(7+√(24))÷2+√(7−√(24)) over 2. The decimal form is 2.44948974....
Step-by-step explanation: Hope this will help you! :D
Find the volume of the prism. (Image down below)
Answers
Answer:
Option (A)
Step-by-step explanation:
In the figure attached,
A prism has been given with two triangular bases.
If we put this prism with one of the triangular face as the base of the prism, height of the prism will be 6 in.
Volume of a prism is calculated with the formula,
Volume = (Area of the triangular base) × Height
Area of the triangular base = \(\frac{1}{2}(\text{Base})(\text{Height of the triangular base})\)
= \(\frac{1}{2}(3)(5)\)
= 7.5 in²
Volume of the prism = 7.5 × 6
= 45 in³
Therefore, Option (A) will be the answer.
Consider the following LP: maxz=
s.t.
5x 1
+3x 2
4x 1
+2x 2
≤12
4x 1
+x 2
≤10
x 1
+x 2
≤4
x 1
,x 2
≥0
(a) Solve the LP graphically. (b) Solve the LP using the Simplex Method. (c) Identify all basic feasible solutions corresponding to each tableau of the Simplex Method and find the corresponding point in the graph. (d) Is the LP degenerate? Why? (e) Is the LP unboundend, does it have multiple optimal solutions or is the optimal solution unique? Use the final tableau to establish your answer.
Answers
By analyzing the final simplex tableau, we can establish whether the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution.
(a) Solving the LP graphically:
First, let's graph the constraints:
5x1 + 3x2 ≤ 12
4x1 + 2x2 ≤ 10
x1 + x2 ≤ 4
x1, x2 ≥ 0
Plotting these constraints will create a feasible region bounded by the lines and the non-negativity constraints.
Next, we need to identify the corner points of the feasible region. To do this, we can solve each pair of intersecting lines to find the intersection points.
Once we have the corner points, we can evaluate the objective function z = 5x1 + 3x2 at each corner point to determine the optimal solution point that maximizes z.
(b) Solving the LP using the Simplex Method:
The initial simplex tableau is formed by adding slack variables to the constraints and setting up the objective function row.
After performing the simplex iterations, we can obtain the final simplex tableau and read the optimal solution from it.
(c) Identifying all basic feasible solutions corresponding to each tableau of the Simplex Method and finding the corresponding point in the graph:
In each tableau of the Simplex Method, the basic feasible solutions correspond to the variables that have a value of zero in the objective row.
For each tableau, we can identify the basic feasible solutions and their corresponding points in the graph by setting the non-basic variables to zero and solving for the basic variables.
(d) Determining if the LP is degenerate:
An LP is considered degenerate if there are multiple solutions that give the same optimal objective function value.
To determine if the LP is degenerate, we need to examine the final simplex tableau and check if there are multiple solutions with the same optimal objective function value.
(e) Establishing if the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution:
We can determine if the LP is unbounded, has multiple optimal solutions, or has a unique optimal solution by examining the final simplex tableau.
If there is a column in the objective row with all negative values or a row with all non-positive values, the LP is unbounded.
If the optimal objective function value appears multiple times in the objective row, the LP has multiple optimal solutions.
If the optimal objective function value appears only once and there are no other non-positive values in the objective row, the LP has a unique optimal solution.
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the average number of shoppers at a particular grocery store in one day is 505, and the standard deviation is 115. the number of shoppers is normally distributed. for a random day, what is the probability that there are between 200 and 400 shoppers at the grocery store? the answer should be typed as a decimal with 4 decimal places.
Answers
This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.
Using the normal distribution formula, we can calculate the z-scores for 200 and 400 shoppers:
z(200) = (200 - 505) / 115 = -2.65
z(400) = (400 - 505) / 115 = -0.91
Next, we can use a standard normal distribution table or calculator to find the area between these two z-scores. The probability is:
P(-2.65 < z < -0.91) = 0.1678
Therefore, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.
To calculate the probability that there are between 200 and 400 shoppers at the grocery store, we first need to determine the z-scores for those values. We can then use a standard normal distribution table or calculator to find the area between those two z-scores. The result is the probability of interest. In this case, the probability that there are between 200 and 400 shoppers at the grocery store is 0.1678.
The probability that there are between 200 and 400 shoppers at the grocery store is 0.1678. This means that on a random day, there is a 16.78% chance that the number of shoppers at the grocery store will fall between 200 and 400.
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A population has a current size of 150. If λ is 1. 2, what will the expected population size be after two generations?.
Answers
The expected population size be after two generations which has a current size of 150 and λ of 1.2 is 216.
Nt = N₀ × λ^t
Nt = Population size at generation t
N₀ = Current population size
t = Number of generations
λ = Finite rate of increase
λ = 1.2
N₀ = 150
Nt = 150 × 1.2²
Nt = 150 × 1.44
Nt = 216
Population size is defined as the number of individuals present in a designated region. Finite rate of increase is the ratio of population size from increase from one year to the next.
Therefore, the expected population size be after two generations is 216
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1. The vectors a, b and c are given by: a = 2î +3j - 4k b = 5î+4ĵ+ 7k c = 6i +2j-k Find: (i) 2a+3b-c (ii) a-2b+4c (iii) 5a+2b-c (iv) a-b-3c
This is a Further Maths question
help the correct answer or I will report
Answers
\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)
\(\qquad \tt \rightarrow \: 2a + 3b - c = 13i+16j+ 14k\)
\(\qquad \tt \rightarrow \: a - 2b + 4c = 16i+ 3j- 22k \)
\(\qquad \tt \rightarrow \: 5a + 2b - c = 14i+ 21j- 5k \)
\(\qquad \tt \rightarrow \: a - b - 3c = - 21i - 7j - 8k \)
____________________________________
\( \large \tt Solution \: : \)
\(\qquad \large \rm \: (i) \: 2a + 3b - c\)
\(\qquad \tt \rightarrow \: 2(2i + 3j - 4k) + 3(5i + 4j + 7k) - (6i + 2j - k)\)
\(\qquad \tt \rightarrow \: 4i + 6j - 8k + 15i + 12j + 21k- 6i - 2j + k\)
\(\qquad \tt \rightarrow \: (4i + 15i -6i )+( 6j + 12j - 2j) + (- 8k + 21k + k )\)
\(\qquad \tt \rightarrow \: 13i+16j+ 14k\)
____________________________________
\(\qquad \large \rm \: (ii) \: a - 2b + 4c\)
\(\qquad \tt \rightarrow \: (2i + 3j - 4k) - 2(5i + 4j + 7k) + 4(6i + 2j - k)\)
\(\qquad \tt \rightarrow \: 2i + 3j - 4k -10i - 8j - 14k + 24i + 8j - 4k\)
\(\qquad \tt \rightarrow \:( 2i - 10i + 24i)+ (3j -8j + 8j ) + ( - 4k - 14k - 4k)\)
\(\qquad \tt \rightarrow \:16i+ 3j - 22k \)
____________________________________
\(\qquad \large \rm \: (iii) \:5 a + 2b - c\)
\(\qquad \tt \rightarrow \: 5(2i + 3j - 4k) + 2(5i + 4j + 7k) - (6i + 2j - k)\)
\(\qquad \tt \rightarrow \: 10i + 15j - 20k + 10i + 8j + 14k - 6i - 2j + k\)
\(\qquad \tt \rightarrow \:( 10i + 10i - 6i )+ (15j + 8j - 2j) + (- 20k + 14k + k )\)
\(\qquad \tt \rightarrow \:14i+ 21j- 5k \)
____________________________________
\(\qquad \large \rm \: (iv) \: a -b -3c\)
\(\qquad \tt \rightarrow \: (2i + 3j - 4k) - (5i + 4j + 7k) -3 (6i + 2j - k)\)
\(\qquad \tt \rightarrow \: 2i + 3j - 4k - 5i - 4j - 7k -18i - 6j + 3 k\)
\(\qquad \tt \rightarrow \: (2i - 5i - 18i) +( 3j - 4j - 6j ) + (- 4k - 7k + 3 k)\)
\(\qquad \tt \rightarrow \: - 21i - 7j - 8k\)
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Find the indicated area under the curve of the standard normal distribution; then convert it to a percentage and fill in the blank. About ______% of the area is between z = − 2 and z = 2 (or within 2 standard deviations of the mean).
Answers
Answer:
95.44%
Step-by-step explanation:
We can find the percentage of area lies within 2 standard deviations of mean by computing P(-2<Z<2).
So,
P(-2<Z<2)=P(-2<Z<0)+P(0<Z<2)
Using normal area table P(0<Z<2)=0.4472. So,
P(-2<Z<2)=0.4472+0.4772
P(-2<Z<2)=0.9544
Thus, the 95.44% of area lies within 2 standard deviations of mean.
With reference to the distribution of IQ scores again, according to the 68-95-99.7 rule, what is the probability that a person selected at random has an IQ greater than 100
Answers
The IQ score distribution follows a normal curve and is distributed with a mean of 100 and a standard deviation of 15. The 68-95-99.7 rule states that approximately 68% of the population falls within one standard deviation of the mean, 95% falls within two standard deviations of the mean, and 99.7% falls within three standard deviations of the mean.
To find the probability that a person selected at random has an IQ greater than 100, we need to calculate the z-score first. The z-score formula is given by:
z = (X - μ) / σ
where X is the IQ score, μ is the mean, and σ is the standard deviation.
Substituting the given values, we get:
z = (100 - 100) / 15
z = 0
A z-score of 0 means that the IQ score is equal to the mean. Since we want to find the probability of a person having an IQ score greater than 100, we need to find the area under the normal curve to the right of z = 0. Using a standard normal distribution table or a calculator, we can find this area to be approximately 0.5 or 50%. Therefore, the probability that a person selected at random has an IQ greater than 100 is 50%.
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How do you find the surface area and the volume to a composite figure?
Answers
Answer:
वि स्कुल माध्यामिक विद्यालय निम्न माध्यामिक विद्यालय व्यवस्थापन समिति सम्पादन र प्रकाशनमा बुटवलबाट निस्कने एक्सरे साप्ताहिकमा एक पटक साप्ताहिकमा छापिएको थियो। प्रकाशित
2+8-15x34 i need help on this question
Answers
Answer:
-500
Step-by-step explanation:
Using the order of operations, you first multiply the 15 by 34, to get 510. This turns the equation to 2+8-510, which can be simplified to 10-510. This equals 500.
Step by step You and a friend are hiking and find yourselves near the top of a waterfall. There is a path to hike down that takes 1.5 miles to reach the bottom safely and go swimming. There is also a path that is 1.2 miles down to a great place to eat lunch. Your friend wants to stay at the top of the waterfall and fly his drone overhead to take pictures from the sky. A drone is a flying robot that can be remotely controlled with computer software or technology. Draw a vertical number line to help you answer the questions.
Part A: How far would the drone need to fly up in the air to be the opposite distance from you when you are eating lunch? (3 points)
Part B: How far would the drone need to fly up in the air to be the opposite distance from you when you are swimming? (3 points)
Part C: What does the value of zero represent in this problem? (3 points)
Part D: Use absolute value to show that if you hike down to go swimming and then hike back to the top to meet your friend that you hiked the same distance in both directions. (3 points)
Answers
The values for the questions are given below.
What is Distance between Two Points?Distance between two points is the magnitude of the distance you travelled without regarding to the direction.
Let the point at the top of the waterfall is origin, where the value is 0.
Distance from the top of the waterfall to the point where they can swim = 1.5 miles or -1.5 miles since it is down the origin
Distance from the top of the waterfall to the point where they can eat lunch = 1.2 miles or -1.2 miles since it is down the origin
Part A :
When the drone needs to be in opposite distance from you when you are eating lunch, the distance of drone from the top of the waterfall must be 1.2 miles.
Total distance from the place where you eat lunch to the drone = 1.2 + 1.2 = 2.4 miles
Part B :
When the drone needs to be in opposite distance from you when you are swimming, the distance of drone from the top of the waterfall must be 1.5 miles.
Total distance from swimming to the drone = 1.5 + 1.5 = 3
Part C :
The value of 0 represent the top of the waterfall.
Part D :
If you hike down to go swimming, distance travelled = |-1.5| = 1.5 miles
If you hike up from the swimming point to the top of the waterfall, distance travelled = +1.5 miles
Both the distance are same.
Hence all the parts are answered.
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suppose we have the sample data 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. consider this as a sample from a normal distribution with unknown mean and variance, and assess the hypothesis that the population median (which is the same as the mean in this case) is 3. also carry out a sign test that the population median is 3 and compare the results. plot a boxplot for these data. does this support the assumption that we are sampling from a normal distribution? which test do you think is more appropriate? justify your answer.
Answers
The sample mean of data is 24.19 and median is 3.54. The sign test and hypothesis testing. The boxplot for observation is present above figure. Yes, it support assumption that we are sampling from a normal distribution.
We have a sample data with values 1.48, 4.10, 2.02, 56.59, 2.98, 1.51, 76.49, 50.25, 43.52, 2.96. Also, here consider a sample from a normal distribution with unknown mean and variance, and the hypothesis that the population median (which is the same as the mean in this case) is 3.
Hypothesis testing parameters are
\(Н_0 : \mu = 3 \)
\(H_a : \mu ≠ 3 \)
The sample mean is called the average and it is defined as the ratio sum of data values divided by number of data values.
Median is a statistical measure. It is equals to the middle data value obtained by ordering the data values in ascending order. In case of odd number of data values it is middle value and in case of even number of data values it become mean of two middle values. Here we use Excel function to determine the mean and median values. So, see the above figure, excel command for mean is
'= mean (column contain data values)' and for median '= median ( same column)'. So, mean = 24. 19 and median
= 3.54 . The sign test for hypothesis testing of observations also present in above figure. P-value of test = 0.623 > 0.05 , That is no evidence to reject the null hypothesis. So, population mean = 3. The boxplot of observations also present in above figure.
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What is the value of x in the equation 8+4 = 2(x-1)?
5
11
2
13
2.
7
Answers
Answer:
x = 7
Step-by-step explanation:
Marty can go to one movie on either Friday or Saturday. His choice of movies includes a comedy or an action movie. Which list shows all of the possible outcomes of one movie on one day?
Answers
the list of all possible outcomes is: {Comedy on Friday, Action on Friday, Comedy on Saturday, Action on Saturday}
What is possibility?
Possibility refers to the likelihood or chance that something may occur or be true. It is often expressed as a probability or a percentage, which indicates the relative frequency with which an event is expected to happen.
In everyday language, possibility is often used to describe something that could happen or be true, but is not necessarily guaranteed. For example, if there is a 50% chance of rain tomorrow, it is possible that it will rain, but it is not certain.
In mathematics and statistics, possibility is often used in the context of probability theory, which is the branch of mathematics that deals with the study of random events and their probabilities.
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Jess Used 11 1/2 cups of flour to make 3 1/2 batches of oatmeal cookies. One batch makes 24coookies .If she follows the same recipe, How much batches of cookies can she make with 16 1/2
Answers
Answer:
Jess used 11 1/2 cups of flour to make 3 1 / 2
batches of oatmeal cookies. One batch makes 24 cookies.
If Jess follows the same recipe, about how many cookies can she make with 16 1/2 cups of flour ?
A- 30
B- 120
C-200
D-380
Step-by-step explanation: