Answer the following 6 questions which parallel the video. First, consider N(15, 6). (a) Find the score for x = 22.452 (to 2 decimal places). z₁ = 1.24✓o (b) Now find the probility (to 4 decimal places from the z-score table), that a randomly chosen X is less than 22.452. P(X < 22.452) = = 0.8925 0 Second, consider N(16,4). (c) Find the score for x = 14.464 (to 2 decimal places). 22 = -0.38 ✔ 0 (d) Now find the probility (to 4 decimal places from the z-score table), that a randomly chosen X is less than 14.464. P(X> 14.464)= Third, consider N(18, 3). (e) If we know the probability of a random variable X being less than as is 0.8632 [that is, we know P(X23) 0.8632], use the z-score table to find z-score for a3 that gives this probability. (A picture may be useful). 23 = = (f) Now use the formula for the z-score given a, u and or to find the value of as that has the correct probability. 23 = Enter an integer or decimal number
Answers
(a) The z-score for x = 22.452 is 1.24.
We have N(15, 6),
Mean (μ) = 15,
Standard Deviation (σ) = 6.Score
(z-score) for x = 22.452
z = (x - μ) / σ
z = (22.452 - 15) / 6
z = 1.2424 (to 2 decimal places)
Therefore, the z-score for x = 22.452 is 1.24.
(b) Now find the probability (to 4 decimal places from the z-score table), that a randomly chosen X is less than 22.452.
P(X < 22.452) = P(Z < 1.24)
From the z-table, the area to the left of z = 1.24 is 0.8925 (approx).
P(X < 22.452) = 0.8925 (approx)
Therefore, the probability that a randomly chosen X is less than 22.452 is 0.8925 (approx).
Second, consider N(16,4).
(c) Find the score for x = 14.464 (to 2 decimal places).
We have N(16,4),
Mean (μ) = 16,
Standard Deviation (σ) = 4.
Score (z-score) for x = 14.464
z = (x - μ) / σ
z = (14.464 - 16) / 4
z = -0.384 (to 2 decimal places)
Therefore, the score for x = 14.464 is -0.38.
(d) Now find the probability (to 4 decimal places from the z-score table), that a randomly chosen X is less than 14.464.
P(X < 14.464) = P(Z < -0.384)
From the z-table, the area to the left of z = -0.384 is 0.3508 (approx).
P(X < 14.464) = 0.3508 (approx)
Therefore, the probability that a randomly chosen X is less than 14.464 is 0.3508 (approx).
Third, consider N(18, 3).
(e) If we know the probability of a random variable X being less than as is 0.8632 [that is, we know P(X < 23) = 0.8632], use the z-score table to find the z-score for a3 that gives this probability.
P(X < 23) = 0.8632P(Z < z) = 0.8632
From the z-table, the closest area to 0.8632 is 0.8633.
The z-score for 0.8633 is 1.07 (approx).
Therefore, the z-score for a3 that gives the probability 0.8632 is 1.07 (approx).
(f) Now use the formula for the z-score given a, u, and σ to find the value of a3 that has the correct probability.
Score (z-score) formula is z = (x - μ) / σ
=> 1.07 = (23 - 18) / 3a3 = (1.07 x 3) + 18a3 = 21.21 (approx)
Therefore, the value of a3 that has the correct probability is 21.21.
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Related Questions
Simplify the exponential expression.
Answers
The simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
What is an integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
It is given that:
The expression:
\(= \rm \dfrac{(g^3)(6^3)(p^7)}{(6)(g^2)(p^2)(p)}\)
After using the properties of integer exponent:
\(\rm =\dfrac{g^3\cdot \:6^2p^7}{g^2p^2p}\)
\(\rm =\dfrac{g\cdot \:6^2p^5}{p}\)
= g . 6² . p⁴
Thus, the simplification form of the provided expression is g . 6² . p⁴ option (B) g . 6² . p⁴ is correct.
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What does a hexagon look like in math?
Answers
A closed, two-dimensional, six-sided polygon in geometry is called a hexagon.
A closed, two-dimensional, six-sided polygon in geometry is called a hexagon. It has six vertices, which together create six internal angles and six line segments. The total of a hexagon's internal angles is 720°. A hexagon's form is also shown in the illustration below:
Based on the dimensions of the sides and angles, we can divide the hexagonal form into numerous categories. With the help of pertinent figures and examples, these are discussed here.
Standard hexagon
If all of the sides have the same length and all of the interior angles are the same size, a hexagon is said to be a regular hexagon. Moreover, the interior angle is 120 degrees. The regular hexagon has rotational symmetry of order six and six symmetrical lines.
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The mean of 6x, 3x and 5x is the same as the mean of 40, 50 and 36. Show all work!
What is x? x=
What are the 3 numbers in order from least to greatest?
Answers
Answer:
x = 9
27, 45, 54
Step-by-step explanation:
The mean of 6x, 3x and 5x = 6x + 3x + 5x / 3 = 14x / 3 = 4 2/3x
The mean of 40, 50 and 36 = 40 + 50 + 36 = 126/3 = 42
4 2/3x = 42
x = 42÷14/3 = 42 * 3/14 = 9
6x = 54
3x = 27
5x = 45
Least to greatest order: 27, 45, 54
Hope this helps :)
Fifteen percent of the employees in a company have managerial positions, and 25 percent of the employees in the company have MBA degrees. Also, 60 percent of the managers have MBA degrees. Using the probability formulas, find the proportion of employees who either have MBAs or are managers.
Answers
The proportion of employees who either have MBAs or are managers is 0.31, or 31%.
Let M be the event that an employee is a manager, and let B be the event that an employee has an MBA degree. We know:
P(M) = 0.15 (15% of the employees are managers)
P(B) = 0.25 (25% of the employees have MBA degrees)
P(B|M) = 0.6 (60% of the managers have MBA degrees)
We want to find P(M or B), the probability that an employee is either a manager or has an MBA degree.
We can use the formula:
P(M or B) = P(M) + P(B) - P(M and B)
To find P(M and B), we can use the conditional probability formula:
P(M and B) = P(B|M) * P(M)
Plugging in the values, we get:
P(M and B) = 0.6 * 0.15 = 0.09
Now we can plug in all the values to get:
P(M or B) = P(M) + P(B) - P(M and B) = 0.15 + 0.25 - 0.09 = 0.31
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2 time what makes 19.98?
Answers
Answer:
9.99
Step-by-step explanation:
Select all names that apply to the number.
3/4
A) Integer
B) Irrational
C) Whole
D) Rational
E) Real
Answers
Answer: D and E
Step-by-step explanation:
It is not an integer because it is represented by a fraction it is not an irrational number because it can be represented by the decimal 0.75. It is not a whole number because it is a fraction. It is rational because the decimal numbers do not go on forever and it is not an imaginary number so it is a real number.
Determine if (2, -1) is a solution to the system of equations:
2x−y=5
y=3x−7
Justify your answer using mathematics.
Is the coordinate a solution?
yes or no
Answers
The solution to the system of equations is (x, y) = (2, -1).
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
WE are given the system of equations
2x−y=5
y = 2x - 5
y=3x−7
Adding the two equations Then divide by 2
Subtracting the second equation from the first gives;
0 = x -2
x = 2
y = -1
therefore, The solution is (x, y) = (2, -1).
The solution to the system of equations is (x, y) = (2, -1).
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If a matrix A is 5 x 3 and the product AB is 5 x 7, what is the size of B?
Answers
The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].
Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.
Let A is a 3 x 5 matrix and B is a 5 x 7 matrix
We know that matrix multiplication of A and B is possible if
Number of columns of A = Number of rows of B
Since in the given problem
Number of columns of A = Number of rows of B = 5
So the product is possible
Now the product AB is a matrix of order 3 × 7
Now the order of the product AB is 3 × 7
If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.
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For the direct variation, find the constant of variation. Then find the value of y when x=-0.5 . y=2 when x=3
Answers
The constant of variation is 2/3, and when x = -0.5, the value of y is -1/3.
In a direct variation equation of the form y = kx, the constant of variation, k, represents the relationship between the variables y and x. To find the constant of variation, we can use the given data points. Let's use the point (3, 2). By substituting x = 3 and y = 2 into the equation, we have 2 = k * 3. Solving for k, we get k = 2/3.
Now, with the constant of variation, k = 2/3, we can find the value of y when x = -0.5. Substituting x = -0.5 into the equation y = kx, we have y = (2/3) * (-0.5). Simplifying this expression, we find y = -1/3. Therefore, when x = -0.5, the value of y is -1/3.
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tell whether descriptive or inferential statistics has been used. the chances of your being in an automobile accident this year are 2 out of 100.
Answers
The statement "the chances of your being in an automobile accident this year are 2 out of 100" is an example of descriptive statistics.
Descriptive statistics involves summarizing and describing data, such as presenting facts or characteristics of a particular population or sample. In this case, the statement provides information about the probability or likelihood of being in an automobile accident, specifically stating that the chances are 2 out of 100.
It describes a statistic related to the probability of an event happening, rather than making inferences or drawing conclusions based on data. Therefore, it falls under the category of descriptive statistics.
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is figure pqrstu a translation, reflection, or rotation? Explain your reasoning
PLEASE HELP ME
Answers
Answer: I'd say reflection
Answer:
It is a reflection
Step-by-step explanation:
In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
will mark brainliest for the correct answer
Answers
What is the value of (32)4 ?
Answers
Answer:
(32)4 or 32×4=128. the ( ) is just a separation line that kinda means times
Please help
45−3x=18x
Answers
Answer:
Your answer is: x = 15/7
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Please help, URGENTTTT
A circle is the collection of points in a plane that are the same distance from a given point in the plane. A. True B. False
Answers
a regular polygon has angles of size 150° each. how many sides has the polygon
Answers
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
The sum of the interior angles of a regular polygon is given by:
180∘n-360
Where n is the number of sides.
Lets call the sum S
Then:
180∘n−360=S [1]
If the sum of interior angles is S, then each angle is:
S/n
We are given 150∘ for each angles. So,
S/n=150∘[2]
From [2]
S=150n
Substituting in [1]
180n−360=150n
30n=360⇒n=12
The polygon has 12 sides.
Polygon ABCD with vertices at A(−4, 6), B(−2, 2), C(4, −2), D(4, 4) is dilated using a scale factor of one fourth to create polygon A′B′C′D′. Determine the vertices of polygon A′B′C′D′.
A′(−0.8, 1.2), B′(−0.4, 0.4), C′(0.8, −0.4), D′(0.8, 0.8)
A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)
A′(−2, 3), B′(−1, 1), C′(2, −1), D′(2, 2)
A′(−3, 4.5), B′(−1.5, 1.5), C′(3, −1.5), D′(3, 3)
Answers
The vertices of the new polygon A'B'C'D' is A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1) (optionB)
What are vertices of a polygon?A vertex is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object.
The vertices of the polygons are given as B(−2, 2), C(4, −2), D(4, 4) . The polygon is reduced by using a scale factor one fourth. i.e 1/4.
This means that each coordinates of the vertices will be reduced by 4 to give the vertices of the new polygon.
A = (-4,6) , A' = ( -1, 1.5)
B = ( -2,2) B' = ( -0.5, 0.5)
C = ( 4, -2) C' = ( 1, -0.5)
D = ( 4,4) , D' = ( 1, 1)
Therefore the vertices of the new polygon is A′(−1, 1.5), B′(−0.5, 0.5), C′(1, −0.5), D′(1, 1)
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Answer:
its not b i tried and it was wrong
Step-by-step explanation:
- 100
-V4
L.A.1
ints
3. What is the simplest form of
a. -51
b. 25i
c. -251
d. 5i
Answers
Answer:
- 5i
Step-by-step explanation:
sqrt(-100) / -sqrt(4)
We know that sqrt(a) / sqrt(b) = sqrt(a/b)
- sqrt(-100/4)
- sqrt(-25)
We know that sqrt(ab) = sqrt(a) sqrt(b)
- sqrt(25) sqrt(-1)
We know sqrt(-1) = i
Taking the principle value of sqrt(25)
- 5i
4. Write the ratio for cos M.
cos M = 24/25
cos M = 12/25
cos M = 24/7
cos M = 25/24
Answers
Answer:
24/25
Step-by-step explanation:
Hello There
\(cos = \frac{adjacent}{hypotenuse} \)
The adjacent of M is 24 and the hypotenuse is 25 so
\(cosm = \frac{24}{25} \)
Answer:
cos M= base/hypotenuse=KM/LM=24/25
we have 36 ft2 of material to build a box of maximum volume with a square base and no top. what is the area of the square base?
Answers
Answer:If 1200 square inch of material is available to make a box with a square base and no top
Step-by-step explanation:
Based on the record for the past several seasons, a sports fan believes the probability that the red team will win a given game is 3/5. The fan also believes the probability that the blue team wins and giving game is 11/20. As compared to the blue team, how many more games should the fan expect the red team to win during a 180-game season ? Explain.
Answers
Therefore, the probability that the red team wins is 60%, and the probability that the blue team wins is 55%, based on this we can conclude for a 180-game season:
\(180\times0.6=108\)The fan expect the red team wins 108 games
For the blue team:
\(180\times0.55=99\)As compared to the blue team, the red team:
\(108-99=7\)Will win 7 games more than the blue team
Graph the following equation on the graph C = 7250 + 205s
Answers
Answer:
See attachment
Step-by-step explanation:
Calculate 2 or 3 points using the equation, using small values of S that will fit on the paper. Add those points to the graph and draw a straight line between them.
Bruce is going to call one person from his contacts at random. He has 252525 total contacts. 202020 of those contacts are from his neighborhood.
What is \text{P(call a person not from his neighborhood})P(call a person not from his neighborhood)start text, P, left parenthesis, c, a, l, l, space, a, space, p, e, r, s, o, n, space, n, o, t, space, f, r, o, m, space, h, i, s, space, n, e, i, g, h, b, o, r, h, o, o, d, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Answers
The probability of calling a person, not from his neighborhood, is 1/5 or 0.2 if the total number of contacts is 25
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
Total number of contacts = 25
Total number of contacts of neighbors = 20
Total number of contacts which is not of the neighbors = 25 - 20 = 5
The probability of call a person not from his neighborhood:
P = 5/25 = 1/5
P = 0.2
Thus, the probability of calling a person, not from his neighborhood is 1/5 or 0.2 if the total number of contacts is 25
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Answer: 1/5 or 0.2
Step-by-step explanation:
select the equivalent expression
Answers
Answer:
the answer is C :)
Step-by-step explanation:
Members of the swim team want to wash their hair. The bathroom has less than 560056005600 liters of water and at most 2.52.52, point, 5 liters of shampoo. 70L+60S < 560070L+60S<560070, L, plus, 60, S, is less than, 5600 represents the number of long-haired members LLL and short-haired members SSS who can wash their hair with less than 560056005600 liters of water. 0.02L+0.01S \leq 2.50.02L+0.01S≤2.50, point, 02, L, plus, 0, point, 01, S, is less than or equal to, 2, point, 5 represents the number of long-haired members and short-haired members who can wash their hair with at most 2.52.52, point, 5 liters of shampoo. Does the bathroom have enough water and shampoo for 888 long-haired members and 777 short-haired members?
Answers
Answer:
Yes, both shampoo and water will be enough
Given that:
Number of long and short hair member who can wash their hair ; with amount of water less than 5600 litres
To check if bathroom has enough water and shampoo for 8 long haired and 7 short haired members.
L = long-haired ; S = short-haired
70L+ 60S < 5600
Check the constraint for amount of water :
70L+ 60S < 5600
L = 8 ; S = 7
70(8) + 60(7) < 5600
560 + 420 < 5600
980 < 5600
Constraint satisfied
Number of long and short hair member who can wash their hair with shampoo not more than 2.5 litres
0.02L + 0.01S ≤ 2.5
L = 8 ; S = 7
0.02(8) + 0.01(7) ≤ 2.5
0.16 + 0.07 ≤ 2.5
0.23 ≤ 2.5 (constraint satisfied).
Answer:
There's enough water and shampoo.
Step-by-step explanation:
Got answer from khan
Find the difference between points M(6, 16) and Z(-1, 14) to the nearest tenth.
Answers
The distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:
d = √((x2 - x1)² + (y2 - y1)²)
where (x1, y1) and (x2, y2) are the coordinates of the two points. Substituting the coordinates of M(6, 16) and Z(-1, 14), we get:
d = √((-1 - 6)² + (14 - 16)²) = √(49 + 4) = √53 ≈ 7.1
Therefore, the distance between points M(6, 16) and Z(-1, 14) is approximately 7.1 units.
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Two friends, Francisco and Zoe, had just bought their first cars. Zoe uses 14 gallons of gas to drive 390.6 miles in her car. The graph below represents the number of miles, y, that Francisco can drive his car for every x gallon of gas.
Answers
Using linear function to solve this problem, for every 1 gallon of gas, Francisco travelled 27.9 miles
Linear FunctionA linear function is a function that represents a straight line on the coordinate plane. For example, y = 3x - 2 represents a straight line on a coordinate plane and hence it represents a linear function. Since y can be replaced with f(x), this function can be written as f(x) = 3x - 2. A linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. Isn't it looking like the slope-intercept form of a line which is expressed as y = mx + b? Yes, this is because a linear function represents a line, i.e., its graph is a line. where m is slope of the line and b is the y - intercept
We can use the data given in writing out our equation
y = Number miles coveredx = number of gallon390.6 = 14x
If 14 gallons = 390.6 miles
1 gallon = x miles
x = 390.6 / 14
x = 27.9 miles
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Molly buys a necklace for $400 on her credit card, which charges 21% simple interest. How much interest will be added after 6 months? Write an equation and solve the problem.
Answers
Answer:
$106.50
Step-by-step explanation:
HELP PLEASE IM FAILING!!!The Horizon Resort charges $150 per night for a single room, and a one-time
valet parking fee of $35. If a person stays 4 nights what is the total cost? Make an equation
Answers
The total cost is $635.
An equation to solve this would be 150x · 35 = 635 with x equaling 4, or 150(4) · 35 = 635. Glad I could help. PLEASE GIVE BRAINLIEST. I NEED 5 OF THEM TO LEVEL UP.
Please help me understand this question.
