Options A and B are the most likely to occur, but they still have a small probability of occurring. The other options are much less likely to occur.
what is probability?
Probability is a branch of mathematics that deals with the study of random events or outcomes.
Since there are 20 cubes in the bag, each cube has a probability of 1/20 of being drawn on any given draw, assuming that each cube is equally likely to be drawn.
A) The probability of drawing a blue cube on any given draw is 3/20. Drawing a blue cube 15 times in 100 draws would have a probability of (3/20)^15 * (17/20)^85 * 100C15, which is an extremely small probability. However, since the question asks what we would expect to occur, we might still select this option.
B) The probability of drawing a red cube on any given draw is 8/20, or 2/5. Drawing more than two times as many red cubes as blue cubes in 100 draws would mean drawing at least 10 red cubes and at most 5 blue cubes. This is equivalent to drawing at least 10 red cubes in 90 draws, which has a probability of approximately (2/5)^10 * (3/5)^90 * 100C90. This is also a small probability, but again, we might still select this option.
C) The probability of drawing a red cube on any given draw is 8/20, or 2/5. Drawing a red cube 40 times in 100 draws would have a probability of (2/5)^40 * (3/5)^60 * 100C40, which is also a small probability.
D) The probability of drawing a green cube on any given draw is 9/20. Drawing a green cube 45 times in 100 draws would have a probability of (9/20)^45 * (11/20)^55 * 100C45, which is again a small probability.
E) Drawing 50 blue cubes in 100 draws is equivalent to drawing a blue cube on every draw. This would have a probability of (3/20)^100, which is an extremely small probability.
Therefore, options A and B are the most likely to occur, but they still have a small probability of occurring. The other options are much less likely to occur.
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I will mark you brainiest!
Which set of coordinates, when paired with (-3, -2) and (-5, -2), result in a square?
A) (-5, -2) and (-3, -2)
B) (-3, 0) and (0, -2)
C) (-3, 0) and (-5, 0)
D) (0, -2) and (0, -3)
4. Find the area of the following figure.
10 cm
16 cm
10 cm
12 cm
The correct option is 312 cm² as the area of the composite figure calculated to be equal to 312 square centimeters.
How to calculate for the area of the figureThe composite figure can be observed to be made up of two identical triangle and a rectangle, so we shall calculate for the area of one triangle, multiply the result by 2, and add the area to the area of the rectangle to get the total area of the composite figure as follows:
area of one of the triangle = 1/2 × 12 cm × 10 cm
area of one of the triangle = 6 cm × 10 cm
area of one of the triangle = 60 cm²
area of one of the two triangle = 2 × 60 cm²
area of one of the two triangle = 120 cm²
area of the rectangle = 16 cm × 12 cm
area of the rectangle = 192 cm²
total area of the composite figure = 120 cm² + 192 cm²
total area of the composite figure = 312 cm²
Therefore, the area of the composite figure is equal to 312 square centimeters.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Your parents are buying a house for $187,500. They have a good credit rating, are making a 20% down payment, and expect to pay $1,575/month. The interest rate for the mortgage is 4.65%. What must their realized income be before each month?
Be sure to include the following in your response:
The answer to the original question
The mathematical steps for solving the problem demonstrating mathematical reasoning
Their realized income must be $567,000 per year to make the monthly payments on the mortgage.
How much does a mortgage interest rate cost?The average interest rate on a 30-year fixed mortgage as of today, March 9, 2023, is 7.13%, up 7 basis points from one week ago. The average 30-year fixed refinancing interest rate is currently 7.12%, which is a decrease of 2 basis points over the previous week.
We must apply the following calculation to compute the amount of money needed each month to pay the mortgage:
Payment each month is (P * r) / (1 - (1 + r)(-n))
where:
P is the principal sum (the amount of the house minus the down payment)
r is the ongoing interest rate (annual interest rate divided by 12)
n is the overall number of payments (number of years multiplied by 12)
The major sum, as far as we are aware, is:
P = $187,500 - (20% * $187,500) = $150,000
The monthly interest rate is as follows because we also know that the interest rate is 4.65%:
r = 0.0465 / 12 = 0.003875
Finding the total number of payments is our last step. The number of months it will take to pay off the mortgage may be calculated using the knowledge that they will be paying $1,575 per month:
$1,575 = ($150,000 * 0.003875) / (1 - (1 + 0.003875)^(-n))
This equation is simplified, and the result is:
1 - (1 + 0.003875)^(-n) = ($150,000 * 0.003875) / $1,575
(1 + 0.003875)^(-n) = 1 - (($150,000 * 0.003875) / $1,575)
(-n) * log(1 + 0.003875) = log(1 - (($150,000 * 0.003875) / $1,575))
n = log(1 - (($150,000 * 0.003875) / $1,575)) / log(1 + 0.003875)
Calculating n, we discover that it roughly corresponds to 360 months (or 30 years).
Their realised income must therefore be:
Realized income is $1,575 multiplied by 12 months in a year for 30 years, or $567,000 annually.
Their realised income must be $567,000 annually in order to cover the mortgage payments.
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An individual stock is selected at random from the portfolio represented by the boxand-whisker plot shown. Find the probability that:
a. The stock price is less than $51
b. The stock price is between $22 and $51
c. The stock price is $30 or more
The portfolio depicted as a box-and-whisker plot has a random selection of one stock, with probabilities of 0.51, 0.50, and 0.50.
The probability formula is what?The probability is frequently described as the ratio of favourable results to all favourable results in the sample. The likelihood of an occurrence P(E) = (The number of favorable events) is how it is stated (Sample space).
What are the basics of probability?Probability is just the possibility that something will happen. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Biostatistics seems to be the analysis of occurrences with a probability distribution.
Given the box plot,
(a)
[tex]P(X < 51) = 0.51[/tex]
(b)
[tex]P(22 < X < 51) = 0.50[/tex]
(c)
[tex]P(X \geq 30) = 0.50[/tex]
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Find the (unique) solution to the following systems of equations, if possible, using Cramer's Rule.
(a) x + y = 34 2x - y = 30
(b) 2x - 3y = 5 -4x + 6y = 10
(c) 3x + y = 7 2x - 2y = 7
After answering the presented question, we can conclude that As a equation result, the system of equations solution is [tex]x = 64/3 \\and \\y = 62/3.[/tex]
What is equation?In mathematics, an equation is a statement that states the equality of two expressions. An equation consists of two sides separated by an algebraic equation (=). The argument "2[tex]x + 3 = 9,"[/tex] for example, states that the sentence "2x Plus 3" equals the value "9." The goal of solving equations is to find the value or values of the variable(s) that will allow the equation to be true. Equations can be simple or complex, linear or nonlinear, and contain one or more parts. In the equation [tex]"x^2 + 2x - 3 = 0,"[/tex] the variable x is raised to the second power. Lines are used in many areas of mathematics, including algebra, calculus, and geometry.
[tex](a) x + y = 34[/tex]
[tex]2x - y = 30[/tex]
The matrix of coefficients is | 1 1 | | 2 -1 |
This matrix's determinant is 130 - 342 = -62.
We can obtain the values of x and y using Cramer's Rule as follows:
[tex]x = det(A1)/det(A) = (-64)/(-3), = 64/3.[/tex]
[tex]y = det(A2)/det(A) = (-62)/(-3), = 62/3.[/tex]
As a result, the system of equations solution is [tex]x = 64/3 and y = 62/3.[/tex]
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Line h is graphed on a coordinate plane. The equation y=−52x+3 describes line h . Line j contains the point (0,2) and is parallel to line h . Which equation describes line j ? Responses
Step-by-step explanation:
a parallel line has the same slope. they just have different y-intersects (the y- value when x = 0).
the slope is the factor of x : -53
the y-intercept is given with the provided point (0, 2).
so, line j is
y = -53x + 2
please help with this i beg you
Answer:
To make the piano player's practice seem consistent, adjust the Y-axis scale, use a line graph, and add a trend line or moving average.
Step-by-step explanation:
To adjust the graph to make it seem like the piano player is pretty consistent in practicing, we can make the following changes:
Adjust the scale of the Y-axis to make the differences in the average practice times appear smaller. For example, we can change the range of the Y-axis from 0-15 to 8-14, since all the data points fall within this range. This would compress the data vertically and make the differences in the average practice times appear smaller.
Use a line graph instead of a bar graph to better show the trend of the data over time. This would allow us to see any patterns or trends in the average practice times over the course of the year.
Add a trend line or moving average to the graph to show the overall trend in the data and smooth out any fluctuations. This would further emphasize the consistency in the piano player's practice habits.
By making these adjustments, the graph would show that the piano player is consistently practicing for around 10-11 hours per week throughout the year, with some slight variations. This would convey the message that the piano player is dedicated and consistent in their practice habits.
Hope this helps! I'm sorry if it's wrong. If you need more help, ask me! :]
Graph the linear equation by finding and plotting its intercepts.
x-y=1
Answer: To graph the linear equation x - y = 1, we can find its intercepts by setting one of the variables to zero and solving for the other.
Step-by-step explanation:
Setting x = 0, we get:
0 - y = 1
Solving for y, we get:
y = -1
So the y-intercept is (0, -1).
Setting y = 0, we get:
x - 0 = 1
Solving for x, we get:
x = 1
So the x-intercept is (1, 0).
Now we can plot the intercepts on a coordinate plane and draw a straight line passing through them:
|
| .
| .
| .
| .
| .
| .
------------------------------------------
| | | | |
-2 -1 0 1 2
Therefore, the graph of the linear equation x - y = 1 is a straight line passing through the points (0, -1) and (1, 0).
Help ASAP PLEASE Determine the scale factor used to create the image
A 1/2
B 2
C1/4
D 4
Answer:
The answer is B)2
Step-by-step explanation:
As you can see, the length and height of the bigger rectangle is twice the length and height of the smaller rectangle.
Elsa has completed 56 deliveries so far this week. She needs to make 70 deliveries for the week. What percentage of her deliveries has Elsa completed?
Answer:
80 percent
Step-by-step explanation:
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 14, 16, 18, ...14,16,18,....
The n-th term οf the sequence is given by the fοrmula a_n = 2n + 12.
What is Arithmetic Prοgressiοn?An arithmetic prοgressiοn is a sequence οf numbers where each term is οbtained by adding a fixed value (called the cοmmοn difference) tο the previοus term. It is a type οf sequence that fοllοws a specific pattern, where the difference between cοnsecutive terms is cοnstant. Arithmetic prοgressiοns are cοmmοnly used in mathematics and variοus fields such as finance, physics, and cοmputer science.
The given sequence has a cοmmοn difference οf 2 between cοnsecutive terms. Therefοre, we can find the n-th term by adding (n-1) times the cοmmοn difference tο the first term οf the sequence.
The first term οf the sequence is 14, and the cοmmοn difference is 2.
Sο, the explicit fοrmula fοr the n-th term οf the sequence is:
a_n = 14 + 2(n-1)
Simplifying, we get:
a_n = 2n + 12
Therefοre, the n-th term οf the sequence is given by the fοrmula a_n = 2n + 12.
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Please help! For each function, state whether it is linear, quadratic, or exponential.
The types of functions are as follows:
1) Quadratic function
2) None of the above
3) Exponential function.
What is a function?
A relation between a set of inputs and a set of allowable outputs is called a function. It has the property that every input is associated with exactly one output. A function from one set X to another allocates precisely one element of the other set Y to each element of X. Both the set X and the set Y are referred to as the function's domain and codomain, respectively. The basic conception of functions was the relationship between fluctuating quantities and other variables.
The ways to determine the different functions are as follows:
a) If for a constant change in x-values, the y-values also change constantly, the function is linear.
b) If as the x values change constantly, the y- values also change, but the difference in differences of y-values remains constant, then the function is quadratic.
c) If the ratio between two consecutive y- values is the same, when x-values change constantly, then the function is exponential.
Let us look into each function.
1) x-values are increasing constantly by one.
The difference in y-values are:
13-7 = 6
21-13 = 8
31-21 = 10
43-31 = 12
Now the difference of difference in y-values.
8-6 = 2
10-8 = 2
12-10 = 2
This is constant. So the function is a quadratic function.
2) The difference in y-values are:
-6+21 = 15
-21+30 = 9
-33+30= -3
-30 + 33 = 3
This function can be categorised as none of the above.
3) The ratio of the consecutive y-values are:
-12/-3 = 4
-48/-12 = 4
-192/-48 = 4
-768/-192 = 4
Since the ratio is constant, the function is an exponential function.
Therefore the types of functions are as follows:
1) Quadratic function
2) None of the above
3) Exponential function.
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In the figure below, there are three right trangles. Complete the following.
(a) Write a similiarity statement relating the three right triangles.
(b)Complete each proportion.
a. ΔEGF~ΔGHF~ΔEHG are the similarities between the three right triangles.
b. HF/HG = GH/EH; EF/EG = EG/EH
Information about Similar Triangles?According to the similar right triangle theorem, if a right triangle's altitude is drawn from its right angle, two similar right triangles are created, and both similar right triangles are identical to the original right triangle. All three right triangles are essentially the same.
Similar triangles contain three pairs of comparable side lengths that are proportionate to one another, or whose ratios are identical.
The corresponding side lengths are taken into account when constructing similarity statements.
A similarity assertion linking the three right triangles is thus: ΔEGF~ΔGHF~ΔEHG.
b. They will have the following side ratios: EF/EG = EG/EH HF/HG = GH/EH
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simplify the following algebric expression X^2-x-12/x^2-4
Step-by-step explanation:
So first of all u going to make sure all the base is the same so it 's easier for u to simplify
and then after that in order to make all the base the same so u need to multiple (x²-4) ...
Consider the given function.
ƒ(1): =
5,
I < -2
3, -2 <=<0
0,
0 <=<2
> 2
-3,
Which graph represents the given function?
A graph that represent the given function include the following: graph C.
What is a piecewise-defined function?In Mathematics, a piecewise-defined function can be defined as a type of function that is defined by two (2) or more mathematical expressions over a specific domain.
By critically observing the graph of the piecewise-defined function g shown in the image attached below, we can logically deduce the following functions;
When the domain is x < -2, we have:
f(x) = 5 (< should be used because the endpoint is an open circle).
When the domain is -2 ≤ x < 0, we have:
f(x) = 3 (< should be used because the endpoint is an open circle and ≤ for the closed circle).
When the domain is 0 ≤ x < 2, we have:
f(x) = 0 (< should be used because the endpoint is an open circle and ≤ for the closed circle).
When the domain is x ≥ 2, we have:
f(x) = -3 (≥ should be used because the endpoint is a closed circle).
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the area is 32cm2 pls solve find the total shaded area
The triangular system has, by means of fractions, a total shaded area of 27 / 2 square centimeters.
How to determine the total shaded area of a triangleIn this problem we have the area of an entire triangle, from which we need to determine the total shaded area, this can be done by subtracting triangles from the entire triangle, by means of fractions, whose complete operation is shown below:
A = 32 - (1 / 4) · 32 - (3 / 4) · (1 / 4) · 32 - (3 / 4)² · (1 / 4) · 32
A = [1 - 1 / 4 - (3 / 4) · (1 / 4) - (3 / 4)² · (1 / 4)] · 32
A = 27 / 2 cm²
Please notice that shaded areas are positive and blank areas are negative.
By means of fractions, the total shaded area of the triangular system is equal to 27 / 2 square centimeters.
RemarkThe statement is incomplete. After a quick investigation we conclude that the complete statement is the following:
The area of a complete triangle (without blank spaces) is 32 square centimeters, please compute the total shaded area, that is, the area of the composite figure seen in the figure.
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Pleaseeeeeeeeeeeee help
Answer:
Step-by-step explanation:
i cant see good
Answer:
I think it would be commutative property
Step-by-step explanation:
the commutative property states that the numbers on which we operate can be moved or swapped from their position without making any difference to the answer. The commutative property only works with addition and multiplication.
I need help with this please
Answer:
2500ml
Step-by-step explanation:
1litre=1000millilitres
2.5=?
=2.5×1000
=2500millilitres
factoring polynomial x(6x-1)-3(6x-1)
The factored version of the provided polynomial is (6x-1) according to the given assertion.(x-3).
What in mathematics is a polynomial?An expression that consists of variables, factors, and exponents and is mixed using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial. (No division operation by a variable).
To factor the polynomial x(6x-1)-3(6x-1), we can first simplify the expression by factoring out the common factor of (6x-1):
x(6x-1)-3(6x-1) = (6x-1)(x-3)
Therefore, the factored form of the given polynomial is (6x-1)(x-3).
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Find the Value of X using trigonometry. Round your answer to the nearest tenth.
Answer:
x ≈ 46.1
Step-by-step explanation:
using the sine ratio in the right triangle
sin19° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{15}{x}[/tex] ( multiply both sides by x )
x × sin19° = 15 ( divide both sides by sin19° )
x = [tex]\frac{15}{sin19}[/tex] ≈ 46.1 ( to the nearest tenth )
Write the inverse of the function p(x)=4x - 8. Show all work for full credit.
Answer:
To find the inverse of the function p(x) = 4x - 8, we need to switch the x and y variables and solve for y.
Step 1: Replace p(x) with y.
y = 4x - 8
Step 2: Switch x and y variables.
x = 4y - 8
Step 3: Solve for y.
Add 8 to both sides:
x + 8 = 4y
Divide both sides by 4:
y = (x + 8)/4
Therefore, the inverse of the function p(x) = 4x - 8 is q(x) = (x + 8)/4.
Step-by-step explanation:
What is the rate of change in miles ran from September 18th to September 21st?
Douglas bought a $20 game card at a game center. The go-karts cost $3.50 each time you race. He wants to have at least $7.75 left on his card to play arcade games. Write and solve an inequality to determine how many times Douglas can race the go-karts. Then interpret the solution.
Answer:
3 races
Step-by-step explanation:
(Let t = total number of races)
Each race costs $3.50, so the total cost of racing t times is 3.50 × t or 350t. Douglas wants to have at least $7.75 left on his card, so an inequality to represent this would look like this:
20 - 3.50x >= 7.75Solving this inequality, we get:
-3.50x >= -12.25x <= 3.5Or we can do this.
20 - 3.50 = 16.50 (1st race)16.50 - 3.50 = 13.00 (2nd race)13.00 - 3.50 = 9.50 (3rd race)9.50 > 7.75Therefore, Douglas can race the go-karts 3 times and still have at least $7.75 left on his card to play arcade games.
Samuel has 7 cups of raisins. He uses 1/8 cup of raisins to make one muffin. How many muffins can be made with 7 cups of raisins?
Answer:
56 muffins
Step-by-step explanation:
Since it takes 1/8 cup to make one muffin, 1 cup can make 8 times as many muffins or 8 muffins with 1 cup of raisins
With 7 cups he can make 7 x 8 = 56 muffins
just now
Mathematics
College
Look at the relative-frequency table below of the probability distribution of the discrete random variable X, with X = "the number of pets in a household."
x P(X = x)
0 .09
1 .29
2 .42
3 .15
4 .05
What is the expected value of pets in a randomly selected household?
Answer: To find the expected value of X, we need to multiply each possible value of X by its probability and then add up the results:
E(X) = Σ(x * P(X = x))
where Σ denotes the sum over all possible values of X.
Using the table given, we have:
E(X) = 0 * 0.09 + 1 * 0.29 + 2 * 0.42 + 3 * 0.15 + 4 * 0.05
E(X) = 0 + 0.29 + 0.84 + 0.45 + 0.2
E(X) = 1.78
Therefore, the expected value of pets in a randomly selected household is 1.78.
Step-by-step explanation:
The high temperatures for several days are shown in the table. Which answer describes the average rate of change from day 3 to day 5?
Responses
The high temperature changed by an average of −6 degrees per day from day 3 to day 5.
The high temperature changed by an average of −2 degrees per day from day 3 to day 5.
The high temperature changed by an average of −4 degrees per day from day 3 to day 5.
The high temperature changed by an average of −3 degrees per day from day 3 to day 5.
"From days 3 to 5, the high temperature changed by an average of almost 4 degrees per day," is the appropriate answer.
How to determine the average rate of change?We can determine the average rate of change from day 3 to day 5 by splitting the difference in high temperature between those two days by the distance between them (which is 2), or 2.
The highest temps on Day 3 was 85°F.
The highest temperature on Day 5 was 77°F.
Extreme temperature variation: 77°F to 85°F equals -8°F
Between day three and day five, there are two days.
(Change in maximum temperature) / (number of days) yields an average rate of change of -8°F / 2°F per day.
This leads to the conclusion that the right response is "The high temperature changed by an average of 4 degrees per day from day 3 to day 5".
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If a firm has a production quota of 400=5x1^2+8x1x2+15x2^2, what combination of good x1 and x2 should the firm produce to minimize cost of C=x1^2+x2^2
The firm should produce good x₁ = 4 and x₂ = 8 to minimize cost of C = x₁² + x₂² .
What is Lagrange multipliers ?
Lagrange multipliers is a method used in optimization problems to find the maximum or minimum value of a function subject to one or more constraints. The method involves introducing a Lagrange multiplier, which is a scalar variable, to the objective function and the constraint(s). This forms the Lagrangian function, which is then optimized with respect to the original variables and the Lagrange multiplier.
To minimize the cost C = x₁² + x₂²
We can use the method of Lagrange multipliers to solve this problem. Let's define the Lagrangian function L as:
L(x₁, x₂, λ) = x₁²+ x₂² + λ(400 - 5x₁²- 8x₁x₂ - 15x₂²)
Taking partial derivatives of L with respect to x₁, x₂, and λ, we get:
∂L/∂x₁ = 2x₁ - 10λx₁ - 8λx₂ = 0
∂L/∂x₂ = 2x₂ - 30λx₂ - 8λx₁ = 0
∂L/∂λ = 400 - 5x₁² - 8x₁x₂ - 15x₂² = 0
Solving these equations simultaneously, we get:
x₁ = 4
x₂ = 8
λ = 1/20
Hence, the firm should produce a combination of x₁ = 4 and x₂ = 8 to minimize the cost of C = x₁² + x₂² while satisfying the production quota of 400.
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The mean weight of all Goliath grouper caught on the Treasure coast is 418 pounds, with a standard deviation of 74 pounds. Suppose a random sample of 39 Goliath Grouper from the Treasure Coast are caught and weighed.
Determine the probability that the average weight of the sample of 39 Goliath Grouper is within 14 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places, if necessary.
Therefore, the probability that the average weight of the sample of 39 Goliath Grouper is within 14 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast is approximately 0.2342 or 23.42%.
What is mean?In mathematics and statistics, the mean is a measure of central tendency of a set of numerical data. It is also known as the arithmetic mean or average, and is calculated by summing up all the values in the dataset and then dividing by the number of values. The mean provides a useful summary of the data as it gives an idea of the typical or average value in the dataset. It is commonly used in various fields, including finance, science, and social sciences, to analyze and interpret data. However, the mean can be sensitive to extreme values or outliers in the dataset, so it is important to consider other measures of central tendency, such as the median and mode, in addition to the mean.
Here,
We can approach this problem using the central limit theorem, which states that the distribution of sample means will be approximately normal, with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
Let's first calculate the standard error of the mean:
standard error of the mean = standard deviation / sqrt(sample size)
= 74 / √(39)
≈ 11.83
Next, we need to find the z-score corresponding to a sample mean within 14 pounds of the population mean:
z = (sample mean - population mean) / standard error of the mean
= (418 - 14 - 418) / 11.83
= -1.19
Using a standard normal distribution table or calculator, we can find that the probability of a z-score less than -1.19 is about 0.1171. Since we're interested in the probability that the sample mean is within 14 pounds of the population mean, we can multiply this probability by 2 to account for the area under the curve in both tails:
P(sample mean within 14 pounds of population mean) ≈ 2 * 0.1171 ≈ 0.2342
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nate went on a trip, and he used a table of values to repeatedly record the time he had been traveling and the distance from his starting point. The function represented by the table of values is linear, and the rate of change is 50 miles per hour. What is one way for Nate to determine the initial value?
After addressing the issue at hand, we can state that We know that when function x = 0, y = b because the function has the form y = mx + b.
what is function?Mathematicians investigate numbers and their varieties, equations and adjacent tissues, shapes but instead their locations, and potential locations for these things. The term "function" refers to the relationship here between set of inputs, each with its own output. A function is a relationship of both inputs and outputs in which each input results in a single, distinct production. Each function has its own domain, codomain, or scope. The letter f is commonly used to denote functions (x). An x represents entry. On functions, each capabilities, so several capabilities, in capabilities, and on operations are the four major types of accessible functions.
We know that the function represented by the table of values has the form y = mx + b because it is linear, where y represents the distance from Nate's starting point and x represents the time he has been travelling.
The rate of change is known to be 50 miles per hour. This means that Nate's distance from his starting point increases by 50 miles for every hour he travels. In other words, m equals 50.
We know that when x = 0, y = b because the function has the form y = mx + b.
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Using the Distributive Property as a good first step to solving the equation, you could simplify to get which of these choices?
5(4x + 3) = -4(5 - 2x)
Answer:
e
Step-by-step explanation:
5(4x +3)=-4(5-2x)
5×4x +5×3=-4 ×5 -4 × -2x
20x +15=-20+8x