Suppose X is a normal random variable with mean μ-53 and standard deviation σ-12. (a) Compute the z-value corresponding to X-40 b Suppose he area under the standard normal curve to the left o the z-alue found in part a is 0.1393 What is he area under (c) What is the area under the normal curve to the right of X-40?
Answers
Given, a normal random variable X with mean μ - 53 and standard deviation σ - 12. We need to find the z-value corresponding to X = 40 and the area under the normal curve to the right of X = 40.(a)
To compute the z-value corresponding to X = 40, we can use the z-score formula as follows:z = (X - μ) / σz = (40 - μ) / σGiven μ = 53 and σ = 12,Substituting these values, we getz = (40 - 53) / 12z = -1.0833 (approx)(b) The given area under the standard normal curve to the left of the z-value found in part (a) is 0.1393. Let us denote this as P(Z < z).We know that the standard normal distribution is symmetric about the mean, i.e.,P(Z < z) = P(Z > -z)Therefore, we haveP(Z > -z) = 1 - P(Z < z)P(Z > -(-1.0833)) = 1 - 0.1393P(Z > 1.0833) = 0.8607 (approx)(c)
To find the area under the normal curve to the right of X = 40, we need to find P(X > 40) which can be calculated as:P(X > 40) = P(Z > (X - μ) / σ)P(X > 40) = P(Z > (40 - 53) / 12)P(X > 40) = P(Z > -1.0833)Using the standard normal distribution table, we getP(Z > -1.0833) = 0.8607 (approx)Therefore, the area under the normal curve to the right of X = 40 is approximately 0.8607.
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Simplify (3-4/ )/(2 + 6i ).
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Answer:-2-6i
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Order each set of integers from least to greatest (15, 17, 21, 6,3)
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Answer:
3, 6, 15, 17, 21.
Step-by-step explanation:
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rereciporical of 3.5??
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Answer:
B
Step-by-step explanation:
3 5/6 = 23/6
Reciprocal: 6/23 i hope you pass(ﾉ◕ヮ◕)ﾉ*:･ﾟ✧
Describe the end behavior of each function using arrow notation.1. f(x) = -x^3 + 7x^2 - 112. f(x) = -x^3 + 2x + 53. f(x) = 6x^5 - 4x
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Write the equation:
Jerry has a new job and earns a salary of $45, 000. Victoria has a
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It’s a pretty simple question
Eleven people were given 46 grams (1. 6 ounces) of dark chocolate every day for two weeks, and their vascular health was measured before and after the two weeks. Larger numbers indicate greater vascular health, and the mean increase for the participants was 1. 3 with a standard deviation of 2. 32. Assume a dotplot shows the data are reasonably symmetric with no extreme values. Find and interpret a 90% confidence interval for the mean increase in this measure of vascular health after two weeks of eating dark chocolate. Can we be 90% confident that the mean change for everyone would be positive?
(a) What is the margin of error for the confidence interval found in Example 1?
(b) What sample size is needed if we want a margin of error within ±0. 5, with 90% confidence? (Use the standard deviation from the original sample to estimate σ. )
Answers
The 90% confidence interval for the mean increase in vascular health after two weeks of eating dark chocolate is approximately 0.41 to 2.19. Therefore, we can be 90% confident that the true mean change for everyone falls within this range.
What is the 90% confidence interval for the mean increase in vascular health after two weeks of eating dark chocolate?Based on the given data, the mean increase in vascular health after two weeks of eating dark chocolate is 1.3, with a standard deviation of 2.32. By constructing a 90% confidence interval, we can estimate the range within which the true mean change in vascular health for the population lies. Using the formula for a confidence interval, the margin of error is calculated as the product of the critical value (corresponding to the desired confidence level) and the standard deviation divided by the square root of the sample size.
In this case, the margin of error for the 90% confidence interval is (1.645 * 2.32) / √11 ≈ 1.05. The confidence interval is then obtained by subtracting and adding the margin of error to the sample mean. Therefore, the 90% confidence interval for the mean increase in vascular health is approximately 1.3 ± 1.05, which translates to a range of 0.41 to 2.19. This means that we are 90% confident that the true mean change in vascular health after two weeks of eating dark chocolate falls within this interval.
To address whether we can be 90% confident that the mean change for everyone would be positive, we examine whether the lower bound of the confidence interval is above zero. In this case, since the lower bound of the interval is 0.41, which is greater than zero, we can indeed be 90% confident that the mean change in vascular health for the population is positive.
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ish gib chu 5 points nowz tak it andz goes.
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Answer:
thank you for free points chu is da best
Step-by-step explanation:
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( • . •)
now i takes and goes thanks chu is da best person in da world
Answer:
ty tyish gib some bacc qt uwu
Ronald is asked to roll a die (numbered 1 to 6) and flip a quarter (heads and tails).
What is the probability that he will roll a 4 and the quarter will be tails? Round to the nearest percent.
A: 8%
B: 16%
C: 25%
D: 11%
Answers
Answer:
A: 8%
Step-by-step explanation:
The probability of rolling a 4 is 1/6.
The probability of tails is 1/2.
The probability of both is 1/6 × 1/2 = 1/12 ≈ 0.0833, or about 8%.
In the library of a small town, the mean cost of new books is the same as the median cost of new books. The distribution of book costs is:
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If the mean cost of new books is the same as the median cost of new books in a small town library, the distribution of book costs is most likely normal with a symmetrical peak at the center.
In the library of a small town, the mean cost of new books is the same as the median cost of new books. The distribution of book costs is likely symmetrical with a single peak at the center, as in the normal distribution. In other words, the distribution of book costs is most likely to be normal when the median cost and the mean cost are the same. Therefore, if the mean cost of new books in the library of a small town is the same as the median cost of new books, it suggests that the distribution of book costs is normal. A normal distribution is one in which the median, mode, and mean are equal, as well as symmetrical. The median is the middle value in a sorted data set, whereas the mean is the average of all the data in the set. In conclusion, if the mean cost of new books is the same as the median cost of new books in a small town library, the distribution of book costs is most likely normal with a symmetrical peak at the center.
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Elena is 59 inches. Some people are taller than Elena
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The height of Andre, given the height of Elena is 63 inches tall.
The height of Lin is 65 .5 inches tall.
The height of Noah is 59 + d inchs tall.
How tall are the people?The height of the other people given which include Andre, Lin, and Noah, are all dependent on the height of Elena.
Andre is 4 inches taller than Elena so the height is:
= 59 + 4
= 63 inches
The height of Lin is:
= 59 + 6 .5
= 65 .5 inches
The height of Noah is:
= 59 + d inches
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604 divided by 5 what is the remainder
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a) 2x -1.5 = 2x - 1.5
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b) 2v + 4 = -1
Answers
Answer:
a) all real numbers
b) v = -2.5
Step-by-step explanation:
a) 2x - 1.5 = 2x - 1.5
subtract 2x from both sides of the equation
2x - 1.5 - 2x = 2x - 1.5 - 2x
1.5 = 1.5
since 1.5 will always equal 1.5 regardless of what x is,
the solution is all real numbers
b) 2v + 4 = -1
subtract 4 from both sides of the equation
2v + 4 - 4 = - 1 - 4
2v = -5
divide both sides of the equation by 2
2v/2 = -5/2
v = -2.5
What value is equivalent to 2 × 3 + 4 − 62?
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Answer:
-52
Step-by-step explanation:
I hope this helps!
Answer: -52
Step-by-step explanation: Using PEMDAS
(2x3)+4-62
6+4-62
10-62
= -52
Can the equation below be used to solve the following problem? If not, explain why.
0.75x + 3 = 0.25x + 5.25
Joseph has $3.00 in his piggy bank and he adds $0.75 each day. Kelsey has $5.25 in her piggy bank and she spends $0.25 each day. When will Joseph and Kelsey have the same amount in their piggy banks?
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Answer: \(m^{\frac{-bc^{2} + a^{2}b + ac^{2} - a^{3}}{a^{2}bc^{2}}\)
Find the volume of the square pyramid (round to the 10th place, if necessary)
Answers
Answer
58.3 in^3
Explanation
The volume of a square base pyramid is given by:
\(\begin{gathered} Volume=\frac{1}{3}\times base\text{ area }\times vertical\text{ height} \\ \text{Base area =Area of the square base = 5 x 5 = 25 in}^2 \\ \text{Vertical height = 7 in} \\ \Rightarrow Volume=\frac{1}{3}\times25\times7 \\ Volume=\frac{175}{3} \\ Volume=58.3^{}in^3 \end{gathered}\)Dan made $5.38 for a half hour of work. At Dan's current rate of pay, how much would Dan make for 8 hours of work?
WILL RECIEVE ANYTHING YOU WOULD LIKE
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Answer:
107.6
Step-by-step explanation:
5.38 is how much is made in half an hour so I multiplied that by 2 to get the complete hour then multiplied that by 8
Answer: I am pretty sure it’s 87.08
Step-by-step explanation:
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Answer:
35√(7)
Step-by-step explanation:
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How would the domain and range of the function
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4
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Answer:
Step-by-step explanation:
I will focus on your function y = -x - 6.
First of all, this is a linear function. All linear functions have unlimited domain and range: (negative infinity, positive infinity).
If you meant (1/4)y = - x - 6, exactly the same response would be true.
Given that ZQRP = (2x + 20) and ZPSQ = 30°, find the value of x.
Answers
The value of x is 65. Please note that this solution is based on the assumption that the angles QRP and PSQ are supplementary. If this assumption doesn't hold, feel free to let me know.
We need to find the value of x in the equation ZQRP = (2x + 20)° given that ZPSQ = 30°. Since the question doesn't provide enough information about the relationship between angles QRP and PSQ, I'll assume that they are supplementary angles (angles that add up to 180°). This assumption is based on the possibility that the angles form a straight line or a linear pair.
If angles QRP and PSQ are supplementary, their sum is 180°:
(2x + 20)° + 30° = 180°
Now, we can solve for x:
2x + 50 = 180
Subtract 50 from both sides:
2x = 130
Divide by 2:
x = 65
Determine whether the given function is even,odd,or neither f(x)=2x^2+x^4
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The value where the histogram balances when supported at that point is called ____.
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The value where the histogram balances when supported at that point is called the mode of the distribution.
The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.
For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.
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Is it a function or no it’s not a function ?
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Answer:
A linear function is a function whose graph is a straight line. The line can't be vertical, since then we wouldn't have a function, but any other sort of straight line is fine.
Step-by-step explanation:
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a way to check for the graph of a function is by using the vertical line test, if vertical lines hit the graph only once, then the graph is the graph of a function. Check the picture below.
On a coordinate plane, 2 solid straight lines are shown. The first line has a negative slope and goes through (negative 4, negative 2) and (0, negative 3). Everything above the line is shaded. The second line has a positive slope and goes through (0, negative 2) and (2, 2). Everything above the line is shaded.
Which number completes the system of linear inequalities represented by the graph?
y > 2x – 2 and x + 4y >
Answers
A number that completes the system of linear inequalities represented by the graph is -12.
What is the slope-intercept form?In Mathematics and Geometry, the slope-intercept form of the equation of a straight line is given by this mathematical equation;
y = mx + b
Where:
m represent the slope or rate of change.x and y are the points.b represent the y-intercept or initial value.Let the unknown number be n.
Based on the information provided above, we have the following system of linear inequalities:
y > 2x – 2
x + 4y > n
Since the point (0, -3) lie on the inequality x + 4y > n, we have:
x + 4y > n
0 + 4(-3) > n
-12 > n
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Answer:
A. -12
Step-by-step explanation:
A torch and a battery cost £2.50 altogether.
The torch costs £1.50 more than the battery.
What fraction of the total price is the torch?
Give your answer in its simplest form.
PLEASE CHECK UR ANSWER
Answers
Answer:
1 1/2 i think
Step-by-step explanation: to find out the batteries price you subtract 2.50 from 1.50 and get 1 then convert to fractions so 1 1/2 and 1 and when you add them together you get the total price so the torch accounts for 1 1/2 of the total price.
\(6 \times x = - 24\)
What is the missing number?
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if rx y= 0.83, then we can conclude that x and y have a relatively
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If rxy = 0.83, we can conclude that x and y have a relatively strong positive linear relationship or correlation.
The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables, in this case, x and y. The value of r ranges between -1 and 1. A positive value indicates a positive relationship, meaning that as one variable increases, the other variable tends to increase as well.
In this case, with rxy = 0.83, the correlation coefficient is close to 1, suggesting a strong positive linear relationship. This means that when x increases, y also tends to increase, and vice versa. The closer the value of r is to 1, the stronger the linear relationship between x and y.
It is important to note that correlation does not imply causation. While a high correlation coefficient indicates a strong linear relationship, it does not provide information about the underlying cause or direction of the relationship between the variables. Other factors and variables may influence the relationship, and further analysis may be required to understand the nature of the relationship between x and y.
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simplify
6 ÷ 3 + 32 · 4 − 2
Answers
Answer:
128 <33
Step-by-step explanation:
6 ÷ 3 + 32 • 4 - 2 = 128
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Write down the two inequalities that define the shaded region in the diagram
Answers
The two inequalities that define the shaded region in the diagram are:
y ≥ 4 and y < x
How to Write Inequalities that define the Shaded Region?For the solid vertical line, the slope (m) is 0. The inequality sign we would use would be "≥" because the shaded region is to the left and the boundary line is solid.
The y-intercept is at 4, therefore, substitute m = 0 and b = 4 into y ≥ mx + b:
y ≥ 0(x) + 4
y ≥ 4
For the dashed line:
m = change in y / change in x = 1/1 = 1
b = 0
the inequality sign to use is: "<"
Substitute m = 1 and b = 0 into y < mx + b:
y < 1(x) + 0
y < x
Thus, the two inequalities are:
y ≥ 4 and y < x
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