The area under the normal curve between z = -2.0 and z = -1.0 is 0.1357.
This can be found using a standard normal distribution table or by using statistical software such as Excel or R.
Step-by-step explanation:
The normal distribution is a continuous probability distribution that is symmetric and bell-shaped. It is described by two parameters: the mean and the standard deviation. A standard normal distribution is one in which the mean is zero and the standard deviation is one. To find the area under the normal curve between two points, we first need to standardize those points by subtracting the mean and dividing by the standard deviation. This gives us the z-scores for those points. In this case, we have z1 = -2.0 and z2 = -1.0.
To find the area under the normal curve between these two points, we can use a standard normal distribution table or statistical software. Using a table, we look up the area to the left of z1 and the area to the left of z2 and then subtract the smaller area from the larger area. In this case, the area to the left of z1 is 0.0228 and the area to the left of z2 is 0.1587. Therefore, the area between z1 and z2 is 0.1587 - 0.0228 = 0.1357. This means that approximately 13.57% of the data falls between z = -2.0 and z = -1.0 under the normal curve.
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10. A line with a negative slope and a negative
y-intercept is graphed on a coordinate
plane. Which quadrant will the line not pass
through? Justify your response.
Answer:
The line will not pass through the first quadrant.
Step-by-step explanation:
Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.
if its assumptions are met, the analysis of variance technique is appropriate when ____.
Answer:
comparing the means of three or more groups
Step-by-step explanation:
The list shows numbers in order from least to greatest.
-15,-3,-1.5.2.3,5
Which is an integer that can be inserted on the blank line in the list?
0-2
0 - 11/1
O 0
O 1.2
The integer that can be inserted on the blank line in the list is: -2
How to complete the number line?The number line is given as:
-15, -3, ____, -1.5, 2, 3, 5
Now, a number line is defined as a line on which numbers are marked at intervals, used to illustrate simple numerical operations.
In this case, we see that the interval of the number line is from -15 to 5.
Thus, the range of values for the blank space will fall in between those two numbers.
Now, since we have positive 2 on the number line, then we must likely also have the negative one to balance it as the blank number.
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Will give brainliest!!
this data represents the number of jumps in a row 10 students made during a jump-rope competition.
30,36,38,45,57,60,77,86,88,88
whats the interquartile range?
The interquartile range of the number of jumps of the 10 students during the competition is 38.
What is the interquartile range?The interquartile range is the difference between the third quartile and the first quartile. The interquartile range is used to determine the variation of a data set.
Th first step is to determine the median of the first half of the dataset. The median of the first half is the first quartile.
First half of the data set: 30, 36, 38, 45, 57
Median = first quartile = 38
The next step is to determine the median of the second half of the dataset. The median of the second half is the third quartile.
Second half of the data set: 60, 77, 86, 88, 88
Median : third quartile = 86
Interquartile range = third quartile - first quartile
86 - 38 = 48
hence , interquartile range of the number of jumps of the 10 students during the competition is 38.
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if katie scored a 93 on a test and her calculated z score was 2.14, what does that mean
A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.
Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.
A z score represents the number of standard deviations a data point is from the mean of the data set.
A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.
The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:
z = (x - μ) / σ
= (93 - 80) / 5
= 2.6
Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.
Katie's score is 2.6 standard deviations above the mean.
A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.
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PLEASE HELP
The functions f(x) and g(x) are linear. The function f(x) is shown on the graph, and g(x) is described by the table. The graph shows a line labeled f of x that passes through the points 0 comma 1 and 1 comma 3. x g(x) −1 −9 0 −7 1 −5 2 −3 3 −1 4 1 5 3 What transformation of f(x) will produce g(x)? g(x) = f(x + 4) g(x) = f(x) − 4 g(x) = f(x) + 4 g(x) = f(x − 4)
The proper response is therefore g(x) = f(x + 4) and g(x) thus equals f(x + 4) as point (0, -7) on the translated graph corresponds to the point (4, -7).
what is function ?A function in mathematics is a relationship between two sets of inputs—the domain and the range—with the property that each input is associated to exactly one output. It is a means of expressing the interdependence of two quantities. Typically a letter, a function is represented by a symbol with an input value enclosed in parentheses and an output value denoted by a formula based on the input. For instance, the function f(x) = 2x + 3 multiplies the input value x by 2, adds 3 and returns the resulting output value.
given
Applying a horizontal translation of 4 units to the function f(x) will allow us to deduce the function g(x) from the function f(x).
This will ensure that the point (0, -7) on the translated graph corresponds to the point (4, -7) on the original f graph (x).
g(x) thus equals f(x + 4)
The proper response is therefore g(x) = f(x + 4) and g(x) thus equals f(x + 4) as point (0, -7) on the translated graph corresponds to the point (4, -7).
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please show work
ill mark the brainlest
Answer:
D
Step-by-step explanation:
The circle is filled in and the numbers are going lower so x is less than or equal to 7. I hope this helps and have a great day!
Answer: D
Closed circle mean it would be an “equal to.” Since the line is going to the left of 7 it means x is less than 7.
..A number divided by 5 is 15 how do you right it as a equation
Answer:
75
Step-by-step explanation:
Let's say the unknown number is x
x/5 = 15
x = 15*5
x = 75
What is the value of x?
040
40
070
0 140
160
-
Answer:
x = 70
Step-by-step explanation:
Since 2 sides are equal then the triangle is isosceles with 2 congruent base angles , then
x = \(\frac{180-40}{2}\) = \(\frac{140}{2}\) = 70
Answer:
x=40°
Step-by-step explanation:
cuz the property of isosceles triangle that the angles opposite to equal sides are equal..
to solve the following equation , 7x - 2 = 12 , which of the choices below is a correct method to find the value of X
The Answer:the answer is D
Step-by-step explanation:
65 + 2x + 2y + 25 + 65 = 360
Answer:
x= 115-y
y=115-x
(Please brainlist me)
Step-by-step explanation:
65 + 2x + 2y + 25 + 65 = 360
2x+ 2y = 230
x+y = 115
x= 115-y
y=115-x
I need help on this question
Answer:
25.981 seconds
Step-by-step explanation:
because X represents the magnitutde of falling height substitute 1200 into the original equation and you will find the above answer
what is the answer to this fraction 4/8+2/8+4/8
Answer:
1 2/8 OR 1 1/4
Step-by-step explanation:
4/8 + 2/8 + 4/8 =
6/8 + 4/8 =
10/8 =
1 2/8 OR 1 1/4
Hope that helps!
12. Your garage door has a code to open it. Your little brother can't remember the 5-digit code. He knows the
first digit is a 1 or 2 and that the second digit is a 5 or a 6. He has no idea what the other 3 digits are. If he
guesses, what is the probability that he gets it correct on the first try?
Answer:
1 2 3 4 5
Step-by-step explanation:
Its possible for the code to just be 1 2 3 4 5
A rich aunt has promised you $2,000 one year from today. In addition, each year after that, she has promised you a payment (on the anniversary of the last payment) that is 7% larger than the last payment. She will continue to show this generosity for 20 years, giving a total of 20 payments. If the interest rate is 7%, what is her promise worth today? The present value is $. (Round to the nearest cent.)
If the interest rate is 7%, the present value of her promise today is $24,382.87.
The formula for the present value of an annuity is:PMT × (1 - 1/(1+r)n)/r
Where:PMT = periodic payment (the amount you'll receive each year)
R = interest rate (as a decimal)
n = number of payments (in this case, 20)
The payments are not equal, but each payment is 7% larger than the previous one.
So, we need to calculate the payment for year 1, and then calculate the payments for years 2 through 20 based on that.
The payment for year 1 is $2,000.
The payment for year 2 is 1.07 × $2,000 = $2,140.
The payment for year 3 is 1.07 × $2,140 = $2,299.80.
And so on.
We can simplify this by finding the total growth factor after 20 years:1.07^19 = 4.869
We multiply the payment for year 1 ($2,000) by this growth factor to get the payment for year 20:$2,000 × 4.869 = $9,738.71
Now we can use the formula for the present value of an annuity:
PMT × (1 - 1/(1+r)n)/r$2,000 × (1 - 1/(1+0.07)^20)/0.07 = $24,382.87 (rounded to the nearest cent)
Therefore, the present value of her promise today is $24,382.87.
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Which of these expressions is equal to 1?
3/4 + 2/3 + 1/2
2/8 + 1/4 + 1/2
1/4 + 1/2
5/3 + 1/6 + 1/3
Answer: 2/8+1/4+1/2
Step-by-step explanation: I think the correct answer is 2/8+1/4+1/2, because 3/4+2/3+1/2=1 11/12. 1/4+1/2=3/4. 5/3+1/6+1/3=2 1/6.
You revived 1/4 pound of candy from your grandmother, 1/2 pound of candy from your sister, and 1/8 pound of candy from your best friend. How many pounds of candy did you receive?
Answer:
⅞ pound
Step-by-step explanation:
You received 1/4 pound of candy from your grandmother.
You received 1/2 pound of candy from your sister.
You received 1/8 pound of candy from your best friend.
The total amount of candy you received is given as the sum of all the candy that he received from your grandmother sister and best friend.
The total amount of candy is therefore:
¼ + ½ + ⅛ = ⅞ pound
You received ⅞ pound of candy in total.
a researcher chooses 100 random samples for an experiment, and for each sample he obtains a 95% confidence interval for an unknown parameter. approximately how many of those confidence intervals will not contain the value of the unknown parameter?
5 samples will not contain the value of the confidence interval of the unknown parameter. The rest will have the confidence interval.
x% confidence interval implies that the mean of x% is in the interval, also x% in the sample space will have the value of unknown parameter.
Here 95% of confidence interval is present and the sample space is 100. So, 100%- 95% = 5%. Thus only 5% of the sample space will not contain the confidence level of the unknown parameter.
5% of 100 = \(\frac{5}{100}\) × \(100\) = 0.5 × 100 = 5
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A function is a type of ___________.
relation
range
domain
vertical line test
claim: at most 28% of internet users pay bills online. A recent survey of 326 internet users indicated that 25% pay their bills online
bills refer to invoices or statements issued to request payment for goods or services provided. They typically outline the amount owed, due date, and payment instructions.
Based on the claim that at most 28% of internet users pay bills online, we need to determine if the recent survey supports or contradicts this claim.
The recent survey of 326 internet users indicated that 25% pay their bills online. To determine if this supports the claim, we need to compare the survey result to the claim.
Since the claim states "at most" 28% of internet users pay bills online, it means that 28% is the maximum percentage. Therefore, if the survey result of 25% falls within this range, it supports the claim.
To calculate this, we subtract the survey result (25%) from the maximum claim (28%):
28% - 25% = 3%
Since the difference is 3%, which is a positive value, the survey result of 25% falls within the maximum claim of 28%. Therefore, the recent survey supports the claim that at most 28% of internet users pay bills online.
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which of the following 95% confidence intervals would lead us to reject h0: p = 0.30 in favor of ha: p≠0.30 at the 5% significance level?
None of the given confidence intervals would lead us to reject the null hypothesis, h0: p = 0.30, in favor of the alternative hypothesis, ha: p≠0.30, at the 5% significance level.
To determine if we can reject the null hypothesis in favor of the alternative hypothesis, we need to check if the confidence interval includes the null hypothesis value. In this case, the null hypothesis is p = 0.30.
Looking at the given confidence intervals:
a. (0.19, 0.27)
b. (0.24, 0.30)
c. (0.27, 0.31)
d. (0.29, 0.31)
None of these intervals include the value 0.30. Since the confidence intervals do not contain the null hypothesis value, we cannot reject the null hypothesis at the 5% significance level. Therefore, the correct answer is option (e) None of these.
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I need help on what to write exactly
Answer:
Step-by-step explanation:
the equation could model a scenario determining the number of players on each team in a league of five teams, if 2 players have to be taken out of the possible players to be referees and to keep score. there will be 11 on each team
Out of the 50 people interviewed 6 people said Spider-Man was their favorite super hero, What percent of people said that Spider-Man was their favorite superhero?
Favorite Superhero
IronMan
Spider-Man
The Hulk
Batman
Superman
Thor
Answer:
Twelve percent.
Step-by-step explanation:
6:50 x 2 = 12:100 or 12%. Hope this helps!
solve the given integer programming problem using the cutting plane algorithm. 5. Maximize z = 4x + y subject to 3x + 2y < 5 2x + 6y <7 3x + Zy < 6 xz0,y 2 0, integers
The optimal solution to the given integer programming problem is x = 1, y = 1, z = 3, with a maximum value of z = 3.
To solve the given integer programming problem using the cutting plane algorithm, we first solve the linear programming relaxation of the problem:
Maximize z = 4x + y
subject to
3x + 2y < 5
2x + 6y < 7
3x + Zy < 6
x, y >= 0
-The optimal solution to the linear programming relaxation is x = 1, \(y=\frac{1}{2}\), \(z = \frac{5}{2}\) . However, this solution is not integer.
-To obtain an integer solution, we need to add cutting planes to the problem. We start by adding the first constraint as a cutting plane:
3x + 2y < 5
3x + 2y - z < 5 - z
-The new constraint is violated by the current solution \((x = 1, y = \frac{1}{2} , z = \frac{5}{2} )\), since \(3(1) + 2(\frac{1}{2} ) - \frac{5}{2} = \frac{3}{2} < 0\). So we add this constraint to the problem and solve again the linear programming relaxation:
Maximize z = 4x + y
subject to
3x + 2y < 5
2x + 6y < 7
3x + Zy < 6
3x + 2y - z < 5 - z
x, y, z >= 0
The optimal solution to this new linear programming relaxation is x = 1, y = 1, z = 3. This solution is integer and satisfies all the constraints of the original problem.
Therefore, the optimal solution to the given integer programming problem is x = 1, y = 1, z = 3, with a maximum value of z = 3.
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You live near a bridge that goes over a river. The underneath side of the bridge is an arch that can be modeled with the function y 0.000495x 2 0.619x where x and y are in feet. How high above the river is the bridge (the top of the arch)? How long is the section of bridge above the arch? a. The bridge is about 193.52 ft above the river and the length of the bridge above the arch is about 625.25 ft b. The bridge is about 193.52 ft above the river and the length of the bridge above the arch is about 1250.51 ft c. The bridge is about 1250.51 ft above the river and the length of the bridge above the arch is about 193.52 ft d. The bridge is about 1250.51 ft above the river and the length of the bridge above the arch is about 625.25 ft
Answer:
The bridge is about 193.52 ft above the river and the length of the bridge above the arch is about 1250.51 ft
Step-by-step explanation:
The arch is represented by the equation
y = - .000495 x² + .619 x where x and y are in ft .
We can write this equation in the form
y = - a x² + bx
The vertex is on the line
x = b / 2a
= .619 / 2 x .000495
= 625.25
Putting the value in the equation above
y = - .000495 ( 625.25)²
= 193.51 ft
This value will give us the depth of river .
To know the width of bridge we shall have to solve the quadratic equation
- .000495 x² + .619 x = 0
x = [- .619 ± √ ( .619)² - 0] / 2 x .000495
= - .619 + 625.25 and
x = - .619 - 625.25
Difference = 625.25 x 2 = 1250 .51 ft.
So the width of the bridge will be 1250 .51 ft .
Solving 1110 – 1110 using 2’s complement will lead to a problem; by using 7-bit data representation. Explain about the problem and provide suggestions or steps to overcome the problem
The problem with solving 1110 - 1110 using 2's complement in 7-bit data representation is that it results in an overflow, and to overcome this, either increase the number of bits or use a larger data type for representation.
We are subtracting 1110 from 1110 using 2's complement and using 7-bit data representation. Let's go through the steps:
Step 1: Convert 1110 to its 2's complement representation in 7 bits:
- In 7 bits, the leftmost bit is the sign bit.
- Since the leftmost bit of 1110 is 1 (indicating a negative number), we can simply represent it as it is: 1110.
Step 2: Perform the subtraction using 2's complement:
1 1 1 0
- 1 1 1 0
------------
0 0 0 0
The result of the subtraction is 0000. However, this result is problematic because it is not within the range that can be represented with 7 bits using 2's complement.
To overcome this problem and prevent overflow, we can take the following steps:
1. Increase the number of bits: Increase the number of bits used for representing the numbers. Using more bits allows for a larger range of representable numbers and reduces the chance of overflow. If possible, use more bits for data representation.
2. Use a larger data type: If using a fixed number of bits is a requirement, consider using a larger data type, such as a larger integer type, that can accommodate the expected range of values without overflow.
3. Check for overflow conditions: Before performing arithmetic operations, check for potential overflow conditions. For example, when subtracting two negative numbers or adding two positive numbers, the result should have a different sign. If the signs of the operands are the same and the result has the opposite sign, it indicates overflow.
4. Handle overflow cases: If overflow occurs, take appropriate actions based on the specific requirements of your application. This could involve truncating or discarding the most significant bits of the result or applying additional logic to handle the overflow condition appropriately.
By considering these suggestions and adjusting the number of bits or data type used for data representation, you can overcome the problem of overflow when performing arithmetic operations using 2's complement.
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Kamala is reading about her favorite superhero, Captain Marvel. She would like to read at least 235 pages in one week. She has already read 25 pages. How many pages does Kamala need to read each day?
The number of pages that Kamala needs to reach each day is p ≥ 30.
What is the number of pages that Kamala needs to read?Here are inequality signs and what they mean:
> means greater than< means less than≥ means greater than or equal to ≤ less than or equal toThe inequality sign that would be used is ≥. This is because the pages Kamala needs to read each day can be equal to 235 or greater than 235
25 + 7p ≥ 235
Combine similar terms: 7p ≥ 235 - 25
Add similar terms: 7p ≥ 210
Divide both sides of the equation by 7: p ≥ 210 / 7
p ≥ 30
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A function is a relation in which every input has exactly one output. Which choice represents a function?
Please answer both if you can!
Answer:
first one is 24
second one is probably 12
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
On each median, the distance from the vertex to the centroid is twice as long as the centroid to the midpoint , that is
BO = 2 × OY = 2 × 12 = 24
-------------------------------------------------------------------
the altitude DB is at right angles to AC , then ∠ CBD = 90°
sum the 3 angles in Δ BCD and equate to 180
10x - 14 + 4x - 8 + 90 = 180
14x + 68 = 180 ( subtract 68 from both sides )
14x = 112 ( divide both sides by 14 )
x = 8
(Express the answer as dollar.cents)
Answer:
$46.20
Step-by-step explanation:
Do 8.80 times 7 to get 61.6 then divide by four to get 15.40 then subtract it by 61.6 to get 46.20