What value of z should we use when making a 93% confidence interval for p?.
The crucial value (z) relies on the desired level of confidence and is predicated on a normal distribution when creating a confidence interval for a proportion (p) with a confidence level of 93%.
A 93% confidence level in this instance translates to an alpha level of 0.07 (1 - 0.93 = 0.07) that is split evenly between the two tails. In the usual normal distribution table, we search for the value that falls within the range of 0.07 to find the proper z-value. A 93% confidence level corresponds to a z-value of roughly 1.81. The confidence interval for the proportion p may be calculated using this number and provides a range where the genuine proportion is like to fall.
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Old-fashioned mechanical alarm clocks were not very accurate about when the alarm went off. Suppose that the alarm on one
such clock is equally likely to go off at any time in the interval from 2 minutes before to 2 minutes after the time set for the
alarm to go off. Consider the distribution of the amount of time (in minutes) from when the alarm is set to go off to when it
actually goes off. Note that the value of this variable will be negative if the alarm goes off early.
(a) Draw a density curve that can be used to model this distribution. Be sure to include scales on both axes.
Height
=
2
0
Answer Bank
Amount of time (min)
Number of alarm clocks
1
The density curve of the uniform distribution modeling this situation is given by the image at the end of the answer.
What is the uniform probability distribution?The uniform probability distribution has two bounds, symbolized by a and b, and each possible outcome of the normal distribution is equally as likely.
Since each outcome is equally as likely, the density curve is represented by an horizontal line at:
y = 1/(b - a).
The alarm on those clocks is equally likely to go off at any time in the interval from 2 minutes before to 2 minutes after the time set, hence the bounds are given as follows:
a = -2, b = 2.
Then the height of the density curve is obtained as follows:
y = 1/(2 - (-2)) = 1/4 = 0.25.
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The number of tickets that an ice rink sold for the last three days were: 80 (day 1), 92 (day 2), 102 (day 3). Use the trend method to forecast for the sales (the number of tickets that can be sold) of the rink in day 4. Keep two decimals in all the intermediate steps and round your final answer to the closest integer. 80 102 288 113 None of the solutions is correct
The correct answer is 113. To forecast the sales of the ice rink on day 4 using the trend method, we need to determine the trend equation based on the given data points.
The trend equation represents the overall pattern or trend in the sales data and allows us to make predictions for future values.
First, we need to calculate the average increase in sales per day. The average increase is obtained by dividing the total increase in sales over the three days (102 - 80 = 22) by the number of days (3 - 1 = 2). Therefore, the average increase in sales per day is 22 / 2 = 11.
Next, we can use the average increase to forecast the sales for day 4. Starting from the last known sales value (102), we add the average increase to project the sales for the next day. Thus, the forecasted sales for day 4 would be 102 + 11 = 113.
Therefore, the correct answer is 113.
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The slope, a, of the inverse function is , and the x-intercept of the inverse function is at x =.
The inverse function of f (x) = 1/3x - 2 is f⁻¹(x) = 3(x + 2), the value of a is 3, and the value of x-intercept is x = -2.
FunctionThe sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Each element of X receives exactly one element of Y when a function from one set to the other is used.
According to the question,
f (x) = 1/3x - 2
now to find inverse ,
Add 2 to x term and then divide by 1/3 so, we get,
f⁻¹(x) = (x + 2) / 1/3
f⁻¹(x) = 3(x + 2)
now, compare with f⁻¹(x) = a (x + 2)
a = 3
Calculate the x-intercept by putting f(x) = 0
0 = x + 2
x = -2
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**Please help**
The steps to determine the difference are shown.
(5.42x10^-15)-(4.98x10^-15)
Step 1-Rearrange the expression (5.42-4.98)x10^-15
Step 2-Subtract the coefficients (0.44)x10^-15
Step 3-Write in scientific notation 4.4x10^k
What is the value of K in step 3?
Answer:
-16
Step-by-step explanation:
You want the difference (5.42x10^-15)-(4.98x10^-15).
Powers of 10Consider the difference of the coefficients:
0.44
Multiplying and dividing by 10 gives ...
0.44 = 4.4/10 = 4.4 × 10^-1
When this is multiplied by the original numbers' factor 10^-15, we have ...
0.44 × 10^-15
= (4.4 × 10^-1) × 10^-15
Exponents are combined in the usual way:
= 4.4 × 10^-16
The value of k in 4.4×10^k is -16.
__
Additional comments
The rule of exponents is ...
(a^b)(a^c) = a^(b+c)
The power of 10 multiplier of the number tells you the place value of the digit immediately to the left of the decimal point. Place values to the right of that have a power of 10 that is 1 less for each digit position. Perhaps the second attachment can help you visualize this.
Answer:
-16
Step-by-step explanation:
I really need help with this one or I fail
When Amaya bought her car, she financed it and was given a simple
interest rate of 5.5%. If her car cost her $10,000 and she paid it out over
three years, how much interest did she pay? *
Plz help
Answer:
Interest paid $1,650.
Step-by-step explanation:
I=PRT
P= $10,000
R=5.5%= 0.055
T= 3 years
I= (10000)(0.055)(3) = Interest is $1650
what is the area under the normal curve between z = -1.0 and z = -2.0? 0.0228 0.1359 0.4772 0.3413
The area under the curve between z = −2.0 and z = −1.0 is 0.1359.
We can use tables to find the area under the normal curve between two values of z.
However, tables give areas from z = 0 to z = 3.9 (beyond which there is literally no change). But as the normal curve is symmetric at z = 0, we can use it to find between any two given z values.
For example, for the area under the curve between z = −2.0 and z = −1.0, we can take values for z = 2.0 and z = 1.0; their difference will give the area between z = −2.0 and z = −1.0.
From tables for z = 1.0, we have 0.8413 and for z = 2.0, we have 0.9772 and
Hence, the Area under the curve between z = −2.0 and z = −1.0 is 0.9772−0.8413 = 0.1359.
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what is 2+2???? Plzzz I need helpppp!!
Answer:
2+2 is 4 . I hope this helps
Which number has an absolute value greater than 5
A -6
B -5
C 0
D 5
Answer:
A -6
Step-by-step explanation:
The reason why this is your answer is because -6's absolute value is 6
As we know, 6 is higher than 5
so hence, your answer is A -6
EXTRAS:
Absolute values of other answer choices...
-5 = 5
0 = 0
5 = 5
Answer:
The number that has an absolute value greater than 5 is -6 so that answer will be A
In circle G with m/FGH = 60 and FG = 18 units, find the length of arc FH
Round to the nearest hundredth
The length of arc FH is approximately 9.42 units when rounded to the nearest hundredth.
To find the length of arc FH in circle G, we need to use the formula:
Arc Length = (Central Angle / 360°) \(\times\) Circumference
First, let's calculate the central angle m/FGH in degrees:
m/FGH = 60°
Next, we need to find the circumference of the circle. We know that the radius of the circle is equal to half the length of FG:
Radius = FG/2 = 18/2 = 9 units
Circumference = 2 \(\times\) π \(\times\) Radius = 2 \(\times\) π \(\times\) 9
Now, let's substitute the values into the formula to calculate the arc length:
Arc Length = (60/360) \(\\\times\) (2 \(\times\) π \(\times\) 9)
Simplifying this expression:
Arc Length = (1/6) \(\times\) (18π) = 3π units
To round the answer to the nearest hundredth, we can substitute the value of π as approximately 3.14:
Arc Length ≈ 3 \(\times\) 3.14 ≈ 9.42 units
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On a circle of radius 10 feet, what angle would subtend an arc of length 5 feet?
Answer:
Step-by-step explanation:
Hannah borrows $999 from her parents to buy a phone. She will repay $225 to start, and then another $43 per week.
A. Write an equation that can be used to determine w, the number of weeks it will take for Hannah to repay the entire amount.
B. What number of weeks will it take Hannah to repay the entire amount?
A. The equation that can be used to determine the number of weeks is $999=225+42w
B. The number of weeks it will take Hannah to repay is 18weeks
What is linear equation?An equation is a mathematical statement, which has an equal sign (=) between the algebraic expression. Linear equations are the equations of degree 1. It is the equation for the straight line. The solutions of linear equations will generate values, which when substituted for the unknown values, make the equation true. In the case of one variable, there is only one solution. For example, the equation x + 3 = 0 has only one solution as x = -2.
the total amount of money Hannah repaid is $225+$43×w, where w is the number of weeks to repay $43.
therefore $999= $225+$43w
$43w=$ (999+225)
$43w= $1224
divide both side by $43
w= $1224/$43
w= 18 weeks
therefore it will take Hannah 18weeks to repay the money.
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Find the volume of a right circular cone that has a radius of 4 inches and a height of 12 inches. A. 36 in. B. 48 in. C. 52 in. D. 64 in.
Answer:
A) 36 inches
36 Incheon is the correct answer
Answer:
D.) 64pi in.³
Step-by-step explanation:
I got it right in quiz, trust me.
I hope this helps! ^^
Please help me I don’t understand I have been working on this question for 14 minutes!!!m
Answer:
<A = <B
=> 8x - 8 = 5x + 25
<=> 3x = 33
<=> x = 11
with x = 11 => mB = 5.11 + 25 = 55 + 25 = 80⁰
Answer:
x=11
B=80
Step-by-step explanation:
8x-8=5x+25
3x=33
x=11
B=5(11)+25
B=80
HELP
Is the following equation true or false?
three and one half x two and one half – (4 + 2) = 6 ÷ 3 + three fourths
True
False
Answer:
true
Step-by-step explanation:
3.5*2.5-6=2.75
2+0.75= 2.75
It is proven true.
The degree of freedom to test if the coefficients on BDR and Age are statistically different from zero at the 5% level is The critical value for the preceding test using the Fm,wo distribution lable is (Enter your values exactly as they appear in the table ) The Fstatistic for omitting BDR and Age from the regression is F = 0.08. Are the coefficients on BDR and Age statistically different from zero at the 5% level? 0 A_ Because 0.08 is greater than the critica value the coefficients are jointly significant at the 5% level: Because 0.08 is less than the critical value, Ihe coefficients are jqintly significant at the 5% level: Because 0.08 less than the critical value, the coefficients are not jointly significant at the 59 level: Because 0.08 is greater Ihan the critical value the coefficients are not jointly significant at the 5% level.
This is because the F-statistic for omitting BDR and Age from the regression is 0.08, which is less than the critical value for the test using the F-distribution table.
To test if the coefficients on BDR and Age are statistically different from zero, we compare the F-statistic with the critical value from the F-distribution table. The F-statistic is a measure of the overall significance of the regression model when certain variables are omitted.
In this case, the F-statistic is given as 0.08. To determine if the coefficients are statistically different from zero at the 5% level, we compare this value with the critical value from the F-distribution table. The critical value represents the threshold beyond which we reject the null hypothesis.
Based on the statement provided, it states that 0.08 is "less than the critical value." Since the F-statistic is smaller than the critical value, we can conclude that the coefficients on BDR and Age are not jointly significant at the 5% level. In other words, we fail to reject the null hypothesis that the coefficients are equal to zero.
The use of the phrase "jointly significant" implies that the significance of the coefficients is considered together, rather than individually. The test assesses the overall impact of BDR and Age on the regression model, rather than their individual effects. Since the F-statistic falls below the critical value, we do not have sufficient evidence to conclude that BDR and Age have a significant impact on the model.
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Mrs Chen buys 3 identical boxes of chocolates from a super market .
She uses a $50 note to pay for them and gets $8 change. How much does
each box of chocolates cost?
Answer:
50 - 8 = 42
divide 42 by 3!
5.25
lesson 19 test 7th grade
Answer:
What's the question?
Step-by-step explanation:
Which graph represents the linear equation y = −5x − 3?
a graph of a line that passes through the points negative 4 comma 0 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3
a graph of a line that passes through the points negative 1 comma 0 and 0 comma negative 5
a graph of a line that passes through the points negative 1 comma 4 and 0 comma negative 2
Answer: a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation: the y-intercept is where the line meets the y line which in this case is -3. I used slope formula to find the m of the equation ( slope ) take a look at the attached image to see how I solved it.
Answer:
a graph of a line that passes through the points negative 1 comma 2 and 0 comma negative 3.
Step-by-step explanation:
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Answer: the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
Step-by-step explanation: As given in the problem statement the volume
V = s3----- (1)
And
s = 4x2 + 3--------(2)
Hence,
the volume is obtained by substituting (2) in (1).
We get,
V = (4x2 + 3)3
= 64 x6 + 144x4 + 108x2 + 27
Therefore,
the volume of cube is 64 x6 + 144x4 + 108x2 + 27.
Answer:
121 units²
Step-by-step explanation:
The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
Volume = s³
s = 4×2+3
so
(4 × 2 + 3)² = (remember PEMDAS)
(8 + 3)² =
11² =
121 units²
whats the distance between the two points (-5,2) (2,-7)
in this excerpt from a short story published in 1914, a young
man arrives by train to take a position as an assistant
or secretary, to a certain Mrs. Culme. He di covers that
despite the winter weather, no one from her household has
come to meet him at the station
from "The Triumph of Night"
by Edith Wharton
It was clear that the sleigh from Weymore had
not come; and shivering young traveller
from Boston, who had so confidently counted
on jumping into it when he left the train at
Northridge Junction, found himself standing
alone on the open platform, exposed to the
full assault of nightfall and winter.
1 2 3 4 5 6 7
Toward the end of the story, starting on page 5,
Faxon encounters a man in furs. What function
does Faxon's interaction with this character
serve?
It provides character details that indicate Mrs.
Culme may be an unpleasant person.
It provides setting details that suggest that Faxon
is in danger from the cold.
It provides suspense by implying that the youth
may not be what he seems.
It provides exposition by explaining that Mrs. Culme
will send a sleigh soon.
It provides character details that indicate Mrs. This function Faxon's interaction with this character serve in the given excerpt. Therefore, the correct option is option A.
An excerpt is indeed a quotation from that other resource that the author introduces with fresh language in a sentence. This phrase is taken from Thomas Jefferson's 1801 inaugural speech: As he warned his audience, "I may often go wrong by defect of judgement," Jefferson admitted the fallibility of human nature. "I shall frequently err through lack of judgement" is the excerpt. It provides character details that indicate Mrs. This function Faxon's interaction with this character serve.
Therefore, the correct option is option A.
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If f(x)=5x/3+5, which of the following is the inverse of f(x)
Answer:
B
Step-by-step explanation:
to find the inverse of a function, repalace f(x) with x, and replace x with y, proceed to solve for y and the answer you get is B
Answer:
B
Step-by-step explanation:
f(x)=5x/3+5
y=5x/3+5
x=5y/3+5
now solve for y
3x=5y+15
5y=3x-15
y=3x/5-3 or 3(x-5)/5
The data shown represent the box office total revenue (in
millions of dollars) for a randomly selected sample of the
top-grossing films in 2001. Check for normality
294
241
130
144
113
70
97
94
91
202
To check whether the given data is normally distributed, we can use a normal probability plot. A normal probability plot is used to visually assess if a data set is approximately normally distributed.
The following steps show how to construct a normal probability plot for the given data:
Step 1: Arrange the data in ascending order.70, 91, 94, 97, 113, 130, 144, 202, 241, 294S
tep 2: Compute the expected percentiles for the normal distribution.
Expected percentiles are computed using the formula:
Expected percentile = (i - 0.5) / n
where i is the rank of the observation and n is the sample size.
For example, the expected percentile for the first observation (70) is:
Expected percentile = (1 - 0.5) / 10 = 0.05
Similarly, we can compute the expected percentiles for all observations. The expected percentiles for the given data are:
0.052.53.54.55.56.57.58.59.51
Step 3: Construct the normal probability plot.
On the vertical axis, we plot the observed data. On the horizontal axis, we plot the expected percentiles for the normal distribution.
We then plot a straight line connecting the points.
If the data is approximately normal, the points should form a straight line that closely follows the diagonal.
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Calculate the volume of a parallelepiped whose sides are described by the vectors, A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm, You can use the vector triple product equation Volume = A . (BXC)| .
The volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.
The given vectors are:
A = [-4, 3, 2] cm, B = [2,1,3] cm and C= [1, 1, 4] cm
In order to calculate the volume of parallelepiped, we will use vector triple product equation:
Volume = A . (BXC)|, where BXC represents the cross product of vectors B and C.
Step-by-step solution:
We have, A = [-4, 3, 2] cm
B = [2,1,3] cm
C = [1, 1, 4] cm
Now, let's find BXC, using the cross product of vectors B and C.
BXC = | i j k| 2 1 3 1 1 4 | i j k | = -i + 5j - 3k
Where, i, j, and k are the unit vectors along the x, y, and z-axes, respectively.
The volume of the parallelepiped is given by:
Volume = A . (BXC)|
Therefore, we have: Volume = A . (BXC)
\(Volume = [-4, 3, 2] . (-1, 5, -3)\\Volume = (-4 \times -1) + (3 \times 5) + (2 \times -3)\\Volume = 4 + 15 - 6\\Volume = 13\)
Therefore, the volume of the parallelepiped with sides given by vectors A, B and C is 13 cubic cm, which is the final answer.
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A cylindrical rod measures 4 inches long and the circumference of one of its bases is 12π inches. the rod is cut into two equally-sized pieces and then all surfaces are painted. what is the area that is painted? use π≈3.14. enter your answer, rounded to the nearest tenth, in the box. in²
Rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.
We find the radius of the rod by dividing the circumference of one of its bases by 2π:12π inches / 2π = 6 inches / 2π = 6 / 2 = 3 inches
So, the radius of the rod is 3 inches.
Next, we find the surface area of one piece of the rod by using the formula for the surface area of a cylinder:
Surface area = 2πr(h + r)
Surface area = 2π * 3 * (4 + 3) = 2π * 3 * 7 = 42π square inches
Finally, we multiply the surface area of one piece of the rod by 2 to find the total surface area painted:
Surface area painted = 42π square inches * 2 = 84π square inches
Using π ≈ 3.14, the surface area painted is approximately 84 * 3.14 = 263.76 square inches.
Therefore, The rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.
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In 2016, taxicabs in Los Angeles charged an initial fee of $2.85 plus $2.70 per mile.
In equation form, Fare = 2.85 + 2.7 (miles).
At the end of a month, a businessman collects all his taxicab receipts and calculates some numerical summaries. he paid was $15.45 with a standard deviation of $10.20.
What are the mean and standard deviation of the lengths of his cab rides in miles?
O Mean = 5.722 miles, Standard deviation = 3.778 miles
O Mean = 44.715 miles, Standard deviation = 27.54 miles
O Mean 4.667 miles, Standard deviation = 3.778 miles
O Mean 5.722 miles, Standard deviation = 2.722 miles
O Mean 4.667 miles, Standard deviation = 2.722 miles
The mean and standard deviation of the lengths of cab rides in miles is: Mean = 4.667 miles, Standard deviation = 3.778 miles
To find the mean and standard deviation of the lengths of the businessman's cab rides, we need to use the given information. The fare equation, Fare = 2.85 + 2.7 (miles), tells us that the cost of the ride is a linear function of the distance traveled.
From the given data, we know that the businessman paid a total of $15.45 at the end of the month. This total cost is the sum of the initial fee and the cost per mile multiplied by the total distance traveled. So we can set up the equation 15.45 = 2.85 + 2.7(miles) to find the mean.
Simplifying the equation, we have 12.6 = 2.7(miles), and solving for miles gives us miles ≈ 4.667. Therefore, the mean length of the cab rides is approximately 4.667 miles.
To calculate the standard deviation, we are given that the standard deviation of the total cost is $10.20. Since the total cost is determined by the distance traveled, the standard deviation of the lengths of the cab rides will also be the same. Hence, the standard deviation of the lengths of the cab rides is approximately 3.778 miles.
Therefore, the correct answer is: O Mean 4.667 miles, Standard deviation = 3.778 miles.
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write the degree of "-2x-x^3." Name the polynomial on the basis of degree. Also write the coefficient of x
Answer:
3rd degree binomial
-2x has a coefficient of -2
-x³ has a coefficient of -1
Step-by-step explanation:
-2x - x³ is typically written in decreasing exponent order:
-x³ - 2x ⇒ this is a third degree binomial because of the value of the greatest exponent
there are two 'x' terms:
-2x and -x³
the coefficient of -2x is the integer which precedes the 'x', which is -2
the coefficient of -x³ is -1
The temperature at the north pole is 30f and is expected to drop 5f per hour for the next several hours. write an equation that represents the relationship between temperature and time.
The equation that represents the relationship between temperature and time at the North Pole is T = -5t + 30, where T is the temperature in degrees Fahrenheit and t is the time in hours.
Since the temperature is expected to drop 5 degrees Fahrenheit per hour, we can use a linear equation in slope-intercept form, y = mx + b, where m is the slope (the rate of change) and b is the y-intercept (the initial temperature).
In this case, the slope is -5 (since the temperature drops 5 degrees Fahrenheit per hour) and the initial temperature (at t=0) is 30 degrees Fahrenheit.
Therefore, the equation that represents the relationship between temperature and time at the North Pole is T = -5t + 30. As time increases, the temperature will decrease by 5 degrees Fahrenheit per hour.
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