A random sample of 81 automobiles traveling on a section of an interstate showed an average speed of 60 mph. The distribution of speeds of all cars on this section of highway is normally distributed, with a standard deviation of 13.5 mph. Refer to exhibit 8-3. If we are interested in determined an interval estimate for mu at 86.9% confidence the z value to use is 1.96 1.31 1.51 2.00 Refer to exhibit 8-3. The value to use for the standard error of the mean is 13.5 9 2.26 1.5 Refer to exhibit 8-3. The 86.9% confidence interval for mu is 46.500 to 73.500 57.735 to 62.265 59.131 to 60.869 50 to 70
Answers
Probability can be used to make predictions or decisions in a variety of situations, such as in gambling, finance, and science. In these situations, probabilities can be calculated based on statistical data or by using mathematical models.
To find the confidence interval for the mean speed (mu) of all cars on this section of the highway, we can use the following formula:
Confidence interval for mu = sample mean +/- z * standard error of the mean
Where:
sample mean is the average speed of the 81 cars in the sample, which is 60 mph
z is the z-score corresponding to the desired confidence level. In this case, the desired confidence level is 86.9%, which corresponds to a z-score of 1.96.
standard error of the mean is the standard deviation of the sampling distribution of the mean, which is calculated as the standard deviation of the population divided by the square root of the sample size.
In this case, the standard error of the mean is 13.5 / sqrt(81) = 2.26 mph.
Plugging these values into the formula, we get:
Confidence interval for mu = 60 +/- 1.96 * 2.26 = 59.131 to 60.869
Therefore, at a confidence level of 86.9%, we can be confident that the interval between 59.131 and 60.869 mph includes the true mean speed of all cars on this section of the highway.
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Related Questions
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answers
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
does question 4 look correct
Answers
The value of a sculpture is $950. The value increases by 15% a year. Find the value in 8 years.
Answers
Answer:
1,140
Step-by-step explanation:
because first you have to cross multiply the 15*950 and then divide it by 100 and you get 1,140
please make me brainist lol
What isthe expanded form for 6 squared
Answers
Answer:
6 × 6
Step-by-step explanation:
6 squared also know as 6^2 means 6 × 6
HELP ASAP
Tracey rides her bike nine kilometers every day. How many miles does she ride in a
week?
Answers
Find the volume of a cylinder whose diameter is 7cm and height is 5cm
\(take \: \pi \: = \pi\)
Answers
The volume of a cylinder whose diameter is 7cm and height is 5cm,
⇒ 61.25 π cm³
Given that,
Diameter of cylinder = 7 cm
Height of cylinder = 5 cm
Radius = diameter/2
= 7/2
= 3.5 cm
Since we know that,
A cylinder is a three-dimensional object that holds two parallel bases linked at a constant distance by a curving surface. These bases are typically circular in form (like a circle), with the centre of the two bases connected by a line segment known as the axis. The height "h" of the cylinder is the perpendicular distance between the bases, and the radius "r" is the distance from the axis to the outer surface.
Volume of cylinder = πr²h
= πx3.5x3.5x5
= 61.25 π cm³
Hence,
⇒ volume = 61.25 π cm³
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Estimate the square root of 296 to the nearest tenth.
Answers
Answer:
17.2
Step-by-step explanation:
Answer:
±17.20
Step-by-step explanation:
Follow Me Please
the product of 12 and K is 84 solve for K K =
Answers
Answer: k = 7
Step-by-step explanation:
12k=84
Divide(12)
k=7
Hope it helps <3
Answer:
7Step-by-step explanation:
The product of 12 and k is 84
let's create an equation:
\(12k = 84\)
Divide both sides of the equation by 12
\( \frac{12 \: k}{12} = \frac{84}{12} \)
Calculate
\(k = 7\)
Hope this helps...
Best regards!!
why wont u let me see the awner when it says "u have 12 awsners left"
Answers
Answer:
do you have an android if you do download the app its free no monthly payments like the web browser im using the app
3x-15=17-x. Check your solution
Answers
Answer:
x=1
Step-by-step explanation:
3x-15=17-x
3x-x=17-15
2x=2
x=1
Answer:
x=8
Step-by-step explanation:
3x-15=17-x move variable to the left and change its sign
3x+x-15=17 collect like terms
4x=17 + 15 (3x=x=4x)
4x= 32 divide both sides by 4
x=8 (dividing 4x by 4 cancels the 4,s out and leaves x)
Ronald is walking at a rate of 3 miles per hour. If he walks for 2 hours and then runs at a rate of 6 miles per hour for another 1 hour, how far did Ronald travel in total?
Answers
Answer:
12Step-by-step explanation:
Ronald's walking speed is 3 miles per hour, and he walks for 2 hours, so he covers 3 * 2 = 6 miles. In the next hour, he runs at a speed of 6 miles per hour, covering an additional 6 miles. Therefore, Ronald traveled a total of 6 + 6 = 12 miles.
Date:
Name:
Refocus
Directions: Solve the problems by building the figure with algebra tiles and writing an equation.
A rectangle has a length that is twice the width. The perimeter of the rectangle is 12 feet.
What is the width? What is the length?
Equation:
Width:
Length:
Answers
Answer:
Equation: 2w + 2(2w) = 12
width = 2
length = 4
Step-by-step explanation:
Width is w
Length is 2 * width = 2w
Perimeter is 2w + 2l
Substitute 2w for L.
Perimeter is now 2w + 2(2w) = 12
Distribute the 2 to the parentheses.
2w + 4w = 12
Combine Like terms
6w = 12
Divide by 6 to solve for w.
w = 2
If w = 2, then the length = 4.
Find the sales tax. Selling price: $80.00 Rate of Sales Tax: 7%
Answers
Answer:
5.60
Step-by-step explanation:
80.00 * 7% = 5.60
Fiona is making a banner in the shape of a triangle for a school project. She graphs the banner on a coordinate plane with vertices at P(0, 4) , Q(2, 8) , and R(−3, 6) . She wants to reflect the banner over the line x=1. Identify the image of the banner reflected in the line x=1.
Answers
The coordinates of the banner after the reflection across x = 1 is P'(2, 4), Q'(0, 8), and R'(5, 6)
How to determine the coordinates of the banner after the reflection?From the question, the coordinates are given as
P(0, 4), Q(2, 8), and R(−3, 6)
The line of reflection is given as
x = 1
The rule of reflection across the line x = 1 is represented as
(x, y) = (-x + 2, y)
When the above rule is applied, we have
P'(2, 4), Q'(0, 8), and R'(5, 6)
This means that the coordinate of the image are P'(2, 4), Q'(0, 8), and R'(5, 6)
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PLEASEEEE HURRYY
On Giana's map of Texas, there is a close up view of the Dallas/Fort Worth area. The map scale is 1 inch = 3.5 miles. From Garland to Mansfield is 52.5 miles. How far apart are these two cities on the map?
Answers
Answer:
The distance between Garland and Mansfield on the map is 15 inches.
Step-by-step explanation:
On Giana's map of Texas, the scale is 1 inch = 3.5 miles. To determine the distance between Garland and Mansfield on the map, we can use the scale to find the corresponding measurement. Given that the actual distance between these two cities is 52.5 miles, we can set up a proportion:
1 inch / 3.5 miles = x inches / 52.5 miles
Cross-multiplying, we have:
3.5 miles * x inches = 1 inch * 52.5 miles
3.5x = 52.5
Dividing both sides by 3.5, we find:
x = 15
Therefore, the distance between Garland and Mansfield on the map is 15 inches.
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Which product is negative?
(-3/8)(-5/7)(1/4)
(3/8)(-5/7)(-1/4)
(3/8)(5/7)(1/4)
(-3/8)(-5/7)(-1/4)
Answers
Answer:
The third one is the answer
Step-by-step explanation:
hope that helps
(−3/8(−5/7))(−1/4)
= −15/224
Answer:
The third one!
Step-by-step explanation:
A trough is an open container that is used to hold food or water for animals. The figure below shows a water trough.
1 4. How much ground is covered by the trough?
15. How much metal is needed to make the trough?
16. How much water can the trough hold?
Answers
Answer:
8 ft², 21.8ft², and 11.2ft²
Step-by-step explanation:
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answers
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
40% of 30 equals what percent of 48?
Answers
Solution: 30 is what percent of 48 is equal to (30 / 48) x 100 = 62.50%. So if you buy an item at $48 with $30 discounts, you will pay $18 and get 62.50% discount cashback rewards. So 30 out of 48 as a percentage is 62.50%
40 percent of 30 is equal to 25 percent of 48.
We have to find first 40% of the number 30.
40% of 30 = 40% × 30
= (40 / 100) 30
= 0.4 × 30
= 12
Now we have to find what percent of 48 is 12.
Let the required percentage be x.
x% of 48 = 12
(x/100) 48 = 12
x/100 = 12/48
x/100 = 0.25
x = 0.25 × 100
x = 25%
Thus, 40% of 30 equals 25% of 48.
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Question about p-value: if the p-value is 0.03, are they statistically different or not? (Picture)
Answers
Yes, they are statistically different.
What does statistical significance mean?Statistical significance is a term used to indicate that a result from a statistical test is likely to be reliable and reproducible. It is the probability that a result is caused by something other than random chance. Statistical significance is usually determined by calculating the probability, or p-value, that the result occurred by chance. A result is deemed to be statistically significant if the p-value is below a certain threshold. This threshold is typically set at 0.05, but can be adjusted depending on the study.
A p-value below 0.05 is generally considered to be statistically significant, indicating that the differences observed between the two groups are unlikely to have occurred by chance. In this case, a p-value of 0.03 is well below the threshold, indicating that the two groups are statistically different
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The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results: Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What is the estimate of the standard deviation of the sampling distribution for an instructor's sample proportion of failures?
Answers
Answer:
0.03
Step-by-step explanation:
Given the following :
Instructor __no of failure __prop (failure /100)
A ________ 13__________0.13
B ________0___________0
C________11___________0.11
D________16__________0.16
Prof. B adds no proportion to the data and hence excluded in the estimation.
Mean(m) = 0.13 + 0.11 + 0.16) / 3
= 0.4 / 3
= 0.1333
Standard deviation :
Σ(X - m)² / N - 1
Σ(0.13 - 0.1333)² + (0.11 × 0.1333)² + ( 0.16 - 0.1333)² = 0.0012668689
= 0.0012668689 / 2
= 0.00063343445
√0.00063343445
= 0.0251681
= 0.03 To 2 decimal places
List the terms of the polynomial. Give the coefficient of the second term. -4y5 + 6x4 +9w³ - 4w - 1 Separate terms using commas. Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c . Make sure your variables match those in the question. Terms Coefficient
Answers
The coefficient of the second term, 6x⁴, is 6.
The terms of the polynomial are:
-4y⁵, 6x⁴, 9w³, -4w, -1
The coefficient of the second term, which is 6x⁴, we look at the number in front of the variable term.
The coefficient is 6.
Therefore, the list of terms is:
-4y⁵, 6x⁴, 9w³, -4w, -1
Each term represents a separate component of the polynomial, where the variable is raised to a certain power and multiplied by its coefficient.
The coefficients indicate the scalar value by which each term is multiplied.
The polynomial's terms are -4y5, 6x4, 9w3, -4w, and -1.
Looking at the number in front of the variable term, we can determine the second term's coefficient, which is 6x4.
There is a 6 coefficient.
As a result, the terms are as follows: -4y5, 6x4, 9w3, -4w, and -1.
Each term represents a different part of the polynomial, where the variable is multiplied by its coefficient and raised to a given power.
The scalar value by which each phrase is multiplied is shown by the coefficients.
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Which is misleading about the data shown on the figure?
Number of members
Look at the photo
Answers
The misleading about the data shown on the figure is the clas width
Which is misleading about the data shown on the figure?From the question, we have the following parameters that can be used in our computation:
The histogram
On the histogram, we have the following readings
1 - 2021 - 3031 - 4546 - 65From the above, we can see that
The above readings are not consistent i.e. the class widths are not equal
Hence, the misleading about the data shown on the figure is the clas width
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Two vertices of a right triangle have coordinates (0,0) and (4.0), as plotted on the grid below. The hypotenuse of the triangle is 8 units long.
(0.6)
(4.0)
if the triangle's third vertex has coordinates (0,y), which is a possible value of y?
02
0 4√2
043
Answers
Answer:
y=2
Step-by-step explanation:
due to diagram have done the steps in the image
Diven {x) = 3x- 1 and 9(x) = 2x-3, for which value of x does g(X) = {2)?
Answers
The calculated value of x at g(x) = 2 is x = 2.5
How to determine the value of x at g(x) = 2from the question, we have the following parameters that can be used in our computation:
f(x) = 3x - 1
Also, we have
g(x) = 2x - 3
When g(x) - 2, we have
2x - 3 = 2
So, we have
2x = 5
Divide by 2
x = 2.5
Hence, the value of x at g(x) = 2 is x = 2.5
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Given triangles are congruent. What is the measure of x? *
5
4
3
Answers
Answer:
measure of X is 5 cm.because they are congruent...
Answer:
X is 5 cm.
Step-by-step explanation:
the actual length of a window that is 1 ½ inch long on a drawing with a scale of 1 inch = 6 feet?
Answers
Answer:
answer : 9 feet
Step-by-step explanation:
1 foot is 6 feet and a half foot is 3 feet so add them together.
Erica works in a soda-bottling factory. As bottles pass her on a conveyer belt, she puts caps on them. Unfortunately, Erica sometimes breaks a bottle before she can cap it. She gets paid 10 cents for each bottle she successfully caps, but her boss deducts 1 cent from her pay for each bottle she breaks. Erica is having a bad morning. 26 bottles have come her way, but she has been breaking some and has only earned 18 cents so far today. How many bottles has Erica capped and how many has she broken?
Answers
Answer:
She has capped 4 correctly and broke 22.
Look at the paper for solution.
She needs a new job.
Please help me w this hehehehehh
Answers
Answer:
-25x-45y, because if we have got + and -, so we will write minus.
A box of cereal contains 15 3/5 ounces of cereal. If a bowl holds 2 2/5 ounces of cereal, how many bowls of cereal are in one box?