Answer:
0.0018
Step-by-step explanation:
P(z>2.88)=1-0.9980= 0.0018
Compute a 99% confidence interval for the mean weight of toxic substance per gram of mold culture. State the assumption you make about the population.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The 99% confidence interval is [tex]2.4309 < \mu < 4.9328[/tex]
Step-by-step explanation:
From the question we are told that
The data is 3, 2,5, 3, 2, 6, 5,4.5, 3, 3, and 4
The sample size is n = 11
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{\sum x_i}{n}[/tex]
=> [tex]\= x = \frac{3+ 2+5+ \cdots +4 }{11}[/tex]
=> [tex]\= x = 3.6818 [/tex]
Generally the sample standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum [ x_i - \= x ] }{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{[ 3 - 3.6818 ]^2 +[ 2 - 3.6818 ]^2 + \cdots + [ 4 - 3.6818 ]^2 }{11} }[/tex]
=> [tex]\sigma = 1.3091[/tex]
Given that the confidence interval is 99% then the level of significance is mathematically represented as
[tex]\alpha= (100 - 99) \%[/tex]
=> [tex]\alpha= 0.01[/tex]
Given that the sample size is small we will making use of t distribution table
Generally from the t distribution table the critical value of at a degree of freedom of is
[tex]t_{\frac{\alpha }{2} , 10 } =3.16927267 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = 3.16927267 * \frac{1.3091 }{\sqrt{11} }[/tex]
[tex]E = 1.251[/tex]
Generally 99% confidence interval is mathematically represented as
[tex]3.6818 -1.251 < p < 3.6818 + 1.251 [/tex]
=> [tex]2.4309 < \mu < 4.9328[/tex]
A salesperson at a company sold 6,903,435 dollars of hardware for the year, a figure that represents the eighth decile of sales performance at the company. What can you conclude about their performance.
Answer:
The performance is good
Step-by-step explanation:
80% of the sales peoples sold less than this...
There are 3 cats in the room and no other creatures. Each cat has 2 ears, 4 paws, and 1 tail.
Answer:
ok soooo whats the question like bruhhhhhh i here to anwser now tell me the question
Step-by-step explanation:
PLEASE HELP ASAP!!!!! Use deductive reasoning to form a "Therefore" concluding statement from the given statements below:
All members of the softball team attended the awards banquet.
Alex is a member of the softball team.
Answer:
b
Step-by-step explanation:
The base area of a right circular cone is 1/4 of its total surface area. What is the ratio of the radius
to the slant height?
Given:
The base area of a right circular cone is [tex]\dfrac{1}{4}[/tex] of its total surface area.
To find:
The ratio of the radius to the slant height.
Solution:
We know that,
Area of base of a right circular cone = [tex]\pi r^2[/tex]
Total surface area of a right circular cone = [tex]\pi rl+\pi r^2[/tex]
where, r is radius and l is slant height.
According to the question,
[tex]\pi r^2=\dfrac{1}{4}(\pi rl+\pi r^2)[/tex]
Multiply both sides by.
[tex]4\pi r^2=\pi rl+\pi r^2[/tex]
[tex]4\pi r^2-\pi r^2=\pi rl[/tex]
[tex]3\pi r^2=\pi rl[/tex]
Cancel out the common factors from both sides.
[tex]3r=l[/tex]
Now, ratio of the radius to the slant height is
[tex]\dfrac{r}{l}=\dfrac{r}{3r}[/tex]
[tex]\dfrac{r}{l}=\dfrac{1}{3}[/tex]
Therefore, the ratio of the radius to the slant height is 1:3.
You come from a large, dysfunctional family. You learn of this year’s upcoming reunion, and dread the very thought of being around those people for any length of time. However, you’ve been intrigued by your introductory statistics course, and decide you will have some fun with the reunion by using it as an opportunity to study your family. As a preliminary project, you want to keep track of how many times each family member verbally assaults another person throughout the first 24 hours.
After 24 hours, you review your notes:
Family Member # Verbal Assaults
Stew (Dad) 5
Marge (Mom) 7
Betsy 18
Fred 11
Gracie 4
Jorge 10
Kim 5
Ferdinand 15
Hal 6
You 19
Find the mean, median, and mode of your distribution:
1. Mean
2. Median
3. Mode
4. Which measure of central tendency do you think is most appropriate for this dataser? Why?
5. What is the range of your dataset? Show how you figured it out.
6. Define, as specifically as necessary, the population in which you are interested for this research. In other words, how do you decide whether a person would be appropriate to include in your study?
7-9. Find the standard deviation for the data in the table on the first page. Showing your work is how you earn points for this part
10. What is the standard deviation of your dataset?
Answer:
Explained below.
Step-by-step explanation:
The data provided is for the number of times each family member verbally assaults another person throughout the first 24 hours.
Use Minitab to compute the descriptive statistics.
Go to Stat → Basic Statistics → Display Basic Statistics
A dialog box will open.
Select the variable.
Select 'Statistics'.
Another dialog box will open.
Select the statistics required.
Press OK.
Select "Graphs'.
Select Histogram.
Press OK
The output is attached below.
(1)
The mean of the data is, Mean = 10.
(2)
The median of the data is, Median = 8.50.
(3)
The mode of the data is, Mode = 5.
(4)
The inequality statement for the mean, median and mode is:
Mean > Median > Mode
A distribution is known as to be skewed to the right, or positively skewed, when maximum of the data are collected on the left of the histogram of the distribution.
Also if the Mean > Median > Mode then the distribution is skewed to the right.
For a skewed distribution the best of central tendency is the median.
So, the measure of central tendency that is most appropriate for this dataset is, Median = 8.50.
(5)
The range of the data set is:
Range = Maximum - Minimum
= 19 - 4
= 15
Thus, the range is 15.
(6)
The population of interest is the number of times the family members verbally assaults another person throughout the first 24 hours.
(7-10)
Consider the Minitab output.
The standard deviation of the data set is, SD = 5.60.
GRAHAM CORPORATION
Samantha invested in the Graham Corporation. Samantha bought n number of
shares for d dollars and paid a 2% commission to her broker. She later sold the
stock for s dollars and paid a flat fee of $11. A friend of Samantha's, Alex, also
decided to invest in the Graham Corporation. He purchased x dollars worth of
stock on his broker's advice and paid his broker a 1% broker fee.
Part A
Write an expression to model Samantha's net proceeds algebraically. Explain how
you determined the expression.
Answer:
Net proceed= s-0.98nd-11Step-by-step explanation:
Given that the shares cost $d
n shares will be =$dn
paid 2% commission to her broker= (2/100)*nd= 0.02nd
sold the share for $s
paid a fee of $11
Her net proceeds algebraically will be
Net proceed= s-nd-11-0.02nd
collect like terms
Net proceed= s-(nd-0.02nd)-11
Net proceed= s-0.98nd-11
175 miles at a speed of 25 miles per hour?
Answer:
That would take you 7 hours to get to your location.
(-35) + (-4)
I need help
Answer:
-39
Step-by-step explanation:
i think this is the answer
Answer:
-39
Step-by-step explanation:
(-35) - 4
We subtract 4 from -35 because the negative cancels out the positive.
By subtracting, you get -39
I hope this helped, please mark Brainliest, thank you!
Whats 27.16 - 3.1 x 1.4 evaluated?
PLEASE HELP
Answer:
22.82
Step-by-step explanation:
can u plz mark me as brainliest??
Answer:
22.82
Step-by-step explanation:
3.1*1.4 = 4.34
27.16-4.34 = 22.82
[edited, I messed up the order of operations before, sorry]
14 teachers after you were surveyed about the music listening habits. Here is their data in HOURS:
0,0,0.5,0.5,0.5,1,1,1,1,1,3,4,6,8.5
Use a calculator to calculate the following standard deviation of this data. What is the value? The standard deviation of U is 1.9 hours. Compare the standard deviation you calculated for teachers with that of students. What does that mean about the distribution for teachers vs. students?
Using a calculator, you should get a sample standard deviation of approximately 2.5 hours
If you want to find the standard deviation by hand, you need to do the following steps
Find the mean muSubtract each data value from the mean to get (x-mu)Square each result from step 2, so we now have (x-mu)^2Add up each square from the previous stepDivide that result over n-1. In this case n = 14 is the sample size. This computes the sample variance.Finally, apply the square root to get the sample standard deviation.The teacher data set has a sample standard deviation of roughly 2.5 hours; compare this with the sample standard deviation of the students 1.9 hours, and we see that the teacher data set is more spread out. The larger the standard deviation is, the more spread out the data set will be.
Subtract: (8x + 7) - (4x + 5) *
O4x + 12
O 44-12
O4x + 2
O 44-2
Answer:
4X+2
Step-by-step explanation:
Since there is a negative in front of (4X+5), this will change the signs of both 4x and +5 to (-4X) and (-5) respectively.
This will make the equation look like as follows:-
8X +7 - 4X- 5
Thus on solving we get:-
8X- 4X +7 - 5
= 4X +2
whats answere y+2=-3 (x - 4)
Answer:
Slope = 6.000/2.000 = 3.000
x-intercept = 10/3 = 3.33333
y-intercept = -10/1 = -10.00000
Step-by-step explanation:
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -10.000 and for x=2.000, the value of y is -4.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -4.000 - (-10.000) = 6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Answer:
x=10/3
Step-by-step explanation:
0+2=-3x+12
2=-3x+12
3x=12-2
3x=10
Classwork
1. A plane flew at a constant speed between Denver and Chicago. It took the
plane 1.5 hours to fly 915 miles. Complete the table.
Time in Hours (x)
Distance in Miles (y)
Constant (3)
1
1.5
915
610
2.
2.5
Answer:
Step-by-step explanation:
A plane took 1.5 hours to complete the journey of 915 miles.
Therefore, constant of proportionality will be,
k = [tex]\frac{915}{1.5}=610[/tex]
[tex]\frac{y}{x}=610[/tex]
y = 610x
Time in hours (x) Distance in miles (y) Constant [tex](\frac{y}{x})[/tex]
1 y = 610x ⇒ y = 610 miles 610
1.5 915 610
2 y = 2 × 610 = 1220 miles 610
2.5 y = 2.5 × 610 = 1525 miles 610
Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&5x&=3x \\\\ B.&&5&=3 \end{aligned}
A.
B.
5x
5
=3x
=3
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Add/subtract the same quantity to/from both sides
(Choice B)
B
Add/subtract a quantity to/from only one side
(Choice C)
C
Multiply/divide both sides by the same non-zero constant
(Choice D)
D
Multiply/divide both sides by the same variable expression
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answer:
1). A. Add/subtract a quantity to/from only one side
2) B. No
Step-by-step explanation:
Given equation A
5x-2+x = x-4
Given equation B
5x+x = x-4
We can see that the difference between equation A and B is the 2 that subtracted from the left hand sides of the equation A. All other functions and constants remains the same.
For us to be able to get equation B from A, we need to simply add 2 to the left hand side of equation A to cancel out the -2 that is there as shown:
From equation A:
[tex]5x-2+x = x-4[/tex]
Add 2 to the left hand side of the equation
[tex]5x-2+x+2 = x-4[/tex]
Simplify
[tex]5x-2+2+x = x-4\\5x+0+x = x-4\\5x+x = x-4[/tex]
We can see that the resulting function gives the equation B
Hence the option B is correct i.e Add/subtract a quantity to/from only one side
Let us find the solution to equation A and B
For equation A:
[tex]5x-2+x = x-4\\5x+x-2 = x-4\\6x-2 = x-4\\6x-x = -4+2\\5x = -2\\x = -2/5[/tex]
For equation B:
[tex]5x+x = x-4\\5x+x-x = 4\\6x-x = 4\\5x = 4\\x= 4/5[/tex]
Since we got different solution for x in both equation, hence both equation are not equivalent.
Answer:
Add/subtract the same quantity to/from both sides .... and yes
Step-by-step explanation:
got the answer from khan.
Use rounding to estimate the product of 5,555 and 4,444 round both numbers to the nearest thousand to find answer
Step-by-step explanation:
Given that the first number is
5,555 and
the second number is 4,444
the product of 5,555 and4,444= 24686420
to the nearest thousand 5,555= 6000
to the nearest thousand 4,444= 5000
Therefore the product of 6000 and 5000 is
=6000x5000
=30000000
Can you please help me
Answer:
b
Step-by-step explanation:
What is
41/6
as a mixed number in simplest form?
Enter your answer in the box.
Answer:
6 1/6
Step-by-step explanation:
six goes into 42 seven times that leaves you with one number so it can go in six times evenly and that leaves you with 1/6
the density of salt is 80 pounds per cubic foot what is the approximate density of salt per cubic meter
Answer: Density = 1,282.26 kg/m^3
Step-by-step explanation:
Density = 80 lb/ft^3
We know that:
1lb = 0.4536 kg.
1ft^3 = 0.0283 m^3
then we can write:
1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
we can multiply our equation by this, and it wont be affected, then we have:
Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
Density = 1,282.26 kg/m^3
Answer:
Density = 1,282.26 kg/m^3
Step-by-step explanation:
Density = 80 lb/ft^3
We know that:
1lb = 0.4536 kg.
1ft^3 = 0.0283 m^3
then we can write:
1 = (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
we can multiply our equation by this, and it wont be affected, then we have:
Density = 80 lb/ft^3 = 80 lb/ft^3 (0.4536kg)/(0.0283 m^3)*(1ft^3/lb)
Density = 1,282.26 kg/m^3
Step-by-step explanation:
Is it A
B
C
D
Will be marked as crown
What are the coordinates of the vertices of A L'M'N'?
Answer: L is (-5, 2) M is (0,6) N is (2,4)
Step-by-step explanation:
Find the slope of the line that contains the points (-4,10) and (0,2)
Answer: x=-2
Step-by-step explanation: You have to do y-y÷x-x. So that means 2-10 which equals -8 and 0- negative 4, which equals 4. So for y, you have -8 and for x you have 4. Then you divide -8÷4 which equals -2
At the end of a snow storm, Amelia saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. After the storm, the snow started melting at a rate of 1.5 inches per hour and it is known that 4 hours after the storm ended, the depth of snow was down to 12 inches. Write an equation for S, in terms of t, representing the depth of snow on Amelia's lawn, in inches, t hours after the snow stopped falling.
Answer:
The equation is;
S = 18 - 1.5t
Step-by-step explanation:
From the question, we are made to know that the depth of the snow is S and the time taken to melt in hours is t
After 4 hours of melting, the snow depth is 12 inches
Now, recall that the rate of melting is 1.5 inches/ hour
So in the 4 hours, the amount of snow melted will be 1.5 * 4 = 6 inches
So the total depth of the snow initially will be 6 + 12 = 18 inches
So let’s write the equation;
S = 18 - 1.5t
Where S is the depth of the snow after a particular number of hours t
The flywheel on a steam engine rotates 60 revolutions every 15 seconds what is the flywheel rate of revolution per second? need the unit rate too.
Answer:
The flywheel rate of the flywheel is 4 revolutions per second.
Step-by-step explanation:
From Rotation Physics we understand that flywheel rotates at constant rate. In this case, angular speed ([tex]\dot n[/tex]), measured in revolutions per second, is the number of revolutions done by the flywheel at a given interval of time. That is:
[tex]\dot n = \frac{n}{t}[/tex] (Eq. 1)
Where:
[tex]n[/tex] - Number of revolutions done, measured in revolutions.
[tex]t[/tex] - Time, measured in seconds.
If we know that [tex]n = 60\,rev[/tex] and [tex]t = 15\,s[/tex], then the angular speed of the flywheel is:
[tex]\dot n = \frac{60\,rev}{15\,s}[/tex]
[tex]\dot n = 4\,\frac{rev}{s}[/tex]
The flywheel rate of the flywheel is 4 revolutions per second.
Answer:
The answer for that question is 4 per second
Step-by-step explanation:
Just put that answer i know it on your choices i looked up goodle for this answer so your welcome
Hope this help
Pls leave a thanks if it did
The figure shows the design of a greenhouse with a rectangular floor. The front and back sides of the greenhouse are semicircles with a diameter of w and the roof is half a cylinder. Consider greenhouse A with floor dimensions w=16 feet and l =18 feet.
A concrete slab 4 inches deep will be poured for the floor of greenhouse A. How many cubic feet of concrete are needed for the floor?
9514 1404 393
Answer:
96 cubic feet
Step-by-step explanation:
A volume that is 16 ft by 18 ft by 1/3 ft will be ...
V = LWH
V = (16 ft)(18 ft)(1/3 ft) = 96 ft³
96 cubic feet of concrete are needed.
anybody know ???????????
Answer:
1. constant: 2
2. you can use slope intercept
3. 4 pounds equal 40 cents
4. because it is linear
Step-by-step explanation:
what is the rectangular prism of 2 units and 7 1/3
Answer:
it could be 14 2/6 units squared
Step-by-step explanation:
idkI don’t know but for area is units squared and for volume it has units cubed
Kareem has bought 24 pounds of dog food. He feeds his dog 2/3 pounds for each meal. For how many meals will the food last?
Answer:
Hot dogs- 4 packs (9 times 4 = 36)
Buns - 3 packs (12 times 3 = 36)
Step-by-step explanation:
Find the elapsed time between 10:21 a.m. and 5:43 p.m.
6 hours, 4 minutes
7 hours, 22 minutes
5 hours, 22 minutes
16 hours, 4 minutes
Answer:
7 hours, 22 minutes
Step-by-step explanation:
17:00 (5:00) - 10:00 = 7 hours apart
43 - 21 = 22 minutes
find the number of terms in the arithmetic sequence
-7,-5.6,-4.2,-2.8,1.4,...,103.6
Answer:
80
Step-by-step explanation:
use the formula of arithmetic progression
