Answer:
The margin of error is of 0.11 carats.
The 95% confidence interval for the true mean weight of all sapphires produced by the new process is between 6.64 and 6.86 carats. The interpretation is that we are 95% sure that the true weight of all sapphires produced by the company using the new process is between these two values.
Step-by-step explanation:
We have the standard deviation for the sample, which means that we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 37 - 1 = 36
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 36 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.05}{2} = 0.975[/tex]. So we have T = 2.0281
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.0281\frac{0.33}{\sqrt{37}} = 0.11[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The margin of error is of 0.11 carats.
The lower end of the interval is the sample mean subtracted by M. So it is 6.75 - 0.11 = 6.64 carats
The upper end of the interval is the sample mean added to M. So it is 6.75 + 0.11 = 6.86 carats.
The 95% confidence interval for the true mean weight of all sapphires produced by the new process is between 6.64 and 6.86 carats. The interpretation is that we are 95% sure that the true weight of all sapphires produced by the company using the new process is between these two values.
The height of water shooting from a fountain is modeled by the function f(x) = −4x2 + 24x − 29 where x is the distance from the spout in feet. Complete the square to determine the maximum height of the path of the water. (2 points)
a. −4(x − 3)2 − 29; The maximum height of the water is 3 feet.
Selected:b. −4(x − 3)2 − 29; The maximum height of the water is 29 feet.This answer is incorrect.
c. −4(x − 3)2 + 7; The maximum height of the water is 7 feet.
d. −4(x − 3)2 + 7; The maximum height of the water is 3 feet.
Answer:
d!
Step-by-step explanation:
Answer:
−4(x − 3)2 + 7
Step-by-step explanation:
I took the test
Question One
The length and width of a rectangle is 12 in. And 5 in. The width of a similar rectangle is 8 in. What is the length of the similar rectangle?
Answer:
Step-by-step explanation:
Set up proportions. Make sure length and widths line up!
[tex]\frac{12}{5} =\frac{x}{8}[/tex]
Then do butterfly method.
[tex]12(8) = 5x[/tex]
Solve for x.
[tex]96 = 5x\\\\x= 19.2 in[/tex]
Hope that helped!
Ryan has constructed a multiple regression model and wants to test some assumptions of his regression model. In particular, he is testing for normality of the residuals. To do this Ryan should:
a. construct a normal quantile plot of the residuals and see if the result is an approximately upward sloping straight line
b. plot the residuals vs the predicted values of the response variable and check if the result is a random pattern
c. plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line
d. plot the residuals vs each explanatory variable to check if they are approximately random and form no clear pattern
e. construct a normal quantile plot of the residuals and see if the result is an approximately horizontal straight line
f. construct a normal quantile plot of the residuals and see if the result is an approximately downward sloping straight line
Answer:
plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
Step-by-step explanation:
Ryan should plot the residuals vs the observed values of the response variable and check if it forms and upward sloping line ( C )
The exact right action on what Ryan should do is not listed in the options listed below, hence I have just picked the closest on what Ryan should do if he is testing for normality of the residuals after constructing a multiple regression model
Normality of residuals test is performed to ensure that the residuals are properly/evenly distributed
Choose the theorem that proves these triangles are congruent.
Answer:
SAS
Step-by-step explanation:
The following frequency table shows the number of children that each member of Moms Club has. Find the median number of children.
The median number of children is 3.
The given frequency table shows the number of children that each member of the Moms Club has.The number of children as given in the table is 1, 2, 3, 4, and 5.The number of members as given in the table is 1, 1, 2, 0, and 1.The median is the number that divides a data sample distribution's upper half from its lower half in statistics and probability theory. It can be regarded as the "midway" value for a set of data.The middle value of the number of children from the above given data is 3.To learn more about median, visit :
https://brainly.com/question/28060453
#SPJ1
Answer:
2 child
Step-by-step explanation:
You wonder what is the average number of credits Le Moyne students take per semester. You speak with the Le Moyne registrar, and they tell you that Le Moyne students take an average of 17 credits per semester with a population standard deviation of 2.5 credits. We plan to take a sample of 49 students and ask each student how many credits they plan to take. Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits. What does the CLT say about the distribution of the sample mean of 49 students
Answer:
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.
This means that [tex]\mu = 17, \sigma = 2.5[/tex]
What does the CLT say about the distribution of the sample mean of 49 students?
It is approximately normal.
The mean is 17.
Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
2.6x + 10.5 = 31.3
I need to find the answer of x whoever gets it correct will get brianliest!
Answer:
2.6x + 10.5 = 31.3
Step-by-step explanation:
Find value a, b and c
Answer:
a= 30 degree
b= 120 degree
c= 150 degree
PLZZZ HELP!!!!!!!!!1
What is the median and Q1 of the data set represented on the plot?
Median = 30; Q1 = 20
Median = 33; Q1 = 20
Median = 30; Q1 = 25
Median = 33; Q1 = 25
Answer:
i cant put the picture
Step-by-step explanation:
d. Median=33;Q1=25 the median is represented by the line in between the two boxes. Q1 is represented by the line on the far left of the box in the picture Q1 is marked for quadrent 1 and m is for median
The experimental probability that Kevin will catch a
fly ball is equal to 3/4. About what percent of the
time will Kevin catch a fly ball?
A. 77%
B.55%
C.88%
D.75%
Answer:
C.
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
The fraction 3/4 is equivalent to 75%. Therefore, the percent Kevin will catch a fly ball is 75%.
Use the ALEKS calculator to find 35% of 67. Do not round your answer.
Answer:
23.45
Step-by-step explanation:
35 percent of 67=23.45
35×67=2345
2345/100=23.45
Please help me with this I'm having some trouble
obtuse: B
straight: C
acute: A
right: D
Step-by-step explanation:
Draw a clock and put the hands on the clock and you can see the angel that the clock has.
Cos^2x+cos^2x*cot^2x
Answer:
Cos^2x csc^2x
Step-by-step explanation:
Cos^2x (1 + cot^2x)
(NO LINKS)
Please help this assignment is over due and I don't get it
Answer:
B + 8 = 17 (just incase you need it, B = 9)
Step-by-step explanation:
Hope this helps, pls try to turn it in soon! :))
A pair of jeans is on sale for $30, 25% off the original price. What is the original price?
Step-by-step explanation:
Let $p be the original price.
[tex](1 - 25\%)p = 30 \\ \frac{75}{100}p = 30 \\ p = 40[/tex]
∴ The original price is $40.
CAN SOMEONE HELP ME PLEASE !!
Answer:
A
Step-by-step explanation:
Please help me!!!!!!!!
If g(x) = 1/4X-4 find
g(-4) = [g1]
g(12) = [g2]
Answer:
G1 = -5 G2 = -1
Step-by-step explanation:
plug in the values given into X and solve
g1= 1/4(-4) -4
g1 = -1 -4
g1 = -5
g2= 1/4(12) -4
g2= 3 -4
g2= -1
3. Gas is $2.09 per gallon at the gas station. If
Nate filled up his car and spent $33.44, how
many gallons did he put in his car?
X
many
t how
gallary
Equation
Solution
Work it out
Plz help me I will give you 40 points and Brainly
Answer:
1) slope 3/2, y-intercept 7/2
2y-3x=7
2) slope 1/5, y-intercept 3
5y-x=15
3) slope 1/5, y-intercept 4/5
-x+5y=4
4) slope 5/2, y-intercept 7/2
2y=5x+7
Step by step explanation:
1) 2y-3x=7
2y=3x+7
y=3/2y+7/2
2)5y-x=15
5y=x+15
y=1/5x+3
3)-x+5y=4
5y=x+4
y=1/5x+4/5
4)2y=5x+7
y=5/2x+7/2
What percentage of values are between 25 and 45
Answer:
I'm not that good at this but I'll try.
The difference between 25 and 40 is 15
The difference between 80 and 5 is 75
So, 15/75 = 0.20 or 20%
Sorry, that all I can come up with
Step-by-step explanation:
what is the answer
Move the correct number to the first box to show the answer. Then, move numbers to the other boxes to explain the answer.
Answer:
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
Because:
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{4} * 3 = [\ ][/tex]
Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
Required
Fill in the box
[tex]\frac{1}{4} * 3 = [\ ][/tex]
This can be written as:
[tex]\frac{1}{4} * 3 = \frac{1* 3 }{4}[/tex]
Solve the numerator
[tex]\frac{1}{4} * 3 = \frac{3}{4}[/tex]
(b) Because
[tex]\frac{1}{4} * 3 = [\ ] + [\ ] + [\ ][/tex]
The above implies that
[tex]\frac{1}{4}[/tex] be added in 3 places
i.e.
[tex]\frac{1}{4} * 3 = \frac{1}{4} +\frac{1}{4} + \frac{1}{4}[/tex]
12.
The distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter represents 20 kilometers. What is the actual distance between these two cities in kilometers?
Answer:
70kilometers
Step-by-step explanation:
first we must find how much one half of a centimeter is
well, its easy, theres already a half for the distance, and the representation is an even number, so cut it in half.
20-10 is 10
and now the multiplication
20x3=60
60+10=70
70 kilometers
4) This shape is made from rectangles.
6 cm
Not drawn
accurately
12 cm
8 cm
11 cm
Please help. I’ll give brainlest!! No links
Answer:
352
Explanation
Answer:
352 square inches
Equation to find the surface area:
A=2(wl+hl+hw)
Steps:
2·(4·12+8·12+8·4)=352
If you have any questions revolving around this topic,feel free to ask me and i will be happy to help,Good luck!
(MATH) (6) ((PHOTO))
label is m
Multiply the length by the height:
6.5 x 2 = 13
The width is the volume divided by 13
Width = 52/13 = 4 m
Find the measure of Arc MP.
Answer:
use this formula
x/230×2×pie×radius
PN=180
MPN=MN=31
MP=x
180=31+x
x=180-31
x=149
Question: Edwin usually makes 20 cookies with this recipe, but only wants 5 cookies.
How much is 1/2 teaspoon of vanilla to make 5 cookies?
(PLEASE HELP!!)
the wrong answers that u guessed just to get points and links and other stuff that is not answering this will be reported
Answer:
1/2 teaspoons of vanilla would be too much, the correct amount to use would be 0.125 teaspoons.
Step-by-step explanation:
Since 1 stick butter, 1/2 cup sugar, 1/2 teaspoon vanilla, 3 tablespoons milk, 1 1/2 cup flour, 2 teaspoon baking powder, 1/4 teaspoon salt is the regular recipe for 20 cookies, we would first have to divide 20 by 5 which would equal 4. And just like we had to divide the number of cookies down we have to divide the amount of vanilla down. So now we could turn 1/2 into a decimal which is 0.5. And 0.5 divided by 4 is 0.125.
So Edwin would need 0.125 teaspoons of vanilla so 0.5 ( 1/2 ) teaspoons of vanilla would be too much.
(PLEASE HELP) A teacher surveyed a sample of students from Lake Middle School. He asked the students where they'd like to go for a field trip. He recorded these results:
• 80 chose the aquarium.
• 60 chose the science center.
• 30 chose the planetarium.
• 40 chose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He'll then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
(he surveyed 210 students and about 38% of them chose the aquarium)
Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium.
Answer:
relative frequency of choosing aquarium is 80/210
about 400 students out of 2000 will choose aquarium
Step-by-step explanation:
relative frequency of choosing aquarium is 80/210
proportion:
a = students who choose aquarium
80/210 = a/1000
210a = 80000
a = 80000/210 which is close to 80000/200 which equals 800/2 or about 400 students
Please help meeee! A new crosswalk is being built between the parallel sidewalks of Circle Avenue. The edges of the crosswalk are parallel. One angle that the crosswalk makes with the sidewalk measures 78 degrees, as shown. Determine the measures of the missing angles. The drawing is not drawn to scale.
Answer:
[tex]A = 78^\circ[/tex]
[tex]B = 102^\circ[/tex]
[tex]C = 102^\circ[/tex]
Step-by-step explanation:
Given
The attached image
Required
Find A, B and C
Because the sides of the crosswalk are parallel and the sidewalks are also parallel, then the following relationships exist
[tex]A = 78^\circ[/tex] ---- alternate interior angles
[tex]B = C[/tex] ---- alternate interior angles
To solve for B, we have:
[tex]B + 78 = 180[/tex] --- the sum of the base angles
[tex]B = 180 - 78[/tex]
[tex]B = 102^\circ[/tex]
Recall that:
[tex]B = C[/tex]
[tex]C = 102^\circ[/tex]