A first-aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation s from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are 23 24 23 29 28 26 27 28 26 Based on these data, a 99% confidence interval for the population mean m has margin of error of ____ mg.
Answer:
2.5 mg
Step-by-step explanation:
Given the data:
23 24 23 29 28 26 27 28 26
The sample standard deviation, s
s = sqrt[Σ(x - mean)²] ÷ (n - 1)
Mean, m = ΣX / n
n = 9
Mean = 234 /9 = 26
Using a calculator :
s = 2.236
The margin of error, MOE
MOE = Tcritical * s/sqrt(n)
Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536
MOE = 3.35536 * 2.236/sqrt(9)
MOE = 3.35536 * 2.236/3
MOE = 3.35536 * 0.7453333
MOE = 2.50086
MOE = 2.5
I WILL GIVE BRAINLIEST !!!What is the product of 4 and 7?
7
O
o
8 9
14
9
14
7
8
Answer:
8? I think I'm not quite sure. lmk
Kenji walks 44 feet in 10 seconds. At this rate, how many miles does Kenji walk in an hour? Show your work. (1 mile 5 5,280 feet) (make it simple)
Answer:
3 miles
Step-by-step explanation:
1 hour = 3,600 seconds (3,600 ÷ 10 = 360)
360 x 44 = 15,840 Feet
1 mile = 5,280 feet
15,840 feet ÷ 5,280 feet = 3 miles
Kenji walks 3 miles in 1 hour.
Hopefully this helps :3 sorry if wrong :( plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
Find the vertex of the parabola y=2x^2+10x+8
Answer:
Step-by-step explanation:
Put the equation into vertex form.
y = 2x² + 10x + 8
= 2(x² + 5x) + 8
= 2(x² + 5x + 2.5²) - 2·2.5² + 8
= 2(x+2.5)² - 4.5
vertex (-2.5, -4.5)
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change
Answer:
The temperature went up by 29 degrees.
Step-by-step explanation:
Since -24 is negative,
Add 5 to 24 = 29.
Dan is randomly selecting an outfit to wear to school. He can choose from 3 shirts: blue striped, red striped, or white. He
can choose from 3 pairs of shorts: tan, blue, or plaid.
Determine whether each statement is true or false.
Select True or False for each statement.
The probability that Dan chooses a striped shirt and a pair of tan shorts is
O True
o
False
There are 6 possible outcomes in the sample space.
O
True
O
False
The probability that Dan chooses a striped shirt and a pair of blue shorts is
o
True
O False
There are 2 ways to choose a red striped shirt and a pair of tan shorts.
O True
O False
Answer:i dont know :(
Step-by-step explanation:
im sorry :(
Answer:
1. true
2. false
3. false
4. false
Step-by-step explanation:
hope this helps
please mark brainiest
please give 5 stars
thank you
Both questions plssssssss
Answer: 4 and 1/4
Step-by-step explanation:
1st question is 4-- count the points that fall above the line
2nd question is 2 out of 8, or 1 out of 4
there are only 2 players who played at least 17 matches AND scored about 5000. There are 8 players who played at LEAST 17 matches
Answers:
1. 4
2. ¼
Explanations:
1. the question is asking how many players were awarded more points than the prediction of the line of best fit (trend line), which can be translated to how many dots are above the line on the graph. 4 dots can be counted above the line
2. 8 players played at least 17 tournaments. of these 8 players, only 2 scored more than 5000 ranking points.
thus, to find the probability, we take 2 ÷ 8 = ¼
i hope this helps! :D
free BRAINLESS it could be youea
please help
85-v=213
solve for v
Step-by-step explanation:
subtract the whole equation by 85 on both sides to get v by itself on the left side
85-85-v=213-85
-v=128
Now we divide the whole equation by negative 1
-1v/-1=128/-1
v=-128
Hope that helps :)
Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning
Answer:
sdfsefsesfsfsefsefsefsefsfsefesef
Step-by-step explanation:
I am very confused on this problem pls help
Answer:
Step-by-step explanation:
let X be free stickers
let y be number of T-shirts bought
TABLE
X Y (PUT THIS IN THE BLUE PLACE)
2 1
4 2
6 3
8 4
10 5 (don't have to put this in)
the ages of six boys are given as 12 years 3 months, 18 years, 13 years 7 months, 17 years 2 months 15 years and 14 years respectively. what is their average age?
Answer:
15 years (180 months)
Step-by-step explanation:
turn it into months first
147
216
163
206
180
168
add them together, then divide by how many there are
1,080/6=180 months
180/12 =15
Beryllium is an extremely lightweight metal that is used in many industries, such as aerospace and electronics. Long-term exposure to beryllium can cause people to become sensitized. Once an individual is sensitized, continued exposure can result in chronic beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium disease, which involves scarring of the lungs. In a study of the effects of exposure to beryllium, workers were categorized by their duration of exposure (in years) and by their disease status (diseased, sensitized, or normal.) The results were as follows:
Duration of Exposure
< 1 1 to < 5 >= 5
Diseased 12 10 18
Sensitized 14 18 13
Normal 66 142 210
Required:
a. Compute the expected frequencies of diseased workers.
b. Compute the expected frequencies of sensitized workers.
c. How many degrees of freedom are there?
Answer:
1. Has been answered below
2. Degree of freedom is 4
Step-by-step explanation:
Row 1: 12+10+18 = 40
Row 2: 14+18+13 = 45
Row 3: 66+142+210 = 418
Grand total = 40+45+418 = 503
Column 1 : 12+14+66 = 92
Column 2: 10+18+142 = 170
Column 3: 18+13+210 = 241
Total = 92+170+241 = 503
Expected frequencies of diseased workers
92x40/503 = 7.316
170x40/503 = 13.52
241 x 40/503 = 19.165
Expected frequencies of sensitized workers
92x45/503 = 8.23
170x45/503 = 15.20
241x 45/503 = 21.56
2.
Degree of freedom
= (Number of row -1)(number of column - 1)
= 3-1 * 3-1
= 2x2
= 4
35% of students enrolled in collage are freshmen. if the total enrollment of the collage is 2800, how many of the students are freshmen?
Answer:
980 students are freshmen.
Step-by-step explanation:
2800*.35=980
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production group believes that the mean weight has changed. They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces. What conclusion can we make from the appropriate hypothesis test at the .01 level of significance
Answer:
We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
Step-by-step explanation:
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.
This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]
The production group believes that the mean weight has changed.
This means that the alternate hypothesis is:
[tex]H_a: \mu \neq 12[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
12 is tested at the null hypothesis:
This means that [tex]\mu = 12[/tex]
They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.
This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]
[tex]z = 2.42[/tex]
Pvalue of the test:
We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.
Looking at the z-table, z = 2.42 has a pvalue of 0.9922
1 - 0.9922 = 0.0078
2*0.0078 = 0.0156
What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?
0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
What is the equation of the horizontal asymptote?
A. y = 0
B. x = 0
C. y = x
D. x = 2
Answer:
horizontal asymptote at y = 0
Step-by-step explanation:
According to the definition of asymptotes, it is a line that the function gets closer and closer to as x goes to plus or minus infinity. The definition clearly does not mention anything about the finite value of x.
However, crossing of asymptotes does not happen in the case of vertical asymptotes because for a given x, the function has only one value but the same y can be obtained for different values of x.
It is a common misconception that graphs of functions can’t cross the asymptotes. This is true only for vertical asymptotes. In fact, there are several examples of functions whose graphs cross the horizontal asymptote. For example:
f(x) = (xe)^((-x)^2)
The horizontal asymptote of the above function is y=0 but it still crosses the x axis at x=0.
hope that helps, I really don't know thought. Quite tricky
Explain the difference between a percent and a unit rate.
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
Robin weighs her math textbook and finds that it is 2 kilograms. How many grams does her textbook weigh?
Answer:
2000
Step-by-step explanation:
1 kilogram is 100 grams therefore 2 kilo grams is equal to 2000 grams
The word kilo means thousand in Greek and i think French
:)
Answer:
2,000 grams :)
Find the lengths of the missing side. Round your answer to the nearest tenth
Answer:
11.2 cm
Step-by-step explanation:
The missing side = the hypotenuse
Apply pythagorean theorem to find he hypotenuse which is given as:
c² = a² + b³
a = 10 cm
b = 5 cm
c = Hypotenuse (missing side)
(Hypotenuse)² = 10² + 5² = 125
Hypotenuse = √125
Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)
Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound How much change should he receive if he pays with a $20 bill? a)
Answer:
$6.20
Step-by-step explanation:
5.75 * 2.40= 13.80
20-13.80= 6.20
$6.20
HELP!!
The local Gas Station is selling 3.5 gallons of gasoline for $22.75. What is the unit price?
PLEASE HELP ME!!!!
Answer:
$6.50/gallon
Step-by-step explanation:
22.75 / 3.5 = $6.50/gallon
Help Me Please.............................(7)
Answer:
Step-by-step explanation:
The first step contains the error.
2x - 10 = 22 Add 10 to both sides
+ 10 +10
2x = 32 Divide by 10
2x/2 = 32/2
x = 16
If the polygon is translated 3 units down and 4 units left, what will the coordinates of the new image be? Use prime notation in expressing the new coordinates.
Answer:
A' (-2,-4) B' (-3,-7) C' (-1,-8) D' (1,-6)
Step-by-step explanation:
Just take it one point at a time and move each point down 3 and 4 left. Prime notation just means to put this little sign ' so it indicates that this is the new coordinate. So A was (2,-1) and A' (the new one) is (-2,-4)
On Joe’s business trip, he spent $258.14 during the 5 day trip on meals. How much did he spend per day on meals, round to the nearest penny?
Answer:
$51.63
Step-by-step explanation:
Joe spent 5 days on the trip and spent $258.14 total on food. To find the cost for each day, divide 258.14 by 5.
258.14 / 5 ≈ 51.63
I Need help plz will give brainlyist for the correct answer
Tyler has to savings accounts that his grandparents opened for him . One of the accounts Pay 8% annual interest Where as the other pay 10% annual interest. If you have $700 more invested at 10% then you invested at 8%, how much do you have invested in each account If the total amount of interest You earn in a year is $106?
Tyler invested $___at 8%, and $___at 10%
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12:00 pm the temperature rose 6
degrees Fahrenheit, what is the temperature at
12:00 pm in degrees?
Answer:
17 degrees
Step-by-step explanation:
-23 + 6 = 17
which situation shows a constant rate of change?
Answer: option D
Step-by-step explanation: just did it
C was wrong and showed option D was the correct answer
e)
2 Before you calculate these answers, first estimate the
a) 30 870 ÷49
b) 221 340 ÷17
c) 100 719÷ 279
d) 75 640 ÷310
Step-by-step explanation:
1.) 630
2.) 13020
3.) 361
4.) 244