Answer:
D
Step-by-step explanation:
Answer: (d)
Step-by-step explanation:
You want to estimate the mean hourly yield for a process that manufactures an antibiotic. You observe the process for 100 hourly periods chosen at random, with the results of 32 ounces per hour and a standard deviation of 7 ounces. Calculate the 95% margin of error (in ounces per hour). (Round your answers to three decimal places.)
Answer:
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used 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 = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 1.9842
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Then
[tex]M = T\frac{s}{\sqrt{n}}[/tex]
[tex]M = 1.9842\frac{7}{\sqrt{100}}[/tex]
[tex]M = 1.389[/tex]
The margin of error for the 95% confidence interval is of 1.389 ounces per hour.
If n −−√=9
then n=
Plz help
9514 1404 393
Answer:
n = 3
Step-by-step explanation:
Any calculator, or your knowledge of multiplication tables, will tell you ...
9 = 3×3
√9 = 3
n = 3
A shipping company charges an oversize package fee if the sum of the
dimensions of the package are more than 60 in. The length of the package you
want to send must be twice its width. What are the dimensions of a package
with maximum volume that avoids the oversize fee?
Answer: Length = 40 inches
Width = 20 inches
Step-by-step explanation:
Let the width of the package be represented by x.
Since the length of the package must be twice its width, therefore the length will be: = 2 × x = 2x
Since the sum of the dimensions equals 60 inches. This will then be:
x + 2x = 60.
3x = 60
x = 60/3
x = 20
Therefore, the width = 20 inches
Length = 2x = 2 × 20 = 40 inches
The dimensions should be 40 by 20 inches.
You walk into a store that is closing. The pants normally cost $60.00 but it is discounted 75%. They are also taking an additional 20% off. What is the total prrcentage discounted?
hbngfthjhuiuttyui
Step-by-step explanation:
yiutujhyyiiyttthhuijc
What is the volume of the following rectangular prism?
Answer:
volume = 14 2/3 units³
Step-by-step explanation:
volume = 7 1/3(2) = 14 2/3 units³
Solve the exponential equation: 6–2x = 62 – 3x
Answer:
the answer should be 56 :)
Step-by-step explanation:
Answer:
x=56
Step-by-step explanation:
Try to end up with only a single variable on one side.
Step 1: Add 3x to each side of the equation to keep them both equal. Example: 6-2x+3x=62-3x+3x
or
6+x=62
Step 2: Subtract 6 from both sides. Example:
6+x-6=62-6
or
x=56
Step 3: You found the answer. Hope this helps and is correct.
find the interest and final payment. interest rate: 12%. previous balance: $4,800
Answer:
Equivalent representations of percent problems
Step-by-step explanation:
Bailee plots two points on the coordinate grid. She put point J at (3,9) and (8,2)
Answer:
B. 8.6 units
Step-by-step explanation:
I've plotted both points on the picture below. The distance between the two points is 8.6023252670426 units, which is closest to B, 8.6 units. As a result, B is the answer to this question.
An alarming number of U.S. adults are either overweight or obese. The distinction between overweight and obese is made on the basis of body mass index (BMI), expressed as weight/height2. An adult is considered overweight if the BMI is 25 or more but less than 30. An obese adult will have a BMI of 30 or greater. According to a January 2012 article in the Journal of the American Medical Association, 33.1% of the adult population in the United States is overweight and 35.7% is obese. Use this information to answer the following questions.
a. What is the probability that a randomly selected adult is either overweight or obese? (Round your answer to 3 decimal places.)
b. What is the probability that a randomly selected adult is neither overweight nor obese? (Round your answer to 3 decimal places.)
c. Are the events "overweight" and "obese" exhaustive?
A. Yes because you cannot be both overweight and obese.
B. Yes because you can be both overweight and obese.
C. No because you may either be overweight or obese.
D. No because you may be neither overweight nor obese.
Answer:
a. The probability that a randomly selected adult is either overweight or obese is:
= 68.8%.
b. The probability that a randomly selected adult is neither overweight nor obese is:
= 31.2%
c.
D. No because you may be neither overweight nor obese. The events "overweight" and "obese" are not exhaustive.
Step-by-step explanation:
Overweight adult = BMI ≥ 25 but < 30
Obese adult = BMI ≥ 30
Journal of the American Medical Association:
Overweight adult population in the United States = 33.1%
Obese adult population in the United States = 35.7%
The probability that a randomly selected adult is either overweight or obese = Percentage of overweight adult population + Percentage of obese adult population
= 33.1% + 35.7%
= 68.8%
The probability that a randomly selected adult is neither overweight nor obese = 1 - 68.8%
= 31.2%
The events "overweight" and "obese" can only be exhaustive if their combined probabilities of occurrence equals 1 or 100%.
A local brewery distributes beer in bottles labeled 24 ounces. A government agency thinks that the brewery is cheating its customers. The agency selects 50 of these bottles, measures their contents, and obtains a sample mean of 23.7 ounces and sample standard deviation of 0.8 ounces. . Test the claim by the government agency that the population mean is less than 24 ounces at the 0.01 level of significance.
Answer:
We reject H₀ . We support the feeling of people from a government agency
Step-by-step explanation:
Population information:
Population mean μ = 24 ou
Sample information:
Sample size n = 50 then degree of fredom df = n - 1 = 49
Sample mean x = 23,7
Sample standard deviation s = 0,8
Hypothesis Test:
Null Hypothesis H₀ x = μ
Alternative hypothesis Hₐ x < μ
Significance level α = 0,01
We can conclude from the alternative hypothesis that we should develop a one tail-test ( to the left " if a local brewery is cheating its customers that mean, they are selling less beer than they are supposed to)
With α = 0,01 and df = 49 we get from t-student table t(c) = - 2,4
To calculate t(s)
t(s) = ( x - μ ) / s/√n
t(s) = ( 23,7 - 24 ) / 0,8/√50
t(s) = - 0,3* 7,07 / 0,8
t(s) = - 2,12 / 0,8
t(s) = - 2,65
Comparing t(c) and t(s)
|t(c)| < |t(s)|
2,4 < 2,65
Then t(s) is in the rejection region we reject H₀ , and agree with a government agency in the fact that at 99 % of confidence interval shows that local brewery is cheating customers
The price of a computer component is the tracing at a rate of 10% per year if the components cost $90 today what will it cost in three years
Answer:
$119.79
Step-by-step explanation:
Year 1:
10% of 90 is 99
Year 2:
10% of 99 is 9.9
Year 3:
10 percent of 108.9 is 10.89
108.9+10.89= 119.79
Tarzan leaned a 100-foot ladder against the side of a building. The
hase of the ladder is 18 feet from the base of the building. The top of
the ladder is 16 feet from the top of the building How tall, to the
narest tenth of a foot, is the building?
16
100
18
Answer:
is 16 foot a part from the building
Which figure correctly shows a horizontal reflection of the illustration?
Answer:
Step-by-step explanation:
B
130% of what number is 75.4?
Please help worth 10 points
Answer:
2.5%
Step-by-step explanation:
ahhh has to be 20 characters
I would say 50 percent
Solve each of the following equations. Show its solution set on a number line. 5− p+6 =−8
5-|p+6|=-8
5-distance=-8= distance of them= 13
|p+6|=13
distance between/from p and -6
= -19 or 7,
So
Please Make me the brainliest pls
Mia practiced violin for 4⅛ hours per day for 5 days. How many hours did she practice?
Answer:
20 5/8
Step-by-step explanation:
convert mixed number into decimal by changing mixed number into an improper fraction then dividing
multiple by 5
boom you got your answer:p
Find the discounted price, to the nearest cent, for a portable CD player that sells for
$59.95 and is on sale for 30% off. (3 points) help pls
Answer:
41.96$
Step-by-step explanation:
To find the discounted price we need to calculate the 30% of the $59.95
and to do that we need to multply 59.95 with 30 and divide it by 100
59.95 x 30 ÷ 100 = 17.985
59.95 - 17.985 = 41.965 and 41.96 is the discounted price
4. Which set is an example of like fractions?
O A. 10/10 and 5/5
O B.74 and 4
O C.2/1 and 23
OD.72 and 32
A
The sales tax rate on a new vehicle is
6.5%. If the vehicle is $ 12,000, then how
much will you be charged for sales tax?
Answer:
$780
Step-by-step explanation:
12,000X6.5=78,000
78,000/100=780
What is the answer for 82-(72+1)
Answer:
The answer should be 9.
Step-by-step explanation:
Find the PERIMETER and AREA of each figure below
help ASPS
Find the perimeter and area 22-24 and only find the area for 25-26
Answer:
22)
[tex]2(length+breadth+h)[/tex][tex]2(5a^2b^2+3ab^2)[/tex][tex]Perimeter: 2ab^2(5a^2+31)[/tex][tex]Area:-[/tex]
[tex]5a^2b^4 *3ab^2[/tex][tex]A=15a^2b^6[/tex]-----------
23)
[tex]perimeter:-[/tex]
[tex]4m^2+3mn^2+7mn[/tex][tex]4m^2+10mn^2[/tex][tex]answer: 2m(2m+5n^2)[/tex][tex]Area:-[/tex]
[tex]\frac{1}{2}* base* height[/tex][tex]1/2*3mn^2*4m^2[/tex][tex]6mx^{2+1}n^2[/tex][tex]A=6m^3n^2[/tex]----------
24)
[tex]1/2*b*h[/tex][tex]1/2x^24m^2*8mn[/tex][tex]A=16m^3n[/tex]----------
25)
[tex]1/2*(7a^2b+11a^2b)*3ab[/tex][tex]1/2*18a^2b*3ab[/tex][tex]9a^2b*3ab[/tex][tex]A=27 a^3b^2[/tex]------------
26)
[tex]A= 9\pi (x^3y)^2[/tex]∴To calculate the perimeter , add the length of its sides.
∴To calculate the area, multiply its height by its width.
------------------------
hope it helps...
have a great day!!
PLEASE HELP
Quality Cab charges $1.50 for the first mile
and $0.30 for each additional mile. Comfy
Cab charges $2.40 for the first mile and $0.20
for each additional mile. At what distance
do the two charge the same?
And please add how you did it
Answer:
£4.40
Step-by-step explanation:
you
just
add
it
all
up
I think
Answer: 1.5 + .3m = (20-2)
mike ran 1/2 mile during gym class . how many feet did he run.
Jamal purchased a truck for $10,000. The truck depreciates 10% each year. What is the value of
the truck after 8 years? Round 2 decimal places.
Answer:
Step-by-step explanation:
Uui
Can someone help me pls
Answer:
AB = 18
Step-by-step explanation:
tan 45° = 18/AB
1 = 18/AB
AB = 18
Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$49.75
$74.75
$156
$1196
Mark this and return Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
Four roommates want to split the price of a computer. How much will each roommate pay? Write an equation and solve it by using the information in the table.
A 2-column table with 4 rows. Column 1 is labeled Electronics with entries Mp3 player, computer, tablet, smart phone. Column 2 is labeled Sale Price in dollars with entries 39, 299, 199, 78.
$49.75
$74.75
$156
$1196
Mark this and return
$49.75
$74.75
$156
$1196
Mark this and return
$49.75
$74.75
$156
$1196
Mark this and return
Answer: $74.75
Step-by-step explanation:
Answer:
74.75 dolors i take test
Step-by-step explanation:
Many employers screen by GPA, in addition to a variety of skills. Suppose a student is in the last semester of college and has a 2.78 GPA after 105 credit hours. If he is taking 15 credit hours in his last semester and gest a perfect 4.0 GPA, what will his overall GPA be? Round to the nearest 2 decimal places. Is it possible to get his GPA up to a 3.0 by graduation?
Answer:
um?
Step-by-step explanation:
Step-by-step explanation:
15*4 = 60 and
105 + 15 =120 and then
x/105 = 2.78
x = 291.9+60
total credit = 351.9 then
351.9/120 =2.9325
Round 2 decimal place is
2.93
HELP LOOK AT THE PHOTO
[tex]\bf{Hello!}[/tex]
The answer is 140°
Because we can use exterior angle property here
Exterior angle property : It states that exterior angle is the sum of two opposite interior angles
y = 120 + 20 = 140°
Answer:
140 degrees
Step-by-step explanation:
A triangle's sum of interior angles is 180.
120+20=140
180-140=40
So X= 40.
X and Y are supplementary, so they both add up to 180.
180-40=140
Therefore, Y=140.
which expression can you substitute for x in 5x+y=8 to solve the system below?
5x+y=8
x+4y=2
Answer:
x =30/19 and y =2/19
Step-by-step explanation:
5x + y = 8
x + 4y = 2
then
5x + y = 8
-5(x +4y =2)
5x + y = 8
-5x - 20y = - 10
0 +y - 20y = -2
- 19y = -2
y = 2/19 then
5x + 2/19 = 8
5x = 152-2/19
5x/5 =150/19 *1/5
x =30/19