Answer:
We would have to take a sample of 62 to achieve this result.
Step-by-step explanation:
Confidence level of 95%.
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assume that the standard deviation in the amount of caffeine in 8 ounces of decaf coffee is known to be 2 mg.
This means that [tex]\sigma = 2[/tex]
If we wanted to estimate the true mean amount of caffeine in 8 ounce cups of decaf coffee to within /- 0.5 mg, how large a sample would we have to take to achieve this result?
We would need a sample of n.
n is found when [tex]M = 0.5[/tex]. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.5 = 1.96\frac{2}{\sqrt{n}}[/tex]
[tex]0.5\sqrt{n} = 2*1.96[/tex]
Dividing both sides by 0.5
[tex]\sqrt{n} = 4*1.96[/tex]
[tex](\sqrt{n})^2 = (4*1.96)^2[/tex]
[tex]n = 61.5[/tex]
Rounding up
We would have to take a sample of 62 to achieve this result.
The manufacturers of a dietary supplement claim that their product will help customers lose weight. To test their claim, they select a sample of nine subjects, and their weights are recorded. Then, the ten subjects take the supplement for one month, and their weights are recorded again. The weights, before and after, are listed below: Subject 1 2 3 4 5 6 7 8 9 Before 225 245 188 210 282 275 230 195 190 After 215 240 188 212 175 260 225 200 185 Assuming that this data is used to conduct a hypothesis test to test the manufaturers' claim, what would be the test statistic
Answer:
Assuming that this data is used to conduct a hypothesis test to test the manufacturers' claim, the test statistic we an use is:
the paired sample t-test.
Step-by-step explanation:
a) Data and Analysis:
Subject Before After
1 225 215
2 245 240
3 188 188
4 210 212
5 282 175
6 275 260
7 230 225
8 195 200
9 190 185
b) The paired sample t-test is used to compare the means from the same dataset but at different times (say, one month apart). It supports the comparison of sample data before and after the data subjects have taken the dietary supplement. When the t-value is high, it is an evidence that the null hypothesis should be rejected. The higher value of the t-test, therefore, indicates that there is a large difference between the two sample sets. On the other hand, a small t-value shows similarity between the two sample sets.
What type of sequence is this? *
9, 14, 19, 24, 29, ..
Answer:
an arithmetic sequence
Step-by-step explanation:
I think it's because it adds 5 each time and in arithmetic sequences there's a common difference, so it'd be an arithmetic sequence :)
Find the distance between the points (3,7) and (3,2)
Answer:
5 units.
Step-by-step explanation:
Since the distance is straight up.
You have two options:
Graph those two points and count the spaces separating them
or
Since they have the same x, you would only need to subtract 7-2.
The city of Arachna has a spider population that has been doubling every year. If there are about 100,000 spiders this year, how many will there be 2 years from
now?
A:200,000
B:400,000
C:800,000
D:1,600,000
help me for a brianly
Answer:
32 yd²
Step-by-step explanation:
because 8 • 4 is 32 so it's 32 yd²
Answer:
A = 32 yds^2
Step-by-step explanation:
We know the formula for the area of a rectangle is
A = lw where l is the length and w is the width
A = 4 yds * 8 yds
A = 32 yds^2
Type the correct answer in each box.
y у
&
X
1000
Z
1500
The three interior angle measures of this triangle are x=
y=
, and z=
Reset
Next
2021 Edmentum. All rights reserved.
Answer:
x = 30°
y = 70°
z = 80°
Step-by-step explanation:
[tex]x = 180 \degree - 150 \degree = 30 \degree \\ \\ z = 180 \degree - 100 \degree = 80 \degree \\ \\ y = 180 \degree - (30 \degree + 80 \degree ) \\ \\ y = 180 \degree -110 \degree \\ \\ y = 70 \degree[/tex]
The cost of 50 pounds of beans is $?
Pls help!!
Answer:
The answer is 40
Step-by-step explanation:
The cost of 50 pounds of beans is 40 dollars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We can use a ratio to solve the problem;
5 pounds/ 4 dollars = 50 pounds/ x dollars
Using cross products;
5x = 4 x 50
5x = 200
Divide by 5;
5x/5 = 200/5
x = 40
The cost of 50 pounds of beans is 40 dollars.
Learn more about the unitary method, please visit the link given below;
https://brainly.com/question/23423168
#SPJ2
Find the reference angle in radians: 7pi over 12
Answer:
5π/12
Step-by-step explanation:
5 pie / 12
(hope this helps can i plz have brainlist :D hehe)
WILL GIVE BRAINLEST!!!!!
On Saturday, Joe ran (M) miles in 1.5 hours. On Sunday, he ran four times as far in six hours. If his average speed for two days is 6 mph, how far did he run on Saturday?
A. 5.3 miles
B. 9 miles
C. 7 miles
D. 13.5 miles
Answer:
D I'm not sure if it is correct but I'm sorry if wrong Good luck!
Help me please and B
Answer:
answer a
Step-by-step explanation:
Ms. Alders has $50 to buy prizes for the treasure box in her classroom. She bought 12 packages of stickers, 8 boxes of pencils, and 14 boxes of erasers. Each package of stickers cost $1.50, each box of pencils cost $1.35, and each box of erasers cost $0.80. How much money did Ms. Alders have left after these purchases?
A.$40.00
B.$10.00
C. $16.00
D $34.00
от
Background
14/15 -
Wesley walked 11 miles in 4
hours.
If he walked the same distance every hour,
how far did he walk in one hour?
Write your answer:
a. Using only miles
b. Using a whole number of miles and a whole number of feet
Answer:
2.75 miles, 14520 feet
Step-by-step explanation:
11 miles/4=2.75
1 mile=5280 feet
2.75 miles=14520 feet
The state of Georgia has roughly 10⁷ human residents. Each human has roughly 10¹³ bacteria cells in his or her digestive tract. How many bacteria cells are there in the digestive tracts of all the humans in Georgia?
Answer:
10^20
Step-by-step explanation:
So in this word problem, we have to multiply 10^13 bacteria cells on a single person by the 10^7 of people.
Always remember this, when you have exponenets with the same bases, and the question asks for multiplying and dividing exponents, you just need to add and subtract the exponent.
So in this case, we will just add since it calls for multipactation.
So we need to solve:
10^13+7
This will just equal:
10^20 power
Hope this helps ;)
10 POINTS FOR THE CORRECT ANSWER PLEASE HELP ME
Answer:
10.3
Step-by-step explanation:
6²+b²=9²
36+b²=81
b²=81-36
b²=45
b=√45
b=6.7
So CE is 6.7.
6²+b²=7²
36+b²=49
b²=49-36
b²=13
b=√13
b=3.6
so EA is 3.6
AC = CE+EA = 6.7+3.6 = 10.3
The length of a rectangle is 20 meters and the width is 4 meters. What is the perimeter of the rectangle? Do not include units in your answer
Answer:
48
Step-by-step explanation:
What is the greatest number of pizzas Mrs. Rane can buy?
Please put how many pizzas there are and how much money he has (please put the full question)
Find the third side in simplest radical form:
Answer:
4
Step-by-step explanation:
the third side = x
Pythagorean theorem: a² + b² = c²
3² + x² = 5²
=> x² = 5² - 3²
=> x = √5² - 3²
=> x = √25 - 9
=> x = √16
=> x = 4
Which expression has the greatest value?
2,067 + 49
20 x (2,067 + 49)
1/3x (2,067 +49)
(2,067 +49) x 21
if you help me you will get brainlyest
Answer:
(2,067 + 49) x 21
Step-by-step explanation:
I did the math for each answer
If the price of onions is $8 per pound, how much would 4.7
pounds of onions cost?
Answer:
37.6 dollars
Step-by-step explanation:
4 pounds = 32 dollars
0.2 pound = 1.6 dollars
0.5 = 4 dollars
0.1 = 0.8 dollars
I need help real quick
What is the average rate of change for this exponential function for the interval from x = 1 to x = 3?
A. 6
B. -6
C. -3
D. 3
Write 3 ratios equivalent to 2/5
Answer:
4/10, 6/15, 8/20
Step-by-step explanation:
The angle measures of a triangle are shown in the
diagram.
What is the value of x?
FOR BRAINLIST!!
to Find the quotient of 4÷1/5 multiply 4 by WHAT???
HURRY PLSS
Answer:
So 4 ÷ 1/5 = 4 × 5. So your answer is 5.
please help me i really need help please help me please
Answer:
F'=(1,-5)
Step-by-step explanation:
First off, F is moved 4 units right and 2 units down: add 4 to the x component of the coordinate and take 2 from the y component:
-3+4=1
7-2=5
So our point is (1.5) before it is reflected over the y-axis.
When a point (a,b) is reflected over the y-axis, it's coordinates change to (a,-b). Therefore (1,5) changes to (1,-5)
The volume of a right circular cone with radius r and height h is V = pir^2h/3.
a. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r to r and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)
The question is incomplete. The complete question is :
The volume of a right circular cone with radius r and height h is V = pir^2h/3. a. Approximate the change in the volume of the cone when the radius changes from r = 5.9 to r = 6.8 and the height changes from h = 4.00 to h = 3.96.
b. Approximate the change in the volume of the cone when the radius changes from r = 6.47 to r = 6.45 and the height changes from h = 10.0 to h = 9.92.
a. The approximate change in volume is dV = _______. (Type an integer or decimal rounded to two decimal places as needed.)
b. The approximate change in volume is dV = ___________ (Type an integer or decimal rounded to two decimal places as needed.)
Solution :
Given :
The volume of the right circular cone with a radius r and height h is
[tex]$V=\frac{1}{3} \pi r^2 h$[/tex]
[tex]$dV = d\left(\frac{1}{3} \pi r^2 h\right)$[/tex]
[tex]$dV = \frac{1}{3} \pi h \times d(r^2)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
a). The radius is changed from r = 5.9 to r = 6.8 and the height is changed from h = 4 to h = 3.96
So, r = 5.9 and dr = 6.8 - 5.9 = 0.9
h = 4 and dh = 3.96 - 4 = -0.04
Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi (5.9)(4)(0.9)+\frac{1}{3} \pi (5.9)^2 (-0.04)$[/tex]
[tex]$dV=44.484951 - 1.458117$[/tex]
[tex]$dV=43.03$[/tex]
Therefore, the approximate change in volume is dV = 43.03 cubic units.
b). The radius is changed from r = 6.47 to r = 6.45 and the height is changed from h = 10 to h = 9.92
So, r = 6.47 and dr = 6.45 - 6.47 = -0.02
h = 10 and dh = 9.92 - 10 = -0.08
Now, [tex]$dV = \frac{2}{3} \pi r h (dr)+\frac{1}{3} \pi r^2 dh$[/tex]
[tex]$dV = \frac{2}{3} \pi (6.47)(10)(-0.02)+\frac{1}{3} \pi (6.47)^2 (-0.08)$[/tex]
[tex]$dV=-2.710147-3.506930$[/tex]
[tex]$dV= -6.22$[/tex]
Hence, the approximate change in volume is dV = -6.22 cubic units
Helpp plzz will mark brainlrast
bro i will do it but just tell me the answer to question 1 cuz thats what it is referring too
Imagine that a researcher correctly computes a correlation coefficient to quantify the relationship between two variables. In the data set that she works with, low scores on Variable X tend to be paired with low scores on Variable Y, and high scores on Variable X tend to be paired with high scores on Variable Y. Based on this data set, what type of correlation coefficient should the researcher expect to find
Answer:
Positive value of correlation Coefficient
Step-by-step explanation:
The correlation Coefficient value, R is a correlation measure which gives information about both the strength of association between two variables and also the type of association between them (negative or positive). R has a standardized value which ranges from - 1 to +1
Negative relationship between variables are depicted with negative (where one variable decreases as the other increases) R value while positive association (increase in one variable means leads to increase in the other variable) are depicted with positive R values.
Therefore, for the relationship described above, the correlation Coefficient will be positive.
Find the area of this parallelogram
Answer:
140 cm²
Step-by-step explanation:
The height of the parallelogram is 10cm . And its base is 14cm .We know that the area of parallelogram is product of base and height .
⇒ Area = base × Height
⇒ Area = 14cm × 10cm
⇒ Area = 140 cm² .
Hence the area of the parallelogram is 140 cm² .A traveling circus is moving in a train consisting of 20 cars, which were randomly adjoined to each other. 2 cars are carrying clowns, 2 cars house trapeze artists, 4 are reserved for lions, 4 - for bears, 4 - for elephants, and 4 for tents and provisions. What is the probability that no elephant or bear car precedes the first car with lions
Answer:
the no elephant or bear car precedes the first car with lions is 0.60
Step-by-step explanation:
The computation of the probability is shown below:
= 1 - (no depend or acrobat car precedes)
= 1 - (4 ÷ 20 + 4 ÷ 20)
= 1 - 8 ÷ 20
= 20 - 8 ÷ 20
= 12 ÷ 20
= 0.60
Hence, the no elephant or bear car precedes the first car with lions is 0.60
The same would be considered and relevant too