Answer:
a = -13/6
Step-by-step explanation:
Multiply both sides by the same number (15). This clears out the fractions:
-2a 13
15 -------- = 15 ----------
5 15
Then we have -2a(3) = 13, or
-6a = 13, or
a = -13/6
A researcher wants to survey 2000 Americans for an obesity study. Match the strategies to their corresponding sampling techniques
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly selc 2000 people.
The researeher makes sure that the proportion of respondents from each state matches the propontion of each state's population to the US population
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people.
Then the researcher makes sure that everyone from each group answers the survey question.
a. Stratified Sampling
b. Systematic Sampling
c. Simple Random Sampling
d. Cluster Sampling
e. Convenience Sampling
Hint: Sampling Methods License Points possible: 1 This is attempt 1 of 1.
Answer:
a. The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
b. The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
c. The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
d. The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
e. The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
Step-by-step explanation:
Samples may be classified as:
Convenient: Sample drawn from a conveniently available pool.
Random: Basically, put all the options into a hat and drawn some of them.
Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.
Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.
Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.
The researcher posts the survey on the Internet the survey question and waits until 2000 people have responded.
First 2000, so convenience.
The researcher gets the complete list from the Census Bureau and surveys every 1500th person on the list.
Every kth element, k = 1500, so systematic.
The researcher gets the complete list from the Census Bureau and uses a computer to randomly select 2000 people.
Randomly selects 2000 people, so random sampling.
The researcher makes sure that the proportion of respondents from each state matches the proportion of each state's population to the US population.
Divides the population into groups(by state), and a few members of each group are surveyed, so stratified.
The researcher picks 20 different small groups:a church group a Democrat club a student club etc. each containing 100 people. Then the researcher makes sure that everyone from each group answers the survey question.
Each element of the cluster is surveyed, so cluster sampling.
Choose the answer that represents the product below as an exponential
expression
2•2•2•2
A. 5^2
B. 4^2
C. 2•4
D. 2^4
Answer:
2^4
Step-by-step explanation:
2*2*2*2
There are four 2's multiplied together
2 is the base and 4 is the exponent
2^4
Answer:
Hello There!!
Step-by-step explanation:
The answer is D. 2^4. 2^4 means the same as 2×2×2×2 which means 2 is multiplied my itself 4 times.
hope this helps,have a great day!!
~Pinky~
hey can some one help with this plz
9514 1404 393
Answer:
21 September
Step-by-step explanation:
Since Alicia is 12 days older, her birthday was 12 days before October 3rd. If we think of October 3rd as equivalent to September 33rd, then 12 days previous is the 33 -12 = 21st day of September.
Alicia's birthday is September 21st.
n circle P with \text{m} \angle NRQ= 60m∠NRQ=60, find the \text{m} \angle NPQm∠NPQ.
Answer:
i dont know
Step-by-step explanation:
i dont know
“1.) 7x - 18 = 4x + 21
Explain your work”
Answer:
x = 13
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
7x - 18 = 4x + 21
Step 2: Solve for x
[Subtraction Property of Equality] Subtract 4x on both sides: 3x - 18 = 21[Addition Property of Equality] Add 18 on both sides: 3x = 39[Division Property of Equality] Divide 3 on both sides: x = 13Answer:
x = 13
Step-by-step explanation:
7 x - 18 = 4 x + 21
Subtract 4x on both side
7x - 4 x - 18 = 4x - 4x + 21
3 x - 18 = 21
Add 18 on each side
3 x - 18 + 18 = 21 + 18
3 x = 39
Divided each side by 3
3 x / 3 = 39 / 3
x = 13
Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes. To test this claim Company B collects the times (in minutes) below for a sample of 12 users. Assume normality. Assignment 6q3 data Construct a 94% confidence interval for the true mean time spent on the web site. a) What is the lower limit of the 94% interval
Answer:
[tex]L = 3.975[/tex]
Step-by-step explanation:
Given
See comment for data
Required
The lower limit 94% confidence interval
First, calculate the mean
[tex]\bar x =\frac{\sum x}{n}[/tex]
[tex]\bar x =\frac{0.9+10+0.9+8.7+4.8+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}[/tex]
[tex]\bar x =\frac{74.1}{12}[/tex]
[tex]\bar x =6.175[/tex]
Next, calculate the standard deviation using:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n}}[/tex]
So, we have:
[tex]\sigma = \sqrt{\frac{(0.9 - 6.175)^2 +(10- 6.175)^2 +.................+(8.9- 6.175)^2 +(4.6- 6.175)^2}{12}}[/tex]
[tex]\sigma = \sqrt{\frac{197.2625}{12}}[/tex]
[tex]\sigma = \sqrt{16.4385416667}[/tex]
[tex]\sigma = 4.054[/tex]
For 94% interval, the z score is
[tex]z = 1.88[/tex]
So, the margin of error (E) is:
[tex]E = z * \frac{\sigma}{\sqrt n}[/tex]
[tex]E = 1.88 * \frac{4.054}{\sqrt {12}}[/tex]
[tex]E = 1.88 * \frac{4.054}{3.464}[/tex]
[tex]E = 2.200[/tex]
The confidence interval of the true mean is:
[tex]CI = (\bar x \± E)[/tex]
The lower limit (L) is:
[tex]L = \bar x -E[/tex]
[tex]L = 6.175 -2.200[/tex]
[tex]L = 3.975[/tex]
and the upper limit (U) is
[tex]U = \bar x + E[/tex]
[tex]U = 6.175 + 2.200[/tex]
[tex]U = 8.375[/tex]
The lower limit is 3.975 and the upper limit is 8.375. Then the confidence interval for the true mean is (3.975, 8.375).
What is the margin of error?The probability or the chances of error while choosing or calculating a sample in a survey is called the margin of error.
Company A is trying to sell its website to Company B. As part of the sale, Company A claims that the average user of their site stays on the site for 10 minutes.
To test this claim Company B collects the times (in minutes) below for a sample of 12 users.
Assume normality. Assignment 6q3 data Construct a 94% confidence interval for the true mean time spent on the website.
z-value for 94% of confidence level is 1.88.
z = 1.88
The mean will be
[tex]\mu = \dfrac{\Sigma x}{n}\\\\\mu = \dfrac{0.9+10+0.9+8.7+8.4+2.6+1+13.3+9.5+8.9+8.9+4.6}{12}\\\\\mu = \dfrac{74.1}{12}\\\\\mu = 6.175[/tex]
Then the stabndard devistion will be
[tex]\sigma = \sqrt{ \dfrac{\Sigma (x - \mu )^2}{n}}\\\\\sigma = \sqrt{ \dfrac{\Sigma (0.9-6.175 )^2+(10-6.175 )^2+...+(4.6-6.175 )^2}{12}}\\\\\sigma = \sqrt{ \dfrac{197.2625}{12}}\\\\\sigma = \sqrt{16.438}\\\\\sigma = 4.054[/tex]
The margin of error (E) will be
[tex]E = z*\dfrac{\sigma}{\sqrt{n}}\\\\E = 1.88*\dfrac{4.054}{\sqrt{12}}\\\\E = 2.200[/tex]
Then the confidence interval of the true mean will be
[tex]CI = (\mu \pm E)[/tex]
The lower limit (L) will be
[tex]L = \mu - E \\\\L = 6.175 - 2.200\\\\L = 3.975[/tex]
The upper limit (U) will be
[tex]U = \mu + E \\\\U = 6.175 + 2.200\\\\U = 8.375[/tex]
More about the margin of error link is given below.
https://brainly.com/question/6979326
Help pleaseeee!!!!!!!!! I’ll mark brainliest!!!!!
Answer:
i believe it is D side angle side
Step-by-step explanation:
Determine whether the sequence converges or diverges. If it converges, give the limit. 1/462, 1/42, 11/42, 121/42
Answer:
Diverges
Step-by-step explanation:
It will diverge due to my calculations
1x1=
9x6 =
18×6=
54×6=
10x2=
Answer:
1x1=1
9x6 =54
18×6=108
54×6=324
10x2=20
Step-by-step explanation:
Which function has a maximum with the same maximum value as..?
It wouldn't let me post my question, so I attached a screenshot. Thank you!
9514 1404 393
Answer:
C. -√(x+6) -2
Step-by-step explanation:
The functions x², √x, and |x| all have ranges that are non-negative values. This means the range of the given function f(x) = -|x+3|-2 will be values that are at most 2.
The ranges of the offered answer choices are ...
A. y ≥ -3
B. y ≥ -2
C. y ≤ -2 . . . . . matches that of the given function
D. y ≤ -3
At a basketball game, a vender sold a combined total of 200 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Answer:
50 hot dogs
150 sodas
Step-by-step explanation:
set up a system of equations where 'h' = # hot dogs sold and '3h' = # sodas sold
h + s = 200
s = 3h
h + 3h = 200
4h = 200
h = 50
s = 200-50 or 150
A new medical test has been designed to detect the presence of the mysterious Brainlesserian disease. Among those who have the disease, the probability that the disease will be detected by the new test is 0.7. However, the probability that the test will erroneously indicate the presence of the disease in those who do not actually have it is 0.02. It is estimated that 20 % of the population who take this test have the disease. If the test administered to an individual is positive, what is the probability that the person actually has the disease
Answer:
0.8974 = 89.74% probability that the person actually has the disease.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Positive test.
Event B: Has the disease.
Probability of a positive test:
0.7 of 0.2(has the disease).
0.02 of 100 - 20 = 80%(does not have the disease). Thus:
[tex]P(A) = 0.7*0.2 + 0.02*0.8 = 0.156[/tex]
Probability of a positive test and having the disease:
0.7 of 0.2. So
[tex]P(A \cap B) = 0.7*0.2 = 0.14[/tex]
What is the probability that the person actually has the disease?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.14}{0.156} = 0.8974[/tex]
0.8974 = 89.74% probability that the person actually has the disease.
will mark as brainliest!
y=acos(b(x-c))+d
give an explanation for how each letter a, b, c and d are shown in the graph compared to y=cosx
NO LINKS NO FILES. After you add 3 to both sides of the equation 27 = m/6 - 3, what should you do next?
Answer:
Multiply each side by 6
Step-by-step explanation:
27 = m/6 - 3
Add 3 to each side
27+3 = m/6 - 3+3
30 = m/6
Multiply each side by 6
30*6 = m/6*6
180 = m
Please ⟟ need help fast
Answer:
do you have a picture or?
have a good day :)
Step-by-step explanation:
Identify a transformation of the function f(x)=|x| by observing the equation of the function g(x)=|x|+4.
Answer:
its 9 plus 9 and equals 19.0
How does the graph of f(x)=4cos(1/2x)-3 differ from the graph of g(x)=4cos(x)-3
Answer:
what is this in? please let me kno2
35 is 40% of what
number?
Answer:
35 is 40% of 87.5
Step-by-step explanation:
[tex]\frac{40}{100}=\frac{35}{x}[/tex]
Cross multiply
[tex]40x=3500[/tex]
Divide both sides by 40
[tex]x=87.5[/tex]
Hope this helps
Pls help 12 points pls
Answer:
3/4
Step-by-step explanation:
Hi there!
There are 6 sections that are odd-numbered and there are 8 sections in total. Therefore, the probability that the pointer will land on an odd-numbered section is 6/8, or 3/4 when simplified.
I hope this helps!
The monthly cost of driving a car depends on the number of miles driven. Lynn found that in May it cost her $420 to drive 500 mi and in June it cost her $444 to drive 620 mi. (a) Express the monthly cost C as a function of the distance driven d, assuming that a linear relationship gives a suitable model. C(d)
Answer:
[tex]C(d) = \frac{1}{5}d + 320[/tex]
Step-by-step explanation:
Given
[tex]d \to miles[/tex]
[tex]C \to cost[/tex]
So:
[tex](d_1,C_1) = (500,420)[/tex] --- May
[tex](d_2,C_2) = (620,444)[/tex] --- June
Required
Express as a function
Start by calculating the slope (m)
[tex]m = \frac{\triangle C}{\triangle d}[/tex]
[tex]m = \frac{444-420}{620-500}[/tex]
[tex]m = \frac{24}{120}[/tex]
Simplify
[tex]m = \frac{1}{5}[/tex]
The equation is:
[tex]C(d) = m(d - d_1) +C_1[/tex]
[tex]C(d) = \frac{1}{5}(d - 500) +420[/tex]
[tex]C(d) = \frac{1}{5}d - 100 +420[/tex]
Take LCM
[tex]C(d) = \frac{1}{5}d + 320[/tex]
I would appreciate if someone could answer this for a brainlist :)
Answer:
x is 40° because it's same side interior angle
y is 140° because it's a corresponding angle with the 140° angle
z is 40° because it's a corresponding angle with x
Answer:
X=40, Y=140, Z=40 because total sum is 360
please, this is the last time I'm asking, just help me with the Volume.
Answer: 4374
Step-by-step explanation:
Jom!
06 PM
What is the slope of the line that passes through the points (-4, 4) and (-6, 6)?
Write your answer in simplest form.
Answer:
Step-by-step explanation:
Gọi A là biến cố học giỏi mon toán, B là biến cố học giỏi môn văn. Biến cố của biến cố A+B có nghĩa là
Avery invested $3,800 in an account paying an interest rate of 5\tfrac{1}{2}5
2
1
% compounded monthly. Serenity invested $3,800 in an account paying an interest rate of 6\tfrac{1}{8}6
8
1
% compounded continuously. After 17 years, how much more money would Serenity have in her account than Avery, to the nearest dollar?
After 17 years, Serenity has $778 more than Avery
The formula for calculating the compound amount is expressed according to the formula;
[tex]A=P(1+\frac{r}{n} )^{nt}\\[/tex]
For Avery;
P = $3,800
rate = 5 1/2 % = 0.055
time = 17 years
n = 12 (monthly compounding)
Substitute into the formula to have:
[tex]A=3800(1+\frac{0.055}{12} )^{12(17)}\\A=3800(1+0.00458)^{204}\\A=3800(1.00458)^{204}\\A=3800(2.5401)\\A = \$9,652.22[/tex]
Hence the amount that will be in Avery's account after 17years is $9,652
For Serenity;
P = $3,800
rate = 6 1/8 % = 0.06125
time = 17 years
n = 1 (continuous compounding)
Substitute into the formula to have:
[tex]A=3800(1+\frac{0.06125}{1} )^{1(17)}\\A=3800(1+0.06125)^{17}\\A=3800(1.06125)^{17}\\A=3800(2.7473)\\A = \$10,439.62[/tex]
Hence the amount that will be in Serenity's account after 17years is $10,430.
Amount Serenity have more than Avery = $10,430 - $9652 = $778
Learn more on compound amount here: https://brainly.com/question/18442810
What is the total surface area of a rectangular prism box that measures 5 feet by 1 foot by 1 foot
Answer:
22 ft²
Step-by-step explanation:
SA = 2(5 x 1) + 2 ( 5 x 1 ) + 2 (1x1)
SA = 20 + 2 = 22
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Is kissing and making out the same thing or are they 2 different things?
Answer:
different
Step-by-step explanation: very different
ind the median for the set of numbers 5,5,7,9,11,12,18,18
Answer:
10
Step-by-step explanation:
Answer: The median is 10
Step-by-step explanation:
pls help me with this q
please helpppp!!! it’s timed!!!! thank u for helping!!!!!
Answer:
ADMC
Step-by-step explanation:
The secant of a circle is a line that cuts the cuts two points of the circumference with one end point external to the circle;
Fro the given diagram, the two lines that cuts the circumference of the circle at two points are AEB and ADMC
Hence the one that contains diameter with point M is line ADMC
