The sampling methods here that are not examples of simple random sampling are;
A) Select the first 10 people from a list of members.
B) Ask 10 members in the gym on a Monday morning
E) Select every 20th person from a list of members until she has 10 .
F) Ask all members of the gym
What is the importance of simple random sampling?A simple random sample is defined as a randomly selected subset of a particular population. In this method of sampling, it will be noticed that each member of the population has an exactly equal chance of being selected.
The importance of simple random sampling is that it removes every form of bias as every member has an equal chance of being selected. Thus, it will give a good representation of what we want to research.
A) Select the first 10 people from a list of members; This is not simple random sampling because it is not random but specific.
B) This is not random because it is specific which is just a monday morning and we don't have an idea of the type of people that come on the other days.
C) Use a random number generator to select 10 members from a list; This is simple random sampling because a random number generator is used.
D) Select 10 members' names from a box without looking; This is random because all members have an equal chance of being selected.
E) Select every 20th person from a list of members until she has 10; This is not random as all members don't have an equal chance of being selected.
F) Ask all members of the gym; This is not random selection.
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the angel of elevation from a ball on a football field to the top of a 30 foot tall goal post 16 degree 42'. How far is the football from the base of the goal post? Round to the nearest tenth of a foot.
The football is approximately 96.4 feet from the base of the goal post.
What is tangent function?The tangent function in trigonometry is used to determine the proportion between the lengths of the adjacent and opposite sides in a right triangle. Where theta is the angle of interest, the tangent function is defined as:
tan(theta) = opposing / adjacent.
When the lengths of one side and one acute angle are known, the tangent function is used to solve for the unknown lengths or angles in right triangles. In order to utilise the tangent function, we must first determine the angle of interest, name the triangle's adjacent and opposite sides in relation to that angle, and then calculate the ratio of those sides using the tangent function.
Given, the angle of elevation is 16 degrees 42'.
That is,
Angle of elevation = 16 degrees 42' = 16 + 42/60 = 16.7 degrees
Using tangent function we have:
tan(16.7) = 30/x
x = 30 / tan(16.7)
x = 96.4 feet
Hence, the football is approximately 96.4 feet from the base of the goal post.
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need help with my homework plz
Answer:
third answer choice
Step-by-step explanation:
√ 98 square root is 7√2, a irrational number.
add 5
5+7√ 2, irrational
........ help ASAP please....
Answer:
See below
Step-by-step explanation:
In the second step there should be (1 - cot x) instead of (1 + cot x)
(1 + tan x) [1 + cot(-x)]
= (1 + tan x) (1 - cot x)
= 1 - cot x + tan x - tan x cot x
= 1 - cot x + tan x - 1
= tan x - cot x
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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What is the value of 4 in the number 849,567,053
Answer:
40,000,000
Step-by-step explanation:
Answer:
Step-by-step explanation:8 4 9 5 6 7 0 5 3
Ones : 3
Tens : 5
Hundreds : 0
Thousands : 7
Ten Thousands : 6
Hundred Thousands : 5
Million : 9
Ten Million : 4
Hundred Million : 8
Write an explicit rule to represent the sequence: 20, 24, 28, 32, 36....
Please help, I don't understand.
Shireen decided to deposit her graduation gift money in two different savings accounts. Account X has an interest rate of .5% and Account Y has an interest rate of .25%. Altogether, she received $5000 from graduation. If after the first year Her interest earned was $21.25, how much was deposited into each account?a. Define your variables by assigning them to the real-world quantities in the problem.b. Write a system of equations in standard form you can use to solve for those quantities.c. Calculate the x and y intercepts for both equations.d. How much was deposited in each account? Use whatever method you want to solve thesystem of equations.
Let x= be the amount in the account with .5%
Let y be the amount in the account with .25%
We know that interest is
I = PRT
I = 21.25 and time is 1 year so t=1
I = x(.005)(1) + y (.0025)
We also know that the amount invested is 5000
x+y = 5000
The system of equations is
21.25 = .005x + .0025y
x+y = 5000
21.25 = .005x+.0025y
Let x = 0
21.25 = .0025y
21.25/.0025 =y
The y intercept is 8500
Let y =0
21.25 = .005x
21.25/.005 =x
The x intercept is 4250
x+y = 5000
Let x = 0
The y intercept is 5000
Let y =0
The x intercept is 5000
Using substitution
x = 5000-y
21.25 = .005(5000-y) + .0025y
21.25 = 25 - .005y +.0025y
21.25-25 = -.0025y
-3.75 = -.0025y
-3.75/-.0025 = y
1500 = y
Now find x
x+y = 5000
x+1500=5000
x = 5000-1500
x = 3500
Based on the median of the samples, what is a reasonable estimate of the number of students that bike to school? Round to the nearest whole number.
PLEASE ANSWER!!!
The number of students that bike to school is 18
How to determine the valueThe median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.
We should also know that the median is one of the measures of central tendency.
From the information given, we have that the data set representing the number of students is;
10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25
Then, we have that the median number is;
Median = 17 + 18/2
add the values
Median = 35/2
Divide the values
Median = 18 students
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Express ( x + 4 )∧2 as a trinomial in standard form.
Answer: x²+8x+16
Step-by-step explanation:
(x+4)^2=(x+4)(x+4)
Now use distributive property to expand (x+4)(x+4):
(x+4)(x+4)=x²+4x+4x+4(4)
x²+4x+4x+4(4)=x²+8x+16
Answer:
x^2+8x+16
Step-by-step explanation:
Assuming that is to the power of two
We can use special products to do this which states that the answer to this will be a^2+2ab+b^2 where the first value is a and the second value is b. So we just plug that in and do x^2+8x+16.
We can also just do (x+4)(x+4) and do that out but that takes more time and you'll get the same answer.
Let me know if you have any questions
how much money deposited now will provide payment of Rs. 15000 at the end of each half year for 10 years, if interest is 16% compounded six-monthly
The interest is 16% compounded semi-annually, is Rs. 121,179.10.
To determine how much money needs to be deposited now to provide a payment of Rs. 15,000 at the end of each half year for 10 years, we will use the formula for the present value of an annuity.
Present value of an annuity = (Payment amount x (1 - (1 + r)^-n))/rWhere:r = interest rate per compounding periodn = number of compounding periodsPayment amount = Rs. 15,000n = 10 x 2 = 20 (since there are 2 half years in a year and the payments are made for 10 years)
So, we have:r = 16%/2 = 8% (since the interest is compounded semi-annually)Payment amount = Rs. 15,000Using the above formula, we can calculate the present value of the annuity as follows:
Present value of annuity = (15000 x (1 - (1 + 0.08)^-20))/0.08 = Rs. 121,179.10Therefore, the amount that needs to be deposited now to provide payment of Rs. 15,000 at the end of each half year for 10 years, if the interest is 16% compounded semi-annually, is Rs. 121,179.10.
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A ladder 18 ft long rests against a vertical wall. Let θ be the angle between the top of the ladder and the wall and let x be the distance from the bottom of the ladder to the wall. If the bottom of the ladder slides away from the wall, how fast does x change with respect to θ when θ = π 3 ?
Answer: \(9\ ft/rad\)
Step-by-step explanation:
Given
Length of the ladder is \(l=18\ ft\)
Angle between the wall and the ladder is \(\theta\)
from the figure, we can write
\(\Rightarrow \sin \theta=\dfrac{x}{18}\\\\\Rightarrow x=18\sin \theta\)
Differentiate the above equation w.r.t \(\theta\)
\(\Rightarrow \dfrac{dx}{d\theta}=18\cos \theta\\\\\text{at }\theta=\dfrac{\pi }{3}\\\\\Rightarrow \dfrac{dx}{d\theta}=18\cos(\dfrac{\pi}{3})\\\\\Rightarrow \dfrac{dx}{d\theta}=18\times 0.5\\\\\Rightarrow \dfrac{dx}{d\theta}=9\ ft/rad\)
Which is the dependent variable in 4x^2-5/6x-9=y if y=f(x)
Answer:
y
Step-by-step explanation:
The expression
y = f(x)
tells you that y is the dependent variable, and that it depends on x, the independent variable. The independent variable is always the function argument. Any variable that depends on that is the dependent variable.
When an independent variable in a multiple regression model includes a value of X to a higher power, such as X squared, and this model produces a higher value of R-squared than a linear model, this suggests that the residual plot for the linear equation did not produce a random pattern around the zero line of the residual plot.
True or False
The higher R-squared value of the multiple regression model with the higher order independent variable implies that the linear model is not the best fit and that a more complex model is needed to better explain the data
1. Multiple regression models involve fitting a model that includes one or more independent variables to predict a dependent variable.
2.A value of X to a higher power, such as X squared, for an independent variable in a multiple regression model indicates that the relationship between the independent and dependent variables is not linear.
3. If this model produces a higher value of R-squared than a linear model, it means that it is a better fit for the data.
4. However, it does not necessarily imply that the linear model's residual plot is not randomly distributed around the zero line.
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A certain type of car has room for 4 passengers.
How many cars would be needed to fit 78 passengers? ______ cars
Answer:
19 people remaining 2 people
Step-by-step explanation:
20 cars needed for 78 passenger.
what is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Total passenger= 78
and, Each car can carry= 4 people
So, number of cars required
= 78/4
= 19.5
= 20 cars
Hence, 20 cars needed for 78 passenger.
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the table shows types of guinea pig food
(look at picture)
Answer:
I ned pls more
Step-by-step explanation:
Pls for I can be cool.
Answer:
Answer is H. You are Welcome
consider a two-factor factorial design with three levels for facts a, three levels for factor b, and four replicates in each of the nine cells
a. how many degrees of freedom are there in determining the A variation and the factor B variation
b. how many degrees of freedom are there in dreaming the interaction variation
c. how many degrees of freedom are there in determining the random variation
d. how many degrees of freedom are there in determining the total variation
In calculating the factor A variation, there are two degrees of freedom. In determining the variation of factor B, there are two degrees of freedom.
What is a two-factorial design?A two-factor factorial design is an experiment that collects data for all potential values of the two factors of the study. The design is a balanced two-factor factorial design if equivalent sample sizes are used for every of the possible factor combinations.
Suppose we have two components, A and B, each of which has a high number of levels of interest. We will select a random level of component A and a random level of factor B, and n observations will be taken for each experimental combination.
From the data given:
a.
In calculating the factor A variation, there are two degrees of freedom.
In determining the variation of factor B, there are two degrees of freedom.
b.
Finding the degree of freedom using the interaction variation, there are four degrees of freedom.
c.
In finding the random variable, there are 9(4-1) = 27 degrees of freedom.
d.
In calculating the total variable, there are 9*4-1 =35 degrees of freedom.
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6.3 + 6.4 + 9.4
what is the sum of?
Answer:
22.1
You can search for any mathematical expression, using functions such as: sin, cos, sqrt, etc. You can find a complete list of functions here.
Rad
Deg
x!
Inv
sin
ln
π
cos
log
e
tan
√
Ans
EXP
xy
(
)
%
AC
7
8
9
÷
4
5
6
×
1
2
3
−
0
.
=
+
Answer:
22.1
Step-by-step explanation:
there is your answer have a great day
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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The tempture at 6:00 was 9 degress blow zero. The temperature dropped 11 below zero at 8:00. what is the difference between the temperatures
Answer:
20 degrees
Step-by-step explanation:
9 - (-11) = 20 degrees
PLS HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
7. N.CN.7 Determine the zeroes for the equation below. Select all that apply.
x² - 6x +13=0
A. 1
B. 5
C. 13
D. -3 + 2i
E. 3+2i
F. 3+4i
G. 6 + 4i
H. 3-21
I .6-41
Answer:
D. -3 + 2i and E. 3+2i are the zeroes for the equation.
Step-by-step explanation:
I have a question here.
9514 1404 393
Answer:
P(F|A) = 35%
Step-by-step explanation:
P(F|A) = P(F&A)/P(A) = 7%/20% = 0.35
P(F|A) = 35%
_____
The given numbers will let you fill in a table for all of the categories of workers. However, it turns out this question can be answered using only the numbers given in the problem statement.
A druggist has two mixtures of a certain chemical and water, one containing 10% of the chemical and the other containing 40% of the chemical. How much of each mixture should he use to make 10 ounces that contain 25% of the chemical? How many ounces of chemical are in the final mixture? 1 2.5 7.5
Answer:
the answer is= 2.5
Step-by-step explanation:
good luck!
needhelp
select the correct answer
what are the ratios equvialnt to each other
a 1:6 and 2:9
b 2 :23 and 4:8
c 1:64 and 4:16
d 1:16 and 4:64
Which is rational and irroational
Answer:
1. Rational
2. Irrational
3. Irrational
4. Irrational
5. Rational
Step-by-step explanation:
I am not 100% this is correct, but I tried my best
Hope this helps!
~PurpleMist
What is the relationship between the ratios?
0.2/2.6 and 0.3/3.6
Drag and drop a term into the box to correctly complete the statement.
Answer:
proportional
Step-by-step explanation:
test = 100%
Answer: The correct answer is that it is proportional?
what is effect of interest charged on capital on accounting system
Answer:
The amount of interest charged on capital is an indirect expense of the business and on the other hand, it is an income of the owner. Interest on Capital has the following two effects on final accounts: It is an expense of the business, therefore; it will be recorded on the debit side of Profit and Loss Account.
5/6 divided by 1/4 equals?
Answer:
10/3 or 3 1/3
Step-by-step explanation:
Where are the minimum and maximum values for f(x)=−2+4cosx on the interval [0,2π]?
Answer:
\(f(x) = - 2 + 4 \cos(x) \\ for \: minimum \: \: x = 0 \\ f(0) = - 2 + 4 \cos(0) \\ minimum \: value = 2 \\ for \: maximum \: value \: \: x = 2\pi \\ f(2\pi) = - 2 + 4 \cos(2\pi) \\ maximum \: value = - 2\)
The function is minimum at 3π/2 and the function is maximum at 0 and 2π.
What is the maximum and minimum value of the function?The condition for the maximum will be
f(x)'' < 0
The condition for the minimum will be
f(x)'' > 0
The function is given below.
f(x) = −2 + 4cosx
Differentiate the function with respect to x, then we have
f'(x) = − 4 sin x
Again differentiate the function with respect to x, then we have
f''(x) = − 4 cos x
Then the minimum value of the function will be
f'(x) = 0
−4 sin x = 0
sin x = 0
The value of f''(x) is positive in the interval of (π/2, 3π/2). Then the value of x will be
x = π
Then the maximum value of the function will be
And the of f''(x) is negative in the interval of [0,2π] – (π/2, 3π/2). Then the value of x will be
x = 0 and 2π
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Please help ! 100 points ! What is the correct classroom for each given angle
Answer:
NPK: RIGHT ANGLE
NPL: STRAIGHT ANGLE
JPL: OBTUSE ANGLE
Step-by-step explanation: