The company would receive around 358 responses in total during this period, assuming the pattern of a 10% decline in responses each day continues.
To determine the total number of responses the company would receive over the course of the first 23 days after the magazine was published, we can use the information that the number of responses is declining by 10% each day. Let's break down the problem day by day:
Day 1: 70 responses
Day 2: 70 - 10% of 70 = 70 - 7 = 63 responses
Day 3: 63 - 10% of 63 = 63 - 6.3 = 56.7 (rounded to 57) responses
Day 4: 57 - 10% of 57 = 57 - 5.7 = 51.3 (rounded to 51) responses
We can observe that each day, the number of responses is decreasing by approximately 10% of the previous day's responses.
Using this pattern, we can continue the calculations for the remaining days:
Day 5: 51 - 10% of 51 = 51 - 5.1 = 45.9 (rounded to 46) responses
Day 6: 46 - 10% of 46 = 46 - 4.6 = 41.4 (rounded to 41) responses
Day 7: 41 - 10% of 41 = 41 - 4.1 = 36.9 (rounded to 37) responses
We can repeat this process for the remaining days up to Day 23, but it would be time-consuming and tedious. Instead, we can use a formula to calculate the total number of responses.
The sum of a decreasing geometric series can be calculated using the formula:
Sum = a * (1 - r^n) / (1 - r)
Where:
a = the first term (70 in this case)
r = the common ratio (0.9, representing a 10% decrease each day)
n = the number of terms (23 in this case)
Using the formula, we can calculate the sum:
Sum = 70 * (1 - 0.9^23) / (1 - 0.9)
After evaluating the expression, the total number of responses the company would receive over the first 23 days after the magazine was published is approximately 358 (rounded to the nearest whole number).
Therefore, the company would receive around 358 responses in total during this period, assuming the pattern of a 10% decline in responses each day continues.
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find an equation for the paraboloid z=4−(x2 y2) in cylindrical coordinates. (type theta for θ in your answer.)
The equation of the paraboloid in cylindrical coordinates is equal to z = 4 - r².
How to convert a rectangular equation into a cylindrical equation
In this problem we find the equation of a paraboloid in rectangular coordinates, whose form in cylindrical coordinates must be found. This can be done by means of the following formulas:
f(x, y, z) → f(r, θ, z)
x = r · cos θ, y = r · sin θ, z = z
First, write the equation of the paraboloid:
z = 4 - x² - y²
Second, substitute all variables and simplify the expression:
z = 4 - r² · cos² θ - r² · sin² θ
z = 4 - r²
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Calculate the volume of this prism.
4 cm
10 cm
5 cm
8 cm
12 cm
which of the following null hypothesis statistical tests require calculating degrees of freedom? group of answer choices all of the above two-sample t-test chi-squared one-sample t-test
The two null hypothesis that are correct answer are two-sample t-test and one-sample t-test.
Among the group of answer choices provided, the tests that require calculating degrees of freedom are the two-sample t-test and the one-sample t-test. Both of these tests belong to the t-test family and involve using degrees of freedom to determine the critical t-value.
In summary:
- Null hypothesis: The assumption that there is no significant difference between the sample and population or between two samples.
- T-test: A statistical test used to determine if there is a significant difference between the means of two groups or between a sample and population mean.
- Degrees of freedom: A value used in statistical tests that represents the number of independent values in a data set, which can affect the outcome of the test.
So answer is: two-sample t-test and one-sample t-test.
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The null hypothesis statistical tests that require calculating degrees of freedom are the two-sample t-test and the one-
sample t-test. The degrees of freedom are necessary to calculate the t-value for these tests. The chi-squared test also
requires degrees of freedom, but it is not a test for a null hypothesis.
The correct answer is: all of the above.
All these tests require calculating degrees of freedom:
1. Two-sample t-test:
Degrees of freedom are calculated using the formula (n1 + n2) - 2, where n1 and n2 are the sample sizes of the two
groups being compared.
2. Chi-squared test:
Degrees of freedom are calculated using the formula (rows - 1) * (columns - 1), where rows and columns represent the
number of categories in the data.
3. One-sample t-test:
Degrees of freedom are calculated using the formula n - 1, where n is the sample size.
The null hypothesis statistical tests that require calculating degrees of freedom are the two-sample t-test and the one-
sample t-test. The degrees of freedom are necessary to calculate the t-value for these tests. The chi-squared test also
requires degrees of freedom, but it is not a test for a null hypothesis.
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x^3+5x^2+3x+15 factor the polynomial
Answer:
(x+5) (x^2+5)
Step-by-step explanation:
x^3+5x^2+3x+15
Using factoring by grouping
x^3+5x^2 +3x+15
x^2(x+5) + 3(x+5)
Factor out (x+5)
(x+5) (x^2+5)
Answer:
( x + 5 ) (x² + 3)
Step-by-step explanation:
x³ + 5x² + 3x + 15
factor out x²
x² ( x + 5 ) + 3x + 15
factor out 3
x² ( x + 5 ) + 3 ( x + 5 )
factor out x + 5 from the expression
( x + 5 ) (x² + 3)
Jason earns 5% commission as a salesperson. He sold a lawn mower that cost $90. How
much commission did Jason earn
Elizabeth has one third of her pizza left. She cut it into three equal slices. What is the angle measure of each of the three slices of pizza?
Answer:
40 degrees.
Step-by-step explanation:
A circle has a total of 360 degrees.
If a third of the circle remains, it will have one third that amount.
360 / 3 = 120
So 120 degrees remain.
If the remaining amount is cut into three slices, each slice will be one third of that amount.
120 / 3 = 40
Each slice has an angle measure of 40 degrees.
Jon bought a car that costs $2150. He paid $750 down and made a payment of $95 at the end of the first month. How much did he still owe?
Answer:
$1,305
Step-by-step explanation:
subtract how much he paid for the car with how much he paid down
2150-750=1400
then subtract that by the 95 dollars he paid off in the first month
1400-95=1,305
He still needs to pay off $1,305.
Hope this helps!!
is the point (-2,3) a solution to y<2x+1?
Answer:
No it is not
Step-by-step explanation:
Plug it in
3 < 2(-2) + 1
3 < -4 + 1
3 < -3
3 is not less than -3
What does A represent in "BA+AB+AB+CAA"
Answer:
that looks hard sorry i cant help you good luk .
Analyze the diagram below and complete the instructions that follow.
Find sin ZNOM.
Answer:
sin NOM = 3/5
Step-by-step explanation:
sin NOM = opposite/ hypotenuse = MN/OM
OM² = 4² + 3² = 25
OM = √25 = 5
sin NOM = MN/OM = 3/5
Solve the following system of equations by substitution. Show all steps.
f (x) = -x^{2} + 2x +3
g (x) = -2x + 3
Answer:
Given system of equations:
\(\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}\)
To solve by substitution, equate the equations and solve for x:
\(\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}\)
Therefore, the x-values of the solution are \(x = 0\) and \(x = 4\).
To find the y-values of the solution, substitute the found values of x into the functions:
\(f(0)=-(0)^2+2(0)+3=3\)
\(g(0)=-2(0)+3=3\)
\(f(4)=-(4)^2+2(4)+3=-5\)
\(g(4)=-2(4)+3=-5\)
Therefore, the solutions to the given system of equations are:
\((0, 3)\) and \((4, -5)\)
What is 2x(3+x2) when x = −2?
it would be -4 i think
come back and tell me if im wrong
A Chrome book is on sale for 30 % off the original price plus
10% sales tax. If the Chrome book originally price is $360.
What is the final sale price that you will pay for the Chrome
book?
Answer:
288
Step-by-step explanation:
because 20 percent off is 252 and adding the sales tax which is 36 so you get 288
last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d
Answer:
E. 1d+0.015d
G. 1.015d
Step-by-step explanation:
A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.
If three farmers share some bags of fertilizers in the ratio 3:4:5.if the smallest share is 18 bags.what is the largest share
Answer:
30
Step-by-step explanation:
Sum of the ratios = 3 + 4 + 5 = 12
Smallest share = 18 bags
Ratio of the smallest share = 3
Let the largest share = x
From the question
18 ------------ 3
x --------------5
Cross multiply
3x = 18 × 5
Dividing bothsides by 3
X = 18 × 5/ 3
X = 90 / 3
X = 30
Therefore.
The largest share = 30
Pls help I don’t have much time.
Answer:
Dude dont spend 100 points! This place is scamming people
Step-by-step explanation:
The top of the silo is a hemisphere with a radius of 11 ft. The bottom of the silo is a cylinder with a height of 38 ft. How many cubic feet of grain can the silo hold? Use 3.14 for pi and round your answer to the nearest cubic foot.
Answer:
17,224 ft^3 to nearest cubic foot.
Step-by-step explanation:
Volume of grain it can hold
= volume of hemisphere + volume of the cylinder
= 1/2 * 4/3 * 3.14 * 11^3 + 3.14 * 11^2 * 38
= 2786.23 + 14437.72
= 17223.95
Which of the following measures is not needed for constructing a box-plot?
A> First quartile
B. 50th percentile
C. 75th percentile
D. 95th percentile
The answer is D. 95th percentile is not needed for constructing a box-plot.
A box plot, also known as a box-and-whisker plot, provides a visual representation of the distribution of a dataset. It consists of several key measures, including the following:
A. First quartile (Q1): This is the 25th percentile, which marks the lower boundary of the box.
B. 50th percentile: This is the median, which is the middle value of the dataset when it is ordered from smallest to largest. It is represented by a line within the box.
C. 75th percentile (Q3): This is the upper quartile, marking the upper boundary of the box.
D. 95th percentile: This measure is not typically used in constructing a box plot. It provides information about the value below which 95% of the data falls, but it is not necessary for constructing the basic elements of a box plot.
Therefore, the correct answer is D. 95th percentile.
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The number of millions of people in a certain country who lived below the poverty level for the year can be modeled by y=0.008x2 -0.4518+46,888 where x is the number of years after 1990.
a. The vertax of the graph of this function is a:
The vertex of the graph of function y = 0.008x² - 0.4518 + 46,888 is a point at (0, 46,888). The function models the number of millions of people in a certain country who lived below the poverty level.
The given function that models the number of millions of people in a certain country who lived below the poverty level for the year is:
y = 0.008x² - 0.4518 + 46,888
where x is the number of years after 1990. To find the vertex of the graph of this function, let us first convert the given function to the vertex form of a quadratic equation:
y = a(x - h)² + kWe
are given the function as:
y = 0.008x² - 0.4518 + 46,888
Comparing with the vertex form of a quadratic equation:
y = a(x - h)² + k
We get: a = 0.008,h = 0 and k = 46,888
Substituting these values in the vertex form of a quadratic equation, we get:
y = 0.008(x - 0)² + 46,888y = 0.008x² + 46,888
Now we can see that the vertex of the graph of the function
y = 0.008x² + 46,888 is at the point (0, 46,888).
Therefore, the answer is: The vertex of the graph of this function is a point at (0, 46,888).
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-2/3 + 0
Answer as soon as possible :))
Answer:
-2/3 + 0
= 2
– — + 0
3 2
Add — 2/3 and 0 to get – —
3
2
= – —
3
= (–1).2/3 = –0.666666667
the answer is = –0.666666667
Step-by-step explanation:
#Carry on learning
What u have to do: rename ads fractions with common denominators and compare by using < or >
Problem: 5/8 ⬜️ 3/4
Answer:
<
Step-by-step explanation:
First, let's find common denominators:
Multiply 3/4 by 2.
Product is 6/8.
Next, let's compare both fractions:
5/8 ? 6/8
5/8 is less than 6/8.
Therefore 5/8 < 6/8.
An actual distance of 50km corresponds to 4 cm on the map
Answer:
Incomplete question.
Step-by-step explanation:
4 cm = 50 km
1 cm = 50/4 = 12.5 km
Use above ratio or
50 km = 4 cm
1 km = 4/50 = 0.08 cm
Which equation results from taking the square root of both sides of (x – 9)2 = 81?
Answer:
equation is 2x - 18 = 81
Step-by-step explanation:
(x - 9)2 = 81
(2x - 18) = 81
taking the square root of both sides
\((\sqrt{2x - 18} ) = \sqrt{81}\)
\((\sqrt{2x - 18})^2 = 81\)
2x - 18 = 81
2x = 81 + 18
2x = 99
x = 99/2
x = 49.5
Thank you guys for helping me. I need help on this one
Answer: 10 times 8 and 8 times 10
Step-by-step explanation:
those are the first in the multiplication table that have the same digits
Select the correct answer. dudley is biking. he wants to cover 40 miles. if he travels 30 miles every 2 hours, what is the equation of a line that models y, the number of miles he has left to travel, after biking x hours? a. y = -15x â€" 40 b. y = -30x 40 c. y = -15x 40 d. y = 30x â€" 40
The equation will be y = -15x + 40
Equations help us to understand a particular problem better, they give us possible insights into the situation. Equation Formation is an important aspect of Mathematics. We can form equations on the basis of the information given and then analyze it.
Given:
The biker, Dudley wants to travel 40 miles.
It is given that he travels 30 miles every 2 hours.
Obtaining Equation,
Distance traveled in 2 hours = 30 miles
Then, distance traveled in x hours = \(\frac{30}{2}*x = 15x\)
So, the remaining distance to cover = 40 - 15x
or y = 15x - 40
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Simon has 160160160 meters of fencing to build a rectangular garden.
The garden's area (in square meters) as a function of the garden's width xxx (in meters) is modeled by
A(x)=-x(x-80)A(x)=−x(x−80)A, left parenthesis, x, right parenthesis, equals, minus, x, left parenthesis, x, minus, 80, right parenthesis
What width will produce the maximum garden area?
meters
Answer:
its 40
Step-by-step explanation:
took test on kahn
A function assigns values. The width of the rectangle to keep the garden area maximum is 40 meters.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As it is given that the area of Simon's field is given by the function, therefore, to find the maximum of the function we need to differentiate the function and then equate it with zero.
\(A(x)=-x(x-80)\\\\A(x)=-x^2+80x\\\\\dfrac{dA}{dx} = -2x+80\)
Now equating the differentiated function with zero we will get.
\(0=-2x+80\\\\-2x=-80\\\\2x=80\\\\x=40\)
Thus, the width of the field should be zero.
If the width is 40 meters, then the length should also be 40 meters to keep the total fencing as 160 meters. But, if all the sides will be 40 it will be square.
As we know that a square is a form of a rectangle therefore if the width of the rectangle is kept at 40 meters, it will produce the maximum garden area.
Hence, the width of the rectangle to keep the garden area maximum is 40 meters.
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Mckenna was asked to write the following expression in standard form. 3-5(3a 6)3−5(3a 6) when writing the expression in standard form, mckenna made a mistake. \begin{array}{rrr}3-5(3a 6)
The first mistake McKenna made when change the expression to standard form is in step 2.
What is PEMDAS?PEMDAS in mathematics it is a order of operations that must be prioritize when involving more than one operation. PEMDAS is abbreviation for Parentheses, Exponents, Multiply, Divide, Add, Subtract.
For multiply and divide the priority is for those who come first. Also for add and subtract the priority is for those who come first. And for the rest is the priority in order Parentheses, Exponents, Multiply and Divide, Add and Subtract.
In step 2, McKenna added 3 and -5 first when McKenna should have multiplied -5 by (3a+6). Thus, the step 2 is the first time McKenna made a mistake during change the expression to standard form.
You question is incomplete, but most probably your full question was
McKenna was asked to write the following expression in standard form.
3−5(3a+6)
When writing the expression in standard from, McKenna made a mistake.
3−5(3a+6)
3+(−5)(3a+6) Step 1
−2(3a+6) Step 2
−6a+(−12) Step 3
−6a−12 Step 4
McKenna made her first mistake in
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Multiply (0.000302)(1000)
Answer:
0.302
Step-by-step explanation:
Answer: 0.302
Step-by-step explanation:
jeremy says that 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern. is the correct?why or why not
help me!!
Jeremy's claim that the number 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern is false
How to determine the true statement?The number is given as:
Number = 5.676677666777...
The above number is a decimal number.
The dots (...) at the end of 5.676677666777... implies that the number is a repeating number
Repeating numbers are irrational numbers.
This is so because they cannot be expressed as a fraction of two integers
Hence, Jeremy's claim that the number 5.676677666777... is a rational number because it is a decimal that goes on forever with a pattern is false
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3:20 what time will it be in 35 minutes
Answer: 3:55
Add 20 and 35, to get the number of minutes out of 60.
20 + 35 = 55
The time will be 3:55 35 minutes after 3:20.
Hope this helps you!
Answer:
It will be 3:55 because 20 plus 35 equals 55 making it 3:55 in the next 35 minutes.
Step-by-step explanation:
20+35=55