Answer:
There ya go
Step-by-step explanation:
The U.S. Department of Housing and Urban Development publishes data on the fair market monthly rent for existing one-bedroom housing by metropolitan area (The Federal Register, April 30 1997). The standard deviation for the monthly rent is about $80. Assume that a sample of metropolitan areas will be selected in order to estimate the population mean of the monthly rent for existing one-bedroom housing. Use 95% confidence. a. How large should the sample be if the desired margin of error is $25?
Answer:
\(n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247\)
So the answer for this case would be n=247 rounded up to the nearest integer
Step-by-step explanation:
We know that the standard deviation is :
\(\sigma = 80\) represent the deviation
The margin of error is given by this formula:
\( ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}\) (a)
And on this case we have that ME =25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
\(n=(\frac{z_{\alpha/2} \sigma}{ME})^2\) (b)
The critical value for 95% of confidence interval now can be founded using the normal distribution and the critical value would be \(z_{\alpha/2}=1.960\), replacing into formula (b) we got:
\(n=(\frac{1.960(80)}{25})^2 =246.73 \approx 247\)
So the answer for this case would be n=247 rounded up to the nearest integer
PLZ HELP!!! I NEED THIS ANSWER FAST!
thank you :)
Answer:
B
Step-by-step explanation:
Branliest plss. It will make my day :-)
A respiratory therapist predicts that the proportion of U.S. college students who smoke hookah is greater than 30%. To test this prediction, she surveys 300 random U.S. college, and it is determined that 80 of them smoke hookah. The following is the setup for this hypothesis test: H0:p=0.30 H0:p>0.30 The p-value for this hypothesis test is 0.10. At the 5% significance level, should she reject or fail to reject the null hypothesis? Select the correct answer below: Reject the null hypothesis because 0.30>0.05. Fail to reject the null hypothesis because 0.30>0.05. Reject the null hypothesis because the p-value =0.10 is less than the significance level α=0.05. Fail to reject the null hypothesis because the p-value =0.10 is more than the significance level α=0.05.
Answer:
Fail to reject the null hypothesis because the p-value =0.10 is more than the significance level α=0.05.
Step-by-step explanation:
The significant level for this case study is 5% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.
In this case study, the p-value is 0.10 which is a lot higher than 0.05, thus we will fail to reject the null hypothesis because the p-value =0.10 is more than the significance level α=0.05.
A regular softball has a 1.5 in radius. What is its exact volume?
Answer:
Microsoft, 1998. "The "12-inch" ball measures between 11.88 and 12.13 in (30.2 and 30.8 cm) in circumference and weighs between 6.25 and 7 oz (177.2 and 198.4 g)." Softball. ... Weight not less than 6 1/4 ounces or more than 7 ounces."
Step-by-step explanation:
Answer:
14.14
Step-by-step explanation:
PLEASE HELPP!
What is the slope of y = -4
Answer:
The slope is 0
Step-by-step explanation:
y = mx + b
y = 0x - 4
You can also graph it
Since the graph would be straight, the slope is 0
What is the maximum/minimum value of the function y = -X2 + (6/7) - 9/49?
Answer:
\(0\)Explanation:
Here, we want to get the maximum/minimum value of the given function
The highest power of the function is 2 and that means it is a quadratic function
Given that the leading coefficient is negative, the function does not have a minimum but a maximum value
To get the maximum value (the y-coordinate of the vertex), we use the following formula:
\(\begin{gathered} x\text{ = -}\frac{b}{2a} \\ \\ y\text{ = f\lparen x\rparen} \end{gathered}\)a represents the leading coefficient
b represents the coefficient of x
Substituting the values, we have it that:
\(x\text{ = }\frac{\frac{-6}{7}}{2(-1)}\text{ = }\frac{6}{14}\text{ = }\frac{3}{7}\)We now substitute this value into the original equation
We have this as follows:
\(\begin{gathered} -(\frac{3}{7})\placeholder{⬚}^2+(\frac{6}{7})(\frac{3}{7})-\frac{9}{49} \\ \\ =\text{ -}\frac{9}{49}+\frac{18}{49}-\frac{9}{49}\text{ = 0} \end{gathered}\)Pamela's mother purchased five boxes of candy bars. If each box contains 20 bars, how many candy bars does Pamela's mother have? Explain your answer.
If each box contains 20 bars and Pamela's mother purchased 5 boxes
To get the number of candy bars Pamela's mother have, we will simply multiply the number of box by the number oc candy in each box
That is; 5 x 20bars = 100 candy bars
Hence Pamela's mother have 100 candy bars
find f(2) PLEASE HELP SOLVE!! MATH!!!
The numeric value of the function f(x) = 14/[3 + ae^(kx)] at x = 2 is given as follows:
f(2) = 0.172.
How to obtain the numeric value of the function?The function for this problem is defined as follows:
f(x) = 14/[3 + ae^(kx)]
When x = 0, y = 2, hence we can obtain the coefficient a as follows:
2 = 14/(3 + a)
6 + a = 14
a = 8.
Hence:
f(x) = 14/[3 + 8e^(kx)]
When x = 1, y = 1/2, hence the coefficient k is given as follows:
0.5 = 14/(3 + 8e^k)
1.5 + 4e^k = 14
4e^k = 12.5
e^k = 12.5/4
k = ln(12.5/4)
k = 1.14.
Hence:
f(x) = 14/[3 + 8e^(1.14x)]
Then the numeric value of the function at x = 2 is given as follows:
f(2) = 14/[3 + 8e^(1.14(2))]
f(2) = 0.172.
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What is the constant up a proportionally in a equation y=x/g
Answer:
Step-by-step explanation:
\(y=(\frac{1}{g} )x\)
Constant up a proportionally is \(\frac{1}{g}\).
A standardized exam consists of three parts: math, writing, and critical reading. Sample data showing the math and writing scores for a sample of 12 students who took the exam follow.Student Math Writing1 540 4742 432 3803 528 4634 574 6125 448 4146 502 5267 480 4308 499 4539 610 61510 572 54111 390 33512 593 613(a) Use a 0.05 level of significance and test for a difference between the population mean for the math scores and the population mean for the writing scores. (Use math score − writing score.)(b) Calculate the test statistic.
(a) The null hypothesis is that there is no difference between the population means for the math scores and the writing scores, while the alternative hypothesis is that there is a difference.
(b) The test statistic is:
t = (μ1 - μ2) / sqrt(s1^2/n1 + s2^2/n2)
(a) To test for a difference between the population mean for the math scores and the population mean for the writing scores, we can use a two-sample t-test. The null hypothesis is that there is no difference between the population means, while the alternative hypothesis is that there is a difference.
(b) To calculate the test statistic, we first need to find the sample means and sample standard deviations for the math and writing scores. Let's call the sample mean of the math scores μ1, and the sample mean of the writing scores μ2. Then, the test statistic can be calculated using the formula:
t = (μ1 - μ2) / sqrt(s1^2/n1 + s2^2/n2)
where s1^2 is the sample variance of the math scores, n1 is the sample size for the math scores, s2^2 is the sample variance of the writing scores, and n2 is the sample size for the writing scores.
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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?
(0, 4), (0, 2), (2, 3)
(4, 0), (4, -2), (6, -1)
(4, 8), (4, 6), (6, 7)
(8, 4), (8, 2), (10, 3)
Option A. To translate a figure 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex.
The original vertices are:
(4, 4), (4, 2), and (6, 3)
Subtracting 4 from the x-coordinates, we get the new vertices:
(0, 4), (0, 2), and (2, 3)
To understand how to translate a figure, it is helpful to visualize the original and new positions of the figure in a coordinate plane. In this case, the original triangle has vertices (4, 4), (4, 2), and (6, 3) as shown below:
(4,4)
/ \
/ \
(4,2)----- (6,3)
To translate this triangle 4 units to the left, we need to subtract 4 from the x-coordinates of each vertex. This will shift the entire triangle to the left by 4 units.
So, the new x-coordinates of the vertices become:
x-coordinate of (4, 4) - 4 = 0
x-coordinate of (4, 2) - 4 = 0
x-coordinate of (6, 3) - 4 = 2
The y-coordinates of the vertices remain the same.
Therefore, the new vertices of the triangle are:
(0, 4), (0, 2), and (2, 3)
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A triangle with vertices (4, 4), (4, 2), and (6, 3) is translated a distance of 4 units to the left. What are the new coordinates?
A. (0, 4), (0, 2), (2, 3)
B. (4, 0), (4, -2), (6, -1)
C. (4, 8), (4, 6), (6, 7)
D. (8, 4), (8, 2), (10, 3)
Help me learn how to solve this please
The percentage that can be filled with $3 in 1990 is: 29.41%
How to solve percentage increase problems?To calculate percentage growth rate:
Beginning:
Calculate the difference (increase) between the two numbers you are comparing. after that:
Divide the increment by the original number and multiply the result by 100. Growth rate = increment / original number * 100.
We are told that it cost $3 to fill a gas tank as at 1970.
Now, there was a percentage price increase of (78.8 - 23.1)% = 55.2% from 1970 to 1990. Thus:
Cost of a gallon in 1970 = $0.36
Thus, number of gallons bought with $3 = 3/0.36 = 8.33 gallons at full tank
Now, in 1990, the cost is $1.23 and as such:
Quantity that can be bought = 3/1.23 = 2.45 gallons
Percentage of tank filled = 2.45/8.33 * 100% = 29.41%
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The diameter of this beach ball is 12 inches.
A beach ball.
Apply the formula for the volume of a sphere to determine how much air it can hold. Use the calculator to multiply by π. Round to the nearest hundredth.
Sphere V = 4
3
πr3
How much air can the beach ball hold?
Answer:
288π or 904.78
Step-by-step explanation:
We know that the diameter of this beach ball is 12 inches and we want to determine how much air it can hold using the formula for the volume of a sphere which is \(\frac{4}{3}\) × π × r³ where 'r' is the radius. In the question we are given the diameter not the radius but we can half the diameter to find the radius so 12 ÷ 2 = 6. The radius of the beach ball is 6 inches so let's work out how much air it can hold.
Volume = \(\frac{4}{3}\) × π × r³
→ Let's substitute in the values
Volume = \(\frac{4}{3}\) × π × 6³
→ Simplify
Volume = \(\frac{4}{3}\) × π × 216
→ Simplify further
Volume = 288π or 904.78
The amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.
What is sphere?
The "set of all points in 3 dimensional space is lying the same distance from the given points or center" is called sphere.
According to the question,
Diameter of sphere shape beach ball is 12inches
Radius of sphere shape beach ball is 12/2 = 6inches
Volume of sphere = \(\frac{4}{3}\) × π × r³
= \(\frac{4}{3}\) × \(\frac{22}{7}\) × (6)³
= 904.78inches
Hence, the amount of air can the sphere shape beach ball hold is 208π or 904.78 inches.
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show work and ill credit
Answer:
4 ≥ g
Step-by-step explanation:
Since 4 x 5=20 I started there and went one less because of the .95¢
so I started with the equation 4.95 x 4 which got the product $19.80 and I know that's as high as we can go within 20.
We also know she could play less than 4 games and stay within budget so that's why I used the ≥. You could also divide 20 by 4.95 for a quick and easy answer :)
11/40 fraction into a decimal
Answer:
0.275 is the answer for this question.
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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1. Simplify the expression below.
-5(3x) + x
A. -15x
B. – 13x
C. -14x
D. –15 + x
Answer:
i think it's D or B. i hope this helps I didn't really know what to do
Student Enrollment
The enrollment at a local college has been decreasing linearly. In 2004, there where 975 students enrolled. By
2009, there were only 730 students enrolled. Determine the average rate of change of the school's enrollment
during this time period, and write a sentence explaining its meaning.
The average rate of change=
The enrollment at the college has been [Select an answer at a rate of
Select an answer v
The average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
To determine the average rate of change of the school's enrollment during the given time period, we can use the formula:
Average rate of change = (Change in enrollment) / (Change in time)
The change in enrollment is calculated by subtracting the initial enrollment from the final enrollment, while the change in time is calculated by subtracting the initial year from the final year.
Given that in 2004 there were 975 students enrolled and in 2009 there were 730 students enrolled, we can calculate the change in enrollment:
Change in enrollment = 730 - 975 = -245 students
The change in time can be calculated as:
Change in time = 2009 - 2004 = 5 years
Now we can calculate the average rate of change:
Average rate of change = (-245 students) / (5 years) = -49 students per year
Therefore, the average rate of change of the school's enrollment during this time period is -49 students per year. This means that on average, the enrollment at the college has been decreasing by 49 students per year.
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whats the property of 8 × 1 and 8 HELP HELP HELP I HAVE TWO MINS
Answer:
Multiplicative inverse property.
Step-by-step explanation:
We have been given an equation.
HOPE THIS HELPS!!!
Pls help me for 20 points
Answer: first one a+3
next one 3(a+3)
next one (a+3)-3
next one a*3
part b
D divided by 4
D-4
4 divide by D
4-D
Step-by-step explanation:
Lilia scores 15 points fewer than Bob, who scores 35 points. Carol scores half as many points as Lilia. How many points does Carol score? Write an expression and evaluate it.
Lilia scores 20 points, Carol scores 10 points.
And the expressions used to find these points:
x = y - 15
z = (1/2)x
where, x, y , z are the points scored by Lilia, Bob and Carol respectively.
Let Lilia scores 'x' points, Bob scores 'y' points and Carol scores 'z' scores.
Bob scores 35 points.
So, we get an expression y = 35
Lilia scores 15 points fewer than Bob
So, we get an expression,
x = y - 15
But y = 35
So, x = 35 - 15
x = 20
Carol scores half as many points as Lilia.
So, we get an expression,
z = (1/2)x
substitute above value of x.
z = 1/2 * (20)
z = 10 points
Therefore, Lilia scores 20 points, Carol scores 10 points.
And the expressions used to find these points:
x = y - 15
z = (1/2)x
where, x, y , z are the points scored by Lilia, Bob and Carol respectively.
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An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) between the volume of the cone, including the shell, and the volume of the ice cream you can fit inside the shell
Answer:
\(0.79 in^3\)
Step-by-step explanation:
Given data for the cone
height h= 4 in
radius r= 1 in
hence diameter d= 2 in
thickness of cone= 0.1 in
The volume of the cone including the shell can be expressed as
\(volume=\frac{1}{3} \pi r^2h\)
\(volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3\)
The volume of the ice cream can be expressed as
N/B: the diameter of the ice cream is
2-(0.1*2)= 2-0.2= 1.8 in
hence the radius is 0.9 in
\(volume= \frac{1}{3}*3.142*0.9^2*4\\\ volume= \frac{10.18}{3} \\\ volume= 3.39 in^3\)
The difference in volume is \(4.189-3.39= 0.79 in^3\)
Given a sphere with a diameter of 6.2cm, find its volume to the nearest whole
Answer:
the answer is 12
Step-by-step explanation:
d=2r=2*6.2=12.4
Is 4/17 a rational number?
Answer:
yes
Step-by-step explanation:
hey can both be expressed as the quotient of two integers
A farmer knows that every 50 eggs his chickens lay, only 45 will be marketable. If his
chickens lay 1000 eggs in a week, how many of them will be marketable?
Answer:
900 eggs
Step-by-step explanation:
45/50 are marketable
divide the top and bottom by 5
9/10
Multiply this fraction by the 1000 eggs laid
9/10 *1000
900 eggs will be marketable
Answer:
900
Step-by-step explanation:
rewrite the equation in vertex form by completing the square.
f(x) = (3x-9)(x+1)
The vertex form of the quadratic equation is:
f(x) = 3*(x - 1)² + 12
How to rewrite the quadratic equation?Remember that for a quadratic equation whose vertex is at (h, k) and the leading coefficient is a, we can write it in the vertex form as:
y = a*(x - h)² + k
Here we have:
f(x) = (3x-9)(x+1)
We can rewrite that as:
f(x) = (3x - 3*3)(x+1)
f(x) = 3(x - 3)*(x + 1)
Thus the leading coefficient is 3.
The x-value of the vertex is the midpoint the two x-intercepts x = 3 and x = -1, then:
h = (3 - 1)/2
h = 2/2
h = 1
And to get the y-value, we need to evaluate in x = 1.
f(2) = 3*(1 - 3)*(1 + 1)
f(2) = 3*-2*2 = -12
So the vertex is (1, 12), then the vertex form is:
f(x) = 3*(x - 1)² + 12
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can you please help me I give you extra points
Answer:
( -6 , 4 ) , ( -5 , 6 ) , (-3 , 6 ) , (-1 , 4 )
Please help ASAP math question
The compound amount after 3 years is $2275.22.
In this case, you are given:
Principle = $2,000
rate = 0.0353
time = 3
You need to find A, the compound amount after 3 years.
To do this, you need to plug in the values of P, r and t into the formula and use a calculator:
A=P×e^rt
A=2000×(e)^0.0353×3
A≈2275.22
Therefore, by the compound interest the answer will be $2275.22.
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Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
find the x and y intercepts of the equation 7x-2y = -42
Answer:
To find the x-intercept, substitute in 00 for yy and solve for x. To find the y-intercept, substitute in 00 for x and solve for y.
x-intercept(s): (−6,0)(-6,0)
y-intercept(s): (0,21)
Answer:
x-intercept(s): (-6,0)
y-intercept(s): (0,21)
Step-by-step explanation:
This is the answer because:
1) To find the x-intercept, substitute in 0 for y and solve for x :
7x - 2(0) = -42
7x = -42
x = -6
2) To find the y-intercept, substitute in 0 for x and solve for y:
7(0) - 2y = -42
-2y = -42
-2(21) = -42
Therefore, the answer is:
x-intercept(s): (-6,0)
y-intercept(s): (0,21)
Hope this helps! :D