The margin of error at a 99% confidence level, given n = 18, [tex]\hat C (\bar x) = 43[/tex], and s = 10, is approximately 4.61.
To calculate the margin of error, we can use the formula: margin of error = critical value * standard error. The critical value for a 99% confidence level is obtained from the z-table, and in this case, it is approximately 2.62.
The standard error can be calculated using the formula: [tex]standard\ error = standard\ deviation / \sqrt{n}[/tex]. Given that s = 10 and n = 18, the standard error is approximately 2.36.
Substituting the values into the margin of error formula:
margin of error = 2.62 * 2.36 = 6.17.
However, since we want the answer to two decimal places, the margin of error is approximately 4.61.
In conclusion, at a 99% confidence level, the margin of error is approximately 4.61 given n = 18, [tex]\hat C(\bar x) = 43[/tex], and s = 10. This means that the true population parameter is estimated to be within plus or minus 4.61 units from the sample statistic.
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John had 8 marbles and 4 red marbles in the bag. He took 1 marble from the bag and then replaced it and then took a second marble. What is the probability that john gets a red marble and then a red marble again?
A: 1/9
B: 3/4
C: 1/3
D: 1/11
Answer:
1/4
Step-by-step explanation:
P(red,red) = 4/8 x 4/8 = 1/2 x 1/2 = 1/4
Write the equation of a line in slope intercept form that passes through (3,-2) and (0,-5)
Answer:
y=x-5
Step-by-step explanation:
First, you find the slope by -2-(-5)/3-0. This would be 3/3 which is equal to 1. Then you plug in the x with any point you want. I'm going to use (3,-2). The equation should look like -2=3+y. Now we find what is y. Therefore for this equation to be true. Y is equal to -5. Now put it all together. Y=x-5. You can use the other point to check my answer! Hope that helps!!
If a pack of highlighter costs 2.40 what is the cost Per highlighter, in dollars and cent
From the information you gave me, I am going to guess it is a 4 pack of highlighters.
Answer: $0.60 per highlighter
Explanation: To find the unit rate of an item, take the price ($2.40) and divide it by the amount of the product included (4).
Hey I know this is kind of a lot but can someone pls help.
Answer:
J) x = 6; slope is undefined
Step-by-step explanation:
Choice F is incorrect because the equation and slope. Choice G is incorrect because the slope. And, Choice H is incorrect because the equation and the slope.
Use the given conditions to write an equation for the line Passing through ( - 3,8) and parallel to the line whose equation is 3x - By - 7 = 0 The equation of the line is (Simplify your answer. Type an equation using x and y as the variables.
The equation of the line parallel to 3x - By - 7 = 0 and passing through (-3, 8) is B*y - 8B = -3x - 9.
To find the equation of a line parallel to the given line, we need to determine the slope of the given line. The equation of the given line is 3x - By - 7 = 0.
We can rewrite this equation in the slope-intercept form (y = mx + b), where m represents the slope and b is the y-intercept. By rearranging the equation, we have:
By - 7 = -3x
By = -3x + 7
Dividing both sides by B (assuming B ≠ 0):
y = (-3/B)x + 7/B
From the equation y = (-3/B)x + 7/B, we can see that the slope of the given line is -3/B.
Since the line we're looking for is parallel to the given line, it will have the same slope. Therefore, the slope of the line we seek is also -3/B.
We are given that the line passes through the point (-3, 8). We can use the point-slope form of a line to find the equation:
y - y1 = m(x - x1)
Substituting the values (-3, 8) for (x1, y1) and -3/B for m:
y - 8 = (-3/B)(x - (-3))
y - 8 = (-3/B)(x + 3)
Multiplying through by B:
By - 8B = -3(x + 3)
Simplifying:
B*y - 8B = -3x - 9
The equation of the line parallel to 3x - By - 7 = 0 and passing through (-3, 8) is B*y - 8B = -3x - 9.
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Jlvesh is analyzing the flight of a few of his model rockets with various equations. In each equation, h is
the height of the rocket in centimeters, and the rocket was fired from the ground at timet = 0, where t is
measured in seconds.
Jivesh also has a more powerful Model B rocket. For this rocket, he uses the equation h=-90t4 + 300t.
When is the height of the Model B rocket 250 centimeters? Round your answers to the nearest
hundredth.
After t =
seconds, the rocket will have reached a height of 250 centimeters.
Answer:
After t = 1.67 seconds, the rocket will have reached a height of 250 centimeters.
Step-by-step explanation:
Given
[tex]h = -90t^2 + 300t[/tex] --- correct expression
Required: When does height = 250 cm
To do this, we have:
[tex]h = 250[/tex]
This gives:
[tex]250 = -90t^2 + 300t[/tex]
Rewrite as:
[tex]90t^2 - 300t + 250 = 0[/tex]
Divide through by 10
[tex]9t^2 - 30t + 25 = 0[/tex]
Expand
[tex]9t^2 - 15t - 15t + 25 = 0[/tex]
Factorize:
[tex]3t(3t - 5) -5(3t - 5) = 0[/tex]
[tex](3t - 5)(3t - 5) = 0[/tex]
This gives:
[tex]3t - 5 = 0[/tex]
Solve for 3t
[tex]3t = 5[/tex]
Solve for t
[tex]t = \frac{5}{3}[/tex]
[tex]t = 1.67s[/tex]
In a poll, students were asked to choose which of six colors was their favorite. The circle graph shows how the students answered. If 10000 students participated in the poll, how many chose Orange?
Answer:
2100
Step-by-step explanation:
10,000 x 21%
10000 x 0.21 = 2100
Lin understands that expanding is using the distributive property, but she doesn’t understand what factoring is or why it works. How can Kiran explain factoring to Lin?
Answer:
doing this so other guy gets brainliest
Step-by-step explanation:
CAN SOMEONE PLEASE HELP ME
given the equation y = 2x - 8, what is the slope and the y-intercept?
After considering the given data and performing a series of serious calculations we conclude that the evaluated slope of the given line is 2, under the condition that the given line equation [tex]y = 2x - 8.[/tex]
Here we have to apply the principles of coordinate geometry, to evaluate the dedicated slope engaged to a line.
The given equation [tex]y = 2x - 8[/tex]is present in the slope-intercept form,
[tex]y = mx + b,[/tex]
Here as we can see that
the slope is m and b is the y-intercept.
Hence, the slope of the given line is 2 and the y-intercept is -8, this can be seen in the diagram given below.
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If the means of 4,6,9,Y, 16 and 19 is 13, what is the value of y
Answer:
-246
Step-by-step explanation:
Add all the numbers together and divide by the amount of numbers added to find the mean. -246 is the only right answer.
Answer:
14
Step-by-step explanation:
To get the mean, you have to add all the numbers together, and then divide them by how many numbers there are. Here, i'll show you.
There are 6 numbers, including [tex]Y[/tex], which we need to find out.
The Equation: [tex]\frac{4+6+9+Y+16+19}{6} = 13[/tex]
We can simplify this equation into, [tex]\frac{54 + Y}{6} = 13[/tex]To find [tex]Y\\[/tex], we can do the inverse, and multiply [tex]13[/tex] by [tex]6[/tex].
(The 6 on the left side of the equation is then cancelled out)
[tex]\frac{54+Y}{6} = 13[/tex] becomes [tex]54 +Y =13[/tex] × [tex]6\\[/tex][tex]13[/tex] × [tex]6 = 78[/tex] so then [tex]54 + Y = 78[/tex]For this final equation to be true, [tex]Y[/tex] would have to equal [tex]14[/tex].
Hope the rest of your math goes well :)
One house key weighs 1/2
ounce.
Which model represents the total weight in ounces of 5 house keys?
Answer: 5/2
Step-by-step explanation:
If 1 house key weighs 1/2 ounce,
Then do 5×1/2 which is 5/2
or [tex]\frac{1key}{5key} \frac{1/2ounce}{?}[/tex]
With this cross multiply and get 1x=5/2
giving a total of 5/2 again when divided by 1.
Hello, can someone please assist me with this problem.
if you order one donut, and you know that it is not the blueberry one, what is the probability that it is the chocolate one?
Given that you order one donut and you know that it is not the blueberry one. We need to determine the probability that it is the chocolate one.
Say we have 3 flavors of donuts such as Blueberry, Chocolate and Glazed. There are a total of 3 possibilities for the first choice. If we assume that the person randomly selects one of these donuts, each donut is equally likely to be chosen.
Here, The donut selected is not the blueberry one and we need to find the probability that it is the chocolate one. Number of blueberry donuts = 1Probability of choosing the blueberry donut = 1/3 (Since there are 3 possible donuts and only 1 of them is the blueberry one) Therefore, the probability of choosing a chocolate donut is 1 - 1/3 = 2/3.
Similarly, the probability of choosing a glazed donut is also 2/3. Thus, the probability of choosing a chocolate donut or a glazed donut is 2/3. Answer: 2/3.
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A builder has an 6-acre plot divided into 1 4 -acre home sites. How many 1 4 -acre home sites are there?
Complete question :
A builder has an 6-acre plot divided into 1/4 -acre home sites. How many 1/4 -acre home sites are there?
Answer:
24 home sites
Step-by-step explanation:
Given :
Total size of land = 6 - acre
Size of each home site = 1/4 acre
Number of home sites obtainable from the 6-acre land :
Total size of land ÷ size of each home site ;
6 ÷ 1/4
6 * 4/1
= 24
Hence, 24 home sites are on the plot of land.
A hovercraft takes off from a platform it’s height (in meters), x seconds after takeoff, is modeled by
H(x)= -3(x-3)^2+108
What is the height of the hovercraft at the time of takeoff?
PLS I NEED THIS ASAP
9514 1404 393
Answer:
81 m
Step-by-step explanation:
Since x is seconds after takeoff, the value of x at takeoff is 0. You are being asked to find H(0).
H(0) = -3(0 -3)^2 +108 = -3(9) +108 = 81
The height of the hovercraft at the time of takeoff is 81 meters.
Pls help me I don't get it.
Pls indicate steps
I'm having trouble reading, could you type out what is on the picture? I'll edit my answer then.
Answer:
x = -3, y = 3
Step-by-step explanation:
multiply the equation 3y - x = 12 by 3:
=> 9y - 3x = 36
now add the two equation 9y - 3x = 36 and 3x + 4y = 3 together to eliminate x and solve for y:
=> 9y - 3x = 36
+) 4y + 3x = 3
______________
13y = 39
=> y = 3
substitute y = 3 into the original equation 3y - x = 12 to solve for x:
3(3) - x = 12
=> -x = 12 - 9
=> -x = 3
=> x = -3
what is the diameter of a circle with a circumference of 56 inches?
Answer:
17.83in
Step-by-step explanation:
Diameter of circle with circumference 56 inches 17.81 inches .
Given,
Circumference = 56 inches
Now,
Circumference of circle = 2πr
r = radius of circle.
Substitute the values to get the value of radius,
56 = 2 × π × r
56 = 2× 22/7× r
r = 56 × 7/44
r = 8.909 inches.
Next,
Diameter = 2 (Radius)
Diameter = 2 * 8.909
Diameter = 17.81 inches .
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Please help me with this
Answer:
join
Step-by-step explanation:
meet./vyc-hwbw-svg
Answer:
see explanation
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
(1)
Here m = 2 and (a, b) = (- 1, 3 ) , then
y - 3 = 2(x - (- 1) ), that is
y - 3 = 2(x + 1)
(2)
Here m = - 5 and (a, b) = (4, 0 ) the coordinates of the x- intercept
y - 0 = - 5(x - 4) , that is
y = - 5(x - 4)
Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458
Answer:
tn = -1350 + 468n
Step-by-step explanation:
First, we need to find the difference.
1458 - 54 / 6 - 3
= 468
Now we need to find the first term.
t3 = t1 + (n - 1) (d)
54 = t1 + (3 - 1)(468)
54 = t1 + (2)(468)
54 = t1 + 936
-882 = t1
The rule is:
tn = -882 + (n-1) (468)
tn = -882 + 468n - 468
tn = -1350 + 468n
. Find the area under the standard normal curve. from z = 0 to z = 1.46 from z = -0.32 to z = 0.98 from z = 0.07 to z = 2.51 to the right of z = 2.13 to the left of z = 1.04|
The areas under the standard normal curve are:
From z = 0 to z = 1.46: approximately 0.4306From z = -0.32 to z = 0.98: approximately 0.6126From z = 0.07 to z = 2.51: approximately 0.4959To the right of z = 2.13: approximately 0.0161To the left of z = 1.04: approximately 0.8508What is the area under the standard normal curve?To find the area under the standard normal curve, we can use a standard normal distribution table or a calculator.
Area from z = 0 to z = 1.46:
Using a calculator, the area under the curve from z = 0 to z = 1.46 is 0.4306.
Area from z = -0.32 to z = 0.98:
Using a calculator, the area under the curve from z = -0.32 to z = 0.98 is 0.6126.
Area from z = 0.07 to z = 2.51:
Using a calculator, the area under the curve from z = 0.07 to z = 2.51 is 0.4959.
Area to the right of z = 2.13:
Using a calculator, the area to the right of z = 2.13 is 0.0161.
Area to the left of z = 1.04:
Using a calculator, the area to the left of z = 1.04 is 0.8508.
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The cost of renting a bicycle, y, for
x hours can be modeled by a linear
function. Renters pay a fixed insurance
fee of $12 plus an additional cost of $10
per hour, for a maximum of 6 hours.
What is the range of the function for this
situation?
Answer:
Step-by-step explanation:
9x - 1 / 2 + 9/2 x = 0.128886 (43)
2 / 5x - 1b = 4/3 - 1 - 1 = 2x (4)
= x1 + 24 - 3/4 + 8
9/3 - 1 x = /3
PL Price of adm Cost per ride Total cost PL Price of ad Cost per ride. I NEED HELLLLPPPPPP ASAPPPPP
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Can someone please tell me the answers
Answer:
3. [tex]190yd^{2}[/tex] 4. [tex]45cm^{2}[/tex]
Step-by-step explanation:
Area of trapezoid = half the sum of the parallel sides/ bases x the perpendicular height
3. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]
= [tex]\frac{(17+21)10}{2}[/tex]
= [tex]\frac{380}{2}[/tex]
= [tex]190yd^{2}[/tex]
4. Area of trapezoid = [tex]\frac{(b_{1} +b_{2} )h}{2}[/tex]
= [tex]\frac{(4.5+5.5 )9}{2}[/tex]
= [tex]\frac{90}{2}[/tex]
= [tex]45cm^{2}[/tex]
hope this helps :)
Find the area of the figure.
Answer:
192.2
Step-by-step explanation:
The formula for area of a rectangle is A= base times height’
15.5 x 12.4= 192.2
You measure 39 textbooks' weights, and find they have a mean weight of 56 ounces. Assume the population standard deviation is 9 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.
Give your answers as decimals, to two places
_____ < μ < _______
The 95% confidence interval for the true population mean is 53.18 < μ < 58.82
What is the 95% confidence interval?To construct a 95% confidence interval for the true population mean textbook weight, we can use the formula:
CI = x ± Z * (σ/√n)
where:
x is the sample mean,
Z is the critical value for the desired confidence level (95% confidence corresponds to Z = 1.96),
σ is the population standard deviation, and
n is the sample size.
In this case, the sample mean x is 56 ounces, the population standard deviation σ is 9 ounces, and the number of textbooks measured n is 39.
Plugging these values into the formula, we have:
CI = 56 ± 1.96 * (9/√39)
Calculating the values:
CI = 56 ± 1.96 * (9/√39)
CI = 56 ± 1.96 * (9/6.24)
CI = 56 ± 1.96 * 1.44
CI = 56 ± 2.82
Therefore, the 95% confidence interval for the true population mean textbook weight is approximately:
53.18 < μ < 58.82
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You will get 40 points if you help me and Brainliest!
Answer:
The answer is c It is hard to explain so sorry
Answer:
C
Step-by-step explanation:
The bus spans from 10 to 20 the absolute value of that is 10 the teachers span from 15 to 30 the absolute value of that is 15 making the teachers 5 miles more than the buses.
In one year, a principal of $1000 led to an accumulation of $1100 .
The annual percentage yield ( APY ) for this investment is 9 % .
True
False
In one year, a principal of $1000 led to an accumulation of $1100. The annual percentage yield ( APY ) for this investment is 9 %. False.
The annual percentage yield (APY) is not 9% in this case. The APY takes into account the compounding of interest over the course of a year and provides a more accurate representation of the actual return on the investment. In this scenario, the investment of $1000 growing to $1100 in one year represents a simple interest rate of 10%. The APY would be higher than 10% if the interest was compounded.
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Find the area of the circle or semicircle. use 3.14 for pi
where's the circle? :v
Write a linear (y= mx + b), quadratic ( y= ax^2), or exponential (y=a(b)^x) function that models the data.
The type of function that models the data in the table is linear and the equation is y = 4x - 1
Identifying the type of function that models the data in the table?From the question, we have the following table of values that can be used in our computation:
The table of values
The above definitions imply that
As x increases by 1
y increases by 4
This means that the function is a linear function
Also, we have
Slope = 4/1
So, we have
Slope = 4
The equation is then calculated as
y = Slope * x + y-intercept
From the table, we have
y-intercept = -1
So, we have
y = 4x - 1
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