The margin of error of the random selection is 0.29
The given parameters are:
[tex]n = 320[/tex] --- the sample size
[tex]\sigma = 2.9[/tex] --- the standard deviation
[tex]\bar x = 24[/tex] --- the mean
[tex]\alpha = 90\%[/tex] --- the confidence level.
The margin of error (E) is calculated as follows:
[tex]E = z \times \sqrt{\frac{\sigma^2}{n}}[/tex]
So, we have:
[tex]E = z \times \sqrt{\frac{3.2^2}{320}}[/tex]
[tex]E = z \times \sqrt{\frac{10.24}{320}}[/tex]
The z-value for 90% confidence level is 1.645.
Substitute 1.645 for z
[tex]E = 1.645 \times \sqrt{\frac{10.24}{320}}[/tex]
[tex]E = 1.645 \times \sqrt{0.032}[/tex]
Take square roots
[tex]E = 1.645 \times 0.1789[/tex]
Multiply
[tex]E = 0.2943[/tex]
Approximate
[tex]E = 0.29[/tex]
Hence, the margin of error is 0.29
Read more about margin of error at:
https://brainly.com/question/14396648
-x - 11 and the opposite of -11
Answer:
The opposite of -11 is 11, and I dont understand what else you're asking
Step-by-step explanation:
Help please !!!!!!!!!!
Answer:
35.5225685536425675555
Answer:
67 and 82
Step-by-step explanation:
The values of Y are increasing by 15 everytime, so to find the fourth value we do 52+15 which equals to 67 and then to find the fifth value we do 67+15 which equals to 82. Hope this helps.
May I please receive help?
[tex]h = 2 \sqrt{2} [/tex]
[tex]c = \frac{8}{ \sqrt{3} } = \frac{8 \sqrt{3} }{3} \\ [/tex]
A town of population 25,000 grows at a constant rate of 1500 people every year. Find the population after 5 years
40,000
32,500
35,000
32,000
Please help fast!!!!
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex](Side-Angle-Side)
Need help ASP!!! Math-help
Plzz help meeee plzzzz help
Answer: A. 20%
Step-by-step explanation:
First, to find the total number of teachers, we can add 25+32+18+5+20=100
Next, we divide the number of teachers in 2014 (20) by the total number of teachers (100) as follows:
20 ÷ 100 = 0.2
Finally, to make 0.2 a percentage, we can multiply 0.2 X 100 = 20
Therefore, the correct answer is A.
How many text messages have you sent today?
Answer: A lot
Step-by-step explanation: I can't count how many
Annie is planning a business meeting for her company she a budget of $1,325 for meeting room at a hotel she expects 26 people to attend the meet cost of rental meet room $270 which is inequality shows to find the amount x Annie can spend on lunch for each person
Answer:
[tex]1,325\geq 26x+270[/tex]
Step-by-step explanation:
4x−1<11 answer my question
Answer:
Step-by-step explanation:
Write and solve a system of THREE inequalities that models the situation below.
Terrence is going to make and sell cupcakes and giant cookies as a fundraiser to earn money for his bank uniform. He sells the cupcakes for $1.25 each and the cookies for $0.75. He knows he will sell at least 10 cupcakes and 24 cookies. He wants to make at least $50. Find a possible combination of cupcakes and cookies he needs to sell to meet his goal.
Answer:
x = cupcakes
y = cookies
3x + 1y ≥ 205
x cupcakes at $3 each plus y cookies at $1 each is greater than or equal to $205
Step-by-step explanation:
Which equation could have been used to create this table?
y = 3x
y = x + 3
y = x + 2
y = 4x
Answer:
y = 3x
Step-by-step explanation:
Write an equation in slope-intercept form of the line that passes through the points (2, 4) and (3.6).
Answer:
Step-by-step explanation:
slope-intercept form is y=mx+b
m = slope = change in y/change in x
change in y/change in x = 2/1
m = 2
b = y intercept = y value when x = 0
using the slope, go left 2 units and down 4
when x = 0, y = 0
b = 0
y = mx+b when m = 2 and b = 0
y = 2x+0
y = 2x
evaluate the expression when x= 2and y= -3 x+y
Answer:
- 1
Step-by-step explanation:
x + y ← substitute x = 2 and y = - 3 into the expression
2 + (- 3)
= 2 - 3
= - 1
Write equation of the line containing (-3,4) and (-1,-2)
Answer:
y=-3x+1
Step-by-step explanation:
Answer:
It will be the last one.
Step-by-step explanation:
factor 6 out of [tex]6x^2[/tex] - 18
Answer:
See below
Step-by-step explanation:
6x² - 18 = 6*x² - 6*3 = 6(x² - 3)[tex]\\ \sf{:}\Rrightarrow 6x^2-18[/tex]
Take 6 common in order to factor out6x^2=6(x^2)18=6(3)[tex]\\ \sf{:}\Rrightarrow 6(x^2-3)[/tex]
solve the equation using elimination
Answer:
1 1/3
Step-by-step explanation:
you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7
We can describe 3x - 2 as an expression.
How can we describe the parts of the expression that the arrows point to?
3x- 2
Given:
3x - 2
To find:
Describe the parts of the expression
Solution:
3x - 2Let us consider, f (x) = 3x - 2
The standard equation of the straight line is given by, y = mx + c
comparing the given equation with straight line equation, we get,
f (x) = y
m = 3
c = -2
m is the gradient of line
c is the y intercept (the graph crosses the y - axis)
How do u solve this
Hey! i need some help with a math question if anyone doesn't mind helping-
35 = 4x + 7
yes, this is a very simple equation but i have the brain of a 5th grader lol.
solve question 5 all steps
Answer:
Answer in the pic with steps
Hope it helps
20 ÷ ____ = 5 need your help
Answer:
4
Step-by-step explanation:
California Cafe has a maximum capacity of
45 customers. If there are currently 27
customers in the cafe, how many more
customers can they seat?
If a - 5b - 3 = 8, then the straight line ax + by + c = 0 must pass through the point
I) (1, 5)
II) (1, -5)
III) (5, -1)
IV) (-1, 5)
Please show your work...No spam.. Thank you.
Answer:
III) (5, -1)Step-by-step explanation:
Given relationship between the constants of the line ax + by +c = 0:
a - 5b - 3c = 8We can try options, the obvious one is:
a = 0, b = - 1, c = - 1In this case the line becomes:
0x - y - 1 = 0y = - 1This gives us the point (5, - 1), the option III
You are to paint the globe held aloft by a statue of Atlas. The diameter of the globe is 10.5 in. How much surface area must you cover with paint if 27 square inches does not need to be painted (to the nearest hundredth)?
Answer:
Step-by-step explanation:
We have been given that we need to paint the globe held aloft by a statue of Atlas. Its diameter is 10.5 in.
First of all we will find the area of globe using area of sphere formula.
, where r represents the radius of sphere.
Since diameter is 2 times the radius, so the radius of our given globe will be:
Since 27 square inches does not need to be painted, so the area we must cover with paint will be:
Upon rounding our answer to nearest hundredth we will get,
Therefore, we must cover 319.36 square inches with paint.
How can you best describe the outside of one of these objects using polygons? The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.
The classification of a polygon is described on the basis of the number of sides and vertices of these objects using polygons. It appears to be because the sides and angles appear to be congruent.
The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.
We have to describe,The outside of one of these objects uses polygons, The object has sides, so it is. It appears to be because the sides and angles appear to be congruent.
According to the question,A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides. However, a polygon is considered regular when each of its sides measures equal in length.
A minimum of three line segments is needed to draw any closed figure. The corners or points where two line segments meet each other are known as the vertex of a polygon.
The classification of a polygon is described on the basis of its number of sides and vertices.
For example, a polygon of three sides and three angles is known as a triangle whereas a polygon of four sides and four angles is known as a quadrilateral.
A polygon shape is any geometric shape that is classified by its number of sides and is enclosed by a number of straight sides.
However, a polygon is considered regular when each of its sides measures equal in length.
The lengths of each side of a regular hexagon are equal.
The angles of each side of a regular hexagon are equal.
Hence, The object has 6 sides, so it is. It appears hexagon because the sides and angles appear to be congruent.
For more details about Polygon refer to the link given below.
https://brainly.com/question/2416235
Answer:
6, hexagon, and regular
Step-by-step explanation:
The object has 6 sides, so it is a hexagon
It appears to be regular because the sides and angles appear to be congruent.
: If 10 less than 5 times a number is two more than 3 times the number, then the number is
Answer:
x = 1Step-by-step explanation:
If 10 less than 5 times a number is two more than 3 times the number, then the number is
10 - 5x = 2 + 3x
10 - 2 - 5x - 3x = 0
8 - 8x = 0
x = 1
---------------
check
10 - 5 * 1 = 2 + 3 * 1
5 = 5
the answer is good
I need help with the multiple choice
Answer:
d
Step-by-step explanation:
they intersect but aren't perpendicular.
value of complex number i^7+1/i^4
[tex]i^7 + \dfrac 1{i^4}\\\\=i^2 \cdot i^2 \cdot i^2 \cdot i + \dfrac 1{i^2 \cdot i^2}\\\\=(-1)(-1)(-1)i + \dfrac 1{(-1)(-1)} ~~~;[ i^2 = -1] \\\\\ = (-1)^3 i+ \dfrac 1{(-1)^2} \\\\=-i+1[/tex]
