Answer:
a) The margin of error is 0.3643 years.
b) The margin of error is 0.6514 years.
c) INCREASES
Step-by-step explanation:
(a) Find the margin of error for an 85% confidence interval to estimate the mean time a general manager had spent with their current company:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.44\frac{4}{\sqrt{250}} = 0.3643[/tex]
The margin of error is 0.3643 years.
(b) Find the margin of error for a 99% confidence interval to estimate the mean time a general manager had spent with their current company:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575
[tex]M = 2.575\frac{4}{\sqrt{250}} = 0.6514[/tex]
The margin of error is 0.6514 years.
(c) In general, increasing the confidence level the margin of error (width) of the confidence interval.
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Increase of confidence level -> Increases z -> Increases margin of error.
So Increases is the answer.
Is y=-3x+6 linear or nonlinear
Answer:
373737373737373383847484
This equation is in the form y = mx + b and when a function
is written in this form, we know that it's a linear function.
Another way to tell that it's a linear function is
that the variable is raised to the first power.
1.125 inches of rain fell in 2.5 hours. How many inches of rain fell per hour?
Answer:
0.45 in per hour
Step-by-step explanation:
1.125/2.5 = 0.45 in per hour
Step-by-step explanation:
i think u divide 1.125 by 2.5 so it gives 0.45
Hi can anyone help me? :)
Answer:
[tex]d(n) = - ( {7}^{n - 1} )[/tex]
Which image shows a reflection of the figure below? quick!!!!
Answer:
a
Step-by-step explanation:
Please help meeeeeeeeeee
Answer:
A
Hope this helps
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
Following y=mx+c
Gradient=-1/2
Y-intercept=-2
y=-1/2x-2
please help me with this question.
Answer:
you have to figure out the cordnests
Step-by-step explanation:
make a graph on f(x)=−3/2(x+1)(x−5)
Answer:
explanation below
Step-by-step explanation:
f(x) = −3/2(x+1)(x−5) = -3/2 (x²-4x-5) = -3/2 (x²-4x+4-9) = -3/2 ((x-2)² - 9)
f(x) = -3/2 (x-2)² + (-3/2)*(-9) = -3/2 (x-2)² + 13.5
There are points to be referenced for the graph:
vertex (2 , 13.5) axis of symmetry: x = 2
roots: (-1 , 0) (5 , 0)
-3/2 : curve downward
Use the circle below to find the following measures.
Arc QT = and
Answer:
m(arc QT) = 142°
m(arc STR) = 314°
Step-by-step explanation:
"Measure of intercepted arc is double of the inscribed angle"
From the picture attached,
Measure of inscribed angle QST = 71°
Therefore, measure of arc QT = 2 × Measure of angle QST
= 2(71°)
= 142°
Since, m(arc SR) + m(arc STR) = 360°
46° + m(arc STR) = 360°
m(arc STR) = 360° - 46°
= 314°
Please help me with this question please help me I beg you
Step-by-step explanation:
Given
f(x) = 5 / 2x - 1
f^-1( x) = ?
Let
y = f(x)
y = 5/2x - 1
Interchanging the roles of x and y we get
x = 5/2y - 1
2y - 1 = 5/x
2y = 5/x - 1
y = (5/x - 1)/ 2
f^-1(x) = ( 5/x - 1) / 2
Hope it will help :)
Area of rectangle with length of 4/9 foot and width of 2 foot?
Answer:
A = 8/9
Step-by-step explanation:
Area of Rectangle = Length (Width)
A = lw
A = (4/9) (2)
A = (4/9) (2/1)
A = 8/9
Help! Please please please
Step-by-step explanation:
3x+2x=180
5x=180
x=36°
Which of the following points is on the y-axis? Select all that apply.
Group of answer choices
(-1, 4)
(0, 2)
(5, 0)
(4, -1)
(0, -8)
(-9, 0)
Answer: (0,2) and (0, -8)
Step-by-step explanation:
james puts 5,000 in a savings account earning simple interest at 5.2% annually. how much interest will he earn after 5 years? how much money will he have after 5 years?
Answer:
250
Step-by-step explanation:
Enter the value for the variable x in the equation:
X - 7 = 3
Answer:
x=10
Step-by-step explanation:
10-7=3
Answer:
I think is 10 cause 10 - 7 = 3
-2+{3+[4+2-(-3)]-5+8)}
Answer:
13
Step-by-step explanation:
−2+3+4+2−(−3)−5+8
=1+4+2−(−3)−5+8
=1+6−(−3)−5+8
=1+9−5+8
=10−5+8
=5+8
=13
The counting numbers are also called ______ integers
Answer:
A "Positive Integer"
Step-by-step explanation:
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Graph [tex]D_{0.5}[/tex] (ΔXYZ)
Answer:
Given triangle:
ΔXYZX(-1,2), Y(2,1), Z(-1, -2)D₀.₅(ΔXYZ) results in:
(x, y) → (0.5x, 0.5y)X'(-0.5, 1), Y'(1, 0.5), Z(-0.5, -1)PYTHAGOREAN THEORM PLEASE HELP ME
Would the three squares below join together to make a right triangle? Why or why not? picture shows squares
Answer:
Yes.
The first has an area of 9, so each side is three.
The second has an area of 16, so each side is four.
Each side of the third square is given as 5.
So the triangle has sides of 3, 4, and 5.
3²+4²=5²
9+16=25
25=25 It works given the Pythagorean theorem.
Step-by-step explanation:
Yes.
The first has an area of 9, so each side is three.
The second has an area of 16, so each side is four.
Each side of the third square is given as 5.
So the triangle has sides of 3, 4, and 5.
3²+4²=5²
9+16=25
25=25 It works given the Pythagorean theorem.
write an expression to show how much longer the round trip to Las Vegas id than the round trip to cheyenne... Cheyenne round trip is 202 and Las Vegas round trip is 1498
Answer:
GPS is access
Step-by-step explanation:
Find the first 3 terms of arithmetic sequence if t5=-154 and t9=-274. find t1, t2, t3
Answer: t1 = -34; t2 = -64; t3 = -94
d is the distance between numbers (d > 0)
we have:
t5 = t1 + 4d = -154
t9 = t1 + 8d = -274
we have the equations:
t1 + 4d = -154
t1 + 8d = -274
<=> t1 = -34
d = -30
with t1 = -34 and = -30 => t2 = -34 - 30 = -64
t3 = -64 - 30 = -94
Step-by-step explanation:
can anyone solve this for me?d/dx x/root (1+x^2)
ps. the 1+x^2 part is inside the root
using quotient formula
Super Cars Rental Company charges $40 per day and $1.80 per mile to rent a car. ABC Rental Company charges $25 a day and $3 per mile. At how many miles is the cost the same for both companies?
Answer:
Step-by-step explanation:
3 times 2 2/5. please help
Answer:
7.2, which equals to 7 1/2
Step-by-step explanation:
Answer:
7 2/10
Step-by-step explanation:
look at the pic for the steps
can you relate this lesson to your real-life situation
Answer:
This is nothing related to real life. The only thing is it helps with trigometry, programming shapes, and so on
Step-by-step explanation:
Please help need quickly
The answer for number 1 is 1.72. The answer for number 2 is 4.83.
So for number one, the first thing you need to do is determine how many sides are on the first shape. Since it is a pentagon, and one pentagon has 5 sides, then you use the following formula to determine the volume of a[tex]V = \frac {1}{4} \times \sqrt{5 \times (5 +2 \times \sqrt {5})} \times (10)^{2} \times 10[/tex] pentagon: [tex]\alpha = \frac{1}{4} \times \sqrt[]{5(5+2 \sqrt[]{5}) \alpha ^{2} }[/tex] And in this case, the area would be 1.72, because if you insert the side lengths, the equation would look like this: [tex]V = \frac {1}{4} \times \sqrt{5 \times (5 +2 \times \sqrt {5})} \times (10)^{2} \times 10[/tex] , which if you solve this equation, then you will end up with the answer of 1.72.
For number two, the first thing you need to do is determine how many sides are on the second shape. Since it is an octagon, and the prefix oct means 8, the number of sides on the shape is 8. If the perimeter is 64, and there are 8 sides, you can divide 64 by 8 to get 8. The equation to solve for the area should look like this: [tex]V = 2(1 + \sqrt{2}) \times s^{2} \times h[/tex]. Now all you need to do is insert the side lengths to the proper places. It should then look like this: [tex]V = 2(1 + \sqrt{2}) \times 8^{2} \times 8[/tex], after you solve the equation, you should end up with 4.83.
A can of dog food is on sale for 20% off the original price. If the original price is 1.35, what is the discount?
Answer:
You will pay $1.08 for a item with original price of $1.35 when discounted 20%
Step-by-step explanation:
Math answer:
3(3+2)-s=38
Answer:
s = negative23 ( -23)
Step-by-step explanation:
3(3 +2 ) - s = 3(5) - s
15 - (-23) = 38
hope this helped!
3/8 + 1/8 - 1/3 + 1/4=
I need this please help me
Kiaan wants to pay for dinner at a restaurant. He has $30.00 in his wallet, and the meal costs $23.86. He wants to leave a 15% tip. Does he have enough? If so, how much will he have leftover? If not, how much more does he need? PLS EXPLAIN.
Answer:
2.56
Step-by-step explanation:
100%->23.86
15%-> 3.579
3.579+23.86=27.439(how much he needs to pay including tip)
30-27.439=2.561
≈2.56 (since we dont usually pay up to 3 d.p.)