Answer:
8.033
Step-by-step explanation:
A study of the career paths of hotel general managers sent questionnaires to an SRS of 210 hotels belonging to major U.S. hotel chains. There were 108 responses. The average time these 108 general managers had spent with their current company was 8.8 years. (Take it as known that the standard deviation of time with the company for all general managers is 3.5 years.)
Required:
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.
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.
Answer:
a
[tex]E = 0.4850 [/tex]
b
[tex]E = 0.8689[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 108
The sample mean is [tex]\= x = 8.8 \ years[/tex]
The standard deviation is [tex]\sigma = 3.5[/tex]
From the question we are told the confidence level is 85% , hence the level of significance is
[tex]\alpha = (100 - 85 ) \%[/tex]
=> [tex]\alpha = 0.15[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.44 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 1.44 * \frac{ 3.5 }{\sqrt{108} }[/tex]
=> [tex]E = 0.4850 [/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
=> [tex]E = 2.58 * \frac{ 3.5 }{\sqrt{108} }[/tex]
=> [tex]E = 0.8689[/tex]
I need help answering this question
Answer:
[tex] x = 7 [/tex]
Step-by-step explanation:
Given that AB and BC are perpendicular, it follows that:
m<ABC = right angle = 90°
Thus:
[tex] 75 + (x + 8) = 90 [/tex] (angle addition postulate)
Solve for x
[tex] 75 + x + 8 = 90 [/tex]
[tex] 83 + x = 90 [/tex]
Subtract 83 from each side
[tex] 83 + x - 83 = 90 - 83 [/tex]
[tex] x = 7 [/tex]
Find the value of x.
2x + 30
3x - 5
X - 15
X=
Answer:
x = 50Step-by-step explanation:
Angle 2x + 30 is exterior which is equal to sum of non-adjacent interior angles:
3x + 30 = 3x - 5 + x - 153x + 30 = 4x - 204x - 3x = 30 + 20x = 50The classic 60° triangle has a hypotenuse of length 2, an opposite side of length √3 and an adjacent side of length 1....find the value of Cos(60°)
Answer:
The trigonometric values for cos are C = A/H, which means that to find cos(60), you need to divide the adjacent side by the hypotenuse, which in this case gives you 1/2, so that is the value of cos(60).
I hope this helps!
Step-by-step explanation:
what is the 784 time 7858
Answer:
784 x 7858 = 6160672
Step-by-step explanation:
Answer:
Step-by-step explanation:
6160,672
A circle has a diameter of 10 meters. What is the length of the arc subtended by a central angle of 4 radians.
A. 40 meters
B. 20 meters
C. 4 meters
D. 10 meters
Answer:
b
Step-by-step explanation:
The length of the arc subtended by a central angle of 4 radians = 20 m
Diameter of the circle = 10 m
Radius of the circle = 5 m
Central angle in radians = 4 radians
The length of arc for the circle can be determined by the formula as formulated in equation (1)
[tex]\rm L = Length\; of \; Arc \\\theta = Central \; Angle \; in \; radians \\r = Radius\; of\; the\; circle\\L = \theta \times r.......(1)[/tex]
From equation (1) we can write that
[tex]\rm L = 5 \times 4 = 20 \; m[/tex]
The length of the arc subtended by a central angle of 4 radians = 20 m
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Mrs. Pitts wrote the volume formula as "V=Bh". what does "B" represent
Answer:
B stands for the area of the base of a figure.
Step-by-step explanation:
Example: In a square prism, the area of the base would be the length times the width of the square.
Here is a sequence: 500, 100, 20, . . . Explain why this sequence could be a geometric sequence.
A sequence is said to be Geometric sequence if there is a common ratio 'r' in each successive term and the previous term.
[tex]r=\frac{\text{Successive term}}{\text{Previous term}}[/tex]
Given sequence is,
500, 100, 20......
Ratio of 2nd and 1st term = [tex]\frac{100}{500}[/tex]
= [tex]\frac{1}{5}[/tex]
Ratio of 3rd and 2nd term = [tex]\frac{20}{100}[/tex]
= [tex]\frac{1}{5}[/tex]
Therefore, there is a common ratio 'r' = [tex]\frac{1}{5}[/tex]
And the given sequence will be geometric sequence.
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The corner grocery sells a 5-pound bag of potatoes for $3.00, a 10-pound bag of potatoes for $5.50, and a 25-pound bag of potatoes for $12.00. If Jolene needs exactly 40 pounds of potatoes, what combination should she buy to spend the LEAST amount of money?
Answer:
(1)25 pound bag (2) 10 pound bags and(1) 5 pound bag
Step-by-step explanation:
PLEASE GUYS JUST HELPPP MEEE PLEASE
Answer:
Step-by-step explanation:
2. 27
3. 18
Answer:
s o w h a t y o u n e e d t o d o i s
Step-by-step explanation:
HELP PLEASE! IS THIS PROPORTIONAL??
Answer:
Porportional
Step-by-step explanation:
-1 x = -15 y
-7 x -15 = -105, correct
-9 x -15 = -135, correct
Because all are correct, this is porportional. This means that there is a unit rate and if this were graphed, the line would be straight.
I Hope That This Helps! :)
jay is attending physical therapy after knee surgery he walked 4 2/3 miles over 3 days how many miles is the per day simplilfy the answer as a mixed number
Answer:
1 5/9 miles per day
Step-by-step explanation:
(4 2/3)/3 = 1 5/9
PLSS HELP, show u work and I’ll give brainliest
Answer:
What's the question?
Step-by-step explanation:
Answer: Incomplete question?
Step-by-step explanation: is there any images attached? What is the question?
Belkis
On Sunday, a local hamburger shop sold a combined total of 432 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the
number of hamburgers sold. How many hamburgers were sold on Sunday?
hamburgers
$
?
Answer: 144 Hamburgers were sold on Sunday.
Step-by-step explanation:
Hamburgers: 432 ÷ 3 = 144
Chessburgers : 432 - 144 = 288
prove a stronger version of proposition 2.3.7 suppose xn ia a sequence such that every subsequence xni has a subsequence xnmi that converges to x
Answer and Step-by-step explanation:
Solution:
Given:
A, B and C are sets.
We have to prove that:
(A − B) ∩ (C − B) = (A ∩ C) − B.
Use an element x,
Let x Є (A – B), by the definition of difference:
X Є A and x ∉ B.
And
X Є A ∩ C and x ∉ B
X Є (A ∩ C) – B
Now let x Є C – B
By the definition of difference:
X Є C and x ∉ B
By definition of intersection: x Є C and x Є( A ∩ C)
By definition of difference, using that x Є(A ∩ C) And x ∉ B:
X Є ( A ∩ C) – B
We know that: x Є (A – B) ∩ ( C – B)
Is equivalent to x Є A – B and x Є C – B
So, ( x Є A and x ∉ B)
And (x Є C and x ∉ B)
From this we know that x Є (A ∩ C) – B.
What is the value of x?
A crew will arrive in one week and begin filming a city for a movie. The mayor is desperate to clean the city streets before filming begins. Two teams are available, one that requires 700 hours and one that requires 400 hours. If the teams work together, how long will it take to clean all of the streets? Is this enough time before the cameras begin rolling?
Answer:
I think you would add the numbers then divide by 2
Step-by-step explanation:
determine the value of sin○
Answer:
mera bahi mil nhi rha h abhay ko jante h
Answer:
sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
If cos(theta) = [tex]\frac{\sqrt{2} }{2}[/tex], then theta should equal [tex]\frac{\pi }{4}[/tex] or [tex]\frac{7\pi }{4}[/tex] since both angles are on the right side of the origin, meaning the cosine would be positive. However, it states that the angle theta terminates at quadrant IV so the only angle that would meet this criteria is [tex]\frac{7\pi }{4}[/tex] .
So theta should equal [tex]\frac{7\pi }{4}[/tex] .
Now that we have theta, all you have to do is find the value of sine by plugging it in.
sin([tex]\frac{7\pi }{4}[/tex] ) = -[tex]\frac{\sqrt{2} }{2}[/tex]
Please answer asap i will help back and give brainliest
Answer:
[tex] 24 \times c \\ \\ 24c[/tex]
Step-by-step explanation:
[tex]24 \times c \\ \\ 24c[/tex]
Write an algebraic expression for the phrase 17 more than r.
Answer:
r+17
This equation is stating to write an expression (without an = sign. varies from an equation). It states that you need to write it as 17 more than r. This means 17 added on to r . r+17
Step-by-step explanation:
if the bathtube holds 46.2 gallons How many mints will it take to fill the whole tub
Answer:
takes 3 minutes
Step-by-step explanation:
Math help!!! Answers to both 1&2?
Answer:
1. 1/3
2. 200
Step-by-step explanation:
ba + 3ca = -2
Solve for a
We have:
ba + 3ca = -2
Extract common factor "a":
a(b + 3c) = -2
Divide by the term (b + 3c):
[tex]a = \dfrac{-2}{b+3c}[/tex]
Solve the equation x2 + 4x + 4 = 0
Answer:
(
x
−
2
)
(
x
−
2
)
=
0
x
=
2
Explanation:
To factor the expression you need to find factors of 4 which add up to 4.
The signs will be the same (because of +4), they are both minus (because of -4x).
2
×
2
=
4
and
2
+
2
=
4
(
x
−
2
)
(
x
−
2
)
=
0
Now that we have the factors, we can solve:
If
x
−
2
=
0
, then
x
=
2
(Sorry if confusing, it wouldnt let me write it out how i wanted to..)
Find the average rate of change of g(x)= -4x^3+1 from x= -4 to x = 1
Answer:
[tex]Rate = -52[/tex]
Step-by-step explanation:
Given
[tex]g(x) = -4x^3 + 1[/tex]
x = -4 to x = 1
Required
Determine the average rate of change
This is calculated using:
[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]
Where
[tex]a = x = -4[/tex]
[tex]b = x = 1[/tex]
Calculating g(b):
g(b) = g(1)
If [tex]g(x) = -4x^3 + 1[/tex], then
[tex]g(1) = -4(1)^3 + 1[/tex]
[tex]g(1) = -4*1 + 1[/tex]
[tex]g(1) = -4 + 1[/tex]
[tex]g(1) = -3[/tex]
Calculating g(a):
g(a) = g(-4)
If [tex]g(x) = -4x^3 + 1[/tex], then
[tex]g(-4) = -4(-4)^3 + 1[/tex]
[tex]g(-4) = -4*-64 + 1[/tex]
[tex]g(-4) = 256 + 1[/tex]
[tex]g(-4) = 257[/tex]
So, the formula:
[tex]Rate = \frac{g(b) - g(a)}{b - a}[/tex]
becomes
[tex]Rate = \frac{g(1) - g(-4)}{1 - (-4)}[/tex]
[tex]Rate = \frac{g(1) - g(-4)}{1+4}[/tex]
[tex]Rate = \frac{g(1) - g(-4)}{5}[/tex]
[tex]Rate = \frac{-3 - 257}{5}[/tex]
[tex]Rate = \frac{-260}{5}[/tex]
[tex]Rate = -52[/tex]
What is the solution for 7x-4=-18
Answer:
X=-2
add 4 to -18
divide -14 (from the previous step [-18+4]) by 7
-14/7 = -2 (from previous step [14/7 = 2, keep it negative])
X = -2 (x equals negative two)
HURRY I HAVE TO DO MY TEST?!?!?!?!?Evelyn wants to enlarge a photo that measures 3 inches by 5 inches. A photo measures 3 inches by 5 inches. A larger photo measures x inches by 15 inches. What is the missing measurement, in inches, that Evelyn needs? 3 5 6
Answer:
the answer is 9
Step-by-step explanation:
Answer:
it is 9
Step-by-step explanation:
Evaluate and simplify the expression when a = 3 and b = 2. 3b-2(1 - b) a - 2 II [ ? ] Enter Copyright © 2003.2010
Correct question:
Evaluate and simplify the expression when a = 3 and b = 2,
given expression = 3b-2(1 - b)a - 2
Answer:
3b-2(1 - b)a - 2 at the given values is 10.
Step-by-step explanation:
Given;
3b-2(1 - b)a - 2
The expression is simplified as;
3b-2(1 - b) a - 2 = 3b - 2a(1 - b) - 2
= 3b - 2a + 2ab - 2
When a = 3 and b = 2; then, substitute these values in the simplified expression above;
3b - 2a + 2ab - 2 = 3(2) - 2(3) + 2(3 x 2) - 2
= 6 - 6 + 12 - 2
= 10
Therefore, 3b-2(1 - b)a - 2 at the given values is 10.
A type of student loan that offers no payments and no interest until graduation is called:
Answer:
Private Loans
Step-by-step explanation:
Answer:
This is called subsidized loan
You are given the following set of data. Its mean is 293.
225, 259, 306, 325, 350
If 25 is subtracted from each value, what will be the new mean?
A. 293
B. 268
C. 234
D. 200
Answer:
B. 268
Step-by-step explanation:
The new mean for the given data set can be obtained as 268.
How to calculate the average or mean?In order to calculate average, divide the total sum of the data to the total number of data. An average is a standard number for a given data whose value can both be more or less than it.
The given data is 225, 259, 306, 325, 350.
And, its mean is given as 293.
Here, the number of elements is 5.
If 25 is subtracted from each value, new mean can be evaluated as below,
New mean = (Old mean × 5 - 25 × 5)/5
⇒ (293 × 5 - 25 × 5)/5
⇒ 293 - 25 = 268
Hence, the new mean can be obtained as 268.
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