Answer:
972 junior executives should be surveyed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
35% of junior executives left their company within three years.
This means that [tex]\pi = 0.35[/tex]
0.95 = 95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
To update this study, how many junior executives should be surveyed?
Within 3% of the proportion, which means that this is n for which M = 0.03. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.35*0.65}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96\sqrt{0.35*0.65}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.35*0.65}}{0.03}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.35*0.65}}{0.03})^2[/tex]
[tex]n = 971.2[/tex]
Rounding up:
972 junior executives should be surveyed.
Plz help me well mark brainliest if correct!!.....
Answer:
12 inches
Step-by-step explanation:
All you have to do is divide 72 by 6.
72 divided by 6 equals 12.
So your answer would be D.12 inches
-3, 7 THOSE NUMBERS CUT OFF
WILL GIVE BRAINLIST
Answer: +3
Step-by-step explanation:
5 + (-2) ( + × - = - ) ∴ 5 - 2 = 3
In a video game, the chance of rain each day is always 30%. At the beginning of each day in the video game, the computer generates a random integer between 1 and 50. Explain how you could use this number to simulate the weather in the video game.
explain
Answer: 35
Step-by-step explanation:
Julio is ordering books from BestBooks for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order.
Answer:
Shipping Fee = $ 6
Step-by-step explanation:
The complete question and the table is as follows :
Given - Julio is ordering books from Best Books for his reading club. The table shows Julio's total cost of the book order, Including the shipping fee for each order. Best Books charges the same shipping fee for every book order.
To find - How much is the shipping fee?
Proof -
We know that,
Total Cost = (Number of books buy)(Cost of 1 book) + Shipping Fee
Let us Assume that,
Cost of 1 book = x
Shipping Fee = y
So,
From the table, we get
21 = 5x + y ..........(1)
36 = 10x + y ..........(2)
51 = 15x + y ..........(3)
66 = 20x + y ..........(4)
From equation (1), we get
y = 21 - 5x
Put the value of y in equation (2), we get
36 = 10x + 21 - 5x
⇒36 = 5x + 21
⇒5x = 36 - 21
⇒5x = 15
⇒x = [tex]\frac{15}{5}[/tex] = 3
∴ we get
x = 3
Put the value of x , we get
y = 21 - 5(3)
= 21 - 15
= 6
⇒y = 6
SO, we get
x = 3
y = 6
Verify the 4 Equations :
21 = 5x + y ..........(1)
21 = 5(3) + 6
= 15 + 6
= 21
⇒21 = 21
Verified
36 = 10x + y ..........(2)
36 = 10(3) + 6
= 30 + 6
= 36
⇒36 = 36
Verified
51 = 15x + y ..........(3)
51 = 15(3) + 6
= 45 + 6
= 51
⇒51 = 51
Verified
66 = 20x + y ..........(4)
66 = 20(3) + 6
= 60 + 6
= 66
⇒66 = 66
Verified
So, we get
Cost of 1 book = x = $ 3
Shipping Fee = y = $ 6
Question 5 of 10
The chord BC is a diameter of OO.
A. True
B. False
Answer: it’s true i just did the quiz
Step-by-step explanation:
Chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.
What is Circle?A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
O is the center of the Circle
Chord BC is the line segment passing from the center of circle
Chord is a line segment whose end points lies on the circle.
Diameter is defined as a line segment passing from the center of the circle whose end point lies on the circle.
A chord that passes through the centre of a circle is called a diameter, and it is the longest chord.
Hence, chord BC is a diameter of the circle as passes from the center O of the circle and its end points B,C lies on the circle so the statement is true.
To learn more on Circles click:
https://brainly.com/question/11833983
#SPJ7
Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.
Answer:
SA = 56 sq mi
Step-by-step explanation:
SA = area of base + 1/2(perimeter of base)(slant height)
SA = 16 + 1/2(16)(5)
SA = 16 + 8(5)
SA = 16 + 40
komplike türkçe karşılığı
Answer:
football is better
Step-by-step explanation:
football is better
Cevap: Yapılması zor olan
ẞaşarılar dilerim
8y - (5y + 13 ) = -7
Answer:
y=2
Step-by-step explanation:
8y-5y-13=-7
3y-13=7
3y=-7+13
3y=6 /3
y=2
the perimeter of a square bulletin board is 280 cm how long is one of its side
i follow who answer this;)
Answer:
70cm
Step-by-step explanation:
Perimeter of square= 4×Side
280/4=Side
70=Side
70cm
hope it helps
[tex]\huge{\textbf{\textsf{{\color{pink}{An}}{\red{sw}}{\orange{er}} {\color{yellow}{:}}}}}[/tex]
Perimeter of square = 4a
280 = 4a
a =
[tex]280 \div 4 = 7 0 [/tex]
Side = 70cmThanks Hope it helpsWhich data set would be numerical?
Eye color
Kinds of pets
Age
Favorite food
Given a circle with a circumference of 30pi inches, solve for the exact area of a sector in terms of pi, whose central angle is one-fifth of the measure of the
circle.
1 km = ? cm
????? Pls help plsssssss
Answer:
1 km = 100000 cm
The corporate board of directors is hiring a consultant to do a deep analysis of one randomly selected XYZ manufacturing site. Given that 7 of the 14 XYZ sites have had 95% or higher widget production success rate in the last month, what is the probability that a successful site will be selected
Answer:
Hence, the probability of a successful site is :
[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]
Step-by-step explanation:
Given :
[tex]7[/tex] of the [tex]14,XYZ[/tex] sites have had [tex]95\%[/tex] or higher widget production success rate in the last month
To find :
The probability that a successful site will be selected.
We can select either of [tex]8[/tex] sites out of [tex]9[/tex].
These [tex]8[/tex] sites can be selected in [tex]8[/tex] ways.
Total sites[tex]=9[/tex]
Therefore, the probability of a successful site is :
[tex]P(\text{succes sites})=\frac{8}{9}=89\%[/tex]
If the diameter is 111ft then the radius is
Answer:
55.5 is the I guess........
A spinner is made of three equal sections blue green and red if I spend spend 180 times how many times I expect to get red as outcome
The first 5 terms in a pattern are
shown below.
25 13 27
-6,-4' 2' 4-7
If the pattern continues, which
equatior. could be used to find the nth
term?
Answer:
Option B. m(n) = –5.75 –¼n
Step-by-step explanation:
The sequence is given below:
–6, –25/4, –13/2, –27/4, –7
Next, we shall determine the common difference.
Common difference (d) = 2nd – First
2nd term = –25/4
First term = –6
d = –25/4 – – 6
d = –25/4 + 6
d = –6.25 + 6
d = –0.25 = –¼
Finally, we shall determine the nth term
Tₙ = a + (n –1)d
First term (a) = –6
Common difference (d) = –¼
Tₙ = a + (n –1)d
Tₙ = –6 + (n –1)–¼
Tₙ = –6 –¼n + ¼
Tₙ = –6 + ¼ –¼n
Tₙ = –6 + 0.25 –¼n
Tₙ = –5.75 –¼n
Thus, the nth term is given by:
m(n) = –5.75 –¼n
Round 89.288 to the nearest tenth
Answer:
89.3
Step-by-step explanation:
89.288
Eight is greater than five so we add 1 to the underlined number
amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
a 350
b 130
c 900
d 630
Answer:
He gets 630 dollars a week so the answer is D.
What is the Tan J? URGENT HELP PLS
Answer:
4th Option, [tex]\frac{12}{5}[/tex]
Hope this helps!
HELPPPPPPP PLEASE. IM SO CONFUSED IM WEIRD
I think that the answer is A.
please help me answer these 2 questions, worth lots of points
What is the probability that the card is not a heart, GIVEN that the card is a face card??
Best answer gets brainliest!!
Answer:
.75
Step-by-step explanation:
Conditonal probability formula:
A|B= (A∩B)/B
let NH= Not heart
Let F= Face
NH|F= NH∩F/F
not hearth and face is 9
face is 12
9/12=.75
Difference between a multiple choice and Multiple response
Answer:
Multiple choice means you get the more than one option and one of those options are correct while the rest are incorrect Multiple response means that you have to add more then one response to answer the question
Answer: multiple choice is when you have to pick one or more answers and Multiple response is one or more sentences
Step-by-step explanation:
Determine which of the lines, if any, are parallel or perpendicular. Explain.
BEEN ASKING FOR AN HOUR NOW!! the following two triangles are similar to each other. find the length of the missing side.
Answer: just multiply the same sides that same number and that add the answers all together
Step-by-step explanation:
Lee's goal is to log more
than 10,000 steps each day. If
she is awake 16 hours a day,
how many steps does she need
Ito take each hour?
Answer: 625 steps per hour
Step-by-step explanation:
10,000/16=625
pls, be honest. 20 points
Answer:
it is 5.7 so it should be in between the 5 and 6 but closer to the 6.
Step-by-step explanation:
Hope this helps have a great day! :)
Answer: 5.7
Step-by-step explanation:
Because it’s closer to six but still In the 5 range.
Find the y-intercept and the axis of symmetry of f(x) = ax2 – 6ax +2.
The y-intercept is
and the axis of symmetry is x=
Noah has 19 bacon pancakes on his plate, and Mackenzie has x less bacon pancakes than Noah. Choose the expression that show how many bacon pancakes Mackenzie has.
Answer:
19-x
the expression that show how many bacon pancakes Mackenzie is 19 - x
Please help I don’t understand this