Answer:
A.)
0.852 ; 0.999 ; 0.013
B.)
0.018 ; 0.593 ; 0.050
Step-by-step explanation:
Given :
Proportion of marketing personnel that are extrovert, p = 0.75
1 - p = 1 - 0.75 = 0.25
Proportion of computer programmers that are introverts, p = 0.55
1 - p = 1 - 0.55 = 0.45
According to binomial distribution formula :
P(x =x) = nCx * p^x * (1 - p)^(n - r)
A.) n = 15
Probability that 10 or more are extrovert
P(x ≥ 10) = p(x = 10) + p(x = 11) +... p(x = 15)
To save computation time, we can use a binomial probability calculator ;
P(x ≥ 10) = 0.8516 = 0.852
Probability that 5 or more are extrovert :
P(x ≥ 5) = p(x = 5) + p(x = 6) +... p(x = 15)
To save computation time, we can use a binomial probability calculator ;
P(x ≥ 5) = 0.9999 = 0.999
Probability that all are extrovert :
P(x = 15) = 15C15 * 0.75^15 * 0.25^0
P(x = 15) = 1 * 0.75^15 * 0.25^0
P(x = 15) = 0.01336 = 0.013
B.
What is the probability that all are introverts?
n = 5
None are introvert :
P(x = 0) = 5C0 * 0.55^0 * 0.45^5
P(x = 0) = 1 * 1 * 0.0184528125
P(x = 0) = 0.01845 = 0.018
P(x ≥ 3) = p(3) + p(4) + p(5)
To save computation time, we can use a binomial probability calculator ;
P(x ≥ 3) = 0.5931 = 0.593
Probability that all are introvert
P(x = 5) = 5C5 * 0.55^5 * 0.45^0
P(x = 5) = 1 * 0.55^5 * 0.45^0
P(x = 5) = 0.0503 = 0.050
Sarah invests $6000 in an annually compounded account with an interest rate of 1.7% for 8 years. What is the balance of her account after those 8 years?
Answer:
c
Step-by-step explanation:
i think
Need help extra points and Mark as brainlist
Answer:
27
Step-by-step explanation:
Q1:The number of students in a chess club decreased from 23 to 13. What is the percent decrease? Round your answer to the nearest percent.
The percent decrease is ? %.
Q2:The price of a pair of shoes increases from $68 to $81. What is the percent increase to the nearest percent?
The percent increase is ? %.
Answer:
Step-by-step explanation:
23 x .565 = 12.995
12.995 rounded is 13.
So if the answer is .565, and you need to round to the nearest percent, it would be 57%.
Answer:
Step-by-step explanation:
1) Decreased students = 23 -13 = 10
Decreased percentage = [tex]\frac{10}{23}*100[/tex]
[tex]= \frac{1000}{23}\\\\= 43.47[/tex]
= 43%
2) Increased amount = 81 - 68 = $ 13
Increased percentage = [tex]\frac{13}{68}*100[/tex]
[tex]= \frac{1300}{68}\\\\= 19.11[/tex]
= 19%
For what value of the number k is the following function differentiable at x=2
f(x) = {2x + 1 if x<2
k x=2
3x-1 x>2}
Answer:
For f(x) to be differentiable at 2, k = 5.
Step-by-step explanation:
For f(x) to be differentiable at x = 2, f(x) has to be continuous at 2.
For f(x) to be continuous at 2, the limit of f(2 – h) = f(2) = f(2 + h) as h tends to 0.
Now,
f(2 – h) = 2(2 – h) + 1 = 4 – 2h + 1 = 5 – 2h.
As h tends to 0, lim (5 – 2h) = 5
Also
f(2 + h) = 3(2 + h) – 1 = 6 + 3h – 1 = 5 + 3h
As h tends to 0, lim (5 + 3h) = 5.
So, for f(2) to be continuous k = 5
PLEASEEE PLEASE I BEGGGGGG YOOOOOOOOOUUUUUU
Answer:
3 types of variables Question 1
Independent Variable Question 2.
Dependent Variable Question 3.
Step-by-step explanation:
The arrow is the variable that is controlling, and the independent variable is the outcome of the experiment.
Subtract 6q from 10z
Answer:
10z-6q..............
Evaluate a^0b^-2 for a=-2 and b=-3
Step-by-step explanation:
a^0b^-2...place -2 and -3 respectively
(-2^0)(-3^-2)
(1)(1/-3^2)
(1)(1/9)
Write an equation that contains the points (3,5) and
(-2,10) on a line.
.. i just need an equation:)
Answer:
y = –x +8
x + y = 8
(10 -5) is the rise and (-2-3) is the run
please simplify this! whoever gets its correct i will mark your comment as a brainliest !
Answer:
Step-by-step explanation:
6x^8 X y^5
4x^5 X z^8
12a^9 X b^7
6s^9 X t^3
verify the identity
[tex]cot(x-\frac{\pi }{2} )[/tex] = - tan x
please show all steps
Answer:
Step-by-step explanation:
[tex]\tan (x-\frac{\pi }{2} )=\frac{tan~x-tan~\frac{\pi }{2} }{1+tan~x~tan~\frac{\pi }{2} } \\or~\cot(x-\frac{\pi }{2} )=\frac{1+\tan~x~\tan\frac{\pi }{2} }{\tan~x-\tan~\frac{\pi }{2} } \\divide~the~R.H.S. ~by~\tan ~x~\tan~\frac{\pi }{2} \\=\frac{\cot~x~\cot~\frac{\pi }{2} +1 }{\cot~\frac{\pi }{2} -\cot~x} \\\cot\frac{\pi }{2} =0\\\cot(x-\frac{\pi }{2} )=\frac{\cot~x ~\times~0+1}{0-\cot~x} \\\cot~(x-\frac{\pi }{2} )=-\frac{1}{\cot~x} =-\tan~x[/tex]
Matt is a salary plus commission salary. He earns a salary of $1,400 and a
commission of 5% of all his sales. This month his sales were $12,852.
Determine how much gross pay did Matt receive for that month.
Answer:
2042.6$
Step-by-step explanation:
12853(5/100)+1400
You are going to an amusement park over Spring Break. The cost of admission to enter the park is $30 and the rides are an additional $6 each. If your parents give you $100 to spend at the amusement park, what is the maximum number of rides you can go on? Write an inequality to show the maximum number of rides you can go on.
Answer:
30+6x ≤ 100 (inequality)
The maximum amount of rides is 11 rides
Step-by-step explanation:
So first the admission fee is 30
Each ride is 6
So since you can go on any amount of rides, its unknown so (x)
You only have a 100 dollars and you can’t go over but you can go lower
so 30+6x≤100
If you solve it
x≤11
So 11 rides
Today the price of a Jeep is $25,000. In 1970, the price was $5,000. What's the price relative?
Answer:
$500
Step-by-step explanation:
Today the price of a Jeep is $25,000.
In 1970, the price was $5,000.
We need to find the relative price. It can be calculated as follows :
[tex]P=\dfrac{25000}{5000}\times 100\\\\P=\$500[/tex]
So, the relative price is $500.
( 6x 10²) (3 exponent)
Answer:
600x
Step-by-step explanation:
brainliest plssssss
Solve using traditional division: 8,184 62
Answer:
131
Step-by-step explanation:
You just put the biggest number in the box, and then you divide by the lower number.
Dylan is evaluating the expression 13 + 19 + 7 + 10. At one step in his work, Dylan rewrites the equation as 13 + 7 + 19 + 10. Which property of addition must Dylan have used when he evaluated the expression?
associative property
commutative property
distributive property
identity property
Answer:
1
Step-by-step explanation:
i am not sure but that is what i got.
Answer:
b). Commutative property
Step-by-step explanation:
JJ purchases almonds in bulk at the supermarket. Which best describes the slope of the line graphed?
Answer: D
Step-by-step explanation:
Find the value of y
A. 8√2
B. 4√2
C. 2√2
D. 4
Your friend solved the
equation 4x + 12x - 6 = 4(4x + 7) and got x = 34.
What error did your friend make? What is the
correct solution?
4x + 12x - 6 = 4 (4x
4 (4x + 7
)
16x
16x + 28
- 166 6 166 16x + 28
x-6=28
x - 6+ 6 = 28 + 6
x = 34
Answer:
The equation is flawed.
Step-by-step explanation:
4x+12x-6=4(4x-7)
simplifying
16x-6=16x-28
-6 does not equal -28
The equation is flawed.
The required simplified solution of the given expression is given as x = 8.5.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
4x + 12x - 6 = 4(4x + 7)
16x - 6 = 12x + 28
16x - 12x = 28 + 6
4x = 34
x = 8.5
Thus, The required simplified solution of the given expression is given as x = 8.5.
Learn more about simplification here:
https://brainly.com/question/12501526
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Rewrite the equation by completing the square -34=x^2-14x+10
Step-by-step explanation:
-34 = x² - 14x + 10
x² - 14x + 44 = 0
(x - 7)² - 5 = 0
(x - 7)² = 5
x = √5 + 7 or x = -√5 + 7.
Answer:
the correct answer is
x^2+16x−2=11 - equation simplified
7 the root of 5 - answer
Step-by-step explanation:
Mike purchased a Superman game for $11.01 and a Batman game for $6.93 with a $20 bill. Mike already owns 4 games. How much change did mike get?
5th grade math give step by step explanation to pls
Answer:
13
Step-by-step explanation:
First you need to divide579/48 to find the number of busses if each carries 48 which equals 12.062 but you cant put a portion of the people in 1/100th of a bus so 13 busses
PLZ HELP ME OUT WITH THIS!!!!!!!!
Answer:
B. 25√3
Step-by-step explanation:
Use trigonometric ratio formula to find the length and width of the rectangle
Thus:
✔️Length of diagonal:
Reference angle = 30°
Hypotenuse = 10
Let length of rectangle = x = adjacent side
Therefore:
Cos 30° = x/10
10*cos 30 = x
10*√3/2 = x (cos 30 = √3/2)
5√3 = x
x = length of rectangle = 5√3
✔️Width of diagonal:
Reference angle = 30°
Hypotenuse = 10
Let width of rectangle = y = opposite side
Therefore:
Sin 30° = y/10
10*sin 30 = y
10*½ = y (sin 30 = 1/2)
5 = y
y = width of rectangle = 5
✔️Area of rectangle = length * width = 5√3 * 5 = 25√3
ABC is an isosceles triangle with BA=BC
D lies on AC
ABD is an isosceles triangle with AB=AD
Angle ABD=72
Answer:
step-by-step in attachment
Step-by-step explanation:
Ashley came to school 17 out of the last 20 days what percent of the last 20 days did Ashley come to school
Answer:
18
Step-by-step explanation:
what is the are of the figure below
Answer:
68 inches squared
Step-by-step explanation:
First, the squares:
3*3 = 9
3*3 = 9
9 + 9 = 18
Next, the rectangle inside of the hexagon
3*10 = 30
Finally, the little shapes to the side of the rectangle that we just created:
We can split them into 4 triangles:
1/2(5)*2 = 5
5(4) = 20
Add all the areas up:
18 + 30 + 20 = 68
2x2x2x2x2x2x2x2/2x2x2x2
Simplify. Rewrite the expression in the form 2^n
The solution of the expression in the form of 2ⁿ is,
⇒ 2⁴
What is mean by Multiplication?Multiplication means to add number to itself a particular number of times. Multiply will be viewed as a process of repeated addition.
We have to given that;
The expression is,
⇒ (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2) / (2 x 2 x 2 x 2)
Now, We can write the expression in the form of 2ⁿ as;
⇒ (2 x 2 x 2 x 2 x 2 x 2 x 2 x 2) / (2 x 2 x 2 x 2)
⇒ 2⁸ / 2⁴
⇒ 2⁸ ⁻ ⁴
⇒ 2⁴
Thus, The solution of the expression in the form of 2ⁿ is,
⇒ 2⁴
Learn more about the multiplication visit:
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Find tan θ for θ = 60° .
Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
tanx=[tex]\frac{sinx}{cosx}[/tex]
sin60°/cos60°=[tex]\frac{\sqrt{3} }{2} / \frac{1}{2}[/tex]= [tex]\sqrt{3}[/tex]
members of charity group are having a bake sale. They plan to sell chocolate chip cookies and brownies .They expect to sell at most a total of 600 items and that at least three-fourth of the items sold will be brownies. Which graph shows the possible numbers of cookies and brownies they expect to sell?
Answer: c
Step-by-step explanation:
Answer:
Sorry can’t answer.
Step-by-step explanation:
There are no graphs.
Given that 2 + h − 4 = 0 has no roots. Find the ranges of value of .
Answer:
here is your answer.....
Step-by-step explanation:
2 + h - 4 = 0
LHS:
2 - 4 + h
-2 + h
Therefore:
-2 + h = 0
h = 0 - 2
h = - 2
SO,
the value of h is -2