The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula ⁴C₃(0.60)³(0.40)
What is a Binomial Distribution?
The binomial distribution is a type of probability distribution that predicts the likelihood of obtaining one of two outcomes given a set of inputs. It summarizes the number of tries where each trial has the equal chance of producing the same result.
The formula for Binomial Distribution is given by
P ( x ) = ⁿCₓ pˣq⁽¹⁻ˣ⁾
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Given data ,
Let the total number of employees be = 500
Now , the probability of success of selecting employees having children is given by p = 0.60
So , the value of q = 1 - p
q = 1 - 0.60
q = 0.40
So , The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula
where,
P ( x ) = ⁿCₓ pˣq⁽¹⁻ˣ⁾
where
n = number of trials
x = number of successes
p = probability of getting a success in one trial
q = probability of getting a failure in one trial
q = 1 - p
Substituting the values in the equation , we get
P ( x ) = ⁴C₃(0.60)³(0.40)
On simplifying the equation , we get
P ( x ) = 4 x 0.246 x 0.4
P ( x ) = 0.3456
Therefore , the value of P ( x ) is 0.3456
Hence , The probability that exactly 3 of the 4 employees selected will have children is given by binomial distribution formula ⁴C₃(0.60)³(0.40)
To learn more about binomial distribution click :
https://brainly.com/question/29350029
#SPJ2
Find Y.
Round to the nearest tenth.
Z
8 ft
17 ft
Х
Y
16 ft
Y= [?]°
Answer:
Y = 27.8°
Step-by-step explanation:
Apply the Law of Cosines which is given as c² = a² + b² - 2ab*Cos C
Where,
c = 8
a = 17
b = 16
C = Y
Plug in the values
8² = 17² + 16² - 2*17*16*Cos Y
64 = 545 - 544*Cos Y
64 - 545 = -544*Cos Y
-481 = -544*Cos Y
Divide both sides by -544
-481/-544 = Cos Y
0.884191176 = Cos Y
Y = cos^{-1}(0.884191176)
Y = 27.8478491° ≈ 27.8° (nearest tenth)
Answer:
does any body have c?
Step-by-step explanation:
Which ordered pair is a solution to the inequality 7x – 3y > 10? O (1,2) O (1,0) 0 (3, 4) 0 (1, - 1)
Step-by-step explanation:
7(3) - 3(4) > 10
21 - 12 > 10
9 > 10
0 > -1
The solution for the inequality is not in the given options.
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given inequality is 7x – 3y > 10
Seven x minus three times of y greater than ten
Now let us consider all the options to find the ordered pair of inequality.
When we substitute x and y value it should be greater than 10.
(1,2)
7(1)-3(2)>10
7-6>10
1>10 NO
(1,0)
7(1)-3(0)>10
7>10 NO
(3,4)
7(3)-3(4)>10
21-12>10
9>10 NO
(1,-1)
7(1)-3(-1)>10
7+3>10
10>10 NO
Hence the solution for the inequality is not in the given options.
To learn more on Inequality click:
https://brainly.com/question/28823603
#SPJ2
Find the value of x
Answer:
x=66
Step-by-step explanation:
A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x
What type of function does this equation represent?
2
Y = 4
(1)
Answer:
2y=4 is a linear function
Step-by-step explanation:
Since 2y=4 is the same as 2y¹=4, then a degree of 1 makes the function linear, aka. a straight line.
Helppp I’ll brainlest....
Answer:
1.) B
2.) B
Step-by-step explanation:
1.) The outlier is a dot that is no where near the rest of the data.
2.) The median can be found by writing down all of the numbers from left to right (example... Test 1 would be 50 60 60 60 60 70 70 75 75 75 75 80 80 80 85) and then cross out numbers from each side until you just have one number in the middle.
For test 1 the median is 75
For test 2 the median is 85
pls help me I am in the middle of a test! If i get a bad grade I wont be able to go with my friends
Answer:
It would be right skewed.
Step-by-step explanation:
As you can see, the graph gets smaller as it goes to the right.
PLZ GIVE BRAINLIEST
What is the solution to 5/6 X 2/3 =
? Mark the TWO correct
answers.
Answer:
5/9
Step-by-step explanation:
Answer:
i think is 5/9 :))
First, write the expression Second, 7 in fol the variable, p. Third, by 7 and 5. The answer is
Answer:
p-5
substitute
simplify
subtracting
2
Step-by-step explanation:
got it right on edg
I WILL GIVE BRAINLYIST IF UR QUICK ITS TIMEDDDD TOOOOO
Answer:
B I belive
Step-by-step explanation:
What is JM? please help :((
Answer:
I think its D 30
Step-by-step explanation:
find the area, round to the nearest tenth if necessary
9514 1404 393
Answer:
78 in²
Step-by-step explanation:
The legs of an isosceles right triangle are the same length, so the figure is telling you the height of the parallelogram is 6.5 in. The area is ...
A = bh
A = (12 in)(6.5 in) = 78 in²
Julio invests $6,100 into an account that earns 5.2% annual compound interest. If Julio makes no additional deposits or withdrawals, which best represents the amount of interest Julio will earn after 8 years?
A $15,250.73
B $2,120.73
C $3050.73
D $9150.73
D) $9150.73
Step-by-step explanation:
Simple compound irate =
principal*growth rate^years
or
V(t) = p*g^t
Where g = 100% + the given growth rate,
in this case, 5.2%
So,
V(8) = 6,100*1.052^8
V(8) = 9150.73
What is the cube root of -729ab6?
O-9ab2
O
-9ab3
O-8a3b2
O
-8a²b3
Answer:
Step-by-step explanation:
The way they are written, question does not fit any of the choices. Did you mean ∛(-729ab⁶) ? ∛(-729a³b⁶) ?
please answer you will be awarded brainleist
Answer:
Hi, I'm here!
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answer:
JKM IHF
Step-by-step explanation:
Those are outer obtuse angles
Answer:
∠JKM and ∠IHF are alternate exterior angles
A bag of trail mix contains 3 ounces of peanuts, 6 ounces of cranberries, 2 ounces of almonds, and 2 ounces of raisins.
What is the ratio of ounces of peanuts to ounces of almonds? Write the ratio in three different ways?
Answer: 9514 1404 393
3 : 2
3/2
1.5
Step-by-step explanation:
Ratios can be written using a colon, division symbol, or as a pure number. (Consult your curriculum materials to see what their take on it is.)
3 ounces of peanuts to 2 ounces of almonds can be written as ...
peanuts : almonds = 3 : 2 = 3/2 = 1.5
Please can someone help me. I’m giving POINTS!! Solve for X
Answer:
6
Step-by-step explanation:
By inscribed angle theorem
[tex](15x-23)\degree = \frac{1}{2}[360\degree-(91+135)\degree]\\(15x-23)\degree = \frac{1}{2}[360\degree-226\degree]\\(15x-23)\degree = \frac{1}{2}[134\degree]\\(15x-23)\degree = 67\degree\\15x-23 = 67\\15x = 67+23\\15x = 90\\x= \frac{90}{15}\\x=6[/tex]
Simplify the radical expression. ⁴√81x²⁰y²⁴
I think it's either A or B
Answer:
3x^5y^6 (a)
Step-by-step explanation:
La raiz de un productor es igual al producto de las raices de cada factor
^4√81 ^4√x^20 ^4√y^24
escriba el numero en forma exponencial an base 3
^4√3^4 ^4√x^20 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 ^4√y^24
simplifica el indice de la raiz y el exponente usando 4
^4√3^4 x^5 y^6
simplifica el indice de la raiz y el exponente usando 4
3x^5y^6
Tell if the slope is positive, negative, zero, or no slope.
POSITIVE
Answer:
Negative
Step-by-step explanation:
The line is trending downwards, which is indicative of a negative slope.
HELPPPPPP PLS!!!!!!!!!
Answer:
y-25=180
Step-by-step explanation:
Same line so 180 degrees.
Answer: D or “y + 25 = 180”
a straight line is 180 degrees, therefore the combination of two angles should equal 180.
With that being said the answer should be y plus 25 = 180!
to find y, flip the equation: 180 - 25 = 155. Therefore y = 155 :)
happy to help! pls give me brainliest <3
The value of x must be greater than
B
12
...d
0 0
A
15
0 1
O 3
07
9514 1404 393
Answer:
(c) 3
Step-by-step explanation:
The value of x must be between the difference and sum of the lengths of the other two sides. The value must be greater than 15-12 = 3.
x > 3
The figure shows the dimensions of a room. How much carpet is needed to cover the floor of the room?
Length = 4m
width = 6m
Answer: 24m
Step-by-step explanation:
How much carpet is asking the area and area= LW
so Length(4) x Width(6) = 24
Solvefor x. 3x+ 2 = 9 –x
Answer:
x = 7/4
Step-by-step explanation:
3x+ 2 = 9 –x
3x + x = 9 - 2
4x = 7
x = 7/4
Stacy walked 0.550 kilometers from her house to her school. Which of the following is equivalent to this distance?
A. 5.5 mm
B. 55 cm
C. 550 m
D. 5500 km
The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the lengths of the three sides of the triangle. Enter an exact answer. Do not type your answers as fractions or decimals.
Answer:
2√3 = hypotenuse
√3 = side
Step-by-step explanation:
[tex]\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\[/tex]
Answer:
the smaller side=√3
hypotenuse=2√3
Step-by-step explanation:
(see the attachment below)
if z is real then what is z*?
Answer:
Step-by-step explanation:
z is a non negitave real number
(08.03) Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form.
Find AB, B equal 44° C equals 53° and b equals 7
Answer:
Step-by-step explanation:
Remark
I take it you are studying the sine law. If that is so, Then it will be set up as
Formula
x/sin(53) = 7 / sin(44) Multiply both sides by Sin(53)
Solution
Sin(53)x/Sin(53) = 7 sin(53)/Sin(44)
x = 7*Sin(53)/Sin(44)
x = 7 * 0.7986/0.6947
x = 8.0848
Note:
The sine law is always set up by 2 ratios. It consists of the sine of an angle divided by the side opposite = equal to another angle's sine over the side oppose the second angle.
The sine law can also be set up as two ratios side opposite / sin(Angle).
PLEASE HELP ME!!!
You and your friend got tricked into helping another friend move stuff from a garage into moving truck. The ramp used is 12 feet long and makes a 36° angle with the horizontal ground. You discover that the incline is just too steep, so you replace the ramp with one that is 32 feet long. What angle does this replacement ramp make with the ground? Round your answer to the nearest tenth of a degree
Answer:
12.73 Degrees
Step-by-step explanation:
I'm going to assume some things. The height of the truck is not changing, i.e. the the distance and length of the ramp is but the height stays the same.
We draw our right triangle, see photo
We really only care about finding out what side a is so
[tex]c = \frac{a}{ \sin(x) } [/tex]
Note: Let x = A
[tex]12 = \frac{a}{ \sin(36) } [/tex]
[tex]12 \sin(36) = a \\ a = 7.05342302750[/tex]
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{12} ) \\ = 35.9999 \: degrees[/tex]
So, since I stated that height did not change, same process just using 32 for the hypotenuse.
[tex] \sin(x) = ( \frac{opp}{hyp} ) \\ \sin(x) = ( \frac{7.05342302750}{32} ) \\ = 12.73367164 \: \: degrees[/tex]
Solve these equations.
Step-by-step explanation:
no solutions
because the absolute value of any number can never be negative.