20% of the applicants for a certain sales position are fluent in both Chinese and Spanish. Suppose that four jobs requiring fluency in Chinese and Spanish are open. Find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant, if the applicants are interviewed sequentially and at random.
Answer:
The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164
Step-by-step explanation:
Let,
The number of unqualified applicants are interviewed before finding the fourth qualified applicant = x
So,
X be the negative Binomial (n = 4 , P = [tex]\frac{20}{100} = 0.2[/tex] )
As , we know that
P(X = n ) = ⁿ⁺⁴⁻¹Cₙ × (1 - 0.2 )⁴ × (0.2)ⁿ for n = 0, 1, 2, ....
As we have to find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant
⇒n = 2
∴
P(X = 2 ) = ²⁺⁴⁻¹C₂ × (1 - 0.2 )⁴ × (0.2)² for n = 0, 1, 2, ....
= ⁵C₂ × (0.8 )⁴ × (0.2)²
= [tex]\frac{5!}{2! (5-2)!}[/tex] × 0.41 × 0.04
= [tex]\frac{5.4.3!}{2.1! (3)!}[/tex] × 0.0164
= [tex]\frac{5.4}{2}[/tex] × 0.0164
= 10 × 0.0164 = 0.164
∴ we get
The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164
Julie bought 12
packages of cucumber seeds. Each bag contains 42
seeds. If she plants half of the seeds, how many of the
seeds does she have left?
Answer:
12x42=504
504/2=252
252
Step-by-step explanation:
If the measures of two angles of a triangle are 96 and 17°, what is the measure of the third angle
Eliminate the parameter in the equations x =t Superscript one-half and y = t – 4. How can the rectangular equation be described? cubic linear quartic quadratic
ANSWER: A
A function assigns values. The rectangular equation can be described as cubic.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
As the function of x and y is given, therefore, if we eliminate t from both the function we will get,
[tex]x=t^{\frac12}\\\\x=\sqrt t\\\\x^2=t[/tex]
Now, substitute the value of t in the function of y,
[tex]y= t-4\\y=x^2-4[/tex]
Further, the rectangular equation can be written as,
[tex]\text{Rectangular Equation} = x \times y[/tex]
[tex]= x \times (x^2-4)\\\\= x^3-4x[/tex]
Thus, the rectangular equation can be described as cubic.
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Answer: a.) cubic
Step-by-step explanation:
Can anyone tell me if this is right? Multiple choice!
Answer:
yes its correct
Step-by-step explanation:
What best describes the expression y over 4? (5 points)
a. Some number divided by 4
b. Some numbers times 4
c. 4 more than some number
d. 4 less than some number
I prefer you 100% know the answer and not “think” this is very important!!
Answer:
a
Step-by-step explanation:
Angle y is 36 degree.what is angle x
Answer:
do u have a picture or smth? there is not enough info
Choose the three rectangles that have a perimeter of 36 inches.
Step-by-step explanation:
The three rectangles that have perimeter of 36 inches are
A. C. and D
Just check by using the formula of perimeter of rectangle ; 2 (L + b)
Hope it will help :)
If i want to build a fence around my rectangular yard, what is the area in fencing if one side is 50 feet long and the other is 80 feet wide?
Answer:
70 feet total
Step-by-step explanation:
Answer:
4,000
Step-by-step explanation:
50•80=4,000
olivia's passcode has 4 digit The second digit to the left is 3 times the first (left most) digit tHe number formed by the last (right most ) 2 digits is three times the second digit to the left.the sum of the digits is 21. what is olivia's pass code
Answer:
3927
Step-by-step explanation:
This is the answer my teacher gave me, I promise.
The four-digit passcode is 3927 and this can be determined by using the given data and by using the hit and trial method.
Given :
Olivia's passcode has 4 digits. The second digit to the left is 3 times the first (left most) digit.The number formed by the last (right most) 2 digits is three times the second digit to the left.The sum of the digits is 21.Let the four digits passcode be 'abcd'. Then mathematical expression that represents "The second digit to the left is 3 times the first (left most) digit" is given below:
b = 3a --- (1)
The mathematical expression that represents "the sum of the digits is 21" is given below:
a + b + c + d = 21 --- (2)
So, let a = 3, then b = 9, and the last two digits are 27. So, the number becomes 3927.
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A number is greater than 8. The same number is less than 10. The inequalities x > 8 and x < 10 represent the situation.
Which best explains the number of possible solutions to the inequality?
O There is one solution because 9 is the only number between 8 and 10.
There are a three solutions because 8, 9, and 10 are possible solutions.
There are a few solutions because there are some fractions and decimals between 8 and 10.
There are infinite solutions because there is always another number between any two numbers.
Mark this and retum
Save and Exit
Next
Submit
Answer:
There are infinite solutions because there is always another number between any two numbers.
Step-by-step explanation:
Pick any number (including decimal) add an extra decimal after the smallest one and then you have a number between them. E.g.
1.234 and 2.987
1.2341, 1.2342, 1.2343, ... are all between them
Answer:
D
Step-by-step explanation:
Please help and when you get you answer it should be either ending in
cents, t-shirts, partners, Dollars
Answer:
1/6x = 45x = $270Step-by-step explanation:
There are 6 friends total and for them to make $45 each, you would need to multiply 6 to 45. The only way you could do this is if you have a fraction supporting the variable.
1/6x = 45
~Multiply 6 to both sides
x = 270
Best of Luck!
Answer:
[tex]\huge\boxed{\$ 270}[/tex]
Step-by-step explanation:
We can break this problem down to understand it.
Chad and his friend make an unknown amount of money while selling t-shirts. We'll assign this to a variable, [tex]x[/tex].
After splitting it amongst him and his 5 friends, he wants everyone to have $45.
Therefore, we can multiply the profit per person by the number of people to find how much money has to be made in total.
Chad + 5 people = 6 people
We can write an equation for this problem.
[tex]\displaystyle \frac{1}{6}x=45[/tex]
To solve this, we multiply both sides by 6 to cancel out the [tex]\frac{1}{6}[/tex] (as [tex]\frac{1}{6} \cdot 6 = 1[/tex]).
[tex]45 \cdot 6 = 270[/tex]
Hope this helped!
1) A ball is dropped from a height of 50 feet. How long after it is dropped will it reach a height of 18 feet?
Answer: 1.41 seconds
Step-by-step explanation:
The problem gives the initial velocity by saying "dropped." This indicates a velocity of zero. Acceleration can also be found because the object is in free fall. It would experience the acceleration of gravity. We can use the kinematic equation:
[tex](y_f-y_i)=V_it+\frac{1}{2}at^2[/tex]
The velocity term completely cancels because the object was dropped with an initial velocity of 0.
[tex](18-50)=\frac{1}{2} (32.17)t^2\\[/tex]
[tex]-32=-16.085t^2\\t=\sqrt{1.989} =1.41s[/tex]
The area of a rectangle is 1260 square inches. Its length is 36 inches.
Find the width
Suppose that c is a number for which the equation c÷c = 1 is false. What is c?
Answer:
Hope it help
Mark me as brainliest
Step-by-step explanation:
Use I = PRT to solve.
(time is in years)
1 = $270,000
P = $150,000
R = 12%
Find T.
Answer:
Time T = 15 year
Step-by-step explanation:
Given:
Interest I = $270,000
Principal P = $150,000
Rate R = 12% = 0.12
Find:
Time T
Computation:
I = PRT
270,000 = (150,000)(0.12)(T)
270,000 = (18,000)(T)
Time T = 15 year
PLS HELP !!! Dwight has a total of 55 nickels and quarters that total $8.75. How many of each coin
does he have?
Answer:
25 nickle and 30 quarters
Step-by-step explanation:
30 time .25 is 7.5 and 25 times .05 is 1.25 so yea thats it
Answer:
25 nickels 30 quarters
Step-by-step explanation:
what is the measure of m∠B
9514 1404 393
Answer:
40°
Step-by-step explanation:
The sum of angles in a triangle is 180°.
(6x)° +x° +(2x)° = 180°
9x = 180
x = 20
∠B = (2·20)° = 40°
Please help with this it’s due today
Answer:
10/8
Step-by-step explanation:
2*5=10
1*8=8
you're welcome
12. Remy took out a home-improvement loan to
pay for new kitchen cabinets. The loan was
for $10,000 at an annual interest rate of 5.6%.
Remy paid off the loan in 36 months.
She paid $ Drop-down in all
A. 10.680.00
B. 11,680.00
C. 12,016.00
D. 12,760.00
Answer:
Step-by-step explanation:
A=P(1+rt)
A=10000(1+.056(3))
A=10000(1.168)
A=$11680
Remy took the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and paid off the loan in [tex]36[/tex] months. She paid [tex]\$11680[/tex] Drop-down in all.
What is interest ?Interest is the charge you pay when you borrow money from someone or the cost you charge to lend money to someone.
Simple Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]
We have,
Principal[tex]=\$10,000[/tex],
Interest rate [tex]=5.6\%[/tex]
Time[tex]=36[/tex] months [tex]=3 years[/tex]
So,
Interest [tex]=\frac{Principal \ * \ Rate \ * \ Time}{100}[/tex]
[tex]=\frac{10,000*5.6*3}{100}[/tex]
Interest [tex]= 1680[/tex]
So,
Total amount to be paid [tex]=( 10,000+1680)=\$11680[/tex]
So, the loan for [tex]\$10,000[/tex] at an annual interest rate of [tex]5.6\%[/tex] and time of [tex]36[/tex] months be paid [tex]\$11680[/tex] Drop-down in all.
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Part a identify the similar triangles in the above diagram
Answer:
it's a scalene triangle whose all sides are different
como se llama la figura geométrica que tiene 6 caras 12 aristas 8 vertises
Answer:
hexaedro
ahí esta la respuesta
a = 9 and b = 2
Work out the value of
Step-by-step explanation:
I am not sure. sorry if it is wrong
The first step when multiplying fractions is to find the reciprocal of the second fraction.
O True
O False
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The statement is False.
The first step when multiplying fractions is to find the reciprocal of the second fraction.
The given statement is FALSE.
Because, First step in multiplying fractions is multiply the numerator from each fraction. That is, multiply the top number first.
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is 2.58 greater than or less than 2.7 there decimals and it's 4th grade and it's math
Answer:
2.58 is less than 2.7
Step-by-step explanation:
A company produces two types of jackets; windbreakers and rainbreakers. The company has at most 61 hours of finishing time per week and 67 hours of packaging time per week. Each windbreaker jacket takes 59 minutes of finishing time and 21 minutes of packaging time per week, whereas each rainbreaker jacket takes 58 minutes of finishing time and 34 minutes of packaging time per week. The company's profit for each windbreaker and rainbreaker jacket is 28 and 41, respectively. Let x denote the number of windbreaker jackets they should produce and y denote the number of rainbreaker jackets they should produce. The company wants to maximize profit. Set up the Linear Programming Problem for this situation.
Answer:
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Step-by-step explanation:
As given ,
Windbreakers Rain breakers Total
Finishing time 59 min 58 min 61 hr
Packaging time 21 min 34 min 68 hr
Profit 28 41
Let
The number of windbreaker jackets they should produce = x
The number of rain breaker jackets they should produce = y
As given,
The company wants to maximize profit.
⇒ Maximum Profit , p = 28x + 41 y
Now,
As 1 hour = 60 min
⇒61 hours = 61×60 = 3660 min
and 67 hours = 67×60 = 4020 min
∴ we get
The equations become
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
So, the Linear Programming Problem (LPP) for this problem is -
Max p = 28x + 41y
Subject to
59x + 58y ≤ 3660
21x + 34y ≤ 4020
x ≥ 0, y ≥ 0
Serves 4 people
200 g flour
4 Problem-solving Here is a recipe
for pancakes for four people.
Sophie makes pancakes for 14 people.
She has 800 g of flour, 1200 ml of
milk and 10 eggs.
Does she have enough ingredients?
350 ml milk
2 eggs
Answer:
ghjug,yhfgugug kuul
Step-by-step explanation:
PLEASE HELP !!! ILL GIVE BRAINLIEST!! *DONT SKIP* ILL GIVE 40 POINTS.
Answer:
The point on the graph is 4,21.
The left side or y is 3 every time and under or x is 1 each time.
1st point is 0,3 I think.
Step-by-step explanation:
Answer:
(4,21)
Step-by-step explanation:
x is the bottom line and y is the straight line (x,y) (I think)
Shivani has two pieces of wire, one 48 feet long and the other 21 feet long. If she wants to cut them up to produce many pieces of wire that are all of the same length, with no wire left over, what is the greatest length, in feet, that she can make them?
Answer:
3 feet
Step-by-step explanation:
48 = 2⁴×3
21 = 3×7
Greatest common factor of 48 and 21 is 3.
Each piece will be 3 feet long.
The points in the table below are on the graph of the function g(x). Which rule and table of values correspond to points on the graph of the function g‒1(x)? A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries negative 14, negative 6, negative 4, negative 2, 6. A 2-column table with 5 rows. Column 1 is labeled x with entries 2, 1, 0, negative 1, negative 2. Column 2 is labeled y with entries 6, negative 2, negative 4, negative 6, negative 14. (a, b) → (‒a, b) A 2-column table with 5 rows. Column 1 is labeled x with entries 14, 6, 4, 2, negative 6. Column 2 is labeled y with entries negative 2, negative 1, 0, 1, 2. (a, b) → ( −b, a) A 2-column table with 5 rows. Column 1 is labeled x with entries negative 14, negative 6, negative 4, negative 2, 6. Column 2 is labeled y with entries negative 2, negative 1, 0, 1, 2. (a, b) → (b, a) A 2-column table with 5 rows. Column 1 is labeled x with entries negative 2, negative 1, 0, 1, 2. Column 2 is labeled y with entries 14, 6, 4, 2, negative 6. (a, b) → (a, ‒b)
Answer:
MAG ARAL KA NG MABUTI ...PARA BALANG ARAW MAIPAGMALAKI KA... ❤️DOWN PAG MABASA MOTO☺️
