The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees is 0.18.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
In a large company, 45% of the employees wear khaki pants on a daily basis.
40% of employees wearing khaki pants in a random sample of 50 employees
So, 40% of 45% x 50
= [tex]0.40 \times 0.45 \times 50 \\ \\9[/tex]
The probability of getting less than 40% of employees wearing khaki pants in a random sample of 50 employees.
= 9 /50
= 0.18
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Consider the system of equations.
4x−3y=−22x+3y=6
Which property could be used to write the equation 6x = 4 as the first step to solving the system of equations?
Division Property of Equality
Distributive Property of Equality
Substitution Property of Equality
Addition Property of Equality
Answer:
Addition Property of Equality
Step-by-step explanation:
I know because I just took the test and that if you added both problems together you would get 6x=4.
solve the following equation
5-4sin²x + 4cosx =0
Answer:
use gauth math it really helps you
Sally uses the pattern rule y = 4 + b to generate the first three outputs in the pattern. Which of the following is the fifth output in the pattern?
Captionless Image
5
9
8
10
Answer:
9
Step-by-step explanation:
y = 4 + b
Output is y
Input is b
We are asked to find out what we get if we input 5.
y = 4 + 5
4 + 5 = 9
y = 9
9 is the fifth output
what is the volume of a cone with a base radius of 5 m and a height of 12 m
How do you write 0.327 as a percentage
Determine whether the sequence converges or diverges. If it converges, give the limit.
9, 27, 81, 243,
The sequence diverges because the value of the absolute common ratio r is greater than the 1.
What is convergent of a series?A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We have series:
9, 27, 81, 243....
The above series is a geometric progression with common ratio r is 3
[tex]\rm r =\dfrac{27}{9}[/tex]
r = 3
We know the formula for a geometric sequence:
[tex]\rm S_n = 9(3)^n[/tex]
[tex]\rm S_n = 3^{n+2}[/tex]
A geometric series converges only if the absolute value of the common ratio:
r < 1 and
It diverges if the ratio ≥ 1
Here the value of r = 3 which is greater than the 1 so the sequence diverges.
Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.
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Select the correct answer from each drop-down menu.
Consider the equation below.
-2(53 + 8) = 14 + 65
The equation was solved using the following steps.
-10.1
-
- 16 = 14 + 65
-161 - 16 = 14
Step 1:
Step 2:
Step 3:
Step 4:
-161 = 30
30
--16
Step 5:
1
II
Complete the statements below with the process used to achieve steps 1-4.
-2 to 5x and 8.
Step 1:
Step 2:
6x
Answer:
1: Distribute -2 to 5x and 8.
2:Subtract 6x.
3:Add 16.
4:Divide by -16.
Step-by-step explanation:
Answer:
1: Distribute -2 to 5x and 8.
2:Subtract 6x.
3:Add 16.
4:Divide by -16.
Step-by-step explanation:
Step-by-step explanation:
18 pink flowers to 12 white flowers per row.
Find the ratio of pink flowers per white flower per row.
Answer:
18:12
divide both sides by 3
6:4
divide both sides by 2
3:2
Find the gradients of lines a and b ( first to do gets brainlist)
Answer:
A = 4
B = -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
Line A: gradient = 8/2 = 4.
Line B: gradient = -12/6 = -2.
Imagine you have five total nieces and nephews and their ages are 4, 10, 8, 9, and 5. What is the average age of your nieces and nephews? What is their median age?
Answer:
The mean is 7.2 and the median ( average) is 8
Step-by-step explanation:
4 + 10 + 8 + 9 + 5 = 36 / 5
The mean is 7.2 and the median ( average) is 8
Answer:
7.2 is the average.
8 is the median.
Step-by-step explanation:
Average = Sum/count
36/5 = 7.2
To find the median, you can take away numbers one by one on each side of the numerical order until you get down to the last number(s) in the middle. 8 is the middle number.
Can someone help?
Please?
Answer:
36
Step-by-step explanation:
FRIEND ME AM SMART
Answer:
Area = 35
Step-by-step explanation:
Area = base * height
A=b*h=7*5=35
Find the height of the right cone.
A 5.0 µC point charge is moved within an electric field and has an electric potential energy change of 10.0 J. What is the electric potential difference before and after the charge was moved? Show work. (µC = 1.0 × 10–6)
For a 5.0 µC point charge moved within an electric field, the electric potential difference is mathematically given as
du=2*10^6
What is the electric potential difference before and after the charge was moved?Generally, the equation for the change in potential energy is mathematically given as
dV=qdu
Therefore
10=5*10^{-6}*du
du=2*10^6
In conclusion, the electric potential difference
du=2*10^6
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Miss Osborne enlarges a 4-inch by 6-inch photograph by 2.5x. What are the dimensions of the enlarged photograph?
Answer:
C. 10in by 15inStep-by-step explanation:
enlarging the photograph by 2.5x means multiplying all of the sides of the photograph 2.5 times
Then
the dimensions of the enlarged photograph are:
Width = 4 ×2.5 = 10
Length = 6 ×2.5 = 15
Please help, I am struggling with this. Question is in image.
Answer:
- 6.5555 - 19/3 - sqrt 38 6.23
Step-by-step explanation:
Carson rode his bike for 3 3/4 miles on Wednesday. On Thursday, he biked 1 1/2 times as far as on Wednesday. How many miles did Carson bike on Thursday?
Answer: 7½ miles
Step-by-step explanation:
15/4× 3/2 = 45/6
Find the volume of the triangular prism
Answer:
70
Step-by-step explanation:
5*4*7=140/2=70
Find the TOTAL AREA INSIDE OF THIS FIGURE, the letter H
Answer:
31
Step-by-step explanation:
Multiply 7•2 which is 14, then multiply that by 2 so 14•2 because the sides are symmetrical, and that would be 28. After that you subtract 7-(3+3) to get the length of the center piece, and that would be 1, and multiply that by 3 which is 3. After that you add 28+3 and that's 31
Paola made a rectangular painting that has an area of 24 square feet. He now wants to make a similar
painting that has dimensions that are 2/3 the size of the original. What will the area of the new painting
be?
A. ) 36 square feet
B. ) 16 square feet
C. )12 square feet
D. ) 10 2/3 square feet
Tim uses a food delivery service to order dinner for himself and a friend. He paid $37.05 for dinner, which included the cost of the food and a delivery fee of 14% of the cost of the food. What was the cost of their dinner before the delivery fee?
Please explain!
Answer:
$31.86
Step-by-step explanation:
You can use a proportion here.
37.05 = 100%
x = 86% (100%-14% which is a delivery fee)
x = (37.05*86)/100
x = 3186.3/100
x = 31.86
The cost of their dinner before the delivery fee was $31.86.
I hope that I helped :)
A microwave is placed on top of two boxes. One box is 2 feet 10 inches tall, the other box is 4 feet 7 inches tall, and the microwave is 3 feet 4 inches tall. How tall are they combined? Write your answer in feet and inches. Use a number less than 12 for inches.
Answer:
10 feet 9 inches.
Step-by-step explanation:
(24+10)+(48+7)+(36+4)
34+55+40
129 inches
10 feet 9 inches
What must be the measure of Please answer ASAP!
Answer: 100 degrees
Step-by-step explanation:
[tex] \textbf{Solve for x : ~} [/tex]
[tex]\qquad \sf{2x + 1 = 5} [/tex]
Tuff question..
Here we go..
[tex]\qquad \sf{2x + 1 = 5} [/tex]
[tex]\qquad \sf{2x = 5 - 1} [/tex]
[tex]\qquad \sf{2x = 4} [/tex]
[tex]\qquad \sf{x = 4÷2} [/tex]
[tex]\qquad \sf{x = 2} [/tex]
I hope it helps you friend.
Step-by-step explanation:
2x+1=5
2x=5-1
x=4/2
x=2
URGETN DUE IN 20 MINUTES PLEASE HELP. Tammy went to Outback for dinner, and took Sue with her. The total bill cost $68.72. Service
was good so they left a 22% tip. If they split the bill, what did each of them pay for dinner.
Answer:
Step-by-step explanation:
find the tip
68.72 * 0.22 (22%) = 15.1184
I was hoping that 68.72 + 15.1184 would equal a nice round number, like if it had been 80 total, then they both could have dropped 40 dollars. which would make sense, and is probably what would really happen. But this is math, :D and it really doesn't have to make sense, it just has to be accurate.
so 68.72+15.12 = 83.84
83.84 / 2 =41.92 they each paid 41.92 or for crying out loud, would they really dig around for 92 cents? just give the waiter one whole dollar. So for accuracy they would each pay $41.92, but really they would each pay 42.00 dollars.. and to even be more real. they would each pay $40.00
Help me please I don't know the answer
Need help with this question?
Answer:
six hundred and sixty-two by twenty-six
Step-by-step explanation:
six hundred and sixty-two by twenty-six
2. Which expression is equivalent to 3(x - 1)?
a.
-
3 + x + 3 - 1
b. 3 + x - 1
с. 3х - 3
d. 3x - 1
Answer: 3× -3
Step-by-step explanation: Open the bracket by multiplying 3 with both sides
Answer is C
Answer:
C
Step-by-step explanation:
3× x+3×-1)
The brackets just just mean multiply everything outside with everything inside
A coin is Flipped 3 times. What IS the probability that the coin lands heads up once and tails up twice if order does not matter?
Answer:
The probability that the coin lands heads up once and tails up twice is .375, or 3/8.
Step-by-step explanation:
Check the conditions for a binomial distribution problem:
Define success = heads and failure = tails.The number of trials is fixed; n = 3.Each coin flip is independent of the other.Probability p = .5 of getting either heads or tails.We need to use combinations to determine the probability of getting one success (one head) and two failures (two tails).
The combination would be 3 choose 1: [tex]p = {3 \choose 1} (.5)^1(.5)^2[/tex].
There is one success and two failures, denoted by the superscripts above the probability p = .5.
Use a calculator to evaluate and we get:
[tex](3)(.25)(.5) = .375[/tex]The probability that the coin lands heads up once and tails up twice is .375, or 3/8.
Multiply and simplify the product. (3 – 5i)(–2 4i) select the product.
Answer:
120i(squared)-72i
Step-by-step explanation:
(3−5x)(−24x)
=(3+−5x)(−24x)
=(3)(−24x)+(−5x)(−24x)
=−72x+120x2
=120x2−72x
Answer:
B
Step-by-step explanation:
14+22i
List 6 calculative devices
Answer:
abacus, leibniz, slide rule and pascal calculator, difference engine, analytical engine, tabulating machine
Step-by-step explanation: