Answer:
$50
Step-by-step explanation:
Make the equation where x is the original price:
x - 0.2x = 40
Combine like terms
0.8x = 40
Divide both sides by 0.8
40/0.8 = 50
A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% of this population prefers the color green. If 16 buyers are randomly selected, what is the probability that exactly 10 buyers would prefer green
Answer:
[tex]P(X=10) = 0.1222[/tex]
Step-by-step explanation:
Represent Green with G
So,
[tex]G = 50\%[/tex]
Required
Determine the probability that 10 out of 16 prefer green
This question is an illustration of binomial distribution and will be solved using the following binomial distribution formula.
[tex]P(X=x) = ^nC_xG^x(1-G)^{n-x}[/tex]
In this case:
[tex]n = 16[/tex] -- number of people
[tex]x = 10[/tex] -- those that prefer green
So, the expression becomes:
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{16-10}[/tex]
[tex]P(X=10) = ^{16}C_{10}G^{10}(1-G)^{6}[/tex]
Substitute 50% for G (Express as decimal)
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*(1-0.50)^{6}[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{10}*0.50^{6}[/tex]
Apply law of indices
[tex]P(X=10) = ^{16}C_{10}*0.50^{10+6[/tex]
[tex]P(X=10) = ^{16}C_{10}*0.50^{16[/tex]
Solve 16C10
[tex]P(X=10) = \frac{16!}{(16-10)!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11*10!}{6!10!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6!} *0.50^{16[/tex]
[tex]P(X=10) = \frac{16*15*14*13*12*11}{6*5*4*3*2*1} * 0.50^{16[/tex]
[tex]P(X=10) = \frac{5765760}{720} * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.50^{16[/tex]
[tex]P(X=10) = 8008 * 0.00001525878[/tex]
[tex]P(X=10) = 0.12219231024[/tex]
[tex]P(X=10) = 0.1222[/tex]
Hence, the required probability is 0.1222
The length of a rectangle is 2 units more than the width. The area of the rectangle is
35 units. What is the width, in units, of the rectangle?
Answer:
7
Step-by-step explanation:
Area of the value of area
Researchers often enter a lot of data into statistical software programs. The probability of making zero to two errors per 1,000 keystrokes is 0.51, and the probability of making three to five errors per 1,000 keystrokes is 0.25. Find the probabilities (per 1,000 keystrokes) associated with each of the following.
at most 2 errors:
at least 3 errors:
at most 5 errors:
more than 5 errors:
Answer:
at least 3
Step-by-step explanation:
Instructions: Find the angle measures given the figure is a rhombus.
Please Help!
Answer:
30
Step-by-step explanation:
since this is rhombus 1 2 3 4 must be equal
|NP|=|MN|
so 180-120=60
60/2=30
Answer: All four angles (angle1,2,3,4) are 30 degrees each
===========================================================
Explanation:
A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).
Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.
This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.
Let's find the missing angle
M+N+P = 180 ... angles of a triangle add to 180
M+120+M = 180 ... plug in N = 120, replace P with M
2M+120 = 180
2M = 180-120 ... subtracting 120 from both sides
2M = 60
M = 60/2 .... dividing both sides by 2
M = 30
So N is also 30 degrees
------------------------
We've found that both angle 1 and angle 3 are 30 degrees each.
Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.
Therefore, we can say
angle 1 = angle 4 = 30 degrees
angle 2 = angle 3 = 30 degrees
Ramona went out with her 3 sisters, they spent $58 plus
9% tax on their meal. They also left a 15% tip. If they divided
up the bill evenly, how much did each of them spend?
Ramona went out with her 3 sisters, they spent $58 plus 9% tax on their meal. They also left 15% tip. If they divided up the bill evenly, how much did each of them spend?
Solution:[tex] \frac{58 + 58(9\% + 15\%)}{3} [/tex]
[tex] = \frac{58 + 58(0.09 + 0.15)}{3} [/tex]
[tex] = \frac{58 + 58 \times 0.24}{3} [/tex]
[tex] = \frac{58 + 13.92}{3} [/tex]
[tex] = \frac{71.92}{3} [/tex]
[tex] = 23.97[/tex]
Answer:Each of them did spend $23.97
#CarryOnLearning
#AnswerForTrees
#BrainlyBookSmart
Tony can type at a constant rate of 110 words every 2 minutes.
Write an equation for the number of words, W, Tony can type in T minutes.
Answer:
W = 55T
Step-by-step explanation:
He types 110 / 2 = 55 words every minute. Thus, W = 55T
please please please please
If f(x) = 9x -2 and g(x) =-2x?, what is the value of f(4) - 9(4)?
f(4)=9*4-2 =34 & g(4)= -2*4 =-8 then,
f(4)- g(4) = 34+8= 42
What is the opportunity cost of buying a $.75 soda every school day for three years
Answer:
$405
Step-by-step explanation:
What is n2+5 If n=5?
Is that cube or n just multiply to 2?
Answer:
15
Step-by-step explanation:
n is 5 so 5 times 2 equals 10 and plus 5 it equal 15
A={b,l,o,u,s,e} and U={a,b,c,d,e,f,g,h,i,j,k,l,m,n,o,p,q,r,s,t,u,v,w,x,y,z}.
Answer:
oof
Step-by-step explanation:
Blouse
The Alphabet
Please help it says im wrong im giving brainliest
Answer:
ohh
Step-by-step explanation:
Answer:
1:5
Step-by-step explanation:
It is asking you to simplify the ratio, although it gave the unsimplified ratio to you below the diagram.
1/5=3/15
HTH :)
A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly less than the mean rating for detergent B.
Answer:
B is the better detergent
Step-by-step explanation:
If A has a lower number on the 1-10 scale, that means on average it was closer to the lower end, or the least clean end. This means that A cleans worse than B., and B is better.
The two laundry detergents B cleans better.
Although the questions seems to be tricky at the begging because of a lot of numbers, but actually it is not.
Given to us in the question that, 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B.
Thus, we can say that the sample size for both detergent A and detergent B is same. Also, the sample is distributed randomly meaning the sample is unbiased (fair).
Also, as given the mean rating for detergent A is found to be significantly less than the mean rating for detergent B. And we know that the mean is the average of a set of given numbers.
Therefore, we can conclude that if detergent A has a lower mean meaning, it has cleaned the clothes with less effectiveness as compared to detergent B.
Hence, Out of the two laundry detergents, B cleans better.
To know more visit:
https://brainly.com/question/16967035
Over Fall break, Tory read 5 times as many pages as her brother and sister combined. Tory read 1840 pages and her brother read 200 pages. How many pages did her sister read? Write an equation and solve for the number of pages her sister read.
Answer
368
Step-by-step explanation:
1840÷5=368
Answer:
170,
Step-by-step explanation:
my explanation is commented on the other persons answer
Math took my sis phone to see if this works pls help!
Answer:
8+3*25, 83,2^3+3*5^2, are all equivalent
Step-by-step explanation:
the discount price of a hat is $24. whats the regular price
What is the slope to this?
Answer:
hozlatie
Step-by-step explanation:
PLEASE I NEED THIS ANSWER AND IM OUT OF SCHOOL FOR THE WEEKEND
Answer:
hate to break it to ya but their is no question-
Step-by-step explanation:
A what you need help with
Step-by-step explanation:
tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by
Answer:
The answert is "$0.007 / bottle".
Step-by-step explanation:
Please find the complete question in the attachment file.
[tex]\to R(x) =7.5x^{0.7}[/tex]
The average income:
[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]
The change rate on the average revenue:
[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]
when 81 bottles were produced , then the rate of change in average revenue
[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]
The average income is decreasing at rate = $0.007 / bottle
15x+98=105 What is the value of x and please show your work. :)
Answer:
15x+98=105
-98 -98
15x=7
/15 /15
x=7/15
Step-by-step explanation:
x=7/15
Paige was playing a trivia game where you gained points for correct answers and lost points for incorrect answers. At the start of round 3 she was at -700 points. During the round she answered eight 400 point questions correct and she answered nine 600 points questions incorrect. What was her score at the end of the round?
Answer:
7900 points
Step-by-step explanation:
Answer:
-2900 points
Step-by-step explanation:
8*400=3200
-700+3200=2500 points
9*600=5400
2500-5400= -2900 points
i dont smoke cause nobody want the smoke
Answer:
Points Yay Woop Woop
Step-by-step explanation:
Pointsssssss
Clare subscribes to an online music streaming service
for a yearly fee of $96. Starting next month, there will
be a 12% increase in the fee.
The ad for another music streaming service is shown
below. Should Clare switch? Explain.
Answer:
She should go with service 2 because it is, cheaper. Service 1 cost $107.52, but service 2 cost only $105.
Step-by-step explanation:
Cost now+increase$=new cost
(Part=percent*whole)
Increase=percent increase*cost now
i=12%*$96
i=0.12*96=$11.52
$96+11.52=107.52
Service two⬇️
8.72*12=$105
Yes Clare should switch to service 2 because; cheaper it costs only $105 which is lesser than $107.52
How to Calculate Yearly Fee?
To find the new cost, we will use the expression;
New Cost = Present Cost + increase
However,
Increase = percentage increase * present cost
Increase = 12% * $96
Increase = 0.12 * 96
Increase = $11.52
Thus;
New Cost = $96 + 11.52
New Cost = $107.52
For Service two;
We are told that digital streaming costs $8.75 per month. Thus;
Cost = 8.75 * 12
Cost = $105
Read more about Yearly fee at; https://brainly.com/question/25109150
#SPJ2
Write 3/5 as a percent. Remember it has to be out of 100 so first make an equivalent fraction with 100 as your bottom number and then you can make it into a percent. Here’s an example: 9/10 = 90/100 = 90%
Answer:
60%
Step-by-step explanation:
3÷5 =
0.6
0.6×100
=60%
An auditorium has 962 seats. There are 37 rows, each with the same number of seats. How many seats are in each row?
Answer:
26 seats in each row.
Step-by-step explanation:
Is a 39 Celsius body temperature higher than normal 98 Fahrenheit??
Yes or No
Answer:
Yes.
Step-by-step explanation:
According to medical science, a body temperature considered normal (that is, below fever) in degrees Fahrenheit is 98ºF, while its equivalent in degrees Celsius is 36.6ºC. Therefore, a body temperature of 39ºC is higher than 98ºF, being equivalent to 102.2ºF.
This is verified by applying the conversion formula from Celcius to Fahrenheit:
(39 x 9/5) + 32 = X
39 x 1.8 + 32 = X
70.2 + 32 = X
102.2 = X
Gabriel lives and works in Michigan, which has a flat state income tax of
4.25%. If his annual salary is $69,255 and he gets paid once a month, how
much is withheld from his gross income for state income tax each pay
period?
Answer:4,050
Step-by-step explanation:
Withholding Rate: 4.25% | Personal Exemption: $4,400 | 2019 Michigan Income Tax Withholding Tables. Withholding Rate: 4.25% | Personal Exemption: $4,050 | 2019 Michigan Income Tax Withholding Tables.
Find the arc length of the semicircle. 8
Answer:
π×8² =
201.0619298297
arc length formular = π ×r²
Solve. 3k -4 > 60 – k
Answer:
[tex]3k - 4 > 60 - k \\ = 3k + k > 60 + 4 \\ = 4k > 64 \\ = k > \frac{64}{4} \\ = k > 16[/tex]
Answer:
k > 16
Step-by-step explanation:
Solve it like an equation solving for k
Move the -4 to the other side by adding it to both sides.
3k -4 plus 4 > 60 plus 4 - k
You get 3k > 64 - k
now move the k from the right to the left by adding both sides by k
3k plus k > 64 - k plus k
You get 4k > 64
Now divide both sides by 4 so you get k alone on one side to solve for the inequality
4k/4 > 64/4
k > 16
what is 6 to the 8th power simplified??
hurry help me!!
Answer:
[tex]6^{8}[/tex]
Step-by-step explanation:
Di ako sure sa sagot ko.
(I'm not sure with my answer)