Answer:
25
Step-by-step explanation:
A tech company bought a number of computers for its employees: 66 costing \$1600$1600 each, 44 costing \$1200$1200 each, and yy costing \$900$900 each, where yy is a positive odd integer. If the median price for all the computers purchased by the company was \$1200,$1200, what is the greatest possible value of yy
Answer:
5
Step-by-step explanation:
A tech company bought a number of computers for its employees: 6 costing $1600 each, 4 costing $1200 each, and y costing $900 each, where y is a positive odd integer. what is the greatest possible value of y
Solution:
The median of a group of numbers is the middle number when the group of numbers have been arranged either in ascending of descending other. The median of an even group of numbers is the average of the two most middle most numbers while the median of an odd group of numbers is the middle number.
Since there are 6 computers costing $1600, 4 computers costing $1200 each and y computers costing $900 each. Since y is odd, hence y + 6 + 4 would be odd and the median would be the middle number.
Given that the median price = $1200, this means that the middle of the group of numbers is $1200
900, 900, ..., 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
Since y is odd, for the median price to be $1200, y has to be 3 or 5.
If y = 3:
900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
median = $1200
If y = 5:
900, 900, 900, 900, 900, 1200, 1200, 1200, 1200, 1600, 1600, 1600, 1600, 1600, 1600
Median = $1200
Therefore the greatest possible value of y is 5
By knowing that the median must be $1,200, we will see that the greatest possible value of y is y = 9.
We know that the company bought:
6 computers costing $1,6004 computers costing $1,200y computers costing $900We know that y is a positive odd number.
We also know that the median is $1200, now we want to get the maximum value of y such that the median is $1200. (Remember that the median is the value of the middle element of the set).
Then we will have the distribution:
{ y elements, $1200, the other 3 $1200 computers plus the 6 $1600 computers}
Notice that y (the number of elements at the left of the median) must be equal to the number at the right of the median.
At the right of the median, we have a total of 9 computers, then y must be equal to 9.
The greatest possible value of y is 9.
If you want to learn more, you can read:
https://brainly.com/question/15923434
Make a conditional relative frequency table for the columns of movie type. Determine which statement has the strongest association.
Do you prefer watching a comedy, a drama, or a thriller movie?
Comedy Drama Thriller Row Totals
Males 35 12 75 122
Females 46 65 18 129
Column Totals 81 77 93 251
Males prefer comedy movies.
Females prefer drama movies.
Males prefer thriller movies.
Females prefer thriller movies.
The statement which has the strongest association is Males prefer thriller movies.
To obtain which statement has the strongest association, we calculate the probability of each given statement and select that which has the highest probability value.
• probability of Males prefer comedy movies :
n(males who prefer comedy) / n(males)
= 35 / 122 = 0.287
• probability of Females prefer drama movies :
n(Females who prefer drama) / n(females )
= 65 / 129 = 0.504
• probability of Males prefer thriller movies.
n(males who prefer prefer thriller ) / n(males)
= 75 / 122 = 0.615
• probability of Females prefer thriller movies.
n(females who prefer prefer thriller ) / n(females)
= 18 / 129 = 0.140
Comparing the probabilities obtained, Males prefer thriller has the highest probability, thus the strongest association.
A similar question can be found here : https://brainly.com/question/22520957
Answer:
i got it right this person above me is correct.
Step-by-step explanation:
I need help plz help me!!!!
rate da fits 1-10 which is da best don't report dude/girl
Answer:
9-10
Step-by-step explanation:
nice lol
choose the inequality that represents the following graph
Answer:
its a
Step-by-step explanation:
did it on khan 2021
HELP QUICKLY PLS
There are 65 boys and 60 girls at a school. Of these students, 26 girls and 19 boys play an instrument. What percent of the students at the school play an instrument?
I NEED HELP ASAP Fanks luv
Answer:
P = 9; A = 3
Step-by-step explanation:
a)
1. ATC is similar to GDO
2. 12 / 3 = 4
3. Triangle A has to be divided by 4 to figure out what Triangle B is
4. GD = 3, GO = 4, DO = 2
5. P = 3 + 4 + 2 + 9
b)
1. B = 2, H = 3
2. Plug into given equation (A = 1/2bh)
3. A = 1/2*2*3
4. 1/2 * 6
5. A = 3
Help me pls pls pls
A farm stand sells apples pies and jars of applesauce. The table shows the number of apples needed to
make a pie and a jar of applesauce. Yesterday, the farm picked 268 Granny Smith apples and 98 Golden
Delicious apples. How many pies and jars of applesauce can the farm make if every apple is used?
Needed for pie : 9 and 3
Needed for apple sauce : 4 and 2
Answer:
IF I am correct, 5
Step-by-step explanation:
98/ 18
1. Which of the following is an example of a phenotype?
A. DD
B. Dd
C. dd
D. green seeds
What is
3 1/2 + 3/4 =
What is the probability of pulling out a diamond card out of a standard deck and rolling a 5?
Answer:
1/24
Step-by-step explanation:
The probability of drawing a diamond is 1/4 and the prob. of rolling a 5 is 1/6. Multiply the two together
What is the area of 10 cm 3 cm 7 cm 18 cm
Answer: 10 times 3 equals 30 and 7 times 18 equals 126. 126 plus 30 is 156 is the answer
Step-by-step explanation:math
What is the slope of a line perpendicular to the line whose equation is: -2x+y=-7?
4-4x-9x how many terms
Answer:
3 terms
Step-by-step explanation:
4 4x and 9x
21< -4+5x Hurry I need it
I need help please I will give you brainliest
Answer:
Step-by-step explanation:
4a: x=729
4b: x=9/25
5a ln (2)
5b log2(24
help me plzz i beg you plzz i appreciate the help
Answer:
B? - Hopes it helps
Step-by-step explanation:
Happy early valentines Day! - p.s mark me brainly and another bessing comes ur way!
If you have 2/3 and 4/8 are they equivalent? No
Answer:
No is correct
Step-by-step explanation:
convert 2/3 into 6ths
4/6 = 8/12
so no, non of them equal to 4/8
Answer: No they are not
Step-by-step explanation:
PLEASE HELP!!!
question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)
(2x + 3)(4x − 1) = 8x^2 +10x − C
Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)
(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2
question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)
(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4
The value of C is -3 and the value of B is 5
ExpansionGiven the expression
(2x + 3)(4x − 1)
On expansion, ww will have:
(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3
(2x + 3)(4x − 1) = 8x^2 + 10x - 3
Hence the value of C is -3
For the expression (x + 2)(2x^2 + x − 1)
Expnd
(x + 2)(2x^2 + x − 1) = 2x^3 + x^2 - x + 4x^2 + 2x - 2
(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2
Hence the value of B is 5
Learn more on expansion here: https://brainly.com/question/13602562
Help pleaseeeeeee and good morning
Answer:
1a w=-9 1b s=20/7
2a x=12 2b v=11
3a b=10 3b a=9/5
4a c=1 4b x=2
Step-by-step explanation:
pls help soon make it in like 3 mins or less pls
If it took 30 minutes to give out 75 diplomas
last year, how long will it take to give
diplomas to the 90 graduates this year?
Hi king/quee/royalty. I have the answer: x=36
Encuentra el saldo de la cuenta crédito y débito. Debe 100.000 450.000 500.000 650.000 haber 250.000 300.000 50.000 20.000
Answer:
can u translate that to English... i have no idea what you just said
Step-by-step explanation:
LOL
I need Help please with this question. Giving brainliest
Answer:
Step-by-step explanation:
20
this is so the other person gets his/her/their well earned brainliest :)
simplify 0.4(5−2.5a)
Answer:
2 - a
Step-by-step explanation:
Our equation :
0.4(5 - 2.5a)
Distribute the 0.4 :
(5(0.4) - 2.5a(0.4))
2 - a
The value of a certain stock has decrease 5% per day for the past 10 days. The initial price of the stock was $30 per share. Which equation describes the value of the share price of the stock as a function of n the number of days elapsed during the 10 days period?
Your answer is:
V(n) = 30(0.95)^n
Why?
Well here is why!
Rate of decrease = 5%
Period, n = 10 days
Initial stock price = $30
Value of share price as a function of n:
Value, V(n)
Initial price = A
V(n) = Initial price(1 - rate)^n
V(n) = 30(1 - 0.05)^n
V(n) = 30(0.95)^n
Hope this helps if it did mark brainlist!
help please if you can :D
that 45% of adult Americans believe that the overall state of moral values in the United States is poor. (a) Compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans. (b) Interpret the mean. (c) Would it be unusual to identify 240 adult Americans who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans
Answer:
a) The mean is 225 and the standard deviation is 11.12.
b) It means that in samples of 500 adult Americans, the number of those who believe that the overall state of moral values in the United States is poor is expected to be around 225.
c) No, since 240 is less than 2.5 standard deviations from the mean.
Step-by-step explanation:
For each adult American, there are only two possible outcomes. Either they believe the overall state of moral values in the US is poor, or they do not. The adults are independent of other adults. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
In the binomial distribution, a value is considered to be unusual if it is more than 2.5 standard deviations from the mean.
45% of adult Americans believe that the overall state of moral values in the United States is poor.
This means that [tex]p = 0.45[/tex]
(a) Compute the mean and standard deviation of the random variable X, the number of adults who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans.
Sample of 500 means that [tex]n = 500[/tex]
Mean:
[tex]E(X) = np = 500*0.45 = 225[/tex]
Standard deviation:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{500*0.45*0.55} = 11.12[/tex]
The mean is 225 and the standard deviation is 11.12.
(b) Interpret the mean.
It means that in samples of 500 adult Americans, the number of those who believe that the overall state of moral values in the United States is poor is expected to be around 225.
(c) Would it be unusual to identify 240 adult Americans who believe that the overall state of moral values in the United States is poor based on a random sample of 500 adult Americans
2.5 standard deviations above the mean is:
225 + 2.5*11.12 = 252.8
So 253 or more would be unusual, 240 no.
3
Which algebraic expression correctly translates the phrase below?
35 times the difference of a number and 6
O A. 35 x (n – 6)
B. 35 x,(6 = n)
O C. 6 - n x 35
O
D. (35 x n) - 6
4
And
I NEED IT NOW PLEASEEEEEE
Answer : A. 35x (n-6)
Step-by-step explanation