Answer:
[tex]A' = (0,20)[/tex]
[tex]B' = (16,12)[/tex]
[tex]C' = (8,4)[/tex]
Step-by-step explanation:
Given
[tex]A = (0,10)[/tex]
[tex]B =(8,6)[/tex]
[tex]C=(4,2)[/tex]
[tex]k = 2[/tex] --- scale factor
Required
The coordinates of A'B'C'
This is calculated as thus:
[tex]A'B'C' = ABC * k[/tex]
So, we have:
[tex]A' = (0,10) * 2[/tex]
[tex]A' = (0,20)[/tex]
[tex]B' = (8,6) * 2[/tex]
[tex]B' = (16,12)[/tex]
[tex]C' = (4,2)*2[/tex]
[tex]C' = (8,4)[/tex]
In a survey of 300 college graduates, 53% reported that they entered a profession closely related to their college major. If 9 of those survey subjects are randomly selected with replacement for a follow-up survey, what is the probability that 3 of them entered a profession closely related to their college major
Answer:
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
Step-by-step explanation:
For each graduate, there are only two possible outcomes. Either they entered a profession closely related to their college major, or they did not. The probability of a graduate entering a profession closely related to their college major is independent of other graduates. This, coupled with the fact that they are chosen with replacement, means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
53% reported that they entered a profession closely related to their college major.
This means that [tex]p = 0.53[/tex]
9 of those survey subjects are randomly selected
This means that [tex]n = 9[/tex]
What is the probability that 3 of them entered a profession closely related to their college major?
This is P(X = 3).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 9) = C_{9,3}.(0.53)^{3}.(0.47)^{6} = 0.1348[/tex]
0.1348 = 13.48% probability that 3 of them entered a profession closely related to their college major.
A 90 ounce bag of nuts has cashews and peanuts in it. The peanuts weight is 10 more than 3
times the weight of the cashews. Find the weight of the cashews and peanuts.
Answer:
20 ounces of cashews and 70 ounces of peanuts
Step-by-step explanation:
x+3x+10=90
4x+10=90
4x=80
x=20
Need help on this question
Answer:
Step-by-step explanation:
arc between cars = 360°/25 = 14.4°
θ = 14.4° × π/180 ≅ 0.2512 radian
r = 150/2 = 75 ft
s = rθ = 75×0.2512 = 18.84 ft
area of circle = πr² = 75²π ≅ 17,662.5 ft²
area of sector = 17,662.5/25 = 706.5 ft²
Find the volumes of the solids generated by revolving the regions bounded by the graphs of the equations about the given lines.
y = root x
y = 0
x = 3
the x-axis
the y-axis
the line x = 3
the line x = 6
Answer:
x-axis = [tex]\frac{9\pi }{2}[/tex]
y-axis = [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]
Line x =3 : [tex]\frac{44\sqrt{3} }{5} \pi[/tex]
Line x = 6 : [tex]\frac{84\sqrt{3}\pi }{5}[/tex]
Step-by-step explanation:
Given lines : y = √x
y = 0
x = 3
To determine the volumes generated we will use the disk method for each of the lines,
attached below is the detailed solution for line x =3 , same procedure will be repeated for each value of x and y to obtain the given results
The volume generated ( x axis )
= [tex]\frac{9\pi }{2}[/tex]
volume generated ( y _axis )
= [tex]\frac{4\pi }{5} .3(^{\frac{5}{2} } )[/tex]
Volume about x = 3
= [tex]\frac{44\sqrt{3}\pi }{5}[/tex]
Volume about x = 6
= [tex]\frac{84\sqrt{3}\pi }{5}[/tex]
please i will give you brainly -1,8÷9 I need step by step
Answer:
-0.2
I couldn't get step by step but hope this answer helps out a little...
(Do you need it for ur assignment?)
Step-by-step explanation:
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
-18/9 = 2, 9 goes into 18, 2 times, but a negative divided by a positive always = a negative number so the answer would come out to be -2.
however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative
I wasn't sure if the comma was a typo in your question but I Hope this helps :)
Mike did so well with his bike sale, he's going to Discount his helmets 15% off. If the Sale Price is $23.80, find the ORIGINAL PRICE of a helmet.
Answer:
$3.57
Step-by-step explanation:
Multiply $23.80 by %15
Change %15 to a decimal by multiplying it by 100.
0.15 x $23.80= $3.57
Consider △BTW as pictured below.
Find W.
Answer:
m<W: 23
Step-by-step explanation:
8x - 9 + 30x - 4 + 13x - 11 = 180
51x - 24 = 180
51x = 204
x = 4
m<W:
8x - 9
8(4) - 9
32 - 9
23
Which number produces a rational number when added to 1/5
Answer: 2/3
Step-by-step explanation:
Answer: -2/3
Step-by-step explanation:
Hope This Help?
Please Mark Me brainly!
Erin bought 4 jars of jelly and 6 jars of peanut butter for $19.32. Adam bought 3 Jars of jelly
and 5 jars of peanut butter for $15.67.
Use x for jars of jelly and y for jars of peanut butter, write the equation for either Erin or Jack.
DO NOT SOLVE
(Worth 10 points)
Here is your system of equations in two variables.
Equation for Erin:
4x + 6y = 19.32
Equation for Adam:
3x + 5y = 15.67
That's it.
thank you to whoever helps
(3,1) would be the right answer
I will send a pic to you
Answer:
agreed
Step-by-step explanation:
agreed...............................
ABCDEFGHIJKLMNOPQRSTUVWXYZ
is the table linear or not
Answer:
No, the table is not linear.
Step-by-step explanation:
Between the x and y there has to be a constant rate. There is no constant rate.
Question 8 I don’t get
Answer:
Y=4x
Y is total profita
X is how many she sells
Find the surface area of a cone that has a slant height of 6 inches and a base with a diameter of 3 inches.
Answer:
Step-by-step explanation:
radius r = 1.5 in
slant height ℓ = 6 in
lateral area LA = πrℓ
= π(1.5)(1.5)
= 2.25π
≅ 7.07 in²
base area BA = πr²
= π1.5²
≅ 7.07 in²
surface area SA = LA + BA
= 7.07 + 7.07
≅ 14.14 in²
-2(n+3)=13 help plz plz plz
Answer:
n = -9.5 or n = -19/2
Step-by-step explanation:
What is 5+5? Please help the lol
Answer:
10
Step-by-step explanation:
5+5=10
your answer is 10
Answer:
10
Step-by-step explanation:
1+1= 2
1+1 = 2
2+2= 4
4 + 1 = 5
5 + 5 = 10
A jar contains n nickels and d dimes. There is a total of 257 coins in the jar. The value of the coins is $17.35. How many nickels and how many dimes are in the jar?
Answer:
Here's what we know:
n + d = 20 (there are a total of 20 nickels and dimes)
.05n + .1d = 1.4 (total change equals $1.40)
There are a couple of ways to solve this. You can go the elimination method by multiplying the second equation by an amount to get rid of a variable, or we can go substitution by isolating a variable in the first equation. I'll go with elimination in this case:
-10(.05n + .1d = 1.4) this will cause the d-variable to equal 0:
n + d = 20
-.5n - d = -14
------------------
.5n = 6
n = 12
Now that we know n, we can solve for d:
12 + d = 20
d = 8
Check:
.05 * 12 + .1 + 8 = 1.4
.6 + .8 = 1.4
1.4 = 1.4
Step-by-step explanation:
A rectangular prism has a length of 3ft, a height of 6ft, and a width of 20ft. What is its
volume, in cubic ft?
Answer:
360
Step-by-step explanation:
To solve to volume you need to times the width, length, height. so 3 times 6 is 18 and 18 times 20 is 360.
X/23 = 21/34 round to hundredths place
Answer:
The answer is 14.19
Step-by-step explanation:
34 / 23 = 1.48
21 / 1.48 = 14.19
I hope this helps you! :D
Johnny had 600 red apples and 400 blue oranges, then his friend gave him 20 red bananas. He eats all of the bananas, throws away 200 of the blue oranges because he couldn't finish them all, and he fed 100 of the red oranges to his pet rock. How many pumpkin pies does he have now?
Answer choices:
8,000,000
No, he has 6000 bananas
I think he just ordered some offline
He has 300 red apples
Answer:
4 im not sure
Step-by-step explanation:
Consider the following polynomial.
2y9−y6+2+7y10
Identify the degree.
Answer:
degree- 10
Step-by-step explanation:
The degree is the largest exponent on the variable.
write the equation of a line parallel to y=3/2x-4 and has a Y intercept of -3
Answer:
one sec
Line that is parallel:
Step-by-step explanation:
SOMEONE PLEASE HELP!! I NEED TO GET THIS RIGHT
Answer:
middle
Step-by-step explanation:
What is radiant energy from the sun called
Answer:
Solar rays
Step-by-step explanation:
Either that or uv rays
Answer:
Electromagnetic Radiation
Step-by-step explanation:
4. Patti and her friends want to see one of
two movies. One movie starts in 1 day
2 hours 20 minutes. The other movie
starts in 1 day 4 hours 10 minutes. The
later movie starts at 5:00 P.M. At what
time does the earlier movie start?
Answer:
The earlier movie starts at 1610 (4:10 PM)
Step-by-step explanation:
The later movie starts at 1700 (5:00 PM), and is in 1 day, 4 hours and 10 minutes. That means the time is __:50. Additionally, it's in 4 hours. 1700 - 400 = 1300 (1:00 PM). Now we know the time is 1350 (1:50 PM) presently.
If it's currently 1:50 PM, and the earlier movie starts 2 hours from this time tomorrow, then it begins at 1350 + 200 = 1550 (3:50PM). Take into account that there's also another 20 minutes before the movie commences, it will be 1610 (4:10 PM).
Good luck!!
What expression is equal to 5,007.992?
The television show 50 Minutes has been successful for many years. That show recently had a share of 15, which means, that among the TV sets in use, 15% were tuned to 50 Minutes. An advertiser wants to verify that 15% share value by conducting its own survey, and a pilot survey begins with 15 households have TV sets in use at the time of a 50 Minutes broadcast.
Required:
a. Find the probability that none of the households are tuned to Lindsay and Tobias. (Round to three decimal places as needed)
b. Find the probability that at least one household is tuned to Lindsay and Tobias.
c. Find the probability that at most one household is tuned to Lindsay and Tobias.
d. If a most one household is tuned to Linday and Tobias, does it appear that the 15% share value is wrong? Why or wh not?
Answer- b
Step-by-step explanation:
its b
In a tennis tournament, 25% of Sarah’s serves were aces. Design a simulation to predict how many aces you expect Sarah to serve out of 50 serves.
HELP PLEASE I'LL GIVE BRAINLIEST!!!!!!!!!
Answer:
12.5
Step-by-step explanation:
u put the decimal at the end of 25 then u times it by 50 and there u get ur answer
hope this helps :D
Please Help i give brainies
Step-by-step explanation:
[tex] \sqrt{3} is \: between \: 1.73and1.74[/tex]
Buffer stock is the level of stock
Answer:
akuy3uwujwu
Step-by-step explanation:
uwoedihwo
Answer:
Safety stock inventory, sometimes called buffer stock, is the level of extra stock that is maintained to mitigate risk of run-out for raw materials or finished goods due to uncertainties in supply or demand.
HOPE IT HELPS...
HAVE A GREAT DAY : P
