Part 1
The snow melts at 2.5 inches per hour. After 2 hours, 2*2.5 = 5 inches has melted overall. We started with 15 inches, so there are 15-5 = 10 inches of snow left after 2 hours.
Answer: 10 inches of snow==================================================
Part 2
Let t be the number of hours that have elapsed. Because the snow melts at a rate of 2.5 inches per hour, this means after t hours, 2.5t inches of snow melts away. Subtract this from the 15 inches we start with to get 15-2.5t. This expression is the same as -2.5t+15
Answer: Either 15-2.5t or -2.5t+1512 lightbulbs are tested to see if they last as long as a manufacturer claims they do three lightbulbs failed a test two light bulbs are selected at random without replacement find the probability that both light bulbs failed the test
Using the hypergeometric distribution, it is found that there is a 0.0455 = 4.55% probability that both light bulbs failed the test.
The bulbs are chosen without replacement, and this is why the hypergeometric distribution is used to find the probability.
Hypergeometric distribution:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. N is the size of the population. n is the size of the sample. k is the total number of desired outcomes.In this problem:
12 bulbs, thus [tex]N = 12[/tex]3 failed the test, thus [tex]k = 3[/tex].2 are selected, thus [tex]n = 2[/tex].The probability that both failed the test is P(X = 2), thus:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 2) = h(2,12,2,3) = \frac{C_{3,2}C_{9,0}}{C_{12,2}} = 0.0455[/tex]
0.0455 = 4.55% probability that both light bulbs failed the test.
A similar problem is given at https://brainly.com/question/24826394
Cho tam giác ABC vuông tại A có cạnh BC=10 AC=8 tính cạnh AB
Answer:
AB = 6
Step-by-step explanation:
Áp dụng định lý Pytago, ta có:
AB^2 + AC^2 = BC^2
=> AB = [tex]\sqrt{BC^{2}-AC^2 }[/tex]
[tex]=\sqrt{10^2 - 8^2} \\= \sqrt{100 - 64} \\= \sqrt{36} \\= 6[/tex]
A car is traveling at 65 mi/hour. What is the car's speed in feet per second?
Answer:
65 mph = 95.3 feet per second
The sum of two consecutive odd numbers is 1408. What are the numbers?
Put the smaller number first comma then the larger number.
Answer:
703,705
Step-by-step explanation:
divide 1408 by 2
add one for one number
subtract one for the other
Please help me translate this Hindi Grammar Notes into English
Step-by-step explanation:
kind of sentencesIndia is a great countryLakshmi was bitten by Rahmankind of sentencebasis of their meaningsbasis of their constructionsbasis of their construction sentences are three typessimple sentencefor example the sky is bluecompound sentencefor example the plane which I take in that is blue in colourcomplex sentencefor example the pain which I take in tomorrow that is blue in that colour is blue in type......
There are 2304 students sitting in the auditorium in such a way that each row contains as many students as the number of rows. How many rows are there in the auditorium?
Answer:
48
Step-by-step explanation:
[tex]\sqrt{2304}[/tex] = 48 * 48
To have the same number of rows and students, it shall be each row contains 48 students and 48 rows overall
help please !! geometry
Synthetic Division x^3+9x^2-11x-13
Answer:
You can't synthetic divide since there's no dividend. As you can't factor it so I figure you must've forgot to include something or there's no solution.
Quick I need Helpppp!!
Triangle EFT is congruent to triangle JKL. What is KL, in units
Answer:
KL = 6 units.
Step-by-step explanation:
Congruent means the same or similar.
Hope this helps!
i am never able to do these, their so confusing yet SO easy- please help!
Answer:
a) independent: area to be painted in sq ft
dependent: amount of paint needed in gallons
b) independent: amount of milligrams
dependent: amount of sleep
Step-by-step explanation:
Easy tip to remember that is almost always right:
Your X variable is always independent, and your Y variable is always dependent.
If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"
Which variable depends on your other variable? Would help you find your dependent variable.
It makes sense that, the number of paint you need depends on how much sq ft you are painting.
Answer:
a) Independent variable: x (area to be painted)
Dependent variable: y (amount of paint needed)
b) Independent variable: x (amount of medication)
Dependent variable: y (amount of sleep)
Step-by-step explanation:
Independent variables are variables that do not depend on other variables to determine their values.
Dependent variables are variables that depend on other variables to determine their values.
A term may be written in index form to?
a) Make calculation easier
b) Represent large numbers
c) Show repeated multiplication
d) All the above
Answer:
A.make calculation easier
Matt's pool table is 3 feet wide and 9 feet long. Matt wants to replace the felt on the pool table. The felt costs $4.00 per square foot. How much would it cost in total to replace the felt on the pool table?
Answer:
$108
Step-by-step explanation:
3X9= 27square foot. Then you multiply 27 by 4, which equals $108
Need help asap pls pls pls
Answer:
why do you want to know
Step-by-step explanation:
hahahahahahahaha
8.5 inches to centimeters
Answer:
21.59cm
Step-by-step explanation:
Multiply 8.5 by 2.54 to convert in. to cm.
1 3x5 x 2 1x3 i don't know what eles to right but what is the answer
i need an explanation what....wajfasjf
please help me!!!!!
Answer:
The equation is 39=3r-6
Step-by-step explanation:
Let x = # of years from the start of the Great Depression to the first Presidential election of Nixon
Let r = Raul's age
The question gives us what x equals so...
x=39
Now we just turn the sentence into an equation.
"The number of years from the start of the Great Depression to the first Presidential election of Nixon [(x)] is six years less than three times Raul's age [(3r-6)]"
Remove the icky words...
x=3r-6
replace x with what it equals (39)
39=3r-6
Now you can go on to olve it
Overal Raul is only 15 :)
-16>x divided by 2
Solve for x.
Answer:
x < -32
Step-by-step explanation:
If 1 1/4 kilo of meat is 320 pesos. How much will it need to purchase 5 1/2 kilos of meat?
Answer:
450 pesos
Step-by-step explanation:
5 kilograms is equal to 400 pesos.
5/12 would be 450 pesos.
solve −2 1/4⋅(−2 1/3)
a −5 1/4
b −4 1/1
c 4 1/12
d 5 1/4
Answer:
5 1/4
The answer is d (d 5 1/4)
Answer: D
Step-by-step explanation:
[tex]-2\frac{1}{4}[/tex] × [tex]-2\frac{1}{3}[/tex]
= [tex]\frac{-9}{4}[/tex] × [tex]\frac{-7}{3}[/tex]
= [tex]\frac{3}{4}[/tex] × [tex]7[/tex]
= [tex]\frac{21}{4}[/tex] or [tex]5\frac{1}{4}[/tex]
please give me a brainliest answer
1/(2+i)²
Solve this question....
[tex]\large\underline{\sf{Solution-}}[/tex]
Given complex number is
[tex]\rm \longmapsto\:\dfrac{1}{ {(2 + i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{1}{4 + {i}^{2} + 2 \times 2 \times i} [/tex]
[tex]\rm \: = \: \dfrac{1}{4 - 1 + 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} [/tex]
[tex]\rm \: = \: \dfrac{1}{3+ 4i} \times \dfrac{3 - 4i}{3 - 4i} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{ {3}^{2} - {(4i)}^{2} } [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16 {i}^{2} } [/tex]
We know,
[tex] \rm \longmapsto\:\tt{ {i}^{2} \: = \: - \: 1 \: } \\ [/tex]
So, using this, we get
[tex]\rm \: = \: \dfrac{3 - 4i}{9 -16( - 1)} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{9 + 16} [/tex]
[tex]\rm \: = \: \dfrac{3 - 4i}{25} [/tex]
[tex]\rm \: = \: \dfrac{3}{25} - \dfrac{4}{25}i[/tex]
HELPPPPPPPPPPPPPPPPPPPPPPPPPP (I know the one selected isn’t right FYI)
Answer:
The correct choice is option a. -3x^2 + xy + 3x - y + 2
Step-by-step explanation:
(xy + 3x + 2) - (3x^2 + y)
= xy + 3x + 2 - (3x^2 + y)
= xy + 3x + 2 - 3x^2 - y
= -3x^2 + xy + 3x - y + 2
The correct answer of the given choices i think it would be A
Where is the velocity negative?
E
B
A
G
Hello! The answer is
D-F
The V is negative when the velocity graph goes down. Hope this helps!
#HaveAnAmazingDay
[tex]GraceRosalia[/tex]
A town is roughly in the shape of a rectangle * 600 m by 270 m. What is the approximate area of the town in hectares?
Answer:
Area in Hectares = 16.2 hectaresStep-by-step explanation:
Area of a rectangle: length × width
A = 600 × 270
A = 162,000 meters
162,000 meters ⇒ 16.2 hectares
HELPPPP MMEEE
PLEASE
Answer:
x2 and 7x
Step-by-step explanation:
thats correct
x2 + 7x =18
50 POINTS!
PLEASE HELP THIS MAKES NO SENSE AT ALL!! IM BEING TIMED
Answer: the last one i think if i'm wrong then im so sorry
HELP ME PLEASE I AM DESPERATE THIS IS ALMOST DUE!!!!!
What is the slope for this graph?
Answer: The answer is 2
Step-by-step explanation:
Please mark me as Brainiest
Answer: The answer is 2
Step-by-step explanation:
The scale of a blueprint is 1 in.=20 ft.
The length of a wall in the blueprint is 2.5 in. What is the length of the actual wall?
What is the blueprint length of an entrance that is 5 ft wide?
Answer:
1) 50 feet
2) 0.25 or 1/4 inches
Step-by-step explanation:
If one inch is equal to 20 feet, then multiply 20 by 2.5 to find the length of the actual wall
5 feet is a fourth of 20 feet, and since 1 inch is equal to 20 feet, it would also be a fourth of an inch
Solving Equations with the Variable on Each Side
Justify each step.
a.
b.
1. 4k-3=2k + 5
4k-3-2k= 2k +5 - 2k
2k-3 = 5
2k-3+3=5+3
2k=8
2k_8
2 2
k=4
C.
d.
e.
f.
Answer:
See below
Step-by-step explanation:
4k - 3 = 2k + 5 Given
4k - 3 -2k = 2k + 5 - 2k Addition (added -2k to both sides )
4k - 2k - 3 = 2k - 2k + 5 Commutative (changed the order of the terms)
2k - 3 = 0 + 5 Addition/ Identity
2k - 3 = 5 Addition
2k - 3 + 3 = 5 + 3 Addition (added 3 to both sides)
2k + 0 = 8 Addition
2k = 8 Identity
Help me plz and thank you