Answer:
2.5
Step-by-step explanation:
A block of ice has a length of 10 inches and a width of 7.5 inches. Therefore, the height of the ice is 5 inches.
How to find the volume of the cuboid?Let the three dimensions(height, length, width) be x, y,z units respectively.
Then the volume of the cuboid is given as
[tex]V = x \times y \times z \: \rm unit^3[/tex]
Eastern Ice Company sells 10-pound blocks of ice in the shape shown. The volume of the block of ice is 375 inches cubed.
A block of ice has a length of 10 inches and a width of 7.5 inches.
Let z be the height of the ice.
Then the volume of the is given as
[tex]V = x \times y \times z \: \rm unit^3[/tex]
[tex]375 = 10 \times 7.5 \times z \: \rm unit^3\\\\z = 5[/tex]
Therefore, the height of the ice is 5 inches.
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Según datos de una empresa aseguradora de vehículos, dos de cada cinco accidentes son provocados por conductores en estado de ebriedad, ¿cuál es la probabilidad de que tres de nueve accidentes seleccionados al azar hayan sido ocasionados por conductores ebrios?
Answer:
La probabilidad es [tex]0.2508[/tex]
Step-by-step explanation:
Sabemos que según datos de una empresa aseguradora de vehículos, dos de cada cinco accidentes son provocados por conductores en estado de ebriedad. Entonces, si definimos el evento
[tex]A[/tex] : ''Accidente provocado por un conductor en estado de ebriedad''
La probabilidad de este evento es
[tex]P(A)=\frac{2}{5}[/tex] (dato del problema)
Por lo tanto, en cada accidente que ocurre, la probabilidad de que ocurra el evento [tex]A[/tex] es [tex]\frac{2}{5}[/tex] .
Ahora bien, si suponemos cada uno de estos accidentes independientes y con probabilidad de ocurrencia ''p'' constante a lo largo del tiempo, estamos ante la presencia de un proceso Bernoulli.
Dado un proceso de Bernoulli, definimos la variable aleatoria discreta ''[tex]X[/tex]'' como el número de éxitos del proceso Bernoulli para un número fijo de ensayos.
En este caso vamos a definir
[tex]X[/tex] : ''Número de accidentes provocados por conductores en estado de ebriedad de un total de n accidentes''
Se dice que [tex]X[/tex] tiene distribución binomial de parámetros ''n'' y ''p''.
Lo denotamos [tex]X[/tex] ~ Bi (n,p)
En nuestro ejercicio el valor de ''n'' es 9 (son los ensayos que fijamos) y el valor de ''p'' es [tex]\frac{2}{5}[/tex] (definimos como ''éxito'' que el accidente sea provocado por un conductor en estado de ebriedad).
Ahora bien para calcular probabilidad vamos a utilizar la siguiente fórmula :
[tex]P(X=x)=(nCx)p^{x}(1-p)^{(n-x)}[/tex] (I)
'' [tex]P(X=x)[/tex] '' es la probabilidad de que la variable aleatoria [tex]X[/tex] asuma el valor x. En particular, buscamos [tex]P(X=3)[/tex] que es la probabilidad de que de nueve accidentes (fijados), tres sean provocados por conductores en estado de ebriedad.
'' [tex](nCx)[/tex] '' es el número combinatorio definido como
[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]
Reemplazando los datos en la ecuación (I) :
[tex]P(X=3)=(9C3)(\frac{2}{5})^{3}(\frac{3}{5})^{6}=0.2508[/tex]
La probabilidad pedida es [tex]0.2508[/tex]
What is the distance between the top of the fishing pole 8 1/2 feet and the fish 4 1/2 feet
Answer:
4 feet
Step-by-step explanation:
Why? because we can simply just type it and look at it in a more simple way
[tex]8\frac{1}{2}[/tex] - [tex]4\frac{1}{2}[/tex]= 4
Because 4 is the difference.
4 is the difference between [tex]8\frac{1}{2}[/tex] and [tex]4\frac{1}{2}[/tex].
Hope this helps!
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A fraction is a way to describe a part of a whole. The distance between the top of the fishing pole and the fish is 13 feet.
What is a Mixed Fraction?A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. A mixed fraction can be converted as,
2 1/2
= (2×2 + 1)/2
= 5/2
= 2.5
Given that the distance between the surface of the water and the top of the fishing pole is 8 1/2 feet, while the distance between the surface of the water and the fish is 4 1/2 feet.
Therefore, the distance between the top of the fishing pole and the fish is the sum of the distance between the surface of the water and the top of the fishing pole and the distance between the surface of the water and the fish.
Now, the distance between the top and the fish is,
Distance = (8 1/2) feet + (4 1/2) feet
Converting Mixed fractions to fractions,
= (8×2 + 1)/2 + (4×2 + 1)/2
= 17/2 + 9/2
= (17+9)/2
= 26/2
= 13 feets
Hence, the distance between the top of the fishing pole and the fish is 13 feet.
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Sarah began the school week with $2.60 in her lunch account. She deposited $20 on Monday, and then spent $4.75 each day that week for lunch. what equation was the balance in her lunch account on the end of the day on Friday?
Answer:
17.85
Step-by-step explanation:
2.60+20= 22.60
22.60-4.75= 17.85
Equations are used to find the unknown quantity.
The equation which represents the total balance in Sarah lunch account on the end of the day on Friday i[tex]x=22.6-19\\x=3.6[/tex]
Thus the total balance in her lunch account on the end of the day on Friday is 3.6.What is equality equation?
The equation which represents the equality between the two expressions. Equations are used to find the unknown numbers.
Given information-
Sarah began the school week with $2.60 in her lunch account.
The amount deposited by the Sarah is $20 on Monday,
The amount spent by the Sarah each day from Thursday to Friday is $4.75.
Suppose the total balance in her lunch account on the end of the day on Friday is [tex]x[/tex].
As the amount in her account was $2.60, when she began the school. The $20 was then deposited. Thus,
[tex]x=2.60+20[/tex]
Now she spent $4.75 each day for the next four days. Thus,
[tex]x=2.60+20-4(4.75)[/tex]
Hence this is the equation which represents the total balance in her lunch account on the end of the day on Friday.
Solve the equation,
[tex]x=22.6-19\\x=3.6[/tex]
Thus the total balance in her lunch account on the end of the day on Friday is 3.6.
Hence,
The equation which represents the total balance in her lunch account on the end of the day on Friday i[tex]x=22.6-19\\x=3.6[/tex]
Thus the total balance in her lunch account on the end of the day on Friday is 3.6.Learn more about the equality equation here;
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solve the square root of 245 please
it can't be in no decimal.
Answer: About 16
Step-by-step explanation: Since the answer is a decimal 15.652... I rounded up to the nearest whole number which is 16.
The pre-image △ABC is translated 5 units to the right and two units up to get the image △DEF.
Which statement is TRUE?
AB¯¯¯¯¯≅DE¯¯¯¯¯
AB¯¯¯¯¯∥DE¯¯¯¯¯
∠BAC≅∠EDF
All of the statements are true.
Answer:
∠BAC≅∠EDF
Step-by-step explanation:
I NEED HELPPP ASAPPPPP I WILL GIVE BRAINLIESTTTT!!!!!!
a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.
A triangle has the vertices of A(2,3), B(-2,2) and C(-3,5). What are the
coordinates of the vertices of the image after the translation (x,y) — (x + 4, y -
3)?
help me
Answer:
A the answer is super hard
You run 3 1/4 miles as part of your routine. You run 2/5 on a hill. You run down the slope for the last 1/2 mile of the hill. How many miles do you run down the slope?
Answer:
1 5/8
Step-by-step explanation:
Sorry read it wrong
The problem states that the last HALF of the run was down the slope, therefore the answer would be 1/2 of the total run, 3 1/4.
Plz answer the question ASAP
Answer:
4 units
Step-by-step explanation:
Answer:
4.0 units
Step-by-step explanation:
Please help me answer this question please
Answer:
BCA
Step-by-step explanation:
Answer:
it is the 2x angle
Step-by-step explanation:
70
Tommy currently has a cell phone plane for text messaging with Phone-Phriends which charges $0.20 per text message. Tommy is considering switching to
an unlimited plan which costs $49 per month. How many messages each month must Tommy send for it to be cost effective to switch to the unlimited
plan?
Answer:
49÷0.20= 245
He has to be able to have a number of text each month to be able to switch so 0.20 for each text he sends each month so you have to divide from 49.
If a video is getting 450 views every 9 days, how long will it take to reach 1,000 views?
Answer:
90%
Step-by-step explanation:
ax+b=c
Solve for x
Please include work
Answer:
x=c/a - b/a
Step-by-step explanation:
subtract b
divide by a
A rectangle has a perimeter of 42 after tripling its length, the new perimeter is 94. Find the original length and width
Answer:
Step-by-step explanation:
List all of the solutions.
42=
94=
The level of water in a bathtub rises 5 inches in 2 hours. Which of the following represents the rate of change of the water level with respect to the time?
A. 5 inches/ 2 hours
B. 2 inches/5 Hours
C. 5 hours/ 2 inches
D. 2 hours/ 5 inches
Use an addition or subtraction formula to find the exact value of sin(19π/12)=−\sqrt{A}(\sqrt{B}+1)/4.
A,B=?
Answer:
[tex]B = {(\frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}})}^{2} + 1[/tex]
Step-by-step explanation:
[tex]sin(19π/12)=−\sqrt{A}(\sqrt{B}+1)/4A \to \\ \\ sin( \frac{19π}{12})=− \frac{\sqrt{A}(\sqrt{B}+1)}{4A}
\\ \\ \sqrt{A}(\sqrt{B}+1) = 4A \times sin( \frac{19π}{12}) \\ \\ (\sqrt{B}+1) = \frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}} \\ \\ B = {(\frac{4A \times sin( \frac{19π}{12})}{\sqrt{A}})}^{2} + 1[/tex]
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A company decides to give ID numbers to its employees that consist of one letter followed by three digits. How many different such ID numbers are there?
Answer:
25,974 possible ID combinations
Step-by-step explanation:
Since the ID card will consist of one letter and three digits to find the total number of possibilities we simply multiply the number of letter options that exist by the total amount of numbers each letter can be followed by. There are a total of 26 letters in the English Alphabet. Since each letter is followed by only 3 digits, then the largest number that can exist after the letter is 999. Therefore, we simply multiply 26 by 999 to find the total number of possible outcomes.
26 * 999 = 25,974 possible ID combinations
The number of different such ID numbers are there should be 25,974 possible ID combinations
Calculation of the no of different ID numbers:Since the ID card comprise one letter. Also, there are total of 26 letters in the English Alphabet.
So here we can do that we simply multiply 26 by 999 that comes 25,974.
Therefore, The number of different such ID numbers are there should be 25,974 possible ID combinations
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Edna purchased a table for
$403.20. This amount already included the sales tax. If the price of the table before sales tax was $360.00, what percent was the sales tax?
Answer:
1.12
Step-by-step explanation:
I divided 403.20 and 360.00.
Hope this helps
HELP ME PLEASE!! This is due today!! Use kcf and show ur work plzz!
Road
James has9 cups of blueberries. He uses 5 cups to make a pie. He uses another 2 cups to make muffins.
How many cups of blueberries does James have left?
Enter your answer as a mixed number in simplest form by filling in the boxes.
8
1
cups
8
1
2
3
4
6
Answer:
he has 2 cups left
Step-by-step explanation:
(9) 5+2=7(9-7=2)
Need help with question 16 and I need work please and thanks be correct
what is 1000 x 6000
Answer:
6,000,000
Step-by-step explanation:
What is 80•2? I need help!!
Answer: 160
Step-by-step explanation:
80 x 2 = 160
Solve for k:
K/2 plus 1/2=3
Answer:v
vvre
Step-by-step explanation:
Answer:
K should be 5
Step-by-step explanation:
1/2 is .5 which leaves k/2 you need 2.5 to make three and 2.5*2 is 5 5/2 is 2.5 plus 5 is 3 therfore k is 5
What number is five steps to the right of -100?
Answer:
The answer is negative -95
What is the solution to the following system?
3x + 3y + 3z = -12
5x + 2y + 2z = -17
2x-4y - z = -20
The table shows the cost of taking a rideshare trip. Which description correctly reflects the way the charges are calculated?
where is the table and the descriptions
A city is putting in a sand pit at the park. The length is an even, one-digit whole number, and
the width is 6.7 feet. Which explains the least and greatest possible areas for the sand pit?
Answer:
Step-by-step explanation:
Answer:
Listen the number is an EVEN one-digit, so that means all odd numbers that are one-digit numbers are out so that means number A is wrong so its between B, C, and D. If you read the answer throughully through B, C, and D you will find one of the 2 x 6.7 is wrong. To find the correct answer to 2 x 6 and if the sum of 2 x 6 is equal to your 2 x 6 you have the correct answer! Btw I forgot the exact answer but I know it was either B or C.
Step-by-step explanation:
Please help, solve for x
2/x = 30/-5
Answer:
-1/3
Step-by-step explanation:
You multiply the -5 by 2
Then divide the result by 30.
Determine both intercepts be sure of your answer