What is the volume of the solid if a 6 inch (diameter hole is drilled all the way
Answers
Answer:
1,467.6 cm³
Step-by-step explanation:
Volume of the solid = volume of the rectangular prism - volume of the cylinder
= L*W*H - πr²h
L = 12
W = 10
H = 16
r = ½(6) = 3
h = 16
Plug in the values
Volume of the solid = 12*10*16 - π*3²*16
= 1,920 - 452.40
= 1,467.6 cm³
Related Questions
Slove for the value of a
Answers
Answer:
a = 11
Step-by-step explanation:
9a + 6 + 75 = 180
9a + 81 = 180
9a = 99
a = 11
What number must you add to the polynomial below to complete the square?
x2 + 15x
Answers
Answer:
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
Step-by-step explanation:
Perfect square binomial:
A perfect square binomial is given by:
[tex](a + b)^2 = a^2 + 2ab + b^2[/tex]
In this question:
We have that:
[tex]a^2 + 2ab + b^2 = x^2 + 15x + ?[/tex]
Since [tex]a = x[/tex], we have that:
[tex]2ab = 15x[/tex]
[tex]2b = 15[/tex]
[tex]b = \frac{15}{2}[/tex]
Completing the square:
The term that completes the square is [tex]b^2[/tex]. So
[tex]b^2 = (\frac{15}{2})^2 = \frac{225}{4}[/tex]
The number [tex]\frac{225}{4}[/tex] is added to the polynomial below to complete the square.
I need he answer pls {WIIL MARK BRAINLIST}
Answers
Answer:
B. {2, 5, 6, 9}
Step-by-step explanation:
Mean: the sum of all numbers divided by the amount of numbers.
Median: The number between the two middle numbers
-------------------------------------------------------------------------------------------------
Mean: {2 + 5 + 6 + 9} = 22 ÷ 4 = 5.5.
Median: The median of this data set will be 5.5 because it is in between 5 and 6
Your friend finds the volume of the rectangular prism. Is your friend correct? Explain your reasoning
Answers
Answer:
YES, my friend is correct.
Step-by-step explanation:
Formula for the volume of the rectangular prism = Length*Width*Height
Length = 7 mm
Width = 4 mm
Height = 2 mm
Plug in the values
Volume = 7*4*2
Volume = 28*2
= 56 mm³
Therefore, my friend is correct.
A roulette wheel has 383838 slots, of which 181818 are red, 181818 are black, and 222 are green. In each round of the game, a ball is tossed in the spinning wheel and lands in a random slot. Suppose we watch 777 rounds of this game, and let RRR represent the number of rounds where the ball lands in a red slot.
Answers
Answer:
Of the 777 rounds of the game in about 368 the ball will land in a red slot.
Step-by-step explanation:
Since a roulette wheel has 383838 slots, of which 181818 are red, 181818 are black, and 222 are green, and in each round of the game, a ball is tossed in the spinning wheel and lands in a random slot, supposing we watch 777 rounds of this game, to determine the approximate number of rounds where the ball lands in a red slot, the following calculation must be performed:
383838 = 100
181818 = X
181818 x 100/383838 = X
18,181,800 / 383838 = X
47.3684 = X
100 = 777
47.3684 = X
47.3684 x 777/100 = X
36,805.24 / 100 = X
368.05 = X
Therefore, of the 777 rounds of the game in about 368 the ball will land in a red slot.
You are a school photographer taking individual and class pictures for 2 classes of 21 students each. On average, each individual picture takes 3 minutes and a class picture takes 10 minutes. About how long should it take you to take all of the pictures? A 1 hour 3 minutes B 1 hour 13 minutes C 2 hours 6 minutes D 2 hours 16 minutes E 2 hours 26 minutes
Answers
Answer:
C 2 hours
Step-by-step explanation:
hope it's helpful
thank you
A theater sold 465 tickets for the morning show and 576 tickets for the evening show. The theater makes $16 for each ticket sold. How much money did the theater make selling tickets for the morning show? ANSWE QUICKKK
Answers
1,041x16=16,656
16,656
Hope this helps :D
A beach volleyball court is 9 meters wide and 17 meters long. The rope used for the boundary line costs $4.00 per meter. How much would it cost to buy a new boundary line for the court?
Answers
Since the court is 9 meters wide we would have to multiply that by 4 because each meter is 4$
The court has two stone hoops. each is 15 feet high on the wall. A player is 6 feet away from a hoop. what's the diagonal distance from his feet to the hoop.
Answers
Answer:
17 feet
Step-by-step explanation:
a² + b² = c²
a² + 6² = 15²
a² + 36 = 225
a² = 189
a = 17
Four students used a stopwatch to see how fast they could run around the perimeter of the playground they recorded their times in the chart below
Answers
Answer:
C : Duane
Step-by-step explanation:
Your welcome
Customary American Units of Weight
1 pound = 16 ounces
1 ton = 2,000 pounds or 32,000 ounces
Convert:
130 ounces = pounds ounces
Answers
Answer:
1
Step-by-step explanation:
Which statement is true?
Group of answer choices
An equilateral triangle is never an acute triangle.
An isosceles triangle is sometimes a scalene triangle.
An acute triangle is always an equilateral triangle.
A equilateral triangle is always an isosceles triangle.
Answers
Answer:
An equilateral is always an isosceles triangle.
Step-by-step explanation:
Manesh is putting new tile on a kitchen counter. Each sheet of tile will cover 1.5 ft squared. How many sheets of tile will Manesh need to cover the whole counter?
Answers
Answer:
I will try my best to help
Step-by-step explanation:
Need help on this please
Answers
Area of the sector = 90/360 ×πr^2
=1/4 ×3.142×6×6
=1/4×113.112
=28.278kilometers square
Approximately 28kilometers square
In the map below, Side P Q is parallel to Side S T.
Triangle P Q R. Side P Q is 48 kilometers and side P R is 36 kilometers. Triangle S R T. Side R T is 81 kilometers.
What is the distance between S and T? If necessary, round to the nearest tenth.
21.3 km
60.8 km
108 km
117 km
answer C.
Answers
Answer:
C.
Step-by-step explanation:
for a March past competition on sports day the house captain of one house cut 25 pieces of ribbon each 1/2 metre in length.what was the length of ribbon cut altogether
Answers
Answer:
not lenguague spanish
Step-by-step explanation:
that bad
What is the sum? Complete the equation.
8+(-18) =
Answers
I’m pretty sure that’s the answer of the equation
expand : log3(x^3/81y^2)
Answers
Answer:
Use rules of logarithms to expand.
2
log
3
(
x
)
−
4
−
4
log
3
(
y
)
Step-by-step explanation:
A researcher is testing a claim that the mean wing span of bald eagles mean wing span is 22ft. He takes a simple random sample of 40 bald eagles and gets a sample mean of 24.6ft and a sample
standard deviation of 3.5ft. Find the test statistic, t=
Answers
Three less than two times a number is 55. What is the number?
Answers
26
step-by-step explanation:
3 - 2n = 55
-3 -3
-2n = 52
/-2 /-2
n = 26
Answer:26
Step-by-step explanation:
The County Fair features rides, exhibitions, and games of chance. Luca decides to play Wheel of Letters. To play the game, contestants spin a wheel with 26 equal sections, lettered A through Z. If the pointer lands on any letter in the phrase “COUNTY FAIR,” the contestant wins a prize.
Part B:
Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain.
Answers
Answer:
woow
Step-by-step explanation:
Answer:
Step-by-step explanation:
cheese
Find the amount of wood trim needed to frame a circular window with a diameter of 1.75 ft. Use 3.14 for n.
Answers
Answer:
2.40 ft I believe
Step-by-step explanation:
divide diameter by two
put 3.14 time diameter divided by two and square it
Pls pls pls pls help pls
Answers
Answer:
only 5
Step-by-step explanation:
Select Parameter or Statistic to classify each statement.
1.) 85% of those surveyed were in favor of bike lanes.
Parameter or Statistic
2.) Each member of the soccer team has an average of 2 jerseys.
Parameter or Statistic
3.) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Parameter or Statistic
4.) The golf team's average score is 79.
Parameter or Statistic
Answers
Answer:
1) Statistic
2) Parameter
3) Statistic
4) Parameter.
Step-by-step explanation:
Parameter: is a number that describes the whole population.
Statistic: is a number that describes a sample.
The difference is:
50% of the cats are nice (parameter, because talks about all the cats)
out of 100 cats surveyed, 39 are nice (statistic, because talks about a sample of 100 cats)
Then:
1) 85% of those surveyed were in favor of bike lanes.
This only refers to the surveyed people, so this only refers to a sample (and not the population that this sample represents) then this is a statistic statement.
2) Each member of the soccer team has an average of 2 jerseys.
In this case, we are talking about the whole population (the soccer team) then this is a parameter
3) Of the 100 swim teams surveyed across America, 23 practice 10 hours a week.
Here the information is about the sample (only 100 swim teams). So here the correct option is statistic.
4) The golf team's average score is 79
Here the information is about the average score for the entire golf team, so this information is about all the population in the golf team, then in this case the correct option is parameter.
Answer:
Statistic
Parameter
Statistic
Parameter
Step-by-step explanation:
i took the test :)
4/5 of the magnets in George's collection are flags. 1/2 of those flags are U.S. flags.
What fraction of George's magnets are U.S. flags?
Answers
Answer: 2/5 are U.S. flags
4/5 divided by 1/2 = 0.4, which is equivalent to 2/5.
Ms. Wilson's class is choosing a fiction book to read together. The students voted for their
favorite type of fiction book.
Favorite type of fiction book
Type Frequency
Fantasy
6
Mystery
3
Realistic
7
Historical
2.
Adventure
7
Historical fiction received the fewest votes. What percent of students voted for historical
fiction?
%
Answers
Answer:
[tex]\%H = 8\%[/tex]
Step-by-step explanation:
Given
See attachment for table
Required
The percentage of historical
From the table, we have:
[tex]Historical = 2[/tex]
and
[tex]Total = 6+3+7+2+7[/tex]
[tex]Total = 25[/tex]
So, the percentage of historical is:
[tex]\%H = \frac{Historical}{Total} * 100\%[/tex]
This gives:
[tex]\%H = \frac{2}{25} * 100\%[/tex]
[tex]\%H = \frac{200\%}{25}[/tex]
[tex]\%H = 8\%[/tex]
Answer:
8%
Step-by-step explanation:
Erin uses a spinner divided into four equal sections to decide which drink she’ll have with her lunch. The sections represent water, milk, lemonade, and tea. If she spins the spinner three days in a row, what is the probability that she drinks lemonade one day, tea one day, and water one day? Complete the steps below to find the sample space and solve the problem. PART A - Create a list of all the possible outcomes for three days of drink selections. Use the abbreviations W, M, T, and L to represent water, milk, tea, and lemonade. PART B - Based on the list you created in part A, how many possible outcomes are there? PART C - What is the probability that Erin drinks lemonade one day, tea one day, and water one day? PART D - What is the probability that Erin drinks water two days and lemonade one day?
Answers
Answer:
Part A
W W W M W W T W W L W W
W W M M W M T W M L W M
W W T M W T T W T L W T
W W L M W L T W L L W L
W M W M M W T M W L M W
W M M M M M T M M L M M
W M T M M T T M T L M T
W M L M M L T M L L M L
W T W M T W T T W L T W
W T M M T M T T M L T M
W T T M T T T T T L T T
W T L M T L T T L L T L
W L W M L W T L W L L W
W L M M L M T L M L L M
W L T M L T T L T L L T
W L L M L L T L L L L L
Part B
There are 64 possible outcomes. The sample size is 64.
Part C
To find the probability that Erin drinks lemonade one day, tea one day, and water one day, consider all the cases in which L, T, and W occur one time. Because the order doesn't matter in this scenario, these six outcomes from the list represent the desired event: W T L, T W L, T L W, W L T, L W T, and L T W.
The size of the sample space is 64. So, the probability that Erin drinks lemonade one day, tea one day, and water one day is 3/32.
Part D
To find the probability that Erin drinks water on two days and lemonade one day, we consider all the cases in which two Ws and one L occur. Because the order doesn't matter in this scenario, these three outcomes from the list represent the event: W W L, W L W, and L W W.
The size of the sample space is 64. So, the probability that Erin drinks water two days and lemonade one day is 3/64
Step-by-step explanation:
PLS help ASAP DUE IN 20 MINUTES I CANT FIGURE IT OUT
Answers
Answer:
x=8
Step-by-step explanation:
if you multiply 6 by 8 and subtracted by 3 it will equal 45
Element X is a radioactive isotope such that every 6 years, its mass decreases by a half. Given that the initial mass of a sample of
Element X is 46 grams, write a function to model the mass of the element.
Answers
Find the length of side x in simplest radical form with a rational denominator.
Answers
Answer:
8
Step-by-step explanation:
sin Θ = opp / hyp
Θ = 60
opp = 4
hyp = x
sin 60 = 4 / x sin 60 = 0.5 or 1/2
1/2 = 4 / x
x/2 = 4
x = 8