To find the volume, we will use the formula;
V = πr² h
where v is the volume, r is the radius and h is the height
From the question, r = 9 h = 42 and π = 3.14
substitute the values into the equation
V = 3.14 x 9² x 42
= 3.14 x 81 x 42
=10682.28
V≈ 10682 ft³ to the nearest whole number
If a fair coin is tossed 5 times, what is the probability, rounded to the nearest thousandth, of getting at most 2 heads?
Probability to get at most 2 heads after flipping coin for 5 times is 1/2.
What is probability?Probability is the ratio of good outcomes to all possible outcomes of an event is known as the probability.
The number of positive results for an experiment with n outcomes can be represented by the symbol x.
The probability of an event can be calculated using the following formula.
Probability(Event) = Positive Results/Total Results = x/n
With a fair coin, there are \(2^{5}\) = 32 possible combinations of heads and tails after 5 flips.With 0 heads,5C0 = 5!/0!5! = 1 ways
get one head 5C1 = 5!/ 4!1! = 5 ways
To obtain precisely 2 heads,5C2 = 5!/ 2!3! = 10 ways
Obtain 3 heads,5C3 = 5!/ 3!2! = 10 ways
Total methods to gain at most 2 heads are 1+5+10 = 16.
Probability to get at most 2 heads is = ( total methods to gain at most 2 heads)/(total ways)
P(total methods to gain at most 2 heads) = 16/32 =1/2.
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3) (Infer) What would happen if two kinds of animals living in the same habitat had the same niche?
4) Why might an animal need to move to a different habitat?
I report people who add links in there answer or use safari
Have a good day! :)
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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Please help me with this!! Will give brainliest and thanks you! I need this by today!! PLEASE NO TROLL. :(
ALSO EXPLAIN plz.
Answer:
$144 interest
Step-by-step explanation:
SInce it is a simple interest you have to solve like this
Principal x Interest rate x term
so it will be
3,000 x 4.8% x 1
= 144$ interest in one year without any withdrawal.
According to the poster you have to invest $3000 or more, and 3,000 is the minimum principal amount so it will yield the minimum interest that you could get in a year.
I hope that this could help :)
Answer:
144 Dollars
Step-by-step explanation:
Apply the formula of simple interest:
total interest = Principal (3,000) . Interest rate in decimal ( 0,048) . Amout of time the rate was applied per year (1)
So, will be:
I = 3000 . 0,048 . 1
I = 144
3000 + 144 = 3144 is the total amount
The amout of interest is 144
What are the next two terms after -13, 8, -5, 3,-2
The next two terms in the sequence, -13, 8, -5, 3,-2 is 1 and -1.
What are the next two terms?The mathematical operations that would be used to determine the next two terms are addition and subtraction. Addition is used to determine the sum of two or more numbers. Subtraction is used to determine the difference between two or more numbers.
The first step is to determine the relationship between the numbers in the sequence. Looking at the numbers, it can be seen that the the difference between the first number and the second number gives the third number.
-13 + 8 = -5
-5 + 3 = -2
3 - 2 = 1
-2 + 1 = -1
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Find the value of x round to the nearest tenth
Answer:the answer is FREE COINS!
Step-by-step explanation:
A bike path is 12.5 miles. Dominic is 70% of the way to the end. How far is Dominic on the path?
The percentage of the distance Dominic is on the path is his distance
travelled as a fraction of the total distance when equivalent to 100.
The distance he has travelled on the path is 8.75 miles.
The given parameter are;
Length of Dominic's path = 12.5 miles
The length of the way Dominic is to the end = 70%
Required:
The distance Dominic has travelled on the path
The distance Dominic has travelled, D is 70% of 12.5 miles.
70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles
The distance Dominic has travelled on the path, D = 8.75 miles
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5 lb 8 oz to ounces need to know asap
Answer:
what do you need to know
Step-by-step explanation:
Answer:
88
Step-by-step explanation:
16+16=32
16+16=32
32+32=64
64+16=80
80+8=88
A container has a volume of 3.6 m3 . Convert the volume into cm3 .
Answer: 3 600 000 cm³
Step-by-step explanation: 1 m³ = 1000 dm³ = 1 000 000 cm³
pls help me i’ll give ty brainlist
\(\sqrt{25*7x^{4}*x^{1} } \\=\sqrt{25*x^{4}*7 *x^{1} } \\=\sqrt{25x^{4} } *\sqrt{7x}\\=5x^{2} \sqrt{7x}\)
Option B is the answer.
Answer: C
i hope you can see my handwriting
The nutritional chart on the side of a box of a cereal states that there are 87 calories in a 3/4 cup serving. How many calories are in 8 cups of the cereal?
Answer:
Total calories in 8 cup = 928 calories
Step-by-step explanation:
Given:
Calories in 3/4 cup of cereal = 87 calories
Find:
Total calories in 8 cup
Computation:
Total calories in 8 cup = 8 x 87 x [4/3]
Total calories in 8 cup = 928 calories
Find the distance between the two points in simplest radical form for (-6,1) and (-8,-4)
Answer:
Step-by-step explanation:
Δy =-4-1 = -5
Δx =-8-(-6) = -2
distance = √((Δx)^2+(Δy)^2) = √(4+25) = √29
Answer:
\sqrt{29}
Step-by-step explanation:
\sqrt{(-6+8)²+(1+4)²}
\sqrt{4+25}
\sqrt{29}
160 O SHO) A person bought 6,852 Japanese you from Nepal Rastra Bank for Rs 6,320. find exchange rote between japanese yen and Nepali rupess.
The exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
The exchange rate between Japanese Yen and Nepali Rupees is
1 JPY = 0.7184 NPR
Therefore, the exchange rate is 6,852 JPY = 6,320 NPR
Therefore, the exchange rate between Japanese Yen and Nepali Rupees is 0.7184 NPR per 1 JPY.
The exchange rate between Japanese Yen and Nepali Rupees is given by the following formula:
Exchange Rate = (Total Amount in Nepali Rupees/Total Number of Japanese Yen)
Exchange Rate = (Rs 6320/6852 Yens) = Rs 0.92 per Yen.
Therefore, the exchange rate between Japanese Yen and Nepali Rupees in this case is given by Rs 0.92 per Yen.
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Solve and check |2x + 1| = 9
Answer:
so the lines mean absolute value
which is the exact distance from zero that the number is
now
you subtract one from nine which makes it 2x=8
then
you divide nine by 2x which makes it
x=4
So the answer is four
if it helps mark me brainliest please
Answer:
-5,4
Step-by-step explanation:
I know that 2 numbers will work because it's an absolute function.
2x+1=9
2x=8
x=4
2(-5)+1=|-9| = 9
which color is it?? please help me
Answer:
It's the first one the royal blue one
Step by step explanation:
I used an app called desmos to plot the equation and the points it needed to pass through on a graph.
2x + 4y = 16
4x + 8y = -16 he chooses to eliminate the variable y
Answer:
These system of equations have no solution.
Step-by-step explanation:
We need to solve the system of equations
\(2x + 4y = 16\\4x + 8y = -16\)
by eliminating variable y
Let:
\(2x + 4y = 16--eq(1)\\4x + 8y = -16--eq(2)\)
Multiply eq(1) by 2 and subtract both equations
\(4x + 8y = 32\\4x + 8y = -16\\- \ - \ \ \ \ \ \ \ +\\---------\\0x+0y=48\\0\neq 48\)
As 0≠48
So, these system of equations have no solution.
You sailed 0.055 units to the left and found treasure at 0.085 units find where the ship started
I NEED HELP ASAP thank you so much!!
Solve the quadratic by factoring.
4x2 – 13x + 7 = 4
Answer:
x=11/13
Step-by-step explanation:
Let's solve your equation step-by-step.
(4)(2)−13x+7=4
Step 1: Simplify both sides of the equation.
(4)(2)−13x+7=4
8+−13x+7=4
(−13x)+(8+7)=4(Combine Like Terms)
−13x+15=4
−13x+15=4
Step 2: Subtract 15 from both sides.
−13x+15−15=4−15
−13x=−11
Step 3: Divide both sides by -13.
−13x/−13=−11/−13
x=11/13
Brainliest?
Write an equation of the line with a slope of -7 and y-intercept of 1
Answer:
y=-7x+1
Step-by-step explanation: Hope this helps!!
Can i have brainliest?
At a baseball game, a vender sold a combined total of 191 sodas and hot dogs. The number of hot dogs sold was 47 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.
The number of sodas sold at the baseball game was 119, while the number of hot dogs sold was 72.
Let's assume the number of sodas sold as 'x' and the number of hot dogs sold as 'y'.
According to the problem, the total number of sodas and hot dogs sold is 191, so we can write the equation:
x + y = 191 ...(1)
The problem also states that the number of hot dogs sold was 47 less than the number of sodas sold. Mathematically, we can express this as:
y = x - 47 ...(2)
To find the values of x and y, we can solve the system of equations (1) and (2). Substituting equation (2) into equation (1), we have:
x + (x - 47) = 191
Simplifying the equation:
2x - 47 = 191
2x = 191 + 47
2x = 238
Dividing both sides by 2:
x = 238/2
x = 119
Substituting the value of x back into equation (2):
y = 119 - 47
y = 72
As a result, the total amount of sodas sold is 119, and the total amount of hot dogs sold is 72.
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The regular price of a watch is $42.25. During a sale, the watch rang up for 29.95. What was the percent off the watch during the sale? (5 points)
a
The sale was a 29% increase.
b
The sale was a 41% increase.
c
The sale was for a 41% decrease.
d
The sale was for a 29% decrease.
Answer:
It was a 29% decrease in cost.
Which statement best summarizes the relationship between investments and productivity?
A. Companies with high levels of productivity are the most likely to need investment.
B. Companies must choose between high levels of productivity and large investments. C. Companies use investments to pay for services that improve their productivity.
D. Companies use investments to avoid the need to increase overall productivity.
The relationship between investments and productivity is that investments can help improve productivity, which is the correct option (C).
What are investments?Investments can be used to acquire new equipment, hire additional workers, or implement new technologies that can enhance a company's productivity.
In general, corporations' major source of revenue is productivity, which is the economic outcome of the company's specific operations, such as the sale of a certain product, the rental of a certain item, the supply of a certain service, and so on.
By investing in these areas, companies can improve their efficiency, reduce costs, and increase output.
Therefore, the relationship between investments and productivity is that investments can help improve productivity.
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Express the set x > − 4 using interval notation.
Answer:
the answer is `4 w
that is your answer
Find the number of degrees for each part of the museum visitors graph.
Answer:
54, 126, 108, 72
Step-by-step explanation:
1. Age 18 and under: 15% of whole circle, 360° * 0.15 = 54°
2. Age 18 - 44: 35%. 0.35 * 360° = 126°.
3. age 45 - 64: 30%. 0.3 * 360°= 108°
4. age 65 and over: 20%. 0.2 * 360° = 72°
Solve for the unknown values
X = ?
Y = ?
Step-by-step explanation:
So 95 is a linear pair. a linear pair adds up to 180 so 180 - 95 = 85
X = 85
y = 50
1. Find the perimeter of
15 cm
10 cm
18 cm
I need some help with this math question
The sizes of two matrices A and B are given. Find the sizes of the product AB and the product BA, if the products are defined. A is 4 × 2, B is 2 × 4.
Answer:
AB: size 4 x 4
BA: size 2 x 2
Step-by-step explanation:
When we want to multiply two matrices, we need first to check if the number of columns of the first matrix is equal the number of rows of the second matrix. Then, the resulting matrix would have the number of rows equal the number of rows of the first matrix, and the number of columns equal the number of columns of the second matrix.
That is, if we have a matrix A with dimensions a x b and a matrix B with dimensions c x d, to calculate the product AB we must have b = c, and the resulting product would have dimensions a x d.
Finally, if A is 4 x 2 and B is 2 x 4, we would have:
AB = (4 x 2) (2 x 4)
2 = 2 -> product is possible.
Dimensions of the result: 4 x 4
BA = (2 x 4) (4 x 2)
4 = 4 -> product is possible.
Dimensions of the result: 2 x 2
The size of a matrix is its dimension,
The size of AB and BA are 4 x 4 and 2 x 2, respectively
The dimension of matrix A is given as 4 x 2, while the dimension of matrix B is 2 x 4
Product AB
The dimension of matrix AB is the row of matrix A by the column of matrix B.
Matrix A has 4 rows, while matrix B has 4 columns.
So, the dimension of matrix AB is 4 x 4
Product BA
The dimension of matrix BA is the row of matrix B by the column of matrix A.
Matrix B has 2 rows, while matrix A has 2 columns.
So, the dimension of matrix BA is 2 x 2
Hence, the size of AB and BA are 4 x 4 and 2 x 2, respectively
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Josiah ate dinner at a restaurant and his bill was $15.75. He wanted to leave a 15% tip. How much tip did he leave?
Group of answer choices
$2.36
$18.11
$1.50
$0.15
Hence, He had to pay $ 18.11 for the tip on a restaurant bill.
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
Josiah ate dinner at a restaurant and his bill was $15.75,
He wanted to leave 15% tip,
Then He had to pay,
=15.75+15 % of 15.75
=15.75 + 0.15*15.75
=18.11
Hence, He had to pay $ 18.11 for tip on the restaurant bill.
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