Answer:
1,404,928 is the volume of a cube with a side length that measures 112 ft
Answer:
1,404,928 is the volume
You are throwing darts at a dart board. You have a chance of striking the bull's-eye each time you throw. If you throw 3 times, what is the probability that you will strike the bull's-eye all 3 times?
Answer:
Correct answers is
[tex] \frac{1}{216} [/tex]
Step-by-step explanation:
Given: The chances of striking the bull's-eye each time of throw =\frac{1}{6}
Since, if we throe dart on dart board , each event will be independent of the other.
Then, If we throw 3 times, what is the probability that we will strike the bull's-eye all 3 times is given by :-
[tex]p(strike \: bulls \: eye \: ) = \frac{1}{6} x \frac{1}{6} x \frac{1}{6} = \frac{1}{216} [/tex]
Hence, the probability that we will strike the bull's-eye all 3 times is 1/216
Answer:
1/216
Step-by-step explanation:
Solve the system of equations 7x - y = -13 and -3x - y = -3 by combining the equations
Answer:
The answer to your question is (-1, 6)
Step-by-step explanation:
Data
7x - y = -13 Equation l
-3x - y = -3 Equation ll
-Solve equation l for y
y = 7x + 13 Equation lll
-Substitute equation lll in equation ll
-3x - (7x + 13) = -3
-Solve for x
-3x - 7x - 13 = -3
-10x = 13 - 3
-10x = 10
x = 10/-10
x = -1
-Substitute x in equation lll
y = 7(-1) + 13
y = -7 + 13
y = 6
True or False
Interior Angle - Angle formed by 3 adjacent sides inside the polygon.
Select the appropriate response:
True
False
Answer:
False.
Step-by-step explanation:
it is an angle formed by 2 adjacent sides inside the polygon.
Answer:
False
Step-by-step explanation:
Interior angle is formed by 2 adjacent sides
3/4 of the students at Timber Elementary play sports. Of those students, 1/5 of them play soccer. What fraction of the students at Timber Elementary play soccer?
Answer:
3/20 of the students play soccer
Step-by-step explanation:
1. Divide the amount of students that play sports, 3/4 by the amount of those that play soccer, 1/5
2. 3/4 divided by 1/5= 3/20
Answer:
3/20
Step-by-step explanation:
Leigh drive 1470 km from smith falls ON to thunder bay ON she stopped 370 km from smith falls About what percent of her trip has she completed when she stopped
Answer:
75%
Step-by-step explanation:
Here, we are asked to calculate the percentage of a trip that has been completed by Leigh.
Firstly, we identify the total length of the trip, this is 1470km. She stopped 370km from her destination. The length of the distance traveled is 1470km - 370km = 1100km
Now we proceed to calculate what percentage of the journey is this.
We calculate this by placing it over the total length multiplied by 100%
That would be
1100/1470 * 100 = 74.82 approximately 75%
Martin has collected 18 U.S. stamps and 12 international stamps. He wants to display them in identical groups of U.S. and international stamps, with no stamps left over. What is the greatest number of groups Martin can display them in?
How do you simplify numbers with exponents
kira has a rope that is 5 meters long. she cuts a piece that is 1.51 meters long. how long is the remaining piece of rope
Answer:
3.49
Step-by-step explanation:
5-1.51=3.49
Answer:
3.49 meters long
Step-by-step explanation:
5-1.51 = 3.49
- If you need this further explained please let me know. I would be glad to help.
Find the solutions of the quadratic equation 14x^2+9x+10=0
Answer:
No real Solution
Step-by-step explanation:
Plug a=14, b=9, and c=10 into the quadratic formula, and you'll get
[tex]x=(-(9)±\sqrt{-479})/ 28[/tex]
since -479 is negative, you'll get an imaginary number.
Tony needs 16-inch pieces of gold chain to make each of 3 necklaces. He has a piece of chain that is 4 1/2 feet long. How much chain will he have left after making the necklaces?
Final answer:
After converting the chain length from feet to inches, Tony will have 6 inches of gold chain left after making three necklaces, each requiring 16-inch pieces.
Explanation:
Tony needs to determine how much gold chain he will have left after making three necklaces, each requiring 16-inch pieces. First, we need to convert the total chain length from feet to inches. Since 1 foot equals 12 inches, 4.5 feet would be 4.5 × 12 inches, which equals 54 inches. Now, we can calculate the total length of chain needed for the necklaces by multiplying the length of one necklace (16 inches) by the number of necklaces (3), which is 16 × 3 = 48 inches.
Subtracting the total chain used for the necklaces (48 inches) from the total length of chain available (54 inches) gives us the remaining length of chain. So, 54 inches - 48 inches = 6 inches of chain leftover after making the three necklaces.
Your math professor gives you a set of 10 problems and tells you that the final exam will consist of a random selection of 5 of them. If you figured out how to do 7 of the problems, what is the probability that you answer correctly (a) all 5 problems (b) at least 4 of the problems
Answer:
hi
Step-by-step explanation:
sue your math professor that professor is evil
A study was conducted looking at the association between the number of polyps in the colon and mean grams of fiber consumed per day based on a standard food frequency questionnaire. The Pearson correlation coefficient was 0.9 with a p-value of 0.003 and the Spearman correlation coefficient was 0.28 with a p-value of 0.049. Which form of correlation would be more appropriate to report and why?
Answer:
C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
Explanation:
The following multiple choice responses are provided to complete the question:
A) The Pearson correlation results should be reported because it shows a stronger correlation with a smaller p-value (more significant).
B) The Pearson correlation results should be reported because the two variables are normally distributed.
C) The Spearman correlation results should be reported because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
D) The Spearman correlation results should be reported because the p-value is closer to 0.0556.
Further Explanation:
A count variable is discrete because it consists of non-negative integers. The number of polyps variable is therefore a count variable and will most likely not be normally distributed. Normality of variables is one of the assumptions required to use Pearson correlation, however, Spearman's correlation does not rest upon an assumption of normality. Therefore, the Spearman correlation would be more appropriate to report because at least one of the variables does not meet the distribution assumption required to use Pearson correlation.
A ball is hit into the air with an initial velocity of 100 ft/s. Its height, h(t), after t seconds is given by the function h(t) = -16t² + 100t + 5. What is the ball's maximum height?
at maximum. dt/dh=0
if you differentiate you will get
-32t=-100
t=3.125
What is the relative minimum of the function?
Enter your answer in the box.
Answer:
-5
Step-by-step explanation:
The minimum is at the vertex. This is at (1, -5)
The minimum value is -5
Sarah used her calculator to work out the value of a number y .
The answer on her calculator display began.
7.8
Complete the error interval for y.
[......] ≤ y < [......]
The error interval for y is 7.8 ≤ y < 7.9.
Explanation:The error interval is determined by the decimal digits that will determine the value of y. Since the calculator display shows 7.8, y will be between 7.8 and the next smallest number, which will be 7.9. Therefore, the error interval for y is:
7.8 ≤ y < 7.9
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The error interval for y is [7.8, 7.9).
Explanation:To find the error interval for y, we need to consider the decimal place immediately after the given value on Sarah's calculator display. Since the given value is 7.8, we look at the digit after the decimal point, which is 0. If this digit is 5 or greater, we round up the previous digit. In this case, 0 is not greater than 5, so we do not round up. Therefore, the error interval for y is [7.8, 7.9).
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There are 16 tables set up for a banquet, of which 4 have red tablecloths.
What is the probability that a randomly selected table will have a red tablecloth?
Write your answer as a fraction or whole number.
The probability that a randomly selected table will have a red tablecloth is 1/4, since there are 4 red tablecloths out of 16 tables.
Explanation:The question asks for the probability that a randomly selected table will have a red tablecloth given that there are 16 tables and 4 have red tablecloths. To find the probability, we use the formula:
Probability (P) of choosing a red tablecloth = (Number of red tablecloths) / (Total number of tables)
Substituting the given numbers:
P(red tablecloth) = 4 / 16 = 1 / 4
Therefore, the probability is 1/4 or 0.25 when expressed as a decimal.
It is important to round answers to relative frequency and probability problems to four decimal places when required, but in this case, the fraction 1/4 is already as simple as it can be.
A plane has an airspeed of 134 km divided by h. It is flying on a bearing of 78 degrees while there is a 21 km divided by h wind out of the northeast (bearing 225 degrees). What are the ground speed and the bearing of the plane?
The ground speed of the plane is approximately 116.88 km/h, and its bearing is about 83.44°, given an airspeed of 134 km/h on a 78° bearing and a 21 km/h wind from 225°.
The plane's ground speed is approximately 116.88 km/h, and its bearing is roughly 83.44°. This calculation incorporates the plane's airspeed of 134 km/h at a bearing of 78° and a wind speed of 21 km/h from a bearing of 225°.
First, we decompose the velocities into horizontal and vertical components. For the plane's airspeed, the horizontal component is about 27.81 km/h, and the vertical component is around 131.04 km/h. Similarly, for the wind, the horizontal and vertical components are approximately -14.85 km/h each. By adding the horizontal components of the airspeed and wind, we get 12.96 km/h. Likewise, adding the vertical components yields 116.19 km/h.
Using these components, we calculate the resultant velocity vector's magnitude, approximately 116.88 km/h, using the Pythagorean theorem. The direction, or bearing, is computed to be approximately 83.44° using the inverse tangent function.
Therefore, the plane moves at a speed of about 116.88 km/h, slightly northeast of east, due to the combined effect of its airspeed and the wind.
How many batches of cookies can you make if you have 8 cups of flour and recipe calls for 3/4 per batch?
Answer:
10 batches i think, sorry if im wrong
Step-by-step explanation:
To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you would divide 8 by 3/4.
Explanation:To determine the number of batches of cookies you can make with 8 cups of flour and a recipe that calls for 3/4 cup per batch, you need to divide the total amount of flour by the required amount for each batch. So, you would divide 8 cups by 3/4 cup:
8 cups ÷ 3/4 cup = 8 ÷ 3/4 = 10 2/3 batches of cookies
Therefore, you can make approximately 10 and 2/3 batches of cookies.
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3x + 10 = 22
Solve for x
Answer:
x=4
Step-by-step explanation:
Step 1: Subtract 10 from both sides.
3x+10−10=22−10
3x=12
Step 2: Divide both sides by 3.
3x/3=12/3
x=4
if i can get brainliest that would be great
3 3/4 divided by 5/7
Answer:
5 1/4
Step-by-step explanation:
Dividing by a fraction is the same as multiplying by its inverse.
(3 3/4)/(5/7) = (15/4)/(5/7) = (15/4)·(7/5) = 21/4 = 5 1/4
_____
Many graphing calculators (and some scientific calculators) will do this mixed-number arithmetic for you.
The painting by itself is a rectangle with length 20 cm and width 16 cm. The painting and frame together form a larger rectangle with length 25 cm and width 20 cm Find the area of the frame.
Answer:
The area of frame is 180 square meters.
Step-by-step explanation:
We are given the following in the question:
Dimension of rectangular painting:
Length, l = 20 cm
Width, w = 16 cm
Dimension of frame:
Length, L = 25 cm
Width, W = 20 cm
We have to find the area of frame.
Area of rectangle =
[tex]A = l\times w[/tex]
Area of frame =
[tex]A-a\\=(L\times W)-(l\times w)\\=(25\times 20)-(20\times 16)\\=180\text{ square meters}[/tex]
Thus, the area of frame is 180 square meters.
The circumference of a circle is 16 pi ft.
What's the radius
Answer:
2.54648 ft
Step-by-step explanation:
r = 8/π (ft.) Therefore, the radius of the circle when its circumference is 16 feet is r ≈ 2.54648 ft. C = 2 (3.14159) (2.54648) ft :)
You are given the exponential function g(x) = 3 x . Which option below gives the formula for a new function h created by stretching g by a factor of 3 along the y-axis?
h(x) = 3x+1
h(x) = 3x-1
h(x) = x · 3x+1
h(x) = x · 3x-1
Answer:
A. [tex]h(x) = 3^{x+1}[/tex]
Step-by-step explanation:
Stretching means that original function is multiplied by a constant, which is equal to 3 in this case:
[tex]h(x) = 3 \cdot g (x)[/tex]
[tex]h(x) = 3\cdot 3^{x}[/tex]
[tex]h(x) = 3^{x+1}[/tex]
The answer is A.
Answer:
A
Step-by-step explanation:
Suppose a coffee cup has a diameter of 8cm and a height of 9cm. What is the volume of the cup ? (to the nearest whole number)
A) 81 cm^3
B) 226 cm^3
C) 452 cm^3
D) 1018 cm^3
Answer:
452 cm^3
Step-by-step explanation:
The volume of a cilinder is [tex]\pi (radius^{2})(height)[/tex]
The diameter of the cup is 8cm, the formula of the radius is [tex]\frac{diameter}{2}[/tex]
So the radius would be [tex]\frac{8}{2}[/tex] = 4cm
We change variables in the formula of the volume [tex]\pi(4^{2})(9)[/tex] = 144[tex]\pi[/tex] = 452cm^3
Answer:
i needed the same thing woa
Find the area of the shaded region. Round to the nearest hundredth where necessary. Remember: you are subtracting the areas.
Given:
The base of the given figure = 23.8 ft
Height of the parallelogram = 15 ft
To find the area of the shaded region.
Formula
[tex]A = A_{1} -A_{2}[/tex]where, [tex]A[/tex] be the area of the shaded region
[tex]A_{1}[/tex] be the area of the parallelogram.
[tex]A_{2}[/tex] be the area of the triangular part.
The area of triangle [tex]A_{2} = \frac{1}{2} bh[/tex] where, b be the base and h be the height.The area of the parallelogram [tex]A_{1} =( base)(height)[/tex]By Pythagoras theorem, [tex]hypotenuse^{2} = base^{2}+height^{2}[/tex]Now,
Putting, Base = 21, Hypotenuse = 23.8 we get,
[tex]Height^{2} = 23.8^{2}-21^{2}[/tex]
or, [tex]Height = \sqrt{566.44-441}[/tex]
or, [tex]Height = 11.2[/tex]
Therefore,
Area of the parallelogram [tex]A_{1} = (23.8)(15)[/tex] sq ft = 357 sq ft
Area of the triangle [tex]A_{2}[/tex] = [tex]\frac{1}{2}(11.2)(21)[/tex] sq ft = 117.6 sq ft
So,
The area of the shaded part = (357-117.6) sq ft = 239.4 sq ft
Hence,
The area of the shaded part is 239.4 sq ft.
Which simplified fraction is equal to 0.1ModifyingAbove 7 with bar?
StartFraction 9 Over 17 EndFraction
StartFraction 8 Over 45 EndFraction
StartFraction 17 Over 9 EndFraction
StartFraction 16 Over 90 EndFraction
Answer:
8/45
Step-by-step explanation:
The simplified fraction is equal to 0.1ModifyingAbove 7 with bar is StartFraction 17 Over 9 EndFraction, the correct option is C.
How to interpret the fraction?Suppose the fraction is proper (the numerator is smaller than the denominator).
Let it be
[tex]\dfrac{a}{b}[/tex]
Then, we can interpret it as:
[tex]\dfrac{a}{b}[/tex] = a parts out of b parts of a thing.
We are given that;
The fraction; 0.1ModifyingAbove 7 with bar
Now,
The number 0.1 is a repeating decimal, which means it has a repeating pattern of digits after the decimal point. To convert this decimal to a fraction, we can use the fact that:
0.1= 0.111= 1/9
So the simplified fraction that is equal to 0.1 is;
StartFraction 1 Over 9 EndFraction
StartFraction 9 Over 17 EndFraction can't be simplified further.
StartFraction 8 Over 45 EndFraction can be simplified to StartFraction 16 Over 90 EndFraction.
StartFraction 17 Over 9 EndFraction can't be simplified further.
StartFraction 16 Over 90 EndFraction can be simplified to StartFraction 8 Over 45 EndFraction.
Therefore, by fraction the answer will be StartFraction 17 Over 9 EndFraction.
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I need to know the lengths of MN, NP, and PM
Answer:
MN = 12 units
NP = 16 units
PM = 20 units
Step-by-step explanation:
You can find MN and NP by counting on the graph. To find PM you will need to use the formula a^2 + b^2 = c^2 ( ^ stands for exponent)
MN and NP will be a and b.
Example: 12^2 + 16^2 = c^2
Simplify.
Example:
144 + 256 = c^2
144 + 256 = 400
Then find the square root of 400 which is 20.
To check your work put all of the sides into the formula and it should be true.
Mason is having new tires put on his wheel chair. The tires are regularly 56, but this weekend, they are on sale for 25% off. Mason wants to know the sale price for the tires
Answer:
the tires are 42 dolars
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
25% × 56 =
(25 ÷ 100) × 56 =
(25 × 56) ÷ 100 =
1,400 ÷ 100 =
14
Susan owns a home that is worth $128,318.74, a 2005 truck worth $10,615.00, and has investments that total $4,459.16. Susan owes $93,987.74 on her mortgage, $2,874.46 in student loans, and $1,214.92 on her credit card. What is Susan's Net Worth?
Answer:
Net worth is defined as:
Assets - Liabilities.
Assets are what you own.
Liabilities are what you have to pay.
So, home + truck + investments are assets.
Likewise, mortgage + student loans + credit cards are liabilities.
Doing the math, Susan's net worth is
Assets - Liabilities
$143,392.90 - $98,077.12 =
$45,315.78
Susan's net worth is $45,315.78
Good luck!
Susan's net worth is calculated by subtracting her total liabilities (mortgage, student loans, and credit card debt) from her total assets (home, truck, and investments). Therefore, Susan's net worth is $45,315.78.
Explanation:The question is about calculating Susan's net worth. Net worth is calculated by subtracting the total liabilities from total assets. In Susan's case, her assets include her house, truck, and investments, which total to $143,392.90 ($128,318.74 for the house, $10,615.00 for the truck, and $4,459.16 for her investments). Her liabilities include her mortgage, student loans, and credit card debt, which sums up to $98,077.12 ($93,987.74 for the mortgage, $2,874.46 for the student loans, and $1,214.92 for the credit card debt). To calculate Susan's net worth, subtract total liabilities from total assets. Therefore, Susan's net worth is $45,315.78 ($143,392.90 - $98,077.12).
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If 30% of a number is 45, what is 4/5 of the number?
Answer: 4/5 of 45 is 36
Step-by-step explanation: If you were to divide 45 by 5 you would get 9. 9 is 1/5 of 45 so if you multiplied it by 4 you would 4/5 of 45 which is 36.
The ( 4/5 )th of the number is 120 and the equation is ( 30 / 100 ) N = 45 , where N is the number and N = 150
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the number be represented as N
A = 30% of a number is 45
Substituting the values in the equation , we get
( 30/100 ) N = 45 be equation (1)
Multiply by 100 on both sides of the equation , we get
30 N = 4500
Divide by 30 on both sides of the equation , we get
N = 4500 / 30
N = 150
Therefore , the value of N is 150
Now , ( 4/5 )th of the number be calculated as
Let the ( 4/5 ) of the number be = B
So , the equation will be
B = ( 4/5 ) x 150
B = 4 x 30
B = 120
Hence , the number is 150 and ( 4/5 ) th of the number is 120
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