Answer:
78
Step-by-step explanation:
7098 / 91 = 78
hope i helped
A football field is 120 yards long by 53 yards wide if a player runs diagonally from one corner to the opposite corner. How far will they travel?
Answer: They will travel about 131.18 yards.
Step-by-step explanation:
Given : A football field is 120 yards long by 53 yards wide.
We know that a football field is rectangular in shape.
Each interior angle in a rectangle is a right angle.
Then, by Pythagoras theorem, we have
(Diagonal)² = (Length)² + (Width)²
If a player runs diagonally from one corner to the opposite corner, then the length of the diagonal is given by :-
[tex](\text{Diagonal})=\sqrt{(120)^2+(53)^2}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{14400+2809}\\\\\Rightarrow\ (\text{Diagonal})=\sqrt{17209}\\\\\Rightarrow\ (\text{Diagonal})=131.183078177\approx131.18\text{ yards}[/tex]
Hence, they will travel about 131.18 yards.
Final answer:
The distance a player would travel running diagonally across a football field that is 120 yards long and 53 yards wide is approximately 131.183 yards.
Explanation:
The student asked about the distance a player would travel if they ran diagonally from one corner to the opposite corner of a football field that is 120 yards long and 53 yards wide.
To solve this, we need to apply the Pythagorean theorem in which the length and width of the football field will be the legs of the right triangle and the diagonal the player runs will be the hypotenuse.
The formula for the Pythagorean theorem is a² + b² = c², where a and b are the lengths of the legs and c is the length of the hypotenuse.
Therefore, the calculation will be as follows:
(120 yd)² + (53 yd)² = c².
Simplifying,
14400 yd² + 2809 yd² = c².
Adding these together gives us 17209 yd², and taking the square root of that gives us the length of the diagonal, which is the distance the player will travel.
Thus, c = √17209 yd2 ≈ 131.183 yards.
102 chairs at 6 tables find the unit rateat 6 tables . Find the unit rate
The unit rate is 17 chairs per table.
Step-by-step explanation:
Given,
Total number of chairs at 6 tables = 102 chairs
Number of tables = 6
Unit rate in terms of tables = [tex]\frac{Total\ chairs}{Number\ of\ tables}[/tex]
Unit rate in terms of tables= [tex]\frac{102}{6}[/tex]
Unit rate in terms of tables = 17
The unit rate is 17 chairs per table.
"The correct unit rate is 17 chairs per table.
To find the unit rate, we need to divide the total number of chairs by the number of tables. The question states there are 102 chairs and 6 tables. The unit rate is the number of chairs per table, which can be calculated as follows:
Unit rate = Total number of chairs / Number of tables
Unit rate = 102 chairs / 6 tables
Now, we divide 102 by 6 to find the unit rate:
Unit rate = 102 / 6
Unit rate = 17
Therefore, the unit rate is 17 chairs per table. This means that at each table, there are 17 chairs."
Deon estimated the length of a room is his house to be 13 ft. The actual length of the room is 11 ft.
Find the absolute error and the percent error of Deon's estimate. If necessary, round your answers to the nearest tenth.
absolute error = [lt
The absolute error is 2 feet and percent error is 18.18%
Step-by-step explanation:
Given,
Estimated length = 13 feet
Actual length = 11 feet
Absolute error = Estimated length - Actual length
Absolute error = 11 - 13 = -2 feet
Absolute error = 2 feet
Percent error = [tex]\frac{Absolute\ error}{Exact\ value}*100[/tex]
Percent error = [tex]\frac{2}{11}*100[/tex]
Percent error = [tex]\frac{200}{11}=18.18 \%[/tex]
The absolute error is 2 feet and percent error is 18.18%
The absolute error is 2 feet and the percent error is approximately 18.2%
Explanation:The absolute error in Deon's estimate can be found by subtracting the actual value from the estimated value and taking the absolute value. So that's |13 - 11| which equals 2 feet.
The percent error can be found by dividing the absolute error by the actual value and then multiplying by 100 to convert it into a percentage. That's (2 / 11) * 100 which equals approximately 18.2%. If we round to the nearest tenth, we get 18.2%.
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Identify the property used in each step of solving the inequality 3x-2>-4.
Addition property of equality
Division property of equality
Solution:
Given inequality is:
3x - 2 > 4
[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]
Here, Addition property of equality is used
When the same amount is added to both sides of an inequality, then the inequality is still true
3x - 2 + 2 > 4 + 2
3x > 6
[tex]\mathrm{Divide\:both\:sides\:by\:}3[/tex]
Here, Division property of equality is used
When we divide both sides of an equation by the same nonzero number, the sides remain equal.
[tex]\frac{3x}{3}>\frac{6}{3}\\\\x > 2[/tex]
Thus the property used in each step of solving the inequality is found
| If f(x) = 7 + 4x and g(x)= 7, what is the value of (f/g)(5)
Answer:
27/7.
Step-by-step explanation:
(f/g)x = (7 + 4x) / 7
(f/g)(5) = (7 + 4(5)/ 7
= 27/7.
Yo sup??
f(x)=7+4x
g(x)=7
f/g(5)
=7+4*5/7
=27/7
Hope this helps
Find the surface area, will give Brainliest
Answer:
96 units^2
Step-by-step explanation:
Base: 6 × 6 = 36
Faces: 5 × 6 = 30 (×2 = 60)
Add: 36 + 60 = 96
Answer:
96 units^2
Step-by-step explanation:
The Base: 6 × 6 = 36
The Faces: 5 × 6 = 30 (×2 = 60)
Then Add: 36 + 60 = 96
Hope to help.
If X || Y and Y || Z, then _____
A) A || B
B) X || Z
C) X⊥A
D) A⊥Z
Answer:
B) X || Z
Step-by-step explanation:
Hope it helps you in your learning process.
Select all that apply.
What types of triangles have at least two acute angles?
right
obtuse
equilateral
isosceles
Answer:
Step-by-step explanation:
An obtuse triangle must contain an obtuse angle and two acute angles. An equilateral triangle must be 60 degrees in every corner, and thus there are 2+ acute angles. An isosceles triangle can have two angles that are 30 degrees (thus two acute), and a 120 degree angle
Find the approximate side length of a square game board with an area of 136in^2
Answer:
68in
Step-by-step explanation:
Divide the area by 2 because a= l x w and squares sides are all the same.
PLEASE MARK BRAINLIEST! :]To find the approximate side length of a square game board with an area of 136in^2, you can use the formula for the area of a square and take the square root of the given area. The approximate side length is 11.66 inches.
Explanation:To find the approximate side length of a square game board with an area of 136in2, we can use the formula for the area of a square, which is length * length. In this case, we need to find the square root of 136 to get the side length. The square root of 136 is approximately 11.66 inches.
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Write an equation in slope intercept form of the line that passes through (-1,2) and has a slope of 1/2.
Answer:
[tex]y=\frac{1}{2} x+2.5[/tex]
Step-by-step explanation:
I graphed the equation on the graph below.
If this answer is correct, please make me Brainliest!
Can anyone help me solve this?
Answer:
a- 16/100
b- 1/6
c- not sure
Step-by-step explanation:
What is the radius of a sphere with the volume of 972pi mm
[tex]\large\text{Hey there!}[/tex]
[tex]\mathsf{The\ sphere\ formula\ is: \dfrac{4}{3}\pi\times r^3}[/tex]
[tex]\mathsf{Now, that\ we\ have\ our\ formula\ let's\ solve\ for\ the\ equation}[/tex]
[tex]\mathsf{So,\ first\ \bf{\underline{DIVIDE}}}\mathsf{\ both\ of\ your\ sides\ by\ \pi}[/tex]
[tex]\mathsf{\dfrac{4}{3}r^3=972}\\\\\rightarrow\ \mathsf{r^3=972\times\dfrac{3}{4}}\\\\\mathsf{972\times\dfrac{3}{4}=729}\\\\\mathsf{\rightarrow\ r^3=729}[/tex]
[tex]\mathsf{\sqrt[\mathsf{3}]{\mathsf{729}} = 81}\\\\\mathsf{\sqrt{81}=81\div9=9}\\\\\mathsf{\sqrt{81}=9}\\\\\mathsf{r=9}[/tex]
[tex]\boxed{\boxed{\mathsf{\bf{Answer: \boxed{\mathsf{radius = \bf{9}}}}}}}\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\dfrac{\frak{LoveYourselfFirst}}{:)}[/tex]
V
Harlon recorded this set of data, which contains an outlier.
163, 97, 184, 199, 169, 175
What is the range of this set of data?
12
97
102
172
Answer:5
Step-by-step explanation:
Answer:
102
Step-by-step explanation:
To find the range of a set of data, you have to put all of the values in order from smallest to largest. Then you subtract the smallest and largest value to find your answer.
199 - 97 = 102
At the park there is a pool shaped like a circle with diameter 22 yd. A ring-shaped path goes around the pool. Its width is 6 yd.
We are going to give a new layer of coating to the path. If one gallon of coating can cover 5 yd", how many gallons of coating do we need? Note that coating
comes only by the gallon, so the number of gallons must be a whole number. (Use the value 3.14 for n).
Answer:
106 gal
Step-by-step explanation:
step 1
Find the area of the path
we know that
The area of the path is given by the formula
[tex]A=\pi r_2^{2} -\pi r_1^{2}[/tex]
[tex]A=\pi [r_2^{2} -r_1^{2}][/tex]
where
r_2 is the radius of the pool plus the width of the path
r_1 is the radius of the pool
we have
[tex]r_1=22/2=11\ yd[/tex] ---> the radius is half the diameter
[tex]r_2=11+6=17\ yd[/tex]
substitute
[tex]A=\pi [17^{2}-11^{2}][/tex]
[tex]A=168\pi\ yd^2[/tex]
assume
[tex]\pi =3.14[/tex]
[tex]A=168(3.14)=527.52\ yd^2[/tex]
step 2
Find the gallons of coating needed
Divide the area of the path by 5
so
[tex]527.52/5=105.5\ gal[/tex]
Round up
therefore
106 gal
To calculate how many gallons of coating are needed, we find the area of the path by subtracting the area of the pool from the total area covered. This equals to 527.52 yd². As each gallon of coating covers 5 yd², we need 105.504 gallons. However, since the paint is sold in whole gallons, we round it up to 106 gallons.
Explanation:To determine how many gallons of coating are needed, we first need to calculate the area of the ring-shaped path around the pool.
The pool is a circle with a diameter of 22 yd, so its radius is 11 yd. The path is around this pool and has a width of 6 yd. Therefore, the outer radius of the path is 11yd (radius of pool) + 6yd (width of path)=17 yd. The area of a circle is given by the formula πr² where r is the radius and π is a constant, approximately equal to 3.14.
So, the area of the outer circle is 3.14 × (17 yd)² = 907.46 square yards, and the area of the inner circle (pool) is 3.14× (11 yd)² = 379.94 square yards. The area of the path is the difference of those two areas, 907.46 yd² - 379.94 yd² = 527.52 yd².
Since one gallon of the coating can cover 5 sq yd, the number of gallons required is the total area divided by the area that one gallon can cover, which is 527.52 yd² / 5 yd²/gallon = 105.504 gallons. Since paint comes in whole gallons, you'll need to round up to the next whole number, which is 106 gallons.
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About 53.6% of the students in class got an A. If 15 students got an A, how many students were in the class?
Answer:
Step-by-step explanation:
56.3% of the student got A
15 students got A
Then,
Let the total number of students be x
56.3% of x= got A
56.3/100 × x =15
0.563x=15
Then x=15/0.563
x=26.6
The number of students can't or be 26.6 so let approximate it
Then, x=27
Therefore 27students are in the class
What fractions are equivalent to 20/22
Answer:
10/11
Step-by-step explanation:
You can find this answer by dividing the top and bottom numbers by 2.
Final answer:
Equivalent fractions of 20/22 can be found by simplifying it to 10/11 or by scaling it up, such as 40/44 or 60/66, by multiplying the numerator and denominator by the same whole number.
Explanation:
To find fractions equivalent to 20/22, you can simplify or scale the fraction up by multiplying both the numerator and the denominator by the same nonzero whole number. An equivalent fraction is one that represents the same value when both the top number (numerator) and the bottom number (denominator) are multiplied or divided by the same value.
Simplifying 20/22 means finding the greatest common divisor of 20 and 22, which is 2. So, dividing both by 2, we get 10/11. To scale up, you can multiply both the numerator and the denominator by any nonzero whole number, such as 2, to get 40/44, or 3 to get 60/66, and so on. Each of these fractions represents the same part of a whole as 20/22.
Tyree is determining the distance of a segment whose endpoints are A(–4, –2) and B(–7, –7).
Step 1: d = StartRoot (negative 7 minus (negative 7)) squared + (negative 4 minus (negative 2)) squared EndRoot
Step 2: d = StartRoot (negative 7 + 7) squared + (negative 4 + 2) squared EndRoot
Step 3: d = StartRoot (0) squared + (negative 2) squared EndRoot
Step 4: d = StartRoot 0 + 4 EndRoot
Step 5: d = StartRoot 4 EndRoot
Therefore, d = 2.
Which best describes the accuracy of Tyree’s solution?
Tyree’s solution is accurate.
Tyree’s solution is inaccurate. In step 1, he substituted incorrectly.
Tyree’s solution is inaccurate. In step 2, he simplified incorrectly.
Tyree’s solution is inaccurate. In step 3, he added incorrectly.
Answer:
Tyree’s solution is inaccurate. In step 1, he substituted incorrectly.
Step-by-step explanation:
to find the distance between two point A(-4, -2) and B(-7, -7) we use the following distance formula
[tex]d=\sqrt{(x_{2} -x_{1})^2+(y_{2}-y_{1} )^2 \\\\[/tex]
x1=-4, x2=-7
y1=-2, y2=-7
so,
[tex]d=\sqrt{(-7-(-4))^2+(-7-(-2) )^2\\}\\\\d=\sqrt{(-7+4)^2+(-7+2)^2 }\\\\d=\sqrt{(-3)^2+(-5)^2 }\\\\\\\\d=\sqrt{9+25}\\ \\d=\sqrt{34}[/tex]
Answer:
Tyree’s solution is inaccurate. In step 1, he substituted incorrectly.
Explanation:
I got it right,
Hope this Helps!
Elmer deposited $2250 into a savings account that pays annual simple interest at the end of seven years he earned $157.50 in interest what is the interest rate on a savings account round to the nearest 10th of a percent
Work Shown:
i = P*r*t
157.50 = 2250*r*7 ... plug in given values
157.50 = 2250*7*r
157.50 = 15750r
15750r = 157.50
r = 157.50/15750 ... divide both sides by 15750
r = 0.01
The interest rate is 1%
To go from 0.01 to 1%, you move the decimal point 2 spots to the right.
Alternatively, you would multiply by 100.
Answer:7%
Step-by-step explanation:
how do I solve system of equations elimination method
Step-by-step explanation:
To Solve a System of Equations by EliminationTo Solve a System of Equations by EliminationWrite both equations in standard form. ...To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...Add the equations resulting from Step 2 to eliminate one variable.To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...Add the equations resulting from Step 2 to eliminate one variable.Solve for the remaining variable.To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...Add the equations resulting from Step 2 to eliminate one variable.Solve for the remaining variable.Substitute the solution from Step 4 into one of the original equations.To Solve a System of Equations by EliminationWrite both equations in standard form. ...Make the coefficients of one variable opposites. ...Add the equations resulting from Step 2 to eliminate one variable.Solve for the remaining variable.Substitute the solution from Step 4 into one of the original equations.More items...x2 - 6x + 12 and y = 2x - 4, algebraically are
The first two steps in determining the solution set of the system of equation
shown in the table.
Step
Step 1
Step 2
Equation
x² - 6x + 12 = 2x - 4
x2-8x+16=0
Which represents the solution(s) of this system of equations?
(4.4)
(-4,-12)
(4.4) and (-4, 12)
(-4, 4) and (4, 12)
Answer:
its A (4,4)
Step-by-step explanation:
The solution of the system y = x² - 6x + 12 and y = 2x - 4 is (4, 4).
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
Given, y = x² - 6x + 12 and y = 2x - 4.
∴ The solution set of this system is,
x² - 6x + 12 = 2x - 4.
x² - 8x + 16 = 0.
x² - 4x - 4x + 16 = 0.
x(x - 4) - 4(x - 4) = 0.
(x - 4)(x - 4) = 0.
x - 4 = 0 Or x - 4 = 0.
x = 4 Or x = 4.
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Which system of equations could be used to solve for the point of intersection of the lines on the graph?
A)
y-2x+1 and - x+9
B)y=2x-1 and = x +9
C)y=xx-1 and 7x+9
D)y=-x-1 and - *+9
9
Answer:
[tex]y=\frac{3}{4}-1[/tex] and [tex]y=-\frac{4}{3}+9[/tex]
Step-by-step explanation:
step 1
Find the equation of the blue line
take the points
(0,-1) and (8,5) from the graph
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{5+1}{8-0}[/tex]
[tex]m=\frac{6}{8}[/tex]
simplify
[tex]m=\frac{3}{4}[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=\frac{3}{4}[/tex]
[tex]b=-1[/tex] ---> see the graph
substitute the given values
[tex]y=\frac{3}{4}-1[/tex]
step 2
Find the equation of the black line
take the points
(0,9) and (3,5) from the graph
Find the slope
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute
[tex]m=\frac{5-9}{3-0}[/tex]
[tex]m=-\frac{4}{3}[/tex]
Find the equation of the line in slope intercept form
[tex]y=mx+b[/tex]
we have
[tex]m=-\frac{4}{3}[/tex]
[tex]b=9[/tex] ---> see the graph
substitute the given values
[tex]y=-\frac{4}{3}+9[/tex]
therefore
The system of equations is
[tex]y=\frac{3}{4}-1[/tex] and [tex]y=-\frac{4}{3}+9[/tex]
The equations of the blue and black lines are y = 3/4x - 1 and y = -4/3x + 9, respectively, based on their respective slopes and given points.
To find the equations of the blue and black lines, we start by determining their slopes using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on each line.
For the blue line:
Points: (0, -1) and (8, 5)
m = (5 - (-1)) / (8 - 0) = 6/8 = 3/4
Now, using the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we substitute the slope m = 3/4 and the given point (0, -1):
y = 3/4x - 1
For the black line:
Points: (0, 9) and (3, 5)
m = (5 - 9) / (3 - 0) = -4/3
Substituting the slope m = -4/3 and the given point (0, 9) into the slope-intercept form, we get:
y = -4/3x + 9
Therefore, the system of equations representing the blue and black lines is:
y = 3/4x - 1
y = -4/3x + 9
The question probable may be:
Write system of equations could be used to solve for the point of intersection of the lines on the graph?
explain why an inverse variation function is not the best model for the data set
Answer: The products of corresponding x- and y- values of an inverse variation function are constant.
As x increases, y also increases.
The product of coordinate pairs are not equal: (165) (198) = 32,670 and (170) (204) = 34,680.
Step-by-step explanation:
I Need help Asap no decimal please just plot the point!
Step-by-step explanation:
if you see the number the line is divided into 6 or to get from 0 to 1 or 2 to 3 it takes 6 space that means the fraction should n/6.
n= a number
2 5/6 that means that there is 2 wholes or 2 6/6
6/6= 1
it is easy to plot 2 5/6 because it is already 5/6, you plot it right on the line that is before 3 or 5 spaces after 2.
1 2/3 is the same as 1 4/6
there is 1 whole or one 6/6. now it is easy you plot it on the line that is 4 spaces away from 1.
Plotted the points on the line. Please see attached.
2 5/6 = 17/6 = 2.83
1 2/3 = 5/3 = 1.67
someone who's good at math plz!!!!
There is 1 gram of fat in a serving of refried beans. Each serving is 110
calories. How many calories are from fat?
Final answer:
To calculate the number of calories from fat in a serving of refried beans, multiply the grams of fat by the calories per gram of fat. In this case, there are 9 calories from fat in a serving of refried beans.
Explanation:
In order to determine the number of calories from fat in a serving of refried beans, we need to know the total amount of fat per serving. The question states that there is 1 gram of fat in a serving. It also mentions that each serving is 110 calories. To calculate the number of calories from fat, we can use the formula:
Calories from fat = Fat (in grams) × Calories per gram of fat
Plugging in the values: Calories from fat = 1 gram × 9 Calories/gram of fat = 9 Calories
Therefore, there are 9 calories from fat in a serving of refried beans.
Final answer:
In a serving of refried beans that contains 1 gram of fat, there are 9 calories from fat.
Explanation:
The question asks how many calories are from fat in a serving of refried beans. To answer this, we need to know the amount of fat and the calories in the serving. The question provides that there is 1 gram of fat in the serving and that the serving is 110 calories. Therefore, 1 gram of fat in the serving would contribute 9 calories (since fat contains 9 calories per gram). So, the number of calories from fat in the serving of refried beans is 9 calories.
To calculate the number of calories from fat in a serving of refried beans, we need to use the fact that fat provides 9 calories per gram. With 1 gram of fat in a serving of refried beans, we do the following calculation:
Multiply the amount of fat in grams by the number of calories that fat provides per gram: 1g × 9 calories/g = 9 calories.
Therefore, 9 calories of the total 110 calories in a serving of refried beans come from fat.
30 out of 40 is equal to what percent
Answer:
%75
Step-by-step explanation:
30/40 is equal to 0.75
0.75 is also %75
Answer: %75
37.5% of what number is 6
To find the number that 37.5% of it equals 6, set up an equivalent fractions equation, cross-multiply, and solve for the unknown number. In this case, 37.5% of 16 is 6.
Explanation:The question pertains to finding a certain number when given a percentage of that number. Here, we're asked to find the number of which '37.5% is 6'. We can solve this through simple arithmetic and the use of equivalent fractions. An important rule to remember is that 'percentage' literally means 'per 100', so 37.5% can be written as the fraction 37.5/100.
To find the unknown number (let's call it X), you can set up the equation 37.5/100 = 6/x, where 'x' is the number we're trying to find. Then you cross-multiply to solve for 'x': 37.5 * X = 6 * 100. Simplifying this, X = (6 * 100) / 37.5. Calculating that out gives X = 16. Therefore, 37.5% of 16 is 6.
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The value of the unknown number whose 37.5 percent equals 6 is 16.
What number does its 37.5% gives 6?Given the parameter:
37.5% of what number is 6
The problem is asking for 37.5% of some unknown number which gives 6.
We can represent the unknown number as x.
Now, the equation to find the unknown number will be:
37.5% of x = 6
Replace 37.5% with 37.5/100:
37.5/100 of x = 6
37.5/100 × x = 6
Solve for x:
0.375 × x = 6
0.375x = 6
Divide both sides by 6:
x = 6/0.375
x = 16
Therefore, the value of the number is 16.
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Which of the following events are dependent?
Beth and Corrie take turns picking a card at random and recording each outcome. They replace the selected card at the bottom of the pile after each turn.
Archie and Harris take turns picking yellow- or purple-colored chips from a dish.
Jared pulls out a sock from the laundry basket containing white and black socks, puts it back, and then draws another sock at random.
Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.
Answer:
A. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.
C. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.
Step-by-step explanation:
Two events will be dependent if the first event influences the probability of the second event. If the first event takes something and doesn't put it back, that means the second event can't pull the same roll and the total pool of items changed.
A. Beth and Corrie take turns picking a card at random and recording each outcome. They replace the selected card at the bottom of the pile after each turn.
This option put replace the card, so it is independent
B. Archie and Harris take turns picking yellow- or purple-colored chips from a dish.
No replacement, the event should be dependent.
C. Jared pulls out a sock from the laundry basket containing white and black socks, puts it back, and then draws another sock at random.
This option put back the pulls, so it is independent
D. Lily draws a marble from a bag filled with red and blue marbles, places her selection in a separate bag, and draws from the original bag of marbles again.
No replacement for the marble taken, each draws probability should depend on the earlier draw result.
1. 3x + 18 х = (0)
Completing the square
Need help with this ASAP!! Will award brainliest to answer with steps!! Anthony has a sink that is shaped like a half-sphere. The sink is 660pi in.^3. One day his sink clogged. He has to use one of two cylindrical cups to scoop the water out of the sink. The sink is completely full when he begins scooping.
Answer:
part a) 13 scoops
part b) 3 scoops
Step-by-step explanation:
1) so we know that the volume of the sink is 660pi in^3
we have to divide this with the volume of each cup to find out the number of scoops it takes to get all the water out.
since we are dividing, I don't like leaving answers in terms of pi so
660*pi= 2073.45115137
formula for volume of cylinder(diameter) [tex]pi(\frac{d}{2} )^2 h[/tex]
pi*(5/2)^2*h=157.079632679
so
2073.45115137/157.079632679= 13.2 - for cup 1
for cup 2:
pi*(10/2)^2*8= 628.318530718
so
2073.45115137/628.318530718= 3.3- for cup 2
Hope this helps!
G(F(x)) is always equal to F(G(x)).
O
A. True
OB. False
B. False
There are cases where this is not true, but if you want to prove that, you'll need to know what f and g are. For example, if f(x) = x - 3 and g(x) = x2, then f(g(x)) is not equal to g(f(x)) because
f(g(x)) = x2 - 3 and g(f(x)) = (x - 3)2. Those 2 functions are not the same because f(g(0)) = -3 ≠ 9 = g(f(0)).
What are the rules of functions?Function rules by equations | Algebra functions that match 1 variable to the other in a 2-variable equation. Functions are written using function notation. Create functions that match 1 variable to the another in a 2-variable equation.
What are some examples of mathematical functions?there are Some Examples of Functions
x2 (squaring) is the functionx3+1 is also a functionSine, Cosine or Tangent are functions used in trigonometryLearn more about functions here https://brainly.com/question/12431044
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