There is a 7.4% probability that the first marble will be green and the second will be red.
To calculate the probability, you will need to use the following formula:
P(A and B) = P(A) x P(B).
In this case, P(A) is the probability of picking a green marble on the first pick and P(B) is the probability of picking a red marble on the second pick. Using this formula,
we get P(A and B) = 333/999 x 222/998 = 0.074,
which is the probability of picking a green marble on the first pick and a red marble on the second pick.
So, there is a 7.4% chance of this happening.
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If the diameter of a circle is 70 cm, what is its circumference
Answer: 219.91cm
Step-by-step explanation:
C=πd
π·70
=219.91149cm
James is running around a square field. He starts at point A, then runs around the perimeter, passing through points B, C, and D, until he gets back to point A. Then he cuts across the diagonal to point C. In total, he covers 271 m. If AB¯¯¯¯¯¯¯¯
is 50 m long, what is the length of the diagonal AC¯¯¯¯¯¯¯¯
?
Square A B C D with diagonal A C drawn in forming two right triangles.
67.75 m
17.75 m
71 m
221 m
The length of the diagonal AC is 71 meters.
What is Pythagoras' theorem?In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.
Given:
James is running around a square field.
He starts at point A, then runs around the perimeter, passing through points B, C, and D, until he gets back to point A.
Then he cuts across the diagonal to point C.
In total, he covers 271 meters.
AB is 50 meters long.
So, the perimeter is 200 meters.
The length of the diagonal,
=√{(50)² + (50)²}
= √5000
= 70.71 meter
≈ 71 meters.
Therefore, the diagonal is 71 meters.
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If a reflection takes triangle cat to c′a′t′, what is a′c′? triangle cat with vertex a at negative 2 comma 1, vertex t at negative 1 comma 4 and vertex c at 0 comma 0, side at has a measure of square root of 10 units, side tc has a measure of square root of 17 units, and side ac has a measure of square root of 5 units 3 4 square root of 5 cannot be determined
The length of A'C' is 5 units.
A reflection of a function is just the image of the curve with respect to either x-axis or y-axis. This occurs whenever we see the multiplication of a minus sign happening somewhere in the function. Here,
y = - f(x) is the reflection of y = f(x) with respect to the x-axis.
y = f(-x) is the reflection of y = f(x) with resepct to the y-axis.
Here, note that when the function is reflected.
with respect to the x-axis, only the signs of the y-coordinates are changed and there is no change in x-coordinates.
with respect to the y-axis, only the signs of the x-coordinates are changed and there is no change in y-coordinates.
Reflections are considered isometries because they keep the distances constant.
The triangle's form or size will not change if it is reflected. The reflected image would therefore be "congruent" with the actual object.
Assume that the CAT symbol is reflected across the y axis.
The point (x,y-reflection ) across the y-axis is determined by the point (-x,y).
The y-coordinate of a point that is reflected across the y-axis remains constant, but the x-coordinate changes to its opposite (the sign of the x-coordinate will be changed).
We are given that
C(0, 0) → C'(0, 0)
A(-2, 1) → A'(2, 1)
T(-1, 4) → T(1, 4)
length of Side AT = √10 units
length of Side TC = √17 units
length of Side AC = √5 units
Reflections are referred to as isometries because they maintain distances.
Therefore, if CAT reflected crosses the y-axis. The distances are preserved by "C'A'T." Each preimage segment would have a length equal to its corresponding side in the image.
Thus, the length of A'C' is 5 units.
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What is isosceles base angle?
Answer:
The angle included by the legs is called the vertex angle and the angles that have the base as one of their sides are called the base angles.
Step-by-step explanation:
Base angles: The 'base angles' are the angles that involve the base of an isosceles triangle. ∠ABC and ∠ACB are the two base angles of the isosceles triangle.
Pythagorean Theorem
From a train station, one train heads north, and another heads east. Some time later, the northbound train has traveled 16 miles, and the eastbound
train has traveled 12 miles. How far apart are the two trains, measured in a straight line?
X= ?? Miles
The distance between the trains is 20 miles.
What is Pythagorean Theorem?The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.
In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side.
Given distance covered by train A in north = 16 miles
distance covered by train B in east = 12 miles
the distance from A to B by straight line form a right triangle,
the distance be X
from Pythagorean Theorem,
X² = (distance of A)² + (distance of B)²
X² = 16² + 12²
X² = 256 + 144
X = √400
X = 20 miles
Hence the distance is 20 miles.
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What angle is a 7 grade?
7-grade angle is an acute angle, which is an angle that measures between 0 and 90 degrees
In a right triangle, the 7-grade angle would be the angle opposite the side that is 7 units long. It is also known as the "opposite angle" because it is opposite to the side of the triangle that is 7 units long.
To calculate the angle,
you first need to know the length of the other two sides of the triangle. Using the Pythagorean theorem, we can calculate the length of the third side. Once you have all three side lengths, you can use the Law of Cosines to calculate the 7-grade angle.
The Law of Cosines states that a2 = b2 + c2 – 2bc cos A, where a is the side opposite the angle A, b is the adjacent side, and c is the hypotenuse. The Law of Cosines can be rearranged to solve for angle A.
For example, if we have a triangle with side lengths of 7, 8, and 10, then the angle opposite the side of length 7 would be 41.8 degrees.
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how to get an even radical function
We set the radicand to be higher than or equal to zero to determine the domain of a radical function with even index. The radicand for an odd index radical can be any real integer. When the radical has an even index, the radicand must be larger than or equal to zero.
What is an Even Radial Function?
Note that an even radical function is a function of the form f(x) = √(g(x)), where g(x) is an even function. That is, the function is defined as the square root of an even function.
In several methods, either algebraically or visually, a function can be defined as even, odd, or neither. An even function is one whose graph remains intact when reflected in the y-axis.
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Evan is going to invest in an account paying an interest rate of 4.4% compounded
monthly. How much would Evan need to invest, to the nearest dollar, for the value of
the account to reach $41,000 in 8 years?
On solving the provided question, we can say that - the value of the simple interest will be $ 14432.
what is interest ?Multiplying the principal by the interest rate, time, and other factors yields simple interest. Simple return equals principle times interest times hours is the marketed formula. It is easiest to compute interest using this formula. A percentage of the principle balance is how interest is most commonly computed. For instance, he will only pay his portion of the 100% interest if he borrows $100 from a buddy and promises to pay it back with 5% interest. $100 (0.05) = $5. When you borrow money, you must pay interest, and when you lend money, you must charge interest. Most of the time, interest is expressed as a yearly percentage of the loan amount. The interest rate on the loan is known as this percentage.
here,
we have P = 41000; R = 4.4 ; T = 8
SI = 41000 X 4.4 X 8 /100
SI = 1443200/100 = 14432
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Answer:
Step-by-step explanation:
It’s 28853 cording to delta
You are given an integer n, followed by n lines of input (1 <= n <= 100). Each line of input contains one or several words separated with single spaces. Each word is a sequence of letters of english alphabet containing between 1 and 10 characters, inclusive. The total number of words in the input is between 1 and 100, inclusive. Your task is to reverse the order of words in each line of input, while preserving the words themselves. The lines of your output should not have any trailing or leading spaces.
Python program to illustrate a string reversing .
let , n is the variable , defined to get the input from the user in the form of integer. then creation of empty list is defined , after the method of reversing string then declared to the input string . then after reversing one more for loop is applied to get reverse value .
program to get a reverse value after using the method of reverse :
n=int(input("Enter number of Strings : ")) #defining n variable to input value array=[]#defining an empty list
print("Enter strings:") #print message
for i in range(n): #defining a loop that input string value array.append(input()) #appending value to an array
reverse=[] #defining an empty list
for i in range(len(array)): #defining loop for reverse word
s=array[i] # list value is stored in i
s variable new="" #defining a string variable
new1="" #defining a string variable
for j in range(len(s)): #defining loop to get reverse string value if(s[j]==" "): # if block is used to check such that the character is space or not
new=s[j]+new1+new #adding the character to the new string new1="" #assign,empty string to new k=j
else:
new1=new1+(s[j]) # new character is added
new=s[k+1:]+new # substring is added to new
reverse.append(new) #adding the reversed string to list
print("After reversing:")
for i in reverse: #printing all reversed strings
print(i)
hence , output is obtained after the execution of program ,
Enter number of string : 2
hello brainly
nice question
after reversal:
brainly hello
question nice
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Graph this line:
y + 5 = 2(x + 7)
Answer: the y intercept is 9 and the slope is 2
Step-by-step explanation:
What does the number .05 represent in the following: t(58) = 2.001, p < .05?
A)test statistic B)t value C)degrees of freedom D)significance level
The number .05 is the significance level which indicates the probability of obtaining a result as extreme as the observed one.
The number .05 represents the significance level in the t-test. The significance level is the probability of obtaining a result as extreme as the observed one, given that the null hypothesis is true. In this case, the t-test is measuring the difference between two means and the null hypothesis is that there is no difference between them. The t-value is the test statistic which measures the difference between the groups and the degrees of freedom is the number of observations minus one. The p-value is the probability of obtaining a result as extreme as the observed one, given that the null hypothesis is true. If the p-value is less than .05, this indicates that the result is statistically significant, meaning that the null hypothesis can be rejected and the alternative hypothesis is accepted.
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You started with $10 in your pocket. You were lucky and found a quarter on the ground. At the store, you bought a present for your mom that cost $2.12. How much money do you have left?
$
Answer:
$8.13
Step-by-step explanation:
First add the $10 and quarter together, equaling $10.25.
Subtract $2.12 from $10.25
And tada! You have your answer :)
use the first derivative test to find the functions extreme values and to find where the extreme values exist. justify your answer
Answer:
Below ( kinda long)
Step-by-step explanation:
Use fist derivative to find where the derivative = 0
Derivative = 4 x^3 + 12 x^2
set = to zero
4x^3 + 12x^2 = 0
4x^2 ( x + 3) = 0 shows x = 0 or -3
Now take the SECOND derivative
12x^2 + 24x and sub in the values found above ( 0 and -3)
if the result is >0 this point is a local min, if < 0 it is a local max and if = 0 it is neither a min or a max....it is an INFLECTION point
12x^2 + 24x for x = -3 this equals +36 <=====local min
for x = 0 this equals 0 <======inflection point
SO at -3 there is a local min extreme....find the value at -3 :
x^4 + 4x^3 - 2 =
(-3)^4 + 4 ( -3^3) - 2 = - 29 the local min is at (-3,-29)
Write a formula to find the number of sides in a regular polygon given that the measure of one interior angle is a x°
A formula to find the number of sides in a regular polygon given that the measure of one interior angle is a x° is x°=180°(n-2)/n.
What is the formula to find the number of sides with interior angle?We can find the number of sides in a polygon using the value of interior angle. Interior angle = 180°(n-2)/n, where n is the number of sides of the polygon.
Given that, in a regular polygon given that the measure of one interior angle is a x°
We know that, in the regular polygon is all interior angles are equal and all sides are equal.
Now, x°=180°(n-2)/n
Therefore, the formula is x°=180°(n-2)/n.
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answer the quesion (i will mark the brainliest if answered correctly)
Answer:
but where is the questions?
Identify the parent function.
• A. Square root
B. Cube root
• C. Absolute value
D. Reciprocal
Carson buys 8 pounds of apples for $12.00. He wants to know and use the unit rate of the cost per pound. True or False: Using the unit rate of the cost per pound, do 5 pounds of apples cost $7.50? (Hint: Take the unit rate from Question 2 and multiply that by 5. Do you get $7.50?) 1Points A True B False
Answer:
$1.50 per apple
Step-by-step explanation:
cross multiply, 5*12/8
60/8 = 7.50
5 pounds of apples = 7.50
true
What is the sum of the geometric series
2,341
256
O 525
64
O 2,343
256
O 3,069
256
4
Answer:
256
Step-by-step explanation:
3 What is the sum of the geometric series 4 2,341 256 525 64 2,343 256 ... A: Geometric series are such finite or infinite series where every next term
Write a function to represent each problem situation.
Serena deposits $2700 into a compound interest account. The Interest rate for the account is 4.25%.
The function which correctly represents the compound interest problem situation as required in the task content is; A (t) = 2700 ( 1.0425 )^t.
Which function correctly models and represents the problem situation?As evident in the task content; it follows that the function which correctly models the compound interest problem situation be determined.
Recall that the compound interest formula is such that we have;
A (t) = P ( 1 + ( r / n )^nt.
However, in this scenario; since the given interest rate can be assumed as the annual interest rate and the principal is compounded annually; n = 1; Hence; we have that;
A (t) = 2700 ( 1 + 0.0425 )^t
A (t) = 2700 ( 1.0425 )^t.
On this note, the required function which correctly models the problem situation is; A (t) = 2700 ( 1.0425 )^t.
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Find the number of positive numbers less
than 2020, which can not be written as the
sum of three consecutive positive numbers.
Answer:
[tex]1347[/tex]
Step-by-step explanation:
Let's first figure out an expression for the sum of 3 consecutive integers
If [tex]n[/tex] is the smallest of the 3 consecutive integers, then the next consecutive integer would be [tex]n + 1[/tex] and the next one after that, [tex]n + 2[/tex]
The sum of these would be
[tex]n + (n +1) + (n +3) = 3n + 3[/tex]
The next step is to find out many integers there are between 1 and 2019(since the question says less than 2020) that can be written as the sum of 3 consecutive integers
We get the following inequality:
[tex]3n + 3 < 2020[/tex]
[tex]3n = 2017[/tex]
[tex]n = 2017/3 = 672 \textrm{ (omit fractional part)}[/tex]
So there are 672 integers that can be expressed the sum of 3 consecutive integers
Since there are a total of 2019 integers between 1 and 2019, subtracting 672 from 2019 will give us the complement i.e. The number of positive numbers less than 2020, which cannot be written as the sum of three consecutive positive numbers.
Answer:
[tex]2019 - 672 = \boxed{1347}[/tex]
An architect makes a model of a new house. the model shows a tile patio in the backyard. in the model, each tile has length 2/3 in. and width 1/4 in. the actual tiles have length 1 /2 ft and width 3 1/6 ft. what is the ratio of the length of a tile in the model to the length of an actual tile? what is the ratio of the area of a tile in the model to the area of an actual tile?
The ratio of the area of a tile in the model to the area of an actual tile is 1/144
An object's area is how much space it takes up in two dimensions. It is the measurement of the number of unit squares that completely cover the surface of a closed figure. The common ways to depict square units, which are the same as areas, are square inches, square feet, etc.
The ratio of the length of a tile in the model to the length of an actual tile is 2/3 in. / 1/2 ft. = 4/3.
To find the ratio of the area of a tile in the model to the area of an actual tile, we first need to find the area of a tile in the model and the area of an actual tile. The area of a tile in the model is (2/3 in.) * (1/4 in.) = 1/6 sq in. The area of an actual tile is (1/2 ft) * (3 1/6 ft) = (1/2 * 39/6) = 13/6 sq ft = 13/6 * 144/13 = 144/6 = 24 sq ft.
The ratio of the area of a tile in the model to the area of an actual tile is (1/6 sq in.) / (24 sq ft) = 1/144.
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Mr. Singh had three sheets of stickers. He gave 20 stickers from
each sheet to his students and has 12 total stickers left.
Write and solve an equation to find how many stickers
were originally on each sheet.
x = sticker sheets.
3x = 60 + 12
x = 24
it's E- learning day I need help
Answer:
36
Step-by-step explanation:
the steps are clearly shown on the right hand side
Biologists are studying a new bacterium. They create a culture with 100 of the bacteria and anticipate that the number of bacteria will double every 30 hours. Write
an equation for the number of bacteria, B, in terms of the number of hours, t, since the experiment began.
An equation for the number of bacteria, B, in terms of the number of hours, t, since the experiment began is [tex]B = 100e^{{(t/15)}}[/tex].
What is the formula for exponential growth and exponential decaying function?The formula for exponential growth is y = y₀.e^(kt).
The formula for exponential decay is y = y₀.e^(-kt).
Given, Biologists are studying a new bacterium and the number of bacteria doubles every 30 hours.
This can be modeled by the formula y = y₀.e^(kt) where y₀ is the initial number of bacteria and y is the final number of bacteria and k = 2 and t represents time in hours.
Therefore, A formula that expresses the number of bacteria, B, in terms of the experiment's duration, t, in hours.
[tex]B = B_0e^{kt}[/tex].
[tex]B = 100e^{2\times{(t/30)}}[/tex].
[tex]B = 100e^{{(t/15)}}[/tex].
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Which of the following expressions means "five factors of 3"? 5 3 5 ÷ 3 3 5
The expressions that means "five factors of 3 is [tex]3^{5}[/tex], option D.
What does a math factor mean?The concept that will be used is the factor: A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
It should be noted that Factors of 3 that can be found are (1 and 3).
Then the ''Five factors of 3'' can be interpreted as =( 5 times the factor of 3) and this can be written as [tex]3^{5}[/tex]
Therefore, Five factors of 3 can be expressed as [tex]3^{5}[/tex]
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What is a system of linear equations with at least one solution?
When the system of Linear Equations that has at least one solution , then we say that the the solution is consistent .
What is Solution of the Equations ?
A solution of the linear equation is defined as the assignment of values to the unknown variables which makes the equality in the equation True.
Consider system of linear equations given as :
[tex]a_{1}x +b_{1}y =c_{1}[/tex] and [tex]a_{2}x +b_{2}y =c_{2}[/tex] , then we say that the linear equations have at least one solution if the ratio is : [tex]\frac{a_{1} }{a_{2} } = \frac{b_{1} }{b_{2} } = \frac{c_{1} }{c_{2} }[/tex] and [tex]\frac{a_{1} }{a_{2} } \neq \frac{b_{1} }{b_{2} } \neq \frac{c_{1} }{c_{2} }[/tex] .
if the above two conditions are satisfied , then we call these solutions as consistent , and if these conditions are not satisfied then we call the solutions as Inconsistent .
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What is the degree of â 6?
The degree of 6 is 0 since 6 is not an angle, so it has a degree of 0.
A degree, denoted by the symbol °, is a measurement of a plane angle with a full rotation of 360 degrees. It is not a SI unit (the SI unit of angular measure is the radian), but it is listed as an accepted unit in the SI brochure.
To determine the degree of 6, we must first understand what a degree is. A degree is a unit to measure angles. In this case, 6 is not an angle, so it has a degree of 0.
To calculate the degree, we must first convert 6 into an angle. To do this, we must divide 6 by 360, the total number of degrees in a circle. 6 divided by 360 is equal to 0.01667. This is the degree of 6.
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4 people can trim a hedge in an hour, how long would it take 3 people?
it would take them 80 minutes, that is 1 h 20 mins
Evaluate -2+12-2^(3)-:2^(0)*3
Answer:
[tex] \frac{2}{3} [/tex]
Approx : 0.66
Step-by-step explanation:
[tex]( - 2 + 12 - {2}^{3}) \div {2}^{0} \times 3 \\ (- 2 + 12 - 8) \div 1 \times 3 ( expla \\ ation \: {2}^{3} = 8 \: and \: {2}^{0} = 1 ) \\ = (10 - 8) \div 3 \\ = 2 \div 3 \\ = 0.66[/tex]
please help. I do not understand
List the sample space for rolling a fair eight-sided die.
S = {1}
S = {8}
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8}
The sample space for a eight-sided die is S = {1, 2, 3, 4, 5, 6, 7, 8} ( optionD)
What is sample space?A sample space a set of possible outcomes of a random experiment. The sample space is represented using the symbol, “S”. The subset of possible outcomes of an experiment is called events. A sample space may contain a number of outcomes that depends on the experiment.
For example the sample space in a six- sided fair die is 6 and the items is {1, 2, 3, 4, 5, 6}. Each face of the die will represent a number from 1 to 6.
Similarly in a eight-sided fair die, the space on the die are 8 and each face will represent a number. This means that taking the numbers from 1, the faces will have 1, 2, 3 ,4 ,5, 6 ,7, 8,
Therefore the the sample space on a eight-sided fair die is {1, 2, 3, 4, 5, 6, 7, 8}.
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Answer: D is the correct answer I got it right
Step-by-step explanation:
