The total number of words which starts and end with the letter N formed from the letters of the word NIPUN is 4
To form words that start and end with the letter N, we need to first fix the letter N at the beginning and end of the word. This leaves us with the letters I, P, and U to arrange in the middle.
There are 3! (3 factorial) ways to arrange these 3 letters, which is equal to 3 × 2 × 1 = 6.
However, we need to divide by the number of times each letter appears in the word, which is 1 for each of the letters I, P, and U.
So the total number of words that can be formed is 6/1/1/1 = 6.
But we only want the words that start and end with the letter N, so we need to divide by the number of times the letter N appears in the word, which is 2.
So the final answer is 6/2 = 3.
Therefore, the total number of words which starts and end with the letter N formed from the letters of the word NIPUN is 3.
Know more about equations
https://brainly.com/question/22688504
#SPJ11
how old am i if 400 reduced by 2 times my age is 300?
Answer:
You are 78 years old.
Answer:
Naw bro you're 0
Step-by-step explanation:
What table does the graph represent?
Answer: A
Step-by-step explanation:
A best represents the graph
which equation of the least squares regression line most closely matches the data set?
The equatiοn οf the least squares regressiοn line which mοst clοsely matches the data set is y = 3.5 x + 43.8
Hοw tο sοlve fοr the data set?Tο sοlve fοr the data set, lets lοοk at the table,
X 1190 1992 1994 1996 1998
Y 45 51 57 61 75
Let the equatiοn that shοws the abοve data be
y = b + a x ---------(1)
Where, a = Σy Σx² - Σx Σxy
And, b = (Σxy - Σx Σy) / n Σx² -(Σx)²
By the abοve table,
Σx=20
Σxy = 1296
Σx² = 120
Σy=289
By substituting these values in the abοve value οf a and b,
We get b = 43.8 and a = 3.5
Substitute this value in equatiοn (1)
We get, the equatiοn that shοws the given data is,
y = 3.5 x + 43.8
Therefοre, οptiοn 3 is cοrrect.
Learn more about data set
https://brainly.com/question/22210584
#SPJ1
Evaluate the expression 4x² for x = 3.
Answer:
36
Step-by-step explanation:
do x to the second power then multiply 4 to get your answer
A bag contains pennies, nickels, dimes, and quarters. There are 50 coins in all. Of the coins, 16% are pennies and 34% are dimes. There are 6 more nickels than pennies. How much money does the bag contain?
The bag contains how much money?
Answer:
$2.48
Step-by-step explanation:
50 coins in all
16% of 50 is 8. (50 x 0.16 = 8)
That means we have 14 Nickels
34% of 50 is 17. (50 x 0.34 = 17)
Multiplying each number by their value (i.e. 14 x 5 for Nickels)
We get 248. We can assume we don't have 248 dollars, and more likely have $2.48 instead.
A=2−1501300−3 To find: eigenvalues and the eigenvectors
The eigenvalues of matrix A are 11 and -1, and the corresponding eigenvectors are [1, -3, 0] and [1, 0, 0].
Eigenvalues and eigenvectors are important concepts in linear algebra. The eigenvalues of a matrix are the values that satisfy the equation Ax = λx, where A is the matrix, x is the eigenvector, and λ is the eigenvalue. The eigenvectors are the corresponding vectors that satisfy this equation.
To find the eigenvalues and eigenvectors of the matrix A=2−1501300−3, we need to follow these steps:
1. Find the characteristic equation of the matrix A by subtracting λ from the diagonal elements and taking the determinant:
|A-λI| = |2-λ -1 5| = (2-λ)(-3-λ) - (-1)(5) = 0
|0 1 3|
|0 0 -3-λ|
2. Solve the characteristic equation to find the eigenvalues:
(2-λ)(-3-λ) - (-1)(5) = 0
-6 + 3λ + 2λ - λ² + 5 = 0
λ² - 5λ - 11 = 0
(λ - 11)(λ + 1) = 0
The eigenvalues are λ = 11 and λ = -1.
3. Find the eigenvectors by substituting the eigenvalues back into the equation Ax = λx and solving for x:
For λ = 11:
(2-11)x₁ - x₂ + 5x₃ = 0
x₂ + 3x₃ = 0
-3x₃ = 0
x = [1, -3, 0]
For λ = -1:
(2+1)x₁ - x₂ + 5x₃ = 0
x₂ + 3x₃ = 0
3x₃ = 0
x = [1, 0, 0]
The eigenvectors are x = [1, -3, 0] and x = [1, 0, 0].
You can learn more about eigenvalues at: brainly.com/question/29749542
#SPJ11
Using syathetic division, the Rational Root Theorem, and the Remainder Theorem, find the real zeroes of f. Use the real veroes and the Factor Theorem to factor f(x). f(x)=2x^(4)+17x^(3)+35x^(2)-9x-45
f(x) can be factored into f(x) = 2(x + 5)(x + 3/2)(x - 3)(x - 5/2).
How to find the real zeroesTo find the real zeroes of f(x) = 2x^(4) + 17x^(3) + 35x^(2) - 9x - 45 using synthetic division, the Rational Root Theorem, and the Remainder Theorem, we need to follow these steps:
1. Using the Rational Root Theorem, we can find the possible rational roots of f(x) by taking the factors of the constant term (-45) and dividing them by the factors of the leading coefficient (2). The possible rational roots are:
±1, ±3, ±5, ±9, ±15, ±45, ±1/2, ±3/2, ±5/2, ±9/2, ±15/2, and ±45/2.
2. Next, we will use synthetic division to test these possible roots and find the real zeroes of f(x). We will start with the smallest possible root, -45/2, and divide f(x) by (x + 45/2) using synthetic division. The result is a polynomial of one degree less than f(x).
3. We will then use the Remainder Theorem to check if the remainder of the synthetic division is 0. If the remainder is 0, then -45/2 is a real zero of f(x) and we can use the Factor Theorem to factor f(x) into (x + 45/2)(2x^(3) - 8x^(2) - 80x + 90).
4. We will repeat steps 2 and 3 with the remaining possible rational roots until we find all the real zeroes of f(x).
5. Once we have found all the real zeroes of f(x), we can use the Factor Theorem to factor f(x) into the product of linear factors and a constant. The real zeroes of f(x) are -5, -3/2, 3, and 5/2.
Therefore, f(x) can be factored into f(x) = 2(x + 5)(x + 3/2)(x - 3)(x - 5/2).
Learn more about real zeroes at
https://brainly.com/question/12360930
#SPJ11
PLEASE HELP WILL
MARK YOU THE BRAINIEST IF YOU ANSWER RLY NEED.
Answer:
1 < x < 15
Step-by-step explanation:
To find the range of values for the third side, you must subtract and add the other known sides. The lower limit for the range of the third side will be 8 - 7, which equals 1. The upper limit for the range of the third side will be 8 + 7, which equals 15
Answer:
1<x<15
Step-by-step explanation:
What are triangle inequalities?Triangle inequalities state that the sum of two sides of any triangle must be less than the other. This is true for all three sides of the triangle.
In this case, we know two sides. Let us set a variable for the third, as x.
So the sum of 8 and 7 has to be bigger than x:
8+7>x
15>x
8 and x have to be greater than 7:
8 +x >7
x>-1
And 7 and x have to be greater than 8:
7 + x>8
x>1
Looking at the inequalities between x, we must choose the most inclusive ones. x>-1, but 1 is within that, so we can go with x>1. x<15 is a statement that cannot change because it is the only end value given. Therefore, the answer is 1<x<15
If you liked this answer, please mark brainliest!
Level Use the power rules to simplify the expression. ((-4m^(4)n^(-4))^(3))/((mn)^(2))
The simplified expression is (-64[tex]m^{(10)}[/tex])/([tex]n^{(14)}[/tex]).
The given expression is ((-4m4n-4)3) / ((mn)2).
To simplify the expression ((-4[tex]m^{(4)}[/tex] ) (([tex]n^{(-4)[/tex])[tex])^{(3))}[/tex]/ ((mn[tex])^{(2)}[/tex]), we will use the power rules of exponents.
First, we will apply the power rule to the numerator:
((-4)[tex])^{3}[/tex])([tex]m^{(4*3)}[/tex])([tex]n^{(4*3)}[/tex]) = (-64)([tex]m^{(12)}[/tex])([tex]n^{(12)}[/tex])
Next, we will apply the power rule to the denominator:
([tex]m^{(2)}[/tex])([tex]n^{(2)[/tex]) = [tex]m^{(2)}[/tex][tex]n^{(2)[/tex]
Now we can simplify the expression by canceling out the common terms in the numerator and denominator:
((-64)([tex]m^{12}[/tex])([tex]n^{12}[/tex])/([tex]m^{(2)}[/tex][tex]n^{(2)}[/tex])
= (-64)([tex]m^{12-2}[/tex])([tex]n^{12-2}[/tex])
= (-64[tex]m^{(10)}[/tex])/([tex]n^{(14)}[/tex])
Finally, we can write the final expression in simplified form:
(-64[tex]m^{(10)}[/tex])/([tex]n^{(14)}[/tex]).
Therefore, the simplified expression is (-64[tex]m^{(10)}[/tex])/([tex]n^{(14)}[/tex]).
Learn more about simplified expressions here:
brainly.com/question/403971#
#SPJ11
For how many integer values of $a$ does the equation$$x^2 + ax + 8a = 0$$have integer solutions for $x$?
The two integer values of a for which the quadratic equation x² + ax + 8a = 0 have integer solutions are
a = 0 anda = 32What is a quadratic equation?A quadratic equation is an polynomial in which the highest power of the variable is 2.
Since we have the equation x² + ax + 8a = 0, we desire to find how many integer values of a that will make the equation have integer solution.
To do that, we use the discriminant of a quadratic equation
D = b² - 4ac where
Now, for a quadratic equation to have real solutions D ≥ 0
So, b² - 4ac ≥ 0
Now from the equation we have that
a = 1b = a and c = 8aSo, substituting the values of the variables into D, we have that
D = b² - 4ac
a² - 4(1)(8a) ≥ 0
a² - 32a ≥ 0
For integer values of a
a² - 32a = 0
a(a - 32) = 0
a = 0 or a - 32 = 0
a = 0 or a = 32
So, we have two integer values of a which are
a = 0 anda = 32Learn more about quadratic equation here:
https://brainly.com/question/28038123
#SPJ1
what’s the answer of this
The slope is 3. After 1 second, the car's distance increases by 7 feet.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.Based on the information provided, we have the following equation that represents the relationship between distance and time;
y = 3x + 4
At x = 1 second, the distance is given by;
y = 3(1) + 4
y = 3 + 4
y = 7 feet.
Read more on y-intercept here: brainly.com/question/6240745
#SPJ1
A boy at an amusement park has 273 ride tickets. Each ride on the roller coaster costs 7 tickets. How many roller coaster rides can the boy buy?
Therefore , the solution of the given problem of unitary comes out to be child can purchase 39 roller coaster excursions with 273 ride tickets as a result.
An unitary method is what?To finish the job using the unitary technique, the expression from this nano section should be multiplied by two. In essence, when a wanted object is present, both the characterised by either a group and the pigment sections are omitted from the unit method. A variable fee of Inr ($1.01), for instance, would be paid for 40 pens. It's conceivable that one nation will have complete control over the strategy used to achieve this. Almost all living things have a unique trait.
Here,
The boy can purchase the following amount of roller coaster rides:
39 trips using 273 ride tickets at 7 tickets each (rounded down to the nearest whole number)
The child can purchase 39 roller coaster excursions with 273 ride tickets as a result.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
Diego’s family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less. Write and solve an inequality that represents this situation. Explain clearly what the solution to the inequality means in the context of this situation.
We fοund the inequality tο be 14 -0.6x ≤ 1.5 and sοlving this we fοund that the warning lights cοme οn after using fοr apprοximately 21 days.
What is meant by inequality?In mathematics, inequalities specify the cοnnectiοn between twο nοn-equal numbers. Equal dοes nοt imply inequality. Typically, we use the "nοt equal sign" tο indicate that twο values are nοt equal. Hοwever several inequalities are utilised tο cοmpare the numbers, whether it is less than οr higher than. An inequality symbοl has nοn-equal expressiοns οn bοth sides. It indicates that the expressiοn οn the left shοuld be bigger οr smaller than the expressiοn οn the right, οr vice versa. Literal inequalities are relatiοnships between twο algebraic expressiοns that are expressed using inequality symbοls.
Given,
The gallοns οf fuel that the car hοlds = 14 gallοns
Amοunt οf fuel used each day = 0.6 gallοns
When the remaining fuel is 1.5 gallοns οr less, warning lights cοme οn.
We can write an inequality fοr this situatiοn.
If x is the number οf days the car is used, then the warning lights cοme οn when,
14 - 0.6x ≤ 1.5
This is the inequality expressiοn.
Sοlving,
12.5 ≤ 0.6x
x ≥ 12.5/0.6
x ≥ 20.8
Therefοre we fοund the inequality tο be 14 -0.6x ≤ 1.5 and sοlving this we fοund that the warning lights cοme οn after using fοr apprοximately 21 days.
To learn more about inequality, follow the link.
brainly.com/question/25275758
#SPJ1
i need y'all help pls!!
Answer:
right one is correct explanation
Rewrite the set J by listing its elements. Make sure to use the appropriate set notation. J={x|x is an integer and -5<=x<-3}
This is the appropriate set notation for the set J, which includes all integers between -5 and -3.
The set J can be rewritten by listing its elements in the appropriate set notation. Since the set J contains all integers between -5 and -3, we can list the elements as follows:
An integer is the number zero, a positive natural number or a negative integer with a minus sign. The negative numbers are the additive inverses of the corresponding positive numbers.
J = {-5, -4}
In set notation, this can be written as:
J = {x | x is an integer and -5 <= x < -3}
Therefore, the set J can be rewritten as:
J = {-5, -4}
To learn more about integers here:
https://brainly.com/question/929808#
#SPJ11
pls help! Will mark brainliest!!
Match the following terms to the correct location on the transverse wave.
From the given information provided, A is crest, B is wavelength, C is trough, D is amplitude, E is equilibrium line in the transverse wave.
Amplitude: The maximum displacement of wave from its equilibrium position. In other words, it is the height of the wave measured from the midpoint (or equilibrium position) to the crest or trough.
Wavelength: The distance between two consecutive crests or troughs of a wave. It is usually denoted by Greek letter lambda (λ) and measured in meters.
Crest: The highest point or peak of a wave. It is the point on the wave with maximum positive displacement from the equilibrium position.
Trough: The lowest point of a wave. It is the point on the wave with maximum negative displacement from the equilibrium position.
Equilibrium: The position where there is no net force acting on an object. In the context of waves, the equilibrium position is the position where there is no displacement of the medium through which the wave is travelling.
Learn more about height here: brainly.com/question/73194
#SPJ1
Translating a sentence by using an ineqt Write an inequality for the following statement. 5 is greater than or equal to a
The inequality for the statement "5 is greater than or equal to a" is 5 ≥ a.
To write an inequality for the statement "5 is greater than or equal to a," we can use the greater than or equal to symbol (≥) to represent the relationship between 5 and a. The inequality would be written as:
5 ≥ a
This inequality can also be written as a ≤ 5, which means that a is less than or equal to 5. Both of these inequalities represent the same relationship between 5 and a, and either one can be used to represent the statement "5 is greater than or equal to a."
In Mathematics, the relationship between two values that are not equal is defined by inequalities.
Know more about inequality here:
https://brainly.com/question/25275758
#SPJ11
17. Determine whether the given set is linearly independent. \[ \left\{\left[\begin{array}{c} 1 \\ -1 \\ -2 \end{array}\right],\left[\begin{array}{c} -1 \\ 0 \\ 1 \end{array}\right],\left[\begin{array
The set is linearly independent.
Yes, the given set is linearly independent. To prove this, we can use the determinant method. To calculate the determinant, arrange the columns of the array in a 3x3 matrix. This gives us the following matrix:
$$\begin{bmatrix}1 & -1 & -2\\-1 & 0 & 1\\0 & 1 & -1\end{bmatrix}$$
The determinant of this matrix is 1, which is not equal to 0. This shows that the given set is linearly independent.
Learn more about sets
brainly.com/question/8053622
#SPJ11
What is x>-4 graphed and it slope and y-intercept?
Answer: See attached for the graph. There is an undefined slope and no y-intercept.
Step-by-step explanation:
See attached for a graph. Since this is only greater than, (>) we will use a dashed line. Then we will shade everything greater than -4.
The slope of this graph is undefined because this line is straight up and down. If we try to write it as an equation, you end up dividing by zero (which ends up undefined)
Lastly, there is no y-intercept. Since this line does not cross the y-axis, there is no point of intersection.
The height (y) (in feet) of a ball thrown by a child is y = - 1/16 x^2 + 2x + 3
where x is the horizontal distance in feet from the point at which the ball is thrown. (a) How high is the ball when it leaves the child's hand?____ feet (b) What is the maximum height of the ball?____ feet (c) How far from the child does the ball strike the ground?____ feet
(a) The height of the ball when it leaves the child's hand is 3 feet.
(b) The maximum height of the ball is 19 feet.
(c) The ball will strike the ground approximately 33.44 feet from the child.
(a) This is because when x = 0 (the point at which the ball is thrown), the equation simplifies to y = 3.
(b) The maximum height of the ball can be found by finding the vertex of the parabola. The x-coordinate of the vertex is -b/2a, where a = -1/16 and b = 2. So, x = -2/(-1/8) = 16. Plugging this value back into the equation gives us the maximum height: y = -1/16(16)² + 2(16) + 3 = 19 feet.
(c) The ball strikes the ground when y = 0. Setting the equation equal to 0 and solving for x gives us:
0 = -1/16 x² + 2x + 3
Multiplying both sides by 16 to eliminate the fraction gives us:
0 = -x² + 32x + 48 = x² - 32x - 48
Using the quadratic formula, we find that x = (32 ± 8√19)/2 or x ≈ 33.44 and x ≈ -1.44
Taking the positive value, the distance from the child to where the ball strikes the ground is approximately 33.44 feet.
Learn more about parabola here: https://brainly.com/question/29036092.
#SPJ11
What does the initial point, or y-intercept, represent for Smokey Joe's?
Describe the rate of change for "Smokey Joe's" catering and what it represents in the context of the situation.
Would this relationship best be described as proportional or non-proportional? Justify your answer.
If Smokey Joe's charges a $25.00 delivery fee, how will this impact the pricing?
Hence, the sum of the fixed expenses ($75 + $25 = $100) and the expressions variable charges ($15 per person) would equal the total cost for catering.
what is expression ?Mathematically speaking, you can multiply, divide, add, or subtract. This is how an expression is constructed: Math operation, expression, and numerical value Functions, parameters, and numbers make up a mathematical expression. It is feasible to use opposing words and phrases. An expression, sometimes referred to as an algebraic expression, is any mathematical statement that includes variables, numbers, and a mathematical operation between them. As an instance, the phrase 4m + 5 is made up of the phrases 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.
Finding the slope of the line will allow you to compute the rate of change for Smokey Joe's catering. The slope in this instance is $15, which indicates that the price will rise by $15 for each extra person served. The variable cost that Smokey Joe's incurs every person served is represented by this rate of change.
If Smokey Joe's charges a $25 delivery fee, this will be an extra set expense that they will pay no matter how many customers they serve. Hence, the sum of the fixed expenses ($75 + $25 = $100) and the variable charges ($15 per person) would equal the total cost for catering.
To know more about expressions visit :-
https://brainly.com/question/14083225
#SPJ1
Let F and G be two cumulative distribution functions on the real line. Show that if F and G have no common points of discontinuity in the interval (a, b), then ∫_((a,b])▒〖G(x)dF(x)=F(b)G(b)-F(a)G(a)-∫_((a,b])▒〖F(x)dG(x)〗〗
We have shown that ∫_((a,b])▒〖G(x)dF(x)=F(b)G(b)-F(a)G(a)-∫_((a,b])▒〖F(x)dG(x)〗〗 as required.
The given statement is that F and G are two cumulative distribution functions on the real line, and they have no common points of discontinuity in the interval (a, b). We need to show that ∫_((a,b])▒〖G(x)dF(x)=F(b)G(b)-F(a)G(a)-∫_((a,b])▒〖F(x)dG(x)〗〗
First, we can use the fact that F and G are cumulative distribution functions to write the integral of G(x)dF(x) as the difference of the product of F and G at the endpoints of the interval:
∫_((a,b])▒〖G(x)dF(x)=F(b)G(b)-F(a)G(a)〗
Similarly, we can write the integral of F(x)dG(x) as the difference of the product of F and G at the endpoints of the interval:
∫_((a,b])▒〖F(x)dG(x)=F(b)G(b)-F(a)G(a)〗
Subtracting the second equation from the first gives us:
∫_((a,b])▒〖G(x)dF(x)-∫_((a,b])▒〖F(x)dG(x)=F(b)G(b)-F(a)G(a)-F(b)G(b)+F(a)G(a)〗
Simplifying the right-hand side of the equation gives us:
∫_((a,b])▒〖G(x)dF(x)-∫_((a,b])▒〖F(x)dG(x)=0〗
Therefore, we have shown that ∫_((a,b])▒〖G(x)dF(x)=F(b)G(b)-F(a)G(a)-∫_((a,b])▒〖F(x)dG(x)〗〗 as required.
Learn more about Distribution functions
brainly.com/question/8325317
#SPJ11
Complete the following sentences by choosing from the drop-down menus.
A megabyte is _____
bytes.
A gigabyte is ______ bytes
A terabyte is ______ bytes
A kilobyte is _____ bytes
A byte consists of ___ bits
Pls help
Answer:
A megabyte is 1,000,000 bytes
A gigabyte is 1,000,000,000 bytes
A terabyte is 1,000,000,000,000 bytes
A kilobyte is 1,000 bytes
A byte has 8 bits
What is 14x + 7y = 17 in slope-Intercept form?
Answer: y = -2x + 2 3/7
Step-by-step explanation:
The slope-intercept form is y = mx + b
Start:
14x + 7y = 17
Subtract 14 from each side to get y alone:
7y = -14x + 17
Divide by 7 on each side:
y = -2x + 2 3/7
Hope this helps!
6. A man drops a penny from the top of a 500 m tall building. After / seconds, the penny has fallen a distance 16 of's metres, where s(t)- 500-S0SS10.
a. Determine the average velocity between 1 s and 5s.
b. Determine the average velocity between 5s and 9 s.
c. Determine the velocity at -5.
a. The average velocity between 1s and 5s is -30 m/s.
b. The average velocity between 5s and 9s is -70 m/s
c. The velocity at -5 is -50 m/s.
A. The average velocity between 1 s and 5 s can be calculated by finding the displacement divided by the time interval. The displacement is the difference between the final and initial positions, which can be found by plugging in the values of t into the equation s(t) = 500 - 5t^2.
So, s(1) = 500 - 5(1)^2 = 495 m and s(5) = 500 - 5(5)^2 = 375 m.
The displacement is 375 - 495 = -120 m. The time interval is 5 - 1 = 4 s.
Therefore, the average velocity is -120 m / 4 s = -30 m/s.
B. The average velocity between 5 s and 9 s can be calculated in the same way. s(5) = 375 m and s(9) = 500 - 5(9)^2 = 95 m.
The displacement is 95 - 375 = -280 m. The time interval is 9 - 5 = 4 s.
Therefore, the average velocity is -280 m / 4 s = -70 m/s.
C. The velocity at t = 5 can be found by taking the derivative of the position function s(t) = 500 - 5t^2.
The derivative is s'(t) = -10t. Plugging in t = 5 gives s'(5) = -10(5) = -50 m/s.
So the velocity at t = 5 is -50 m/s.
For more such questions on Velocity.
https://brainly.com/question/18084516#
#SPJ11
please answer as fast as possible
Answer:
5 2/3
Step-by-step explanation:
all you need is to add because the fraction is the same.
Which figure is represented by the net shown below? A net is shown. It is created by having a square in the center. Attached to the four sides of the square are triangles of equal size. (5 points) a A cube is shown. b A rectangular prism is shown. c A square pyramid is shown. d A triangular pyramid is shown.
The figure represented here is a square pyramid.
What is a square pyramid?With a square base and fοur triangular sides that are cοnnected at a vertex, a square pyramid is a three-dimensiοnal geοmetric οbject. It has a pentahedrοn shape with five faces.
Fοur triangles are jοined at each vertex tο a square fοundatiοn tο fοrm a square pyramid. It has a square fοundatiοn, and triangles with a shared vertex make up its side faces.
We can get the squared pyramidal figure by fοlding the triangles οf equal size frοm all the sides.
To know more about square pyramid refer the below link
https://brainly.com/question/27350043
#SPJ1
i need help please!!
a) The probability of selecting two different colors is obtained as 9/10.
b) The probability of not selecting a yellow marble is obtained as 3/20.
What is probability?
Probability is a way to gauge how likely something is to happen. Many things are difficult to forecast with absolute confidence. Using it, we can only make predictions about the likelihood of an event happening, or how likely it is. Probability can range from 0 to 1, with 0 denoting an impossibility and 1 denoting a certainty.
a) To find the probability of selecting two different colors, we can use the complement rule, which states that the probability of an event happening is equal to 1 minus the probability of the event not happening.
So the probability of selecting two different colors can be found by calculating the probability of selecting two marbles of the same color and subtracting that from 1.
The probability of selecting two marbles of the same color from the first bag is (2/5) x (1/4) = 1/10, since there are 2 red marbles out of 5 total marbles in the bag, and the probability of selecting a second red marble is 1/4.
The probability of selecting two marbles of the same color from the second bag is 0, since there is only one marble of each color.
So the probability of selecting two different colors is -
1 - (1/10 + 0) = 9/10
Therefore, the probability value is 9/10.
b) To find the probability of not selecting a yellow marble, we can again use the complement rule.
The probability of not selecting a yellow marble is equal to 1 minus the probability of selecting a yellow marble from either bag.
The probability of selecting a yellow marble from the first bag is 1/5, since there is one yellow marble out of 5 total marbles in the bag.
The probability of selecting a yellow marble from the second bag is also 1/4, since there is one yellow marble out of 4 total marbles in the bag.
So the probability of not selecting a yellow marble is -
1 - (1/5 + 1/4) = 3/20
Therefore, the probability value is 3/20.
To learn more about probability from the given link
https://brainly.com/question/23286309
#SPJ1
What is the range of f(x) = 3^x?
A. All real numbers greater than or equal to 3
B. All real numbers
C. All real numbers greater than 3
D. All positive real numbers
Question 1 Not yet answered Marked out of 5.00 P Flag question If the system of a linear equation has the unique solution, then the system is inconsistent Select one: True O False Question 2 Not yet
The statement "If the system of a linear equation has the unique solution, then the system is inconsistent." is False since a single solution is an indication that the equations intersect at a specific point, making it consistent.
A system of linear equations is a set of two or more linear equations that contain two or more variables. A solution to the system of linear equations is a set of values for the variables that satisfies all the equations in the system.
The system of linear equations having a single solution is a consistent system since a single solution is an indication that the equations intersect at a specific point. This contradicts the notion that the system is inconsistent. An inconsistent system is one that has no solutions.
Thus, if a system of linear equations has a unique solution, it must be consistent.
Learn more about system of linear equations here: https://brainly.com/question/25858757.
#SPJ11