Plz help ASAP and help me get it right.

There are 455 ways to choose a dozen donuts from the 15 available varieties with no restrictions. To determine the number of ways to choose a dozen donuts from 15 varieties with no restrictions, we can use the concept of combinations.

The number of ways to choose a dozen donuts from 15 varieties with no restrictions can be calculated using the combination formula. The formula for combinations is given by C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to be chosen.

In this case, we have 15 varieties of donuts, and we want to choose 12 donuts. Applying the combination formula, we have C(15, 12) = 15! / (12!(15-12)!).

Evaluating this expression:

C(15, 12) = 15! / (12! * 3!) = (15 * 14 * 13 * 12!) / (12! * 3 * 2 * 1).

The factor of 12! cancels out in the numerator and denominator, leaving us with:

C(15, 12) = (15 * 14 * 13) / (3 * 2 * 1) = 455.

Therefore, there are 455 ways to choose a dozen donuts from the 15 available varieties with no restrictions.

To learn more about combination formula click here : brainly.com/question/13090387

#SPJ11

Gerard concluded that triangle with given sides cannot be used as  building-frame support because it is not right triangle, he come to this conclusion because the Pythagoras-theorem is not satisfied.

In order to check if a triangle is "right-triangle", Gerard used the Pythagorean theorem. According to this theorem, in right triangle, the square of length of hypotenuse (the side opposite the right angle) is equal to sum of squares of other two sides,

So, the squares of the given sides are :

Square of √95 feet = (√95)² = 95 feet

Square of 8 feet = 8² = 64 feet

Square of √150 feet = (√150)² = 150 feet

We see that, 95 feet + 64 feet = 159 feet ≠ 150 feet,

Since the square of the longest side (√150) is not equal to the sum of the squares of the other two sides (√95 and 8), the Pythagorean-theorem is not satisfied.

Therefore, Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 feet is not a right triangle.

Learn more about Triangle here

https://brainly.com/question/29119900

#SPJ4

The given question is incomplete, the complete question is

Gerard concluded that the triangle with sides √95 feet, 8 feet, and √150 cannot be used as a building frame support on the house because it is not a right triangle. How did Gerard come to that conclusion? explain.

The bank should not recall its card from a customer who has missed a monthly payment, as the probability of default is less than the threshold of 0.20 set by the bank.

(a) Let D denote the event that a customer defaults and M denote the event that a customer misses a monthly payment. We need to find P(D|M). We can use Bayes' theorem to solve for this:

P(D|M) = P(M|D) * P(D) / P(M)

We know that P(D) = 0.03, P(M|D) = 1, and P(M|not D) = 0.21. To find P(M), we can use the law of total probability:

P(M) = P(M|D) * P(D) + P(M|not D) * P(not D)

= 1 * 0.03 + 0.21 * 0.97

= 0.2391

Therefore, we have:

P(D|M) = 1 * 0.03 / 0.2391

= 0.1258 or approximately 0.13 (rounded to 2 decimal places)

So the probability that a customer will default given that they have missed a monthly payment is about 0.13.

(b) The bank should recall its card from a customer who has missed a monthly payment if the probability that the customer will default is greater than 0.20. From part (a), we know that the probability of default given that a customer has missed a monthly payment is about 0.13, which is less than 0.20. Therefore, the bank should not recall its card from this customer.

To learn more about probability please click on below link        

https://brainly.com/question/11034287

#SPJ4

If the amount of jen's monthly phone bill is normally distributed with a mean of $86 and standard deviation of $9, Between the values of $77 and $95 inclusive, 68.26% of Jen's phone bills are expected to fall.

To find the values between which 68.26% of Jen's phone bills lie, we need to use the properties of the normal distribution and the empirical rule.

The empirical rule states that for a normal distribution, approximately 68% of the data lie within one standard deviation of the mean. Therefore, we can find the values between which 68.26% of Jen's phone bills lie by calculating the range of values that are one standard deviation away from the mean.

Using the given population mean of $86 and population standard deviation of $9, we can calculate one standard deviation as follows:

One standard deviation = population standard deviation = $9

To find the lower and upper bounds for 68.26% of Jen's phone bills, we can subtract and add one standard deviation from the mean, respectively:

Lower bound = population mean - one standard deviation = $86 - $9 = $77

Upper bound = population mean + one standard deviation = $86 + $9 = $95

To learn more about distribution click on,

https://brainly.com/question/5436053

#SPJ4

Answer:angle nkl is congruent to angle zwx

Step-by-step explanation: it is equal so it matches

Answer:

angle nkl is congruent to angle zwx

Step-by-step explanation:

The price elasticity of demand measured using midpoint method, for a price change between $10 and $2 can be determined as follows:Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]Given that P1 = $10, P2 = $2, Q1 = Q2, and the price has decreased from $10 to $2.

Therefore, the midpoint price (P) = (P1 + P2) / 2 = ($10 + $2) / 2 = $6The midpoint quantity (Q) = (Q1 + Q2) / 2 = Q1 / 2 + Q2 / 2 = Q / 2 + Q / 2 = Q.ΔP = $2 − $10 = −$8ΔQ = Q − Q = 0Hence, the absolute value of the price elasticity of demand using the midpoint method for a change in price from $10 to $2 is :Price elasticity of demand (mid-point method) = [ΔQ / {(Q1 + Q2)/2}] ÷ [ΔP / {(P1 + P2)/2}]E = [0 / {Q / 2}] ÷ [−8 / $6]E = 0 ÷ −1.3333E = 0

So, the correct answer is option B: 1.

To know more about elasticity visit:

https://brainly.com/question/30999432

#SPJ11

Answer:

no solution

Step-by-step explanation:

5n + 1 = 5n - 1 ( subtract 1 from both sides )

5n = 5n - 2 ( subtract 5n from both sides )

0 = - 2 ← not possible

this indicates that the equation has no solution

Answer:

mean = 3.86

Step-by-step explanation:

mean is calculated as

mean = \(\frac{sum}{count}\) = \(\frac{6.8+5.7+0.8+4.7+1.3}{5}\) = \(\frac{19.3}{5}\) = 3.86

Answer:

9

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

The degree of the given polynomial is 9

Polynomial is made up of two terms, namely Poly (meaning “many”) and Nominal (meaning “terms.”). A polynomial is an expression composed of variables, constants, and exponents, combined using mathematical operations such as addition, subtraction, multiplication, and division (No division operation by a variable). Based on the number of terms present in the expression, it is classified as monomial, binomial, and trinomial. For example P(x) = x2-5x+11

Given here; a polynomial function with leading term 8x⁹

Now The Degree of a Polynomial is the largest of the degrees of the individual terms. The degree of an individual term of a polynomial is the exponent of its variable and the highest degree of the terms given in the expression is the degree. And thus the expression with leading  term 8x⁹ is 9

Hence, The degree of the given polynomial is 9

Learn more about polynomial expressions here:

https://brainly.com/question/11536910

#SPJ2

Its B. Draw a similar arc from the other endpoint using the same opening.

The last step is to draw a line connecting the intersection of the arcs below and above the segment. Option C is correct.

Given that,
To determine the last step to complete a perpendicular bisector construction.

Geometry is the mathematical study of figures and shapes.

Here,
Steps to construct the perpendicular bisector.
Step 1: Draw a line segment.
Step 2: Take a compass, and with endpoints as the center and with more than half of the line segment as width, draw arcs above and below the line segment.
Step 3: Repeat the same step with another endpoint as the center.
Step 4: Draw a line connecting the intersection of the arcs below and above the segment.

Thus, the last step is to draw a line connecting the intersection of the arcs below and above the segment. Option C is correct.

Learn more about geometry here:

https://brainly.com/question/22081359
#SPJ2

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

More can be learned about supplementary angles at brainly.com/question/2046046

#SPJ1

The value of (k) that satisfies the conditions is (k = 2).

To find the value of (k) such that (y - x), (y - 2x), and (y - kx) are all factors of (x^3 - 3x^2 + pxy^2 + 2y^3), we need to determine the common roots of these three factors.

Let's set each factor equal to zero:

(y - x = 0)   ---- (1)

(y - 2x = 0)  ---- (2)

(y - kx = 0)  ---- (3)

From equation (1), we have (y = x).

From equation (2), we have (y = 2x).

Substituting these values of (y) in equation (3), we get:

(2x - kx = 0)

Simplifying, we have:

((2 - k)x = 0)

For this equation to hold true for any value of (x), the coefficient ((2 - k)) must be equal to zero. Therefore:

(2 - k = 0)

Solving for (k), we find:

(k = 2)

Thus, the value of (k) that satisfies the conditions is (k = 2).

Learn more about   value  from

https://brainly.com/question/24078844

#SPJ11

Answer:

the first option

Step-by-step explanation:

(f-g)(x) simply means to subtract both expressions. really literally.

and we go through it power by power of x.

the highest power/exponent of x is 3 (x³). only f(x) has one.

so, -7x³ is the first part of f-g.

next is x².

11x² - 6x² = 5x², which is the second part of f-g.

next is x.

-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.

next is x⁰ (in other words, no x, just a constant).

4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.

we have no x to the power of -1 or -2, so we have -3

0 - (-4x‐³) = 4x‐³, which is the last part of f-g.

so, it is clearly the first answer option.

A ternary string is a string composed of characters 0, 1, and 2. The number of ternary strings that contain exactly n characters, each of which is one of three types, is 3^n.Exactly 5 0s, 5 1s, and 5 2s are required for the ternary string, which means that the total number of characters is 15.

Each of these characters can be one of three types (0, 1, or 2). As a result, the total number of possible strings is 3^15. This is equivalent to 14,348,907. We arrived at this conclusion by computing 3 to the fifteenth power.Explanation:When constructing a sequence of three symbols, the first symbol has three alternatives, the second symbol has three alternatives, and so on. There are n choices for each of the n characters, resulting in a total of 3^n possible sequences.Example 1:Let's assume we have to create 5-character sequences with three symbols: a, b, and c. There are 3*3*3*3*3 = 243 possible sequences since there are three choices for each symbol.Example 2:Let's assume we have to construct a 10-character sequence using three symbols: 0, 1, and 2. There are 3*3*3*3*3*3*3*3*3*3 = 59,049, a total of 59,049 possible 10-character sequences. We can perform the same calculation for 15-character strings using the same logic.

To know more about ternary string, visit:

https://brainly.com/question/30733275

#SPJ11

Answer:

The 3rd one

Step-by-step explanation: It is hard to explain maybe watch a video on it.

Please give brainlyest

Answer:

\(\huge\boxed{\sf -2.280}\)

Step-by-step explanation:

Finding value of log₃(4/49):

\(\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)\\\\\)

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

\(= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}\)

Step-by-step explanation:

your answer is 60

hope it helps :)

try this...............

Answer:

Step-by-step explanation:

Oh then you just multiply it

Answer:

-2-(-3)

= -2+3

= 1

Hence, it is not equal to -5

Answer:

-2-(-3)

= -2+3

= 1

Therefore-2-(-3) is not equal to -5

The large cube has a length of 7 inches each side and it's volume is 343 cubic inches.

Given,

The length of the small cube, a = 3.5 inch

The length of large cube = 2a = 2 × 3.5 = 7 inches

Now,

We have to find the volume of large cube

Volume;-

The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Here,

Volume of cube = a³

Volume = 7³ = 343 cubic inches

That is,

The length of side of the large cube is 7 inches and the volume of large cube is 343 cubic inches.

Learn more about volume of cube here;

https://brainly.com/question/11168779

#SPJ4

Given question is incomplete. The completed question is;

A small cube has a length of 3.5 inch. The length of large cube is twice the small cube. Find the volume of the large cube.

Analyze each plan according to the given specifications.

Plan A:

The basic fee must be added to the product of 0.13 and the average messages sent.

Plan B:

It already includes the cost for unlimited messages.

Plan C:

The plan costs the product of 0.28 and the average messages sent.

When comparing these plans, the cheapest one is Plan B, which only costs $53.00.

Answer:

A

Step-by-step explanation:

The cube has 6 surfaces with side lengths 4 by 4. Each of the faces has area 4*4=16 units, and multiplying this by 6 yields 96 units, or answer choice A. Hope this helps!

The surface area of the given cube is 96 square units, option A is correct.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The formula to find the surface area of cube is 6s²

Where s is the side length of cube

s=4 from the given cube

Plug in the value of s in surface area formula

surface area = 6(4)²

=6×16

=96 square units

Hence, the surface area of the given cube is 96 square units, option A is correct.

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ5

Answer:

Step-by-step explanation:

The variable P0 represents the initial amount.

In the exponential growth model, P(t) represents the population at time t, P0 represents the initial population at time t=0, k represents the growth rate, and e is the mathematical constant, approximately equal to 2.71828. Therefore, P0 represents the initial amount or the starting point of the population.

The correct answer is B, the variable P0 represents the initial amount.

B. The variable P0 represents the initial amount.

In the exponential growth model P(t) = P0 * e^(kt), the variables are defined as follows:
- P(t): The population size at time 't'
- P0: The initial population size (i.e., the population size at the beginning, when t=0)
- e: The base of the natural logarithm (approximately 2.71828)
- k: The growth rate constant
- t: Time

In this model, P0 is the population size at the beginning of the observed period (when t=0). Therefore, it represents the initial amount.


The variable P0 in the exponential growth model P(t) = P0 * e^(kt) represents the initial amount of the population or quantity being studied.

To learn about more exponential visit;

https://brainly.com/question/29160729

#SPJ11

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

In mathematics, an inequality is a connection between two values or mathematical equations that results in an unequal comparison.

The signs that we use in Inequalities are less than( < ), less than or equal to ( ≤ ), greater than ( > ), greater than or equal to ( ≥ ), and not equal to (≠) sign.

Lets us consider we have inequality 3x + 2 + x ≥ 10

We can solve the above inequality as given below

Here we will solve the inequality by Isolating the variable  

Step - 1

Add x term and constant terms

=> 4x + 2 ≥ 10   [ here 3x + x = 4x ]

Step - 2  

Bring out x terms at one side, and constant terms at another side by doing required operations like adding

=> 4x + 2 ≥ 10    [ here we will subtract 2 from both sides ]

=> 4x + 2 - 2  ≥ 10 - 2

=> 4x  ≥ 8  

Step - 3

Now isolate the variable to get the solution

=>  4x/4  ≥ 8/4         [ here divided by 4 ]

=> x  ≥ 2  

Therefore, the required solution is x ≥ 2    

Therefore,

We can solve the Inequalities by Isolating the variables that are present in the given Inequality.

Learn more about Inequalities at

https://brainly.com/question/28823603

#SPJ4

Answer:

-2x² + 90x + 500

Step-by-step explanation:

Use FOIL method

Area of rectangle = length * width

                             = (50 - x)(2x + 10)

                             = 50*(2x) + 50*10 + (-x)*2x + (-x)*10

                             = 100x + 500 - 2x² - 10x

                             = -2x² + 100x - 10x + 500  {Combine like terms}

                            = -2x² + 90x + 500

Answer:

- (x + 10 )

Step-by-step explanation:

Given:

-x-10

Factor out -1                  {-x is the same as -1}

= - (x+10)

~Lenvy~

It would equal

6a^2-19a-20

Answer:

6a^2−25a−25 this is the answer to number 5

The system of inequalities that represents this scenario is;

x² - 2y ≥ 7000

2x + 5y < 1000

We are given that;

Value of company's stock = x² - 2y

Now, purchases by the company is modeled by; 2x + 5y

We are now told that the company’s goal is to maintain a stock value of at least $7,000. This means the stock value must be greater than or equal to $7000. Thus, this inequality is;

x² - 2y ≥ 7000

Now, we are told that the purchases must be kept below $1000. This means less than $1000 and as such the inequality is;

2x + 5y < 1000

Read more about system of Inequalities at; https://brainly.com/question/28230245

#SPJ1