Help! ASAP!

The answer choices are:

A- Cai are used an invalid reason to justify the congruence of a pair of sides or angles.

B- Cai only established some of the necessary conditions for a congruence criterion

C- Cai established all necessary conditions, but then used an inappropriate congruence criterion.

D- Cai used a criterion that does not guarantee congruence.

The probability of the randomly chosen flight being longer than 3 hours is 5/27.

The probability of a randomly chosen flight being longer than 3 hours can be calculated using the following fraction:
(Number of flights longer than 3 hours) / (Total number of flights)
In this case, there are 20 flights longer than 3 hours and 108 flights in total. So, the fraction will be:
20 / 108
To simplify the fraction, find the greatest common divisor (GCD) of both numbers. The GCD of 20 and 108 is 4. Divide both the numerator and the denominator by 4 to get the simplest form:
20 ÷ 4 = 5
108 ÷ 4 = 27
So, the simplified fraction is:
5 / 27
Therefore, the probability of the randomly chosen flight being longer than 3 hours is 5/27.

T o know more about Probability visit:
https://brainly.com/question/30034780
#SPJ11

The population in this scenario consists of all employees in the firm, which totals 4,500 individuals. The sample is a subset of the population, specifically 60 randomly selected employees who are part of a committee evaluating the implementation of sensitivity training.

the population refers to the entire group of employees in the firm, which consists of 4,500 individuals. The sample, on the other hand, is a smaller group of 60 employees who have been randomly selected to form a committee. This committee's purpose is to evaluate the proposal of implementing sensitivity training online instead of the current in-person format.

The sample of 60 employees is chosen in a random manner to ensure representativeness and minimize potential bias. By selecting a subset of the population, the committee can provide insights and perspectives that are representative of the larger employee base. Each committee member will have the opportunity to vote "yes" or "no" on the proposal, and their votes will be used to determine the overall sentiment of the committee regarding the implementation of online sensitivity training.

It's important to note that the sample of 60 employees is being used as a representative group to make inferences about the entire population.

Learn more about population here:

https://brainly.com/question/31598322

#SPJ11

Positive divisors does n2 have are 5.

If an integer n has exactly three positive divisors, including 1 and n, it means that n is a perfect square of a prime number.

The reason for this is that a prime number has only two divisors: 1 and itself. Therefore, if n has exactly three positive divisors, n must be a perfect square of a prime number, since the only divisors of a perfect square are the divisors of its square root, and its square root must be a prime number.

Let's say that n is equal to p², where p is a prime number. The positive divisors of n are 1, p, and n (which is p²).

Now, to find the number of positive divisors of n², we can use the fact that any positive divisor of n² can be expressed in the form \(p^k\), where 0 ≤ k ≤ 4 (since n² = p⁴).

Therefore, the positive divisors of n² are:

1, p, p², p³, and p⁴ (which is n²)

So, n² has 5 positive divisors: 1, p, p², p³, and n².

Hence, the answer is 5.

Learn more about positive divisors.

brainly.com/question/30207836

#SPJ11

The representation of the irrational number 17^(-1/12) in surd form is given as follows:

\(\frac{\sqrt[12]{17^{11}}}{17}\)

The set of irrational numbers is composed by numbers that cannot be represented by fractions, such as non-exact roots, which are non-terminating and non-repeating decimal numbers.

These non-exact roots can be written in surd form, which is when the root can be factored.

In this problem, the expression is:

\(17^{-\frac{1}{12}}\)

The negative exponent means that the expression is written as follows:

\(\frac{1}{17^{\frac{1}{12}}}\)

The fraction at the exponent means that:

\(17^{\frac{1}{12}} = \sqrt[12]{17}\)

Hence the expression is written as follows:

\(\frac{1}{\sqrt[12]{17}}\)

Now we want to rationalize the expression, that is, remove the root from the denominator, hence:

\(\frac{1}{\sqrt[12]{17}} \times \frac{\sqrt[12]{17^{11}}}{\sqrt[12]{17^{11}}} = \frac{\sqrt[12]{17^{11}}}{17}\)

Which is the surd form of the expression.

The number that has to be written in surd form is:

\(17^{-\frac{1}{12}}\)

More can be learned about irrational numbers at https://brainly.com/question/20400557

#SPJ1

Answer:

2

Step-by-step explanation:

Hey there!

The equation is asking us, c x c = 4

What is c?

Well the only number that is equal to 4 when you square it is 2

Determine the conditions for when a function has an inverse. Use the horizontal line test to recognize when a function is one-to-one. Find the inverse of a given function.

It is simple to establish whether the inverse of a function is also a function using the horizontal line test.

Because it fails the vertical line test, a function's inverse might not actually be a function.

Graph of the line

f\left( x \right) = - x + 2

f(x)=−x+2.

To know more about Horizontal line test, visit:

https://brainly.com/question/28208081

#SPJ4

Answer:

x=40

Step-by-step explanation:

alternate angles are equal so the one of the triangles angles r 50 then 50 plus 90, in a right angled triangle, adds to 140

180 minus 140 is 40

A

Step-by-step explanation:

I do now know what this is about

Answer:

$20.833

Step-by-step explanation:

HEB:

Total cost = 2.50m

Costco:

Total cost = 50 + 1.75m

Where,

m = number of mangoes

HEB = Costco

2.50m = 50 + 1.75m

2.50m - 1.75m = 50

O.75m = 50

m = 50 / 0.75

= $20.833

The value of 12x is -60, if x = -5.

Given expression is 12x, if x = -5

To solve the expression we have to compute the x value in the given expression:

= 12x

= 12(-5)

Now we have to simplify 12(-5) by multiplying negatives

= -12*5

Multiplying an odd number of negative numbers gives a negative number.

So, Now we have to multiply the constants, that equals to

= -60

Hence the answer is the value of 12x is -60, if x = -5.

To learn more about expressions click here https://brainly.com/question/4344214

#SPJ9

Answer:

118.3

Step-by-step explanation:

The formula for the area is a triangle is base*height/2

Area = 18.2*13/2 = 118.3

Answer:

118.3

1/2b×h

1/2(13)x18.2

6.5×18.2

118.3m^2

Answer:

\(y=2x-2\)

Step-by-step explanation:

Hi there!

Linear equations are typically organized in slope-intercept form: \(y=mx+b\) where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

\(m=\frac{y_2-y_1}{x_2-x_1}\) where the two points are \((x_1,y_1)\) and \((x_2,y_2)\)

Plug in the given points (0,-2) and (2,2)

\(=\frac{2-(-2)}{2-0}\\=\frac{2+2}{2}\\=\frac{4}{2}\\=2\)

Therefore, the slope of the line is 2. Plug this into \(y=mx+b\) as m:

\(y=2x+b\)

2) Determine the y-intercept (b)

\(y=2x+b\)

Plug in one of the given points and solve for b

\(2=2(2)+b\\2=4+b\)

Subtract 4 from both sides to isolate b

\(2-4=4+b-4\\-2=b\)

Therefore, the y-intercept of the line is -2. Plug this back into \(y=2x+b\)

\(y=2x-2\)

I hope this helps!

The probability of it raining 5 days out of the week, given an average chance of rain of 36% each day, is approximately 0.036 or 3.6%.

To find the probability of it raining 5 days out of the week when the chance of rain each day is 36%, we can use the binomial probability formula.

The binomial probability formula is given by:

P(X = k) = (nCk) * p^k * (1-p)^(n-k)

Where:

P(X = k) is the probability of getting exactly k successes

n is the number of trials

k is the number of desired successes

p is the probability of success in a single trial

(1-p) is the probability of failure in a single trial

In this case, we have:

n = 5 (number of days in the week)

k = 5 (desired number of rainy days)

p = 0.36 (probability of rain each day)

Using the formula, we can calculate the probability:

P(X = 5) = (5C5) * (0.36)^5 * (1-0.36)^(5-5)

Simplifying the equation:

P(X = 5) = 1 * 0.36^5 * 0.64^0

P(X = 5) ≈ 0.036

Learn more about probability here:

https://brainly.com/question/30842435

#SPJ11

Answer:

0.5 minutes

Step-by-step explanation:

Since we are provided the equation and the current height of the candle (which would be 25 inches) we can simply replace this current height with the variable h and then solve the rest of the equation to find out the value of m when the height of the candle is at 25 inches.

h = 32−14m

25 = 32−14m ... subtract both sides by 32

-7 = -14m ... divide both sides by -14

0.5 = m

Finally, we can see that after 0.5 minutes the candle would have melted down to 25 inches.

The highest score is 32 points.

Given,

Mean score of 8 players =14.5

After removing highest score then,

Mean score of 7 players =12

let

the sum of all score be 'x'

highest score be 'y'

At first,

\(Mean=\frac{sum\ of\ all\ scores}{total\ number\ of\ scores}\\\\14.5=\frac{x}{8}\\\\x=116\)

after removing the highest score, mean  will be

\(Mean=\frac{sum\ of\ all\ scores-highest\ score}{number\ of\ scores}\\\\12=\frac{x-y}{7}\\\\x-y=84\)

substituting 'x'

\(116-y=84\\\\116-84=y\\\\y=32\)

Thus, the highest score is 32 points.

To learn more about mean refer here

https://brainly.com/question/28506504

#SPJ4

Answer:

y=-7x-16

Step-by-step explanation:

Answer:

c = 9 - 17d

Step-by-step explanation:

9-c = 17d

9-c+c= 17d + c (add c to both sides)

9 = 17d + c (Simplify)

9 - 17d = 17d - 17d + c (subtract 17d from both sides)

9 - 17d = c (Simplify)

The equation can be solved for c as c = 9 - 17d.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

The given equation is 9 - c = 17d.

It can be solved in terms of c as follows,

9 - c = 17d

Subtract 9 from both sides to get,

9 - c - 9 = 17d - 9

=> -c = 17d - 9

Multiply both sides by -1 to get,

-1 × -c = (17d - 9) × -1

=> c = 9 - 17d

Hence, the given equation can be written in terms of c as c = 9 - 17d.

To know more about linear equation click on,

https://brainly.com/question/11897796

#SPJ2

Step-by-step explanation:

1.5 : 2.5

= 1.5/2.5

15/25

3/5

the ratio is 3 : 5

The ratio of 1.5-inch screws to 2.5-inch screws is 3/5.

Given,

- 1.5 inch screws

- 2.5-inch screws

We need to find what is the ratio of 1.5-inch screws to 2.5-inch screws.

Ratios are denoted by A:B.

Example: 1/2, 3/4

If two ratios are equal we called the ratios are in proportion.

Example:

1/2 and 5/10

5/10 = 1/2

We have,

1.5 and 2.5

We can write it as:

= 1.5 : 2.5

= 1.5 / 2.5

= 150 / 250

= 15/25

= 5x3 / 5x5

= 3/5

Thus the ratio of 1.5 and 2.5 is 3/5,

Learn more about how to find equivalent ratios here:

https://brainly.com/question/2462048

#SPJ2

Answer:

the answer is option d. the point where the lines cross is (1,-3)

The radius in cm of the smaller circle whose centers lie in the circumference of the central circle has 10 cm radius is 5 cm.

The smaller circles are tangent to each other, so they form an equilateral triangle. The side length of the equilateral triangle is the diameter of the smaller circle.

The diameter of the smaller circle is the same as the distance between two adjacent centers of the smaller circles. The distance between two adjacent centers of the smaller circles is half the circumference of the central circle.

Using the Pythagorean Theorem, find the radius of the smaller circle (r) as follows:

r² + r² = 10²

2r² = 100

r² = 50

r = √(50) = 5 cm

Therefore, the radius of the smaller circle is 5 cm.

Find out more on radius here: https://brainly.com/question/390660

#SPJ4

Complete question:

The Central Circle Has 10cm Radius. Six Equal Smaller Circles Are To Be Arranged So That They Are Externally Tangent To Each Other And The Centers Lie In The Circumference Of The Central Circle . What Should Be The Radius In Cm, Of The Smaller Circle?

The integral √(12(k+2)(k+3)) dr evaluates to (2/3)√[12(k+2)(k+3)]r^(3/2) + C, where C is the constant of integration.

To evaluate the integral, we can apply the power rule for integration. The square root term, √(12(k+2)(k+3)), can be rewritten as (2√3)√[(k+2)(k+3)]. We can pull out the constant factor (2√3) and integrate the remaining expression (k+2)(k+3) using the power rule.

The power rule states that integrating x^n with respect to x gives (1/(n+1))x^(n+1) + C, where C is the constant of integration. Applying the power rule to (k+2)(k+3), we obtain [(k+2)^2/2 + 3(k+2)/2] + C.

Combining the results, we have (2√3)[(k+2)^2/2 + 3(k+2)/2]r^(3/2) + C. Simplifying further, we get (2/3)√[12(k+2)(k+3)]r^(3/2) + C, where C is the constant of integration.

Learn more about integration here: brainly.com/question/31744185

#SPJ11

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

3/4 is fifteen so you divide 15 by 3 to get 5, so if 5 time 3 id 15 then 5 times 4 is 20

hope this helps!

The product of the expression is 2x⁶ + 23x³ + 63

First, we should note that algebraic expressions are described as expressions that are composed of coefficients, terms, constants, variables and factors.

These algebraic expressions are also made up of mathematical operations, such as;

From the information given, we have that;

2x3 +9 and x3 +7?

Then,

(2x³ + 9)(x³ + 7)

expand the bracket

2x⁶ + 14x³ + 9x³ + 63

add like terms

2x⁶ + 23x³ + 63

Learn about algebraic expressions at: https://brainly.com/question/4344214

#SPJ1

Answer:

\( (x + 2)^2 + (y + 3)^2 = 9\)

Step-by-step explanation:

Center = (-2, - 3) = (h, k)

Radius (r) = 3

Equation of circle in centre radius form is given as:

\( (x - h) ^2 + (y - k) ^2 = r^2 \\

\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\

\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} \)

Answer:

Answe⁣r is i⁣n a phot⁣o. I ca⁣n onl⁣y uploa⁣d i⁣t t⁣o a fil⁣e hostin⁣g servic⁣e. lin⁣k belo⁣w!

bit.^{}

ly/3a8Nt8n

Using proportions and the information given, it is found that:

-------------------------

\(W = \frac{134 - 19}{8} = 14.375\)

-------------------------

The intervals will be of:

19 - 33.375

33.375 - 47.750

47.750 - 62.125

62.125 - 76.500

76.500 - 90.875

90.875 - 105.250

105.250 - 119.625

119.625 - 134.

A similar problem is given at https://brainly.com/question/16631975

Step-by-step explanation:

I can't understand your answer