Which composition of two rigid motions maps ️ABC to ️A'B'C'

Answer:

(-1,5)

Step-by-step explanation:

Answer:

1. 69.15% probability that the project will be completed on day 32 or earlier

2. 15.87% probability that the project will be delayed

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation(which is the square root of the variance) \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 30, \sigma = \sqrt{16} = 4\)

1. What is the probability that the project will be completed on day 32 or earlier?

This is the pvalue of Z when X = 32. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{32 - 30}{4}\)

\(Z = 0.5\)

\(Z = 0.5\) has a pvalue of 0.6915

69.15% probability that the project will be completed on day 32 or earlier

2. Suppose the official deadline for the project is 34 days. What is the probability that the project will be delayed?

This is 1 subtracted by the pvalue of Z when X = 34. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{34 - 30}{4}\)

\(Z = 1\)

\(Z = 1\) has a pvalue of 0.8413

1 - 0.8413 = 0.1587

15.87% probability that the project will be delayed

           If we use a simple example, the additive inverse of 5 is -5. This is because -5 + 5 = 0.

           It is the same with fractions, if we take one half, \(-\frac{1}{2}\) + \(\frac{1}{2}\) = 0

           A rational number is a number that can be written as an integer or a fraction without having a 0 in the denominator.

("In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. ")

           Basically, the sum of a fraction / rational number and its additive inverse is equal to 0 because you are adding together "opposites" with regards to negative / positive. They are the same number, just different sides of the number line.

Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

Answer:

18

Step-by-step explanation:

Since 7×3=21

Then 6×3=18

We times top and bottom by 3 to make it equivalent.

Answer:

6/7 = 18/21

Step-by-step explanation:

Least Common Multiple

7, 14, 21 = 3

-

6 x 3 = 18

6/7 = 18/21

Answer:

and "Bumps"

Purplemath

Graphs of polynomials don't always head in just one direction, like nice neat straight lines. Instead, they can (and usually do) turn around and head back the other way, possibly multiple times. Each time the graph goes down and hooks back up, or goes up and then hooks back down, this is a "turning" of the graph.

I refer to the "turnings" of a polynomial graph as its "bumps". This isn't standard terminology, and you'll learn the proper terms (such as "local maximum" and "global extrema") when you get to calculus, but, for now, we'll talk about graphs, their degrees, and their "bumps".

For instance, the following graph has three bumps, as indicated by the arrows:

y = (1/50)(x + 5)(x^2)(x – 5), crossing at x = –5 and x = 5, and just touching at x = 0

Answer:

(x, y) --> (2/3x, 2/3y)

Step-by-step explanation:

Answer:

a) Trials are independent, and there is a fixed number of trials, which means that the binomial probability distribution can be used.

b) 0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

a)

For each senior, there are only two possible outcomes. Either they disapprove daily pot smoking, or they do not. The seniors are selected at random, which means that the probability of one disapproving daily pot smoking is independent of other seniors, that is, the trials are independent. There is also a fixed number of trials.

b)

70% disapprove of daily pot smoking, according to a report in Parade, which means that \(p = 0.7\)

12 seniors means that \(n = 12\)

The probability is P(X = 1).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 1) = C_{12,1}.(0.7)^{1}.(0.3)^{11} = 0.000015\)

0.000015 = 0.0015% probability that exactly one of the 12 seniors disapproves daily pot smoking

Answer: (-4,-2), (-2, 1), (1,4), (4,4)

Step-by-step explanation: all you have to do is start with x then go to y and repeat

Answer:

x=9.64385618

Step-by-step explanation:

I used an app to solve it

A. True.

In a two-column proof, the left column consists of statements, which are the facts or assumptions that lead to the proof of the theorem, while the right column consists of the reasons or justifications that explain how each statement logically follows from the previous one. Therefore, the left column states your reasons is a true statement.

The answer to the student's question is True. In a two-column proof, the left column contains the statements (steps) and the right column contains the corresponding reasons (justifications).

The answer to the question, 'True or false? In a two-column proof, the left column states your reasons', is A. True.

A two-column proof is organized into two columns. The left column contains the 'Statements' and the right column contains the corresponding 'Reasons'. The 'Statements' are the steps that lead to the conclusion of the proof, while the 'Reasons' justify each of those steps according to rules or laws of mathematics.

For example, if we want to prove that the opposite angles of a parallelogram are equal. The left column (Statements) could contain the first step 'ABCD is a parallelogram' and the right column (Reasons) would give the explanation 'Given'. Therefore, in a two-column proof, the left column does represent statements, not reasons.

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Answer:

B.

Step-by-step explanation:

Since C and A are parallel

and B is perpendicular to C

then B is also perpendicular to A

meaning they have the same angle so 90 Degrees.

Answer:

28th

Step-by-step explanation:

an=-3+5n

137=-3+5n

140/5=n

n= 28

Using the function f(x) = 1/2 x and the inverse of the function f⁻¹(x) = 2x, the solutions of the given are :

f(2) = 1, f⁻¹(1) = 2, f⁻¹(f(2)) = 2

f⁻¹(-2) = -4, f(-4) = -2, f(f⁻¹(-2)) = -2

Given a function,

f(x) = 1/2 x

And an inverse function,

f⁻¹(x) = 2x

We have to find the values of the following.

f(2) = 1/2 × 2 = 1

f⁻¹(1) = 2 × 1 = 2

f⁻¹(f(2)) = f⁻¹(1) = 2 × 1 = 2

f⁻¹(-2) = 2 × -2 = -4

f(-4) = 1/2 × 4 = -2

f(f⁻¹(-2)) = f (-4) = 1/2 × 4 = -2

So, in general, f⁻¹(f(x)) = f(f⁻¹(x))

Learn more about Inverse Functions here :

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Answer:

6555

Step-by-step explanation:

Again you can you Distributive property to answer this question here is how-To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

Answer:

6555

Step-by-step explanation:

Answer:

ummm c

Step-by-step explanation:

Answer:

6, 8, 6, 8, 10

Step-by-step explanation:

2x3=6

2x4=8

3x2=6

4x2=8

5x2=10

Answer:

1.99

Step-by-step explanation:

17 /7 −3 /7 = 2

14 /7 ÷ 7 =2 /1

Answer:

x=29

Step-by-step explanation:

We know y is 16. We can write 16 instead of y in the equation.

y=x-13

16=x-13

Now we can add 13 to both sides of the equation.

16+13=x-13+13

29=x

x is equal to 29.

Answer:

x = 29

Step-by-step explanation:

since y = 16

16 = x -13

Add 13 to both sides of the equation

16 + 13=x-13+13

Simplify

x = 29

[RevyBreeze]

Answer:

\(m_{perpendicular}\) = 6

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

x + 6y = - 24 ( subtract x from both sides )

6y = - x - 24 ( divide through by 6 )

y = - \(\frac{1}{6}\) x - 4 ← in slope- intercept form

with slope m = - \(\frac{1}{6}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{-\frac{1}{6} }\) = 6

Answer:

137°

Step-by-step explanation:

ACD = ACB+BCD

ACD= 75°+62°= 137°

Answer:

Angle ACD = ANGLE ACB + BCD

=75°+62

= 137°

Answer:

Im probably very wrong and im sorry but it would be C for me.

Step-by-step explanation:

if it is right can i get brainliest

Answer:

A) 12 inches by 20 inches

Step-by-step explanation:

Dilation of a scale factor means to increase by a factor of 4.
That basically mean multiply the object by 4.

Therefore 3 inches x 4 = 12 inches

And 5 inches x 4 = 20

Answer:

-4

Step-by-step explanation:

-6 - 2 = -4

Answer:

the x coordinate is 1 and the y coordinite is 5

Answer:

like 10 i think

Step-by-step explanation:

the flat line is the time it spends stopped im pretty sure so that would be 10 seconds

The correct answer is D. No because 23 and 25 are not supplementary.

In the given diagram, it is stated that the measures of angles 23 and 27 are 45°, and the measure of angle 25 is 135°. To determine if lines C and D are parallel, we need to analyze the angles formed by these lines.

If the alternate interior angles or corresponding angles are congruent, then the lines are parallel. However, in this case, we don't have enough information about the angles formed by lines C and D to make that determination.

The fact that angle 23 and angle 27 are congruent (both measuring 45°) doesn't provide any information about the relationship between lines C and D. Similarly, the measure of angle 25 being 135° doesn't give us any insight into the parallelism of lines C and D. Therefore, we cannot conclude that lines C and D are parallel based on the given information, and the correct answer is D.

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