Bruna is comparing the pay for advertised jobs. Which
2
22 ways could Bruna find the best paying job?

The expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

Let's consider the probability that all three frogs are at different vertices at a given time. The first frog can land on any of the 12 vertices, the second frog can land on either of the two adjacent vertices to the first frog, and the third frog can land on either of the two adjacent vertices to the second frog that are not adjacent to the first frog. Therefore, the probability that all three frogs are at different vertices is:

\(P(all $ different) = 12 * 2/11 * 2/10 = 24/55\)

If all three frogs are at different vertices, then none of them can jump to the other two vertices adjacent to their current position, otherwise they will meet. Therefore, the next time they can meet is after the first jump of the frog that is alone, and this will happen with probability 1/3.

If two frogs meet, the expected number of minutes until the third frog joins them is just the expected number of minutes until two frogs meet, which is the same as the expected number of minutes until the frogs stop jumping. Therefore, it suffices to compute the expected number of minutes until the frogs jump to the same vertex for the first time, given that all three frogs are at different vertices.

Let T be the expected number of minutes until the frogs jump to the same vertex for the first time. Conditioning on the first jump, we have:

\(T = 1/3 * 1 + 2/3 * (T + 1)\)

The first term corresponds to the case where the frog that is alone jumps to one of the two vertices adjacent to one of the other frogs and they meet. The second term corresponds to the case where the frog that is alone jumps to the vertex adjacent to the other frog and the third frog jumps to the same vertex with probability 1/2, or they jump to different vertices with probability 1/2 and we are back to the starting position, but with one less frog being alone.

Solving for T, we get:

T = 4

Therefore, the expected number of minutes until the frogs stop jumping is 4, regardless of their initial positions.

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Answer:

0.5

Step-by-step explanation:

use a cauculator

Answer:

0.50

Step-by-step explanation:

You can rewrite this as 1.25 - 0.75. When you do this, you will get 0.50

To solve this problem, we can use the binomial probability formula:

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

Where:
- P(X=k) is the probability of getting k nonconforming washing machines in the sample
- n is the sample size, which is 10 in this case
- p is the probability of getting a nonconforming washing machine, which is 0.08
- (n choose k) is the binomial coefficient, which is the number of ways to choose k items from n without replacement, and is calculated as n! / (k! * (n-k)!)

So, to find the probability of getting 1 nonconforming washing machine in the sample, we plug in k=1:

P(X=1) = (10 choose 1) * 0.08^1 * (1-0.08)^(10-1)
P(X=1) = 10 * 0.08 * 0.9227
P(X=1) = 0.0738

Therefore, the probability of getting 1 nonconforming washing machine in the sample is approximately 0.0738, or 7.38%.

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Answer:

$13024.00

Step-by-step explanation:

Use the compound interest formula we learned in algebra 1.

Explanation: We subtract the given value from 1

1-0.31 = 0.69

The complement of an event is the complete opposite.

Example: heads vs tails

Based on the rating factor of 75%, the normal time for the job element would be 11.19 seconds.

When given the rating factor, the normal time can be found as:

= Average time for the job element x Rating factor

Average time for the job factor is:

= [(10 x 18) + (15 x 25) + (20 x 17)] / (18 + 25 + 17)

= 14.92 seconds

The normal time for the job element is therefore:

= 14.92 x 0.75

= 11.19 seconds

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x=\(\frac{y+1o}{4}\) is the solution of the eqution y=4x+10.

An liner equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

From the question  y=4x-10

add 10 both side

y+10=4x

Divide both side with 4

                x = \(\frac{y+1o}{4}\)

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NOTE: The given question is incomplete on the portal. Here is the complete question.

Question: What is the solution to the system of equation y = 4x - 10 ?

Answer:

slope is 0

Step-by-step explanation:

to find slope y2 - y1 / x2 - x1

(6, -2) and (12, -2)

-2 - (-2) / 12 - 6

= -2 + 2/6

= 0/6

= 0

Answer:

slope is 0

Step-by-step explanation:

The standard deviation of her total weekly pay is approximately $262.25 and the mean is $1075

Let X be the number of cars the salesperson sells in a week. Then, X follows a normal distribution with mean μ = 3.1 and standard deviation σ = 1.1.

The total weekly pay Y is given by the equation:

Y = $300 + $250X

Using the properties of means and variances of linear combinations of random variables, we can find the mean and standard deviation of Y as follows:

Mean of Y:

E(Y) = E($300 + $250X) = $300 + $250E(X) = $300 + $250(3.1) = $1075

Therefore, the mean of her total weekly pay is $1075.

Standard deviation of Y:

Var(Y) = Var($250X) = $250^2Var(X) = $250^2(1.1^2) = $68,750

Since the standard deviation is the square root of the variance, we have:

SD(Y) = sqrt($68,750) ≈ $262.25

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Answer:

\(4x + 8 = 2x + 3 + 51 \\ 4x - 2x = 54 - 8 = 46 \\ 2x = 46 \\ x = 46 \div 2 = 23 \\ 2x + 3 = 2 \times 23 + 3 = 49 \\ 51 \\ 80\)

enjoy it

Answer:

the answer is the third one

Answer:

= 5.291503x − 16.970563

Step-by-step explanation:

Answer: I believe that the BP segment is equal to BP segment because of the reflexive property.

Step-by-step explanation:

The required reason is that segment BP is congruent to segment BP that  Segment BP is the common side among both triangles.

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

Here,
The necessary explanation is that segment BP and segment BP are congruent because segment BP is the common side of both triangles BPS and BPY, as shown in the figure.

Thus, the required reason is that segment BP is congruent to segment BP and that  Segment BP is the common side among both triangles.

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The function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

It is defined as the function that rapidly increases and the value of the exponential function is always a positive. It denotes with exponent \(\rm y = a^x\)

where a is a constant and a>1

We have; an exponential function that passes through the point (2, 80).

f(x) = 4(x)⁵

Plug (2, 80) in the abovew function:

f(2) = 4(2)⁵ = 128 (false)

f(x) = 5(x)⁴

Plug (2, 80) in the abovew function:

f(2) = 5(2)⁴ = 80 (true)

f(x) = 4(5)ˣ

f(2) = 4(5)² = 100 (false)

f(x) = 5(4)ˣ

f(2) = 5(4)² = 80 (true)

Thus, the function f(x) = 5(x)⁴, and f(x) = 5(4)ˣ represents the function that passes through the point (2, 80) option second and fourth are correct.

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The distance from the point (6, 1, -1) to the plane x - 2y + 2z + 1 = 0 is 1 unit.

To find the distance from a point to a plane, we can use the formula for the distance between a point and a plane.

Let's denote the given point as P(6, 1, -1) and the equation of the plane as Ax + By + Cz + D = 0, where A, B, C, and D are the coefficients of the plane equation.

The formula for the distance (d) between a point (x0, y0, z0) and a plane Ax + By + Cz + D = 0 is:

d = |Ax0 + By0 + Cz0 + D| / √(A² + B² + C²)

In this case, the equation of the plane is x - 2y + 2z + 1 = 0, which can be written as 1x - 2y + 2z + 1 = 0.

Comparing coefficients, we have:

A = 1

B = -2

C = 2

D = 1

Substituting the values into the distance formula, we get:

d = |1(6) + (-2)(1) + 2(-1) + 1| / √(1² + (-2)² + 2²)

= |6 - 2 - 2 + 1| / √(1 + 4 + 4)

= |3| / √(9)

= 3 / 3

= 1

Therefore, the distance from the point (6, 1, -1) to the plane x - 2y + 2z + 1 = 0 is 1 unit.

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The number of people who received fewer than 100 spam messages in the university department is calculated below:

Total number of messages tagged as spam = 6693

Total number of people = 12

Total number of people who received more than 100 spam messages = 11

Number of people who received fewer than 100 spam messages = 1

The number of people who received fewer than 100 spam messages can be calculated by subtracting the total number of people who received more than 100 spam messages from the total number of people in the department.

Thus, the other 1 person received a total of: 6693 - (1818 + 1358 + 442 + 416 + 399 + 389 + 304 + 251 + 251 + 178 + 158 + 103) = 474

Graph illustrating the data collected from students and faculty in the department. it is clear that the majority of students and faculty members in the department received more than 100 spam messages. One person received fewer than 100 spam messages. The number of spam messages received seems to decrease with time, which may indicate that the spam filter is effective.

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Answer: The one on the left.

Step-by-step explanation:

There is no file, but the panda on the left is bigger.

The p-value for the test is approximately 0.2643. This indicates that there is a 26.43% chance of observing a sample proportion as extreme as 0.30 or greater, assuming the null hypothesis is true.

Since the p-value is greater than the significance level of 0.05, we do not have enough evidence to reject the null hypothesis. This means that we fail to find significant evidence that the current arrest rate is greater than the past arrest rate of 25%.

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Answer: 12:2, 18:3, 24:4

Step-by-step explanation: You can multiply 6 by 2, 3, and 4 because the graph has 4 columns. Then multiply the top by 2, 3, and 4,

Answer:

The angle shown is a straight line

- They always add up to 180 degrees.

So what you should do here is add uo both sides

74 + 69 = 143

Then take it away from 180 degrees to find x

180 - 143 = 37

So x = 37 degrees.

Answer:

b

Step-by-step explanation:

just move the shape with cordinantes of b

The rule that maps figure 1 onto figure 2 is B. (x,y)→(x-5, y+11)

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable).

If the original function is y = f(x), assuming horizontal axis is input axis and vertical is for outputs, therefore,

Horizontal shift (also called phase shift):

Left shift by c units:

y=f(x+c) (same output, but c units earlier)

Right shift by c units:

y=f(x-c)(same output, but c units late)

The correct option is B.

(x,y)→(x-5, y+11)

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Answer:

40

Step-by-step explanation:

180-100=80÷2=40

hope this helps please rate 5 stars and thanks it

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Answer:

both unknown angles: 40°

Explanation:

total interior angle of the triangle is 180°

solve:

x + x = 100 = 180

2x = 180° - 100°

2x  = 80°

x = 40°

Mode:

There is no mode, so it can't be that.

Median:

The middle value is 6

Mean:

The mean is (4+5+6+7+8)/5 = 30/5 = 6

Median and Mean are the same.

Answer:

25, 34, 43

Step-by-step explanation:

its +9 per number

Therefore, the expression that equals 3B - 3C in standard form is -21x² - 6x + 24.

In mathematics, an expression is a combination of numbers, variables, and operations that can be evaluated or simplified to obtain a single value or another expression. In algebra, expressions are often used to represent mathematical relationships or formulas, and can be manipulated using various algebraic techniques such as factoring, expanding, simplifying, and solving for unknown variables. Expressions are also used in calculus, probability theory, and many other branches of mathematics to describe mathematical models and relationships.

Here,

We can start by substituting the expressions for B and C into the expression for 3B - 3C and simplifying:

3B - 3C = 3(-3x - 7x²) - 3(-x² - 8 - x)

= -9x - 21x² + 3x² + 24 + 3x

= -21x² - 6x + 24

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The quadrilateral FGHI is a parallelogram

From the question, we have the following parameters that can be used in our computation:

F = (0, -6), G = (7, -4), H = (8, 4), I = (1, 2)

The lengths can be calculated as

Lengths = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the above as a guide, we have the following:

FG = √[(0 - 7)² + (-6 + 4)²] = √53

GH = √[(8 - 7)² + (4 + 4)²] = √65

HI = √[(8 - 1)² + (4 - 2)²] = √53

IF = √[(1 - 0)² + (2 + 6)²] = √65

For the slopes, we have

Slope = (y₂ - y₁)/(x₂ - x₁)

So, we have

FG = (-6 + 4)/(0 - 7) = 2/7

GH = (4 + 4)/(8 - 7) = 8

HI = (4 - 2)/(8 - 1) = 2/7

IF = (2 + 6)/(1 - 0) = 8

Based on the above computations, we have

Hence, the shape is a parallelogram

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The measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees

What are isosceles triangles?

Isosceles triangles are triangles that have two sides equal in measurement.

Main Body:

From the given diagram;

∠BAC = 18 degrees

∠BDC = 48 degrees

Required angle  : ∠ABD

From the diagram, ∠DAB = ∠BAC = 18 degrees

Also, ∠ADC + ∠ACD + ∠DAC = 180

Since triangles ACD is isosceles, hence ∠ADC = ∠ACD. The expression above becomes

∠ADC + ∠ADC + ∠DAC = 180

2∠ADC + ∠DAC = 180

2∠ADC  = 180 - 36

2∠ADC = 144

∠ADC = 144/2

∠ADC = 72 degrees

This means that ∠ADB = 72 - ∠BDC

∠ADB = 72 - 48

∠ADB = 24 degrees

Get the required angle ABD

From triangle ADB, ∠ABD + ∠ADB + ∠DAB = 180

∠ABD + 24 + 18 = 180

∠ABD + 42 = 180

∠ABD = 180 - 42

∠ABD = 138 degrees

Hence the measure of angle ABD if triangles ACD and BCD are isosceles is 138 degrees.

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