4 5/8+5/6−1 3/4
answer as a mixed number in simplest form by filling in the boxes.

Using conditional probability, it is found that there is a 0.3266 = 32.66% probability that the person first went on tour T2.

Conditional Probability

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

In this problem:

The percentages associated with a return are:

Hence:

\(P(A) = 0.75(0.5) + 0.667(0.3333) + 0.5(0.1667) = 0.6806611\)

The probability of both returning and first going on T2 is:

\(P(A \cap B) = 0.667(0.3333)\)

Hence, the conditional probability is:

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.667(0.3333)}{0.6806611} = 0.3266\)

0.3266 = 32.66% probability that the person first went on tour T2.

A similar problem is given at https://brainly.com/question/14398287

Answer:

  (b)  4.65×10⁹

Step-by-step explanation:

You want 4,650,000,000 written in scientific notation.

A number is written in scientific notation in the form shown in the second attachment. The coefficient has one digit to the left of the decimal point. The remaining significant digits of the number are to the right of the decimal point.

The exponent is the same as the exponent of the place value of the most significant digit of the number. Some of those exponents are shown in the first attachment.

The given number has its most significant digit (4) in the "billions" place. The corresponding exponent of 10 is 9. Putting 4 to the left of the decimal point, the number is written in scientific notation as ...

  4.65×10⁹

__

Additional comment

In the above, we have used the superscript font to indicate the exponent. In plain text, an exponent is indicated with a caret (^), as in 4.65·10^9.

If you use an "x" character for a multiplication symbol, you need to make sure it cannot be confused with a variable named "x".

In spreadsheets and some calculators, the base and exponent are written as "E". Here, the number would be 4.65E9. (This is a carryover from one of the earliest high-level computer programming languages.)

(You will notice that the number in the second attachment is similar to, but not the same as, the one given in this problem statement. We intend that attachment to show the format, not the answer to this question.)

Part A: The equation that can be used to determine the dimensions, in meters, of the field is 5500 = 2x² + 10x

Part B: width is 50 meters.

The formula for calculating the area of a rectangle is expressed with the equation;

A = lw

Such that the variables are expressed as;

We then have that;

l = 2x + 10

Substitute the values

5500 = (2x + 10)(x)

expand the bracket

5500 = 2x² + 10x

2x² + 10x - 5500

x² + 5x - 2750

x² + 55x - 50x - 2750

x(x + 55) - 50(x + 55)

x = 50 meters

Length = 2(50) + 10

Length = 100 + 10 = 110 meters

Learn about area at: https://brainly.com/question/2607596

#SPJ1

The range of the exponential function is B. y > 0.

The range of the exponential function f(x) = 11 × (1/3)ˣ can be determined by analyzing the behavior of the function as x approaches positive and negative infinity.

As x approaches positive infinity, (1/3) becomes smaller and smaller, tending towards zero.

f(x) approaches 11 × 0, which is equal to 0.

As a result, the function approaches 0 as x goes to infinity.

On the other hand, as x approaches negative infinity, (1/3)ˣ becomes larger and larger.

Since 1/3 is between 0 and 1, raising it to a negative power causes it to grow exponentially.

f(x) approaches infinity as x goes to negative infinity.

Combining these two behaviors, we can conclude that the range of the function f(x) = 11 × (1/3)ˣ is all positive real numbers, excluding zero.

In other words, the range is y > 0.

For similar questions on exponential function

https://brainly.com/question/2456547

#SPJ8

Step-by-step explanation:

The expression in factored form is 5(q-20)(q-80).

The numbers 20 and 80 represent the values of q that make the expression equal to zero.

Setting the expression equal to zero, we get:

5(q-20)(q-80) = 0

This means that either (q-20) = 0 or (q-80) = 0, since the product of two factors is zero if and only if at least one of the factors is zero.

Solving for q in each case, we get:

q-20 = 0 -> q = 20

q-80 = 0 -> q = 80

Therefore, the numbers 20 and 80 represent the values of q that make the profit equal to zero (i.e., the break-even points). If Games 'n' Mods builds and sells fewer than 20 or more than 80 computers, it will operate at a loss. If it builds and sells between 20 and 80 computers, it will make a profit.

The sample space is (R, G, P, Y).(OB)

What is sample space?

A sample space is a collection  of possible outcomes of a random experiment. The sample space is represented by the symbol, “S”.  A sample space may contain a  finite number of outcomes which depends on the experiment.

You spin a spinner with 4 sections: 1 red (R), 1 green (G), 1 purple (P), and 1

yellow (Y).

So here is 4 sections

Red(R), Green (G), Purple (P), Yellow(Y)

So there are 4 sections in sample space

The sample space for one spin of the spinner is  (R, G, P, Y).

Hence, the sample space is (R, G, P, Y).

To know more about sample space

 https://brainly.com/question/10558496  

#SPJ1

Answer:

No, 60 is the third interior angle's mesure, not the exterior ∠3.

Step-by-step explanation:

Say that ∠1=∠A=50 and ∠2=∠B=70. The remote interior angles are the angles that are not touvhing the exterior angle. So ∠3 would be the the exterior angle to ∠C. ∠C=60 as the sum of the interior angles is 180.

The exterior angle is the angle formed by extending one of the triangle's sides. A straight line has the angle 180,  so∠3=180-∠C=180-60=120.

Answer:

5 ( x + 7 )

Step-by-step explanation:

= 5x + 35

= 5 ( x + 7 )

Therefore, after factorizing you will get 5 ( x + 7 )

Answer:

hey , it can be factored:

this is the factored expression:

5(x+7)

The ways to elect the candidates from the total is 462

From the question, we have

The number of ways of selection could be drawn is calculated using the following combination formula

Total = ⁿCᵣ

Where

n = 11 and r = 6

Substitute the known values in the above equation

Total = ¹¹C₆

Apply the combination formula

ⁿCᵣ = n!/(n - r)!r!

So, we have

Total = 11!/5!6!

Evaluate

Total = 462

Hence, the number of ways is 462

Read more about combination at

brainly.com/question/11732255

#SPJ1

The exact value of cos (-pi/3) can be found using the unit circle or the angle addition formula.

Using the unit circle, we know that the x-coordinate of the point on the unit circle that corresponds to an angle of -pi/3 is cos(-pi/3) and y-coordinate is sin(-pi/3).

On the unit circle, the angle of -pi/3 is the same as the angle of 2pi/3 (since the unit circle has a period of 2pi), therefore the x-coordinate of the point on the unit circle that corresponds to an angle of -pi/3 is -1/2.

Alternatively, using the angle addition formula:

cos (-pi/3) = cos(pi - pi/3) = cos(pi) * cos (pi/3) - sin(pi) * sin(pi/3) = -1/2

So, the exact value of cos (-pi/3) is -1/2.

Answer:

x=22.5

Step-by-step explanation:

Make a ratio

The names of the triangle help with this.

AB is similar to FG, and AC is similar to FH (the missing side)

6/15 = 9/x

cross multiply

6x=135

divide both sides by 6

x=22.5

Answer:

X=22.5

Step-by-step explanation:

6/9=15/x

135=6x

22.5=X

The correct description for the circled point in the scatterplot would be an "outlier." Based on the provided information that a point is circled in the scatterplot, and the given options of "Outlier," "High leverage," "Non-influential point," or "None of these," the correct description for the circled point would be an "outlier."

An outlier is a data point that significantly deviates from the overall pattern of the data. It lies far away from the other data points and can have a notable impact on statistical analyses and modeling.

Outliers can arise due to various reasons, such as measurement errors, data entry mistakes, or genuine extreme values in the dataset. They can have a substantial effect on statistical measures like the mean and standard deviation, potentially skewing the results.

Based on the provided information that a point is circled in the scatterplot, and the given options of "Outlier," "High leverage," "Non-influential point," or "None of these," the correct description for the circled point would indeed be an "outlier." An outlier is a data point that significantly deviates from the overall pattern of the data. It is typically identified by being located far away from the other data points and can have a significant impact on statistical analyses and modeling. Therefore, "outlier" is the appropriate choice to describe the circled point in the scatterplot.

By circling the point in the scatterplot, it suggests that the data point in question is noticeably distinct from the majority of the other points, indicating that it is an outlier.

For such more questions on Scatterplot:

https://brainly.com/question/29366075

#SPJ11

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

Learn more about line chart click;

https://brainly.com/question/29359235

#SPJ1

Total number of rabbits produced in 9 years will be 45.

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is a rabbit can produce 5 new rabbits per year

Total number of rabbits produced in 9 years will be -

n = 5y = 5 x 9 = 45 new rabbits

Therefore, total number of rabbits produced in 9 years will be 45.

To solve more questions on equation modelling, visit the link below-

brainly.com/question/6593383

#SPJ1

Answer:

Step-by-step explanation:

22.57 cm inches are the net weight of the slope

Answer:

The appropriate hypotheses for performing a significance test is:

\(H_0: \mu = 51\)

\(H_1: \mu > 51\)

Step-by-step explanation:

Last year, the mean score on the state’s math test was 51. The administrators have trained the teachers in a new method of teaching math hoping to raise the scores on this standardized test this year.

At the null hypothesis, we test if the mean score this year is the same as last year, that is:

\(H_0: \mu = 51\)

At the alternate hypothesis, we test if the mean score improved this year from last, that is:

\(H_1: \mu > 51\)

The appropriate hypotheses for performing a significance test is:

\(H_0: \mu = 51\)

\(H_1: \mu > 51\)

The given equations represent the solutions of 0 = 0.25x² - 8x

An equation is a mathematical statement that shows the equality of two expressions, typically separated by an equal sign. Equations are used to solve problems and model real-world situations in many fields, including physics, engineering, and finance.

Redirecting to answer:

The equation 0 = 0.25x² - 8x can be rewritten as:

0.25x² - 8x = 0

Factoring out x gives:

x(0.25x - 8) = 0

So the solutions are x = 0 and 0.25x - 8 = 0, which gives x = 32.

Therefore, none of the given equations represent the solutions of 0 = 0.25x² - 8x

To know more about equation:

brainly.com/question/29657983

#SPJ1

For the given triangles:

(1) x = 5.4

(2)  x  =  √23

(3) θ = 25.84 degree

(4)   x = 9.5

(5) n = 41

(1) In the given triangle,

One angle = 16 degree

Perpendicular = x

Hypotenuse    = 20

Since we know that

Sinθ = opposite side of θ/hypotenuse

Therefore,

⇒ sin 16 = x/20

⇒   0.27 = x/20

⇒         x = 5.4

(2)  In the given triangle,

Hypotenuse = 12 km

Base = 11 km

perpendicular = x

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (12)²= (x)² + (11)²

⇒ 144 = (x)² + 121

⇒   x² =  23

Taking square root both sides we get,

Hence,

⇒   x  =  √23

(3) In the given,

Base = 20

Perpendicular = 42

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒ (Hypotenuse)² =  (42)² + (20)²

⇒ (Hypotenuse)² =  2164

Taking square root both sides,

⇒ (Hypotenuse)  = 46.51

⇒ cosθ = Adjacent/hypotenuse

             = 42/46.51

             = 0.90

Taking inverse of cosθ,

⇒ θ = 25.84 degree

(4) In the given triangle,

One angle = 30 degree

Base = x

Hypotenuse    = 11

Since we know that

cosθ = Adjacent/hypotenuse

Therefore,

⇒ cos 30  = x/11

⇒   √3/2 = x/11

⇒         x = 9.5

(4) In the given triangle,

Base = 40

Perpendicular = 9

Hypotenuse = n

We know that the Pythagoras theorem for a right angled triangle:

⇒  (Hypotenuse)²= (Perpendicular)² + (Base)²

⇒  n² = 9² + 40²

⇒  n² = 81 + 1600

⇒  n² = 1681

⇒  n = 41

Learn more about the triangle visit;

brainly.com/question/1058720

#SPJ1

The value of x based on the trigonometry will be 18.6°.

It should be noted that to address the equation sin 8 = 0.65 over 0 ≤ x ≤ 2m, we can incorporate an inverse trigonometric function to effectively solve for x. Through this, we can deduce that

sin 8 = opposite/hypotenuse

opposite/hypotenuse = 0.65

opposite = 0.65 * hypotenuse.

Subsequently, the Pythagorean theorem is employed to establish the length of the adjacent side:

adjacent^2 = 0.5775 * hypotenuse^2

Now, rearranging it yields

adjacent = sqrt(0.5775) * hypotenuse

Consequently, based on the previous calculations, we come up with

sin 8 = opposite/hypotenuse = 0.65

cos 8 = adjacent/hypotenuse = sqrt(0.4225)

tan 8 = opposite/adjacent = 0.65/sqrt(0.4225).

The concluding step involves finding the solution for x, which requires one to utilise the inverse tangent function:

As a result, x ≈ 18.6 degrees.

Learn more about trigonometry on

https://brainly.com/question/25618616

#SPJ1

Answer:

31x=217     x=7

Step-by-step explanation:

begin with what you know. You know that you will have 31 days to complete the goal and that the goal is 217 miles. This gives you your y (217) and your m (31). Then set up into y=mx+b form. This gives 31x=217. Then to solve divide 217 by 31. This gives the needed the needed answer of 7 miles per day  

Answer:

A)Josh

B)Mila

C) Amir

Answer:

B) 4,700

Step-by-step explanation:

6000 - 4000 = 2000

2000 in 15 year, find how much for each year

2000/ 15 = 133.3333333

133.3333333 estimated = 133

133 approximately for each year

1975 to 1980 is five years

133 x 5 = 665

4000 + 665 = 4665

4665 rounded the the nearest hundred

4700

Skipper's finance charge at the end of the billing period is given as follows:

$14.77.

The finance charge is obtained using simple interest, as there is a simple compounding per year for the debt, and the charge is the amount of interest accrued during the period of one month.

The amount of interest accrued after t years, using simple interest, is given as follows:

I(t) = Prt.

The parameters for the equation are given as follows:

Considering a period of one month = 1/12 of an year, the values of these parameters for this problem are given as follows:

P = 933, r = 0.19, t = 1/12.

Hence the finance charge for Skipper's purchase is calculated as follows:

I = 933 x 0.19 x 1/12 = $14.77.

(rounding to the nearest penny = nearest cent).

More can be learned about simple interest at https://brainly.com/question/20690803

#SPJ1

Solution:

Note that:

Solve for x to find the weight of each patty.

The weight of a patty is 4/15 of a pound.

Answer:

4/15

Step-by-step explanation:

Hope this helps! Sorry if I am wrong.

Answer:

  14

Step-by-step explanation:

The objective function C=x+3y is the same as one of the constraining boundaries, x+3y≥14. Hence the minimum value of C is constrained to be 14.

The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

for such more question on temperature

https://brainly.com/question/14820864

#SPJ8

Answer:

on the third column it should be tens and not ones.good job so far tho!

Answer:

Step-by-step explanation:

(x-d) + (x-d)² = (x-d)(1 + (x-d)) = (x-d)(1+x-d)