*You will use the following scenario forquestions 1-4*On the Wechsler Adult IntelligenceScale a mean IQ is 100 with a standarddeviation of 15. You may assume thatIQ scores follow a normal distribution.What percent of people have an IQscore between a 90 and 115?*Write your answer as a percent andround to 2 decimal places

Answer:

2

Step-by-step explanation:

Let

P = percentage of those that text and drive

S = percentage of those that do not text and drive

P + S = 1

S = 1 - P

S = 1 - 0.52

S = 0.48

The expected number would be:

1/0.48 = 2.08

Which is approximately 2.

Therefore the expected number of people the police officer would expect to pull over until she finds a driver not texting is 2.

The number of people should a police officer expect to pull over until she finds a driver NOT texting while driving is; 2 people

A geometric random value is one that gives a discrete time as to the the first success of an event.  

Now, we are told that it is estimated that 52% of drivers text while driving. Thus, the success is a driver that is not texting, and the probability (p) is 0.52.

This means that the expected value of a geometric random variable is expressed as 1/p.  

Therefore, In this question;

geometric random variable = 1/0.52

⇒ 1.923 ≈ 2

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Hey there mate :)

The answer is :-

\( - \frac{2 \sqrt{3} }{2} \)

Click on attached image.

Explanation is attached as image. Please check.

Answer:

2990 and 2980

Step-by-step explanation:

2984 rounds to 2980 so it would make sense to make it as an endpoint and 2990 the other end point since it's the next hundredth

To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.

To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.

Let's consider some factors that could affect the amount they would need to purchase:

Perimeter of the pool:

The length of the fence required would depend on the perimeter of the pool.

If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.

Fence height:

The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.

This would determine the length of fencing material they need to purchase.

Fence type and style:

Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.

The choice of fence material and style will impact the amount they would have to buy.

Gates and openings:

If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.

The number and size of gates would affect the total amount of fencing material needed.

With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.

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Answer:

Step-by-step explanation:

1 find out what kind of  its is

if its equivelent you might use 60 as thee angles then find out

Answer:

Perimeter of the figure = 198.54 feet

Step-by-step explanation:

Given figure comprises a rectangle and two semicircles.

Perimeters of two semicircle = 2πr

Here 'r' = Radius of the circle

Perimeter of two semicircles at the sides of the rectangle = \(2\pi (\frac{25}{2})\)

= 25π feet

= 78.54 feet

Length of side AB = Length of side CD = 60 feet

Perimeter of the given figure = 2(60) + 78.54

                                                = 198.54 feet

Given:

Region bounded x=0 to x=1.

Area is the integral from.

Answer:  130 meters

Step-by-step explanation:

We have to let the "surface of the ocean" be at 0 height.

So,

anything above surface has POSITIVE height

and anything below surface has NEGATIVE height

The albatross is 100 m above, so we can say its height is:

+100 meters

The shark is 30 m below, so we can say its height is:

-30 meters

The difference in height is thus:

100 - (-30) = 100 + 30 = 130 meters

Answer:

84

34

27

Step-by-step explanation:

Answer:

y = 4x + 5

Step-by-step explanation:

-4x + y = 5

-4x + 4x + y = 5 + 4x

y = 5 + 4x

Hope this helps! :)

Step 1

Find the resultant of the vectors

The correct answer is C. Airport S has 100 on-time flights, and Airport T has 200 on-time flights. Since 100 is one-half of 200, Airport S has one-half the number of on-time flights that Airport T has.

Given that,

The number of flights that were either on time or delayed at three separate airports on a given day is depicted in the segmented bar chart below.

Which of the following statements is the bar chart evidence for?

The options are : In comparison to the other two airports, A Airport T has the highest proportion of on-time flights.

In comparison to the other two airports, B Airport R has the lowest percentage of on-time flights.

C The proportion of on-time flights at Airport S is less than half that at Airport T.

D The proportion of on-time flights at Airport R is lower than that at Airport S.

E There are exactly as many flights at Airport T as there are at Airports R and S put together.

As the number of flights that were either on time or delayed at three different airports on one day can be exactly represented by

The correct answer is less than half as many flights arrive on time at Airport S than at Airport T.

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The Complete Question is :

Which of the following statements is the bar chart evidence for the number of flights that were either on time or delayed at three different airports on one day.?

Answer:

2√73 or 17.09 inches

Step-by-step explanation:

The small red square at the corner of the triangle symbolizes that the triangle is a right triangle. Therefore, to find the hypotenuse of the triangle, we can use the Pythagorean Theorem: a² + b² = c²

a = 6

b = 16

c = ?

Plug these values into the equation.

(6)² + (16)² = c²

Evaluate the exponents.

36 + 256 = c²

292 = c²

Take the square root of both sides to find c.

√292 = √c²

17.09 ≈ c

This is your answer.

You can also simplify the radical without using decimals.

4 • 73 = 292

Therefore,

√4 • √73 = √292

Which also means,

2•√73 = √292

So your answer is: 2√73

Hope this helps!

Answer:

We use the pythagorean theorem a²+b²=c² and in this question

a = 6

and

b = 16

so

36 + 256 = c²

so

c² = 292 so now we take the square root of it to get \(\sqrt{292}\)

Hope this helps!

The values of the trigonometric ratios are: a) - 7/5, b) -75 c ) -1/5  d ) -25/12

Trigonometric ratios are measurements of the lengths of two sides of a triangle. There are three basic trigonometric ratios: sine, cosine, and tangent.  Sine ratios are the ratios of the length of the side opposite the angle they represent over the hypotenuse

the give parameters are:

tanα = -4/3 where π/2 <α<π and sinβ = √3/2, 0<β<π/2

a)  sin(α+β)

Using the trig ratios tan = opp/adj

but from pyth. rule, 4² + 3² = h²

16+9 = h²

h = √25 = 5

Now from trig Sin(α+β)

4/5 + 3/5

=- 7/5

b) cos(α+β)

cos = ad/hypo

4/5 + 3/5

= -7/5

c) Sin(α-β)

4/5 - 3/5

-1/5

d) tan(α-β)

= -4/3 - 3/4

= (-16 - 9)/ 12

-25/12

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The value of length BC is 18.9

Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

Therefore,

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

Therefore, the length of BC is 18.9

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In the triangle, the value of the side BC is 18.9cm to 1 decimal place

The side BC can be found using the cosine formula, Remember that Cosine Rule states that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The cosine formula states that

c² = a² + b² - 2abcosC

To find the length BC we use cosine rule.

c² = 13² + 7² - 2(13)(7)cos140

c² = 218 - 182cos140

c² = 218-(-139.42)

c² = 218+139.2

c² = 357.2

c = √357.2

c = 18.9

In conclusion, the value of  the length of BC is 18.9cm

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Answer:

\(\frac{1}{9}\)

Step-by-step explanation:

\(\frac{1}{9} =0.111111111111111111\)

Answer: just multiple the numerator and denominator by the same number

Step-by-step explanation:

Trapezoid WXYZ is located at W(0,5) X(3,8) Y(7,8) and Z(10,5). After a translation 8 units left, the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3).

What is trapezoid?

In mathematics, a quadrilateral with at least one set of parallel edges is referred to as a trapezoid in American and Canadian English, or a trapezium in British and other types of English. In Euclidean mathematics, a trapezoid is a convex parallelogram by definition. The bases of the trapezoid are the horizontal edges.

Given,

W(0,5) X(3,8) Y(7,8) and Z(10,5)

If A(x,y), after being translated left c units, then A(x,y) is written as A(x,y-c)

Then the new coordinates of the vertices are written as-

W(0,5) after being translated left 8 units written as w(0,-3)

X(3,8) after being translated left 8 units written as X(3,0)

Y(7,8) after being translated left 8 units written as Y(7,0)

Z(10,5) after being translated left 8 units written as Z(10,-3)

Hence the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3)

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If they are complementary angles

5x - 8 + 2x - 0 = 90

5x + 2x = 90 + 8

7x = 98

x = 98/7

x = 14

a) angle 1 = 5(14) - 8

= 70 - 8

= 62°

b) angle 2 = 2(14)

= 28°

Then angle 1 + angle 2 = 90°

62 + 28 = 90

90°

2) Supplementary angles

angle 1 = 6x - 19 angle 2 = 15x - 11

6x - 19 + 15x -11 = 180

6x + 15x = 180 + 19 + 11

21x = 210

x = 210/21

x = 10

angle 1 = 6(10) - 19 angle 2 = 15(10) -11

= 60 - 19 = 150 - 11

= 41° = 139°

41 + 139 = 180

180 = 180

Answer:

D)

Step-by-step explanation:

D) 12 15 17 19 20 22 24

         15     19

Minimum: 12

Q1: 15

Median: 19

Q3: 21 ≈ 22

maximum: 24

Answer:

Individual error rate = 0.01

Therefore, Option b) 0.01 is the correct answer

Step-by-step explanation:

Given the data in the question;

family wise error rate ∝ = 0.05

there are ten levels of one factor but

important comparisons m = 5

the individual error rate need to be for each of those 5 comparisons = ?

we know that;

individual error rate = family wise error rate ∝ / important comparisons m

so we substitute

individual error rate = 0.05 / 5

individual error rate = 0.01

Therefore, Option b) 0.01 is the correct answer

Answer:

4400

Step-by-step explanation:

The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.

C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%

Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.

By graphing or visualizing the parabolic shape, we can observe where the graph intersects the x-axis, which represents the solutions to the equation. In this case, the solutions are x = -3 and x = 1.

To solve the quadratic equation x^2 + 2x - 3 = 0 by graphing, we can plot the graph of the equation and find the x-values where the graph intersects the x-axis.

First, let's rearrange the equation to the standard form: x^2 + 2x - 3 = 0.

We can create a graph by plotting points for different values of x and then connecting them. However, I can describe the process and the key points on the graph.

1. Find the x-intercepts: These are the points where the graph intersects the x-axis. To find them, set y (the equation) equal to zero and solve for x:

  0 = x^2 + 2x - 3.

  This quadratic equation can be factored as (x + 3)(x - 1) = 0.

  Therefore, x = -3 or x = 1.

2. Plot the points: Plot the points (-3, 0) and (1, 0) on the graph. These are the x-intercepts.

3. Draw the graph: The graph of the equation x^2 + 2x - 3 = 0 is a parabola that opens upward. It will pass through the x-intercepts (-3, 0) and (1, 0).

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Answer:

Step-by-step explanation:

Let x be the number of miles you and your friend travel.We know that the cost of the bus ride is 60 cents per mile, so the total cost of the trip is 60 * x.This can be written as an equation as follows:Cost = 60 * xOr, more simply:Cost = 60xThis equation represents the relationship between the number of miles you and your friend travel and the cost of the trip. As the number of miles increases, the cost of the trip also increases at a rate of 60 cents per mile.

Answer:

Step-by-step explanation:

slope intercept: y = mx + b

where m is the slope and b is the y-intercept

Equation: y = -3x + 4

Since y-intercept is given, then we have the first point of the line as (0,4)

Let's find the value of x when y is 0

y = -3x + 4

0 = -3x + 4

3x = 4

x = 4/3

(4/3,0) ---second point

Since there are two points/coordinates already then we can now plot/graph.

Answer:

The equation of the line is \(y + 3 = m(x + 4)\), in which m is found as such \(am = -1\), considering a the slope of the given line.

Step-by-step explanation:

Equation of a line:

The equation of a line, in point-slope form, is given by:

\(y - y_0 = m(x - x_0)\)

In which m is the slope and the point is \((x_0,y_0)\)

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Passes through the point (-4,-3)

This means that \(x_0 = -4, y_0 = -3\)

So

\(y - y_0 = m(x - x_0)\)

\(y - (-3) = m(x - (-4))\)

\(y + 3 = m(x + 4)\)

The equation of the line is \(y + 3 = m(x + 4)\), in which m is found as such \(am = -1\), considering a the slope of the given line.

The distance between points R and S is  \(\sqrt{ (185)\). The correct answer is D. She made no errors.

Heather's work to find the distance between two points, R(-3,-4) and S(5,7), is shown:

RS = √(-4) (-3))² + (7 − 5)²

= √(-1)² + (2)²= √1 + 4

= √5

The error is with the order of subtraction in the formula for the distance between two points.

Heather did not make any errors in calculating the distance between two points. Therefore, the correct answer to the question above is (OD) She made no errors.

The formula for the distance between two points, A (x1, y1) and B (x2, y2), in the coordinate plane is given as;

dAB = \(\sqrt{  ((x^2 - x1)^2 + (y2 - y1)^2)\)

Comparing the given question with the formula above, we have;

A = R (-3, -4) and B = S (5, 7)The distance, AB = RS.

Therefore, we have;

RS = \(\sqrt{ ((5 - (-3))^2 + (7 - (-4))^2)\)

On solving the above equation;RS = \(\sqrt{ ((5 + 3)^2 + (7 + 4)^2)\)RS

= \(\sqrt{ (8^2 + 11^2)RS\)

= \(\sqrt{ (64 + 121)RS\)

= \(\sqrt{ (185)\)

Therefore, the distance between points R and S is  \(\sqrt{ (185)\).

From the calculation, it is clear that Heather did not make any errors while calculating the distance between two points. The answer obtained by Heather is correct.

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Answer:

Hello! Answer below.

Step-by-step explanation:

The answer to your question is:

18 9/10 or 18.9

Steps below...

You have to do this first.

1. Convert the mixed number to fraction.

2. \(7/2\)

Multiplied by

\(27/5\)

This will equal, 189/10

If you divide this the answer will be 18 9/10

So the answer is 18 9/10 or 18.9

Hope this helps!

By, BrainlyMagic

Given statement solution is :- Interpreting the steady matrix:

The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.

The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.

The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.

To analyze the steady matrix for this situation, let's consider the two groups of customers: those who turn in tickets and those who do not turn in tickets.

Let's denote the proportion of customers who turn in tickets as X and the proportion of customers who do not turn in tickets as Y.

According to the given information:

40% of the customers who turn in tickets do not turn in tickets the following week. This means that 60% of the customers who turn in tickets will turn in tickets again the following week.

30% of the customers who do not turn in tickets will turn in tickets the following week. This means that 70% of the customers who do not turn in tickets will continue not turning in tickets the following week.

Based on these percentages, we can construct the steady matrix:

java

Copy code

     |  Customers turning in tickets (X) | Customers not turning in tickets (Y) |

----------|----------------------------------|--------------------------------------|

Next week 0.6 0.3

This week 0.4 0.7

Interpreting the steady matrix:

The value 0.6 in the top left cell represents the proportion of customers who turn in tickets this week and will turn in tickets again next week.

The value 0.3 in the top right cell represents the proportion of customers who turn in tickets this week but will not turn in tickets next week.

The value 0.4 in the bottom left cell represents the proportion of customers who do not turn in tickets this week but will turn in tickets next week.

The value 0.7 in the bottom right cell represents the proportion of customers who do not turn in tickets this week and will continue not turning in tickets next week.

These values describe the transition probabilities between the two customer groups. For example, if there are 100 customers in total, 60 of them will turn in tickets next week, and 40 of them will not. Similarly, 30 customers who turn in tickets this week will not do so next week, while 70 customers who do not turn in tickets this week will continue to not turn them in next week.

The steady matrix provides a snapshot of the probabilities of transitioning between the two states (turning in tickets or not turning in tickets) in the long run, assuming these probabilities remain constant over time.

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