84 points + brainliest if well explained and correct:
During a thunderstorm at a sports event, a detector goes off to let participants know there is lightning in the area so people can seek shelter. The accuracy of the lightning detector is summarized in the table.


Lightning detector activates Lightning detector does not activate Row Totals
Lightning in area 88% 2% 90%
No lightning in area 7% 3% 10%
Column Totals 95% 5% 100%


What is the ratio of false positives to false negatives in this scenario? Round your answer to one decimal place.
0.1
1.5
2.3
3.5

Answers

Answer 1

The ratio of false positives to false negatives is (d) 3.5

How to determine the ratio?

The table of values is given as

                          Activates.   Does not activate Row Totals

Lightning in area     88%           2%                           90%

No lightning in area 7%             3%                           10%

Column Totals           95%          5%                          100%

The false negative is when there is lighting and it does not activate

So, we have

False negative = 2%

The false positive is when  there is no lighting and it activates

So, we have

False positive = 7%

When represented as ratio, we have

Ratio = 7% : 2%

So, we have

Ratio = 7 : 2

This gives

Ratio = 7/2

Evaluate

Ratio = 3.5

Hence, the ratio is (d) 3.5

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Related Questions

Use the scenario below to ansuer questions 9-11. Raymond purchased a new tractor for his wheat farm. He estimates that the tractor will depreciate in value by about 8.5% per year as shown in the table below. AGE OF TRACTOR IN YEARS X o 1 VALUE OF TRACTOR (U.S. DOLLARS) f(x) 165,000 151,000 138,140 126,400 115,660 105,830 9. 2 What will be the estimated value of the tractor when it is 6 years old? 6 3 4 5 200000 У 180000 10. The graph shows the function f(x) = 165000(0.915) where f(x) is the value of Raymond's tractor after x years. What does poini (10, 67873) represent in the situation? 160000 165,000(0.915) 140000 120000 100000 Value of Teactor (collars) 800001 (10.87873) 60000 11. Using the function equation and a graphing utility, in how many years will the tractor be worth less than $50,000? 40000 20000 0 0 -2 2 16. 12 14 after 13 years 8 10 Time (years) -20000

Answers

Given:

[tex]f(x)=165000(0.915)^x[/tex]

Find-: what does point (10,67873) represent.

Sol:

[tex]f(x)=165000(0.915)^x[/tex]

Where,

[tex]\begin{gathered} f(x)=\text{ The value of random tractor } \\ \\ x=\text{ year} \end{gathered}[/tex]

At point.

[tex](10,67873)[/tex]

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

[tex]\begin{gathered} f(x)=165000(0.915)^x \\ \\ f(10)=165000(0.915)^{10} \\ \\ f(10)=67873 \end{gathered}[/tex]

help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer: Width = 3.4 meters, Length = 6.4 meters

Step-by-step explanation:

If the width is [tex]w[/tex], then the length is [tex]w+3[/tex].

[tex]w(w+3)=22\\\\w^2 +3w=22\\\\w^2 +3w-22=0\\ \\ w=\frac{-3 \pm \sqrt{3^2 -4(1)(-22)}}{2(1)}\\\\w \approx 3.4 \text{ } (w > 0)\\\\\implies w+3 \approx 6.4[/tex]

What conjecture can you make about the sum of the frst 25 positive even numbers?Make a conjecture. Choose the correct answer below.O A. The sum is equal to the number of terms squared.OB. The sum is the product of the number of terms and the number of terms plus one.O C. The sum is the product of the number of terms and twoOD. The sum is the product of the number of terms and the number of terms minus one.

Answers

Given:

2+4+6+8+10+.....+50

[tex]2+4+6+10+\cdots+50=2(1+2+3+\cdots+25)[/tex]

Let the sum of the first n natural numbers be

[tex]S_n=\frac{n(n+1)}{2}[/tex]

Therefore the sum of first 25 positive even numbers is

[tex]2S_n=\frac{2n(n+1)}{2}[/tex][tex]2S_n=n(n+1)[/tex]

Therefore,The sum is the product of the number of terms and the number of terms plus one.

Option B is the correct answer.

help meeeeeeeeeeeeeee pleaseeeeeee

Answers

Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

Determine the y-intercept of the equation -x + 2y = 10a. 1b.-10C. 5d. 2

Answers

Determine the y-intercept of the equation -x + 2y = 10

a. 1

b.-10

C. 5

d. 2

__________________________________________

y-intercept is (0, b)

y = mx +b

-x + 2y = 10

2y = x +10

y = 1/2 x + 5

______________

if x= 0

y= 1/2 *0 +5

y= 5

____________________

The y-intercept is (0, 5 )

The answer is c

Maria spends $22 dollars on lottery tickets every week. shen also spends $133 per month on food. On an (annual) basis ,the money spent on lottery tickets is what percent of the money spent to buy food?

Answers

Maria spends $22 on lottery tickets every week and $133 every month on food yearly

This means that in a year

there are 52 weeks and she spends 22 x 52 = $1,144 on Lottery tickets

and there are 12 months in a year, so she spends 133 x 12 = $1,596 on food

The money spent to buy lottery tickets in relation to the money spent on food yearly in percentage is

[tex]\begin{gathered} \frac{1144}{1596}\times100 \\ =71.68\text{ percent approximately} \end{gathered}[/tex]

Find the value of X express each answer as a decimal rounded to the nearest 10th

Answers

Answer:

x = 11.1

Explanations:

Note that the Pythagora's theorem is applied in solving this exercise

The Pythagora's theorem states that "the square of the hypotenuse equals the sum of the squares of the other two sides"

Hypotenuse is the longest side of the right-angled triangle:

Hypotenuse = 22

[tex]\begin{gathered} 22^2=19^2+x^2 \\ 484\text{ = }361+x^2 \\ x^2\text{ = 484 - 361} \\ x^2\text{ = }123 \\ x\text{ = }\sqrt[]{123} \\ x\text{ = }11.1 \end{gathered}[/tex]

Two ships leaving the same marina at the same timeare 3.2 miles apart after sailing 2.5 hours. If theycontinue at the same rate and direction, how farapart will they be 2 hours later?2.56 miles3.52 miles5.76 miles6.08 miles

Answers

To answer this question, we need to take into account that the two ships continue sailing at the same rate and direction, and we can solve this using the unit rate concept, as follows:

[tex]\frac{3.2}{2.5}\frac{miles}{h}=1.28\frac{miles}{h}[/tex]

If they continue sailing at this same rate, then, after two hours they will be:

[tex]1.28\frac{miles}{h}\cdot2h=2.56miles[/tex]

They will have 2.56 miles more distance between them.

Then, they will be separated by a distance of:

[tex]3.2\text{miles}+2.56\text{miles}=5.76\text{miles}[/tex]

In summary, we have that the answer is 5.76 miles.

Jordyn and Anya left a 30% tip after having lunch at a restaurant. The amount of the tip was $14.10. Jordyn's lunch cost $22. Write and solve an equation you can use to find x, the cost of Anya's lunch.

Answers

The cost of Anya's lunch would be = $25

What is lunch?

Lunch is the type of meal that is taken after the noon day or in the afternoon.

The percentage of tip left by Jordyn and Anya = 30%

The amount of the tip = $14.10

If 30% = 14.10

100% = $x

$x = 100 × 14.10/30

$x = 1,410/30

$x = 1,410/30

$x = $47

This is the total amount for the cost of lunch.

To find Anya's cost for lunch would be;

Total cost - Jordyn lunch cost = Anya lunch cost

Anya lunch cost = 47 - 22

= $25

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Match the pair of points with the slope of the line that joins them. (4,7) and (6,2)

Answers

We need to find the equation of the line that joins the points ( 4 , 7 ) and ( 6 , 2 )

The general equation of the line is ;

[tex]y=m\cdot x+b[/tex]

where m is the slope and b is y - intercept

the slope = Rise/Run

Rise = 7 - 2 = 5

Run = 4 - 6 = -2

so, the slope :

[tex]m=\frac{5}{-2}=-2.5[/tex]

So, the equation of the line :

[tex]y=-\text{2}.5x+b[/tex]

Using any point from the given points to find the value of b

So, using ( 4 , 7 )

when x = 4 , y = 7

[tex]\begin{gathered} 7=-2.5\cdot4+b \\ 7=-10+b \\ b=7+10 \\ b=17 \end{gathered}[/tex]

So, the equation of the line is:

[tex]y=-2.5x+17[/tex]

How many natural numbers less than 200 are divisible by 4 but not divisible by 3.

Answers

The answer to the given question is 32. There are 32 natural numbers less than 200 which are divisible by 4 but not divisible by 3.

What are natural numbers?

Natural numbers are those numbers used for counting and ordering. Numbers that used for counting are called cardinal numbers, and numbers that used for ordering are called ordinal numbers. Natural numbers are positive numbers which start from one up to infinity.

Now, to answer the question, firstly we need to find out all the natural numbers which are less than 200 and divisible by 4. We need to find out all those numbers that can be divided by 4, start from 4 up to 200. Those numbers are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 54, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 94, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 154, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 194, 196, 200

So, there are 50 natural numbers that are less than 200 and divisible by 4.

Now, we need to find out the numbers that are divisible by 3 among these numbers. We need to find out all those numbers that are divisible by 3, start from 4 up to 200. Because 4 is the first number among the numbers that we found out earlier which are divisible by 4. And the numbers are:

12, 24, 36, 48, 54, 60, 72, 84, 96, 108, 120, 124, 132, 144, 156, 168, 180, 192

There are 18 natural numbers in total.

Hence, natural numbers less than 200 which are divisible by 4 but not divisible by 3 is 50 – 18 = 32.

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Which sum or difference is modeled by the algebra tiles?-1OA (x2 - 2x + 3) - (-x2 - 4x - 2) = 2x - 1OB. (x2 - 2x - 3) + (x2 - 4x + 2) = 2x - 1OC. 02 - 2x - 3) - (x2 + 4x + 2) = 2x - 1OD. (x2 - 2x-3) + (-x2 + 4x + 2) = 2x - 1© 2021 Edmentum. All rights reserved.

Answers

Okay, here we have this:

We will take as the first term the upper squares and as the second term the lower ones, and we obtain that:

[tex]\begin{gathered} (x^2-x-x-1-1-1)+(-x^2+x+x+x+x+1+1) \\ =(x^2-2x-3)+(-x^2+4x+2) \\ =2x-1 \end{gathered}[/tex]

Here we obtain that the correct answer is the option D.

Find the value of x and the value of y.

Answers

Answer: y=18, x=30

Step-by-step explanation:

what is the constant term of p(x)=(x+3)(x+2)(x+1)?

(PAHELP PLEASE)​

Answers

Answer:

constant term = 6

Step-by-step explanation:

if you multiply the constant terms within each factor together you get the constant term of the expansion of p(x) , that is

constant term = 3 × 2 × 1 = 6

In Triangle FGH, GJ is an angle bisect or of G and perpendicular to FH. What is the length of FH in units?

Answers

Using the perpendicular bisector theorem, we have the following:

[tex]GF=GH[/tex]

then we can write the following equation:

[tex]3x-8=16[/tex]

solving for x, we have:

[tex]\begin{gathered} 3x-8=16 \\ \Rightarrow3x=16+8=24 \\ \Rightarrow x=\frac{24}{3}=8 \\ \\ x=8 \end{gathered}[/tex]

we get x = 8. Then, the length of FH is:

[tex]\begin{gathered} FH=FJ+JH=8+8=16 \\ \Rightarrow FH=16 \end{gathered}[/tex]

therefore, FH = 16

Need some help with this question I’ve been stuck on it for a bit

Answers

Answer: L BOZO

Step-by-step explanation:

L+RATIO=BOZO

Autumn has 55 cups of yogurt to make smoothies. Each smoothie uses 1/3
cup of yogurt. How many smoothies can Autumn make with the yogurt?

Answers

The total number of smoothies that Autumn can make with the yoghurt is 165.

We know that the total number of cups of yoghurt that Autumn needs to make smoothies is 55. Each smoothie uses 1/3 cup of yogurt. We need to calculate the total number of smoothies that Autumn can make with the yogurt.

Let the total number of smoothies be represented by the variable "N''. We will use the unitary method. The total number of smoothies that can be made is the ratio of the total number of cups of yoghurt to the fraction of a cup used to make one smoothie.

N = 55/(1/3)

N = 55*3

N = 165

Hence, Autumn can make 165 smoothies from 55 cups of yogurt.

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Select the transformations of g(x) = |1-2x+6| in relation to the parent function. HURRY PLEASE!!!

Answers

Answer:

Translated right [tex]\frac{7}{2}[/tex] units and vertical stretch

OR

translated right 3.5 units and vertical stretch

bcz

[tex]\frac{7}{2} =3.5[/tex]

Step-by-step explanation:

The absolute function is given as:

[tex]g(x) = |1-2x+6|[/tex]

If we simplify the equation, then we have

[tex]g(x) = |1-2x+6|\\g(x)=|-2x+6+1|\\g(x)=|-2x+7|\\g(x)=2|x-\frac{7}{2} |[/tex]

Now we can say that the transformation of g(x) to the parent function will be translated right [tex]\frac{7}{2}[/tex] units and vertical stretch (bcz you have a number (2) multiplying the function).

If the sign of the number that adds to the independent variable is negative, the transformation will be translated to the right, and if it is positive, it will be translated to the left.

Find sin ^-1 (-1/2). Write both angles for full credit

Answers

sin^-1 (-1/2) is 30 degrees measured from the x-axis in the clockwise direction, that is, in the fourth quadrant.

What is trigonometry ?Trigonometry is one of the important branches in the history of mathematics that studies the relationship between the sides and angles of right triangles. This concept comes from the Greek mathematician Hipparchus. In this article, we will discuss trigonometric functions, ratios, trigonometric tables,  Trigonometry is one of the most important branches of mathematics and has wide applications in many fields. The Department of Trigonometry is basically concerned with studying the relationship between the sides and angles of a right triangle. Therefore, trigonometric formulas, functions, or trigonometric identities can help you find  missing or unknown angles or sides in right triangles. In trigonometry,  angles can be  measured in degrees or radians. The most commonly used trigonometric angles for calculations are 0°, 30°, 45°, 60°, and 90°. Trigonometry is further divided into two sub-branches.This article describes six important trigonometric functions, ratios, trigonometric tables, formulas, and identities  to help you find the missing angles and sides of  right triangles.In light of the question -

The below figure serves as a reference for quickly determining the sines (y-value) and cosines (x-value) of angles that are commonly used in trigonometry. As can be seen from the figure, sine has a value of 0 at 0° and a value of 1 at 90°. Cosine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° (), 45° (), 60° () and their respective multiples. The cosine and sine values of these angles are worth memorizing in the context of trigonometry, since they are very commonly used.

One method that may help with memorizing these values is to express all the values of sin(θ) as fractions involving a square root. Starting from 0° and progressing through 90°, sin(0°) = 0 = . The subsequent values, sin(30°), sin(45°), sin(60°), and sin(90°) follow a pattern such that, using the value of sin(0°) as a reference, to find the values of sine for the subsequent angles, we simply increase the number under the radical sign in the numerator by 1, as shown below.

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I need help with problem number 3 It’s about evaluating the composition of functions in different representations correctly

Answers

Given g(x) = 3x - 5 and h(x) = 2x - 4.

We need to find (g o h)(x).

The composition of function is as follows:

[tex]\begin{gathered} (g\circ h)(x)=g(h(x)) \\ =g(2x-4) \\ =3(2x-4)-5 \\ =6x-12-5 \\ =6x-17 \end{gathered}[/tex]

Thus, the answer is 6x - 17.

A bucket of green paint 6 teaspoons of blue in it and 8 teaspoons of yellow paint to make a shade of green paint using 18 teaspoons of blue paint how many teaspoons of yellow

Answers

Answer:

24 teaspoons of yellow

Step-by-step explanation:

The ratio of blue to yellow is 6 to 8.

[tex] \frac{6}{8} = \frac{18}{y} [/tex]

We see that y = 24 since 18 = 3 × 6 and

24 = 3 × 8.

Ng one-step equations with rational numbers lc) determine the value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths. 3.4 8.0 11.4 13.11

Answers

The value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths is 13.11.

What are one-step equations?

In algebra, we often deal with equations with unknown values ​​represented by variables. To solve such an equation, we need to find the values ​​of the variables.

A one-step equation is an algebraic equation that can be solved in just one step. Solve it and you've found the values ​​of the variables that make the equation true. To solve a one-step equation, perform the inverse (reverse) of the operation performed on the variable to get the variable itself.

For the given case, the  equation can be written as follows:

[tex]\frac{x}{5\frac{7}{10} }[/tex] = [tex]2\frac{3}{10}[/tex]

x = [tex]5\frac{7}{10}[/tex] × [tex]2\frac{3}{10}[/tex]

x = 5.7 × 2.3

x = 13.11

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A liniar equation has no solutions when the equation makes a false statement

Answers

Answer:

True

Step-by-step explanation:

Write the point-slope form of an equation for the line graphed.
a. y + 1 = -3(x)
b. y - 1 = 3(x)
c. y - 1 = 4(x)
d. y + 1 = 4(x)​

Answers

The point slope of an equation for the line graphed is y - 1 = 4 ( x + 1).

To find the point slope of an equation for the line graphed:

First you have to find the slope which is 4. To get that you get 2 points and do rise/run. I chose the 2 points (-2,-3) and (-1,1).

Since the formula for point-slope form is:

Here [tex](y-y_{1}) = m(x-x_{1})[/tex], the equation should pass through the point (-1,1)

Therefore, the point-slope form is:

y - 1 = 4 ( x + 1)

Hence the answer is, The point slope of an equation for the line graphed is y - 1 = 4 ( x + 1).

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A box contains four tiles numbered 1,4,5 and 8 as shown . Kelly randomly chooses one tile , places it back in the box, then choose a second tile. what is the probability that the sum of two chosen tiles is greater than 7? A. 1/4 B. 5/16 C. 2/3 D. 11/16

Answers

Since Kelly chooses one tile, places it back in the box, and then choose another tile, we have that the total outcomes are 4x4 = 16.

Now, we can write easily all the outcomes :

[tex]\begin{gathered} \Omega=\mleft\lbrace(1,1\mright),(4,1),(5,1),(8,1), \\ (1,4),(4,4),(5,4),(8,4), \\ (1,5),(4,5),(5,5),(8,5), \\ (1,8),(4,8),(5,8),(8,8)\} \end{gathered}[/tex]

notice that on the first row, only the event (8,1) gives us that the sum is greater than 7.

On the second row,we have the same for events (4,4),(5,4) and (8,4)

On the third row only (1,5) gives us a sum lesser than 7, then here we have 3 more events that fit our criteria.

On the last row, all events gives us a sum greater than 7,then we have another 4 events.

Then, the probability that the sum of two chosen tiles is greater than 7 is:

[tex]\frac{1}{16}+\frac{3}{16}+\frac{3}{16}+\frac{4}{16}=\frac{11}{16}[/tex]

based on this relationship which could be the correlation coefficient?

Answers

Based on the relationship in the given table the correlation coefficient is -0.9985 .

Let us define a few variables first.

X: X Values

Y: Y Values

Mx: Mean of X Values

My: Mean of Y Values

Deviation scores = X - Mx , Y - My

Deviation Squared = variance = (X - Mx)² , (Y - My)²

Product of Deviation Scores = (X - Mx)(Y - My):

Now we will use the defined variables to calculate the correlation coefficient

X Values

∑ = 118.5

Mean = 11.85

∑(X - Mx)² = Sx = 1283.705

Y Values

∑ = 206

Mean = 20.6

∑(Y - My)² = Sy = 16804.4

X and Y Combined

N = 10

∑(X - Mx)(Y - My) = -4637.7

R Calculation

r = ∑((X - My)(Y - Mx)) / √((Sx)(Sy))

r = -4637.7 / √((1283.705)(16804.4)) = -0.9985

The correlation coefficient is the only statistical measure of the given strength of a linear relationship that is amongst the two variables. Its values normally  range from -1 to 1.

Based on a correlation coefficient of 1, which indicates a completely negative or inverse relationship, values in one series increase as those in the other decline, and vice versa.

Hence the correlation coefficient is -0.9985

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A ski resort rents snowshoes in the winter. the resort charges $1 per day and a flat fee of $3 to cover cleaning. write an equation that shows how the cost y, depends on the length of the rental in the day, x.

Answers

Answer:

3+ 1x = y

Step-by-step explanation:

a flat rebate means no matter how many days it will only be $3 so you add the 3 and you don’t know how many day you’ll rent the shoes so you put a variable next to the 1 and the 1 times however many days plus 3 will be your cost

I bought
5) Calculate the area and perimeter of the compound shape:
Area =
Perimeter =

Answers

Answer:

A = 48 cm^2

P = 38

Step-by-step explanation:

Area:
We can calculate the area of the more left shape first. We know that one side is 9 cm, but the second side is trickier. For the second side, we need to take the total measurement of the bottom area and subtract it from 6, because that is the part of the 10 cm we don't need. This gives us the first box is 9 cm x 4 cm = 36 cm^2. Then for the second box, we take the 6 cm and 2 cm giving us 6 cm x 2 cm = 12 cm^2. 36 cm^2 + 12 cm^2 = 48 cm^2.

Perimeter:
We will take all of the easy measurements first. We take 9 + 10 + 2 + 6 = 27 cm. Then we need to take 6 away form 10 again giving us 4, and 2 away from 9, giving us 7. 27 + 4 cm + 7 cm = 38 cm.

A company sells build-your-own robot kits. The profit (in thousands of dollars) for the first 500 kits sold can be modeled by the function P(x), where x is the number of kits sold (in hundreds).

Use synthetic substitution to determine the total profit from the sale of 120 robot kits.​

Answers

$164327.5 is  the total profit made from the sale of 120 robot kits

How to calculate the total profit from the sale of 120 robot kits?

A model function is a way of describing a real-life system or situation using mathematical concepts and language

Given: the model function for profit, P(x) = 0.1x³ - 0.6x² + 1.4x-0.5

To determine the total profit from the sale of 120 robot kits, substitute x = 120 into the profit function:

P(x) = 0.1x³ - 0.6x² + 1.4x-0.5

P(120) = 0.1(120)³ - 0.6(120)² + 1.4(120) - 0.5

P(120) = 172800 - 8640 + 168 - 0.5

P(120) = $164327.5

Therefore, the total profit from the sale of 120 robot kits is $164327.5

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If it takes someone t minutes to drive run or walk a mile then their averages speed

Answers

EXPLANATION

Since the average speed is given by the equation:

[tex]s(t)\text{ = }\frac{60}{t}[/tex]

Computing s(10) and s(12):

[tex]s(10)\text{ = }\frac{60}{10}=6[/tex]

Now, computing s(12):

[tex]s(12)=\frac{60}{12}=5[/tex]

In conclusion, the solutions are:

s(10) = 6 miles per hour

s(12) = 7 miles per hour

Other Questions
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