how do you explain 15 video games to 18 video games in ratios and rates?

The probability that a person who tests positive actually has the disease is approximately 0.194.

What exactly is probability?

Probability is a measure of an event's possibility or chance of occurring. It is stated as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event. Probabilities ranging from 0 to 1 reflect occurrences that are probable but not guaranteed.

P(A) denotes the probability of an event A as the ratio of the number of possibilities that favour event A to the total number of potential outcomes. In other words, it is the number of possible outcomes for event A divided by the total number of possible outcomes.

Now,

To compute the probability that a person who tests positive actually has the disease, we can use Bayes' theorem, which states that:

P(A|B)=P(B|A)*P(A)/P(B)

where A and B are events, P(A | B) is the probability of event A when event B has occurred, P(B | A) is the probability of event B when event A has occurred, P(A)= prior probability of event A, and P(B) = prior probability of event B.

In this case, let A be the event of having the disease and B be the event of testing positive.

The incidence rate of the disease is 0.8%, which means that P(A) = 0.008.

The false negative rate is 6%, which means that P(B' | A) = 0.06 (where B' is the complement of event B, i.e., testing negative given that the person has the disease).

The false positive rate is 3%, which means that P(B | A') = 0.03 (where A' is the complement of event A, i.e., not having the disease).

We can compute P(B) using the law of total probability:

P(B) = P(B|A)*P(A) + P(B|A')*P(A')

= (1-P(B'|A))*P(A)+P(B|A')*(1-P(A))

= (1 - 0.06) * 0.008 + 0.03 * (1 - 0.008)

= 0.0328

Now we can use Bayes' theorem to compute P(A | B):

P(A | B) = P(B | A) * P(A) / P(B)

= (1 - P(B' | A)) * P(A) / P(B)

= (1 - 0.06) * 0.008 / 0.0328

= 0.194

Therefore,

                 the probability will be 0.194.

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Answer:

Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:

7 + 24 + 14 + 1 + 4 = 50

Therefore, there are 50 individuals included in the summary.

Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.

Answer:

I might what do you need help with?

Step-by-step explanation:

Answer:

2.7

Step-by-step explanation:

15/1 = 40/x

Cross multiply: 40/15

Divide: 2.66

Round up: 2.7

2.7 times 15= 40.5

Answer:

2hrs. 40mins.

Step-by-step explanation:

A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $40?

x = hours she babysat

Equation:

15x = 40

Divide to isolate x:

15x = 40

/15   /15

x = 8/3 hrs.

Now, we convert into hours and minutes, since she did work for more than an hour, to earn the $15 each hour.

We know that there are 60 mins. in an hour

60 * 8/3

480/3

160 mins.

Convert into hour and mins:

1 hr. = 60 mins

160/60 = 2 40/60 ==> 2 2/3

Convert 2/3 into mins to add to the hours:

60 * 2/3

120/3 = 40

2hrs. + 40 mins.

2hrs. and 40mins

Therefore, the babysitter was there for 2hrs. 40mins.

Hope this helps!

Answer: A

In looking for solutions in the graph of y=f(x) where f(x) = 0, you're looking for the x-intercepts.  The catch is that you only want the x-value of the intercepts.

The intercepts are (-4,0) and (7,0), so the solutions are -4 and 7.

Answer:

so what your going to to is your goi-----------------------------------------------------

Step-by-step explanation:

\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)

The essays that she can review in 1 hour would be; 2 2/3.

A fraction represents a part of a number or any number of equal parts.

We are given that English teacher reviewed 2 /3 of an essay in 1/ 4 of an hour.

Thus, Fraction of the essay reviewed = 2/3

Amount of time used = 1/4

Therefore, the fraction of essay for an hour can be calculated as;

= Fraction of the essay reviewed / Amount of time used

= 2/3 ÷ 1/4

= 2/3 × 4

= 8/3

= 2 2/3

Hence, She will review 2 2/3 essay.

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Answer:

Step-by-step explanation:

First off, you need to add up AB and BC. You would get the equation:

2(3x-4)=62, since there are two segments. Solve it/simplfy.

6x-8=62 => 6x=70 => x= 11.66666(forever)

Since you alreday solved one, you easily know the answer is c.

Answer:

8x-4

Step-by-step explanation:

multiply 2x-1 * 4

1. Move the negative sign to the left.

- \(\frac{19}{8}\)\(X\)*-50

2. Use this rule: \(\frac{a}{b}\)\(*\)\(\frac{c}{d}\)=\(\frac{ac}{bd}\)

-\(\frac{19x*-50}{8}\)

3. Simplify -  \(\frac{-950x}{8}\)

4. Move the negative sign to the left.

-(-950x/8)

5. Simplify 950x/8 to 475x/4

6. Remove parentheses.

The correct option is (e) i.e. 3.0.

What are Units ?

In math, units refer to a standard of measurement used to quantify a quantity. Units are used to specify the magnitude of a physical quantity or measurement, such as length, mass, time, temperature, and so on.

The use of units is important in math and science because it allows us to communicate and compare measurements effectively. Without units, it would be difficult to understand or compare different measurements, as they would lack a common reference point.

According to the United States Environmental Protection Agency (EPA), transportation is the largest contributor to greenhouse gas emissions in the United States, responsible for approximately 29% of total greenhouse gas emissions in 2019. In comparison, agriculture accounted for approximately 10% of total greenhouse gas emissions in the same year.

Therefore, for every pound of warming gas produced by agriculture, approximately 2.9 pounds of warming gas are produced by transportation.

So, the closest option from the given choices is 3.0.  

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When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.

To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.

An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.

The given expression is:

jkh + hj - jk

Substituting the given values of h, j, and k, we get:

jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))

Now simplify the expression

jkh + hj - jk = (-20) + 20 + 5

jkh + hj - jk = 5

Therefore, the value of  jkh + hj - jk equals 5.

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The approximate surface area of the package is approximately 245.05 square inches.

The best model for the package is a cylinder.

To calculate the approximate surface area of the package, we need to find the lateral surface area of the cylinder and the area of the circular base.

The lateral surface area of a cylinder can be calculated using the formula:

Lateral Surface Area = 2πrh

where r is the radius of the base and h is the height.

The area of the circular base can be calculated using the formula:

Area of Base = \(πr^2\)

Given that the diameter of the bottom is 9 inches, the radius (r) would be half of that, which is 4.5 inches.

Using the given height of 13 inches, we can now calculate the surface area:

Lateral Surface Area = 2πrh = 2π(4.5)(13) ≈ 117.81 square inches

Area of Base = \(πr^2 = π(4.5)^2 ≈ 63.62\) square inches

To find the total surface area, we add the lateral surface area and the area of the base:

Total Surface Area = Lateral Surface Area + 2 × Area of Base = 117.81 + (2 × 63.62) ≈ 245.05 square inches

Therefore, the approximate surface area of the package is approximately 245.05 square inches.

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To answer this question, we will use the following general form of an exponential model:

where P is the initial amount, r is the rate in decimal form, and t is the time.

In this case, since the herbicide degrades, the sign inside the parenthesis will be a minus sign, P=200, r=0.11, and t will be the time in weeks, therefore the number of gallons after t weeks can be modeled by the following equation:

Evaluating the above equation at t=2, we get:

(Answer part 1)

If we set T=50, and solve for t, we get:

(Answer part 2)

Answer:

There will be 158 gallons after 2 weeks.

In about 12 weeks the landscaper has to put another dose.

Answer:

first option

Step-by-step explanation:

integers are like whole numbers but can also be negative

Answer:

A

Step-by-step explanation:

The two triangles are similar, so the ratio of their corresponding sides is equal. Let $x$ be the width of the river. Then, the ratio of the corresponding sides of the triangles is $\frac{x}{61} = \frac{23.4}{31}$. Solving for $x$, we get $x = \frac{23.4}{31} \cdot 61 = \boxed{46}$ meters.

Using inequalities, Y(x=0) = -2 and X(y=0) = -2 in region 1.

To pick area 1, draw a line at the intersection of (-2,0) and (0, -2), then choose the right side. such as.

Region 2) To pick the region to the left or upwards in region 2, we must draw a line from (0,2) to (-2,4).

Y(x=0) = 2\sX(y=-2) = -4

Region 3) To pick the region to the right, we must draw a line connecting (-4,0) and (0,4), as I'll demonstrate.

Inequalities in mathematics describe the relationship between two non-equal numbers. Equal does not necessarily mean unequal. When two values are not equal, we typically use the "not equal symbol ()". However, several inequalities are utilised to compare the numbers, whether it is less than or higher than.

The feasible area is now visible. Let's determine the vertices' coordinates.

Where the blue and green lines intersect is our first vertex.

3x + 2 = x + 4 and y = 3x + 2

3x - x = 4 - 2

y = 3× (1) + 2 = 3 + 2 = 5 when 2x = 2x = 1

(X, Y) = Vertex 1 (1,5)

The intersection of the red and green lines is at vertex #2:

y = -x -2; y = x + 4; y = x + 4 = -x - 2; and y = x + x = -2 - 4

2x = -6, x = -6/2, and y = (-3) + 4 = -3 + 4 = 1 are the results.

(X, Y) = Vertex 2 (-3,1)

The intersection of the red and blue lines is at vertex 3:

y = -x - 2, y = 3x + 2 -x - 2, and y = 2 + 2 -4 x = 4 x = -4 / 4 = -1;

So, y = 3×(-1) + 2 = -3 + 2 = -1

(X, Y) = Vertex 3 (-1, -1)

Let's now modify the graph by including the supplied equation.

The intercept where Y=0 is 0 is given by f(x,y) = -3x + 5y = 0 5y = 3x + 0 y = 3/5 × X + 0

the gradient m = 3/5

A line can be drawn from (0,0) to (-10, -6)

Let's now examine how it would appear in the area where it is practical.

We can see that the function intercepts the blue line or the line of the second section, which is where the largest value is located.

y = 3x + 2 3x + 2 (3/5 - 3) x = 2 -12/5 × x = 2 x = -5/6.

Hence, y = 3x + 2 3/5 × (-5/6) = -1/2.

The maximum is therefore found at (x,y) = (-5/6, -1/2).

The point where the function crosses the red line now marks the minimum.

y = 3/5 × x; y = -x -2

3/5 x = -x - 2\s (3/5 + 1) × x = -2\s8/5 x = - 2\sx = -2× (5/8) = -5/4.

y = 3/5 × (-5/4) = -3/4

The minimum is thus found at (x,y) = (-5/4, -3/4)

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Answer:

number of non students=140, students=280

Step-by-step explanation:

let non students be x.

so according to condition, non students=x*9

students=2x*7

now,

2x*7+x*9=3220

so, x=140

The graph of f(x) relate to its parent function by B. The parent function has been translated up.

Given that

f(x) = 3x +2 +4

When evaluated, we have

f(x) = 3x + 6

The parent function of the above is

f(x) = 3x

When f(x) = 3x is compared to f(x) = 3x + 6, we have

Difference = 6

This means that the parant function is translated up by 6 units

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Step-by-step explanation:

a) 11*5=55

15*5=75

8*5+5=45

b) No, because (55+75+45=175°) and the perimeter of a triangle is 180°

The zeros with each multiplicity are given as follows:

The factor theorem is used to define the functions, which states that the function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

Considering the linear factors of the function in this problem, the zeros are given as follows:

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Answer:

20 mpg

Step-by-step explanation:

Given:

A passenger car will go 310 miles on 15.5 gallons of gasoline in city driving. What is the rate in miles per gallon?

Solve:

To find the rate in miles per gallon we have to divide.

Knowing that "Per" means "Each/One"

Hence, to find miles per gallon we divide :

Miles by Gallons

⇒ 310/15.5

Solving using long division format: ( Multiply both by 10 first)

\(155\overline{|\smallspace3100}\:\:\:\:\)

Divide 310 by 155 to get 2:

\(\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ 155\overline{|\smallspace3100}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

Divide 0 by 15.5 to get 0.

\(\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ 155\overline{|\smallspace3100}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace1\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\emptyspace0}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace0\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}\)

Hence, the rate is 20 mpg.

~kavinsky

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

We have,

To determine how long it will take for there to be 150mg of aspirin left in the bloodstream, we can use the concept of half-life.

The half-life of aspirin is given as 6 hours, which means that after every 6 hours, the amount of aspirin in the bloodstream reduces by half.

Let's calculate the number of half-lives required to reach 150mg:

Initial amount of aspirin = 625mg

Final amount of aspirin = 150mg

625mg / 150mg = 4.17

This means it will take approximately 4.17 half-lives for the amount of aspirin in the bloodstream to reduce from 625mg to 150mg.

Since each half-life is 6 hours, we can calculate the total time it will take:

Total time = Number of half-lives * Half-life duration

Total time = 4.17 x 6 hours

Total time ≈ 25 hours and 1 minute

Therefore,

It will take approximately 25 hours and 1 minute for there to be 150mg of aspirin left in the bloodstream.

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Answer:

167688 ways

Step-by-step explanation:

Given that:

Number of boys = 17 &;

Number of girls = 19

The number of ways that five students can be chosen such that more boys than girls are selected are:

The ways of choosing = 5 boys 0 girls + 4 boys 1 girl + 3 boys 2 girls

The ways of choosing = \(^{17}C_5 +( ^{17}C_4 \times ^{19}C_1} )+( ^{17}C_3 + ^{19}C_2})\)

The ways of choosing = \(\dfrac{17!}{5!(17-5)!} + \begin {pmatrix} \dfrac{17!}{4!(17-4)!} \times \dfrac{19!}{1!(19-1)!} \end {pmatrix} + \begin {pmatrix} \dfrac{17!}{3!(17-3)!} \times \dfrac{19!}{2!(19-2)!} \end {pmatrix}\)

\(=\dfrac{17!}{5!(12)!} + \begin {pmatrix} \dfrac{17!}{4!(13)!} \times \dfrac{19!}{1!(18)!} \end {pmatrix} + \begin {pmatrix} \dfrac{17!}{3!(14)!} \times \dfrac{19!}{2!(17)!} \end {pmatrix}\)

\(=\dfrac{17*16*15*14*13*12!}{5!(12)!} + ( \dfrac{17*16*15*14*13!}{4!(13)!} \times \dfrac{19*18!}{1!(18)!} ) + ( \dfrac{17*16*15*14!}{3!(14)!} \times \dfrac{19*18*17!}{2!(17)!} )\)\(=6188 + ( 2380\times19 ) + (680 \times171)\)

= 167688 ways

Using the combination principle, the number of ways of selecting 5 students such that the number of boys is greater the number of girls selected ls 167688 ways.

Number of selections to be made = 5

In other to choose more boys than girls :

Using the combination relation :

(17C5 × 19C0) + (17C4 × 19C1) + (17C3 × 19C2)

(6188 × 1) + (2380 × 19) + (680 × 171)

(6188 + 45220 + 116280)

= 167688 ways

Therefore, the Number of ways of making the selection is 167688 ways

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Answer:

\(v=480 ~in^3\)

Step-by-step explanation:

\(v=1/3 Bh\)

\(1/3(12)^210=\)

\(480 ~in^3\)

------------------------

hope it helps...

have a great day!!!

Answer:

Given below.

Explanation:

A) 0.02 = \(\frac{2}{100}\) =  \(\frac{1}{50}\)

B) 12% = \(\frac{12}{100}\) = \(\frac{6}{50}\) = \(\frac{3}{25}\)

C) 0.5% = \(\frac{0.5}{100}\) = \(\frac{1}{200}\)

D) 1.12 = \(\frac{28}{25}\)

Answer:

For this case we know that the medicine ball weighs 3.6 Kg and we know that there are about 2.2 pounds in every Kg.

So then we can find the amount Kg with this expression:

\( 3.6 Kg *\frac{2.2 pounds}{1 Kg} = 7.92 pounds\)

And if we round to the nearest integer we got 8 pounds and the best answer would be:

8 pounds

Step-by-step explanation:

For this case we know that the medicine ball weighs 3.6 Kg and we know that there are about 2.2 pounds in every Kg.

So then we can find the amount Kg with this expression:

\( 3.6 Kg *\frac{2.2 pounds}{1 Kg} = 7.92 pounds\)

And if we round to the nearest integer we got 8 pounds and the best answer would be:

8 pounds

Answer:8

Step-by-step explanation:round 7.92

The missing number in the expression (5 x 7) + (n x 4) = 5 x (7+ 4) is 5.

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, An expression (5 × 7) + (n × 4) = 5 × (7 + 4).

Now, If we expand the RHS we have,

5×(7 + 4).

= (5 × 7) + (5 × 4).

Now, Writing the obtained RHS with LHS we have,

(5 × 7) + (n × 4) =  (5 × 7) + (5 × 4).

So, The missing number is 5.

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