The one-time fling! Have you ever purchased an article of clothing (dress, sports jacket, etc.), worn the item once to a party, and then returned the purchase? This is called a one-time fling. About 10% of all adults deliberately do a one-time fling and feel no guilt about it! In a group of eight adult friends, what is the probability of the following? (Round your answers to three decimal places.)
A button hyperlink to the SALT program that reads: Use SALT.
(a) no one has done a one-time fling
(b) at least one person has done an one time fling
(c) no more than two people have done a one time fling

Answer:

There is approximately 17% chance of a person not having a disease if he or she has tested positive.

Step-by-step explanation:

Denote the events as follows:

D = a person has contracted the disease.

+ = a person tests positive

- = a person tests negative

The information provided is:

[tex]P(D^{c})=0.95\\P(+|D) = 0.98\\P(+|D^{c})=0.01[/tex]

Compute the missing probabilities as follows:

[tex]P(D) = 1- P(D^{c})=1-0.95=0.05\\\\P(-|D)=1-P(+|D)=1-0.98=0.02\\\\P(-|D^{c})=1-P(+|D^{c})=1-0.01=0.99[/tex]

The Bayes' theorem states that the conditional probability of an event, say A provided that another event B has already occurred is:

[tex]P(A|B)=\frac{P(B|A)P(A)}{P(B|A)P(A)+P(B|A^{c})P(A^{c})}[/tex]

Compute the probability that a random selected person does not have the infection if he or she has tested positive as follows:

[tex]P(D^{c}|+)=\frac{P(+|D^{c})P(D^{c})}{P(+|D^{c})P(D^{c})+P(+|D)P(D)}[/tex]

              [tex]=\frac{(0.01\times 0.95)}{(0.01\times 0.95)+(0.98\times 0.05)}\\\\=\frac{0.0095}{0.0095+0.0475}\\\\=0.1666667\\\\\approx 0.1667[/tex]

So, there is approximately 17% chance of a person not having a disease if he or she has tested positive.

As the false negative rate of the test is 1%, this probability is not unusual considering the huge number of test done.

Ask your teacher. I think that'll be the best decision for you since I can't do anything for you as a user in brainly.

Answer:

230

Step-by-step explanation:

You should multiply 345 by 2/3 or you can divide 345 by 3, which equaks 115 and then multiply 115 by 2 which equals 230.

The number of boys in the school is 207.

Given

The ratio of girls to boys in a school simplifies to 2:3.

We need to find out how many boys are there if there are 345 students in the school.

The ratio gives us an idea between two quantities.

It is denoted by a:b

Example:

The ratio of apple and mango in the basket is 1:2.

The total number of fruits is 12.

Apple = [ 1 / (1+2) ] x 12 = (1/3) x 12 = 4

Mango = [ 2/(1+2) ] x 12 = (2/3) x 12 = 2 x 4 = 8

We have,

Total number of students = 345

The ratio of girls to boys = 2:3

The number of boys :

= [ 3 / (2+3) ] x 345

= [ 3/5 ] x 345

= 3 x 69

= 207

Thus the number of boys in the. school is 207.

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Step-by-step explanation:

Consider two points on a curve, (xᵢ, yᵢ) and (xᵢ₊₁, yᵢ₊₁).  The distance between them can be found with distance formula:

d = √((xᵢ₊₁ − xᵢ)² + (yᵢ₊₁ − yᵢ)²)

d = √((Δx)² + (Δy)²)

Factor out Δx:

d = √(1 + (Δy/Δx)²) Δx

Adding up the distances from i=1 to i=n, the total arc length can be approximated as:

s ≈ ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx

Taking the limit as n approaches infinity, we get the exact value of s:

s = lim(n→∞) ∑ᵢ₌₁ⁿ √(1 + (Δy/Δx)²) Δx

Which can be written as a definite integral:

s = ∫ₐᵇ √(1 + (dy/dx)²) dx

The value of the function f(x) at x = - 2 is equivalent to 32.

Given is that the average rate of change of the function f(x) on the interval -2 is less than or equal to [x] which is less than or equal to 4 is -3.5.

In the range of {- 2 ≤ x ≤ 4}, the rate of change of f(x) is -3.5. This means we can write -

r = {f(4) - f(-2)}/(4 + 2)

f(4) = 11 and [r] = - 3.5. So, we can write -

- 3.5 = {11 - f(-2)}/6

11 - f(-2) = -3.5 x 6

11 - f(-2) = - 21

f(-2) = 11 + 21

f(-2) = 32

Therefore, the value of the function f(x) at x = - 2 is equivalent to 32.

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Answer:

a

 Mutually exclusive

b

Not Mutually exclusive

c

Not Mutually exclusive

d

Not Mutually exclusive

Step-by-step explanation:

From the question we are told that

The number of bolt is n = 12

The event that all the bolt are torqued correctly is A

The event that the 3rd bolt is not torqued correctly is B

The event that exactly one bolt is not torqued correctly is C

The event that the [tex]4^{th}[/tex] and [tex]8^{th}[/tex] are torqued correctly is D

Generally for an event to be mutually  exclusive it means that both event can not occur at the same time

    Considering a  

      The  A and  B are mutually exclusive because they can not occur at the same time

    Considering b  

 The  event B and D are not mutually exclusive because they can occur at the same time

    Considering c

 Event  C and  D are not mutually exclusive because they can occur at the same time

    Considering d

   Event       B and  C are not mutually exclusive because they can occur at the same time

Answer:

h

Step-by-step explanation:

Answer:

x² + 2x - 3

Step-by-step explanation:

Step 1: Write expression

(4x² - 3x + 1) - (3x² - 5x + 4)

Step 2: Distribute negative

4x² - 3x + 1 - 3x² + 5x - 4

Step 3: Combine like terms (x²)

x² - 3x + 1 + 5x - 4

Step 4: Combine like terms (x)

x² + 2x + 1 - 4

Step 5: Combine like terms (constants)

x² + 2x - 3

Answer:

$4.46

Step-by-step explanation:

$60- 24.32= $35.68

So $35.68=8 bags of potatoes.

Then ÷8 to find 1 bag.

$35.68 ÷8 = $4.46

$4.46=1 BAG

Answer:

55

Step-by-step explanation:

This is the equation of a parabola. To make things simpler, we can replace [tex]h[/tex] with [tex]y[/tex] and [tex]t[/tex] with [tex]x[/tex]. Therefore, [tex]y=-5x^2+30x+10[/tex]. Because the coefficient of the [tex]x^2[/tex] term is negative, we know the parabola points down, and the maximum height is the vertex. The x coordinate of the vertex of a parabola can be found with the equation [tex]-\frac{b}{2a}[/tex], or [tex]-\frac{30}{-10} = 3[/tex]. Plugging in [tex]3[/tex] into the equation gives us [tex]y = -5(3)^2+30(3)+10 = \boxed{55}[/tex]

Answer:

the answer is A

Step-by-step explanation:

I=360 ........

Answer:

11/18

Step-by-step explanation:

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

Answer:

11/18

4/9 + 1/6

Get a common denominator of 18

4/9 * 2/2 = 8/18

1/6 * 3/3 = 3/18

8/18+3/18

11/18

ez

Step-by-step explanation:

Answer:

5.150214592274678

Step-by-step explanation:

Answer:

12/21

Step-by-step explanation:

12/7 /3 = 12/7 * 1/3

12/7 * 1/3 = 12*1 / 7*3

12*1 / 7*3 = 12/21

Answer:

  17.74

Step-by-step explanation:

The fraction is easily converted to one with a denominator of 100 (a power of 10):

  [tex]\dfrac{37}{50}=\dfrac{37\cdot 2}{50\cdot 2}=\dfrac{74}{100}=0.74[/tex]

Then the number of interest is ...

  17 37/50 = 17 74/100 = 17.74

Answer:T = 0.6

Step-by-step explanation:Simplifying

3t + -5 = 0

Reorder the terms:

-5 + 3t = 0

Solving

-5 + 3t = 0

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + 3t = 0 + 5

Combine like terms: -5 + 5 = 0

0 + 3t = 0 + 5

3t = 0 + 5

Combine like terms: 0 + 5 = 5

3t = 5

Divide each side by '3'.

t = 1.666666667

Simplifying

t = 1.666666667

Answer:

t = 5/3

t = 1 2/3

Step-by-step explanation:

Hi !

3t - 5 = 0

3t = 0 + 5

3t = 5

t = 5/3

t = 1 2/3

Good luck !

Answer:

X = 1/2f - 1

Step-by-step explanation:

X is how many painted turtles in the pond. This would be the expression that you would you use to find the actual number of turtles, but we are just leaving it at the expression.

Answer:

(1) The cost formula is: y = $19,050 + $12·x.

(2) The cost of moving materials if 340 moves are made is $23,130.

(3) 82.81% of the variability in moving cost is explained by the number of moves.

Step-by-step explanation:

The computer output for the regression analysis of 80 data points is as follows:

Intercept:  $19,050

Slope: 12

Coefficient of correlation: 0.91

Standard error:  $220

(1)

The general formula of regression equation is:

y = a + b·x

Here,

a = intercept

b = slope

The cost formula is:

y = $19,050 + $12·x

(2)

Predict the cost of moving materials if 340 moves are made as follows:

[tex]y = 19050 + 12\cdot x\\=19050+12\times 340\\=19050+4080\\=23130[/tex]

Thus, the cost of moving materials if 340 moves are made is $23,130.

(3)

The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).

The coefficient of determination R² can be computed by squaring the correlation coefficient value.

[tex]R^{2}=(r)^{2}=(0.91)^{2}=0.8281[/tex]

Thus, 82.81% of the variability in moving cost is explained by the number of moves.

Answer:

since [tex]17+24=41[/tex]

a) [tex]\frac{\binom{17}{12}}{\binom{42}{12}}[/tex]

b) [tex]\frac{\binom{24}{12}}{\binom{42}{12}}[/tex]

c) [tex]\frac{\binom{17}{8} \cdot \binom{24}{4}}{\binom{42}{8}\cdot\binom{36}{4}}[/tex]

d) [tex]\frac{\binom{17}{6}\cdot\binom{24}{6}}{\binom{17}{6}\cdot\binom{36}{6}}[/tex]

Just calculate these. If there is anything wrong just let me know.

Answer:

The common ratio of the geometric sequence is -4

Step-by-step explanation:

Geometric Sequence

A geometric sequence is defined as a series of numbers that follow a fixed pattern: Each term equals the previous term times a fixed number called the common ratio. The recursive formula is:

[tex]a_n=a_{n-1}*r[/tex]

Where r is the common ratio.

We are given three terms of a geometric sequence:

18,-72,288,...

To find the common ratio, just divide each term by the previous term:

[tex]\displaystyle r=\frac{-72}{18}=-4[/tex]

Make sure it's a fixed number and test with the third term:

[tex]\displaystyle r=\frac{288}{-72}=-4[/tex]

Since both numbers coincide, the common ratio of the geometric sequence is -4

Answer:

This is me drawing notes in the blank

Doodle* doodle* drawing noise* drawing noise* There you go ;)

Answer: What is this supposed to mean

Step-by-step explanation:

P.S follow me on ticktok nuggie_dude lol

Answer:

C

Step-by-step explanation:

Answer:

D) positive association because the data on the scattergraph is decreasing (y axis) as the x axis increases.

Basically the data: theres a cluster, an outlier and has a negative association. Not a positive association.

Answer:

1/2

1/3

6

1/6

Step-by-step explanation:

When we are finding the opposite of a scale factor, the scale factor is always the reciprocal. E.g. From S to R, the scale factor is 3, so from R to S, the scale factor is 1/3 so:

1. From T to S, it's the reciprocal of the scale factor (2) so 1/2

2. From S to R, it's the reciprocal of the scale factor (3) so 1/3

3. From R to T, is the from a figure to a figure to a figure so we can multiply the two scale factors (2 and 3) to get 6

4. From T to R, that's the opposite of R to T, so it's the reciprocal of the scale factor from R to T (6) so 1/6

Answer:

7 x 5 = 35 or the amount lost

Step-by-step explanation:

Answer:

585 km

Step-by-step explanation:

rate of speed formula: distance/time

455/7=65

65*9=585