Suppose the prevalence of is 12.5%. We assume the
diagnostic test has a sensitivity of 80% and a
95% specificity. What is the probability of getting a negative
result?

After considering all the options we conclude that the debut of the 911 and 988 hotlines was for 54 years, which is Option B.

The first 911 emergency call was made in 1968 in Alabama. The 988 hotline is a new national mental health crisis hotline that was mandated by the federal government in October 2020 with an official nationwide start date on July 16, 2022. Therefore, the number of years between the debut of the 911 and 988 hotlines is 54 years.

A hotline refers to a phone line which is provided for  the public so that they can apply it to contact an organization about a particular subject. Hotlines gives people opportunity express their concerns and to obtain information from an organization.
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Answer:

Favourable outcomes = {1,4,6,8,9,10,12,14,15,16,18,20,21,22,24,25}

Number of favourable outcomes=16

Number of total possible outcomes=25

p(not a prime) = (number of favourable outcomes) / number of total possible outcomes

=16/25

Required Sample space of the following event ( Non- prime numbers between 1 to 25 )

\(\dashrightarrow\) 1, 4, 6, 8,9 10,12, 14, 15, 16,18, 20, 21, 22, 24, 25

Number of Favourable Outcomes = 16

Total number of outcomes = 25

Now as we know

Probability of an event =

\(\star\;\boxed{\sf{\pink{\dfrac{ Favourable\; number\;of\; outcomes}{Total\; number\;of\; outcomes}}}}\)

Probability = 16/25

Hence, probability that the number is not a prime number is 16/25.

Here is hοw far away frοm the cliff's edge Andrea is 233 feet.

The British imperial and American custοmary systems οf measurement bοth use the unit οf length knοwn as the fοοt (plural: feet), standard symbοl: ft. Usually used as an alternate symbοl is the prime symbοl, ′. One yard is equal tο three feet in bοth custοmary and imperial measures; οne fοοt is equal tο 12 inches.

Thrοughοut histοry, the "fοοt" was a cοmpοnent οf a number οf regiοnal systems οf measurement, including the Greek, Rοman, Chinese, French, and English systems. Frοm οne natiοn tο the next, frοm οne city tο the next, and perhaps frοm οne trade tο the next, it varied in length. Its length was οften divided intο 12 inches οr 16 numbers and ranged frοm 250 tο 335 mm in length, thοugh this was nοt always the case.

42º is the base angle.

The grοund distance is οn the next side.

The height οf the οther side is 215 - 5.25= 209.75.

As a result, the distance is calculated as fοllοws:

tan(42º) = 209.75/d

d = 209.75/tan(42º)

d = 233 ft.

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To determine the value of \( n \) such that the average rate of change of the function \( f(x) = x^2 - 3x + 7 \) on the interval \( -5 \leq x \leq n \) is \( -1 \), we need to find the average rate of change of the function and set it equal to \( -1 \). By using the formula for the average rate of change, \(\frac{{f(b) - f(a)}}{{b - a}}\), where \( a \) is the starting point of the interval and \( b \) is the ending point, we can set up the equation and solve for \( n \).

The average rate of change of a function on an interval is defined as the difference in the function values divided by the difference in the corresponding input values. In this case, we have the function \( f(x) = x^2 - 3x + 7 \) and the interval \( -5 \leq x \leq n \).

To find the average rate of change, we use the formula: \(\frac{{f(b) - f(a)}}{{b - a}}\), where \( a \) is the starting point of the interval and \( b \) is the ending point. In this case, \( a = -5 \) and \( b = n \).

We want the average rate of change to be \( -1 \), so we set up the equation: \(\frac{{f(n) - f(-5)}}{{n - (-5)}} = -1\). Substituting the function \( f(x) = x^2 - 3x + 7 \) and solving for \( n \), we can determine the value of \( n \) that satisfies the given condition.

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The perimeter of the semicircle is 66. 846 meters

The formula for finding the perimeter of a semicircle is

Perimeter = πr + 2r

We were given diameter = 26meters

Radius, r = diameter/2

radius = 26/ 2 = 13 meters

π = 3. 142

Substitute value into the formula

Perimeter = 3. 142 × 13 + 2 × 13

Perimeter = 40. 846 + 26

Perimeter = 66. 846 meters

Thus, the perimeter of the semicircle is 66. 846 meters

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Answer:

10,2

Step-by-step explanation:

Answer:

The correct answer is x = -4

Step-by-step explanation:

Step 1: 8x + 1 = -31 <----- This is the original equation.

Step 2: 8x + 1 - 1 = -31 - 1 <----- Subtract 1 from both sides.

Step 3: 8x = -32 <----- Simplify

Step 4: 8x/8 = -32/8

             x = -4

Hope this helps! :D

Step-by-step explanation:

First start with the graph of    y = | x|

  then shift it RIGHT one unit

         | x -1 |

  then shift it DOWN one unit

  y=   |x-1| -1

Answer:

56

Step-by-step explanation:

each can fit 8 chickens so that means that 7 coops can fit 56 chickens

8×7=56

SORRY I CANT ADD ANSWER AND SAYS RUDE THEN I HAVE IDEA SCREENSHOT

MAYBE HELP THIS LINK

on picture

\(\leadsto\overline{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~}\curvearrowleft\)

\(\textsl{Answer.}\)

See Below. \(\bigtriangledown\!\!\!\!\bullet\)

\(\leadsto\overline{~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~}\curvearrowleft\)

\(\textsl{Explanation.}\)

Let's examine our equation first

\(\textmd{y=mx+c}\). In which "m" denotes  "gradient" \(\&\) "c" denotes "y intercept".

\(\mid\odot\odot\odot\odot\odot\odot\odot\odot\odot\odot\odot\odot\odot\odot\mid\)

But now you should notice something.

\(\bullet\) The quantity that denotes the gradient is multiplied times x.

\(\bullet\) The quantity that denotes the y intercept is added to the gradient times x.

\(\textsl{that's how we can find m and c in the equation!}\)

Hope that this helped! Best wishes

\(\star\triangleright\textsl {Reach \: far.\:Aim\: high.\:Dream\:big.}\triangleleft\star\)

\(\boldsymbol{-Greetings!-}\)

______________________

Answer:

$7666.7

Step-by-step explanation:

1800 + 500 = 2300. That means that 30% = 2300. If u divide both sides by 3 then 10% = 766.67 times that by ten and then that will equal $7666.7

The supremum of the set A does not exist (it is negative infinity), and the infimum of the set A is 1.

To define the supremum and infimum of the set A, we first need to determine the properties of the set.

The set A is defined as A = {(x-3)/(x-2) ∈ R : x < 0}.

To find the supremum (also known as the least upper bound) of A, we need to find the smallest value that is greater than or equal to all the elements of A. In other words, we are looking for the least upper bound of the set A.

Let's analyze the elements of A:

For x < 0, the expression (x-3)/(x-2) can take on different values depending on the value of x. We need to find the maximum value that this expression can reach for all x < 0.

As x approaches 0 from the left side, (x-3)/(x-2) approaches negative infinity. Therefore, there is no finite supremum for the set A.

Next, let's find the infimum (also known as the greatest lower bound) of A. We need to find the largest value that is less than or equal to all the elements of A. In other words, we are looking for the greatest lower bound of the set A.

Again, analyzing the elements of A:

As x approaches negative infinity, (x-3)/(x-2) approaches 1. Therefore, the infimum of the set A is 1.

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Answer:

A is -8

B is 28

Step-by-step explanation:

Let us rewrite the equation in the standard format of y = mx + b

By = -Ax + 12

y = (-A/B)x + 12/B

Now, since the line is parallel to the line given below, then their slopes must be equal

2x - 7y = 3

7y = 2x - 3

y = (2/7)x - 3/7

slope here is 2/7

Thus;

-A/B = 2/7

let’s now insert the point that the line passes through

We have;

1 = (-A/B)2 + 12/B

but -A/B = 2/7

1 = 4/7 + 12/B

12/B = 1 - 4/7

12/B = 3/7

B = (7 * 12)/3

B = 28

-A/28 = 2/7

-7A = 56

A = 56/-7

A = -8

One mole of nitrogen gas at STP (standard temperature and pressure) occupies a volume of 22.4 liters.

What is gas volume?

The volume of the a system is a crucial extensive criterion for describing it's own thermodynamic state in thermodynamics. The game's volume per unit of mass is known as the fixed volume, an intensive property. Volume depends on state and on other thermodynamic characteristics like pressure and temperature. The ideal gas law, for instance, relates the volume of an ideal gas to its pressure and temperature.

A system's physical volume might or might not match the control volume used it to study the system.

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Answer:

30% Markup

Step-by-step explanation:

10-7= 3 3=30%

$700/100 = 7 so they were originally bought at $7. they are sold at $10 so they are raised by $3. the percent they are raised by is 3/7, or about 43%

Answer:

c

Step-by-step explanation:

The strategy for generating a hypothesis that does not fit among the options provided is option C) Thinking of things unilaterally.

Introspection, finding exceptions to the rule, and thinking about variables in terms of amount or degrees are all valid strategies for generating hypotheses.

Introspection involves reflecting on personal experiences, thoughts, and observations to generate hypotheses about a particular phenomenon or question.

Finding exceptions to the rule involves identifying instances that do not conform to the expected pattern or generalization, which can lead to the formulation of alternative hypotheses.

Thinking about variables in terms of amount or degrees involves considering how varying levels or quantities of a particular variable may impact the outcome or relationship being studied, which can help generate hypotheses about the nature and direction of the relationship.

On the other hand, "thinking of things unilaterally" is not a recognized strategy for generating hypotheses. The term "unilaterally" typically refers to actions or decisions made by one side or party without considering others.

Hypothesis generation involves considering multiple perspectives, factors, and possibilities, rather than approaching it unilaterally.The correct answer is option c.

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No, milliliters (mL) and centiliters (cl) are not the same units of measurement. They are both units of volume, but with different scales.

A milliliter (mL) is a unit of volume in the metric system, equal to one-thousandth of a liter (1 mL = 0.001 L). Milliliters are commonly used to measure the volume of liquids, such as medicine or cooking ingredients.

A centiliter (cl) is also a unit of volume, and it is equal to one hundredth of a liter (1 cl = 0.01 L). Centiliters are less commonly used than milliliters and are generally used in the same contexts where milliliters are used.

In conclusion, mL and cl are different units of volume and cannot be used interchangeably. Milliliters are smaller units than centiliters, so when converting between the two, a conversion factor of 10 must be used. For example, 1 cl = 10 mL.

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Answer:

c

i did it on i ready

Answer:

Top left

Step-by-step explanation:

For every x value, the y values decrease by 2

Step-by-step explanation:

The cube has SIX sides ....each has area   x * x

  total area =   6    *  x*x   =   216     cm^2

                         6x^2 = 216

                              x^2 = 36

                               x = 6 cm

Volume =   x * x * x = 216 cm^3

Multiply this result by two (it's a 2-story house); then, multiply it by the cost per square foot and add the land cost.

Then, the value of the listing is $262558

roots = {-2, -6}

Factors: (x + 6) and (x + 2)

Step-by-step explanation:

There are no exponents or division? as is, all of these are linear because there are no exponents, division by a variable, or square roots. did you miss something writing this? these are all changing at a constant rate.

Answer:

I believe its C- 25%

Step-by-step explanation:

If you count how far it is from 15 to 20 (5) and divide that by 1/20 you should end up with 0.25. Turn that into a percent and you get 25%.

Let me know if Im wrong!

The percentage of the time will Oliver arrive between 15 and 20 minutes late to work is 25%. The correct option is 3.

A probability density function, also known as the density of a continuous random variable in probability theory, is a function whose value at any given sample in the sample space can be interpreted as providing a relative likelihood that the random variable's value will be equal to that sample.

The total area under the uniform density curve between 10 and 30 is equal to 1, which represents 100% of the time.

To find the percentage of the time that Oliver arrives between 15 and 20 minutes late, we need to find the area of the uniform density curve between 15 and 20 and then convert it to a percentage.

The width of the uniform density curve between 15 and 20 is 5 units (20 - 15 = 5), and the height is 1/20. Therefore, the area of this region is:

Area = width x height = 5 x (1/20) = 1/4

To convert this to a percentage, we multiply by 100:

Percentage = (Area/Total area) x 100% = (1/4) x 100% = 25%

Therefore, the answer is 25%.

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The new price after being marked up is less than initial price of $100.

The price of sweatshirt after discount = 100 - 40%×100

Converting percentage to fraction

The price of sweatshirt after discount = 100 - (40/100)×100

The price of sweatshirt after discount = 100 - 40

Performing subtraction

The price of sweatshirt after discount = $60

The marked up sale price = 60 + 40%×60

Converting percentage to fraction

The marked up sale price = 60 + (40/100)×60

Cancelling zero and performing multiplication

The marked up sale price = 60 + 24

Performing addition

The marked up sale price = $84

Thus, the marked up price after discount will be less than the initial price of $100.

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Answer:b

Step-by-step explanation:

The coordinates of X that partitions XY in the ratio 5 to 4 include the following: X (-1.6, -7).

In this scenario, line ratio would be used to determine the coordinates of the point X on the directed line segment AB that partitions the segment into a ratio of 5 to 4.

In Mathematics and Geometry, line ratio can be used to determine the coordinates of X and this is modeled by this mathematical equation:

M(x, y) = [(mx₂ + nx₁)/(m + n)],  [(my₂ + ny₁)/(m + n)]

By substituting the given parameters into the formula for line ratio, we have;

M(x, y) = [(5(2) + 4(-6))/(5 + 4)],  [(5(-11) + 4(-2))/(5 + 4)]

M(x, y) = [(10 - 24)/(9)],  [(-55 - 8)/9]

M(x, y) = [-14/9],  [(-63)/9]

M(x, y) = (-1.6, -7)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

1/4

a-3/4

Step-by-step explanation:

i hope this helps and plz mark me brainliest

The amount will be after 4 years at interest rate of 6%, $624.76

To calculate the total amount you will pay after borrowing $500 for 4 years at an annual interest rate of 6%, you can use the formula for compound interest:

A = P x (1 + r/n)^(nt)

where:

A is the total amount,

P is the principal amount (the initial amount borrowed),

r is the annual interest rate as a decimal,

n is the number of times interest is compounded per year,

t is the number of years the money is borrowed for.

In this case, P = $500, r = 6%, n = 1  and t = 4.

So, the formula becomes:

A = $500 x (1 + 0.06/1)^(1 x 4)

A = $500 x (1.06)⁴

A = $500 x 1.249536

A = $624.76

Therefore, you will pay a total of $624.76 after borrowing $500 for 4 years at an annual interest rate of 6%.

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Using the critical values of t=+/-2.201 is less likely to lead to rejection of the null hypothesis than using the critical values of +/-2.093.

Critical Value Definition -

Critical value can be defined as a value that is compared to a test statistic in hypothesis testing to determine whether the null hypothesis is to be rejected or not.

If the value of the test statistic is less extreme than the critical value, then the null hypothesis cannot be rejected.

Critical values are essentially cut-off values that define regions where the test statistic is unlikely to lie; for example, a region where the critical value is exceeded with probability \alpha if the null hypothesis is true.

Using the critical values of t=±2.201 is more "conservative" than using the critical value of ±2.093 because it is more likely to reject the null hypothesis using the greater value i-e t=±2.201.

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