FIND THE LENGTH OF AB.

Answer:57.6^3

thats t

Answer:

a. All spy novels are long. S (L)

b. Not every mystery is a spy novel S (x,M)

c. Only mysteries are long M ( L)

d. Spy novels are better than mysteries S B(x, y)

e. Only spy novels are better than mystery S B(x)

Step-by-step explanation:

Spy novels and mystery novels both are long. There is a domain function representing mystery novels is better than spy novels. The spy novel can be long and and better than mystery novels. The symbol representation for spy novel and mystery novel is given in the domain function.

Answer:

8.33% probability that she does, in fact, have the disease

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)

In which

P(B|A) is the probability of event B happening, given that A happened.

\(P(A \cap B)\) is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Positive test

Event B: Has the disease

Probability of a positive test:

10% of 100-1 = 99%

90% of 1%

So

\(P(A) = 0.1*0.99 + 0.9*0.01 = 0.108\)

Positive test and having the disease:

90% of 1%

\(P(A \cap B) = 0.9*0.01 = 0.009\)

What is the conditional probability that she does, in fact, have the disease

\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.009}{0.108} = 0.0833\)

8.33% probability that she does, in fact, have the disease

Answer:

circle is pir^2. Triangle is 1/2b*h and rec is B*H

Step-by-step explanation:

The media personality's argument is flawed because they are basing their conclusion on a single year's data and ignoring the overall trend of increasing global temperatures. To counter this argument, one can make the following points:

1. While it is true that the annual increase in temperature may be less than the margin of error, the trend of increasing temperatures over several decades cannot be ignored. The margin of error is a statistical concept that takes into account the uncertainty in the measurement, but it does not negate the overall trend.

2. Global temperature records show that the Earth's temperature has been steadily rising over the past century, with the 10 warmest years on record occurring since 2005. This trend cannot be explained by natural variability alone and is consistent with the effects of human-caused climate change.

3. The consequences of rising global temperatures, such as melting glaciers, rising sea levels, and more frequent extreme weather events, are already being felt around the world. Ignoring this trend could have devastating consequences for future generations.

In summary, the media personality's argument is based on a flawed understanding of statistics and ignores the overall trend of increasing global temperatures. The best counterargument is to highlight the overwhelming evidence of climate change and its potential consequences.

Answer: that contains a high concentration of dissolved salts (mainly sodium chloride.

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

to the the slope of the perpendicular line we must first find the slope of line given in the problem. To do this we must transform this equation into the slope intercept format

The slope intercept form of a liner equation is:

Y = mx + b

Where m is slope and b is the y - intercept value.

solving the equation in the problem for y produces :

3x - 3x + 2y = -3x - 5

0 + 2y = 3x - 5

2y = - 3x - 5

2y = -3x - 5

2 2

y = - 3 x - 5

2. 2

Therefore the slope of this line is m = - 3

2

the slope of perpendicular line is the negative inverse of the slope of the line we are given,or

- 1

m

so for our problem the slope of a perpendicular line is - - 2 = 2

3. 3

Answer:

52.5 in^2

Step-by-step explanation:

Area of pentagon: A = 1/2 × p × a;

where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.

A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5

Given - the system of the equations as

\(y=-2x+1\\y=-11x-3\)

To find - the solution of the set of equation

Explanation- given the set and we can see that left hand side of the equation is equal.

we get

\(-2x+1=-11x-3\\-2x+11x=-3-4\\9x=-7\\x=-7/9=-0.77\)

we get

\(y=-2(0.77)+1\\y=-1.54+1\\y=-0.54\)

Hence the value is x =-0.77, y=0.54

Final answer- the value of x = 0.77, y = -0.54

The statement first, statement third, and statement fifth are correct because the mean for May is 79, mean for October is 62, and mean difference is 17 in degree Fahrenheit.

It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.

We have given data:

Day of the Month     May    October

      2                           74      68

      6                           78      63

      11                           71       59

      23                         81       63

      29                         91        57

The mean high temperature for the selected days in May was:

= (sum of the temperature in May)/number of observations

= 395/5

= 79 °F

The mean high temperature for the selected days in October was:

= (sum of the temperature in October)/number of observations

= 310/5

= 62 °F

The difference in mean high temperatures for the selected days between May and October was:

=79 - 62

= 17 °F

Thus, the statement first, statement third, and statement fifth are correct because the mean for May is 79, mean for October is 62, and mean difference is 17 in degree Fahrenheit.

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Answer:

imagine math answers!

Step-by-step explanation:

Step-by-step explanation:

a/q

x + x - 3 + 2x - 9 = 36

4x - 12 = 36

4x = 36 + 12 = 48

x = 48/4 = 12

x = 12

so,

x = 12

x - 3 = 12 - 3 = 9

2x - 9 = 2(12) - 9 = 15

we know,

area = 1/2 × base × height

so,

→ 1/2 × 12 × 9

→ 1 × 6 × 9

→ 54 inches.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Step-by-step explanation:

No, having only the y intercept gives us the c value in the quadratic equation.

The answer is :

Step-by-step explanation:

To write the equation of a parabola, you need the equation \(\bf{y=ax^2+bx+c}\). You need to know the values of a, b, and c in order to write the equation. So knowing only the y-intercept (0, 5) will not suffice. He knows where the parabola intersects the y-axis yet he isn't aware of the appearance of the parabola and how to draw it.

The domain are the independent variables for which an expression or equation exists. The domain of the graph in interval notation will be [-9,7]

The domain are the independent variables for which an expression or equation exists.

The given graph is described as a piecewise function since there are several lines that make up the graph.

The domain of the function are the value that lies along the x-axis of the line graph while the range are values of the function along the y-axis of the line graph.

The domain of the graph in interval notation will be [-9,7]. Note that both brackets are closed since the circles are shaded.

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Answer:

F. Obtuse isosceles

Step-by-step explanation:

Since we have an angle that is 100 degrees, we have an obtuse angle

We have two angles that are 40, which means we have two sides that are equal length, because two angles have the same measure.  That means it is isosceles

The triangle is an obtuse isosceles

The ordered pairs that represent points on the graph of y = 2x - 3 are (0,-3), (5,7), (-2,-7), (2,1), and (4,5).

An ordered pair is a pair of numbers written in a specific order (x,y) that represents a point in the coordinate plane.

A graph is a visual representation of data or a mathematical function that is plotted on a coordinate plane, usually with an x and y-axis. It is used to analyze trends and relationships between variables.

According to the given information:

To determine whether a given ordered pair represents a point on the graph of the equation y = 2x - 3, we need to substitute the values of x and y into the equation and see if the equation is true.

a) (3,-3):

y = 2x - 3

-3 = 2(3) - 3

-3 = 3

This is not true, so (3,-3) is not on the graph.

b) (0,-3):

y = 2x - 3

-3 = 2(0) - 3

-3 = -3

This is true, so (0,-3) is on the graph.

c) (5,7):

y = 2x - 3

7 = 2(5) - 3

7 = 7

This is true, so (5,7) is on the graph.

d) (-2,-7):

y = 2x - 3

-7 = 2(-2) - 3

-7 = -7

This is true, so (-2,-7) is on the graph.

e) (2,1):

y = 2x - 3

1 = 2(2) - 3

1 = 1

This is true, so (2,1) is on the graph.

f) (4,5):

y = 2x - 3

5 = 2(4) - 3

5 = 5

This is true, so (4,5) is on the graph.

Therefore, the ordered pairs that represent points on the graph of the equation y = 2x - 3 are: (0,-3), (5,7), (-2,-7), (2,1), and (4,5). Answer: b), c), d), e) and f).

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Answer:

y = 6

Step-by-step explanation:

(7y-8y)2+14=2

First, simplify the left side

7y - 8y = -y

2*-y = -2y

Now solve the equation

-2y + 14 = 2

Subtract 14 from both sides

-2y = -12

Take away the negative signs since both sides are negative

2y = 12

Divide both sides by 2

y = 6

(If the variable was x instead of y the variable would still equal 6)

Given the following variation

Introducing the constant of proportionality c as shown below

Q=4, when b=2, R= 8

Let use the above values of Q, b, and R to find the value of c as shown below:

Let us substitute c in the formula as shown below

Hence, the specific formula to describe the variation is

Q= 400/(b+R)²

Answer: y=-3/5x+3

Graph the points (0,3) and (5,0) and draw a line going through them

Answer:

Picture below

Step-by-step explanation:

If you need any more help with this kind of problem just ask or you can use Desmos.

Hope this helps!

Answer:

c. The period is 2π

Step-by-step explanation:

The period of a function is the smallest value of $p$ for which\( f(x+p) = f(x)\) for all x.

For the function f(x) = 2cos(x^2), we can see that f(x+2π) = f(x) for all x.

This is because the cosine function has a period of 2π. Therefore, the period of f(x) = 2cos(x^2) is \(\boxed{2\pi}\)

0.7745 is the probability that a randomly selected college student will take between 4.0 and 6.5 minutes to find a parking lot in the library lot.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Here, we have

Given

Mean, μ = 5.5 minutes

Standard Deviation, σ = 1 minute

We are given that the distribution of length of time is a bell-shaped distribution that is a normal distribution.

z(score) = (x -  μ)/σ

P(college student will take between 4.0 and 6.5 minutes)

= P(4.0 ≤ x ≤ 6.5)

=  P((4.0 - 5.5)/1 ≤ z ≤ (6.5 - 5.5)/1)

= P(-1.5 ≤ z ≤ 1)

= P(z ≤ 1) - P(z < - 1.5)

= 0.8413 - 0.0668

= 0.7745 = 77.45%

Hence, 0.7745 is the probability that a randomly selected college student will take between 4.0 and 6.5 minutes to find a parking lot in the library lot.

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Less than 0.1% of the time, the little error happens infrequently. The Sample space be P(x = m) < 0.001.

The set of all potential outcomes or results of an experiment or random trial is referred to as the sample space in probability theory. The potential ordered outcomes, or sample points, are listed as elements in a set that is used to represent a sample space.

The set of all potential outcomes for an experiment is referred to as the sample space S in a random experiment. The results of a random experiment, also known as sample points, are incompatible (i.e., they cannot occur simultaneously).

There are four possible states for the unit that we are evaluating.

i.e. a (acceptable supply), f(functional error), m(minor error) and c(Cosmetic error).

P(x = m) < 0.001

Sample space = {a, f, m, c} with

P(x = m) < 0.001

Therefore, the Sample space be P(x = m) < 0.001.

The complete question is:

In the final inspection of electronic power supplies, either units pass, or three types of nonconformities might occur: functional, minor, or cosmetic. Let a denote an acceptable power supply. Let f, m, and c denote a power supply that has a functional, minor, or cosmetic error, respectively. The minor error occurs only few times (less than 0.1% of the time). If we examine one unit, what is the sample space?

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We can see here that the measurements that can create more than one triangle is option A. The one that refers to the three angles measuring 75 degrees...

Triangles are known to be three-sided polygons having three vertices. It is one of the basic geometric forms. The name for a triangle with vertices A, B, and C is triangle ABC.

We must think about the triangle inequality theorem, which states that the total of the lengths of any two sides of a triangle must be greater than the length of the remaining side, to figure out which measurements can produce more than one triangle.

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The initial number of people sick with the flu at time 0 is 100 and the rate of increase of the number of people sick with the flu is 120t - 3t^2 people per day.

P(t) = 100 + 120t - 3t^2

This formula can be used to calculate the number of people sick with the flu at time t, where time is measured in days from the beginning of the epidemic. The initial number of people sick with the flu at time 0 is 100 and the rate of increase of the number of people sick with the flu is 120t - 3t^2 people per day.

To calculate P(t), the initial number of people sick with the flu, 100, is added to the rate of increase of the number of people sick with the flu over t days, which is 120t - 3t^2. The sum of these two values is the number of people sick with the flu at time t.

For example, at t=2 days, P(2) = 100 + 120(2) - 3(2^2) = 100 + 240 - 12 = 328 people sick with the flu.

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Answer:

  A. D: 0 ≤ b ≤ 10 R: 0 ≤ W(b) ≤ 120

Step-by-step explanation:

Since b represents the number of birdhouses, it is reasonable for that to have non-negative values. The maximum material availability means that b > 10 is not of practical use. This eliminates choices B and D.

Since W represents the amount of wood required for b birdhouses, it is reasonable for the range of it to match 12 times the domain: 12·0 = 0 to 12·10 = 120. This eliminates choice C.

The appropriate choice is ...

  A. D: 0 ≤ b ≤ 10 R: 0 ≤ W(b) ≤ 120

Answer:

Step-by-step explanation:

-5n + 1 = -24

-5n = -25

n = 5

-3(5)= -15

Step-by-step explanation:

-5n+1 = -24

-5n = -25

n = 5

-3n = 5*-3

-3n = -15

The relation that can not be supported by the evidence in the image is option B

Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.

Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.

Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.

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