Need help with Trigonometry will mark brainest!!

To estimate the conditional probabilities for Pr(A = 1|+), Pr(B = 1|+), and Pr(C = 1|+), we need to calculate the probabilities of each event occurring given that the class is positive (+).

Let's analyze the given data and calculate the conditional probabilities:

Out of the 8 instances provided, there are 4 instances where the class is positive (+). Let's denote these instances as +1, +2, +5, and +6.

For Pr(A = 1|+), we calculate the proportion of instances among the positive class where A = 1. Out of the four positive instances, +2 and +5 have A = 1. Therefore, Pr(A = 1|+) = 2/4 = 0.5.

For Pr(B = 1|+), we calculate the proportion of instances among the positive class where B = 1. Out of the four positive instances, +5 has B = 1. Therefore, Pr(B = 1|+) = 1/4 = 0.25.

For Pr(C = 1|+), we calculate the proportion of instances among the positive class where C = 1. Out of the four positive instances, +5 and +6 have C = 1. Therefore, Pr(C = 1|+) = 2/4 = 0.5.

To summarize:

- Pr(A = 1|+) = 0.5

- Pr(B = 1|+) = 0.25

- Pr(C = 1|+) = 0.5

It's important to note that these probabilities are estimated based on the given data. Depending on the context and the underlying distribution of the data, these probabilities might not be accurate representations in other scenarios.

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Answer: 32

Step-by-step explanation:

32 is the answer because of the number from division of one number by another two.

Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

Answer:

it took them 18 minutes to earn $500

Step-by-step explanation:

Step 1: Flip the equation.

−250x+5000=500

Step 2: Subtract 5000 from both sides.

−250x+5000−5000=500−5000

−250x=−4500

Step 3: Divide both sides by -250.

−250x

−250

=

−4500

−250

x=18

Answer: x=18

Step-by-step explanation:

Answer:

Domain: -2≤ x≤ 0

Range: -2≤ x≤ 2

The relation is a Function

Step-by-step explanation:

The Domain is all the x values.

All the x values are either equal to or greater than -2, and less than or equal to =-0

The Range is all the y values.

Apply the same logic as the domain.

A function is where no x values are the same, and since in this graph we see no vertical line, indicating the same x value, it means it is a function

Width be x and length be 2x+5

Now

Length=2(13)+5=26+5=31

Answer: I think it would be C.

Answer:

the answer is a

Step-by-step explanation:

Answer:

g=24

Step-by-step explanation:

g/4 -5 = 1

g/4 = 6

g = 24

Answer:

\(g=24\)

Step-by-step explanation:

When given the following equation,

\(\frac{g}{4}-5 = 1\)

Solve for the variable (g) using inverse operations,

\(\frac{g}{4}-5=1\)

Add (5) to both sides

\(\frac{g}{4}=6\)

Multiply both sides by (4)

\(g=24\)

Doug made sales worth A. $3,200 in the last week.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Doug is a salesperson in a retail store and earns $75 per week,

Plus 15% of his weekly sales.

Doug makes $555 one week,

∴ He made $(555 - 75) = $480.

So, $480 is 15% of his weekly sales, Assuming he made sales worth $x.

∴ 15% of x is $480.

(15/100)×x = 480.

0.15x = 480.

x = 480/0.15.

x = 3200.

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Answer:

a. 4

b. -2

c. 0,5

it js wants u to say what the number line represents

Step-by-step explanation:

Answer:

84√3

Step-by-step explanation:

6√21√28

6√7√3√7√4

(6√7√3√7)(2)

(6*7)(√3)(2)

(42)(√3)(2)

84√3

\(6\sqrt{21} \cdot \sqrt{28}\\\\=6 \left(\sqrt{21 \times 28 \right)\\\\=6\left(\sqrt{588}\right)\\\\=6\left(\sqrt{196 \times 3}\right)\\\\=6\left(14\sqrt 3\right)\\\\=84\sqrt{3}\)

Answer:

V(small) = 352 milliliters

the capacity of the smaller container is 352 milliliters

Step-by-step explanation:

Given that the two containers are similar, their dimensions follows the same ratio.

Ratio of their length;

Length(smaller) =30 cm

Length(larger) = 75 cm

Ratio = Length(smaller)/Length(larger) = 30cm/75cm

Length Ratio = 2/5

The ratio of their Volumes will be;

Ratio of volume = ratio of length raised to power three.

Rv = Rl^3

Rv = (2/5)^3

Rv = 8/125

The volume of the smaller container;

V(small) = Rv × V(large)

Volume of larger container V(large) = 5.5 litres

substituting the values;

V(small) = 8/125 × 5.5 litres

V(small) = 0.352 litres

V(small) = 352 milliliters

the capacity of the smaller container is 352 milliliters

you sum only the real numbers with the real numbers and the imaginary numbers with the imaginary numbers.

Her new chance of being pregnent given posite result is roughly 99%

What's probability?

Probability is a fine conception that measures the liability of an event being. It's expressed as a number between 0 and 1, where 0 indicates that the event is insolvable, and 1 indicates that the event is certain to do.

his problem can be answered using Bayes' Theorem. Let P( P) be the probability that your friend is pregnant, and let P(| P) be the probability that the test is positive given that your friend is pregnant. also, let P(-| ¬ P) be the probability that the test is negative given that your friend isn't pregnant.

From the problem statement, we have

P( P) = 0.5(50/50 chance of being pregnant before the test)

P(| P) = 0.91( the probability of a positive test given a pregnant woman)

P(-| ¬ P) = 0.99( the probability of a negative test given anon-pregnant woman)

We want to calculate P( P|), the probability that your friend is pregnant given a positive test. We can apply Bayes' Theorem to find this

P( P|) = P(| P) * P( P)/ P()

where P() is the probability of a positive test, which can be calculated using the law of total probability

P() = P(| P) * P( P) P(| ¬ P) * P( ¬ P)

where P( ¬ P) is the complement of P( P), i.e., the probability that your friend isn't pregnant

P( ¬ P) = 1- P( P) = 0.5

Substituting these values, we get

P() = 0.91 *0.50.01 *0.5 = 0.46

Now we can calculate P( P|)

P( P|) = P(| P) * P( P)/ P() = 0.91 *0.5/0.46 ≈0.99

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Without using a calculator, the trigonometric expressions simplify to:

1. sin^(-1)(sin(θ/6)) = θ/6

2. cos^(-1)(cos(5/4)) = 5/4

3. tan^(-1)(tan(5/6)) = 5/6.

To compute the trigonometric expressions without using a calculator, we can make use of the properties and relationships between trigonometric functions.

1. sin^(-1)(sin(θ/6)):

Since sin^(-1)(sin(x)) = x for -π/2 ≤ x ≤ π/2, we have sin^(-1)(sin(θ/6)) = θ/6.

2. cos^(-1)(cos(5/4)):

Similarly, cos^(-1)(cos(x)) = x for 0 ≤ x ≤ π. Therefore, cos^(-1)(cos(5/4)) = 5/4.

3. tan^(-1)(tan(5/6)):

tan^(-1)(tan(x)) = x for -π/2 < x < π/2. Thus, tan^(-1)(tan(5/6)) = 5/6.

Hence, without using a calculator, we find that:

sin^(-1)(sin(θ/6)) = θ/6,

cos^(-1)(cos(5/4)) = 5/4,

tan^(-1)(tan(5/6)) = 5/6.

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Answer:

7

Explanation:

The cardinality of a set is the number of elements in the set

Given the set W = {x | x is a day of the week}

The days of the week are {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

Hence the set W will be;

W = {Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday}

n(W) = 7 (since there are 7 days in a week)

Hence the cardinality of the set W is 7

Answer:

Solution to Problem 1:

Use the fact that the sum of all three angles of a triangle is equal to 180 o to write an equation in C.

A + B + C = 180 o

Solve for C.

C = 180 o - (A + B) = 43 o

Use sine law to write an equation in b.

a / sin(A) = b / sin(B)

Solve for b.

b = a sin (B) / sin(A) = (approximately) 5.4 cm

Use the sine law to write an equation in c.

a / sin(A) = c / sin(C)

Solve for c.

c = a sin (C) / sin(A) = (approximately) 7.1 cm

Problem 2

The angle of elevation to the top C of a building from two points A and B on level ground are 50 degrees and 60 degrees respectively. The distance between points A and B is 30 meters. Points A, B and C are in the same vertical plane. Find the height h of the building(round your answer to the nearest unit).

diagram problem 2

Solution to Problem 2:

We consider triangle ABC. Angle B internal to triangle ABC is equal to

B = 180 o - 60 o = 120 o

In the same triangle, angle C is given by.

C = 180 o - (50 o + 120 o) = 10 o

Use sine law to find d.

d / sin(50) = 30 / sin(10)

Solve for d.

d = 30 *sin(50) / sin(10)

We now consider the right triangle.

sin (60) = h / d

Solve for h.

h = d * sin(60)

Substitute d by the expression found above.

h = 30 *sin(50) * sin(60) / sin(10)

Use calculator to approximate h.

h = (approximately) 115 meters.

Problem 3

A triangle ABC has side a = 12 cm, side b = 19 cm and angle A = 80 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).

Solution to Problem 3:

Use sine law to write an equation in sin(B).

a / sin(A) = b / sin(B)

Solve for sin(B).

sin (B) = (b / a) sin(A) = (19/12) sin(80) = (approximately) 1.6

No real angle B satisfies the equation

sin (B) = 1.6

The given problem has no solution.

Problem 4

A triangle ABC has side a = 14 cm, side b = 19 cm and angle A = 32 o (angle A is opposite side a). Find side c and angles B and C if possible.(round answers to 1 decimal place).

Solution to Problem 4

Use sine law to write an equation in sin(B).

a / sin(A) = b / sin(B)

Solve for sin(B).

sin (B) = (b / a) sin(A) = (19/14) sin(32) = (approximately) 0.7192

Two angles satisfy the equation sin (B) = 0.7192 and the given problem has two solutions

B1 = 46.0 o and B2 = 134 o

Solution 1: Find angle C1 corresponding to B1

C1 = 180 - B1 - A = 102 o

Solution 1: Find side c1 corresponding to C1

c1 / sin(C1) = a / sin(A)

c1 = 14 sin(102) / sin(32) = (approximately) 25.8 cm

Solution 2: Find angle C2 corresponding to B2

C2 = 180 - B2 - A = 14 o

Solution 2: Find side c2 corresponding to C2

c2 / sin(C2) = a / sin(A)

c1 = 14 sin(14) / sin(32) = (approximately) 6.4 cm

Exercises

1. A triangle ABC has angle A = 104 o, angle C = 33 o and side c = 9 m. Solve the triangle ABC by finding angle B and sides a and b.(round answers to 1 decimal place).

2. Redo problem 2 with the distance between points A and B equal to 50 meters.

Solutions to Above Exercises

1. B = 43 o, a = 16.0 m , b = 11.3 m

2. 191 meters.

More References and Links to Sine and Cosine Laws

sine law

Sine Law Calculator and Solver.

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Cosine Law Calculator and Solver.

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Triangles

Triangle Problems

∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements from the given information

Two angles are given.

∠g = (2x-90)°

∠h = (180-2x)°

We have to find the statement which is true about the angles g and h.

If both angles are greater than zero.

Complementary angles add up to 90 degrees

i.e., ∠g and ∠h are complementary if ∠g + ∠h = 90°.

Substituting the given values:

∠g + ∠h

= (2x-90)° + (180-2x)° = 90°

Thus, ∠g and ∠h are complementary angles.

and both the angles are less than 90 degrees so we can tell that angles ∠g and ∠h  are acute.

So the statement ∠g and ∠h are acute angles is also true

Hence, ∠g and ∠h are complementary angles and ∠g and ∠h are acute angles are true statements

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Answer:

0.59, 3/5, 0.65

Step-by-step explanation:

3/5 = 0.60

Then you find out which is the smallest: 0.59

Middle: 0.60 (3/5)

Biggest: 0.65

DONE! hope this helped!

The missing number in the median set is 6.

We are given that;

Median set=18

Now,

To find the missing number, you need to know the number of elements in the set and their order. The median is the middle value of a set when it is arranged in ascending or descending order. If the set has an odd number of elements, the median is the exact middle value. If the set has an even number of elements, the median is the average of the middle two values.

For example, if the set is {2, 4, 6, 8, 10}, the median is 6 because it is the middle value. If the set is {3, 5, 7, 9}, the median is (5 + 7) / 2 = 6 because it is the average of the middle two values.

Therefore, by median the answer will be 6.

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Answer:

-1.5

Step-by-step explanation:

y=-1.5x-5

Answer:

y=90x−410

Step-by-step explanation:

in point-slope form, this would be...

y−130=90⋅(x−6)<-----

If you convert this to slope-intercept form this would be...

y=90x−410

Answer:

Bus 18 is more consistent than Bus 47 based on the IQR, which is smaller for Bus 18 (16) compared to Bus 47 (24), indicating less spread of data between the 25th and 75th percentiles.

Step-by-step explanation:

Answer: The correct option regarding which bus has the least spread among the travel times is given as follows:

Bus 14, with an IQR of 6.

How to obtain the measures of spread?

First, we consider the dot plot, which shows the number of times that each observation appears in the data set.

Then we consider the interquartile range, which gives the difference between the third quartile and the first quartile of the data set.

The interquartile range is a better measure of spread compared to the range of a data set, as it does not consider outliers.

For groups of 15 students, we have that:

The first half is composed of the first seven students, hence the first quartile is the fourth dot, which is the median of the first half.

The second half is composed of the last seven students, hence the first quartile is the eleventh dot, which is the median of the first half.

The quartiles for Bus 14 are given as follows:

Q1 = 12.

Q3 = 18.

Hence the IQR is of:

IQR = Q3 - Q1 = 18 - 12 = 6.

The quartiles for Bus 18 are given as follows:

Q1 = 9.

Q3 = 16.

Hence the IQR is of:

IQR = Q3 - Q1 = 16 - 9 = 7.

Step-by-step explanation:

Answer:

-1 1/5

Step-by-step explanation:

Change the whole number 4 to an improper fraction

-4 4/5 ÷ 4/1 = -4 4/5 ÷ 4/1

Reciprocal the 4/1 will become 1/4 then go to multiplication

-4 4/5 ÷ 4/1 = -4 4/5 × 1/4

Change to improper fraction the -4 4/5

-4 4/5 ÷ 4/1 = -24/5 × 1/4

Then simply multiply the two numerators and the two denominators

-4 4/5 ÷ 4/1 = -24/20

Finally, Simplify it to get the answer

-4 4/5 ÷ 4/1 = -1 1/5

Answer: No, it's not possible.

Explanation: An angle must only be opposite exactly one side.

Answer:

rational

Step-by-step explanation:

a rational number can be expressed in the form

\(\frac{a}{b}\) where a and b are integers

\(\frac{-20}{2}\) is in this form and is therefore rational

Answer:

rational

Step-by-step explanation:

Rational Numbers    :  

                                   It is expressed in the ratio, where both numerator and                             denominator are the whole numbers

Answer:

only transformed to the right by 2 units, rest is by 0 (no transformation

Step-by-step explanation:

parent graph is 1/(x^2)

sin(x) is a mathematical function that calculates the sine of angle x, where x is in radians.

In mathematics, angles are measured in radians or degrees. The symbol π represents the mathematical constant pi, which is approximately equal to 3.14159.

When we say π/2, it means half of the circumference of a circle, which corresponds to 90 degrees.

The inequality "π/2 < 0" suggests that π/2 is less than zero, implying that the angle of 90 degrees is negative. However, this is incorrect.

In the standard coordinate system, angles are measured counterclockwise from the positive x-axis.

Thus, π/2 or 90 degrees lies in the positive direction. The correct relationship should be "π/2 > 0" to indicate that the angle is greater than zero.

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10-3=N

N=7

Step-by-step explanation:

hope you like it

Answer:

option C

Step-by-step explanation:

2, 4, 6

i don't know whether it is correct or not...