Luisa solves for x in the equation 9(1/3) + 8x = 4( 2x + 3/4)

The probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

What is probability?

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1, with 0 indicating an impossible event and 1 indicating a certain event.

a.

i. P(male) = number of males in the sample / total number in the sample = 154 / 306 ≈ 0.503

ii. P(hybrid) = number of hybrid cars purchased / total number in the sample = 99 / 306 ≈ 0.324

iii. P(hybrid|male) = number of males who purchased a hybrid / total number of males in the sample = 32 / 154 ≈ 0.208

iv. P(hybrid|female) = number of females who purchased a hybrid / total number of females in the sample = 67 / 152 ≈ 0.441

v. P(female|hybrid) = number of females who purchased a hybrid / total number of people who purchased a hybrid = 67 / 99 ≈ 0.677

b.

i. P(male) represents the probability of randomly selecting a male from the sample of 306 people who purchased a Honda Civic.

ii. P(hybrid) represents the probability of randomly selecting a car from the sample that has a hybrid engine.

iii. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male.

iv. P(hybrid|female) represents the probability of selecting a hybrid car given that the person selected is female.

v. P(female|hybrid) represents the probability of selecting a female given that the car selected has a hybrid engine.

c. No, P(hybrid|male) and P(male|hybrid) are not equal. P(hybrid|male) represents the probability of selecting a hybrid car given that the person selected is male, while P(male|hybrid) represents the probability of selecting a male given that the car selected has a hybrid engine. These probabilities are different because the sample is not necessarily representative of the entire population.

Hence, the probabilities are

i. P(male) ≈ 0.503

ii. P(hybrid) ≈ 0.324

iii. P(hybrid|male) ≈ 0.208

iv. P(hybrid|female) ≈ 0.441

v. P(female|hybrid) ≈ 0.677

P(hybrid|male) and P(male|hybrid) are not equal because the sample may not be representative of the entire population.

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Step-by-step explanation:

12/14= 85.7143% 19/24= 79.1667%

Answer:

Oh, we are supposed to find the general equation of the slope. The idea behind the slope is to measure the tilt of the line that passes through both points. That's a general idea...

Now, if we want to measure a tilt, we should expect a quotient (or a fraction). Precisely, the slope is

It is saying us how is changing the second component (where belong d and b) in respect of the first component (where belong c and a)

Answer:

Step-by-step explanation:

-3

perpendicular slope is the negative of the reciprocal

the reciprocal of 1/3 is 3

the opposite of 3 = -3

Given that Line a is parallel to Line b (Line a ║ Line b), the triangle that is similar to ΔJKH is 1. ΔMKN

Similar triangles are triangles that have congruent corresponding angles, and in which all three corresponding sides are proportional.

The given parameter is Line a is parallel to Line b, which gives: a║b

Two triangles are similar if they satisfy the following conditions:

According to alternate angles theorem, the angles ∠JHK in ΔJKH is congruent to the ∠KNM in triangle ΔMKN

Similarly, the angle ∠HJK in ΔJKH is congruent to the ∠KMN in ΔMKN

Therefore, ΔJKH is similar to ΔMKN by Angle-Angle, AA similarity postulate.

The correct option for the triangle similar to ΔJKH is option 1. ΔMKN

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Answer:

the final answer of 4 should be 24 7/12.

Step-by-step explanation:

Let \(f^{-1}(x)\) be the inverse of

\(f(x) = 3 \log_3 (x + 3) + 1\)

Then by definition of inverse function,

\(f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x\)

Solve for the inverse :

\(3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x\)

\(3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1\)

\(\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3\)

\(3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}\)

\(f^{-1}(x) + 3 = 3^{\frac{x-1}3}\)

\(f^{-1}(x) = 3^{\frac{x-1}3} - 3\)

The hypotenuse of the triangle can be determined as,

The cos A can be determined as,

The value of tanB can be determined as,

Thus, option (D) is correct.

Answer:

Step-by-step explanation

1.  

a = (e c d)/3

(c d)/3 - a/e = 0

These are some alternative forms for those i belive.

2.

b = (e c)/d

These are some alternative forms for those i belive.

Im not sure i can figure out the ration

Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation:

Answer:

f(6)=-42

f(0)=0

f(-1)=7

Step-by-step explanation:

since f(x) =-7x

it implies that f(6),f(0) and f(-1) are all equal to f(x)

which is equal to -7x .

so wherever you find x you out it in the

function

Answer:

D)35

Step-by-step explanation:

14%4=3.5

3.5×10=35

Answer:

7-15= -8

Step-by-step explanation:

Answer:

38

38 38 38 38 38 38 38 38okay so all you're going to do 4 * 3 + 4 * 4 what is going to give you 12 +16

Answer:

Step-by-step explanation:

AB=√[(4+2)²+(6-11)²]=√61

BC=√[(-1-4)²+(0-6)²]=√61

AC=√[(-1+2)²+(0-11)²]=√122

AC²=AB²+BC²

So it is a right angled triangle.

The area of the triangle is (8/5)sqrt(1199) square units.

We are given that;

Coordinates= A=(-2,11) B = (4.6) C=(-1,0)

Now,

we can plug in one point on line AB, such as A(-2, 11), and solve for b:

y = mx + b 11 = (-5/6)(-2) + b 11 = (5/3) + b b = 11 - (5/3) b = (28/3)

Hence, the equation of line AB is:

y = (-5/6)x + (28/3)

Now we can set y equal to 0 (the y-coordinate of C) and solve for x:

y = (-5/6)x + (28/3)

0 = (-5/6)x + (28/3) (-5/6)

x = -(28/3)

x = -(28/3)/(-5/6)

x = (56/15)

Therefore, point D has coordinates (56/15, 0). To find the height of the triangle, we need to find the distance between points A and D using the distance formula:

\(h = AD = sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2) h = sqrt((56/15 - (-2))^2 + (0 - 11)^2) h = sqrt((136/15)^2 + 121) h = sqrt(18496/225 + 121) h = sqrt(45121/225) h = (3/15)sqrt(5024)\)

Now we can plug in the values of b and h into the area formula and simplify:

\(A = (1/2)bh A = (1/2)(sqrt(61))((3/15)sqrt(5024)) A = (1/10)sqrt(61)sqrt(5024) A = (1/10)sqrt(307584) A = (1/10)(16)sqrt(1199) A = (8/5)sqrt(1199)\)

Therefore, by the given triangle answer will be (8/5)sqrt(1199) square units.

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Answer: 4000

Step-by-step explanation:

The height is 8.4.

Calculated with H = V / πr^2, with H for height, V for volume, and r for radius (the diameter divided by 2).

Answer:

7

Step-by-step explanation:

(n-2)180=900/180

n-2=5

n=5+2=7

n=7

The number of people in the set C ∩ D (customers who purchased both cats and dogs) is obtained by adding the overlap of D and C (3) with the overlap of all 3 circles (1), resulting in a total of 4 individuals.

The correct answer is 4.

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to analyze the overlapping regions in the Venn diagram.

Given information:

- Circle C (cats): 15

- Circle D (dogs): 21

- Circle F (fish): 12

- Overlap of C and F: 2

- Overlap of F and D: 0

- Overlap of D and C: 3

- Overlap of all 3 circles: 1

- Number outside of circles: 14

To determine the number of people in the set C ∩ D (customers who have purchased both cats and dogs), we need to consider the overlapping region between circles C and D.

From the information given, we know that the overlap of D and C is 3. Additionally, we have the overlap of all 3 circles, which is 1. The overlap of all 3 circles includes the region where customers have purchased cats, dogs, and fish.

To calculate the number of people in the set C ∩ D, we add the overlap of D and C (3) to the overlap of all 3 circles (1). This gives us 3 + 1 = 4.

Therefore, from the options given correct one is 4.

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Answer: 4

Step-by-step explanation:

trust me bro

Answer:

x = 30, y = 15

Step-by-step explanation:

x = 2*15 = 30

(Central angle is twice the inscribed angle standing on the same arc.)

Similarly,

y = 15

(Base angles of isosceles triangle are equal)

Answer:

The formula for density (ρ) is:

Density (ρ) = Mass (m) / Volume (V)

Step-by-step explanation:

Where:

Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Answer:

A = 228 tickets

Step-by-step explanation:

We need to set up a system of equation to find the number of adult tickets sold, where A represents the adult tickets and S represents the student tickets.

Because the number of adult and student tickets together equals 506, we have A + S = 506.

Because there are 56 more student tickets than adult tickets we have A + 56 = S

And the way the system is already set up allows us to use substitution.

Thus, we have:

\(A + S=506\\A+56 = S\\\\A+A+56 =506\\2A+56=506\\2A=456\\\\A=228\\228+56=S\\278=S\)

The number of student tickets was not necessary to find in this problem, but I found anyway just in case you wanted check the work or wanted to prove the validity of the values.

Answer

Q. 37)      E. 50

Q. 38)     A.   28

Step-by-step explanation:

For   37)    the answer is   E  .  50  

While in 38)  the values of the angles are wrong .    

Angle  QPR must be  36   and angle  RSQ  must be  64  .  The answer is  A.  28

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

From the question, we have the following parameters that can be used in our computation:

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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Answer:

this shape is a pentagon. this is a regular shape because all the sides are even and all the angles on the inside are also even.

Step-by-step explanation:

pls mark brainliest!

Answer:

225 is the answer

15 times 15

Step-by-step explanation: