60 points if you help me answer this

Given that James saw exactly one of these types of animal, the probability that he saw a crocodile is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The probability of seeing exactly one type of animal is given as follows:

2/5 x 1/6 + 3/5 x 2/9 = 1/15 + 6/45 = 3/45 + 6/45 = 9/45.

The probability of seeing exactly one type of animal and being a crocodile is given as follows:

2/5 x 1/6 = 1/15 = 3/45.

Hence the conditional probability is given as follow:

(3/45)/(9/45) = 3/9 = 1/3.

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Answer:

C) Shifted 6 units up

Graphed:

Answer:

9/10 or 0.9

Step-by-step explanation:

Slope of a line passing through two points (x1, y1) and (x2, y2) is given by
Slope m = rise/run

where
rise = y2 - y1
run = x2 - x1

Given points (- 6, - 5) and (4, 4),

rise = 4 - (-5) = 4 + 5 = 9

run = 4 - ( - 6) = 4 + 6 = 10

Slope = rise/run = 9/10 or 0.9

No, the ratios 10:12 and 1:21 are not form a proportion.

A relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The ratios are,

⇒ 10 : 12 and 1 : 21

We know that;

Two ratio are form a proportional when both are in same quantity or in a a same ratio.

Here, The ratios are,

⇒ 10 : 12 and 1 : 21

Clearly, We get;

10 / 12 = 5 / 6

1 / 21 = 1  21

Thus,

1 / 21 ≠ 5 /6

1 : 21 ≠ 10 : 12

Therefore, The ratios 10:12 and 1:21 are not form a proportion.

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Answer:

12.02ft

Step-by-step explanation:

the diagram is explanatory

I hope it helps

Answer:

The angle of elevation is 25.8°

Step-by-step explanation:

hypotenuse = 40; adjacent = 36 . The angle of elevation is between the 40 and 36 or the elevation from the street.

Cos x = 36/40                cos x = adjacent ÷hypotenuse

\(cos^1(x) = \frac{36}{40}\)

\(cos^1(x) = .9\)   Use the calculator: TI ( 2ndcos(.9)  enter

\(x = 25.84\)

x ≈ 25.8°

Answer:

16x / 15

Step-by-step explanation:

2/5x + 2x/3

6x - 10x /15

16x / 15

Answer:

x = 32

Step-by-step explanation:

So we are given the measures of two of the three interior angles. 98° and 50°. We are also given that the value of the third interior angle is equal to x°. Remember, the sum of the interior angles of a triangle is 180°. Knowing this, we can make the equation:

x + 98 + 50 = 180

Now we solve for x. Subtract 50 from both sides.

x + 98 = 130

Subtract 98 from both sides.

x = 32

So the value of x is 32.

I hope you find my answer and explanation to be helpful. Happy studying.

Yes, the probability assignments given to the four outcomes of an experiment are valid. Probabilities are calculated subjectively, and the decision maker assigned probabilities to the four outcomes of the experiment, which is perfectly acceptable.

Probability is a numerical measure of the likelihood of an event occurring, ranging from 0 to 1.

An event that is certain to happen has a probability of 1, while an event that is impossible has a probability of 0. The probability of any other event lies somewhere between 0 and 1.

Probability assignments, which are subjectively determined probabilities, are valid as long as they meet the following criteria:

In this case, the probability assignments are valid because they meet both of the above criteria. The probabilities assigned are between 0 and 1, and when the probabilities are added together, the sum is 1.

Therefore, the given probability assignments are valid.

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The underlying function f(x - i) that generates the observed points f'(x - i) in the plot can be determined by integrating the observed points. By integrating f'(x - i), we can obtain f(x - i) up to a constant of integration.

The constant of integration can be determined by incorporating additional information or constraints related to the problem or by considering the behavior of the function at a specific point.

To find the underlying function f(x - i) that generates the observed points f'(x - i), we need to integrate the observed points.

Integration is the reverse process of differentiation, so by integrating f'(x - i), we can recover f(x - i) up to a constant of integration.

The constant of integration arises because integration does not provide a unique solution.

The constant represents an arbitrary additive term that can vary depending on the specific problem or additional constraints.

To determine the constant of integration, we may need additional information or consider specific conditions related to the problem.

It is also important to note that the accuracy of estimating the underlying function f(x - i) depends on the quality and quantity of the observed data points f'(x - i). More data points and precise measurements can lead to a better estimation of the underlying function.

Additionally, the behavior of the function at a specific point can provide valuable insights for determining the constant of integration and refining the estimation of the underlying function.

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Simple random sampling is generally considered the most reliable and unbiased method of random sampling.

What is sampling?

Sampling is the process of selecting a subset of individuals or items from a larger population to estimate or infer characteristics of the whole population.

The most reasonable method of random sampling to avoid bias in the sample is simple random sampling.

This method ensures that every member of the population has an equal chance of being selected for the sample, thereby minimizing the potential for bias.

Other methods of random sampling, such as stratified random sampling or cluster sampling, may be useful in certain situations, but may also introduce some degree of bias.

Simple random sampling is generally considered the most reliable and unbiased method of random sampling.

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The simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

The expression is given as:

(5.1)(5.12)4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4

Rewrite the expression properly as follows:

(5.1)(5.1^2)^4 = (5.1) * (5.1^2)^4

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1) * (5.1^8)

Apply the power law of indices

(5.1)(5.1^2)^4 = (5.1)^(1 + 8)

Evaluate the sum

(5.1)(5.1^2)^4 = (5.1)^9

Hence, the simplified expression of (5.1)(5.1^2)^4 is (5.1)^9

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Answer:

C. ED

Step-by-step explanation:

The center of the angle is the point E, so it would be written first.

The value of k is -3.

What is a tangent line?

The straight line that "just touches" the curve at a given location is referred to as the tangent line to a plane curve in geometry. It was described by Leibniz as the path connecting two points on a curve that are endlessly close to one another.

Here, we have

Given

x + y = k

y = x² + 3x

slope of tangent line = dy/dx = 2x+3

k is y-intercept of the tangent line

2x+3 = -1

x = -2

y = (-2)^2+3(-2)+1 = -1

The tangent line passes through the point (-2,-1)

k = x+y

k = -2 -1

k = -3

Hence, the value of k is -3.

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Answer: 12

Step-by-step explanation:

Let's say that the length needed to be found is x
As the two lengths of both triangles are parallel to one another, we can use the equation to find x
6/x = (6+4)/20

6/x = 1/2

x = 12

Answer:

CA = 22.6 ft

Step-by-step explanation:

For the known angle A, leg CA is the adjacent leg.

Side AB is the hypotenuse.

The trigonometric ratio that relates the adjacent leg tot eh hypotenuse is the cosine.

cos A = adj/hyp

cos 41° = CA/(30 ft)

CA = 30 ft * cos 41°

CA = 22.6 ft

Variable y in equilateral 60°, Thus correct option is C) 60°.

An equilateral triangle is one with equal-sized sides on all three sides and angles that can all reach a maximum of 60 degrees. An equilateral triangle is a triangle with three equal sides, also referred to as a "regular" triangle. Since all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle. Three equal angles of 60 degrees also make up an equilateral triangle.

The sum of all the angles in a triangle is 180.

It is given that the triangle ABC is an equilateral triangle.

So ∠A+∠B+∠C =180°

∠A=B=∠C

3∠A=180°

∠A=60°

Therefore y in ΔABC is C) 60°

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Answer: 560

Step-by-step explanation:

240 / 3 = 80 x 7 = 560

Step-by-step explanation:

The lateral surface area of a cone is A = π r L, where L = √(r² + h²) is the slant height.

The lateral surface area of a cylinder is A = 2 π r H.

The area of the cylinder's base is A = π r².

The total area is therefore:

A = π r L + 2 π r H + π r²

A = π r² + (π L + 2 π H) r

The total cost of painting the surface is Rs. 1531.20 at a rate of Rs. 140 per 100 cm². Therefore the total surface area is:

A = Rs. 1531.20 / (Rs. 140 / 100 cm²)

A = 1093.71 cm²

Plug in and solve for r:

1093.71 = π r² + (10π + 42π) r

348.14 = r² + 52r

r² + 52r − 348.14 = 0

r = [ -52 ± √(52² − 4(1)(-348.14)) ] / 2

r = [ -52 ± √(52² − 4(1)(-348.14)) ] / 2

r = (-52 ± 64) / 2

r = -58 or 6

Since r > 0, r = 6.

Solve for h:

L² = r² + h²

10² = 6² + h²

h = 8 cm

Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

The principal sum refers to the amount payable in one sum in the case of accidental death and, in some cases, accidental dismemberment.

The amount paid in the case of accident or medical insurance in the event that the insured person dies, loses a limb, or loses sight is known to be as principal sum. It means that the principal sum amount is the maximum amount paid to the insured person for all injuries resulting from the accident.

Thus, the principal sum is the amount insured to be paid by the company to the beneficiary in the case of the insured individual's accidental death as well as in the loss of limb or sight.

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When x0 x 0, log x is NOT defined (undefined). As a result, when x is in [(−∞,0]), log x is undefined.

1)  We are aware that only when x is positive is a logarithmic function, log x, defined. i.e., x>0 . Therefore, when x0 x 0, log x is NOT defined (undefined). As a result, when x is in [(−∞,0]), log x is undefined.

2) Order from smallest to largest:

     \(log^{200}_{20} < log 100 < log^{5}_{40} < log^{3}_{60} < log^{2}_{16}\)

3)

           \(\(2A=A(1+\frac{0.09}{52})^{n}\\\\ 2=(1+\frac{0.09}{52})^{n}\\\\ log2=log(1+\frac{0.09}{52})^{n}\\\\ log2=nlog(1+\frac{0.09}{52})\\\\ n=log2\div log(1+\frac{0.09}{52})\\\)\)

log(2)/log(1+0.09/52 = 400.831511360387616 weeks

400.831511360387616/52 = 7.708298295392069538

7.7 years

Hence, It take 7.7 years for deposit to double.

4)

a)

          \(S= 86 \ log d+112\\\\S= 86 log 50 +112\\\\S = 86*1.7+112\\\\S= 258.2\)

          S = 258.2 mph

b)

S = 258.2 mph ;  find d

258 =86 log10 (d) + 112

146 = 86 log10 (d)

 1.7 = log10 (d)

 d = 50.118

Change from Log Form to Exponential Form

50.118 miles = d   Rounded is 181 miles

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Answer:

False

Step-by-step explanation:

The coefficients (numbers in front) don't matter, but the exponents do.

Like terms have exactly the same exponents on the same variables.

\(54x^2y^3\text{ and }-12x^3y^2\) are not like terms.

Example: \(6x^3y^2\text{ and }-14x^3y^2\) are like terms--same exponents on the x's, same exponents on the y's.

Answer:

False

Step-by-step explanation:

two like therms have the same literal part. This is not the case because

x^3 is different from x^2 (for example if x = 2 ; 8 is not 4)

y^3 is different from y^2

Since P(A) and P(B) are positive probabilities, it means that events A and B can occur independently. Events A and B are not disjoint.

To determine if events A and B are disjoint, we need to examine whether they can both occur or have any common outcomes.

If events A and B are disjoint, then the probability of their intersection, denoted as P(A ∩ B), should be equal to zero.

In this case, we are given that P(A) = 0.3 and P(B) = 0.25.

Since P(A) and P(B) are positive probabilities, it means that events A and B can occur independently.

Therefore, events A and B are not disjoint.

The correct answer is B) No.

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The complete question is:<The probability of event A is P(A)=0.3, and the probability of event B is P(B)=0.25. Are A and B disjoint? A Yes. B No. C It is impossible to determine from the information given.>

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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The value of x is 120° .

Given,

In triangle HGF,

HF and FG and are equal in length and ∠G is 60° .

Now,

If the sides are equal there angles will be equal.

So,

FG and FH are equal thus angle ∠H will be equal to 60° .

Sum of all the interior angles of triangle is 180° . Thus ∠F will be equal to 60° .

Now,

∠H and x° will form linear pair.

∠H + x°  = 180°

x = 120° .

Hence all the angles of the triangle are obtained.

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Answer:

5

Step-by-step explanation:

The equation when solved for x gives x = √3 - 5y

It is important to note that the subject of formula in an equation is the variable that is being worked out.

This variable is made to stand alone on one end of the equality sign.

From the information given, we have the equation;

y = 3√(x²+3)÷15

cross multiply the values

15y = 3√(x²+3)

Divide both sides by the coefficient of √(x²+3)

15y/3 = √(x²+3)

Divide the values

5y = √(x²+3)

Find the square of both sides

25y² = x² + 3

collect terms

x² = 3 - 25y²

Find the square root

x = √3 - 5y

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Answer:

11x - 2 = 6x + 13 (corresponding angles)

5x = 15

x = 3

Answer:

answer is x=5, not x=6

Step-by-step explanation:

I don't really understand how this is structured, but the correct way of solving this is

2(3x − 4) = 8 + 2x + 4

do distributive property.

6x - 8 =  8 + 2x + 4

subtract 2x on both sides.

you get...

4x - 8 = 12

add 8 on both sides.

4x =20

divide by 4

x = 5