both nadia and samantha are applying to insure their car against theft. nadia lives in a secure neighborhood, where the probability of theft is 10%. samantha lives in a lesser secure neighborhood where the probability of theft is 25%. both nadia and samantha own cars worth $10,000, and are willing to pay $100 over expected loss for insurance. ​if the insurance company can correctly anticipate the adverse selection,

The value of the trigonometry identity is tan(2x) = 4/7[√2]

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

cos(x) = 2√5/5 and 3π/2 < x < 2π

Start by calculating the sine function sin(x) using

sin(x) = √[1 - cos²(x)]

So, we have

sin(x) = √[1 - (2√5/5)²]

This gives

sin(x) = 1/10[√10]

The tangent is then calculated as

tan(2x) = (2sin(x)cos(x))/(cos²(x) - sin²(x))

This gives

tan(2x) = (2 * 1/10[√10] * (2√5/5))/(((2√5/5))² - (1/10[√10])²)

Evaluate

tan(2x) = 4/7[√2]

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Answer:

Step-by-step explanation:

- 15, -3, -1, 0 , 1, 5

Answer:

-15,-3,-1,0,1,5

Step-by-step explanation:

i believe it's a parallelagram.

Answer:

-20.2m - 11.8

Step-by-step explanation:

Step-by-step explanation:

casa. Completa las oraciones con el pronombre de objeto directo correcto, según el contexto.

1. Tu ropa está sucia. ¿Por qué no ____ lavas?

2. Ellos tienen muchos libros. ____ tienen en la estantería del despacho.

3. La casa de mi mamá tiene muchas ventanas, pero no ______ abre todos los días.

4. Profesora, Ud. debe usar la cochera. ¿ ______ve allí?

5. ¿Quieres ir al cine con nosotros? _____ llamamos antes de salir.

Answer:

To find the interquartile range (IQR), ​first find the median (middle value) of the lower and upper half of the data. These values are quartile 1 (Q1) and quartile 3 (Q3). The IQR is the difference between Q3 and Q1.

Step-by-step explanation:

The answer is A) (-2,-8)

The scale factor is multiplied by the original length.

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

A scale factor value can used to determine the size of a scale figure by using the value of the scale factor to multiply the original size.

In this case, a scale factor of 4 can be used to determine the lengths of the scale figure using 4 to multiply the original length.

Therefore, the scale factor is multiplied by the original length.

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Answer: 1/3

Step-by-step explanation:

Vector data model utilizes points, lines and polygons to represent the real-world features.

Therefore, the answer is 'True'.

Geographic data can be represented by two types of models - the raster data model and the vector data model.

The vector data model is predicated on the notion that discrete objects, such as trees, rivers, lakes, etc., make up the surface of the world. Clearly defined point, line, and polygon features are used to depict objects. X, Y coordinate pairs that refer to a location in the physical world are used to define feature borders.

A single x, y coordinate pair serves to define a point. Two or more sets of x, y coordinates are used to define lines. Lines that intersect to form polygon boundaries define polygons. Every feature in the vector data format has a special number identification that is kept in an attribute table along with the feature record.

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Answer:

brainliest*

Step-by-step explanation:

c

Answer:

14

Step-by-step explanation:

If you divide -28 and -2, you get 14 which is the constant of proportionality. You can try to multiply -4 and 14 to check which you get -56. The graph shows that and it's the correct answer!

Step-by-step explanation:

cos70°=6/x

x=6/cos70°

x=17,54

x=y

tan70°=h/6

h=tan70°×6

h=16,48

Answer:

Check below:

Step-by-step explanation:

To factorize the algebraic expression 3x² + 6x + 4x + 8, you can follow these three steps:

Step 1: Grouping

Group the terms in pairs so that you can factor out a common factor from each pair.

3x² + 6x + 4x + 8

(3x² + 6x) + (4x + 8)

Step 2: Factoring out the common factors

Factor out the common factors from each pair separately.

3x(x + 2) + 4(x + 2)

Step 3: Factoring out the common factor from the resulting expression

Notice that we have a common factor, (x + 2), in both terms.

(x + 2)(3x + 4)

Therefore, the factored form of the expression 3x² + 6x + 4x + 8 is (x + 2)(3x + 4).

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Answer:

0.525 is the number.

X = Y/P%

X = 0.84/160%

p = 160%/100 = 1.6

X = 0.84/1.6

X = 0.525

The solution is :

The sum of money deposited is approximately $22,021.74

Here, we have,

The given interest and amounts of the deposit are outlined as follows;

The simple interest per annum, R = 0.325%

The number of years the money is deposited, T = 4 years

The total amount received (Interest + Initial deposit), A = $50,650

We have;

I = P × R × T

Where;

P = The principal (initial amount deposited)

R = The (annual) interest rate = 0.325%

T = The time = 4 years

Therefore;

The total amount received, A = P + I

P + I = P + P × R × T = P × (1 + R × T)

∴ A = P + I = P × (1 + R × T)

P = A/(1 + R × T)

Plugging in the values, gives;

P = 50,650/(1 + 0.325 × 4) = 506,500/23 ≈ 22,021.74

The sum of money deposited, P = $22,021.74

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complete question:

A sum of money is deposited in a bank which offers a simple interest rate of 0.325% per annum. At

the end of the 4 years, the total amount receives is $50 650. Find the sum of money deposited.

The proof that of the above expression on the condition of a/b = c/d = e/f is given below.

Given: a/b = c/d = e/f

Let e/b = e/c = k

Then, a/b = k and c/d = k, so a = kb and c = kd

Now we have:

√((a⁴ +  c⁴)/  (b⁴ + d⁴))   = √(((k b) ⁴ + ( kd )⁴ )/(b ⁴ + d ⁴)  )

= √ (k ⁴ *  (b⁴ + d⁴ ) / (b⁴ + d⁴))

= k²

Let p = 1 and q = k², then:

(p  a² + q * c²)/(p * b² + q * d²) = (a² + k² * c²)/(b² + k⁴ * d²)

= (k² *   b² + k² *    d ²)/(b ² +   k ⁴ * d ²)

= k ²

Therefore, we have shown that √ ((a ⁴ + c ⁴)/(b ⁴ + d ⁴))   = (p x a ² + q * c ²) / (p * b ² + q * d² )

if a/b =  c/ d =  e/f.

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Answer:

50

Step-by-step explanation:

Answer:

  b)  2.45

Step-by-step explanation:

The Euclidean distance in 3-space is the root of the sum of the squares of the x-, y-, and z-differences between the points.

For the given points ...

  \(x(3,2,5)=(x_1,y_1,z_1)\quad\textsf{and}\quad y(2,3,3)=(x_2,y_2,z_2)\)

The distance between x and y is ...

  \(d=\sqrt{(x_2-x_1)^2+(y_2=y_1)^2+(z_2-z_1)^2}\\\\d=\sqrt{(2-3)^2+(3-2)^2+(3-5)^2}=\sqrt{1+1+4}\\\\d=\sqrt{6}\approx2.45\)

This is because of the rule that if we have rational coefficients, then one root of \(a+\sqrt{b}\) must have a conjugate pair of \(a-\sqrt{b}\). Multiplying the conjugates will have the square roots cancel out.

For more information, check out the difference of squares rule.

right:wrong is 10:2 which can be reduced by 2 on both sides so you get 5:1

hope it helps comment if you have any questions and have an amazing day

Answer:

If you don't agree or there's an error, let me know so I can edit.

Step-by-step explanation:

f(x) = x⁴ + 2

differentiate

f(x) = 4x³ + 0 =0

x(4x²) = 0

at x= 0 f(x) = 0 points = (0,0)

at x= 1. f(x) = 3 points = (4,3)......

The ordered pair is (4,3).

An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Given:

f(x) = x⁴ + 2

Now, differentiate the above function for the small values

f(x) = 4x³ + 0 =0

x(4x²) = 0

When x= 0

f(x) = 0

So, the points = (0,0)

when x= 1

f(x) = 3

so, the points = (4,3).

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It will take 33.33 years for the account to reach $5500

What is simple interest?

Simple interest is defined as the direct crediting of cash flows related to an investment or deposit.

We know,

Victoria deposited  into a savings account $5000

Annual simple interest rate of 0.3%.

Formula of Simple Interest

                        A = P(1 + rt)

                       5500 = 5000(1 + 0.003t)

                       5500 = 5000 + 15t

                        15t = 500

                         \(t = \frac{500}{15} = 33.33\)

It will take 33.33 years for the account to reach $5500

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for z-scores -2, -1, 0, 1, 2, and 3, the real values of the scores correspond to 30, 40, 50, 60, 70, and 80 respectively.

The formula for finding the real value of a score from a normal distribution can be expressed as:

Real Value = (z-score x Standard Deviation) + Mean

For example, for z=-3, the real value is:

Real Value = (-3 x 10) + 50 = 20

The scores of a normal distribution can be found when given the mean, standard deviation, and the z-score. The formula to find the real value of the score is (z-score x standard deviation) + mean. For example, if the mean is 50, the standard deviation is 10, and the z-score is -3, then the real value of the score is 20. Similarly, for z-scores -2, -1, 0, 1, 2, and 3, the real values of the scores correspond to 30, 40, 50, 60, 70, and 80 respectively.

The complete question is:

A normal distribution of scores has a standard deviation of 10 and mean of 50 and z=-3. Find the real scores corresponding to each of the following values: -3, -2, -1, 0, 1, 2, 3.

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When the point (-1/2, y) lies on the line with the equation 2x - 3y = 6, the value of y is -7/3.

To find the value of y when the point (-1/2, y) lies on the line with the equation 2x - 3y = 6, we can substitute the x-coordinate of the point into the equation and solve for y.

Let's substitute x = -1/2 into the equation:

2(-1/2) - 3y = 6

Simplifying:

-1 - 3y = 6

Next, we can isolate the term with y:

-3y = 6 + 1

-3y = 7

Finally, we can solve for y by dividing both sides by -3:

y = 7 / -3

This simplifies to:

y = -7/3

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Answer:

all are in the simplest form.

Answer:

All triangles need to have 180 degrees

subtract the angles you already know

180 - 102 - 46 = 180 - 148 = 32

There is  32 degrees left so 32 is the answer

Step-by-step explanation:

Answer:

32°

Step-by-step explanation:

The triangle sum theorem states that the measures of the angles of a triangle is 180°

Answer:

You have succeeded to fail XD