What is 90x25?? Subject: mathematics

The required probability for randomly selected students spend between $300 and $400 on clothing in a year is equal to 0.6730 or 67.30% (approximately ).

For a normal distribution with a mean (μ) of $340

And a standard deviation (σ) of $50.

Let X be the amount of money spent on clothing by a randomly chosen student.

Probability that a randomly chosen student will spend between $300 and $400 on clothing in a year,

P(300 < X < 400)

Standardize the distribution by converting the given values to z-scores, using the formula,

z = (X - μ) / σ

For the lower limit, we have,

z1 = (300 - 340) / 50 = -0.8

For the upper limit, we have,

z2 = (400 - 340) / 50 = 1.2

Area under the standard normal distribution curve between these two z-scores.

Standard normal distribution table

Probabilities, or use the properties of the normal distribution to calculate it as,

P(-0.8 < Z < 1.2)

= P(Z < 1.2) - P(Z < -0.8)

Using a standard normal distribution table we have,

P(Z < 1.2) ≈ 0.8849

P(Z < -0.8) ≈ 0.2119

Substituting these values in the above equation, we get,

P(-0.8 < Z < 1.2)

≈ 0.8849 - 0.2119

≈ 0.6730

Therefore, the probability that a randomly chosen student will spend between $300 and $400 on clothing in a year is approximately 0.6730 or 67.30%.

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Answer:

two plus two equals five

Step-by-step explanation:

Answer:

y=mx+b. this is an equation for trying to find the slope. Here, x and y are the coordinates of the points, m is the gradient, and b is the intercept of the y-axis.

Answer:

B

Step-by-step explanation:

8/5=1.6

The correct answer is the equation of the line is y = \(-\frac{2}{3} x - 2\)

Given the equation of the parallel line is 2x + 3y = 3

and the required line passes through the point (3, -4) where x is 3 and y is -4

We can write the given equation  as:

⇒ 3y = 3 - 2x

Dividing both sides by 3

\(y = 1 - \frac{2x}{3}\)

On comparing this equation with y= mx+b, thus m = \(-\frac{2}{3}\) and the slopes of parallel lines are always equal.

Using the point slope form, we will derive the equation of line

⇒ \(y-y_1 =m ( x- x_1)\)

⇒ \(y- (-4) = -\frac{2}{3} (x-3)\)

⇒ \(y+4= -\frac{2}{3} (x) - \frac{2}{3} (-3)\)

⇒ \(y = -\frac{2}{3} (x) +2-4\)

⇒ \(y = -\frac{2}{3} (x) - 2\)

Hence, the equation of the required line is \(y = -\frac{2}{3} (x) - 2\)

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Step-by-step explanation:

b =-4 (y-intercept)

x =0

m = 0 (the line doesn't have a slope)

y = mx + c

y = 0(0) + (-4)

y = - 4

This tells us that the matrices are linearly dependent.

If a, b is a multiple of c, d, and abcd is 0, then we can write this as a matrix equation:

[a b] [c] [0]

[c d] [d] = [0]

This tells us that the matrix [a b] is a left-multiple of the matrix [c d]. In other words, there exists some scalar k such that [a b] = k[c d].

From this, we can see that a, c is a multiple of b, d. This is because a = kc and b = kd. Therefore, a is a multiple of c, and b is a multiple of d.

This tells us that the matrices are linearly dependent. In general, whether a matrix is a multiple of another matrix or not depends on the specific elements of the matrices. In order to determine if a matrix is a multiple of another, one can use matrix algebra and linear algebra techniques to simplify the matrices and look for patterns.

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The sum to infinity of the function is -3/2

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

\(\sum\limits^{\infty}_{1} {3^n} \,\)

From the above sequence, we have

First term, a = 3

Common ratio, r = 3

The sum to infinity of the function is calculated as

Sum = a/(1 - r)

So, we have

Sum = 3/(1 - 3)

Evaluate

Sum = -3/2

Hence, the sum is -3/2

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Question

Calculate the sum to infinity of the function for

\(\sum\limits^{\infty}_{1} {3^n} \,\)

Check the picture below.

The f(x) value for each x-value in the table is

-2    36

-1     6

0      1

1       1/6

2       1/36

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

f(x) = (1/6)ˣ

From the table, we have the values of x to be integer values from -2 to 2

Using the above as a guide, we have the following:

f(-2) = (1/6)⁻² = 1/36

f(-1) = (1/6)⁻¹ = 6

f(0) = (1/6)⁰ = 1

f(1) = (1/6)¹ = 1/6

f(2) = (1/6)² = 1/36

So, the complete table of values is

-2    36

-1     6

0      1

1       1/6

2       1/36

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The function e(x) = 8/3x - 8 is a linear function and the zeros of the function is x = 3

The function is given as

e(x) = 8/3x - 8

Set the function to 0

So, we have

8/3x - 8 = 0

Add 8 to both sides of the equations

So, we have

8/3x = 8

Divide both sides of the equation by 8

So, we have

1/3x= 1

Multiply both sides of the equation by 3

So, we have

x = 3

Hence, the zeros of the function is x = 3

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The standard error of the mean for this random sample of 100 customers is 0.1.

The correct option is C.

The standard error of the mean is a measure that indicates the precision or variability of the sample mean in relation to the population mean. It represents the average amount of sampling error we can expect when estimating the population means based on a sample.

To calculate the standard error of the mean, we divide the standard deviation of the population by the square root of the sample size. In this case, the standard deviation is 1 minute and the sample size is 100.

Dividing 1 by the square root of 100, we get 1/10 or 0.1. This means that the standard error of the mean for this sample is 0.1.

A smaller standard error of the mean indicates that the sample mean is a more accurate estimate of the population mean. In this case, a standard error of 0.1 suggests that the average length of time it took customers to check out may vary around the sample mean by approximately 0.1 minutes.

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Answer: 45 = 5t

Step-by-step explanation:

From the question, Jamahl wants to celebrate his birthday by roller skating with his friends and he has a total of $45dollar to buy t tickets.

We are further told that the ticket costs $5. The equation that matches the situation will be:

45 = (5 × t)

45 = 5t

t = 45/5

t = 9

He can buy 9 tickets

3/8 is smaller than 3/5.

3/8 is smaller than 3/5

Find the LCD of both fractions:

Multiples of 8:

8, 16, 24, 32, 40, 48, 56, 64, 72, …

Multiples of 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, …

40 is the LCD of denominators 5 and 8.

Multiply both denominators by a number that makes it 40, multiply that same number by each numerator:

3/8:

3 x 5 = 15

8 x 5 = 40

15/40

3/5:

3 x 8 = 24

5 x 8 = 40

24/40

15/40 < 24/40

Hope this helps

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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Step-by-step explanation:

\(\sf \longmapsto \: x = \bigg( \dfrac{5}{8} \bigg ) ^{2} \times \bigg( \dfrac{12}{15} \bigg) ^2\)

We need to Find:

\(\sf \longmapsto \: x = \cancel{ \frac{5 \times 5}{8 \times 8}} \times \cancel{ \frac{12 \times 12}{15 \times 15}} \)

\(\sf \longmapsto 2 \times 2\)

\(\sf \longmapsto \: x = 4\)

\(\sf \longmapsto \: x {}^{3} \)

\(\sf \longmapsto {4}^{3} \)

\(\sf \longmapsto4 \times 4 \times 4\)

\(\sf \longmapsto64 {}^{1} \)

\(\boxed{\sf x^3≈64 {}^{}} \)

Answer:

4:51

Step-by-step explanation:

The function "fig" is not defined in the given information, without its definition, we cannot determine the domain of the function for the given expressions: f(x) = x + 99 & g(x) = x²

(a) (r + g)(x) = r(x) + g(x) = (x - 8) + (x² - 8) = x² + x - 16

(b) (-9)(x) - 8 = - 9x - 8

(c) (f)(x) = f(x) = x + 99(x) = x²(f/g)(x) = f(x) / g(x) = (x + 9) / x

The domain of the given figure is not given, hence we can not find the domain of fig.

f(x) = x + 99

The function f(x) is defined as the sum of x and 99.

g(x) = x²

The function g(x) is defined as the square of x.

(a) (r+g)(x) = ?

The expression (r+g)(x) represents the sum of two functions, r(x) and g(x).

However, the specific definitions of r(x) and the value of x are not provided.

Therefore, we cannot determine the result without more information.

(b) (-9)(x) - ?

The expression (-9)(x) represents the product of -9 and x.

However, a specific value for x is not given, so we cannot compute the result without more information.

(c) (f)(x) = (a)

The expression (f)(x) represents the function f(x).

Since f(x) is defined as x + 99, we have (f)(x) = x + 99.

The result (a) is the same as the function itself, which is x + 99.

(d) (f/g)(x) = ?

The expression (f/g)(x) represents the quotient of two functions, f(x) and g(x).

Therefore, we need to divide f(x) by g(x), which gives us:

(f/g)(x) = (x + 99) / (x²)

(e)The domain of fig:

The function "fig" is not defined in the given information. Without its definition, we cannot determine the domain of the function.

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To find a function f such that f = ∇f, we need to take the gradient of f and set it equal to f:

f(x, y, z) = 6y^2z^3i + 12xyz^3j + 18xy^2z^2k

∇f = (∂f/∂x)i + (∂f/∂y)j + (∂f/∂z)k
= 0i + (12xz^3)i + (36y^2z^2)i + (12xyz^3)j + (36xy^2z)j + (36xy^2z)k

Setting ∇f = f, we get the following system of equations:

6y^2z^3 = 0
12xyz^3 = 12xz^3
18xy^2z^2 = 36y^2z^2
12xyz^3 = 36xy^2z
18xy^2z^2 = 36xy^2z

The first equation tells us that y or z must be 0. If y = 0, then the fourth and fifth equations reduce to 0 = 0, which is true for any value of x and z.

If z = 0, then the second and third equations reduce to 0 = 0, which is also true for any value of x and y.

Therefore, let's assume y is not equal to 0 and z is not equal to 0. Then we can simplify the system of equations to:

6z = 0
12x = 12
18y = 36
12y = 36

The first equation tells us that z must be 0, which derivatives our assumption. Therefore, we must have y = 2 and x = 1.

Substituting these values into f, we get:

f(x, y, z) = 6(2)^2(0)^3i + 12(1)(2)(0)^3j + 18(1)(2)^2(0)^2k
= 0i + 0j + 0k
= 0

Therefore, the function f(x, y, z) = 0 satisfies the condition f = ∇f.

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Answer:

x - matinee tickets

y - evening tickets

x≥0

y≥0

5x+8y≤40

Step-by-step explanation:

x + y ≤ 6

You'll have to express the linear inequality into an equality statement (in slope-intercept form, y = mx + b) in order to graph. You'll have to use a solid line because of the "≤ " symbol.  

                                                        y = - x + 6

Next, you'll have to choose two points to use for graphing. It's always safe to start with the y-intercept, (0, 6).

From there, you could use the slope (m = -1) and do the "rise over run" technique to plot your next point. Going up 1, left 1 will get you to (-1, 7); going down 1 right 1 will get you to point (1, 5). Connect your points and create a straight line.  

Next, to determine which region to shade, you must choose a convenient test point (that's not on the line) to see whether the given test point will satisfy the inequality statement.  

Let's choose the point of origin, (0, 0), and plug its values into the inequality statement:

                                 x + y ≤ 6

                                0 + 0 ≤ 6

                                      0 ≤ 6 (True statement). This means that you should shade the half-plane region where the test point is located (left side of the plane).

The first screenshot shows how I created the lines by plotting the first three points. The second screenshot shows the actual graph with the shaded region.

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The money has been invested for approximately 5 years.

Answer: ASA

Step-by-step explanation:

Its obvious!! Two angles and one side (ASA).

"ASA" is when we know two angles and a side between the angles. "ASA" means "Angle, Side, Angle"

The calculated price of the put option is $4.0183 for a time duration of 21/365 years. When the time duration changes to 18/365 years, the new calculated price is $3.9233, resulting in a predicted change in the option price of $0.095.      

Current stock price = $132.43

Probability of the option expiring in-the-money = 63.68%

Annualized volatility of the continuously compounded return on the stock = 0.76

Continuously compounded risk-free rate = 0.0398

Exercise price = $130

Time to expiration of the option = 3 weeks = 21/365 years

Using the Black-Scholes option pricing formula, the price of the put option is calculated as follows:

Here, the put option price is calculated for the time duration of 21/365 years because the time to expiration of the option is 3 weeks. The values for the other parameters in the formula are given in the question. Therefore, the calculated value of the put option price is $4.0183.

Difference in option price due to change in time:

Now we are required to find the change in the price of the option when the time duration changes from 21/365 years to 18/365 years (3 days). Using the same formula, we can find the new option price for the changed time duration as follows:

Here, the new time duration is 18/365 years, and all other parameter values remain the same. Therefore, the new calculated value of the put option price is $3.9233.

Therefore, the predicted change in the option price is $4.0183 - $3.9233 = $0.095.

In summary, the calculated price of the put option is $4.0183 for a time duration of 21/365 years. When the time duration changes to 18/365 years, the new calculated price is $3.9233, resulting in a predicted change in the option price of $0.095.

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Answer:

(-4 - 2)

Step-by-step explanation:

-8 (1/2 + 1/4) = -6/1  = -6

-4 - 2 = -6

Answer:

279 meters

Step-by-step explanation:

This is just some simple multiplication. 93*3=279

Submarine Odyssey's depth below sea level is 279 meters.

Given that two submarines titan and odyssey, titan descended 93 meters and odyssey descended 3 times as deep.

We need to find the depth of the submarine odyssey.

To find Odyssey's depth below sea level, we can start by determining the depth that Submarine Titan descended.

According to the given information, Submarine Titan descended 93 meters into the ocean to look for fish.

Now, we need to find the depth that Submarine Odyssey descended, which is three times as deep as Submarine Titan.

We can calculate this by multiplying the depth of Submarine Titan (93 meters) by 3:

Depth of Submarine Odyssey = 93 meters x 3 = 279 meters

Therefore, Submarine Odyssey's depth below sea level is 279 meters.

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Answer:

d. both b and c are not functions, and a is just a chart, not a function.