μ=1.2 and σ=0.13. Find P(x>1.35). P(x>1.35)= You may need to use the appropriate appendix table to answer this question.

Answer:

$430535434

Step-by-step explanation:

$430,934,932-$399,498 = 430535434

Answer:

£312

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

if you replace n with 10 you will get

2(10+2)<5(10-1)

2(12)<5(9)

24<45

which is a true statement if you replace n with any other number you will get a incorrect statement and if you replace n with 3 though they are equal it's not a ≤ it's only <

Answer:aNSWER IN THE IMAGE

Step-by-step explanation:

The null hypothesis should be rejected.

To determine whether the null hypothesis should be rejected or not, we need to compare the test statistic with the critical value at the chosen level of significance.

Given that the level of significance is 0.05, we need to assess whether the test statistic, calculated based on the sample data, falls in the rejection region.

To make a decision, we compare the test statistic with the critical value from the appropriate statistical distribution. However, the critical value is not provided in the given information. Without the critical value, we cannot determine whether the null hypothesis should be rejected or not.

Therefore, based on the given information, we do not have enough information to answer the question. The correct option is: c. Not enough information is given to answer this question.

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The value of c is 17.50 and the value of d is 2.40

A finite collection of symbols that are properly created in line with context-dependent criteria is referred to as an expression, sometimes known as a mathematical expression.

Given

Equation for 4 days

C + 4d=27.10

Equation for 7 days

C + 7d=34.30

Solving simultaneously equation

C + 4d=27.10

- C + 7d=34.30

by simplifying,

0- 3d = - 7.20

d= -7.30/-3

=2.40

Replace the d 2.40 in either side

C+4d = 27.10

C=27.10 - 4d

=27.10 - 4(2.40)

=17.50

Therefore the value of c is 17.50 and the value of d is 2.40

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3. The current price of the common stock is $40.

4. The stock price considering the company quitting business after 25 years is $46.81.

5. The stock price assuming constant dividends is $26.67.

6. The stock price assuming constant dividends and the company quitting business after 25 years is $25.88.

3. The current price of the common stock can be calculated using the dividend discount model. The formula for the stock price is P = D / (r - g), where P is the stock price, D is the dividend, r is the required return, and g is the growth rate. In this case, the dividend is $4, the required return is 15% (0.15), and the growth rate is 5% (0.05). Plugging these values into the formula, we get P = 4 / (0.15 - 0.05) = $40.

4. If the company quits business after 25 years, we need to calculate the present value of the dividends for those 25 years and add it to the final liquidation value. The present value of the dividends can be calculated using the formula PV = D / (r - g) * (1 - (1 + g)^-n), where PV is the present value, D is the dividend, r is the required return, g is the growth rate, and n is the number of years. In this case, D = $4, r = 15% (0.15), g = 5% (0.05), and n = 25. Plugging these values into the formula, we get PV = 4 / (0.15 - 0.05) * (1 - (1 + 0.05)^-25) = $46.81. Adding the final liquidation value, which is the future value of the stock price after 25 years, we get $46.81 + $0 = $46.81.

5. Assuming constant dividends, the stock price can be calculated using the formula P = D / r, where P is the stock price, D is the dividend, and r is the required return. In this case, the dividend is $4 and the required return is 15% (0.15). Plugging these values into the formula, we get P = 4 / 0.15 = $26.67.

6. If the company quits business after 25 years and assuming constant dividends, we need to calculate the present value of the dividends for those 25 years and add it to the final liquidation value. The present value of the dividends can be calculated using the formula PV = D / r * (1 - (1 + r)^-n), where PV is the present value, D is the dividend, r is the required return, and n is the number of years. In this case, D = $4, r = 15% (0.15), and n = 25. Plugging these values into the formula, we get PV = 4 / 0.15 * (1 - (1 + 0.15)^-25) = $25.88. Adding the final liquidation value, which is the future value of the stock price after 25 years, we get $25.88 + $0 = $25.88.

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The capacity of the mug is given by M = 1 7/8 cups

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the amount of mug filled = ( 1/5 ) of the full amount M

Now , the mug contains 3/8 of a cup of water

So , the equation is

( 1/5 )M = ( 3/8 ) of a cup

Multiply by 5 on both sides , we get

M = 15/8 of a cups

M = 1 7/8 cups

Hence , the capacity of the mug is 1 7/8 cups

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For the polygon the individual value of the interior angles.

a) 15 sides is 145°

b) 20 sides is 108°

c) 3 sides is 60°

d) 4 sides is 90°

e) 100 sides is 18°

A regular polygon is one where all sides are the same length and all interior angles are the same. The number of sides of a regular polygon can affect the value of its interior angles.

a) 15 sides: The sum of the interior angles of a regular polygon with 15 sides is equal to 2180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2180 / 15 = 145 degrees per angle.

b) 20 sides: The sum of the interior angles of a regular polygon with 20 sides is equal to 2160 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 2160 / 20 = 108 degrees per angle.

c) 3 sides: The sum of the interior angles of a regular polygon with 3 sides is equal to 180 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 180 / 3 = 60 degrees per angle.

d) 4 sides: The sum of the interior angles of a regular polygon with 4 sides is equal to 360 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 360 / 4 = 90 degrees per angle.

e) 100 sides: The sum of the interior angles of a regular polygon with 100 sides is equal to 1800 degrees. To find the individual value of each angle, divide the sum by the number of sides. In this case,

=> 1800 / 100 = 18 degrees per angle.

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The missing value in the puzzle is 29

The missing value in the puzzle can be obtained thus :

Take the Square of the value at the top of the triangle , A

Multiply the two bottom values , C

Subtract C from A to obtain the value in the middle of the triangle.

Hence,

A = 8² = 64

C = 7 * 5 = 35

Middle value = 64 - 35 = 29

Therefore, the missing value in the puzzle is

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Answer:

B. A slide of the figure

A translation of a figure can be considered a slide of the figure. Option A is correct.

Statement to justify what a translation of a figure can be considered as.

A. A turning of the figure about some fixed point,  B. A slide of the figure

C. An enlargement or a reduction of the figure, D. A mirror image of the figure

A translation is defined as a type of conversion that takes an individual point in a figure and slides it the same distance in the same direction.

Clearly from the above definition, A translation of a figure can be considered as a slide of the figure.

Thus, a translation of a figure can be considered a slide of the figure. Option A is correct.

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42

Step-by-step explan

Answer:

\(x = 0.68\)

Step-by-step explanation:

We would like to find out the value of x using logarithms of the given equation .The equation is ,

\(\longrightarrow 25^x - 3(5^x)=0\\\)

Add \(3(5^x)\) on both sides,

\(\longrightarrow 25^x = 3(5^x) \)

Using log to the base 10 on both sides, we have;

\(\longrightarrow log_{10}(25^x) = log_{10}\{3(5^x)\}\)

Recall that \( log(ab ) = log\ a + log\ b \) .

\(\longrightarrow log_{10}(25^x)=log_{10}3 + log_{10}5^x \)

Recall the properties of logarithm as \( log\ a^b = b\ log\ a \) .

\(\longrightarrow xlog25 = log_{10}3 + xlog_{10}5 \)

Again we can rewrite it as ,

\(\longrightarrow xlog(5^2)=log_{10}3+xlog_{10}5\\ \)

\(\longrightarrow 2x\ log_{10}5 = log_{10}3+xlog_{10}5 \\ \)

\(\longrightarrow 2x\ log_{10}5-x\ log_{10}5 = log_{10}5 \)

Simplify,

\(\longrightarrow x\ log_{10}5=log_{10}3 \)

Divide both sides by log5 ,

\(\longrightarrow x =\dfrac{log_{10}3}{log_{10}5} \)

Put on the values of log 3 and log5 ,

\(\longrightarrow x =\dfrac{0.47}{0.69} \)

Simplify,

\(\longrightarrow \underline{{\underline{\boldsymbol{ x = 0.68}}}}\)

And we are done!

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

\(\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx \)

Here 5 is a constant so it can come out . So that,

\(\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx \)

Now we can write √x as ,

\(\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx \)

Simplify ,

\(\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx \)

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

\(\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) \)

On simplifying we will get ,

\(\longrightarrow \underline{\underline{ I = 2 }}\)

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\( \displaystyle \int_{0} ^{1} 5x \sqrt{x} dx\)

use constant integration rule which yields:

\( \displaystyle 5\int_{0} ^{1} x \sqrt{x} dx\)

notice that we can rewrite √x using Law of exponent therefore we obtain:

\( \displaystyle 5\int_{0} ^{1} x \cdot {x}^{1/2} dx\)

once again use law of exponent which yields:

\( \displaystyle 5\int_{0} ^{1} {x}^{ \frac{3}{2} } dx\)

use exponent integration rule which yields;

\( \displaystyle 5 \left( \frac{{x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1} \right) \bigg| _{0} ^{1} \)

simplify which yields:

\( \displaystyle 2 {x}^{2} \sqrt{x} \bigg| _{0} ^{1} \)

recall fundamental theorem:

\( \displaystyle 2 ( {1}^{2}) (\sqrt{1} ) - 2( {0}^{2} )( \sqrt{0)} \)

simplify:

\( \displaystyle 2 \)

hence

our answer is A

Answer: y = -1/3x + 17/3

Step-by-step explanation:

Hey there! I will be showing and giving the formula/steps to solve this problem. If there are any questions then feel free to ask in the comments.

Formula: y = mx + b

Step 1 - Find M

m = (6 - 4) / (-1 - 5) = -2/6 = -1/3

The m is the slope.

Step 2 - Use (5, 4) to find point B

y = -1/3x + b

4 = 1/3 * 5 + b

b = 17/3

Answer: y = -1/3x + 17/3

You will plugin 4 for y and b is the intercept.

~I hope I helped you :)~

Answer:

linear equation for 2y+10x=60 is y=-5x+30 .. the other one is invalid

Step-by-step explanation:

The system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

A line process has three processing stages with the characteristics given below:

Stage A B C Unit processing time(minutes) 1 2 3 Number of machines 1 1 2 Machine availability 90% 100% 100% Process yield at stage 100% 100% 100%

To determine the system capacity and the bottleneck stage and utilization of Stage 3:

The system capacity is calculated by the product of the processing capacity of each stage:

1 x 1 x 2 = 2 units per minute

The bottleneck stage is the stage with the lowest capacity and it is Stage A. Therefore, Stage A has the lowest capacity and determines the system capacity.The utilization of Stage 3 can be calculated as the processing time per unit divided by the available time per unit:

Process time per unit = 1 + 2 + 3 = 6 minutes per unit

Available time per unit = 90% x 100% x 100% = 0.9 x 1 x 1 = 0.9 minutes per unit

The utilization of Stage 3 is, therefore, (6/0.9) x 100% = 666.67%.

However, utilization cannot be greater than 100%, so the actual utilization of Stage 3 is 100%.

Hence, the system capacity is 2 units per minute, the bottleneck stage is Stage A, and the utilization of Stage 3 is 100%.

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Answer:

The slope is -1

Step-by-step explanation:

Use the formula m=y2-y1/x2-x1

Answer:

150

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

c = 41.21 - 0.41L

hope this helps <3

The negative angles are measured in a clockwise direction.

When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the point at which two points come into contact.

An angle can be measured in either direction clockwise or anticlockwise.

The angle measured in the anticlockwise direction is considered a positive angle while the angles measured in the clockwise direction are considered to be negative angles.

Hence, the negative angles are measured in the clockwise direction.

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Yes, Both the students are correct because both students calculate the area of a rectangular garden.

A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.

Given that;

Roberto says they can use the expression;

⇒ 2(3)+2(3)

And, Jay says they can use the expression;

⇒ (4.9) 3

Now,

Since, The garden club plants a rectangular garden that.

And, It has been divided into six sections.

Here, The members want to find the area of the sections they planted with herbs.

Roberto says they can use the expression;

⇒ 2(3)+2(3)

Clearly, Robert find the area of garden as;

⇒ 2(3)+2(3) = 12 ft²

And, Jay find the area of garden as;

⇒ (4.9) 3 = 14.7 ft²

Thus, Both the students are correct because both students calculate the area of a rectangular garden.

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Answer:

2/65

Step-by-step explanation:

trust me

The probability that Sam picks two blue pens is,

⇒ 5 / 26

The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Given that;

A box has 26 pens —6 red, 8 green, 5 blue, and 7 black.

Here, Sam picks two pens at a time without replacement.

Hence, We get;

The probability that Sam picks two blue pens is,

⇒ P =  5 / 26

Thus, The probability that Sam picks two blue pens is,

⇒ 5 / 26

\

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Answer:

165

Step-by-step explain:

1=60

2 times 60 is 120

.75=3/4

3/4 of 60 is 45

add 120 and 45

= 165

The sum of roots in the given equation is (2 - √3). The correct answer would be an option (A) (2 - √3).

A sum of a quadratic equation is a number that can be evaluated for the variable to provide a true number statement.

For an equation of the form ax² + bx + c = 0, the sum of root for x is given by:

α + β = -b/a

The given equation is:

(2 - √3)x² - (7 - 4√3)x + (2 + √3) = 0

We can solve for x by using the sum of root formula, which states that

α + β = -b/a

Here, a = 2 - √3, b = -(7 - 4√3), and c = 2 + √3. Substituting these values into the formula, we get:

(7 - 4√3)/(2 - √3)

(7 - 4√3)/(2 - √3) × (2 + √3)/(2 + √3)

(7 - 4√3)(2 + √3) = 14 +7√3 - 8√3 -12

(2 - √3)

Thus, the sum of roots in the given equation is (2 - √3).

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The complete question would be as:

What is the sum of roots in this equation (2 - √3)x²- (7 - 4√3)x + (2 + √3) = 0?

A. (2 - √3)

B. (2 +√3)

C. 2

D.√3

Answer:

27

Step-by-step explanation:

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