please help .thanks

Using the fact that the diagonals of a rectangle bisect each other, the value of x is -91

From the question, we are to determine the value of x in the given diagram

The given diagram shows a rectangle

From the given diagram,

US is one of the diagonals of the rectangle

W is the point where the other diagonal bisects the diagonal US

Since the diagonals of a rectangle bisect each other,

We can write that

UW = WS

From the given information,

UW = 82

WS = -x -9

Thus,

82 = -x - 9

Solve for x

82 = -x - 9

Add 9 to both sides

82 + 9 = -x - 9 + 9

91 = -x

Therefore,

x = -91

Hence,

The value of x is -91

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The shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

What is a normal distribution?

A normal distribution is a function on some random variables, which represent the set of all those random variables in a symmetrical bell shape about the mean value.

It shows that the probability of occurrence of some data which is distributed over a function is more at or around the mean.

It is also known as probability distribution curve.

The normal distribution has two parameters:

What is the shape of the normal distribution?

The normal distribution curve is at it's peak at the mean value. This shows that the probability of occurrence of the data or value is more concentrated or distributed about the mean. It is also symmetric about the mean. As we more further from the mean, we see that the normal distribution curve gradually decreases showing that the probability of occurrence of the data or the values decreases. The shape that this curve forms is like a bell-shaped. So the shape of normal distribution is bell shape.

Hence, the shape of the normal distribution is bell shape and it is also symmetrical from the left and right sides about the origins (mean).

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Answer:

Two or more Algebraic expressions are said to be equivalent, if both the expression produces same numerical value , when variable in the expressions are replaced by any Real number.

The two expressions are

1. 7 x +4

2. 3 x +5 +4 x =1

Adding and subtracting Variables and constants

→7 x +5=1

→7 x +5-1

→7 x +4

→ When x=2,

7 x + 4 =7×2+4

=14 +4

=18

So, Both the expression has same value =18.

→So, by the definition of equivalent expression, when ,you substitute , x by any real number the two expression are equivalent.

Correct options among the given statement about the expressions are:

1.When x = 2, both expressions have a value of 18.

2.The expressions have equivalent values for any value of x.

3.The expressions have equivalent values if x = 8.

Answer:x - number of minutes;

f ( x ) - the distance from the finish line.

  x :        0     2      4      6

f ( x ) :    3      2      1     0

f ( x ) = 3 - x/2

Answer: B ) f ( x ) = -1/2 x + 3

Step-by-step explanation:

Answer:

f(x) = (1/2)X

Step-by-step explanation:

speed = distance / time

distance = speed x time

3 = (1/2) X

X = 3/(0.5) = 6min

let distance = F(X)

f(x) = (1/2)X

6983245455445

it's correct

To convert the given infix expression a+bc/2 - (ac - 3/b) into postfix notation, we will use a stack to store and manage operators. Here's the step-by-step process:

1. Start scanning the expression from left to right.
2. If an operand (a, b, c, 2, or 3) is encountered, append it to the output.
3. If an operator (+, -, *, or /) is encountered, push it onto the stack if it's empty or if the operator at the top of the stack has a lower precedence. Otherwise, pop operators from the stack and append them to the output until the stack is empty or the operator at the top of the stack has a lower precedence. Then, push the current operator onto the stack.
4. If an open parenthesis '(' is encountered, push it onto the stack.
5. If a close parenthesis ')' is encountered, pop operators from the stack and append them to the output until an open parenthesis '(' is encountered. Pop the open parenthesis but do not append it to the output.
6. After scanning the entire expression, if there are still operators in the stack, pop them and append them to the output.

Applying these rules, we get the following postfix expression:

a b c * 2 / + a c * 3 b / - -

Here's the evolution of the stack during each step:

1. Push '+'
2. Push '*', pop '+' (higher precedence), push '+'
3. Push '/'
4. Pop '*', pop '/', push '-'
5. Push '*', pop '-' (higher precedence), push '-'
6. Push '/'
7. Pop '*', pop '/', pop '+', pop '-'

The resulting postfix expression is: a b c * 2 / + a c * 3 b / - -

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Answer:

14,580 lb

Step-by-step explanation:

A cubic inch of the newly discovered material madelbromium weighs 5 ounces. How many pounds will a cubic yard of madelbromium weigh?

1 yd³ × (36 in.)³/(1 yd)³ = 46,656 in.³

1 in.³ weighs 5 oz

1 yd³ weighs 5 oz × 46,656 oz = 233,280 oz

233,280 oz × (1 lb)/(16 oz) = 14,580 lb

Answer: 14,580 lb

The correct question is;

dimensions of a rectangular prism as shown below: Length:2\(\frac{1}{4}\) feet. Width: 1 foot. Height:1

Part A: How many small cubes can be packed in a rectangular prism? Show your work.

Part B: Use the answer obtained in part A to find the volume of a rectangular prism in terms of the small cube in unit cube  

A) The number of small cubes can be packed in a rectangular prism is;

180 small cubes can be packed in the rectangular prism.

B) The Volume of the rectangular prism in terms of the small cube and a unit cube is;

Volume = 180 cubes

Formula for volume of a rectangular prisms is;

V = Length × width × height

Length = 2¹/₄ ft

Width = 1 ft

Height = 1¹/₄ ft

Thus;

Volume of prism = 2¹/₄ × 1 × 1¹/₄ = \(\frac{45}{16}\) ft³

Volume of cube = ¹/₄ × ¹/₄ × ¹/₄ = \(\frac{1}{64}\) ft³

Thus, number of cubes that can be packed inside the prism = \(\frac{45}{16}\) ÷ \(\frac{1}{64}\)

number of cubes that can be packed inside the prism = 180 cubes

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Profitability index is 1.387. Thus, the correct option is (c) 1.387.

The formula for calculating the profitability index is:

P.I = PV of Future Cash Flows / Initial Investment

Where,

P.I is the profitability index

PV is the present value of future cash flows

The initial investment in the project is $30 million. The cash flow at the end of the first year is $2.85 million.

The present value of cash flows can be calculated using the formula:

PV = CF / (1 + r)ⁿ

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

n is the number of periods

For the first-year cash flow, n = 1, CF = $2.85 million, and r = 11%.

Substituting the values, we get:

PV = 2.85 / (1 + 0.11)¹ = $2.56 million

To calculate the present value of all future cash flows, we can use the formula:

PV = CF / (r - g)

Where,

PV is the present value of cash flows

CF is the cash flow in the given period

r is the discount rate

g is the constant growth rate

For the subsequent years, CF = $2.85 million, r = 11%, and g = 3.85%.

Substituting the values, we get:

PV = 2.85 / (0.11 - 0.0385) = $39.90 million

The total present value of cash flows is the sum of the present value of the first-year cash flow and the present value of all future cash flows.

PV of future cash flows = $39.90 million + $2.56 million = $42.46 million

Profitability index (P.I) = PV of future cash flows / Initial investment

= 42.46 / 30

= 1.387

Therefore, the correct option is (c) 1.387.

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Answer:

Area = 50.24

Step-by-step explanation:

Area of circle is πr²

demeter is 8 so radius is 4

π4²

π16

3.14 x 16 = 50.24

Answer:

wheres the tables at

Step-by-step explanation:

Answer:

A  just took the test.

Step-by-step explanation:

Answer:

\(sin25° \times sec65° = 1 \\ cos(90° - 25°) \times \frac{1}{cos65°} = 1 \\

cos65° \times \frac{1}{cos65°} = 1 \\ 1 = 1\)

The intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

The equation of a sphere with center (h, k, l) and radius r is given by (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2. In this case, the center is (-3, 2, 6) and the radius is 5, so the equation of the sphere is (x + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25.

To find the intersection of the sphere with the yz-plane (x = 0), we substitute x = 0 into the equation of the sphere. This gives (0 + 3)^2 + (y - 2)^2 + (z - 6)^2 = 25, which simplifies to 6^2 + (y - 2)^2 + (z - 6)^2 = 25. This equation represents a circle in the yz-plane centered at (2, 6) with a radius of 5.

Therefore, the intersection of the sphere with the yz-plane is a circle centered at (2, 6) with a radius of 5.

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Answer:

-2y

Step-by-step explanation:

10x+ -2y = 3

-10            -10

-2y        =  -7

-2              -2

Answer:

C po

Step-by-step explanation:

sana maka tulong po sayo

Answer:

x=70

Step-by-step explanation:

https://www.symbolab.com/solver/step-by-step/-%5Cfrac%7B3%7D%7B%205%7Dx-%5Cfrac%7B7%7D%7B10%7Dx%2B%5Cfrac%7B1%7D%7B2%7Dx%3D-56?or=input

this is a legit site that will show how they got the answer. I use it all the time.

Answer: A: 4

Step-by-step explanation:

This is the number we will start the line, if we were to graph this example. We would then go up 1 page for every hour (1 y for every x), on the graph.

Answer:

768 cubic inches

Step-by-step explanation:

8x8x12=768

Answer:

D 57

Step-by-step explanation:

The value of X

The result for the given normal random variables are as follows;

a. E(3X + 2Y) = 18

b. V(3X + 2Y) = 77

c. P(3X + 2Y < 18) = 0.5

d. P(3X + 2Y < 28) = 0.8729

Any normally distributed random variable having mean = 0 and standard deviation = 1 is referred to as a standard normal random variable. The letter Z will always be used to represent it.

Now, according to the question;

The given normal random variables are;

E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8.

Part a.

Consider E(3X + 2Y)

\(\begin{aligned}E(3 X+2 Y) &=3 E(X)+2 E(Y) \\&=(3) (2)+(2)(6 )\\&=18\end{aligned}\)

Part b.

Consider V(3X + 2Y)

\(\begin{aligned}V(3 X+2 Y) &=3^{2} V(X)+2^{2} V(Y) \\&=(9)(5)+(4)(8) \\&=77\end{aligned}\)

Part c.

Consider P(3X + 2Y < 18)

A normal random variable is also linear combination of two independent normal random variables.

\(3 X+2 Y \sim N(18,77)\)

Thus,

\(P(3 X+2 Y < 18)=0.5\)

Part d.

Consider P(3X + 2Y < 28)

\(Z=\frac{(3 X+2 Y-18)}{\sqrt{77}}\)

\(\begin{aligned} P(3X + 2Y < 28)&=P\left(\frac{3 X+2 Y-18}{\sqrt{77}} < \frac{28-18}{\sqrt{77}}\right) \\&=P(Z < 1.14) \\&=0.8729\end{aligned}\)

Therefore, the values for the given normal random variables are found.

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The correct question is-

X and Y are independent, normal random variables with E(X) = 2, V(X) = 5, E(Y) = 6, and V(Y) = 8. Determine the following:

a. E(3X + 2Y)

b. V(3X + 2Y)

c. P(3X + 2Y < 18)

d. P(3X + 2Y < 28)

The expression of the mathematical statement given as the difference of t and five multiplied by six is four is 6(t - 5)  = 4

From the question, the mathematical statement is given as

the difference of t and five multiplied by six is four

The difference of numbers means that we subtract the numbers

i.e. difference means subtraction

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) multiplied by six is four

The multiplication of numbers means that we take the product of the numbers

i.e. multiply means product

So, we have

the difference of t and five multiplied by six is four ⇒ (t - five) x six is four

Lastly, we have

(t - five) x six = four

Express as numbers

(t - 5) x 6 = 4

This becomes

6(t - 5)  = 4

Hence, the expression represented by the statement is 6(t - 5)  = 4

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The value of f in the pentagon is 72 degrees.

A pentagon is a polygon with 5 sides. A regular pentagon is a polygon with 5 sides equal to each other. Therefore, In the regular pentagon, all of the exterior angles marked f are the same size.

Let's find the value of f as follows:

Therefore, the sum of exterior angles of a pentagon is 360 degrees.

Hence,

5f = 360 degrees

divide both sides of the equation by 5

5f / 5 = 360 / 5

f = 72 degrees

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========================================================

Explanation:

Consider a square on paper that is 3 inches by 3 inches. It's area would be 3*3 = 9 square inches.

The ratio 1 to 38 means that 1 inch on paper corresponds to 38 inches in real life (assuming the "1 to 38" doesn't have any verbal units attached to it; if so, then refer to the note below). So a 3 by 3 square corresponds to a 114 by 114 square because 3*38 = 114.

The area of the second larger square is 114*114 = 12,996 square inches.

Now divide the two areas: (12,996)/(9) = 1444

It's probably not entirely obvious, but through a bit of playing around with various numbers, you should find that 38^2 = 1444. It's not a coincidence that this happens. The linear scale factor is 38 which means the area scale factor is 38^2 = 1444.

In short, the larger square in real life has area that is 1444 times that of its scaled down counterpart.

Or put another way:

large area = 1444*(small area)

------------------

Side note: This all assumes that the numbers in "1 to 38" are both the same unit. If we had a mixed ratio of units like "1 inch to 38 feet", then the answer would be different. You would need to convert from feet to inches, and then follow the steps above to get a different answer.

Answer:

119.38

Step-by-step explanation:

955÷8=119.375

=119.38

Regression equations are used to represent the relationship between the x and y variables.

To determine the quadratic regression equation, we make use of a graphic calculator

Using a graphing calculator, we have the quadratic regression equation to be \(\mathbf{y =-6.407 X^2 +216.721 X -975.561}\)

When the selling price is $14.25, it means that:

\(\mathbf{x = 14.25}\)

So, we have:

\(\mathbf{y =-6.407 \times 14.25^2 +216.721 \times 14.25 -975.561}\)

Evaluate the exponents

\(\mathbf{y =-6.407 \times 203.0625+216.721 \times 14.25 -975.561}\)

Evaluate the products

\(\mathbf{y =-1301.0214375+3088.27425 -975.561}\)

Evaluate like terms

\(\mathbf{y =811.6918125}\)

Approximate to the nearest dollar

\(\mathbf{y =812}\)

Hence, the profit for a selling price of $14.25 is $812

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Answer:

15

Step-by-step explanation:

x+(x+1)+(x+2)= 48

=)3x+3=48

=)3x=45

X=15

The smallest of the integers would be 15.

The consecutive numbers are those numbers that follow each other continuously in the order from smallest to largest numbers.

Given that the sum of 3 consecutive integers is 48.

We need to find the smallest of the integers.

Let assume the 3 consecutive integers are x, (x+1) and (x+2)

Therefore, x+(x+1)+(x+2)= 48

Combine the like terms;

3x+3=48

3x=45

X=15

Hence, the smallest of the integers would be 15.

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Answer: a≈2.22

V=a3

a=V⅓=11⅓≈2.22398in

Step-by-step explanation:

Answer:

If you mean he starts at 1 on the Y axis (vertical line), then the answer is (1, 3). If you mean he starts at 1 on the X axis (horizontal line), then the answer is (0, 4)

Answer:

4 and 4 away

Step-by-step explanation:

If you start at one on the number line and go to the right you'll end up on 4 because if you start from one and then add 3 that equals 4.

Now if you were to figure out how FAR he is away from 0 you have to start at for and figure out what number you have to minus 4 by to get zero which is 4 because 4-4=0

Hope this helps :)