abanklends money for a year at an interest rate of 7%, and the inflation rate for that year turns out to be 5%. what is the bank's real rate of return for that year? 2.0% 3.5% 12.0% 6.0%

From the given information provided, the probability of event F given that event E has occurred is 0.5.

Conditional probability is probability of an event A occurring with given that event B has occurred. It is denoted as P(A|B) and is calculated as follows:

P(A|B) = P(A and B) / P(B)

To find P(F/E), we use the conditional probability formula:

P(F/E) = P(E and F) / P(E)

We are given that P(E and F) = 0.1 and P(E) = 0.2. Substituting the given values in the formula, we get:

P(F/E) = 0.1 / 0.2

Simplifying this expression, we get:

P(F/E) = 0.5

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The wooden made triangle is that it is a Isosceles Right Angled Triangle

Triangle: A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted ΔABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

it is given that a piece of wood is cut into a triangle with sides that measure 17 cm , 17cm and 24cm the angles of the triangle measure 45 degrees, 45 degrees, and 90 degrees.

sides of the triangles=17 cm , 17cm and 24cm

two sides are equal so we can say it is an isosceles triangle

because isosceles triangle has two equal measured sides

if we get into the angles of that triangle they are 45 degrees, 45 degrees, and 90 degrees.

triangle with 90 degrees angle is called as right angled triangle

so we can finally conclude about the wooden made triangle is that it is a Isosceles Right Angled Triangle

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The triangle is made of wood and is an isosceles right triangle.

What does Triangle mean?

A triangle is a polygon that has three vertices and three edges. It is one of the fundamental geometric shapes. The symbol for a triangle containing the vertices A, B, and C is ABC. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

Given that a piece of wood is carved into a triangle with sides that measure 17, 17, and 24, and angles that measure 45, 45, and 90 degrees, the triangle's dimensions are as follows.

triangles have sides of 17, 17, and 24 cm.

It is an isosceles triangle since its two sides are equal.

since an isosceles triangle has two sides with equal lengths

When it comes to that triangle's angles, they are 45, 45, and 90 degrees.

Right-angled triangles are triangles with an angle of 90 degrees.

Finally, we may say that the triangle is an isosceles right triangle because it is composed of wood.

Answer:

False

Step-by-step explanation:

The function isn't continuous at x=±2 as a function isn't continuous at the point where the function becomes undefined, this function becomes undefined when the denominator is equal to 0. So x^2-4=0 => x=±2.

Answer:

15% of the students got d's, and 5% got f's.

Answer:

15% Of Students!

Hope that this helps!!! :)

Answer:

x = 35

y = 48

Explanation:

Both angles (2x - 3) and (3x + 8) makes total 180°

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

2x - 3 + 3x + 8 = 180

2x + 3x -3 + 8 = 180

5x + 5 = 180

5x = 180 - 5

5x = 175

x = 35

Find the angle beside (3x + 8)

180° - (3x + 8)

180° - (3(35) + 8)°

67°

Then find value of y

65 + 67 + y = 180°

y = 180 - 65 - 67

y = 48

When Joan examines the graph, she notes that there are always three times as many steps as there are feet. She is not correct.

A simple graph is a graph that does not have more than one edge between any two vertices and no edge starts and ends at the same vertex. In other words a simple graph is a graph without loops and multiple edges.

According to the graph we were shown, if she takes 6 steps, that implies she is walking 18 feet. To write this down in mathematics, let x be the number of steps she is taking and y be the number of feet she has covered. If x = 6 and y = 18, then x  3 times equal to y.

From the graph, we can see that when the steps are two, then feet are six, the steps are four, then feet are twelve, and the steps are six, then feet are eighteen.

x= 2,4,6 then y = 6,12,18

x*n = y

2 * n = 6.

4* n = 12

6*n = 18 and so on

n = 3

that is x*3 = y

3times steps is the number of feet, is the correct statement.

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The measure of the arc TQ is 180°.

Given that a circle with an angle subtended outside is 38° and a small arc of 104°, we need to determine the measure of arc TQ.

So, according to the property of a circle, we have,

m ∠R = 1/2 [m arc TQ - m arc SQ]

38° × 2 = m arc TQ - 104°

76° = m arc TQ - 104°

m arc TQ = 76° + 104°

m arc TQ = 180°

Hence the measure of the arc TQ is 180°.

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Answer:

So, the question is asking how many pounds are there in 48 shipments if ever 12 shipments are 3 pounds, so what you want to do is so how many times 12 will go into 48 and then multiply that by 3!

48/12 = 4

4 * 3 = 12

The total 48 shipments weigh 12 pounds!

Step-by-step explanation:

Hope it helps! =D

Answer:

The weight of one pack of sardines is 3 pounds / 12 packs = 0.25 pounds/pack

So the weight of 48 packs of sardines is 0.25 pounds/pack * 48 packs = 12 pounds.

Answer:

Step-by-step explanation:

B

Answer:

<DOE= 25

<AOE=145

<COB=90

BC=90

EA=145

ACE=235

Step-by-step explanation:

same thing as the last question :)

Answer:

positive sign

I hope it's helps you ❤️☺️

Answer:

-3x - 2

Step-by-step explanation:

-(x - 5) ⇒ -x + 5

-(2x + 7) ⇒ -2x - 7

-x + 5 - 2x - 7 ⇒ -3x - 2

multiply by sign:-x+5-2x-7

collect like term:-x-2x+5-7

simplify:-3x-2

The triangle ΔABC with sides a = 10 and b = 15 does not have enough information to determine whether it will have a greater area when ∠C = 1° or when ∠C = 50°.

To calculate the area of a triangle, we need to know the lengths of at least one side and the corresponding height or altitude. In this case, we are given the lengths of sides a and b, but we do not have any information about the height or altitude of the triangle.

The area of a triangle is given by the formula:

Area = (1/2) * base * height

without knowing the length of the altitude or any additional information about the triangle, we cannot determine the exact area of the triangle or compare the areas when ∠C = 1° and ∠C = 50°.

The size of angle ∠C alone does not provide enough information to determine the relative areas of the triangles. The area of a triangle depends not only on the lengths of its sides but also on the corresponding height or altitude.

Therefore, without additional information, it is not possible to determine whether the triangle will have a greater area when ∠C = 1° or when ∠C = 50°.

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Answer:

108.00

Step-by-step explanation:

just have to multiply 4.50 x 24

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

The mathematics curriculum involves examining numbers, the equation the environment we live in, structures, and both actual and hypothetical locations. A function is a variable representation of the relationship between the quantities of intake and the corresponding outputs for each. Simply explained, a function is a collection of inputs that, when combined, provide unique outputs for each input.

Here,

Given :

mass of a population of duckweed is 500g

=>  function m(t)= 500x³^t/45

So,

=> t = 45 hours

Since it is given that the mass of the population of the duckweed triples every 45 hours

it is clear that the time taken for the duckweed to grow a mass triple the original size will be 45 hours .

Therefore , the solution of the given problem of function comes out to be the duckweed to grow a mass triple the original size will be 45 hours.

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overflow in two's complement arithmetic causes the wrap-around of the most significant bit, resulting in the representation of positive numbers as negative numbers.

In two's complement representation, numbers are represented using a fixed number of bits. The most significant bit (MSB) is reserved to indicate the sign of the number, where 0 represents a positive number and 1 represents a negative number.

Overflow occurs in two's complement arithmetic when the result of an operation exceeds the range that can be represented with the available number of bits.

When overflow occurs, the result is truncated or wrapped around to fit within the bit representation. This wrapping around effectively causes the MSB to flip its value, changing the sign of the number. As a result, the number that was intended to be positive becomes negative in the two's complement representation.

For example, consider an 8-bit two's complement representation. The range for a signed 8-bit number is -128 to +127. If we add 1 to the maximum positive value of 127, overflow occurs because the result exceeds the range. The binary representation of 127 is 01111111, and adding 1 results in 10000000. Since the MSB changed from 0 to 1, the number is interpreted as -128 in two's complement representation.

In summary, overflow in two's complement arithmetic causes the wrap-around of the most significant bit, resulting in the representation of positive numbers as negative numbers.

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Answer:

A

Step-by-step explanation:

The number of the small seats is 30 while the number of the big seats is 94.

We know that from the question, Vicky is an airline attendant. Last week, she worked on flights on 3 small jets and 5 large jets, which could seat a total of 560 passengers. The week before, she was assigned to flights on 5 small jets and 2 large jets, which could seat a total of 338 passengers.

Now;

Let the number of small seats be x and the number of large seats be y

It follows that;

3x + 5y = 560 ----- (1)

5x + 2y = 338 ------(2)

If you multiply (1) by 5 and (2) by 3 we have;

15x + 25y = 2800 ------ (3)

15x + 6y = 1014 -----------(4)

        19 y = 1786

y = 1786/19

= 94

Substitute y = 94 into (1)

3x + 5(94) = 560

x = 560 -  5(94)/3

x = 30

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Step-by-step explanation:

m∠LON ≅ m∠M        Property of Parallelogram; Opposite angles are congruent

m∠M = 118°                Given

m∠LON = 118°            Substitution

m∠OLN + m∠LNO + m∠LON  = 180°      Sum of angles in a triangle

m∠OLN + 118° + 22° = 180°                      Substitution

m∠OLN = 40°                                            Algebra  

I hope this helps!!!

If this is a sample of 6 scores, then  SS using the definitional formula would equal 17.5.

To find the SS (sum of squares) using the definitional formula, you need to first calculate the mean of the scores. Here's

1. Calculate the mean (µ) using ∑x and the number of scores (n):
Mean (µ) = (∑x) / n
µ = 39 / 6
µ = 6.5

2. Use the computational formula for SS:
SS = ∑x² - ( (∑x)² / n )
SS = 271 - (39² / 6)
SS = 271 - (1521 / 6)
SS = 271 - 253.5

3. Calculate sample score SS:
SS = 17.5

So, the answer is 17.5.

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The distance bewteen the points (-3,5) and (3,1) in a simple radical form is 2√13.

The distance formula used in finding the distance between two points is expressed as;

d = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )

From the graph;

Point A: (-3,5)

x₁ = -3

y₁ = 5

Point B: (3,1)

x₂ = 3

y₂ = 1

Plug the given values into the distance formula and simplify.

\(d = \sqrt{( x_2 - x_1)^2 + (y_2 -y_1 )^2} \\\\d = \sqrt{( 3-(-3))^2 + (1 -5)^2} \\\\d = \sqrt{( 3+ 3)^2 + (1 -5)^2} \\\\d = \sqrt{( 6)^2 + (-4)^2} \\\\d = \sqrt{36 + 16} \\\\d = \sqrt{52}\\\\d = 2\sqrt{13}\)

Therefore, the distance between the points is 2√13.

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Answer: 76/8547

Step-by-step explanation:

two possibilities

3 boys or 4 boys it would end up as

(18C3+18C4)/37C5

The correct answer is option c) infinitely many solutions..

To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.

Given:

-6x + 2y = 8 ---(1)

y = 3x + 4 ---(2)

Substitute equation (2) into equation (1):

-6x + 2(3x + 4) = 8

Simplify:

-6x + 6x + 8 = 8

8 = 8

We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.

Therefore, the correct answer is option c) infinitely many solutions..

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Answer:

2

Step-by-step explanation:

14 divided by 7 is two customers in one minute

Answer:

After one minute there will be 2 people inside the store.

Step-by-step explanation:

First we put this into a proportion. Aka set up like a fraction.

14 (customers)                 x

-------                 --->         ------

7 (minute)                      1 minute

In order to find x, we must divide by 7  because in order to make the bottom number one on the bottom, you must divide by 7 , so we do the same to the top.

14/7 is 2.  

This means that per minute, there are 2 people inside the store.

After one minute, There will be 2 people inside the store.

Answer:

3(2x-5)(x+2)

Step-by-step explanation:

Factor out the 3.

3(2x²-x-10)

Factor the remaining.

3(2x-5)(x+2)

(I don‘t know what grid they’re talking about.)

Answer:

8(2x - 1)

Distributive property