The airline distance from Rome, Italy to Paris, France is 697 miles. The distance from Paris to Berlin,

Germany is 545 miles and the distance from Berlin to Rome is 734 miles. What is the angle formed from

Berlin to Paris to Rome?

The estimated difference is [tex]\( \frac{1}{2} \).[/tex]

To estimate the difference [tex]\( \frac{7}{8} - \frac{6}{11} \)[/tex] by replacing each fraction with 0, 1/2, or 1, let's break it down:

For [tex]\( \frac{7}{8} \):[/tex]

- [tex]\( \frac{7}{8} \)[/tex] is close to 1 since it's almost a whole.

For [tex]\( \frac{6}{11} \):[/tex]

- [tex]\( \frac{6}{11} \)[/tex] is close to 1/2 since it's a bit more than half.

So, we have:

[tex]\( 1 - \frac{1}{2} = \frac{1}{2} \)[/tex]

Therefore, the estimated difference is [tex]\( \frac{1}{2} \).[/tex]

Answer:

the length of the shadow is 45 feet long

Step-by-step explanation:

Answer:

62.8 m

Step-by-step explanation:

The circumference of the clock is the circumference of a circle which is given by

2 Pi r

Where

Pi = 3.14

Radius r = 10m

Therefore

Circumference = 2 x 3.14 x 10

= 62.8 m

The circumference of the clock is approximately 62.8 meters.

To find the circumference of a circle, you can use the formula C = 2πr, where C is the circumference and r is the radius of the circle. In this case, the radius of the clock is given as 10m. Substituting this value into the formula, we have C = 2π(10) = 20π. The approximate value of π is 3.14, so the circumference of the clock is approximately 20(3.14) = 62.8m.

To find the circumference (C) of a round wall clock, you can use the formula C = 2πr, where π (pi) is approximately 3.14 and r is the radius of the clock. In this case, the radius is given as 10 meters. Substituting this value into the formula, the circumference is calculated as C = 2 * 3.14 * 10 meters, which equals 62.8 meters.

Therefore, the circumference of Mike's round wall clock is approximately 62.8 meters. This value represents the total distance around the edge or perimeter of the circular clock face.

Answer:4w

Step-by-step explanation:

To find the greatest common factors of 12w and 8w

Using product of prime factor we get

12w=2×2×3×w

8w=2×2×2×w

Common factors

=2×2×w

=4w

Answer:

4w.

Step-by-step explanation:

12w and 4w:

The GCF of 12 and 8 = 4.

So the answer is 4w.

Answer:

The number of times coin thrown was 500.

Step-by-step explanation:

Relative\ frequency=\frac{Number\ of\ lands\ on\ heads}{Number\ of\ times\ coin\ thrown}

0.4=\frac{200}{x}

By cross multiplying we get:

0.4x=200

Dividing both sides by 0.4 we get:

x=500.

Answer: 7.5×10^-4

Step-by-step explanation:

0.00075

Scientific notation means standard form

There are 3 zeros in front of the 7

So take the decimal to the back of 7

You have

7.5

Since you are counting backward, it will be negative

So we have

7.5×10^-4

Answer:

[tex]7.5 * 10^{-4}[/tex]

Step-by-step explanation:

Scientific notation is basically taking a decimal number and writing it as the product of a number between 1 and 10 (including 1 but excluding 10) and a power of 10.

Here, to get a number between 1 and 10, we see that 7.5 could work. However, if we have 7.5, we're disregarding all the zeros that came before it, which can't work. So, we need to take those into account by dividing 7.5 by 10000, which is the same as multiplying 7.5 by [tex]10^{-4}[/tex].

Thus, our final answer is the scientific notation: [tex]7.5 * 10^{-4}[/tex].

Answer:

Step-by-step explanation: The general form of a reciprocal function is r(x) = a / (x - h) + k. The graphs of reciprocal functions are made up of branches, which are the two main parts of the graph; and asymptotes, which are horizontal and vertical lines that the graph approaches but doesn't touch.

Answer:

Burger Bistro would be better at 8+ hours. Cheeseburger City would be better at 1-7 hours.

Step-by-step explanation:

Answer:

If you were working either 8-12 hours a day it would be better to work at Burger Bistro. If you multiply 8 by $8 you will get $64 which is more pay then cheese burger city.

Answer:

8 : 12 and 18 : 27

Step-by-step explanation:

5 : 10 and 10 : 15

Divide each by 5

1:2  and 2:3  The ratios are not the same

8 : 12 and 18 : 27

Divide the first by 4   and the second by 9

2:3  and 2:3  This is a proportion

9 : 15 and 24 : 30

Divide the first by 3 and the second by 6

3:5 and 4:5  The ratios are not the same

6 : 20 and 7 : 30

Divide the first by 2 and leave the second alone

2:10 and 7: 30  The ratios are not the same

Answer:

B. 8 : 12 and 18 : 27

Step-by-step explanation:

8 : 12

Reduces to

2 : 3

18 : 27

Reduces to

2 : 3

Same simplified ratio, hence proportional

Answer:

There are 36 cubes

Step-by-step explanation:

Answer:

18 cm or 36 cubes

Step-by-step explanation:

hxlxb

h=3

l=3

b=4

3x3x4

36

36 divided by 2 since each cube is half

18

SSS (Side-Side-Side) requires three pairs of equal sides to prove triangle congruence, while SAS (Side-Angle-Side) requires two pairs of equal sides and one pair of equal included angles.

In mathematics, specifically in geometry, SSS (Side-Side-Side) and SAS (Side-Angle-Side) are two methods used to determine if two triangles are congruent. Congruent triangles are triangles that have the same size and shape.

SSS (Side-Side-Side)

The SSS criterion states that if all three sides of one triangle are respectively equal in length to all three sides of another triangle, then the two triangles are congruent. You do not need to know any angle measurements.

SAS (Side-Angle-Side)

The SAS criterion states that if two sides and the included angle (the angle between the two sides) of one triangle are equal to two sides and the included angle of another triangle, then the two triangles are congruent.

To distinguish between the two, remember that for SSS you're comparing three sides, and for SAS you're comparing two sides and the angle that is between them.

Answer:

The venn diagram is not included in the question, but il try to answer it in a general way.

We have a sample of 25 persons.

7 of them like hiphop.

13 of them like pop

8 of them do not like neither.

So in our Venn diagarm we will have two circles, one for the students that like pop and other for the students that like hip-hop.

in the pop circle we have 13 students, in the circle of hiphop we have 7 students, and outside both circles we have 8 stundents.

Now, if we add it all we get:

13 + 7 + 8 = 28,

But we have 25 students, this means that 3 of the students like both genres, hip hop and pop.

Then the circles of hip hop and pop must have an intersection, and in the intersection we must have 3 students.

Answer:C

Step-by-step explanation:

Answer: P(G) = 1/4

P(M) = 1/3

P(G and M) = 1/12

P(G or M) = 1/2

Step-by-step explanation:

Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.

The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

The degree to which something is likely to happen is basically what probability means.

Given:

Total Students Surveyed = 120

30 have a goldfish, 40 have a mouse, and 10 have a goldfish and a mouse.

First, the the probability that a student in the class has a goldfish

P(G) = 30/ 120

        = 1/4

second, the probability that a student in the class has a mouse

P(M) = 40/120

       =  1/3

Third, the probability that a student in the class has a goldfish and a mouse

P(G and M) = 1/4 x 1/3

                  =  1/12

Fourth  the probability that a student in the class has a goldfish or a mouse

P(G or M) = P(G)+ P(M) - P( G and M)

                = 1/3+ 1/4 - 1/12

                = 6/12

                = 1/2

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Answer:

5 Months start with"J" or "M"

January March May June July

So the probability of a randomly selected month beginning with J or M is

5 / 12

Step-by-step explanation:

Answer: C 5/12

Step-by-step explanation:

EDGE (GOT RIGHT) (:

Answer:

Option K

m is an odd integer and n is an even integer​

Step-by-step explanation:

The sum of intergers when one is even and another is odd results into an even number. Take for example, if x is even and the next number x+1 their sum will be 2x+1. The presence of +1 at the end shows the number is not divisible by 2 hence an odd number.

Practically, if you add 2+3=5 and 2 is even number while 3 is odd, clearly the sum being 5 is an odd number.

Otherwise, if you add two even numbers or two odd numbers the sum will be an even number.

Even numbers can be divided by 2 without leaving a remainder, while odd numbers can't.

The true condition is condition K: m is an odd integer and n is an even integer​

If m is odd and n is odd, then the sum will be even

This means that: Conditions F, G and H cannot be true

As an illustration, we have:

[tex]m + n= 5+ 7[/tex]

[tex]m + n= 12[/tex]

12 is even.

The result will always be even, provided that m and n are odd numbers.

If m is even and n is even, then the sum will be even

This means that: Conditions J cannot be true

As an illustration, we have:

[tex]m + n = 6 + 8[/tex]

[tex]m + n =14[/tex]

14 is even.

The result will always be even, provided that m and n are even numbers.

If m is odd and n is even, then the sum will be odd

This means that: Conditions K is true

As an illustration, we have:

[tex]m + n = 6 + 7[/tex]

[tex]m + n = 13[/tex]

13 is odd.

The result will always be odd, provided that m is odd while, n is even.

Hence: the true condition is:

K. m is an odd integer and n is an even integer​

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Answer:where is the equation

Step-by-step explanation:

Given:

m∠WYX = 20°

m∠XYZ = 135°

To find:

The measure of arc WXZ.

Solution:

m∠WYZ = m∠WYX + m∠XYZ

m∠WYZ = 20° + 135°

m∠WYZ = 155°

The measure of inscribed angle is half of the intercepted arc.

[tex]$\Rightarrow m \angle WYZ = \frac{1}{2} m (ar WXZ)[/tex]

[tex]$\Rightarrow 155^\circ = \frac{1}{2} m (ar WXZ)[/tex]

Multiply by 2 on both sides.

[tex]$\Rightarrow 2\times 155^\circ = 2 \times \frac{1}{2} m (ar WXZ)[/tex]

[tex]$\Rightarrow 310^\circ = m (ar WXZ)[/tex]

The measure of arc WXZ IS 310°.

Answer:

14

Step-by-step explanation:

Answer:

Given

m - 7 = 17

m = 17 +7

Therefore m = 24

Answer:

m=24

Step-by-step explanation:

Since m-7=17

We are to find the value of m

And this can be done by making m the subject of formula

So m-7=17

Add 7 to both sides

m=17+7

m=24

Therefore m is 24

Answer:

7.00

Step-by-step explanation:

discount = original price *20%

final price = original price - discount

Substituting the equation for discount

final price = original price - original price*20%

Factoring out the original price

final price = original price (1-20%)

Changing to decimal form and putting the final price

5.60 = original price (1-.2)

5.60 = original price (.8)

Divide by each side by .8

5.6/.8 = original price (.8)/.8

7 = original price

Answer:

The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

b) The probability of drawing exactly one blue marble = 0.46875

Step-by-step explanation:

Complete Question

A bag contains red and blue marbles, such that the probability of drawing a blue marble is 3/8. an experiment consists of drawing a marble, replacing it, and drawing another marble. The two draws are independent. A random variable assigns the number of blue marbles to each outcome.

To write the Probabilty mass function, we have to establish that in two draws with replacement, the possible number of blue marbles that can be drawn is 0, 1 and 2.

Probability of drawing a blue marble = P(B) = (3/8)

Probability of not drawing a blue marble = P(B') = 1 - (3/8) = (5/8)

- Probability of drawing 0 blue marbles in 2 draws with replacement = P(B') × P(B') = (5/8) × (5/8) = (25/64) = 0.390625

- Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

- Probability of drawing two blue marble in 2 draws with replacement = P(B) × P(B)

= (3/8) × (3/8) = (9/64) = 0.140625

The probability mass function of random variable X which represents the number of blue marbles draan in 2 draws with replacement.

X | P(X)

0 | 0.390625

1 | 0.46875

2 | 0.140625

b) Probability of drawing one blue marble in 2 draws with replacement

= [P(B) × P(B')] + [P(B') × P(B)]

= (2) × (3/8) × (5/8) = (30/64) = (15/32) = 0.46875

Hope this Helps!!!

The exponential functions have the form f(x) = bˣ where b> 0 and b≠0.

Step-by-step explanation:

Exponential function is given in the form of f(x)= bˣ

When working with the inverse of a function, the inputs (x) and outputs(y) exchange their places and the inverse will be the reflection over the identity line y= x

The example of exponential function is the growth of bacteria. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours and it is written as f(x) = 2x.  

The exponential function will be bigger than the polynomial and it always have the positive number other than 1 as the base.

The instantaneous rate of change of a quantity with respect to time is proportional to the quantity by itself.

Answer:

Bugs bunny did both

Step-by-step explanation:

B

Bugs Bunny dug faster than Mr. Mole since his digging rate is -0.8 meters per minute compared to Mr. Mole's -0.6 meters per minute. Bugs Bunny also started at a higher altitude compared to Mr. Mole. This comparison involves understanding the rates of change from given functions and data points.

To determine who dug faster between Mr. Mole and Bugs Bunny, we need to compare their digging rates.

Comparing Digging Rates

Mr. Mole's altitude function is given by A = -4 - 0.6t. The rate at which Mr. Mole digs is represented by the coefficient of t, which is -0.6 meters per minute.

Since Bugs Bunny's rate is -0.8 meters per minute and Mr. Mole's rate is -0.6 meters per minute, **Bugs Bunny dug faster**.

Comparing Starting Altitudes

Comparing their initial altitudes:

Mr. Mole's initial altitude is -4 meters (when t = 0).

From the table, Bugs Bunny's initial data point is at time 2 minutes, altitude -1.6 meters. To find his initial altitude, we assume constant rate from this point backward:

(-1.6 meters at 2 minutes) + (0.8 meters/minute × 2 minutes) = -1.6 + 1.6 = 0 meters

Thus, Bugs Bunny started at a higher altitude.

Answer:

Step-by-step explanation:

36/24 or 3/2

Answer:

23%

Step-by-step explanation:

Answer:

These patterns recur in different contexts and can sometimes be modelled mathematically. Natural patterns include symmetries, trees, spirals, meanders, waves, foams, tessellations, cracks and stripes. Early Greek philosophers studied pattern, with Plato, Pythagoras and Empedocles attempting to explain order in nature.

Hope this Helps!

Sincerely; Victoria <3

Answer:

180

Step-by-step explanation:

spr is one line and qp is another in a perpendicular position

∠QPR has a measure of 61°

A linear pair of angles is formed when two lines intersect at a single point. Angles are referred to as linear if they follow the intersection of the two lines in a straight line. The sum of the angles in a pair of linear equations is always 180°. 

As per the given data:

From a horizontal line, a line is drawn such that it forms 2 angles, one ∠SPR = 119 degrees and one ∠QPR.

We have to find out the value of ∠QPR.

As the line is drawn from a horizontal line, it forms a linear pair.

From the linear pair property, the sum of the angles must be equal to 180 degrees as the line is horizontal.

After using the aforementioned property:

∠SPR + ∠QPR = 180°

119 + ∠QPR = 180

∠QPR = 180 - 119

∠QPR = 61°

Hence, The measure of angle ∠QPR is 61 degrees.

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(The given question is incomplete, the complete question is given below)

Answer:

B. WR, WB, WG, RB, RG, BG

Step-by-step explanation:

It's only asking for how many color combos you can get, so you multiply 4 by 3, then divide by 2, to get the 6 different combinations.