1/3 +1/40 +4/20 +5/12

Answer:

B) 3

Step-by-step explanation:

The (-) represents a flip over the X-Axis.

The |X-5| represents a Horizontal shift right because it's in between the parenthesis.

The 3 represents a positive vertical shift upwards.

The probability of obtaining the same number of heads is 3/8 or 0.375 when each of two persons tosses three fair coins.

The probability that two persons will obtain the same number of heads depends on the number of possible combinations of heads and tails that can be obtained by each person.

Since each coin flip results in either a heads or tails, there are 2 possible outcomes for each flip. Therefore, for three coin flips,

there are 2^3 or 8 possible combinations of heads and tails.

Out of these 8 combinations, there are 3 in which both persons have the same number of heads (i.e., 0 heads, 1 head, or 3 heads).

So, the probability of obtaining the same number of heads is 3/8 or 0.375.

Learn more about probability  :

https://brainly.com/question/30034780

#SPJ4

Answer:

Lamar wants to predict the number of customers who may be interested in going to a music festival when a ticket to the festival costs $25. Using survey data, Lamar drew a line of best fit to make his prediction. Which should Lamar predict to be the number of customers interested in attending the music festival when the ticket price is $25?/

Answer:

4 students

Step-by-step explanation:

32 - 3 = 29

10 + 15 = 25

29 - 25 = 4

Since the percent grade in period 1 was 92% and in period 2 was 96%, then the percent change from period 1 to 2 was 4%.

Since the percent grade in period 2 was 96% and in period 3 was 99%, then the percent change from period 2 to 3 was 3%.

Since 4% is 1% greater than 3%, then the percent change from grading period 1 to 2 was 1% greater than the percent change from grading period 2 to 3.

Therefore, the answer is: 1.0%.

Answer:

1. 18

2. 16

3. 45

4. 72

5. 32

6. 42

7. 20

8. 9

9. 78

10. 4

Answer:

x =answer is 800 m so good luck

Answer:

x=800

Step-by-step explanation:

I think. Not sure.

Answer: Heyaa!

Your Answer Is... 10/3

Step-by-step explanation:

Simplify the expression.

Hopefully this helps you !

- Matthew ~~ ( have an amazing day)

The explicit rule for the mentioned graph is, If the involved variables are correlated, the points will fall along a line or curve.

Scatter plots have been described as one of the most useful inventions in statistical graphs. Scatter plots were originally presented by British scientist John Frederick W. Herschel in 1833. Herschel used it when studying the orbits of binary stars. He plotted the angle of the double star against the measured year. Scatter plots were used to understand the underlying relationship between the two measurements. Bar charts and line charts are commonly used, but scatter charts still dominate the world of science and business. It's very easy to see the points on a scale and understand their relationships.

A scatterplot is a way of displaying data in a graphical format. A simple scatterplot uses axes to plot points based on their values.

Since the cost of safari increases with the number of passengers, it shows the direct and positive correlation between the variables and hence the formation of linear scatter plot.

To know more about scatterplot, visit:

https://brainly.com/question/29231735

#SPJ1

Answer:

1b 2a 3c

Step-by-step explanation:

Its hegarty right?

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

Learn more about charge here:

https://brainly.com/question/18102056

#SPJ11

1. The ratio of shirts Pete pays for to all shirts is 1000.

2. Pete would pay Ana $8.33 for each shirt.

3. Pete would pay Jun $9600 for the shirt.

To determine what Pete would pay Ana for the shirts, we can use the "Buy 5, Get 1 Free" discount. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 (5 shirts paid, and 1 shirt received for free).

To fill in the statements:

1. The ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is ____.

To find the missing value, we can set up the following equation:

5/6 * 1200 = x

Solving for x, we have:

x = (5/6) * 1200 = 1000

So, the ratio of shirts Pete pays for to all the shirts Pete gets is 5:6 of 1200 is 1000.

2. ___ × $10 = $

Pete pays $10 for each shirt. Since the ratio is 5:6, the missing value can be calculated as follows:

5/6 * $10 = $8.33 (rounded to two decimal places)

Therefore, Pete would pay Ana $8.33 for each shirt.

3. What would Pete pay Jun for the shirt?

Pete would pay Jun $8 for each shirt. Since Pete needs 1200 shirts, we can calculate the total amount he would pay Jun as follows:

1200 x $8 = $9600

Therefore, Pete would pay Jun $9600 for the shirts.

Learn more on ratio here;

https://brainly.com/question/2328454

#SPJ1

If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

Know more about Prime numbers here :

https://brainly.com/question/145452

#SPJ11

In mathematics, a closed-formula is a mathematical expression that uses a finite number of standard operations. It may contain constants, variables, and operations etc.

A closed formula is an expression that can be computed by applying a fixed or finite number of standard opertions.

Example; Assume that the first term is a1(16 pts)

(a) 2,6,12,20,30,42,....

(b) 1,5,23,119,719,…

(c) 2,4,6,10,16,26,42,…

(d) 8,12,17,23,30,…

hence the closed formula will be a1=(1+1,1+5,1+11,1+29,1+24)

To learn more about the closed formula,click here

brainly.com/question/12325012

#SPJ4

════════ ∘◦❁◦∘ ════════

════════════════════

x1 = (-4)

y1 = (-3)

x2 = (-5)

y2 = (-6)

════════════════════

slope = gradient (m)

════════════════════

\(m = \frac{y2 - y1}{x2 - x1} = \frac{( - 6) - ( - 4)}{( - 5) - ( - 3)} = \frac{( - 2)}{( - 2)} = 1 \)

════════════════════

The given statement " If A and B are n x n and invertible, then A⁻¹B⁻¹ is the inverse of AB." is true because  A and B are invertible matrices, it means that they both have an inverse (A⁻¹and B⁻¹, respectively). The product of A and B, represented by AB, is also an n x n matrix.

To show that A⁻¹B⁻¹is the inverse of AB, we must demonstrate that the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix, which is an n x n matrix with 1s along the diagonal and 0s elsewhere.
To verify this, we'll multiply (AB) with (A⁻¹B⁻¹) and check if the result is the identity matrix:
(AB)(A⁻¹B⁻¹) = A(BA⁻¹)B⁻¹ (associative property of matrix multiplication)
Since B and A^-1 are inverses of each other, their product equals the identity matrix:

A(BA⁻¹)B⁻¹= AI B⁻¹(where I is the identity matrix)
Multiplying A and I doesn't change A:
AI B⁻¹= A B⁻¹
Now, A and B⁻¹are inverses of each other as well, so their product also equals the identity matrix:
A B⁻¹= I
Thus, A⁻¹B⁻¹ is indeed the inverse of AB, as the product of (AB) and (A⁻¹B⁻¹) results in the identity matrix.

To know more about invertible matrices click here

brainly.com/question/31116922

#SPJ11

Answer:

2 ( a + 7)

Step-by-step explanation:

2a + 14

both 2a and 14 are divisible by 2

2a/a = a

14/2 = 7

2( a + 7) = 2a + 14

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

0

Step-by-step explanation:

h(x) = 3 – 3/x

h(3) = 3 – 3/3

h(3) = 0/3

h(3) = 0

i hope this helped

The function file 'mysolve.m' takes two inputs a and b, calculates the area of the right triangle using the given formula A = 0.5 * a * h and returns the area as output.

To calculate the area of a right triangle, we use the formula A = 0.5 * base * height or A = 0.5 * a * b where a is the length of the leg and b is the length of the hypotenuse.

The function file 'mysolve.m' to calculate the area of the right triangle is given below:

function [area] = mysolve(a,b)h = sqrt(b^2-a^2);area = 0.5*a*h;end

Explanation: The given function takes two input parameters a and b which are the length of the leg and hypotenuse respectively. We first calculate the height h of the triangle using the Pythagorean theorem which is h = sqrt(b^2-a^2). We then use the formula A = 0.5 * base * height to calculate the area of the right triangle where base is a and height is h. Finally, we return the calculated area as output from the function file 'mysolve.m'.

Conclusion: Thus, the function file 'mysolve.m' takes two inputs a and b, calculates the area of the right triangle using the given formula A = 0.5 * a * h and returns the area as output.

To know more about function visit

https://brainly.com/question/21426493

#SPJ11

Answer:

f=2

Step-by-step explanation:

hope this helps you

Answer:

1. 44 GB

2. 12 ft

3a. 49

3b. -155

3c. 6

3d. -53

Answer:

1)44 GB

2)24 FT

3)

A. 49

B. -115

C.6

D.-53

Step-by-step explanation:

For 2 she went down then up to the second floow meaning she is 12x2 ft up the ground, the basement doesnt count

The probability that her trip will take longer than 80 minutes  is 0.20.

The probability that the trip takes longer than 80 minutes is equal to the area of the uniform distribution to the right of 80. Since the distribution is uniform, the area to the right of 80 is equal to the proportion of the total area that is to the right of 80.

The total area under the uniform distribution is equal to the length of the interval, which is (90 - 40) = 50.

The area to the right of 80 is equal to (90 - 80) = 10.

So the probability that the trip takes longer than 80 minutes is:

10 / 50 = 0.2

Therefore, the answer is 0.20.

Learn more about distribution

https://brainly.com/question/31197941

#SPJ4

If in a triangle, a base and a corresponding height are in the ration 5 : 2. the area is. 80 ft². the base of the triangle is 20 ft and the corresponding height is 8 ft.

Let's assume that the base of the triangle is 5x and the corresponding height is 2x where x is a common factor.

The formula for the area of a triangle is :

Area = (1/2) * base * height

Substitute

80 = (1/2) * (5x) * (2x)

80 = 5x²

Dividing both sides by 5:

16 = x²

Taking the square root of both sides:

x = √16

x = 4

Now we can find the base and corresponding height:

Base = 5x = 5 * 4 = 20 ft

Height = 2x = 2 * 4 = 8 ft

Therefore the base of the triangle is 20 ft and the corresponding height is 8 ft.

Learn more about base here:https://brainly.com/question/3948796

#SPJ9

Answer:

its 15 <3

Step-by-step explanation:

i did the quiz.

The cost of each small charcuterie boards is $6 and one medium charcuterie boards is $7.

A mathematical statement known as an equation is made up of two expressions joined together by an equal sign. It is a formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign.

Let small charcuterie boards = c

Let medium charcuterie boards = m

Therefore, the equation will be:

10c + 12m = 144

5c + 9m = 93

Multiply equation i by 5

Multiply equation ii by 10

50c + 60m = 720

50c + 90m = 930

Subtract

30m = 210

m = 210/30

m = 7

Therefore, 5c + 9m = 93

5c + 9(7) = 93

5c + 63 =93

5c = 93 - 63

5c = 30

Divide both sides by 5

c =  30 / 5

c = 6

Therefore, based on the information the cost of each small charcuterie boards is $6 and one medium charcuterie board is $7.

Learn more about equations on:

brainly.com/question/13763238

#SPJ1

She uses 1/2 quart of yellow paint for every 9/2 quarts of blue paint. Then, she uses 1/2 quart of yellow paint for every 1/2 + 9/2 = 10/2 = 5 quart of paint.

We can use the next proportion:

Solving for x:

She uses 1/10 quart of yellow paint for every quart of paint

Answer:3.5

Step-by-step explanation:

Answer:

B it seems like it's the most suitable answer

Answer:

The answer is -285

Step-by-step explanation: