For the standard normal probability distribution, the area to the right of the mean is 1. 1 2. 3.09 3. 1.96 4. 0.5

Answer:

-24

Step-by-step explanation:

Order of operations, so multiply things first.

7*0 = 0

6 * -4 = -24

Add them together.

0 + -24 = -24

Answer:

-24

Step-by-step explanation:

7×0+6×-4

6×-4=-24

Answer:

74

Step-by-step explanation:

87-13=74

Answer:

Sydeny is 50 years old

Step-by-step explanation: To find the area of the circle,

start with the formula for the area of a circle, which is \(A = \pi r^{2}\).

Notice that our circle has a radius of 8 units.

So plugging into the formula, we have (π)(8 units)².

Now, (8 units)² is equal to 8 units × 8 units or 64 units².

So we have 64π units² which is an exact answer.

Answer:  1/9 of the bag

Step-by-step explanation:

The amount of coal left is 1 /3 of a bag.

They plan to cook 3 meals with this quantity.

The fraction they will use for each meal can be found by the following formula:

= Amount of Coal left / Number of meals to be cooked

= 1 / 3 ÷ 3

= 1 / 3 * 1/3

= 1/9 of the bag

(a) For the function f: R⁴ → R² given by the rule 2x + y - 1 = z + w. f is not a constant linear transformation (b) For the function g: R⁴ → R² given by the rule g(x, y, z, w) = (3 - 0, 3 - 0) = (3, 3). g is not a linear transformation (c) An example of a constant linear transformation is the zero transformation. It is linear (d) It is not possible to find another example of a constant linear transformation from R¹ to R². It cannot fulfill the requirement of mapping

(a) For the function f: R⁴ → R² given by the rule 2x + y - 1 = z + w, let's compute f(e₁) and f(e₂), where e₁ and e₂ are the standard basis vectors in R⁴. When we substitute e₁ = (1, 0, 0, 0) into the function, we get f(e₁) = (2(1) + 0 - 1, 0 + 0) = (1, 0).

Similarly, when we substitute e₂ = (0, 1, 0, 0) into the function, we get f(e₂) = (2(0) + 1 - 1, 0 + 0) = (0, 0). Therefore, f(e₁) = (1, 0) and f(e₂) = (0, 0). To determine if f is a constant linear transformation, we need to check if it is constant and linear. Since f(e₁) = (1, 0) and f(e₂) = (0, 0), we can see that the function gives different outputs for different inputs, so it is not constant. Therefore, f is not a constant linear transformation.

(b) For the function g: R⁴ → R² given by the rule g(x, y, z, w) = (3 - 0, 3 - 0) = (3, 3), we can see that g gives the same output (3, 3) for any choice of x, y, z, w. Hence, g is constant.

To determine if g is a linear transformation, we need to check if it satisfies the properties of linearity. In this case, g does not satisfy the property of linearity because it does not preserve vector addition or scalar multiplication. Therefore, g is not a linear transformation.

(c) An example of a constant linear transformation is the zero transformation. It is defined as T: Rⁿ → Rᵐ, where T(x) = 0 for all x in Rⁿ. This transformation assigns the zero vector to every input vector. It is constant because it gives the same output (the zero vector) regardless of the input. Additionally, it is linear because it preserves vector addition and scalar multiplication.

(d) It is not possible to find another example of a constant linear transformation from R¹ to R². This is because any linear transformation from R¹ to R² must take a one-dimensional space (a line) to a two-dimensional space (a plane). Since a constant transformation maps every input to the same output, it cannot fulfill the requirement of mapping a line to a plane.

Learn more about scalar multiplication here: brainly.com/question/31372882

#SPJ11

Answer:

y=-1/3x + 17/3

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y=mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Let me know if you have any questions, hope this helps! (:

The relative wind speed will the person sense is -5.2mph.

Speed can be explained as the  distance traveled per unit of time which is how the object is moving, and it is a  scalar quantity  having magnitude of the velocity vector.

Speed of man  =2.95 mph

Speed of wind  =-2.25 mph

Relative wind speed V_R is mathematically given directly as

Vr= Vw-Vm

=-2.25 mph -2.95 mph

= -5.2mph

Therefore, relative wind speed will the person sense is -5.2mph.

Learn more about speed on:

https://brainly.com/question/20815056

#SPJ4

The value of the principal investment is given as follows:

$5,725.90.

The amount of money earned, in compound interest, after t years, is given by:

\(A(t) = P\left(1 + \frac{r}{n}\right)^{nt}\)

In which:

The parameters for this problem are given as follows:

t = 15, A(t) = 12065.51, r = 0.05, n = 4.

Hence the principal can be obtained as follows:

P(1 + 0.05/4)^(4 x 15) = 12065.51

2.1072P = 12065.51

P = 12065.51/2.1072

P = $5,725.90

More can be learned about compound interest at https://brainly.com/question/24274034

#SPJ1

Here are all the ways of halving a 4x4 pinboard to get two identical pieces, with lines that join 2 dots and must be straight.

Diagonal halving: This is the most obvious way to halve a 4x4 pinboard, and it can be done in two ways:

45-degree diagonal halving: This is the traditional way of halving a square, and it is done by drawing a line connecting the top-left and bottom-right dots, or the top-right and bottom-left dots.

Other diagonal halving: This is a less common way of halving a square, and it is done by drawing a line connecting any two opposite dots that are not diagonally adjacent.

Vertical halving: This can be done in two ways:

Vertical halving through center: This is done by drawing a line connecting the two center dots vertically.

Vertical halving through side dot: This is done by drawing a line connecting a side dot and the center dot on the opposite side.

Horizontal halving: This can be done in two ways:

Horizontal halving through center: This is done by drawing a line connecting the two center dots horizontally.

Horizontal halving through side dot: This is done by drawing a line connecting a side dot and the center dot on the opposite side.

In total, there are 6 ways of halving a 4x4 pinboard to get two identical pieces. These are the only possible ways, as any other line would either not divide the square in half, or would create two unequal pieces.

Learn more about having on

https://brainly.com/question/168482

#SPJ1

Answer:

\({ \sf{a = { \blue{ \boxed{{53 \: \: \: \: \: \: \: \: }}}}} \: cm}\)

Step-by-step explanation:

\( { \mathfrak{formular}}\dashrightarrow{ \rm{4 \times side \: length}}\)

Each side has length of a?

\({ \tt{perimeter = a + a + a + a}} \\ \dashrightarrow{ \tt{ \: 212 = 4a}} \\ \\ \dashrightarrow{ \tt{4a = 212}} \: \\ \\ \dashrightarrow{ \tt{a = \frac{212}{4} }} \: \: \\ \\ { \tt{a = 53 \: cm}}\)

Answer: okay i will help you :)

Step-by-step explanation I think while riding is the best company because $400 you can get a lot of pencils and it's not $144 for a hundred pencils and I think that's the best answer because you get more pencils but the other one give you more pencils but it's more so I think it's this one because you can a 100 pencil fo 40.. dollars so i think it is the first answer hope this helps :)

1) The Future Value (FV) of $300 invested at an annual rate of 7% for 5 years is approximately $420.77.

2) The Present Value (PV) of receiving $10,000 in 8 years with an annual interest rate of 4% is approximately $7,346.88.

3) You need to put approximately $4,937.17 in the savings account today to have $6,000 as a down payment in four years.

4) You will have approximately $8,103.38 in the savings account after three years.

1) To calculate the Future Value (FV) of $300 invested at an annual rate of 7% for 5 years, we can use the formula:

FV = PV(1 + r\()^t\)

Where:

PV = $300 (Present Value)

r = 7% (Annual interest rate expressed as a decimal, i.e., 0.07)

t = 5 years

Putting in the values, we get:

FV = $300(1 + 0.07)⁵

FV = $300(1.07)⁵

FV = $300(1.402551)

FV ≈ $420.77

Therefore, the Future Value (FV) of $300 invested at an annual rate of 7% for 5 years is approximately $420.77.

2) To calculate the Present Value (PV) of receiving $10,000 in 8 years with an annual interest rate of 4%, we can use the formula:

PV = FV/(1 + r\()^t\)

Where:

FV = $10,000 (Future Value)

r = 4% (Annual interest rate expressed as a decimal, i.e., 0.04)

t = 8 years

Putting in the values, we get:

PV = $10,000/(1 + 0.04)⁸

PV = $10,000/(1.04)⁸

PV = $10,000/1.3604878

PV ≈ $7,346.88

Therefore, the Present Value (PV) of receiving $10,000 in 8 years with an annual interest rate of 4% is approximately $7,346.88.

3) To determine how much you need to put in a savings account today to have $6,000 as a down payment in four years, considering an annual interest rate of 5%, we can use the formula for Present Value (PV):

PV = FV/(1 + r\()^t\)

Where:

FV = $6,000 (Future Value)

r = 5% (Annual interest rate expressed as a decimal, i.e., 0.05)

t = 4 years

Putting in the values, we get:

PV = $6,000/(1 + 0.05)⁴

PV = $6,000/(1.05)⁴

PV = $6,000/1.21550625

PV ≈ $4,937.17

Therefore, you need to put approximately $4,937.17 in the savings account today to have $6,000 as a down payment in four years.

4) To calculate the amount of money you will have in the savings account after three years with an initial deposit of $7,000 and an annual interest rate of 5%, we can use the Future Value (FV) formula:

FV = PV(1 + r\()^t\)

Where:

PV = $7,000 (Present Value)

r = 5% (Annual interest rate expressed as a decimal, i.e., 0.05)

t = 3 years

Putting in the values, we get:

FV = $7,000(1 + 0.05)³

FV = $7,000(1.05)³

FV = $7,000(1.157625)

FV ≈ $8,103.38

Therefore, you will have approximately $8,103.38 in the savings account after three years.

Learn more about Present Value at

brainly.com/question/28304447

#SPJ4

1) The future value of $300 invested at an annual rate of 7% for 5 years is approximately $420.76.

2) The present value of receiving $10,000 in 8 years with an annual interest rate of 4% is approximately $7,346.77.

3) You need to put approximately $4,936.89 in the savings account today to have a down payment of $6,000 for a car in four years, assuming an annual interest rate of 5%.

4) After three years, you will have approximately $8,103.41 in the savings account, given an initial deposit of $7,000 and an annual interest rate of 5%.

1) To calculate the future value (FV) of $300 invested at an annual rate of 7% for 5 years, we can use the Future Value formula: \(FV = PV(1+r)^t.\)

In this case, PV (present value) is $300, r (annual interest rate) is 7% (or 0.07 as a decimal), and t (number of years) is 5.

Substituting the values into the formula, we have FV = $300(1+0.07)^5.

Calculating the value inside the parentheses, we get 1+0.07 = 1.07.

Raising 1.07 to the power of 5, we find that \((1.07)^5\) = 1.40255.

Finally, multiplying $300 by 1.40255, we get the future value (FV) as $420.76.

Therefore, the future value of $300 invested at an annual rate of 7% for 5 years is approximately $420.76.

2) To determine the present value (PV) of receiving $10,000 in 8 years with an annual interest rate of 4%, we can use the Present Value formula: \(PV = FV/(1+r)^t\).

In this case, FV (future value) is $10,000, r (annual interest rate) is 4% (or 0.04 as a decimal), and t (number of years) is 8.

Substituting the values into the formula, we have PV = \($10,000/(1+0.04)^8.\)

Calculating the value inside the parentheses, we get 1+0.04 = 1.04.

Raising 1.04 to the power of 8, we find that (1.04)^8 = 1.36049.

Finally, dividing $10,000 by 1.36049, we find the present value (PV) to be approximately $7,346.77.

Therefore, the present value of receiving $10,000 in 8 years with an annual interest rate of 4% is approximately $7,346.77.

3) To calculate how much you need to put in a savings account today to have a down payment of $6,000 for a car in four years, assuming an annual interest rate of 5%, we can use the Present Value formula: PV = \(FV/(1+r)^t.\)

In this case, FV (future value) is $6,000, r (annual interest rate) is 5% (or 0.05 as a decimal), and t (number of years) is 4.

Substituting the values into the formula, we have PV = $6,000/(1+0.05)^4.

Calculating the value inside the parentheses, we get 1+0.05 = 1.05.

Raising 1.05 to the power of 4, we find that\((1.05)^4\) = 1.21551.

Finally, dividing $6,000 by 1.21551, we find that the present value (PV) needed to achieve a future value of $6,000 in four years is approximately $4,936.89.

Therefore, you need to put approximately $4,936.89 in the savings account today to have a down payment of $6,000 for a car in four years, assuming an annual interest rate of 5%.

4) To determine how much money you will have in the savings account after three years, given an initial deposit of $7,000 and an annual interest rate of 5%, we can use the Future Value formula: \(FV = PV(1+r)^t\).

In this case, PV (present value) is $7,000, r (annual interest rate) is 5% (or 0.05 as a decimal), and t (number of years) is 3.

Substituting the values into the formula, we have FV = $7,000(1+0.05)^3.

Calculating the value inside the parentheses, we get 1+0.05 = 1.05.

Raising 1.05 to the power of 3, we find that \((1.05)^3\) = 1.15763.

Finally, multiplying $7,000 by 1.15763, we find that the future value (FV) after three years is approximately $8,103.41.

Therefore, after three years, you will have approximately $8,103.41 in the savings account, given an initial deposit of $7,000 and an annual interest rate of 5%.

Learn more about  future value from this link:

https://brainly.com/question/30390035

#SPJ11

Answer:

Step-by-step explanation:

Answer: 45 cm

Step-by-step explanation:

Assuming the rectangles r put together as per the attached picture.

length = 6+3 = 9 cm

Width = 3+3 = 6cm

Perimeter = 2(l+w)

P = 3(9+6)

P = 3 * 15

P = 45 cm

The angle of depression from the man to the tree will be 64.46°.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A man standing on the top of a building. He knows that he is 180 ft up in the building. The tree is 86 ft from the base of the building.

The angle of the depression is calculated as,

tan θ = 180 / 86

tan θ = 90 / 43

θ = tan⁻¹ (90 / 43)

θ = 64.46°

The angle of depression from the man to the tree will be 64.46°.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

#SPJ1

(a) The number of pathways in the plane from point (0, 0) to point (110, 111) when each step consists of walking one unit up or one unit to the right is known as the number of ways to go to a point in a grid using just right and up moves.

This is a classic combinatorial problem known as a binomial coefficient. The binomial coefficient C(110+111, 110) = C(221, 110) = 221!/(110!111!) is the number of ways to travel from (0, 0) to (110, 111).

(b) The number of paths from (0, 0) to (210, 111) where each step consists of walking one unit up or one unit to the right and the path must pass through (110, 111) is the product of two binomial coefficients.

First, as calculated in section 1, the number of pathways from (0, 0) to (110, 111) is C(110+111, 110) = C(221, 110). Second, there are C(210+211, 210) ways to get from (110, 111) to (210, 111). (210, 211). (421, 210). C(221, 110) * C is the total number of paths found by multiplying these two binomial coefficients (421, 210).

To learn more about Binomial coefficients:

https://brainly.com/question/14216809

https://brainly.com/question/23478253

#SPJ4

x(t) = \(c_1e^1^4^t+c_2e^-^t\)  , y(t) = \(2c_1e^1^4^t-c_2e^-^t\)   is the general solution of the sytem of differention eqution dx/dt = 4x+ 5y , dy/dt = 10x + 9y .

given  dx/dt = 4x+ 5y  and dy/dt = 10x + 9y

X'(t) = \(\left[\begin{array}{ccc}4&5\\10&9\end{array}\right]\)  X

where X = \(\left[\begin{array}{ccc}x\\y\\\end{array}\right]\)

so A = \(\left[\begin{array}{ccc}4&5\\10&9\end{array}\right]\)

now we need to find eigen value of the matrix and the corresponding eigen vector.

| A- λI | = 0

so after equation the value to zero

λ = 14 and λ = -1

now for the  λ = 14 corresponding eigen vector = \(\left[\begin{array}{ccc}1\\2\\\end{array}\right]\)

for λ = -1 corresponding eigen vector =  \(\left[\begin{array}{ccc}1\\-1\\\end{array}\right]\)

So general equation is given by:

X(t) = \(c_1e^1^4^t\)  \(\left[\begin{array}{ccc}1\\2\\\end{array}\right]\)  +  \(c_2e^-^t\)   \(\left[\begin{array}{ccc}1\\-1\\\end{array}\right]\)

after solving this

x(t) = \(c_1e^1^4^t+c_2e^-^t\)

y(t) = \(2c_1e^1^4^t-c_2e^-^t\)

To know more about Eigen value click below:

https://brainly.com/question/29565569#

#SPJ4

Answer:

t

Step-by-step explanation:

djjwnzbsiwnnkwnxojex

a. i. There are 27,040,000 different passwords are possible if repetition of digits and letters is allowed and passwords are not case sensitive  (so 123AB is the same as 123aB)

ii. There will be 99,532,800  different passwords are possible if repetition of digits and letters is not allowed and the passwords are case-sensitive

b. i. The probability that all 4 randomly selected students were math majors is  0.520

ii. There are 4,725 different pairs of math majors that could be chosen for the committee.

a. i) There are 10 choices for each of the first 3 digits, and 26 choices for each of the last 2 letters. Since the password is not case sensitive, we can choose either uppercase or lowercase letters, so there are 26 + 26 = 52 choices in total for each letter. Therefore, the total number of different passwords is:

10 x 10 x 10 x 52 x 52 = 27,040,000

ii) There are 10 choices for the first digit, 9 choices for the second digit (since we can't repeat the first digit), 8 choices for the third digit (since we can't repeat the first two digits), and 52 choices for the first letter. For the second letter, there are 51 choices left (since we can't repeat the first letter), but we need to distinguish between uppercase and lowercase letters, so there are 52 x 51 = 2,652 choices for the two letters in total. Therefore, the total number of different passwords is:

10 x 9 x 8 x 52 x 2,652 = 99,532,800

b) i) The total number of ways to select a 4-student committee from 20 students is:

20 choose 4 = 4,845

The number of ways to select a committee consisting of 4 math majors is:

10 choose 4 = 2,520

Therefore, the probability that all 4 randomly selected students were math majors is:

2,520 / 4,845 = 0.520

ii) The number of ways to select a 4-student committee with exactly two math majors is:

(10 choose 2) x (10 choose 2) x (15 choose 0) = 4,725

(We choose 2 math majors from 10, and 2 non-math majors from 15, since there are 5 biology majors and 5 music majors to choose from.)

Therefore, there are 4,725 different pairs of math majors that could be chosen for the committee.

Learn more about password at https://brainly.com/question/17155568

#SP11

Answer:

$3000

Step-by-step explanation:

The computation of the total medical bill is shown below:

Let us assume the total medical bill be $x

For plan 1,

As he pays 10% of x, So 10% of x - (1)

For plan 2 ,

As he pays 5% of x + 150, that is 0.05 of x + 150 - (2)

Now equate both the equations

0.10x = 0.05x + 150

0.05x=150

x = $3000

Total medical bill = $ 3000

Answer:

everytime the x goes up by 3, the y goes down by 3

Step-by-step explanation:

The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.

The linear regression is a linear approach for modelling the relationship between a scalar response and one or more explanatory variables.

A slope of a line is the change in y coordinate with respect to the change in x coordinate.

Consider the slope of the line as m

m= Change in y coordinate / Change in x coordinate

When change in x coordinate is 1 unit

Then,

m= Change in y coordinate

If the change in x is 1 unit, then slope of the line will change depends on change in y coordinate

Hence, The interpretation for the slope of the linear regression prediction equation is change in y with a unit change in x.

Learn more about The linear regression here

brainly.com/question/14313391

#SPJ4

To solve the initial-value problem 2xy' y = 6x, x > 0, y(4) = 24, we first need to separate the variables and integrate both sides.

Starting with the initial-value problem 2xy' y = 6x, we divide both sides by 2xy to get y'/y = 3/x.

Now, we integrate both sides with respect to x:
∫(y'/y) dx = ∫(3/x) dx
=> ln|y| = 3ln|x| + C
where C is the constant of integration.

Next, we can solve for y by exponentiating both sides:
|y| = e^(3ln|x|+C)
=>|y| = e^C * e^(ln|x|^3)
=>|y| = kx^3
where k = ± e^C.

To find the specific value of k, we can use the initial condition y(4) = 24:
|24| = k(4)^3
=>k = 3/8

So, the solution to the initial-value problem is:
y = 3/8 x^3 for x > 0, y(4) = 24.

Learn more about initial-value problem at: https://brainly.com/question/30883066

#SPJ11

We have established that the answer to the equation,  \(x = 24/7\) , is that the left side equals the right side.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation \(3x + 5 = 14\)  consists of the two equations  \(3x + 5\) and 14, which are separated by the 'equal' sign.

The equation is as follows:

\(\frac{1}{2}\times (x-2)+ 1+2/3x-3\)

This equation can be made simpler by first merging like terms:

\(\frac{1}{2}\times (x-2)+ 1+2/3x-3\)

\(= 1/2x + 2/3x - 4\)

\(= 7/6*x - 4\)

As a result, the equation becomes \(7/6*x - 4 = 0.\)

We can now get the value of x by multiplying both sides by 6/7 after adding 4 on both sides: \(7/6*x = 4 x = 24/7.\)

We rewrite the original equation with x = 24/7 to confirm the solution:

\(1/2*(24/7-2)+1+2/3(24/7)-3\)

\(= 1/2*(10/7)+1+16/21-3\)

\(= 5/7+1-2/3\)

\(= 6/7\)

Therefore, 6/7 demonstrates the equality.

Learn more about algebra here:

https://brainly.com/question/953809?

#SPJ1

To find a parametric equation for the line of intersection of two planes, we need to solve a system of equations formed by the equation of the two planes.

To find a parametric equation for the line of intersection of two planes, we need to solve a system of equations formed by the equation of the two planes. The equation of a plane is given by Ax + By + Cz + D = 0, where A, B, C and D are constants. We can then form a system of equations by equating the coefficients of x, y and z from both equations. Solving the system of equations gives the parametric equation of the line of intersection of the two planes. The parametric equation can be written as x = x0 + at, y = y0 + bt, and z = z0 + ct, where x0, y0 and z0 are constants and a, b, and c are non-zero constants. This equation gives the coordinates of any point on the line of intersection of the two planes, which is determined by the constants x0, y0, z0 and a, b, c.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Answer:

1740 N

Step-by-step explanation:

To find the force, you need to multiply the mass by the acceleration.

(60.0 kg) × (29.0 m/s²) = 1740 N

The force will be 1740 N.

Answer:

B. Selling treasury securities

Step-by-step explanation:

I'm taking the quiz

The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.

Therefore, the correct answer exists as option B. Selling treasury securities.

To learn more about Federal Reserve refer to:

https://brainly.com/question/382312

#SPJ2

Number of bowls that Laura can make with 10lbs of clay is 16

To find out how many bowls Laura can make, we need to divide the amount of clay she has by the amount of clay needed to make one bowl.

Let's start by converting the fraction 3/5 into a decimal:

3/5 = 0.6

This means that Laura needs 0.6 lbs of clay to make one bowl.

Now we can divide the total amount of clay Laura has by the amount of clay needed for one bowl:

10 ÷ 0.6 = 16.67

Laura can make 16 complete bowls with 10 lbs of clay, and she will have some clay left over (0.07 lbs to be exact) that is not enough to make another full bowl.

Learn more about division here

brainly.com/question/13239223

#SPJ4

Answer:

110 feet per second

Step-by-step explanation:

You would mutiply your speed in miles per hour by 5,280. That's the number of feet in a mile and your result is your speed in feet per hour.

75 x 5,280 = 396,000 feet per hour

Then you would divide your speed by 60 and that result is your speed in feet per minute.

396,000 / 60 = 6,600 feet per minute

Lastly, you would divide that speed by 60 and the result is your speed in feet per second.

6,600 / 60 = 110 feet per second

The conversion of 75 miles per hour to feet per second is approximately 110 feet per second.

We can do this by using conversion factors that relate the two units. Specifically, we can use the fact that 1 mile equals 5,280 feet and 1 hour equals 3,600 seconds.

To convert miles per hour to feet per second, we need to multiply the value in miles per hour by a conversion factor that will cancel out the "miles" unit and replace it with "feet," and another conversion factor that will cancel out the "hours" unit and replace it with "seconds."

So, first we convert miles per hour to feet per hour by multiplying 75 miles/hour by 5,280 feet/mile.

This gives us:

= 75 miles/hour x 5,280 feet/mile

= 396,000 feet/hour

Next, we convert feet per hour to feet per second by dividing by 3,600 seconds/hour.

This gives us:

=396,000 feet/hour ÷ 3,600 seconds/hour

= 110 feet/second

Therefore, 75 miles per hour is approximately equal to 110 feet per second.

To know more about unit conversion check:

https://brainly.com/question/17540215

#SPJ2