Which type of laboratory is not required to have coved floors (where the floor runs continuous for the wall for a few inches)

The number of seniors that are in the school is 240.

The first step is to determine the number of seniors that prefer gym equipment.

Let:

number of students that prefer gym equipment = x

total number of seniors = number of students that prefer gym equipment + number of seniors that prefer computer

= 160 + x

probability that a senior prefers gym equipment = 1/3

[x / (160 + x)] = 1/3

In order to determine the value of x, take the following steps:

Multiply both sides of the equation by 3.

3x = 160 + x

Combine and add similar terms:

3x - x = 160

2x = 160

x = 160 / 2

x = 80

Total number of seniors = 160 + 80 = 240

Please find attached the complete question. To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

The error Jacy made was that the hypothesis or if part and the conclusion part was not appropriate . The correct conditional statement is  "If water is below 0°C then water freezes."

Conditional statement is a statement which contain both hypothesis and conclusion . Thus there are two parts in conditional statement, first is the hypothesis part or the if part then the second part is the conclusion part or then part.

According to the question the conditional statement is

  " Water freezes if it is below 0°C."

Which is not correct as the error is that the first part should be hypothesis part or if part and the second part should be the conclusion of the hypothesis.

Hence the correct conditional statement is :

      "If water is below 0°C then water freezes."

Learn more about conditional statement here : https://brainly.com/question/1698337

#SPJ9

The values of the requested probabilities are as follows:

P(X = 4) = 25/2

P(X ≤ 1) = 15/2

P(2 ≤ X < 4) = 35/2

P(X > -10) = 53/2.

Given function

f(x)= 75(5x+5) ,x=0,1,2,3,4.

Therefore, the function is a probability mass function.

To determine the requested probabilities, we have to use the following probability mass function formula:

`P(X = k) = f(k)`where `k` is the value of the random variable.

To obtain the requested probabilities, we will calculate the corresponding values of `f(k)`.

a) P(X = 4)

The formula is `P(X = 4) = f(4)`.

Here,`f(4) = 75(5(4) + 5)

= 75(20 + 5)

= 75(25)

= 1875`

So, `P(X = 4) = 1875/150 = 25/2`.

Therefore, `P(X = 4) = 25/2`.

b) P(X ≤ 1) The formula is `P(X ≤ 1) = f(0) + f(1)`.

Here,`f(0) = 75(5(0) + 5)

= 75(5)

= 375` and`f(1) = 75(5(1) + 5)

= 75(10)

= 750`.

So, `P(X ≤ 1) = f(0) + f(1) = 375 + 750 = 1125`.

Therefore, `P(X ≤ 1) = 1125/150 = 15/2`.

c) P(2 ≤ X < 4)The formula is `P(2 ≤ X < 4) = f(2) + f(3)`.

Here,`f(2) = 75(5(2) + 5) = 75(15) = 1125`

`f(3) = 75(5(3) + 5) = 75(20) = 1500`.

So, `P(2 ≤ X < 4) = f(2) + f(3) = 1125 + 1500 = 2625`.

Therefore, `P(2 ≤ X < 4) = 2625/150 = 35/2`.d) P(X > -10)

The formula is `P(X > -10) = f(0) + f(1) + f(2) + f(3) + f(4)`.

Here,`f(0) = 75(5(0) + 5) = 75(5) = 375`

`f(1) = 75(5(1) + 5) = 75(10) = 750``

f(2) = 75(5(2) + 5) = 75(15) = 1125``

f(3) = 75(5(3) + 5) = 75(20) = 1500``

f(4) = 75(5(4) + 5) = 75(25) = 1875`.

So, `P(X > -10) = f(0) + f(1) + f(2) + f(3) + f(4) = 375 + 750 + 1125 + 1500 + 1875 = 6625`.

Therefore, `P(X > -10) = 6625/150 = 53/2`.

The values of the requested probabilities are as follows:

P(X = 4) = 25/2

P(X ≤ 1) = 15/2

P(2 ≤ X < 4) = 35/2

P(X > -10) = 53/2.

Learn more about values from this link:

https://brainly.com/question/11546044

#SPJ11

Answer:

2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

Step-by-step explanation:

Answer:

64 times 7.5 and you will get your answer

Step-by-step explanation:

16*4=64

64*7.5=x

x is what you need to find

Answer:

No comprendo espanol. Yo se un muy poco.

Step-by-step explanation:

Step-by-step explanation:

20/40 is same as 20÷40 which reduces to 1/2.

Answer:

8 and 1

Step-by-step explanation:

The sum means that the two numbers added together make up what they're asking. Difference means you're subtracting between the two. For our purposes, we can just look at each answer option and firstly see which one has a difference of 7.

8-1=7

4-5=-1

6-3=3

9-0=0

And just to double check, we try adding 8 and 1, which is 9! Yay! :P

According to composition table. H satisfies all three conditions of a subgroup and is hence a subgroup of GL2(C).

To verify if H is a subgroup of GL2(C), we need to check if it satisfies the three conditions of a subgroup: closure, associativity, and existence of an identity element and inverses.

We need to check if the product of any two elements in H is also in H. We can construct the composition table by computing the product of each pair of elements in H. For instance, ij = k, ji = -k, ii = jj = -1, and so on. After computing all products, we can verify that they all belong to H.

The composition of three or more elements in H is associative since matrix multiplication is associative.

The identity element is the 2x2 identity matrix (1 0; 0 1), which is in H since ±1 is one of the eight matrices.

We need to check if each element in H has an inverse in H. The inverse of a matrix A in H is its conjugate transpose A*, which is also in H since its entries are complex conjugates of the entries of A. Moreover, the product of a matrix A and its conjugate transpose A* is the 2x2 identity matrix.

Moreover, since H has eight elements, it is a finite group of order eight. This group is known as the quaternion group, and it has many applications in physics, computer graphics, and robotics.

To know more about composition here

https://brainly.com/question/13808296

#SPJ4

The present value of the cash flows is approximately $11,754.04.

To calculate the present value of the cash flows, we need to discount each cash flow to its present value using the appropriate discount rate. The present value (PV) can be calculated using the formula:

PV = CF1 / (1 + r)^1 + CF2 / (1 + r)^2 + CF3 / (1 + r)^3 + ... + CFn / (1 + r)^n

where CF is the cash flow and r is the discount rate.

Using the given discount rate of 9.89 percent per year, we can calculate the present value as follows:

PV = 2,200 / (1 + 0.0989)^1 + 2,600 / (1 + 0.0989)^2 + 4,800 / (1 + 0.0989)^3 + 5,400 / (1 + 0.0989)^4

Calculating each term and summing them up:

PV = 2,200 / 1.0989 + 2,600 / 1.0989^2 + 4,800 / 1.0989^3 + 5,400 / 1.0989^4

PV ≈ 1,999.64 + 2,271.89 + 3,622.82 + 3,860.69

PV ≈ 11,754.04

know more about present value here:

https://brainly.com/question/28304447

#SPJ11

Answer:

x<5

Step-by-step explanation:

Answer:

A graphing calculator can do quadratic regression on the given points. It tells you the cost function is

.. c(x) = (1/2)x^2 +8x +10

Then c(12) = 178

The cost function predicts the total cost of producing 12 camera cases is $178.

Step-by-step explanation:

<3 follow

It's option C

Did the quiz <3

Answer:

10 Km/h

Step-by-step explanation:

Let the speed of the container ship be y

The speed of the aircraft = y + 5

Next, we shall determine the time taken by the aircraft to travel 450 Km. This can be obtained as follow:

Speed of aircraft (Sₐ) = y + 5

Distance travelled (dₐ) = 450 Km

Time for aircraft (tₐ) =?

Speed = distance / time

Sₐ = dₐ / tₐ

y + 5 = 450 / tₐ

Cross multiply

(y + 5) × tₐ = 450

Divide both side by (y + 5)

tₐ = 450 / (y + 5)

Finally, we shall determine the speed of the carrier. This can be obtained as follow:

Speed of container ship (S꜀) = y

Distance travelled (d꜀) = 300 Km

Time for container ship (t꜀) = Time for aircraft (tₐ)

Time for aircraft (tₐ) = 450 / (y + 5)

t꜀ = tₐ

t꜀ = 450 / (y + 5)

Speed = distance / time

S꜀ = d꜀ / t꜀

y = 300 ÷ 450 / (y + 5)

y = 300 × (y + 5) / 450

y = (300y + 1500) / 450

Cross multiply

450y = 300y + 1500

Collect like terms

450y – 300y = 1500

150y = 1500

Divide both side by 150

y = 1500 / 150

y = 10 Km/h

Thus, the speed of the container ship is 10 Km/h.

Answer:

7/3

Step-by-step explanation:

2-1/3-2/+1 in its simplest fraction is equal to 7/3.

The x- coordinate of the vertex P is  -4  and the y coordinate is -3. The coordinates of the image of vertex P is thus,  (-4, -3).

Coordinates are numbers describing the position of a point or shape in a line or particular space. We can represent a line or shape in the space between number lines with both positive and negative coordinates.

The vertical axis in the number line is called y-axis and the horizontal axis is called the x- axis. The coordinate of a point is written as (x, y). The x, y represents the numbers on x-axis and y -axis touched at which the point lies in the graph.

For the given vertex P, the vertex lies on the point -4 on x-axis and on -3 in y axis. Hence, the coordinate of P is (-4, -3).

Find more on coordinates:

https://brainly.com/question/27749090

#SPJ1

If there are 450 grams of element and half life is 8 minutes, then it will take 28.83 minutes the element to decay to 37 grams

Half life of radio active element = 8 minutes

Initial quantity of radio active element = 450 gram

Final quantity of radio active element = 37 grams

y = a(0.5)^(t/h)

Substitute the values in the equation

37 = 450 (0.5)^(t/8)

Move 37 to left hand side of the equation

37 / 450 = 0.5^(t/8)

Convert the terms to logarithm

t/8 = \(log_{0.5}\frac{37}{450}\)

t/8 = 3.60

t = 8 × 3.60

Multiply the numbers

t = 28.83 minutes
Therefore, the it will take 28.83 minutes to decay to 37 grams

Learn more about half life here

brainly.com/question/4318844

#SPJ4

Answer:

If you mean percent, its 350%

Answer:

1134

Step-by-step explanation:

1134/63=18

Answer:

13.714-13.551= 0.163

Step-by-step explanation:

The process of finding the eigenvalues of an upper triangular matrix is straightforward and does not require any additional computational steps.

Finding the eigenvalues of an upper triangular matrix can be done efficiently, as the structure of the matrix simplifies the process.

To find the eigenvalues of an upper triangular matrix, you can simply read off the diagonal elements of the matrix.

Since an upper triangular matrix has zeros below the diagonal, the determinant of A - λI will be the product of the differences between the diagonal elements and λ.

Setting this determinant equal to zero allows you to solve for λ, which gives you the eigenvalues.

To know more about matrix here

https://brainly.com/question/28180105

#SPJ4

Answer:

58°

Step-by-step explanation: Nick was able to view the museum painting through the mirror due to reflection. The painting was reflected after hitting the plane mirror. According to the law of reflection, the angle of incidence is equal to the angle of reflection. The incident angle is the angle which the incident ray( the ray which strikes or hits the plane mirror) makes with the normal(line perpendicular to the tangent).

Thus, the angle which the painting makes with the mirror is equal to the angle at which the painting is being viewed = 58°.

Answer: Option a.

Step-by-step explanation:

The data is:

The cost of mailing a letter is $0.37 for the first ounce.

$0.23 for each additional ounce or portion.

Then if we define the variable n, as the number of additional ounces, we can write this as:

F(n) = $0.37 + n*$0.27

This seems to be a linear relationship, but n only can take whole numbers, this means that if n is equal to 0.37, we should round it up (because we already have more than only one ounce).

Then we round up all the non-integers to the next integer.

for example, we round 1.45 to 2 and 1.876 to 2.

This means that F (1.45) = F(1.876) = F(2) = $0.37 + 2*$0.27

This is called a greastet integer function. then the correct option is a.

Answer:

Its B. Step Function, I just turned it in.

Step-by-step explanation:

Edge. 2020-21

The expression which is an equivalent form of the expression (n)-³ is; 1/n³.

According.to the question;

In essence, the variable n is raised to a power of -3.

On this note, using the law of indices regarding negative power; we can conclude that;

Read more on indices;

https://brainly.com/question/170984

There are 20,016 ways the yearbοοk can chοοse the winners οf mοst athletic, class clοwn, and best schοοl spirit frοm a class οf 28 students.

When the οrder οf the elements is unimpοrtant (unlike in permutatiοns), a cοmbinatiοn is a mathematical chοice made frοm a grοup οf different elements. There are three pοssible pairings οf the twο, fοr example, if three fruits are prοvided, such as an apple, a pear, and a range.

Fοrmally, a set S's k unique cοmpοnents make up a k-cοmbinatiοn, which is a subset οf S. Sο, if and οnly if twο cοmmunities have the same members, they are cοnsidered tο be identical. It dοesn't matter hοw each set οf individuals is arranged. the quantity οf K-cοmbinatiοns fοr an ensemble οf N cοmpοnents.

Tο determine the number οf ways the yearbοοk can chοοse the winners οf mοst athletic, class clοwn, and best schοοl spirit, we can use the permutatiοn fοrmula.

The number οf permutatiοns οf r οbjects taken frοm a set οf n distinct οbjects is given by:

nPr = n! / (n-r)!

where n! denοtes the factοrial οf n, which is the prοduct οf all pοsitive integers up tο n.

The οrder in which we chοοse the students matters because we are selecting winners fοr specific categοries. Therefοre, we can use the permutatiοn fοrmula tο calculate the number οf ways tο chοοse the winners as:

28P3 = 28! / (28-3)! = 28! / 25! = 28 x 27 x 26 = 20,016

Therefοre, there are 20,016 ways the yearbοοk can chοοse the winners οf mοst athletic, class clοwn, and best schοοl spirit frοm a class οf 28 students.

Learn more about combination, by the following link.

https://brainly.com/question/11732255

#SPJ1

Answer:

Angles in a triangle add up to 180⁰. So the answer is 16.

Step-by-step explanation:

48+84+3k= 180

132+3k= 180

3k= 180-132

3k= 48

k= 48÷3

k=16

Answer:

,,,,,,,,,,,,,,,,,,,,,,,

Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

to learn more about perpendicular click here:

brainly.com/question/29368768

#SPJ11

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

To know more about derivatives visit:

https://brainly.com/question/25324584

#SPJ11