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Aleksandr [31]
3 years ago
13

How many tiles that are each 14-3/8 inches in length can be cut from a larger piece of tile that is 100-5/8 inches long?

Mathematics
1 answer:
Dvinal [7]3 years ago
6 0
(100 5/8) / (14 3/8)
(805 / 8) / (115/8) =
805/8 * 8 / 115 =
805 / 115 =
7 <===
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6. Write an equation of a line parallel to y = 3x + 9 and goes through the point (-1,5).
lisabon 2012 [21]

Answer: The equation parallel to the line is y=3x+8

Step-by-step explanation: Parallel lines have the same gradients, wr have a gradient for the above line which 3. The standard formula for the linear equation is y=mx+c

We have to calculate c since we have x and y.

y=mx+c

5= 3(-1)+c

c=8

The equation become y=3x+8

4 0
3 years ago
A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to boys?
marta [7]
1 boy to every 3 girls
6 0
3 years ago
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solo el 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal. Si
prisoha [69]

Usando la distribución binomial, hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

<h3>¿Qué es la distribución binomial?</h3>

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

Los parámetros son:

  • n es el número de ensayos.
  • p es la probabilidad de éxito en un ensayo
  • x es el número de éxitos

En este problema, hay que:

  • 20% de los empleados de la población civil que está en una base militar restringida porta su identificación personal, o sea p = 0.2.
  • Llegan 10 empleados, o sea, n = 10.

La probabilidad de que el guardia de seguridad encuentre al menos uno en la base militar restringida es dada por:

P(X \geq 1) = 1 - P(X = 0)

En que:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.2)^{0}.(0.8)^{10} = 0.1074

Por eso:

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1074 = 0.8926

Hay una probabilidad de 0.8926 = 89.26% de que el guardia de seguridad encuentre al menos uno en la base militar restringida.

Puede-se aprender más a cerca de la distribución binomial en brainly.com/question/25132113

3 0
2 years ago
What is the solution to this system of linear equations?<br><br> x + y = 4<br><br> x − y = 6
Amiraneli [1.4K]
X+y = 4, therefore y = 4-x when you rearrange the equation.
You can subsitute this in: x-(4-x) = 6
-4+x = 6-x
x=10-x
2x = 10
x = 5
Substitute x into the previous equation:
5+y = 4
y = 4-5
y = -1
5 0
3 years ago
Read 2 more answers
Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calcul
sesenic [268]

The expression      5 = \sqrt{(x-6^2)+(y - 5)^2}  can be used to find the coordinate of Point B. Option C is correct.

Given that,
Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calculate the coordinates for point B is to be determined.

<h3>What is the equation?</h3>

The equation is the relationship between variables and represented as y = ax +c is an example of a polynomial equation.

Let the coordinates of B be (x, y)
Now the distance between A (6, 5) and B (x, y) is c = 5 units
So, by the distance formula, the distance between two points is given as,


C = \sqrt{(x_1-x_2)^2 +(y_1-y_2)^2}


now put the value in the formula.

5 = \sqrt{(x-6^2)+(y - 5)^2}

Thus, expression      5 = \sqrt{(x-6^2)+(y - 5)^2}  can be used to find the coordinate of Point B. Option C is correct.


Learn more about equation here:

brainly.com/question/10413253

#SPJ1



4 0
1 year ago
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