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1 month ago

15

In a bike race: Julie came in ahead of Roger. Julie finished after James. David beat James but finished after Sarah. In what pla

ce did David finish?

1 answer:

Inessa [12.5K]1 month ago

5 0

List the placements as stated:

Julie before Roger

James before Julie, who is before Roger

David before James, James before Julie, Julie before Roger

Sarah before David, David before James...

Therefore, David ranked 2nd place.

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The warehouse already has 27 pallets of stock waiting to be unloaded, and the delivery van arrives with another 8. The warehouse

PIT_PIT [12445]

To find the solution, you need to add 27 and 8 together, which results in 35. After calculating that, you should subtract 32 from 35, leading to a remainder of 3, indicating that 3 extra pallets will be remaining as your answer.

5 0

1 month ago

There are 345 students at a college who have taken a course in calculus, 212 who have taken a course in discrete mathematics, an

AnnZ [12381]

Answer:

There are 369 students who enrolled in either calculus or discrete mathematics.

Step-by-step explanation:

I'll create a Venn diagram to illustrate these figures.

Let’s define:

A represents the count of students who completed calculus.

B stands for those who took discrete mathematics.

We have the following:

$A = a + (A \cap B)$

Here, a denotes the students who studied calculus exclusively, while $A \cap B$ represents those who took both subjects.

Using the same reasoning:

$B = b + (A \cap B)$

There are 188 students taking both calculus and discrete mathematics.

This implies that $A \cap B = 188$

A total of 212 students studied discrete mathematics.

<pBased on this, $B = 212$

345 students have attended a calculus course.

<pSo, from this information, $A = 345$

We find the total number of students who took either calculus or discrete mathematics.

$(A \cup B) = A + B - (A \cap B) = 345 + 212 - 188 = 369$

A total of 369 students participated in either calculus or discrete mathematics.

4 0

1 month ago

A survey of 100 people found that 35 people exercise in the morning, 45 people exercise in the afternoon, and 20 people exercise

Zina [12379]

Out of 100 surveyed individuals, 35 work out in the morning, 45 in the afternoon, and 20 at night.

Jim is accurate.....
The ratio of morning exercisers to the whole group is 35/100.
The ratio of afternoon exercisers is 45/100.
The ratio for night exercisers is 20/100.

7 0

1 month ago

Read 2 more answers

Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =

AnnZ [12381]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

$y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x$

$\implies 3x+2y-2z-8=0\hfill (1)$

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

$\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0$

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

8 0

1 month ago

E saca una bola de billar al azar de una caja que contiene 15 bolas de billar numeradas del 1 al 15 y se registra el número obte

Zina [12379]

Respuesta:

P = 2/7 = 0.2857 o 28.57%

Explicación paso a paso:

En primer lugar, sabemos que hay 15 bolas y necesitamos identificar cuáles son pares y superiores a 10.

Por lo tanto, debemos calcular inicialmente la probabilidad de que el número obtenido sea par.

Los números pares son 2, 4, 6, 8, 10, 12, 14

Contamos 7 números de 15 ---> P(B) = 7/15

De esos números, solo dos son mayores a 10, que son 12 y 14, así que: P(A|B) = 2/15

Para encontrar la probabilidad de obtener un número par mayor que 10:

P(A/B) = P(A|B) / P(B)

P(A/B) = 2/15 / 7/15 = 2/7 = 0.2857

Para calcular el porcentaje: 0.2857 * 100 = 28.57%.

5 0

13 days ago