What is the surface area of the triangular prism?

Trees planted by a landscaping firm have a 90% one-year survival rate, If they plant 16 trees in a park, what is the following p

irina1246 [14]

Answer:

Pr(all will survive in one year) = 0.35 to 2 decimal places

Pr(at least 8 will survive) = 0.39 to 2 decimal places.

Step-by-step explanation:

Probability of a tree surviving one year is 0.9. While not surviving probability is 1 - 0.9 = 0.1

This is obtained from the 90℅ surviving rate for one year planted by the landscaping firm.

Probability that if 10 trees are planted, all will survive for one year is:

0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9x0.9 = 0.9^10 = 0.349

Probability that at least 8 will survive in one year can be expressed as

8 survived x 2 not survived +(or) 9 survived x 1 not survived +(or) 10 survived

= [(0.9^8)x(0.1^2) + (0.9^9)x(0.1^1) + (0.9^10)] = 0.391

Step-by-step explanation:

6 0

3 years ago

I don’t know what i’m doing!

Colt1911 [192]

Answer:

angle list = measure
2, 4 = 35°
3, 7, 9 = 52°
11 = 87°
1, 5, 10, 12 = 93°
6, 8 = 128°

Step-by-step explanation:

As with a lot of math, it helps to understand the vocabulary. That helps you understand what is being said when the words are used to form a thought.

A "transversal" is a line that cuts across two parallel lines. At each intersection, 4 angles are formed. The angles are given different names, so we can talk about pairs of them being congruent.

The four angles between the parallel lines are called interior angles. The four angles outside the parallel lines are called exterior angles. When the angles are on opposite sides of the transversal, they are alternate angles.

In the diagram, we can identify the following pairs in each category:

alternate interior: {3, 9}, {5, 10}
alternate exterior: {1, 12}, {7, 52°}

When interior angles are on the same side of the transversal, they are called same-side or consecutive interior angles. Exterior angles cannot be consecutive. Here are some in that category:

consecutive interior: {3, 6}, {5, 87°}

Angles created by a ray extending from a line are a linear pair. Angles of a linear pair are supplementary, that is, their sum is 180°. Angles formed by two intersecting lines, sharing only the same vertex, are called vertical angles. Vertical angles are both supplementary to the other angle of the linear pair of which they are a part. Since they are supplementary to the same angle, they are congruent (have the same measure). Here are some linear pairs and some vertical angles in the figure:

linear pairs: {6, 7}, {7, 8}, {8, 9}, {6, 9}, {10, 87°}, {10, 11}, {11, 12}, {12, 87°}
vertical angles: {1, 5}, {2, 4}, {3, 52°}, {6, 8}, {7, 9}, {10, 12}, {11, 87°}

Corresponding angles are ones that are in the same direction from the point of intersection. Some of those pairs are ...

corresponding angles: {1, 10}, {5, 12}, {3, 7}, {9, 52°}

Here are the relations that help you work this problem:

alternate interior angles are congruent
alternate exterior angles are congruent
vertical angles are congruent
corresponding angles are congruent
a linear pair is supplementary
consecutive interior angles are supplementary

__

So far, we haven't mentioned much about the angles where lines j, k, l all meet. Transversal j cuts some of the angles created by transversal k, and vice versa. So, there are some angle sum relations that also apply to corresponding angles:

∠1+∠2≅∠6
∠2+52°≅87°
∠3+∠4≅∠11
∠4+∠5≅∠8

_____

With an awareness of all of the above, you can figure the measures of all of the angles in the diagram.

∠1 ≅ ∠5 ≅ ∠10 ≅ ∠12 = 180° -87° = 93°

∠2+52° = 87° ⇒ ∠2 ≅ ∠4 = 87° -52° = 35°

∠3 ≅ ∠7 ≅ ∠9 ≅ 52°

∠6 ≅ ∠8 = 180° -∠7 = 128°

∠11 ≅ 87°

5 0

3 years ago

Calculate the mean, median and mode of the following data.

bixtya [17]

The answer is mean 15 median 15.5 mode 16

3 0

3 years ago

What is the solution of x = 2 + StartRoot x minus 2 EndRoot?

Kobotan [32]

Answer:

x= 2 or x=3

Step-by-step explanation:

Both satisfy the equation. I hope this helped.

6 0

3 years ago

Read 2 more answers

9. Calcule el valor de la fuerza que experimenta un ascensor cuando levanta 150 kg en los siguientes casos: a) Cuando asciende c

GenaCL600 [577]

Answer:

a) La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) Por la fuerza de tensión sobre el cable del ascensor.

Step-by-step explanation:

a) La fuerza neta experimentada por el ascensor ( $F$ ), en newtons, es:

$F = m\cdot a$ (1)

Donde:

$m$ - Masa, en kilogramos.

$a$ - Aceleración, en metros por segundo cuadrado.

Si sabemos que $m = 150\,kg$ y $a = 4\,\frac{m}{s^{2}}$ , entonces la fuerza neta del ascensor es:

$F = m\cdot a$

$F = 600\,N$

La fuerza neta que experimenta un ascensor cuando asciende con una aceleración de 4 metros por segundo al cuadrado es 600 newtons hacia arriba.

b) Si sabemos que $m = 150\,kg$ y $a = -6\,\frac{m}{s^{2}}$ , entonces la fuerza neta del ascensor es:

$F = m\cdot a$

$F = -900\,N$

La fuerza neta que experimenta un ascensor cuando desciende con una aceleración de 6 metros por segundo al cuadrado es 900 newtons hacia abajo.

c) De manera simplificada, el ascensor experimenta dos fuerzas que definen la fuerza y aceleración netas: (i) La fuerza de tensión sobre el cable que traslada el ascensor y el peso total del ascensor, opuesta a la anterior y en función de la aceleración gravitacional. Puesto que la masa no varía en ningún caso, se concluye que el peso es constante, entonces la diferencia de valores se debe a la fuerza por tensión del cable. En el descenso, es fuerza es menor que en el ascenso.

8 0

3 years ago