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3 years ago

5

THE PROBABILITY THAT AMONG THE 12 OFFSPRING PEAS, NO MORE THAN 1 HAS A GREEN POD? find the probability that among the 12 offspri

ng peas, no more than 1 has a green pod. Is it unusual to get no more than 1 pea with a green pod when 12 offspring peas are generated?

1 answer:

Neko [114]3 years ago

6 0

2^12=4096

1/4094 or 2.44*10^-4

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Help<br><br> Determine which equation is parallel to line jk and which is perpendicular to line jk.

alukav5142 [94]

Answer:

5x + 3y = 13 parallel.

6x - 10y = 7 perpendicular.

Step-by-step explanation:

Two lines with slopes $m_1$ and $m_2$ are parallel when $m_1=m_2$ and are perpendicular when $m_1*m_2=-1$

Now determine the slope of all the lines

The line jk passes through the points

(-5,5) and (1,-5) so its slope is

$\frac{-5-5}{1-(-5)}=\frac{-10}{6}=-\frac{5}{3}$

To determine the slope of the lines in the blue rectangles, isolate y from each one and the coefficient of x is the slope

5x-3y = 8 ------> y = (5/3)x + 8/3 ------> slope 5/3

Neither parallel nor perpendicular.

6x+10y = 11 ------> y = (-6/10)x + 11/10 = (-3/5)x + 11/10 ------> slope -3/5

Neither parallel nor perpendicular.

5x + 3y = 13 ------> y = (-5/3)x + 13/3 ------> slope -5/3

This line is parallel

6x - 10y = 7 ------> y = (6/10)x - 7/10 = (3/5)x -7/10 ------> slope 3/5

Since (-5/3)(3/5) = -1 this line is perpendicular.

8 0

2 years ago

Find the area a of the triangle whose sides have the given lengths. a = 20, b = 15, c = 25 a =?

PIT_PIT [208]

The area of a triangle with sides a = 20, b = 15, and c = 25 is 150.

The sides of the triangle are given as a = 20, b = 15, and c = 25.

We will use Hero's formula to find the area of this triangle.

<h3>What is Heron's formula?</h3>

It is a three-face polygon that consists of three edges and three vertices.

We use Heron's formula to find the area of a triangle with 3 sides:

Herons formula:

Area of a triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\$

Where a, b, and c are sides of a triangle.

And s = semi perimeter of a triangle.

s = $\frac{a+b+c}{2}$

If the sum of two sides of a triangle is greater than the third side of a triangle then the sides of a triangle are true.

Let the given sides be:

a = 20, b = 15 and c = 25.

(20 + 15) > 25

(20 + 25) > 15

(15 + 25) > 20 so the given sides are true.

Now,

Semi perimeter of the triangle:

s = (a+b+c) / 2

s = (20+15+25) / 2

s = 60 / 2

s = 30

Putting s = 30 in the area of the triangle.

we get,

Area of the triangle = $\sqrt{s(s-a)(s-b)(s-c)}\\$

Area of the triangle = $\sqrt{30(30-20)(30-15)(30-25)}\\\\\sqrt{30\times10\times15\times5}\\\\\sqrt{22500}\\\\150$

Thus, the area of a triangle is 150.

Learn more about the Area of triangles here:

brainly.com/question/11952845

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3 0

1 year ago

X +3> -8<br> Can you help please also you need to see what it’s greater then or less than too.

Natalija [7]

Answer:

x > -11

Step-by-step explanation:

Step 1: Write inequality

x + 3 > -8

Step 2: Solve for <em>x</em>

Subtract 3 on both sides: x > -11

Here, the inequality is saying that any number greater than -11 will work as a solution.

8 0

2 years ago

Find the volume of the figure

natka813 [3]

Answer:

760ft

Step-by-step explanation:

First you find the volume of the rectangle thing :)

so 14 times 19 times 2 = 532ft

than you need to do the triangle so 20 - 14 (for base length) is 6

so 19 times 6 times 2 = 228ft

now you ad them, so 532 + 228 = 760

5 0

2 years ago

Which expression is equivalent to 6 (3 x minus 4)?

tresset_1 [31]

I’m pretty sure it’s 18x +24

4 0

3 years ago

Read 2 more answers