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3 years ago

13

Hannah has a chicken coop with six hens. Let X represent the total number of eggs the hens lay on a random day. The distribution

for X is given in the table.
What is the probability that the hens lay a total of two eggs?

0.05
0.07
0.12
0.93

1 answer:

vekshin13 years ago

4 0

Answer:

0.07

Step-by-step explanation:

I'm sorry if its wrong

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Omg please help if you can giving extra points

solniwko [45]

<h3>Answer: 285, choice A</h3>

=================================================

Explanation:

x = number of attendees

y = cost

If you increase the number of attendees (x) by 15, then the cost (y) goes up by 105. We see this by subtracting the values

30 - 15 = 15

495 - 390 = 105

Divide the change in cost over the change in people. So we have 105/15 = 7

The 7 represents the unit rate, which is the amount of money it costs for one person. Each time we add a person, it costs $7. So we can say "it costs 7 dollars per person"

At 7 dollars per person, 15 people will be charged 15*7 = 105. However, the table shows $390 is the actual cost. So 390 - 105 = 285 is the base cost

Or you can use the second column. If we had 30 people, then 7*30 = 210 is the cost without the base cost added on. The table shows 495, so 495-210 = 285 which is the same answer as before.

-------------------------------------

Alternative method

This method involves more equations and algebra

First use the slope formula. You can use any two points from the table. I'm going to use (15, 390) and (30, 495)

m = slope

m = (y2-y1)/(x2-x1)

m = (495-390)/(30-15)

m = (105)/(15)

m = 7 <<--- this is the unit rate, aka cost per person

Use the slope and one of the points to find the y intercept

y = mx+b

y = 7x+b

390 = 7(15)+b

390 = 105+b

105+b = 390

b = 390-105

b = 285 <<-- this is the y intercept, aka base cost

The base cost is the price you pay to get in the door. This cost stays the same no matter how many people are in your party. The equation would be y = 7x+285. Note how plugging in x = 15 leads to y = 390. At the same time, plugging in x = 30 leads to y = 495.

6 0

3 years ago

in a class there are 40 students. There are 10 more boys than girls in the class, Let x be the number of boys and y be the numbe

belka [17]

X = boys
y = girls

x + y = 40 (in a class there are 40 students)
x = y + 10 (t<span>here are 10 more boys than girls in the class</span>)

5 0

4 years ago

Parallelogram ABCD has vertices at A(2,-3), B(8,-6), Cl14,-3), and D(8,0)

OlgaM077 [116]

Answer:

The correct option is C.

Step-by-step explanation:

The vertices of ABCD are A(2,-3), B(8,-6), C(14,-3), and D(8,0).

Distance formula:

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

The length of sides are

$AB=\sqrt{(8-2)^2+(-6+3)^2}=\sqrt{36+9}=\sqrt{45}$

$BC=\sqrt{(14-8)^2+(-3+6)^2}=\sqrt{36+9}=\sqrt{45}$

$CD=\sqrt{(8-14)^2+(0-3)^2}=\sqrt{36+9}=\sqrt{45}$

$AD=\sqrt{(8-2)^2+(0+3)^2}=\sqrt{36+9}=\sqrt{45}$

Since length of all sides are equation therefore the given parallelogram cannot be a rectangle.

Slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Slope of AB is

$m_1=\frac{-6-(-3)}{8-2}=\frac{-3}{6}=\frac{-1}{2}$

Slope of BC is

$m_2=\frac{-3-(-6)}{14-8}=\frac{3}{6}=\frac{1}{2}$

Since the slopes of two consecutive sides are not opposite reciprocals, therefore the given parallelogram is a rhombus. Option C is correct.

8 0

3 years ago

Luden [163]

Alright, Part A.
This would be 5x + 4x + 5x +4x = 360. This is because all the angles in a parallelogram add up to 360. The other two angles are not unknown, as they correspond with the known angles of 4x and 5x, thus we get all angles.

So add all angles together and we get 18x = 360. We then do x =360/18, thus x = 20. So the answer is C.

Now for the angles, we will have to do the value of the x (which is 20) multiplied by the coefficient (the number in front of the x). So we do 20*4 = 80 and 20*5 = 100. So the answer must be C.

8 0

4 years ago

Read 2 more answers

Which linear equation represents the data given in the table?

IgorC [24]

Answer:

$c \: \: y = 3x - 8$

if you insert x and y value in equation you can find equation

3 0

3 years ago