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Maslowich
2 years ago
11

What is the probability that a randomly selected senator is a Democrat or is up for reelection in November 2014? (Enter your pro

bability as a fraction.)
Mathematics
1 answer:
Vesna [10]2 years ago
3 0

Answer: 20/33

Step-by-step explanation:

According to the table of statistics given for the politicians

number of Dem. Senator = 20

number of Rep. Senator = 13

Total for Senators = 33

Let E be the event,

The required probability is:

P(E) = P(Dem)

= 20/33

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): How many times longer is the diameter of a grain of sand than the diameter of the average cell in the human body? Show your w
Airida [17]
<span>Approximately 25. Of the 5 grades of sand used in the United states, medium sand has particles ranging from 0.25 mm to 0.5 mm. For convenience, I'll use 0.5mm as the diameter of a grain of sand. Human cells range from a volume of 30 cubic micrometers (human sperm cell) up to 4 million micrometers (human egg cell). For the average human cell, I'll use an osteoblast with a volume of 4000 cubic micrometers or a diameter of 2x10^-5 meters. Now just take the diameter of a grain of sand and divide by the diameter of a human cell. 5 x 10^-4 / 2x10^-5 = 5/2 x 10^(-4 - -5) = 2.5x10^1 = 25 So the diameter of a grain of sand at 0.5 mm is approximately 25 times larger than that of a human cell at 0.02mm</span>
4 0
3 years ago
Use the zero product property to find the solitions to the equation(x+2)(x+3)=12.
kykrilka [37]

Answer:

(x + 2) (x + 3) = x² + 3x + 2x + 6 = 12  (multiply the binomials)

(x + 2) (x + 3) = x² + 5x + 6 = 12

(x + 2) (x + 3) = x² + 5x + 6-12 = 0  (add the like term and bring the positive 12 to the other side which makes it negative)

x² + 5x + 6 = 0

Using the snowflake method -  (finding the factors of 6 that adds/subtracts to give you 5).  

This method will give you the factors (x + 6)(x - 1)

ZERO PROPERTY RULE:

(x + 6) = 0

x = -6

(x - 1) = 0

x = 1

The two solutions to the equation are -6 and 1.

7 0
3 years ago
Calculate the distance from each given point to the given line.
antoniya [11.8K]
Given:  <span>2x-y-3=0.
find </span>equation for the line perpendicular to the given line that goes through the given point:<span>
(2;-1)koord of direction vector (i`m not know how it is called at you, because i'm from russia)</span><span>
=> (x-0)/2=(y-4)/-1 (</span>canonical <span>equation)
=>x+2y-8=0(general </span><span>equation)
</span>
<span>further:
{x+2y-8=0
{2x-y-3 =0    =>   y=13/5 x=14/5

(14/5; 13/5) - koord point on line
</span>|dist|=sqrt( (14/5-0)^2 + (13/5-4)^2 ) = sqtr(7.72)  = 2.78

Удачи!
<span>
. </span>











7 0
3 years ago
Read 2 more answers
Analyze the diagram below and complete the instructions that follow.
MAXImum [283]

Answer:

XAW = 3(23) = 69 degrees.

WAY = 23 + 88 = 111 degrees.

ZAY = 8(12) - 23 = 73 degrees.

XAZ = 6(12) + 35 = 107 degrees.

Step-by-step explanation:

8 0
3 years ago
The diameter of a circle is 6 cm. Find its area to the nearest tenth.
Kruka [31]

Answer:

28.27cm²

Step-by-step explanation:

formula:

A=πr²

d = 2r

Solving for A

A=1/4π d² = 1/4 · π · 6² ≈ 28.27433cm²

rounded: 28.27cm²

hope this helped!

8 0
3 years ago
Read 2 more answers
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