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jeka57 [31]
3 years ago
11

If a pitcher that holds 2 gallons and 9 people share the entire pitcher equally how much punch does each person get

Mathematics
1 answer:
Sergio [31]3 years ago
3 0
3.5cups or 0.222222222 of a gallon
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Prove identity tan 3x−tan 2x−tanx = tan 3xtan 2xtanx
NeX [460]
Tan ( a + b ) = [ tan a + tan b ] / [ 1 - (tan a)*(tan b) ];

let be a = 2x and b = x;

=> tan 3x = [ tan 2x + tan x ] / [ 1 - (tan 2x)*(tan x) ] => (tan 3x)*[ 1 - (tan 2x)*(tan x) ] =
 
tan 2x + tan x => tan3x -  tan 3xtan 2xtanx = tan 2x + tan x => <span> tan 3x−tan 2x−tanx = tan 3xtan 2xtanx.</span><span />
7 0
3 years ago
3х – 4 y = -14<br> 3x+2y = -2<br> Plesssseeeee help just ignore the y=4
mote1985 [20]

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3 0
3 years ago
Which is the logarithmic form of 4^5 = 1024
leva [86]

Answer:

Log_41024=5

Step-by-step explanation:

The change of form formula (exponential to logarithm) is:

a^x=b\\Log_ab=x

Looking at the problem given, we can simply write the logarithmic form as:

4^5=1024\\Log_41024=5

This is the answer.

3 0
3 years ago
In a certain community, 30% of the families own a dog, and 20% of the families that own a dog also own a cat. It is also known t
Komok [63]

Answer:

What is the probability that a randomly selected family owns a cat? 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat? 82.4%

Step-by-step explanation: We can use a Venn (attached) diagram to describe this situation:

Imagine a community of 100 families (we can assum a number, because in the end, it does not matter)

So, 30% of the families own a dog = .30*100 = 30

20% of the families that own a dog also own a cat = 0.2*30 = 6

34% of all the families own a cat = 0.34*100 = 34

Dogs and cats: 6

Only dogs: 30 - 6 = 24

Only cats: 34 - 6 = 28

Not cat and dogs: 24+6+28 = 58; 100 - 58 = 42

What is the probability that a randomly selected family owns a cat?

34/100 = 34%

What is the conditional probability that a randomly selected family doesn't own a dog given that it owns a cat?

A = doesn't own a dog

B = owns a cat

P(A|B) = P(A∩B)/P(B) = 28/34 = 82.4%

5 0
3 years ago
Read 2 more answers
(2x+10) find value for x
Finger [1]
2x+10=0
subtract 10 from both sides
2x=(-10)
divide 2 from both sides
x=-5
4 0
3 years ago
Read 2 more answers
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