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andrezito [222]
3 years ago
12

Simplify 5 square root of 7 end root plus 12 square root of 6 end root minus 10 square root of 7 end root minus 5 square root of

6.
Mathematics
1 answer:
Sphinxa [80]3 years ago
4 0
The simplest answer form would be -5 square root of 7 end root + 7 square roots of 6
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During a bike challenge riders have to collect various colored ribbons each half mile they collect a red ribbon each 8th mile th
soldi70 [24.7K]

Answer:

Green and Blue ribbon

Step-by-step explanation:

Given

They collect

Red Ribbon = ½ mile

Green Ribbon = ⅛ mile

Blue Ribbon = ¼ mile

To find?

Which colors of ribbons will be collected at the ¾ mile mark.

The interpretation of the question is to test which of the above fractions can divide ¾ without a remainder; in other words, multiples of ¾.

Testing each fraction.

Red Ribbon = ½

¾ ÷ ½

= ¾ * 2

= 3/2

= 1.5 or 1 Remainder 1

This is not an exact multiple of ¾. So, the red ribbon won't be passed here.

Green Ribbon = ⅛

¾ ÷ ⅛

= ¾ * 8

= 24/8

= 3

This is an exact multiple of ¾. So, the green ribbon will be collected.

Testing the last ribbon

Blue = ¼

¾ ÷ ¼

= ¾ * 4

= 3

This is an exact multiple of ¾. So, the blue ribbon will be collected.

Hence, the green and blue ribbons will be collected at ¾ mile mark

3 0
3 years ago
Explanation of Baye's theorem.
ELEN [110]

I will be including both an basic explanation of what it is and its proof.

I'm guessing you are either learning about conditional probability at school or preparing for competitions.

Baye's theorem states:

P(A|B)=\frac{P(B|A)P(A)}{P(B)}

That is the theorem itself and it means that the probability that event A happens given B is true equals the probability event B happens given A is true times the probability event A happens divided by the probability B happens.

That was the basic of the theorem and the proof of this is basically just testing how well you understand what conditional probability is.

P(A|B)=\frac{P(AintersectB)}{P(B)}

P(B|A)=\frac{P(BintersectA)}{P(A)}

Now we know that the probably that A and B both happens is the same as the probably that B and A both happens.

Therefore P(A|B) can be seen as P(B|A) multiplied by P(A) and then divided by P(B) which gives the right hand side of the first equation. And this is basically the theorem.

P(A|B)=\frac{P(B|A)P(A)}{P(B)}

**Note P(B) have to be not equal to 0 because having a 0 in the denominator would make this equation undefined.

If you have any questions or need further explanations please ask me in the comments of the answer, I hope this helped!

6 0
3 years ago
Select all the fractions that are equivalent to each other.
pogonyaev
1/4
2/8
4/16
3/12

u can convert fractions into percents by multiplying the first number by the second. hope this helped:))
4 0
3 years ago
Read 2 more answers
A number is chosen at random from 1 to 10. Find the probability of selecting factors of 4 and factors
Lena [83]
The ANWSER is 2/4 I hope I helped
8 0
3 years ago
the volume V of a gas at a constant temperature varies inversely with the pressure P. when the volume is 100 cubic inches the pr
fiasKO [112]

Answer:

The pressure is 20\ psi

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent an inverse variation if it can be expressed in the form y*x=k or y=k/x

In this problem we have

V*P=k

where

V is the volume of a gas at a constant temperature

P is the pressure

we have

For V=100\ in^{3},P=25\ psi

step 1

Find the value of k

substitute the values of V and P

100*25=k

k=2,500

The equation is equal to  V*P=2,500

step 2

Find the pressure when the volume is 125 cubic inches

For V=125\ in^{3}

substitute in the equation and solve for P

125*P=2,500

P=2,500/125=20\ psi

8 0
3 years ago
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