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Gre4nikov [31]
3 years ago
13

A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s

egment above her left hand. Her right hand grips the pole 1.5 above her left hand. How far up the pole is her right hand?
Mathematics
1 answer:
Shalnov [3]3 years ago
6 0
Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3 
4.5 = x
x = 4.5
This is the length above the left hand. 

2x must be then 4.5*2 = 9 foot
This is the length below the left hand. 

Checking
4.5 + 9 + 1.5 = 15 foot 

Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.
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Find the probability​ p(e or​ f) if e and f are mutually​ exclusive, ​p(e)equals 0.25​, and ​p(f)equals 0.51.
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The definition of two events being mutually exclusive (or disjoint) only means that it is not possible for the two events to occur together. Given two events, E and F, they are mutually exclusive and also mean independent.

In this case, since events E and F are mutually exclusive, therefore the probability that either E or F will occur will simply be the sum of two events.

P (E or F) = P (E) + P (F)

P (E or F) = 0.25 + 0.51

P (E or F) = 0.76

 

Therefore this means that there is a 76% probability that either E or F will occur.

8 0
3 years ago
Determine the quotient of 2/3 divided by 4 using a visual model. Show me how..,
azamat
4 divided by 2/3 equals 6. And 2/3 divided by 4 equals about 0.1666

First you would write it as 4/1 divided by 2/3, then you would you keep, change, flip. If you do not know how to keep,change,flip just keep the first fraction then change the division sign to multiplication then flip the last fraction. Then you should get the answer. And if you need to simplify make sure to do that.
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Susannah has a high-yield savings account into which she deposits $140 each month. At the beginning of the year, Susannah's acco
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Answer:

Her account balance will be $2,080 at the end of the year

Step-by-step explanation:

Let

y ----> Susannah's account balance

x ---> is the  amount of time in months

we have

y=140x+400

This is a linear equation in slope intercept form

where

The slope or unit rate is equal to

m=\$140\ per\ month

The y-intercept or initial value is equal to

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Remember that

One year is equal to 12 months

so

For x=12 months

substitute in the linear equation

y=140(12)+400=\$2,080

5 0
2 years ago
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