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netineya [11]
3 years ago
7

Find the diagonal length of a rectangular TV screen with the a length of 25 inches and a width of 28 inches.

Mathematics
1 answer:
Luba_88 [7]3 years ago
7 0

Answer:

37.5 inches

Step-by-step explanation:

Applying the Pythagorean Theorem,

a²+b²=c²

where c is the diagonal length

c=√(25²+28²)= 37.5

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2. The mean birth weight of a full term boy born in the US is 7.7 lbs, with standard deviation of 1.1 lbs. A. Find the probabili
Fed [463]

Answer:

A

The value is P( X  <  7 ) =0.26226

B

The value is P( X  <  7 ) = 0.00073

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 7.7 lbs

   The standard deviation is \sigma  = 1.1 \ lbs

  The sample size is  n =  25

Generally the probability that a boy born full term in the US weighs less than 7 lbs is mathematically represented as

     P( X  <  7 ) =  P( \frac{X - \mu }{\sigma}  <  \frac{7 - 7.7 }{1.1 } )

\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )

=>   P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -0.6364  is

    P(Z

=>   P( X  <  7 ) =0.26226

Generally the standard error of mean is mathematically represented as  

       \sigma_{x} = \frac{\sigma }{\sqrt{n} }

=>     \sigma_{x} = \frac{ 1.1  }{\sqrt{25} }

=>     \sigma_{x} = 0.22

Generally the probability that the average weight of 25 baby boys born in a particular hospital have an average weight less than 7 lbs is mathematically represented as

         P( \= X  <  7 ) =  P( \frac{\= X - \mu }{\sigma_{x}}  <  \frac{7 - 7.7 }{ 0.22 } )

=>      P( X  <  7 ) =  P(Z

From the z table  the area under the normal curve to the left corresponding to    -3.1818  is

=>      P(Z

=>      P( X  <  7 ) = 0.00073

4 0
3 years ago
1.6022x 10-19 round three decimal places
den301095 [7]

Answer:

1.6022x 10-19

Step-by-step explanation:

1.6022x 10-19 then simplifies into 16.022 because of the 10, and then the final answer is -2.978

6 0
3 years ago
Read 2 more answers
Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?
Softa [21]

\boxed{ \mathfrak { question↷}}

Fiona and Pip win some money and share it in the ratio 6:1. Fiona gets £35 more than Pip. How much did they get altogether?

\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}

\boxed{ \mathfrak { solution↷}}

Let Pip get be x and fiona get be x+35

Ratio = 6:1

\tt \frac{x + 35}{x }  = 6

\tt \: x + 35 = 6x

\tt \: 5x = 35

\tt \: x = 7

\boxed{ \sf \: Total  \: money = x + x + 35 = 14+ 35 = £49}

3 0
2 years ago
PLEASE HELP! WILL MARK BRAINLIEST!
dedylja [7]

Answer:

at first put the value of X

after that do the equation.

Step-by-step explanation:

hope it will help you

5 0
3 years ago
Read 2 more answers
Anyone please help me i'm not sure how to do this and please give clear instructions
rewona [7]
-10= 7X - 42
-10 + 42 = 7X
32 = 7X
X = 32/7
X = 4.57
7 0
3 years ago
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