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3 years ago

Use the scale factor 1:15 to find the missing dimension.

Mathematics

1 answer:

mestny [16]3 years ago

6 0

Answer:

20 cm

Step-by-step explanation:

$3 m*\frac{1}{15} *\frac{100 cm}{1 m}$

1. Multiply the actual depth my the scale factor of 1/15.

2. Multiply the resulting depth after multiply by the scale factor by the conversion factor of meters to centimeters.

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4. Here is a linear equation: y=1/4 x + 5/4

4vir4ik [10]

Step-by-step explanation:

"Solutions to the equation" just means that they are points on the line. To find out if these two points land on this line, plug each one in, like this:

1.5 = (1/4)(1) + (5/4)

1.5 = (1/4) + (5/4)

1.5 = (6/4)

1.5 = 1.5

Since the expression is true, this point is on the line.

Do the same process for the second point (remember a point is formatted (x,y)) and see if it is also a point on the line.

To find the x-intercept, simply plug in 0 for y and see what you get. It should look like (x,0).

7 0

2 years ago

When the smaller of two consecutive integers is added to three times the larger the result is 31. find the integer

wariber [46]

8 and 10 are the integers

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3 years ago

HELP PLEASE I NEEED IT

frozen [14]

Answer:

Cylinder A= 603.81

Cylinder B= 603.19

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Step-by-step explanation:

4 0

3 years ago

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:

The value is $P( X < 7 ) =0.26226$

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

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