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kvv77 [185]
2 years ago
7

Convert the angle 0 = 180° to radians. 0 = radians

Mathematics
1 answer:
luda_lava [24]2 years ago
4 0
To convert degrees to radians, multiply by π180° π 180 ° , since a full circle is 360° or 2π radians.
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It has a time to failure distribution which is normal with a mean of 35,000 vehicle miles and a standard deviation of 7,000 vehi
Triss [41]

Answer:

The designed life should be of 21,840 vehicle miles.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 35,000 vehicle miles and a standard deviation of 7,000 vehicle miles.

This means that \mu = 35000, \sigma = 7000

Find its designed life if a .97 reliability is desired.

The designed life should be the 100 - 97 = 3rd percentile(we want only 3% of the vehicles to fail within this time), which is X when Z has a p-value of 0.03, so X when Z = -1.88.

Z = \frac{X - \mu}{\sigma}

-1.88 = \frac{X - 35000}{7000}

X - 35000 = -1.88*7000

X = 21840

The designed life should be of 21,840 vehicle miles.

3 0
2 years ago
When a number is decreased by 4%, the result is 93. What is the original number
romanna [79]

Answer:

<u>The original number is 96.875</u>

Step-by-step explanation:

Let's find the original number using the Direct Rule of Three, this way:

       Percentage          Number

              100                       x

               96                       93

***********************************************

96x = 93 * 100

96x = 9,300

x = 9,300/96

x = 96.875

<u>The original number is 96.875</u>

7 0
3 years ago
which equation represents a line parallel to the line whose equation is -2x+3y=-4 and passes through the point 1,3
Sedbober [7]

Answer:

-2x+3y=7

or

2x-3y= -11

Step-by-step explanation:

-2x+3y= -4, which is Ax+By=C

A=-2 B=3 C=-4

m(slope)= -A/B

m= -(-2)/3

m= 2/3

y-y1= m (x-x1)

y-3= 2/3 (x-1)

Multiply by 3 cancels out the fraction

3y-9= 2 (x-1)

Distributive property

3y-9= 2x-2

-2x+3y-9= -2

From here it could go 2 ways:

1. -2x+3y= 7

or

2. 2x-3y+9= -2

so

2x-3y= -11

Hope this helps

7 0
3 years ago
Does the table represent y as a function of x? Justify Your Answer.
strojnjashka [21]

Answer:

NO. It does not represent y is a function of x.

Step-by-step explanation:

For a given table of values to be considered as representing a function, every domain value (x-value) must have exactly one range value (y-value). This implies that a function cannot have two y-values assigned it mapped to the same x-value.

Therefore, the table of values given does not represent a function because the x-value, 3.45 has two y-values, 1.72 and 3.36, assigned or mapped to it.

8 0
3 years ago
WILL MARK AS BRAINLIEST. PLS HLP MEEE​
Ket [755]
I’m confused what are u trying to am skmdi
6 0
2 years ago
Read 2 more answers
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