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katrin2010 [14]
3 years ago
15

weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of 50. find the probabil

ity that a worker selected at random makes between $300 and $400​
Mathematics
1 answer:
GalinKa [24]3 years ago
3 0

Answer:

47.5%

Step-by-step explanation:

Find the z-scores:

z = (x − μ) / σ

z₁ = (300 − 400) / 50 = -2

z₂ = (400 − 400) / 50 = 0

300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.

From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations.  Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.

95% / 2 = 47.5%

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melamori03 [73]

Answer: 7 BATCHES

Step-by-step explanation: to produce one batch it takes 7/10 of oatmeal

Now the factory uses 4 9/10 batch of oatmeal

1=7/10 OATMEAL

X=4 9/10 OATMEAL

X=(7/10*1)/4 9/10

=4 9/10*10/7

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=7

5 0
2 years ago
Can someone please help me with this question about given two points?Please help ASAP!!! :(
KonstantinChe [14]

Answer:

<em>The order of subtraction is not important in any of the coordinates</em>

Step-by-step explanation:

Distance Between Two Points

Given two points (x1,y2) (x2,y2), the distance between them is given by the formula

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

The difference between both coordinates is squared, then added, and finally extracted the square root.

Based on the principle that

a*a=a^2

and also

(-a)(-a)=a^2

We can notice it doesn't matter the sign of a the square of a is always positive. If we had subtracted in the opposite way, the distance would have resulted in exactly the same. In other words, the above formula is exactly the same as

d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}

As seen, it applies for both coordinates

6 0
3 years ago
Find the missing angle.
Colt1911 [192]
128 pls tell me if I’m wrong

6 0
3 years ago
Juan's pit crew was able to get his car back onto the racetrack 0.4 seconds faster than Paul's crew. Paul's crew took 1.3 second
9966 [12]

Answer:

6.7 seconds

Step-by-step explanation:

Juan= Paul-0.4

Paul=Terry+1.3

We can substitute Terry+1.3 for Paul since they are equal

juan=(Terry-0.4)+1.3

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juan=(5.8-0.4)+1.3

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4 0
3 years ago
In circle C, r = 32 units.
lawyer [7]

Answer:

the area of a circle is \pirsqr

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Step-by-step explanation:

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3 years ago
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