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kogti [31]
3 years ago
13

ASK A QUESTION Weekly wages at a certain factory are normally distributed with s mean of $400 and a standard deviation of $50. F

ind the probability that a worker selected at random makes between $250 and $300.
Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Weekly wages are normally distributed with a mean of $400

standard deviation of $50

we are supposed to find the probability that a worker selected at random makes between $250 and $300.

The z-Score can be written as

z=\frac{x-\mu}{\sigma } \\ \\ z=\frac{300-400}{50}=-2\\ \\  z=\frac{250-400}{50}=-3\\

Now as we can write the probability as

P(-3\leq z\leq -2)=P( z\leq -2)-P( z\leq -3)\\ \\

Now using the Z-score table we can write

P(-3\leq z\leq -2)=0.0227-0.0014\\ \\ P(-3\leq z\leq -2)=0.0213

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Bill and Mischa share their profit in a ratio of 9:5
Yuliya22 [10]

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4 0
3 years ago
H(x)= ​(x−5) ​2 ​​ +4(x−5)+4 ​ ​1 ​​ space, h, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, le
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<span>The function is undefined when x = 3. You have a function where the numerator is 1 and the denominator is an expression with the variable x. That function will be undefined at those points where the denominator has a value of zero. So let's look at just that part of the function and solve it for where its value is zero. (x-5)^2 + 4(x-5) + 4 = 0 Perform the squaring of (x-5) x^2 - 10x + 25 + 4(x-5) + 4 = 0 Distribute the 4 x^2 - 10x + 25 + 4x - 20 + 4 = 0 Combine common terms (add -10x to 4x, and add 25 to -20 to 4) x^2 - 6x + 9 = 0 We now have a quadratic equation with a=1, b = -6, and c=9. Solve using the quadratic formula, giving a root of x = 3. Verify by seeing if x=3 gives a denominator of 0.. (x-5)^2 + 4(x-5) + 4 = y (3-5)^2 + 4(3-5) + 4 = y (-2)^2 + 4(-2) + 4 = y 4 + -8 + 4 = y 0 = y</span>
6 0
4 years ago
Find the radius of a circle whose circumference is 31.4 centimeters. Approximate Π as 3.14.
sladkih [1.3K]

The circumference of every circle is   (pi) times (diameter).

The diameter is (2 x radius), so we can write

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The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:

                  (31.4 cm)  =  (3.14) x (2 x radius)

Divide each side by  3.14:       (31.4 cm)/(3.14)  =  2 x radius

Divide each side by 2 :            (31.4 cm) / (2 x 3.14)  =  radius

                                                             5 cm  =  radius 
8 0
3 years ago
Read 2 more answers
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