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Anestetic [448]
3 years ago
9

A manufacturing process outputs parts having a normal distribution with a mean of 30 cm and standard deviation of 2 cm. From a p

roduction sample of 80 parts, what proportion of the sample can be expected to fall between 28 and 32 cm
Mathematics
1 answer:
Arisa [49]3 years ago
7 0

Answer:

68% of the sample can be expected to fall between 28 and 32 cm

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 30

Standard deviation = 2

What proportion of the sample can be expected to fall between 28 and 32 cm

28 = 30-2

28 is one standard deviation below the mean

32 = 30 + 2

32 is one standard deviation above the mean

By the Empirical Rule, 68% of the sample can be expected to fall between 28 and 32 cm

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DOES ANYONE KNOW THE ANSWER?????????
givi [52]

There's only information to answer question C.

We can only know that 32 marbles were chosen. (yellow and black)

Why?

To answer the first two questions (a and b), we need to know the total number of marbles, so, we can only answer the last question (c).

We know that 7/10 of the 20 yellow marbles were chosen.

So, calculating we have:

\frac{7}{10}*20=14(yellow)

Also, we know that 18 black marbles were chosen, so, the total of marbles chosen is equal to 32 (yellow marbles and black marbles)

TotalMarbles=14(yellow)+18(black)=32marbles

Have a nice day!

8 0
3 years ago
If f(x)=x2-2x and g(x) =6x+4, for whichvalue of x dose (f+g)(x)=0
Juliette [100K]

Answer:

The value of x that makes the equation equal to 0 is -2.

Step-by-step explanation:

In order to find this, we first must create the composite function using the designated operation. The operation is addition, so we just add them together.

f(x) + g(x) = (f+g)(x)

(x^2 - 2x) + (6x + 4) = (f+g)(x)

x^2 + 4x + 4 = (f+g)(x)

Now, in order to find when this is equal to 0, we need to factor.

x^2 + 4x + 4 = 0

(x + 2)(x + 2) = 0

When it is fully factored, we can set each parenthesis equal to 0 in order to find the value. Since the parenthesis are exactly the same, we only have to do this once.

x + 2 = 0

x = -2

6 0
3 years ago
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