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algol13
3 years ago
10

Evaluate the function. f(x)=-x^2+x F= -1

Mathematics
1 answer:
noname [10]3 years ago
6 0

Answer:

f(-1)=(-1)²+-1=1-1=0

i think it is your answer

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A worn, poorly set-up machine is observed to produce components whose length X follows a normal distribution with mean 14 centim
Akimi4 [234]

Answer:

74.86% probability that a component is at least 12 centimeters long.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 14

Variance is 9.

The standard deviation is the square root of the variance.

So

\sigma = \sqrt{9} = 3

Calculate the probability that a component is at least 12 centimeters long.

This is 1 subtracted by the pvalue of Z when X = 12. So

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

Z = \frac{12 - 14}{3}

Z = -0.67

Z = -0.67 has a pvalue of 0.2514.

1-0.2514 = 0.7486

74.86% probability that a component is at least 12 centimeters long.

6 0
3 years ago
Can someone solve this and explain?
stich3 [128]
The Answer would be 32
3 0
3 years ago
how much money has to be invested at 5.9% interest compounded continuously to have 15,000 after 12 years?
Scrat [10]
Hi there

The formula is
A=pe^rt
We need to solve for p where
A future value 15000
P present value?
E constant
R interest rate 0.059
T time 12 years
So when you solve for p you get
P=A÷e^rt
P=15,000÷e^(0.059×12)
P=7,389.43

Hope it helps
6 0
3 years ago
Read 2 more answers
Round to the nearest hundredth:<br><br> 0.13658537
Montano1993 [528]

Answer is 0.14

in nearest

3 0
3 years ago
Read 2 more answers
Even more picrews of mine............... THIS IS THE LAST ONE I WILL MAKE K? (not to be mean)
Elena-2011 [213]

Answer:

Honestly you should enter the art show or something in your city/country

Step-by-step explanation:

It is good.

6 0
2 years ago
Read 2 more answers
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