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Rom4ik [11]
4 years ago
13

In Exercise, find the derivative of the function. y = ex - 4

Mathematics
1 answer:
Marianna [84]4 years ago
8 0

Answer: The required derivative would be \dfrac{dy}{dx}=e^x

Step-by-step explanation:

Since we have given that

y=e^x-4

We need to find the derivative of the above function:

As we know that

\dfrac{d}{dx}e^x=e^x

and

derivative of constant term = 0

So, the derivative  w.r.t. x would be

\dfrac{dy}{dx}=e^x-0=e^x

Hence, the required derivative would be \dfrac{dy}{dx}=e^x

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Six female cats are chosen at random. what is the probability that exactly one of them weighs more than 4.5 kg?
Crank
Can you add more to the question?

3 0
3 years ago
Through(3,8); parallel to f(x)= 4x-2
blondinia [14]
Parallel = same slope
f(x) = 4x + b
8 = 4(3) + b, b = -4
Equation: f(x) = 4x - 4
8 0
3 years ago
A normal population has a mean of 19 and a standard deviation of 5.
dangina [55]

Answer:

a) Z = 1.2

b) 38.49% of the population is between 19 and 25.

c) 34.46% of the population is less than 17.

Step-by-step explanation:

Problems of normally distributed samples can be 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}

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. If we need to find the probability that the measure is larger than X, it is 1 subtracted by this pvalue.

For this problem, we have that

A normal population has a mean of 19 and a standard deviation of 5, so \mu = 19, \sigma = 5.

(a) Compute the z value associated with 25

This is Z when X = 25

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

Z = \frac{25 - 19}{5}

Z = 1.2

(b) What proportion of the population is between 19 and 25?

This is the pvalue of Z when X = 25 subtracted by the pvalue of Z when X = 19.

X = 25 has Z = 1.2, that has a pvalue of 0.8849.

X = 19 has Z = 0, that has a pvalue of 0.5000.

So 0.8849-0.500 = 0.3849 = 38.49% of the population is between 19 and 25.

(c) What proportion of the population is less than 17?

This is the pvalue of Z when X = 17

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

Z = \frac{17 - 19}{5}

Z = -0.40

Z = -0.40 has a pvalue of 0.3446.

This means that 34.46% of the population is less than 17.

7 0
3 years ago
which of the following are valid probability distributions for a discrete random variable? check all that apply
djverab [1.8K]
A. <span>0.16 + 0.193 + 0.222 + 0.233 + 0.067 + 0.125 = 84
</span>probabilities are all between 0 and 1 but does not add to 1.
<span>B. 0.35+0.18+ 0.21+ 0.06+ 0.17+ 0.03 = 1
</span>probabilities are all between 0 and 1 and also <span>add to 1.
</span><span>C. (0.01) 11+ (0.01) 12+ (0.01) 13 = 0.11+0.12+0.13 =0.36
</span>probabilities are all between 0 and 1 but does not add to 1.
D. 0.16+0.12+ 0.02+ 0.08+ 0.22+ 0.05+ 0.15+ 0.02+ 0.18 = 1
probabilities are all between 0 and 1 and also add to 1.
E. 0.12-0.02+0.18+0.08+0.15+0.05+0.16+0.27+0.02+ 0.36 -0.15 -0.22 =1
probabilities are all between 0 and 1 and also <span>add to 1.</span>
3 0
4 years ago
Read 2 more answers
How do you solve X^2 - 64 + 6x +9
Leno4ka [110]

Answer:

add -64+9

Step-by-step explanation:

8 0
4 years ago
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