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kipiarov [429]
3 years ago
12

Find the derivative of the following function

Mathematics
1 answer:
horrorfan [7]3 years ago
4 0

f(x)=\sqrt{30}\to f'(x)=(\sqrt{30})'=0\\\\Used:\\\\f(x)=constans\to f'(x)=0

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Which linear inequality represents the graph below ​
Contact [7]

Answer:

your worse nightmare MATH

Step-by-step explanation:

4 0
3 years ago
Letter A (please show work!) thanks
jeka94
(37 1/2) /100
37.5/100
anything divided by 100 means you move the decimal point to the left two spaces
answer=0.375
8 0
3 years ago
At a large Midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen
guajiro [1.7K]

Answer:

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

p1 -> 1993

20 out of 100, so:

p_1 = \frac{20}{100} = 0.2

s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04

p2 -> 1997

10 out of 100, so:

p_2 = \frac{10}{100} = 0.1

s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03

Distribution of p1 – p2:

p = p_1 - p_2 = 0.2 - 0.1 = 0.1

s = \sqrt{s_1^2+s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05

Confidence interval:

p \pm zs

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.  

The lower bound of the interval is:

p - zs = 0.1 - 1.645*0.05 = 0.01775


The upper bound of the interval is:

p + zs = 0.1 + 1.645*0.05 = 0.18225


The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

6 0
3 years ago
Nine more than four times a number is the same as one less than twice the number find the number
lianna [129]
The answer is -5. -5 times 4 is -20, plus 9 is -11. -5 times 2 is -10, -1 is -11. -5 works.
5 0
3 years ago
I need help with this. 3x + 5= 35, x =
Novay_Z [31]

Answer:

Step-by-step explanation:

3x + 5 = 35

3x = 30

x = 10

4 0
3 years ago
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