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3 years ago

Sixteen is 64% of what number?

Mathematics

1 answer:

SpyIntel [72]3 years ago

4 0

Answer:

the top one is 25

Step-by-step explanation:

the second one is 112

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A laboratory tested 85 chicken eggs and found that the mean amount of cholesterol was 190 milligrams. Assume that the sample sta

Serjik [45]

Answer: $(182.356,\ 197.644)$

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.95=0.05$

Sample size : n=85

Critical value : $z_{\alpha/2}=1.96$

Sample mean : $\overline{x}=190$

Standard deviation : $\sigma=11.7$

The confidence interval for population mean is given by :-

$\overline{x}\pm z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=190\pm(1.96)\dfrac{11.7}{\sqrt{9}}\\\\=190\pm7.644\\\\=(190-7.644,\ 190+7.644)=(182.356,\ 197.644)$

Thus, the 95% confidence interval for the true mean cholesterol content, μ, of all such eggs = $(182.356,\ 197.644)$

Hence, we conclude that the true population mean of amount of cholesterol lies between 182.356 and 197.644.

5 0

3 years ago

How to add fractions with different denominators and negative numbers?

Kisachek [45]

Let find the least of common multiple = LCM it’s for the denominators.
Multiple of the numerator then the denominator to get the denominators
Don’t forget to to add the numerator but leave the denominators the same

8 0

4 years ago

Prove that the points A (-3,-1), B(6,5) and C (3,3) are collineas

Keith_Richards [23]

Answer:

nose porque está en una idioma que no se

7 0

3 years ago

Read 2 more answers

Find the derivative of f(x) =( -7/x) at x = -3. pls help !!

jeka57 [31]

Answer:

$\displaystyle f'(-3) = \frac{7}{9}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Calculus

Derivatives

Derivative Notation

Derivative of a constant is a 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Quotient Rule]: $\displaystyle \frac{d}{dx} [\frac{f(x)}{g(x)} ]=\frac{g(x)f'(x)-g'(x)f(x)}{g^2(x)}$

Step-by-step explanation:

Step 1: Define

$\displaystyle f(x) = \frac{-7}{x}$

$\displaystyle x = -3$

Step 2: Differentiate

Quotient Rule: $\displaystyle f'(x) = \frac{\frac{d}{dx}[7]x - \frac{d}{dx}[x](-7)}{x^2}$
Basic Power Rule: $\displaystyle f'(x) = \frac{(0)x - x^{1 - 1}(-7)}{x^2}$
Simplify: $\displaystyle f'(x) = \frac{(0)x - x^0(-7)}{x^2}$
Simplify: $\displaystyle f'(x) = \frac{(0)x - 1(-7)}{x^2}$
Multiply: $\displaystyle f'(x) = \frac{0 + 7}{x^2}$
Add: $\displaystyle f'(x) = \frac{7}{x^2}$