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3 years ago

Five number have amean of 12,when one number is removed, the mean becomes 11,what is the removed number

Mathematics

1 answer:

Ugo [173]3 years ago

5 0

Answer:

The removed number is 16

Step-by-step explanation:

Five numbers have a mean of 12.

Now;

Mean = Σx/x

Thus; Σx = 12 × 5 = 60

Now,we are told that if one number is removed, the mean is 11.

Thus;

(60 - x)/4 = 11

60 - x = (11 × 4)

60 - x = 44

x = 60 - 44

x = 16

Thus,the removed number is 16

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3 years ago

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3 years ago

Review the attachments. Review the process of solving an equation and fill in the blanks.

Nezavi [6.7K]

Answer:

1) Combine like terms

2) $\sqrt[3]{x} =3$

3) cube both sides of the equation

4) $4\sqrt[3]{27} +8\sqrt[3]{27}=36$

5) 4(3) + 8(3) = 36

Step-by-step explanation:

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2 years ago

Point C is the center of dilation. Line segment B A is dilated to create line segment B prime A prime. The length of C A is 4. T

saw5 [17]

Answer:

Step-by-step explanation:

Given

See attachment for figure

$CA = 4$

$CA' = 16$

Required

The scale factor (k)

Since point C is the center of dilation, the scale factor (k) is calculated using:

$k = \frac{CA + CA'}{CA}$

So, we have:

$k = \frac{4+16}{4}$

$k = \frac{20}{4}$

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8 0

3 years ago

Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?

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Answer:

$\displaystyle 64$

General Formulas and Concepts:

Calculus

Limits

Limit Rule [Variable Direct Substitution]: $\displaystyle \lim_{x \to c} x = c$

Limit Rule [Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to c} x^n = c^n$

Limit Property [Multiplied Constant]: $\displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle \lim_{x \to 0} f(x) = 4$

Step 2: Solve

Rewrite [Limit Property - Multiplied Constant]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4$
Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)$
Simplify: $\displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64$

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

3 0

3 years ago