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3 years ago

Multiplying by 0.25 is the same as decreasing by

Mathematics

1 answer:

Helen [10]3 years ago

6 0

Step-by-step explanation:

multiplying by 0.25 is same as find the 1/4 of a number. it can also be said the number is reduced by 75% of itself or number is reduced by 3/4th of itself.

For example let the number be 100.

0.25*100=25 also 100/4=25 or 100-0.75*100= 25 or, 100-(3/4*100)= 25

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What is the value of x, if the perimeter of the rectangle is 10? This is the problem :

klemol [59]

Answer:

i think is 20 0r 22

Step-by-step explanation:

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4 years ago

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What percent is 11 out of 20?

gladu [14]

Answer:

55%

Step-by-step explanation:

Make 11 out of 20 as a fraction:

$\frac{11}{20}$

11 ÷ 20 is 0.55.

To make a decimal a percent, you multiply it by 100. So,

0.55 x 100 = 55

= 55%

So, the answer is 55%

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3 years ago

Find the arc length of the given curve between the specified points.

yuradex [85]

Answer:

4.25

Step-by-step explanation:

Given:

$f(x) = \frac{x^3}{12} + \frac{1}{x} \\\\Arc Length = \int\limits^a_b {\sqrt{1 + (f'(x))^2} } \, dx \\f '(x) = \frac{x^2}{6} - \frac{1}{x^2}\\\\f'(x)^2 = (\frac{x^2}{6} - \frac{1}{x^2})^2 = \frac{x^4}{36} + \frac{1}{x^4} - \frac{1}{3}\\\\1 + f'(x)^2 = \frac{x^4}{36} + \frac{1}{x^4} + \frac{2}{3}\\\\\= \frac{x^8 + 36 + 12x^4}{36x^4}\\\\= \frac{(x^4 + 6)^2}{36x^4}\\\\=\sqrt{1 + f'(x)^2} = \sqrt{ \frac{(x^4 + 6)^2}{36x^4}}\\\\= \frac{x^2}{6} + \frac{1}{x^2} \\\\$

$ArcLength = \int\limits^4_1 {\frac{x^2}{6} + \frac{1}{x^2} } \, dx \\= (\frac{x^3}{18} - \frac{1}{x})\limits^4_1\\\\= (\frac{64}{18} - \frac{1}{4}) - (\frac{1}{18} - 1)\\\\= \frac{17}{4}= 4.25$

8 0

3 years ago

Mike compared the y-intercept of the graph of the function

aleksklad [387]

Answer:

-4

Step-by-step explanation:

Given function

f(x) = 5x + 12

From the table we get the function g(x), use pairs (1, 10) and (3, 14)

The slope:

m = (14 - 10)/(3 - 1) = 4/2 = 2

The y-intercept:

10 = 2(1) + b
b = 10 - 2
b = 8

The function g(x) is found as:

g(x) = 2x + 8

The y- intercept of f (x) is subtracted from the y-intercept of g (x):

8 - 12 = -4

4 0

3 years ago

Read 2 more answers

Over the past several years, the proportion of one-person households has been increasing. The Census Bureau would like to test t

Ganezh [65]

Answer: z =2.39

Step-by-step explanation:

Given :

$H_0: p \leq0.23\\\\ H_a: p > 0.23$

A random sample of 136 households found that 43 consisted of one person.

i.e. Sample size : n= 136

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Test statistic for proportion :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$\Rightarrow z=\dfrac{0.3162-0.23}{\sqrt{\dfrac{0.23(1-0.23)}{136}}}\\\\\Rightarrow\ z=\dfrac{0.0862}{\sqrt{0.00130220588235}}\\\\\Rightarrow\ z=\dfrac{0.0862}{0.0360860898734}\\\\=2.38873206552\approx2.39$

Hence, the value of the test statistic: z =2.39

5 0

3 years ago