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3 years ago

Write 2/4 in lowest terms

Mathematics

1 answer:

ycow [4]3 years ago

7 0

Answer:

1/2

Step-by-step explanation:

Divide it by 2 on both sides. 2/2 is 1. 4/2 is 2. So 1/2

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7 penguins cost 188.88 how much does one cost

stepan [7]

Answer:

26.98

Step-by-step explanation:

188.88/7= 26.9828571 (round up)

4 0

3 years ago

Sodas in a can are supposed to contain an average 12 oz. This particular brand has a standard deviation of 0.1 oz, with an avera

hoa [83]

Answer:

The probability is $P(X < 12) = 0.99286$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 12 \ oz$

The standard deviation is $\sigma = 0.1 \ oz$

The sample mean is $\= x = 12.1 \ oz$

The sample size is n = 6 packs

The standard error of the mean is mathematically represented as

$\sigma_{\= x } = \frac{\sigma}{\sqrt{n} }$

substituting values

$\sigma_{\= x } = \frac{0.1}{\sqrt{6} }$

$\sigma_{\= x } = 0.0408$

Given that the can’s contents follow a Normal distribution then then the probability that the mean contents of a six-pack are less than 12 oz is mathematically represented as

$P(X < 12) = P ( \frac{X - \mu }{ \sigma_{\= x }} < \frac{\= x - \mu }{ \sigma_{\= x }} )$

Generally $\frac{X - \mu }{ \sigma_{ \= x }} = Z (The \ standardized \ value \ of \ X )$

$P(X < 12) = P ( Z < \frac{\= x - \mu }{ \sigma_{\= x }} )$

substituting values

$P(X < 12) = P ( Z < \frac{12.2 -12 }{0.0408} )$

$P(X < 12) = P ( Z < 2.45 )$

From the normal distribution table the value of $P ( Z < 2.45 )$ is

$P (Z < 2.45)0.99286$

=> $P(X < 12) = 0.99286$

4 0

3 years ago

A truck can be rented from company A for $100 a day plus $0.20 per mile. Company b charges $80 a day plus $0.30 per mile to rent

Fittoniya [83]

Answer:

2000

Step-by-step explanation:

A(m) = 100 + 0.20m

B(m) = 80 + 0.3m

---------------------------

For company A to have a better deal, the truck must be driven more than __ miles per day.

Solve::

100 + 0.2m < 80 + 0.3m

-------

20 < 0.1m

m > 2000/1 = 2000 miles

---------------

2500 mi

4 0

3 years ago

Which two expressions are equivalent?

JulsSmile [24]

Answer:

Step-by-step explanation:

4 0

4 years ago

Which equation is the inverse of y = 9x2 - 4?

m_a_m_a [10]

Answer:

The inverse will be:

$y' = \frac{\sqrt{x+4}}{3}$

Step-by-step explanation:

In order to find the inverse of the equation, we do a variable change, since we are finding the inverse, :

$f(x) = 9x^{2} - 4$

$y = 9x^{2} - 4$

$x = 9y' ^{2} - 4$

Now solve for y'.

First add 4 in both sides of the equation and change to the left y'.

$x + 4= 9y'^{2} - 4+4$

$9y'^{2}$ = x + 4

Second divide by 9

$9y'^{2}$ /9 = (x + 4)/9

$y'^{2}$ = (x + 4)/9

Now you will have to clear y, with the square root.

$[tex]y'^{\frac{2}{2}} = \sqrt{x + 4} / \sqrt{9}$ [/tex] =

Simplifying terms

$y' = \frac{\sqrt{x+4}}{3}$

$f^{-1}(x) = \frac{\sqrt{x+4}}{3}$

You can check the answer by doing the evaluation of the following equation:

(f o $f^{-1}$ ) (x)

substitute the equation for y' or inverse function $f^{-1}$

f( $\frac{\sqrt{x+4} }{3}$ )

Now substitue the value into f(x)

You will have

$= 9(\frac{\sqrt{x+4} }{3}} )^{2} - 4\\\\Solving\\\\9(\frac{{x+4} }{9}} ) - 4$

5 0

3 years ago