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riadik2000 [5.3K]
3 years ago
7

Evaluate the expression

Mathematics
2 answers:
agasfer [191]3 years ago
5 0

Solution :

\hookrightarrow \:  - { \bigg( \dfrac{1}{9} \bigg) }^{3}

\hookrightarrow \:  -  \dfrac{1}{729}

Brrunno [24]3 years ago
5 0

Answer:

-1/729

Step-by-step explanation:

{- ( \frac{1}{9})}^{3}  \\  =  - ( \frac{ {1}^{3} }{ {9}^{3}} ) \\  =  - ( \frac{1}{729}) \\  =  \frac{ - 1}{729}

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What is the area of this parallelogram?
Alex Ar [27]
Formula for area of parallelogram:
A= bh
Where b is the length of base and h is the height.
Here b=2.3+4.5 = 6.8 cm
and h= 4.5 cm
Put values in formula.

A= 6.8 x 4.5
A=30.6 cm²

Answer: 30.6 cm
²


7 0
2 years ago
My brain stopped. I need help
Alisiya [41]

Answer:

x = 99°

y = 91°

Step-by-step explanation:

For Cyclic quadrilateral, the sum of the opposite angles = 180°

Let's find x :-

x + 81° = 180°

x = 180 - 81

x = 99°

Let's find y :-

y + 89° = 180°

y = 180 - 89

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Hope this helps you !

5 0
2 years ago
Martha measures the big prize wheel on a game show and calculates that it has a circumference of 12.56 yards. What is the prize
trasher [3.6K]
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Hope this helps!

7 0
2 years ago
Human body temperatures have a mean of 98.20° F and a standard deviation of 0.62° F. Sally's temperature can be described by z =
irina1246 [14]

Answer:

Sally's temperature is 97.27 °F.

Step-by-step explanation:

All the information given in the question tells us that the human body temperatures are normally distributed with a population's mean = 98.20°F and a standard deviation = 0.62°F.

The question gives us Sally's temperature in a <em>z-score</em>. We have to remember that the <em>standard normal distribution</em> is a particular case of a <em>normal distribution</em> where the mean = 0 and the standard deviation = 1.

Using <em>the standard normal distribution,</em> we can determine every probability associated with a normal distribution "transforming" the raw scores, coming from normally distributed data, into z-scores.

A z-score gives us the distance from the population's mean and is in standard deviation units. So, a z = 1.5 tells us that the value is 1.5 standard deviations <em>above the mean</em>. Conversely, a z = -1.5 tells us that the raw score is also 1.5 standard deviation from the mean, but in the opposite direction, that is, <em>below the mean</em>.

The formula for a z-score is as follows:

\\ z = \frac{x - \mu}{\sigma} (1)

Where

\\ x\;is\;the\;raw\;score.

\\ \mu\;is\;the\;population\;mean.

\\ \sigma\;is\;the\;population\;standard\;deviation.

Then to find <em>x </em>(or the raw score, that is, Sally's temperature), we need to solve the formula (1) for it to finally solve the question.

Then

\\ \mu = 98.20^\circF °F

\\ \sigma = 0.62^\circF °F

\\ z = -1.5

Thus (with no units)

\\ -1.5 = \frac{x - 98.20}{0.62}

\\ (-1.5*0.62) = x - 98.20

\\ (-1.5*0.62) + 98.20 = x

\\ x = (-1.5*0.62) + 98.20

\\ -0.93 + 98.20

\\ x = 97.27°F

Thus, Sally's temperature is \\ x = 97.27°F (rounding the answer to the nearest hundredth).

8 0
3 years ago
Read 2 more answers
Solve equation 3x-5y=7 5x-2y=-1 by elimination
kakasveta [241]

Answer:

x = -1, y = -2.

Step-by-step explanation:

Using the elimination method,

multiply the first eqn by 2 and the 2nd eqn by 5.

6x - 10y = 14

25x - 10y = -5

Subtract one of the new equations from the other

-19x = 19

x = -1

Sub x=-1 into the 2nd eqn

-5 - 2y = -1

y = -2

Hence x = -1, y = -2.

7 0
3 years ago
Read 2 more answers
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