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almond37 [142]
2 years ago
12

There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chai

rs be lined up?
Explain your answer using complete sentences.
Mathematics
1 answer:
natali 33 [55]2 years ago
5 0

Answer:

The number of possible ways can the chairs be lined up is 2 rows of 41.

Given that,

There are 82 chairs at a birthday party.

The chairs need to be lined up in equal-sized rows.

Based on the above information, the calculation is as follows:

= 2 \times 41=2×41

= 82 chairs

Here 2 denotes the rows.

Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.

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An equation whose variables are polar coordinates is called a ____________
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An equation whose variables are polar coordinates is called a polar equation. These equation are characterized by an r as a function an angle. Polar equations can be written in rectangular coordinates by certain relationships. An example of a polar equation would be r = 2sin∅.
4 0
3 years ago
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You start driving north for 9 miles, turn right, and drive east for another 40 miles. At the end of driving, what is your straig
Vsevolod [243]

The straight line distance from the starting point is 41 miles.

<u>Explanation:</u>

Given:

Distance covered towards north, n = 9 miles

Distance covered towards east, e = 40 miles

Distance from the origin to the end, x = ?

If we imagine this, then the route forms a right angle triangle

where,

n is the height

e is the base

x is the hypotenuse

Using pythagoras theorm:

(x)² = (n)² + (e)²

(x)² = (9)² + (40)²

(x)² = 1681

x = 41 miles

Therefore, the straight line distance from the starting point is 41 miles.

5 0
2 years ago
What are the roots of the quadratic equation X² + 4X + 4. How many roots are there.
kogti [31]
If we set the equation equal to 0, we can factor it to find its roots:

x² + 4x + 4 = 0
(x + 2)(x + 2) = 0
x = -2

This graph has one root, a double root, at -2.  This means that a single point, which must be the vertex of the parabola, touches the x-axis at (-2, 0)
3 0
3 years ago
A random sample of 10 shipments of stick-on labels showed the following order sizes.10,520 56,910 52,454 17,902 25,914 56,607 21
sammy [17]

Answer:

Confidence Interval: (21596,46428)

Step-by-step explanation:

We are given the following data set:

10520, 56910, 52454, 17902, 25914, 56607, 21861, 25039, 25983, 46929

Formula:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.  

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean =\displaystyle\frac{340119}{10} = 34011.9

Sum of squares of differences = 551869365.6 + 524322983.6 + 340111052.4 + 259528878 + 65575984.41 + 510538544 + 147644370.8 + 80512934.41 + 64463235.21 + 166851472.4 = 2711418821

S.D = \sqrt{\frac{2711418821}{9}} = 17357.09

Confidence interval:

\mu \pm t_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

t_{critical}\text{ at degree of freedom 9 and}~\alpha_{0.05} = \pm 2.2621

34011.9 \pm 2.2621(\frac{17357.09}{\sqrt{10}} ) = 34011.9 \pm 12416.20 = (21595.7,46428.1) \approx (21596,46428)

7 0
3 years ago
What is the circumference of a circle with a radius of 54 m
Verizon [17]

Answer:

339.42m

Step-by-step explanation:

Circumference of a circle=2x22/7x54

=339.42m

4 0
3 years ago
Read 2 more answers
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