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lyudmila [28]
3 years ago
6

A ballroom in a hotel has the shape shown in the diagram. The hotel manager needs to determine how much carpet is needed to reca

rpet this area. All angles are right angles. The area of the ballroom is A) 42 yd2 B) 72 yd2 C) 82 yd2 Eliminate D) 100 yd2
Mathematics
2 answers:
Marat540 [252]3 years ago
4 0
The answer is B....................................................................................
padilas [110]3 years ago
4 0

Answer:

Step-by-step explanation:

yeah its B

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Some types of algae have the potential to cause damage to river ecosystems. Suppose the accompanying data on algae colony densit
Phantasy [73]

Answer:

y=-2.95836 x +234.56159

Step-by-step explanation:

We assume that th data is this one:

x: 50, 55, 50, 79, 44, 37, 70, 45, 49

y: 152, 48, 22, 35, 43, 171, 13, 185, 25

a) Compute the equation of the least-squares regression line. (Round your numerical values to five decimal places.)For this case we need to calculate the slope with the following formula:

m=\frac{S_{xy}}{S_{xx}}

Where:

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}

So we can find the sums like this:

\sum_{i=1}^n x_i =50+ 55+ 50+ 79+ 44+ 37+ 70+ 45+ 49=479

\sum_{i=1}^n y_i =152+ 48+ 22+ 35+ 43+ 171+ 13+ 185+ 25=694

\sum_{i=1}^n x^2_i =50^2 + 55^2 + 50^2 + 79^2 + 44^2 + 37^2 + 70^2 + 45^2 + 49^2=26897

\sum_{i=1}^n y^2_i =152^2 + 48^2 + 22^2 + 35^2 + 43^2 + 171^2 + 13^2 + 185^2 + 25^2=93226

\sum_{i=1}^n x_i y_i =50*152+ 55*48+ 50*22+ 79*35+ 44*43+ 37*171+ 70*13+ 45*185+ 49*25=32784

With these we can find the sums:

S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=26897-\frac{479^2}{9}=1403.556

S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}=32784-\frac{479*694}{9}=-4152.22

And the slope would be:

m=-\frac{-4152.222}{1403.556}=-2.95836

Nowe we can find the means for x and y like this:

\bar x= \frac{\sum x_i}{n}=\frac{479}{9}=53.222

\bar y= \frac{\sum y_i}{n}=\frac{694}{9}=77.111

And we can find the intercept using this:

b=\bar y -m \bar x=77.1111111-(-2.95836*53.22222222)=234.56159

So the line would be given by:

y=-2.95836 x +234.56159

7 0
3 years ago
Liliana is renting a beach house for a family vacation. The house charges a $75 cleaning fee plus $95 per night. If Liliana want
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95n+75 is less than or equal to 645. 645-75=570. 95n is less than or equal to 570. 570/95=6. A maximum of six nights
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3 years ago
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Rewrite 7x^5/2 in simplest radical form
Diano4ka-milaya [45]

Answer:

7x²sqrt(x)

Step-by-step explanation:

7x^(5/2)

7x^(2½)

7x^(2+½)

7x² × x^½

7x²sqrt(x)

sqrt: square root

4 0
3 years ago
0.7 of 12.99<br> how do you solve it?
Mekhanik [1.2K]

Answer:

9.093

Step-by-step explanation:

Of means multiply

.7 * 12.99

9.093

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3 years ago
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I need a math problem for my 7th grade math teacher, can anybody help me please?
Lelu [443]

Answer:

Whats the problem? and what class (algebra...)

Step-by-step explanation:

4 0
3 years ago
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