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ratelena [41]
3 years ago
11

At the sewing store, Eva bought a bag of mixed buttons. She got 64 large buttons and 16 small buttons. What percentage of the bu

ttons were large?
Mathematics
1 answer:
DIA [1.3K]3 years ago
7 0

Answer:

80% of the buttons were large.

Step-by-step explanation:

Recall that percentages are fractions.

We first need to find the total number of buttons that Eva bought

64 + 16 = 80

Then we need to divide 64 into 80 as a fraction of the whole (80 is our whole)

64 ÷ 80 = 0.8

To convert our decimal to a percentage, we must multiply it by 100.

0.8 * 100% = 80%

Therefore, 80% of the buttons were large.

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PLEASE HELP (50 Points)....
Vedmedyk [2.9K]

Total deposit = 645.30 + 645.30 = $1290.60

Total withdrawals= 158.25 +168.36+157.42+148.46 = $632.49

Balance = 398.26 + 1290.60 - 632.49 = $1056.37

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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
Find X, AB, BC, AC if B is the midpoint of AC
Artemon [7]

Step-by-step explanation:

it all starts with the understanding that "midpoint" means that the line segments on both sides have the exact same length.

this is the same as "cut a pizza or a cake in half".

therefore, we know

10x + 1 = 8x + 13

2x + 1 = 13

2x = 12

x = 6

AB = 10x + 1 = 10×6 + 1 = 60 + 1 = 61

BC = AB but to control : 8×6 + 13 = 48+13 = 61

correct.

AC = AB + BC = 61 + 61 = 122

7 0
1 year ago
Check my answer?
Effectus [21]
D = 2r => 12.6 = 2*r => r=6.3
A = π*r^2 = (3.14) * (6.3)^2 = (3.14)*(39.69) = 124.6266 which is approximately 124.63

Hope this helps!
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