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lora16 [44]
2 years ago
6

Which angles are complementary to each other, will give brainliest

Mathematics
1 answer:
gayaneshka [121]2 years ago
8 0

3 nd 4

Step-by-step explanation:

hope this helps

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The city of Madison regularly checks the quality of water at swimming beaches located on area lakes. Fifteen times the concentra
Maksim231197 [3]

Answer:

The sample standard deviation is 393.99

Step-by-step explanation:

The standard deviation of a sample can be calculated using the following formula:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

Where:

s= Sample standart deviation

N= Number of observations in the sample

{\displaystyle \textstyle {\bar {x}}}= Mean value of the sample

and \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} } simbolizes the addition of the square of the difference between each observation and the mean value of the sample.

Let's start calculating the mean value:

\bar {x}=\frac{1}{N}  \sum_{i=1}^{N}x_{i}

\bar {x}=\frac{1}{15}*(180+1600+90+140+50+260+400+90+380+110+10+60+20+340+80)

\bar {x}=\frac{1}{15}*(3810)

\bar {x}=254

Now, let's calculate the summation:

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=(180-254)^2+(1600-254)^2+(90-254)^2+...+(80-254)^2

\sum_{i=1}^{N}(x_{i}-\bar {x}) ^{2} }=2173160

So, now we can calculate the standart deviation:

s=\sqrt[ ]{\frac{1}{N-1} \sum_{i=1}^{N}(x_{i}-{\displaystyle \textstyle {\bar {x}}}) ^{2} }

s=\sqrt[ ]{\frac{1}{15-1}*(2173160)}

s=\sqrt[ ]{\frac{2173160}{14}}

s=393.99

The sample standard deviation is 393.99

3 0
3 years ago
If M is the set of all square numbers less than 80 and N is the set of all non-negative even numbers that are under 30, Write th
Nat2105 [25]

Answer:

Step-by-step explanation:

All square numbers are numbers formed by squaring a single number. If M is the set of all square numbers less than 80, then

M = (4, 9, 16, 25, 49, 64)

Even numbers are numbers that are divisible by 2 without remainder.

If N is the set of all non-negative even numbers that are under 30, then

N = (2, 4, 6, 8 ,10, 12, 14, 16,18,20, 22, 24, 26,28)

It will not include 30 because we want even numbers under 30

8 0
3 years ago
Sasha brought chocolate and vanilla cupcakes to school for her birthday. 90 students decided to take a cupcake, and 9 of them pi
Wittaler [7]

Answer:

we need to to find what percentage 9 is of 90

from looking at this we can see that 90 is just 9*10

so 9% of students took a vanilla cupcake

Hope This Helps!!!

4 0
2 years ago
Write a proportion you could use to convert 2.5 gallons to quarts.
marusya05 [52]
We know there are 4 quarts in a gallon, so how many quarts in 2.5 gallons anyway?

\bf \begin{array}{ccll}
quarts&gallons\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4&1\\
x&2.5
\end{array}\implies \cfrac{4}{x}=\cfrac{1}{2.5}\implies \cfrac{4\cdot 2.5}{1}=x
5 0
3 years ago
90 dollars ratio in 1:2:3
Mnenie [13.5K]

Answer:

3:6:9

Step-by-step explanation:

1/1+2+3 × 90 = 15

2/1+2+3 × 90 = 30

3/1+2+3 × 90 = 45

8 0
2 years ago
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