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3 years ago

Which of the following statements are true? Select all that apply.

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

b (?) and c

m and n have the same slope (-2/5) so m//n

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There are 9 boys and 11 girls in a math class. Which ratios compare the number of girls to the number of

igor_vitrenko [27]

9:11, 9/11 are the only ones because girls are first

4 0

3 years ago

Read 2 more answers

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

what are the mean variacne and standard deviatioon of the values? round to the nerates tenth. 11,11,3,1,11

alexdok [17]

Answer:

Mean = 8

Variance = 22

Standard deviation = 4.6904

Step-by-step explanation:

To find out Mean the formula is : total sum of data set / number of values

(11 + 11 + 3 + 1 + 11 + 11) / 6 = 48 / 6 = 8

Mean = 8

Now for variance we will form a table

x 11 11 3 1 11 11

(x - Mean) 3 3 -5 -7 3 3

(x - Mean)² 9 9 25 49 9 9

Now we the formula of variance =

Variance = (9+9+25+49+9+9)/(6-1) = 110/5 = 22

Variance = 22

Now we know Standard deviation = √(variance)

Therefore standard deviation = √22 = 4.6904

Hope this helps!<3

4 0

2 years ago

Read 2 more answers

6) The sum of three consecutive numbers is 120.<br> What is the smallest of the three numbers ?

bekas [8.4K]

Answer:

Step-by-step explanation:

Let the smallest number be n,

then the three numbers are n, n+1 and n+2

Therefore, n+(n+1)+(n+2)=120

Collecting like terms,

n+n+n=120-1-2

3n=117

n=117/3

n=39

Therefore the numbers are 39,40 and 41.

And the smallest number is 39.

8 0

3 years ago

If y varies directly as x and x=2 when y=−4, find y when x=−6.

kakasveta [241]

Answer:

Equation: x × -2 = y

Solution: y = 12

Step-by-step explanation:

if (x = 2) is (y = -4) then (x = 1) is (y = -2) so if (x = -6) is (y = 12) if we follow the equation [x × -2 = y] which was found using the first set of variables and dividing each by 2.

4 0

3 years ago