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svetlana [45]
3 years ago
10

Math question 2! Thanks if you help

Mathematics
2 answers:
ruslelena [56]3 years ago
8 0
The answer to this question is 15.6m
Greeley [361]3 years ago
6 0

Answer: 15.6 m

Step-by-step explanation:

Two legs of right angle in right triangle given are 12m and 10m.

For the third side use Pythagoras theorem:

C^2= a^2+b^2

C=√[(12^2)+(10^2)]

C=√[144+100]

C=√[244]= 15.6 m

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Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14
denis-greek [22]

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

4 0
3 years ago
Using point slope form determine the equation of a line that is perpendicular to the line y=3x+4 and passes through point (6,-3)
siniylev [52]
I'm not gonna use point-slope form but I will tell you the equation in slope-intersect form. Perpendicular means that the slopes of the 2 equations have to be opposite reciprocals. That means if one is 2, the other slope has to be -1/2. Since the slope is 3, the slope of the equation you are making is -1/3. using desmos.com, I found out that the y-intercept has to be -1, so the equation is y=-1/3x-1
8 0
4 years ago
Need help please!! Will give points
Nataly [62]

Answer:

1. \bar X=5.10

2. \sigma=0.47

3.\sigma^2=0.22


Step-by-step explanation:

<u>QUESTION 1</u>

The given data set for the expenditure is

4.85,5.10,5.50,4.75,4.50,5.00,6.00

The formula for calculating the mean is given by,

\bar X=\frac{\sum x}{n}


We need to add all the expenditure and divide by the total number of days.

\bar X=\frac{4.85+5.10+5.50+4.75+4.50+5.00+6.00}{7}


This gives us,

\bar X=\frac{35.7}{7}


\Rightarrow \bar X=5.10 to the nearest hundredth.


<u>QUESTION 2</u>

The standard  deviation of the data set is given by the formula;


\sigma =\sqrt{\frac{\sum(x-\bar X)^2}{n} }


This implies that,

\sigma =\sqrt{\frac{(4.85-5.10)^2+(5.10-5.10)^2+(5.50-5.10)^2+(4.75-5.10)^2+(4.50-5.10)^2+(5.00-5.10)^2+(6.00-5.10)^2}{7} }


This will give us,

\sigma =\sqrt{\frac{(-0.25)^2+(0.00)^2+(0.40)^2+(-0.35)^2+(-0.60)^2+(-0.10)^2+(0.90)^2}{7} }


\sigma =\sqrt{\frac{0.0625+0+0.16+0.1225+0.36+0.01+0.81}{7} }


\sigma =\sqrt{\frac{61}{280} }


\sigma =0.466775

to the nearest hundredth,

\sigma =0.47.


<u>QUESTION 3</u>

The variance is the square of the standard deviation.


\sigma^2 =(0.46675)^2


\sigma^2 =0.217857


To the nearest hundred gives,

\sigma^2 =0.22











3 0
3 years ago
The ratio of boys to girls in Mrs. Ronilo's math class is 3 to 2. What percent of the class is boys?
maksim [4K]
60% please make me as the most brainlyest
5 0
3 years ago
Read 2 more answers
Use the protractor tool to measure the angles in the diagram
nordsb [41]

Answer:30

150

Obtuse

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Step-by-step explanation:

6 0
3 years ago
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