1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eva8 [605]
3 years ago
9

The information given represents lengths of sides of a right triangle with c the hypotenuse. Find the correct missing length to

the nearest hundredth.
a=18, b=26, c= ?

A.) 31.62
B.) 31.78
C.) 31.46
D.) 31.16
Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

rule =  {a}^{2}  +  {b}^{2}  =  {c}^{2}

{18}^{2}  +  {26}^{2}  =  {c}^{2}

324 + 676 = 1000

\sqrt{1000}  = 31.62

Answer = A) 31.62

You might be interested in
At least 96.00​% of the data in any data set lie within how many standard deviations of the​ mean? Explain how you arrived at yo
zheka24 [161]

The answer assumes that the question is about the <em>normal distribution</em>.

Answer:

96% of the data in any data set <em>normally distributed</em> is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.

Step-by-step explanation:

The key to solving this question is having into account that exists the <em>standard normal distribution</em> that permits obtaining any probability from any normally distributed data, doing the following transformation:

\\ z = \frac{x-\mu}{\sigma}

That is, in this case, we subtract a given value <em>x</em> from the <em>population mean</em> and then divide the result by the <em>population standard deviation</em>. This is a z-score, and this value is associated with the probability for a <em>standard normal distribution</em>, with a population mean = 0 and population standard deviation = 1.

Fortunately, for the <em>standard normal distribution</em>, there is associated a ubiquitous <em>standard normal table</em> for possible values of <em>z</em> and the corresponding probability. Then, knowing that the data are <em>normally distributed</em> and having both distribution <em>parameters</em>, namely, the <em>population mean</em> and <em>population standard deviation</em>, we can consult any standard normal table to find the probabilities for any data distributed following the normal distribution.

However, even without previously know the values of the normal parameters, the standard normal distribution can tell us how many standard deviations from the mean are 96.00% of the data for every normally distributed population.

<h3>Solving the question</h3>

Having all this information at hand, we know that <em>the z-score value tells us how many standard deviations</em> <em>from the mean</em> are the data normally distributed. As a result, we can determine how many standard deviations below and above the population mean represent the 96.00% of the cases for this normal distribution consulting a <em>cumulative standard normal table from the mean</em>.

If we divide 96.00/2 = 48, that is, 0.48, we need to find the z-score for this probability consulting a <em>cumulative standard normal table from the mean</em>. The values for a z-score for that probability is z=2.05, approximately. So, since the normal distribution is also symmetrical, those values are above and below the mean, that is, z =2.05 (above) and z=-2.05(below).

Thus, 96% of the data in any data set normally distributed is 2.05 <em>standard deviations</em> <em>above</em> and <em>below</em> the mean.  

 

5 0
3 years ago
Point Q was rotated about the origin (0,0) by -165​
Step2247 [10]

Answer:D

Did it on khan academy

7 0
3 years ago
Give all solutions if the nonlinear system of equations, including those with no real complex components.
konstantin123 [22]
\left\{\begin{array}{ccc}y=x^2+6x\\4x-y=-24\end{array}\right\\\\substitute:\\\\4x-(x^2+6x)=-24\\\\4x-x^2-6x+24=0\\\\-x^2-2x+24=0\\\\a=-1;\ b=-2;\ c=24\\\\\Delta=b^2-4ac

\Delta=(-2)^2-4\cdot(-1)\cdot24=4+96=100\\\\x_1=\frac{-b-\sqrt\Delta}{2a};\ x_2=\frac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{100}=10\\\\x_1=\frac{2-10}{2\cdot(-1)}=\frac{-8}{-2}=4;\ x_2=\frac{2+10}{2\cdot(-1)}=\frac{12}{-2}=-6\\\\y_1=4^2+6\cdot4=16+24=40;\ y_2=(-6)^2+6\cdot(-6)=36-36=0\\\\Answer:\\x=4\ and\ y=40\ or\ x=-6\ and\ y=0
4 0
3 years ago
Read 2 more answers
It takes 60 minutes for 7 people to paint 5 walls.
ziro4ka [17]
0.7/1 of a wall per person
3 0
3 years ago
Denine learns that about 3 out of 14 people in Mexico are under the age of 15.
gtnhenbr [62]

Answer:

I belive the answer is 21.42% :)

5 0
3 years ago
Read 2 more answers
Other questions:
  • ( please help this is the last question and i have 4 min left, thank you for the help!)
    15·1 answer
  • Each lap around a park is 1 1⁄5 miles. Kellyn plans to jog at least 7 1⁄2 miles at the park without doing partial laps. How many
    5·1 answer
  • IS 1/2 BIGGER THAN 1/4
    13·2 answers
  • Systems -6=3x-6y, 4x=4+5y
    14·2 answers
  • Please help me i dont know how to do any of this
    7·1 answer
  • Anyone know how to help?
    12·1 answer
  • Which linear function represents the line given by the point-slope equation y +1=-3(x–5)?
    9·2 answers
  • Select the correct answer.
    6·2 answers
  • Divide using a common factor of 2 to find an equivalent fraction for 2/6
    15·1 answer
  • The following formula gives the volume V of a pyramid, where A is the area of the base and h is the height:
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!