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
Sauron [17]
2 years ago
6

Find the length of the third side. If necessary, write in simplest radical form. 2741 8

Mathematics
1 answer:
ki77a [65]2 years ago
3 0

Answer:

<u>10</u>

Step-by-step explanation:

Let the missing side be 'x'.

Using Pythagorean Theorem, we can find the missing side.

  • x² + 8² = (2√41)²
  • x² + 64 = 4(41)
  • x² + 64 = 164
  • x² = 100
  • x = <u>10</u>
You might be interested in
Figure ABCD is similar to figure MNKL. Write a proportion that contains BC and KL.
joja [24]
B/C = K/L because they are similar
7 0
3 years ago
For parts a and bâ, use technology to estimate the following. âa) The critical value of t for a 90â% confidence interval with df
rjkz [21]

Answer:

a) For the 90% confidence interval the value of \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:

t_{\alpha/2} =\pm 2.35

b) For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:

t_{\alpha/2} =\pm 2.62

Step-by-step explanation:

Previous concepts

The t distribution (Student’s t-distribution) is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

The degrees of freedom represent "the number of independent observations in a set of data. For example if we estimate a mean score from a single sample, the number of independent observations would be equal to the sample size minus one."

Solution to the problem

Part a

For the 90% confidence interval the value of \alpha=1-0.9=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the t distribution with df =3. And we can use the folloiwng excel code: "=T.INV(0.05,3)" and we got:

t_{\alpha/2} =\pm 2.35

Part b

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the t distribution with df =106. And we can use the folloiwng excel code: "=T.INV(0.005,106)" and we got:

t_{\alpha/2} =\pm 2.62

3 0
3 years ago
Rachel needs two tables for her birthday party. How many chairs will she need?
loris [4]

Answer: it Depends

Step-by-step explanation:

Not enough info given

3 0
3 years ago
Read 2 more answers
Solve 5(x-1)^1/3 = 20
dangina [55]

Answer:

x = 65

Step-by-step explanation:

To solve the equation, we write it in radical form:

5\, \sqrt[3]{x-1} = 20

Then, we divide both sides by 5 to isolate the root:

\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4

and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:

x-1=4^3\\x-1=64

now we add 1 to both sides to isolate x:

x = 65

8 0
3 years ago
Please help no links please!
kotykmax [81]
It would be D. Very positive!!
6 0
3 years ago
Read 2 more answers
Other questions:
  • Lamar works as a tutor for $7 an hour and as a waiter for $8 an hour . this month he worked a combined total of 92 hours at his
    8·1 answer
  • Why does insurance often provide "peace of mind"?
    11·1 answer
  • Please help me with problem 5 of graphs
    5·2 answers
  • Six subtracted from x is less than 25
    6·1 answer
  • Help plz...
    8·1 answer
  • What is the value of ine^4?
    12·2 answers
  • A rectangle has a length of 8.5 inches and a width of 6 inches. This rectangle is dilated by a scale factor of 3.2 to create a n
    14·1 answer
  • What is the period of the function F(x)=1/2csc(6x-1)<br> A:pi/3<br> B:6pi<br> C:pi/2<br> D:2pi
    9·2 answers
  • Find the value of each of the following: exponents
    7·1 answer
  • Write four solutions for the following equation 4x+7y=12
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!