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
Nastasia [14]
3 years ago
7

A computer monitor is listed as being 17 inches. This is the diagonal across the screen. If the screen measures 10 inches in hei

ght, what is the actual width of the screen to the nearest inch?
Mathematics
1 answer:
Aneli [31]3 years ago
3 0

diagonal = sqrt(l^ + w^2)

17 = sqrt(10^2 + x^2)

17^2 = 10^2 + x^2

289 = 100 + x^2

189 = x^2

x = sqrt(189) = 13.747

X = 13.75

 width is 13.75 inches

You might be interested in
A field researcher is gathering data on the trunk diameters of mature pine and spruce trees in a certain area. The following are
lidiya [134]

Answer:

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

Step-by-step explanation:

Using a .10 significance level, can he conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree

The null hypothesis is that they are equal(that is, subtraction between the means is 0), while the alternate hypothesis is that they are greater(that is, subtraction between the means is larger than 0). So

H_0: \mu_1 - \mu_2 = 0

H_a: \mu_1 - \mu_2 > 0

In which \mu_1 is the mean pine trees height while \mu_2 is the mean spruce trees height.

The test statistic is:

z = \frac{X - \mu}{s}

In which X is the sample mean, \mu is the value tested at the null hypothesis and s is the standard error.

0 is tested at the null hypothesis:

This means that \mu = 0

Mean trunk diameter (cm) 35 30:

Pine trees - 35

Spruce trees - 30

The sample mean is given by the subtraction of the means. So

X = 35 - 30 = 5

Sample Size 40 80

Population variance 160 160

This means that the standard error for each sample is given by:

s_1 = \frac{\sqrt{160}}{\sqrt{40}} = 2

s_1 = \frac{\sqrt{160}}{\sqrt{80}} = \sqrt{2}

The standard error of the difference is the square root of the sum squared of the standard error of each sample.

s = \sqrt{2^2 + (\sqrt{2})^2} = \sqrt{6} = 2.4495

Test statistic:

z = \frac{X - \mu}{s}

z = \frac{5 - 0}{2.4495}

z = 2.04

Pvalue of the test:

Probability of a sample mean larger than 5, which is 1 subtracted by the pvalue of Z when X = 5.

Looking at the z-table, z = 2.04 has a pvalue of 0.9793.

1 - 0.9793 = 0.0207

As the pvalue of the test is 0.02097 < 0.1, using a .10 significance level, he can conclude that the average trunk diameter of a pine tree is greater than the average diameter of a spruce tree.

8 0
3 years ago
Which of the following inequalities are correct?
zysi [14]

Answer:

Theyre all correct

Step-by-step explanation:

5 0
3 years ago
There are 10 roller coasters at 6 flags, and you only have time to ride 3 before the park closes. How many different ways can yo
Charra [1.4K]

Answer:

  120

Step-by-step explanation:

If order doesn't matter, there are 10 ways to chose the first ride, 9 ways to choose the second, and 8 ways to choose the third. This product (720) has you riding the same 3 coasters in 6 different orders. Dividing by 6 gives ...

  720/6 = 120 different combinations of roller coasters

_____

This number might be written as 10C3 (choose 3 from 10). The meaning of that notation is ...

  nCk = n!/(k!(n-k)!)

  10C3 = 10!/(3!·7!) = 10·9·8/(3·2·1) = 120

4 0
3 years ago
Read 2 more answers
Did I get these all right
Leviafan [203]
Yep! They are all right! Great job, could write a bit better.... sorry
3 0
3 years ago
Y=-2/3x+2 <br> Y=3x-4<br> Y=4x-6<br> Algebra 1
stepan [7]
Just choose x = 0,1,2,3 and find y for each x, for each of the tables.
7 0
3 years ago
Other questions:
  • 0.12 or 1.2% which is greater
    8·2 answers
  • WILL GIVE BRAINLIEST. PLZ HELP. 23points :D
    13·2 answers
  • The point-slope form of a line that has a slope of –2 and passes through point (5, –2) is shown below. y + 2 = -2 (x-5). What is
    12·1 answer
  • Three fourths of 9.30
    5·1 answer
  • If sin⁡ θ=− 8/17 and 270°&lt;θ&lt;360°, what is cos⁡ θ?
    6·1 answer
  • If X + Y means X is the brother of Y, X - Y means X is the sister of Y, and X * Y means X is the father of Y, then which
    11·1 answer
  • If you were given the following statements write your conclusion <br> if you are given :
    12·1 answer
  • I have nothing to say about this because the question is in the picture
    6·1 answer
  • 1+1= what plz help i have been stuck on this for five days plz plz plz help me
    15·2 answers
  • If the log↓b(a)=0, what is the value of a?<br>explain why log↓0 (3) and log↓1 (3) do not exist. ​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!