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
ahrayia [7]
3 years ago
8

Triangle XYZ is a right triangle with the right angle at vertex Y.

Mathematics
2 answers:
asambeis [7]3 years ago
5 0
Answers:
Angle X must be 45 degrees.
Angle Z must be 45 degrees.
The sum of angles X and Z must be equal to 90 degrees. 
nasty-shy [4]3 years ago
5 0
Acute
Acute
Equal to
I checked

You might be interested in
An economist studying fuel costs wants to estimate the mean price of gasoline in her state on a certain day. On that day, she ta
irina1246 [14]

Answer:

($2.19,$2.39)

Step-by-step explanation:

khan

6 0
2 years ago
The windows on a building make an array that has 4 rows. Each row has 3 windows
lutik1710 [3]

Answer:

12 windows

When there are arrays, you always do multiplication.

4 windows x 3 rows = 12 windows.

Hope it helps!

7 0
3 years ago
230% of 99 hours is what?
Vesnalui [34]

Answer:

227.7 hours

Step-by-step explanation:

of means multiply and is means equals

230% * 99 = what

Change the percent to decimal form

2.30 * 99 = what

227.7= what

8 0
3 years ago
Read 2 more answers
A 95% confidence interval was computed using a sample of 16 lithium batteries, which had a sample mean life of 645 hours. The co
polet [3.4K]

Answer:

Step-by-step explanation:

Hello!

The mean life of 16 lithium batteries was estimated with a 95% CI:

(628.5, 661.5) hours

Assuming that the variable "X: Duration time (life) of a lithium battery(hours)" has a normal distribution and the statistic used to estimate the population mean was s Student's t, the formula for the interval is:

[X[bar]±t_{n-1;1-\alpha /2}* \frac{S}{\sqrt{n} }]

The amplitude of the interval is calculated as:

a= Upper bond - Lower bond

a= [X[bar]+t_{n-1;1-\alpha /2}* \frac{S}{\sqrt{n} }] -[X[bar]-t_{n-1;1-\alpha /2}* \frac{S}{\sqrt{n} }]

and the semiamplitude (d) is half the amplitude

d=(Upper bond - Lower bond)/2

d=([X[bar]+t_{n-1;1-\alpha /2}* \frac{S}{\sqrt{n} }] -[X[bar]-t_{n-1;1-\alpha /2}* \frac{S}{\sqrt{n} }] )/2

d= t_{n-1;1-\alpha /2}* \frac{S}{\sqrt{n} }

The sample mean marks where the center of the calculated interval will be. The terms of the formula that affect the width or amplitude of the interval is the value of the statistic, the sample standard deviation and the sample size.

Using the semiamplitude of the interval I'll analyze each one of the posibilities to see wich one will result in an increase of its amplitude.

Original interval:

Amplitude: a= 661.5 - 628.5= 33

semiamplitude d=a/2= 33/2= 16.5

1) Having a sample with a larger standard deviation.

The standard deviation has a direct relationship with the semiamplitude of the interval, if you increase the standard deviation, it will increase the semiamplitude of the CI

↑d= t_{n-1;1-\alpha /2} * ↑S/√n

2) Using a 99% confidence level instead of 95%.

d= t_{n_1;1-\alpha /2} * S/√n

Increasing the confidence level increases the value of t you will use for the interval and therefore increases the semiamplitude:

95% ⇒ t_{15;0.975}= 2.131

99% ⇒ t_{15;0.995}= 2.947

The confidence level and the semiamplitude have a direct relationship:

↑d= ↑t_{n_1;1-\alpha /2} * S/√n

3) Removing an outlier from the data.

Removing one outlier has two different effects:

1) the sample size is reduced in one (from 16 batteries to 15 batteries)

2) especially if the outlier is far away from the rest of the sample, the standard deviation will decrease when you take it out.

In this particular case, the modification of the standard deviation will have a higher impact in the semiamplitude of the interval than the modification of the sample size (just one unit change is negligible)

↓d= t_{n_1;1-\alpha /2} * ↓S/√n

Since the standard deviation and the semiamplitude have a direct relationship, decreasing S will cause d to decrease.

4) Using a 90% confidence level instead of 95%.

↓d= ↓t_{n_1;1-\alpha /2} * S/√n

Using a lower confidence level will decrease the value of t used to calculate the interval and thus decrease the semiamplitude.

5) Testing 10 batteries instead of 16. and 6) Testing 24 batteries instead of 16.

The sample size has an indirect relationship with the semiamplitude if the interval, meaning that if you increase n, the semiamplitude will decrease but if you decrease n then the semiamplitude will increase:

From 16 batteries to 10 batteries: ↑d= t_{n_1;1-\alpha /2} * S/√↓n

From 16 batteries to 24 batteries: ↓d= t_{n_1;1-\alpha /2} * S/√↑n

I hope this helps!

4 0
2 years ago
The equation of a line is y = 4x + 15. what is the y-intercept of the line.
Stels [109]

Answer:

15

Step-by-step explanation:

y = 4x + 15 \\ equating \: it \: with \\ y = mx + b \\ we \: find \\ b = 15 \\  \implies \: y - intercept = 15

4 0
3 years ago
Other questions:
  • The heaviest 16% of all men in weight weigh more than how many pounds ?
    8·1 answer
  • What is the rate of change to 2y=14x+6
    6·1 answer
  • A fast-food franchise is considering building a restaurant at a certain location. Based on financial analyses, a site is accepta
    14·1 answer
  • Tamara says she used the GCF to factor the expression 21x + 56xy as 7(3x + 8xy). Is she correct? Explain.
    9·1 answer
  • Which values will complete the table.<br> A<br> B<br> C
    12·1 answer
  • A florist has 130 roses.
    9·1 answer
  • HELP ME!!!! giving 40 points and brainliest!!!!
    15·1 answer
  • Find the value of −12 + 8 −(−9). Question 20 options: 5 −13 −5 13
    10·1 answer
  • The diagonal of a side of rhombus are of equal length. Find the measures of angles of the rhombus.​
    5·1 answer
  • The right rectangular prism is made up of 48 cubes. Each cube has an edge length of inch. What is the volume of this prism?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!