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
choli [55]
3 years ago
14

HG is the perpendicular bisector of FK. What is the length of GH? 8 9 15 34

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
4 0

Answer:

GH=15

Step-by-step explanation:

HK= FK/2= 16/2= 8

Using pythagoras theorem in triangle GHK,

GH²= GK²-HK²

= 17²-8²

= 225

GH= √225

=15

You might be interested in
8. [15 + (5 - 2)^2] ÷ 6 = <br><br>9. 4^3 + [7 - 2 ( 3 1/4)] - 9.2 = <br><br>​
Y_Kistochka [10]

Answer:

8. 24

9.55.3

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Are 3.25/2.5 , 5.98/4.6 and 6.76/5.2 proportional?​
natali 33 [55]

yes, they are all proportional

7 0
3 years ago
Read 2 more answers
N minus 6 divided by 3 equals negative 4
igor_vitrenko [27]
N=-6
-6 minus 6 is -12
-12 /3 is -4 since the negative doesn’t cancel out
5 0
3 years ago
Does anyone know the answer to this?
Alekssandra [29.7K]

Answer:

asa

Step-by-step explanation:

the qngles which are the round things surround the side which are the two lines

8 0
3 years ago
Read 2 more answers
Many high school students take the AP tests in different subject areas. In 2007, of the 144,796 students who took the biology ex
Nataly [62]

Answer:

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

p_A represent the real population proportion female for Biology

\hat p_A =\frac{84199}{144796}=0.582 represent the estimated proportion female for biology

n_A=144796 is the sample size for A

p_B represent the real population proportion female for calculus AB

\hat p_B =\frac{102598}{211693}=0.485 represent the estimated proportion female for Calculus AB

n_B=211693 is the sample size required for B

z represent the critical value for the margin of error  

The population proportion have the following distribution  

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})  

The confidence interval for the difference of two proportions would be given by this formula  

(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}  

For the 90% confidence interval the value of \alpha=1-0.90=0.1 and \alpha/2=0.05, with that value we can find the quantile required for the interval in the normal standard distribution.  

z_{\alpha/2}=1.64  

And replacing into the confidence interval formula we got:  

(0.582-0.485) - 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.0942  

(0.582-0.485) + 1.64 \sqrt{\frac{0.582(1-0.582)}{144796} +\frac{0.485(1-0.485)}{211693}}=0.09978  

And the 90% confidence interval would be given (0.0942;0.09978).  

We are confident at 90% that the difference between the two proportions is between 0.0942 \leq p_A -p_B \leq 0.09978

5 0
3 years ago
Other questions:
  • I Can't understand this one
    9·2 answers
  • The following equation of a quadratic function is given in standard form. f(x) = x²- 2x + 2 Determine the vertex for each quadra
    10·1 answer
  • 6 sheep or 8 cows can graze a field in 34 days. How long would 9 sheep and 5 cows take to graze the same field?
    8·2 answers
  • 9. Find the area of the shaded region below,
    11·1 answer
  • What is the length of segment AB? (4 points)<br> 10<br> 12<br> 13<br> 15
    14·1 answer
  • Which letter labels a vertex?<br> A only<br> B<br> C<br> Аand D
    13·1 answer
  • I will brainliest u <br> Please help!
    13·2 answers
  • What is the slope of the line represented by 3x - 7y = 28?
    12·1 answer
  • Find the volume of the prism
    8·1 answer
  • A cement company is making 8 solid-cement spheres. Each sphere has a diameter of 2.5 ft.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!