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
olasank [31]
2 years ago
10

Find the value of x. show work

Mathematics
1 answer:
dedylja [7]2 years ago
5 0
<h2><u><em>Answer:</em></u></h2><h2><u><em>x = √77</em></u></h2><h2><u><em>or</em></u></h2><h2><u><em>x = 8.77</em></u></h2>

<u><em></em></u>

Step-by-step explanation:

it's a right triangle

Pythagorean theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

x² = 9² - 2²

x² = 81 - 4

x² = 77

x = √77

or

x = 8.77

---------------------

You might be interested in
I need help again please 5/6-1/6
Murljashka [212]
The answer is 2/3 in lowest terms.
6 0
3 years ago
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
The temperature dropped 2 °F every hour for 9 hours. What was the total number of degrees the temperature changed in the 9 hours
Paul [167]

Answer: 18

Step-by-step explanation:

2 degrees per hour

9 hours

1hour = 2 degrees

2hours= 4 degrees

3hr= 6 degrees

4hr= 8 degrees

5hr=10 degrees

6hr= 12 degrees

7hr= 14 degrees

8hr= 16 degrees

9hr= 18 degrees

So you are basically doing 2x9 to get your answer

4 0
3 years ago
If 12% of the total amount is ₹108. what is the total amount
AlekseyPX

Answer:

let \: the \: total \: amunt \: be \: x \\ 12\% \:   \times x = 108 \\  \frac{12}{100}  \times x = 108 \\ x = 108 \times  \frac{100}{12 }  \\ x = 900 \\  \: total \: amount = 900

Step-by-step explanation:

please mark me as brainlest

6 0
2 years ago
Read 2 more answers
The graph is
Archy [21]

Answer: increasing

and asymptote

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • If RT is a diameter of Q, Find m A.88°<br> B.89°<br> C.92°<br> D.101°
    15·1 answer
  • Whats 20 divided by one fourth
    11·1 answer
  • Every 3 seconds , 4 cubic feet of water pass under the bridge. what is the unit rate?
    14·1 answer
  • What is the equation, in slope-intercept form, of the line that is perpendicular to the line
    8·1 answer
  • Helpppp pleaseee
    9·2 answers
  • Consider the given rectangle with heightequals4timeswidth. Let x be the width of the rectangle. Write an expression for the​ per
    6·1 answer
  • Fourteen of the 32 students in the class are boys. What is the ratio of boys to girls in the class?
    14·1 answer
  • To move toward a personal vision, what smaller steps should you take?
    13·2 answers
  • -15<br> π<br> + 12<br> π<br> - 5<br> π<br> =
    8·1 answer
  • Use a graphing calculator to solve (1/4) ^ x+2 = 6:
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!