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]
4 years ago
9

In the diagram, diameter AC¯¯¯¯¯ intersects chord BD¯¯¯¯¯ at point E such that AE = 2.5 units and BE = 3.4 units. Point O is the

center of the circle, and the radius of the circle is 5 units. What is the approximate length of DE¯¯¯¯¯?
See attachment for picture/answer choices

Mathematics
1 answer:
grin007 [14]4 years ago
3 0
By using the intersecting chord theorem, we can solve for the length of the line segment DE. The theorem <span>states that for an intersecting chord AB and CD the lengths A×B is always equal to C×D no matter where the chords are. Calculation is as follows:

AE x CE = DE x BE
2.5 x 7.5 = DE x 3.4
DE = 5.5 units</span>
You might be interested in
I feel like it is add x but i am bad at math
skelet666 [1.2K]
Add 3x is the right answer
5 0
3 years ago
Read 2 more answers
What is the image of the point (3,4) after a rotation of 90 degree counterclockwise about the origin
jeka57 [31]

Answer:

(- 4, 3 )

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y ) → (- y, x ) , then

(3, 4 ) → (- 4, 3 )

6 0
3 years ago
A quality control engineer is interested in estimating the proportion of defective items coming off a production line. In a samp
fenix001 [56]

Answer:

The lower bound of a 99% C.I for the proportion of defectives = 0.422

Step-by-step explanation:

From the given information:

The point estimate = sample proportion \hat p

\hat p = \dfrac{x}{n}

\hat p = \dfrac{55}{100}

\hat p = 0.55

At Confidence interval of 99%, the level of significance = 1 - 0.99

= 0.01

Z_{\alpha/2} =Z_{0.01/2} \\ \\ = Z_{0.005} = 2.576

Then the margin of error E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1-\hat p)}{n}}

E = 2.576 \times \sqrt{\dfrac{0.55(1-0.55)}{100}}

E = 2.576 \times \sqrt{\dfrac{0.2475}{100}}

E = 2.576 \times0.04975

E = 0.128156

E ≅ 0.128

At 99% C.I for the population proportion p is: \hat p - E

= 0.55 - 0.128

= 0.422

Thus, the lower bound of a 99% C.I for the proportion of defectives = 0.422

6 0
3 years ago
PLEASE HELP: Question above ☝☝☝
Xelga [282]
I'm actually pretty sure it's B
7 0
4 years ago
Read 2 more answers
At 7:00 pm, the temperature was -7 °F. The next morning the temperature had raised
denis23 [38]

Answer:

49 degrees

Step-by-step explanation

5 0
3 years ago
Read 2 more answers
Other questions:
  • winter coats went on sale for 60% off if the sale price is $20 what is the original price for the winter coat
    8·1 answer
  • Reduce this algebraic fraction (x-y/x^2-1)(x-1/x^2-y^2)
    6·2 answers
  • Question 1 Multiple Choice Worth 1 points)
    6·1 answer
  • Which degree of rotation is equivalent to a 270 degree clockwise rotation?
    11·1 answer
  • What is the square root of 16x36?
    14·1 answer
  • 84 is 15% of what number
    7·2 answers
  • Three students have proposed these ways to describe when two lines l and m are perpendicular
    9·1 answer
  • Which point represents the opposite of -2? 1 + 1 35 33 2 В​
    15·1 answer
  • What is the least whole number that is the solution of 4r-4.9&gt;14.95<br><br> fast 30 points please
    7·1 answer
  • Ellen makes and sells bookmarks. She graphs the number of bookmarks sold compared to the total money earned. What is the rate of
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!