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Tatiana [17]
3 years ago
12

Need help step by step plz

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

I'm assuming D is the center of the circle.  See the new figure.

Angle BDC = 106 degrees, that's the definition of arc measure.

Triangle BDC is isosceles (two radii make congruent sides) so the two remaining angles in BDC are equal, DBC=DCB=(180-106)/2=37 degrees.

Angle BAC = 106/2 = 53 degrees, subtending the arc of 106 degrees.

Angle CAD = 53/2 = 26.5 degrees because AD is a bisector, the shared hypotenuse of congruent right triangles AED and AFD.

AFD is also congruent to CFD, so angle DCA is also 26.5 degrees

Angle ACB is the sum of DCA and DCB, ACB = 26.5 + 37 = 63.5 degrees

The angle subtends the arc we seek, whose measure must be double:

10x - 23 = 2(63.5) = 127 degrees

10x = 150

x = 15

Answer: 15

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Answer:

P(Ice Cream|Frogtown) = 67.4\%

Step-by-step explanation:

Given

The attached plot

Required

P(Ice Cream|Frogtown)

This is calculated as:

P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}

From the attachment;

P(Ice\ Cream\ n\ Frogtown) = 0.31

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P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}

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It is given that,

There are 29 students in a math class.

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The other two types of students are who completed the assignment and did not complete the assignment.

So, the given data can be formed as a table.

  • There were 22 students who passed the test.
  • There were 20 students who completed the assignment.
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                                         Passed the test     Not passed the test    Total

Completed assignment        18                             -                             20

Not completed assignment   x                             -                                -

Total                                       22                           -                               29

Now, you need to find the probability that a student who did not complete the homework passed the test.

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<u>To find the no.of students completed assignment passed the test :</u>

Let 'x' is the no.of students completed assignment passed the test.

⇒ 18+x = 22

⇒ x = 22 - 18

⇒ x = 4

∴ P(students completed assignment passed the test) = 4 / 29.

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3 years ago
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