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Iteru [2.4K]
2 years ago
5

What is the measure of angle BCD? 98 110 82 70

Mathematics
1 answer:
Dafna11 [192]2 years ago
4 0

Answer:

82

Step-by-step explanation:

opposite angles in a cyclic quadrilateral are supplimentary

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In a survey of 2264 adults, 729 say they believe in ufos. construct a 95 confidence interval for the population proportion of ad
Andreyy89

90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ].

Here, we have given:

Number of adults (n) = 2272

Number of adults who believe in UFO (x) = 724

Sample proportion (p) = x/n

p = 724 / 2272

p = 0.3187

now, let q = 1 - p

q = 1 - 0.3187

q = 0.6813

Confidence level → 90%

The 90% confidence interval for population proportion is

[ p - 1.645\frac{\sqrt{pq} }{\sqrt{n}} ,p + 1.645\frac{\sqrt{pq} }{\sqrt{n}} ]

where 1.645 is Zac value at 90% confidence level.

p - 1.645\frac{\sqrt{pq} }{\sqrt{n}}  = 0.3187 - 0.0161 = 0.3026

p + 1.645\frac{\sqrt{pq} }{\sqrt{n}} = 0.3187 + 0.0161 = 0.3348

90% confidence interval for the population proportion is

[ 0.3026, 0.3348 ]

Hence, With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the giver confidence interval [ 0.3026, 0.3348 ]

Learn more about " Population Proportion " from here: brainly.com/question/15087042

#SPJ4

5 0
2 years ago
The distance between each base on a field is 90 ft. How far does a catcher have to throw the ball from home plate to second base
Gnoma [55]

Step-by-step explanation:

A baseball field is in the shape of a square (or diamond).  Home plate and second base are opposite corners of each other.  So the distance is equal to the diagonal of the square.

Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.

Using Pythagorean theorem:

c² = a² + b²

c² = (90 ft)² + (90 ft)²

c = 90√2 ft

c ≈ 127 ft

7 0
4 years ago
The length of a chalkboard is 5 feet.the width is 10 ft. mr Jones has 20 feet of string to place around it. Ms coley cuts off 3
11Alexandr11 [23.1K]
Mr jones does not have enough string to place around the chalkboard
4 0
3 years ago
Read 2 more answers
I don't understand how to begin this problem
Ronch [10]
I would first add 5 and 2 together, then multiply that by 3. Finally you would subtract the 1. After solving for what is inside the parentheses you would multiply it by 2 for your final answer.

2•(3(5+2)-1)
2•(3(7)-1)
2•(21-1)
2•(20)
40
7 0
3 years ago
T
ad-work [718]

Answer:

Present age

Son: 15

Father: 45

Step-by-step explanation:

Remark

Thank you for the translation. Without it, the problem would be impossible -- at least for me.

Givens

Let the present age of the father = x

Let the present age of the son = y

Solution

x + y = 60

How many years will pass? You could say it's z.

x + z = y                          When z years pass, the son will be his father's present age.

x + z + y + z = 120          when z is added to both their current ages, the result is 120                   Collect like terms

       

x + y + 2z = 120            

<u>x + y         = 60  </u>            Subtract The very first equation

2z = 60                          Divide by 2

z = 60/2                         30 years have passed.

z = 30

x + z = y

x + 30 = y                       Substitute x + 30 for the present y value (the father).

x + x + 30 = 60

2x = 30

x = 15

x + y = 60

15 + y = 60

y = 60 - 15

y = 45

So the son's age right now is 15

The father's age right now is 45

8 0
3 years ago
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