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ehidna [41]
3 years ago
13

Find the measure of the missing angle using the triangle angle sum theorem

Mathematics
2 answers:
Greeley [361]3 years ago
7 0

Answer:

m∠60

Step-by-step explanation:

30 + 90 = 120

180-120=60

Svetllana [295]3 years ago
6 0

Answer:

x = 60°

Step-by-step explanation:

A triangle is equal to 180°

Make an equation and solve:

30° + 90° + x = 180°

120° + x = 180°

x = 180° - 120°

<u>x = 60°</u>

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A recent Gallup poll found that 36% of U.S. teens aged from 13 to 17 years old have a computer with [(6)] Internet access in the
In-s [12.5K]

Answer:

Step-by-step explanation:

a) The population parameter is the population proportion.

b) Confidence interval is written as

Sample proportion ± margin of error

Margin of error = z × √pq/n

Where

z represents the z score corresponding to the confidence level

p = sample proportion. It also means probability of success

q = probability of failure

q = 1 - p

p = x/n

Where

n represents the number of samples

x represents the number of success

From the information given,

n = 1028

p = 36/100 = 0.36

q = 1 - 0.36 = 0.64

To determine the z score, we subtract the confidence level from 100% to get α

α = 1 - 0.99 = 0.1

α/2 = 0.01/2 = 0.005

This is the area in each tail. Since we want the area in the middle, it becomes

1 - 0.05 = 0.995

The z score corresponding to the area on the z table is 2.58. Thus, confidence level of 99% is 2.58

Therefore, the 99% confidence interval is

0.36 ± 2.58 × √(0.36)(0.64)/1028

The lower limit of the confidence interval is

0.36 - 0.039 = 0.321

The upper limit of the confidence interval is

0.36 + 0.039 = 0.399

Therefore, with 99% confidence interval, the proportion of U.S. teens aged from 13 to 17 years old that have a computer with Internet access in their rooms is between 0.321 and 0.399

c) for a margin of error of 1%, that is 1/100 = 0.01, then

0.01 = 2.58 × √(0.36)(0.64)/n

0.01/2.58 = √0.2304/n

0.00387596899 = √0.2304/n

Square both sides

0.00001502314 = 0.2304/n

n = 0.2304/0.00001502314

n = 15336

5 0
3 years ago
Given the exponential decay function
pogonyaev
The answer is a I hope this helps your welcome
5 0
2 years ago
A sphere has a radius of 6 meters. A second sphere has a radius of 3 meters. What is the difference of the volumes of the sphere
cricket20 [7]
∆volume = 4/3 *pi * (R^3 -r^3 )
= 4/3 *pi*((6)^3 -(3)^3)
= 252*pi
= 791.68 m^3
7 0
3 years ago
Read 2 more answers
Bella spent 15% of her paycheck at the mall, and 40% of that was spent at the
Bingel [31]

Answer:

$229

Step-by-step explanation:

Pay check = P

so

Total spent movie  T = $13.74

T = 0.4 *0.15* P = $13.74

The 40% on the Movie Theatre spending is part of the 15% spending at the mall.

So 40% of 15% of the Pay Check = $13.74

P = $13.74 / (0.4*0.15)  =  34.35/0.15 = 229

5 0
3 years ago
Read 2 more answers
Can someone remind me how to add negative and positive numbers together along with subtracting them correctly? Please provide ex
Zarrin [17]
To add a negative and a positive I usually just subtract them so ex: -5+4=-1
and to subtract them I add the numbers together so -5-4=-9 so its basically the opposite   
7 0
3 years ago
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