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nydimaria [60]
3 years ago
8

Please give me the answer

Mathematics
1 answer:
Lunna [17]3 years ago
3 0

Answer:

37°

Step-by-step explanation:

As we know the sum of angles of a triangle is 180  degrees.

Therefore,

angle A + angle B + angle C = 180°

In the given picture two angles are given and we have to find out the third angle.

x° + 45° + 98° = 180°

x° + 143° = 180°

x° = 180° - 143°

x° = 37°

The value of x in the triangle shown is 37°.

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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

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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
What is the slope formula of (4,2) and (7, 6.5)
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Suppose the given coordinates are represented as,

\begin{gathered} (x_1,y_1)=(4,2) \\ (x_2,y_2)=(7,6.5) \end{gathered}

Then, the formula for slope can be expressed as,

\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{6.5-2}{7-4} \end{gathered}

Solving it,

m=\frac{4.5}{3}=1.5

The slope is 1.5.

The formula of (10, 8) anjd (-5,8) is

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In the diagram below, the horizontal lines are parallel. Find the value of x
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