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Yuri [45]
3 years ago
5

Find the measure of ∠ADB ∠ A D B if ∠ADC = 82°

Mathematics
1 answer:
sveta [45]3 years ago
8 0
Assuming CDB is a straight line then angle ADB = 180-82=98
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Question Help Scores of an IQ test have a​ bell-shaped distribution with a mean of 100100 and a standard deviation of 1010. Use
3241004551 [841]

Answer:

a) 95% percentage of people has an IQ score between 80 and 120.

b) 68% percentage of people has an IQ score between 90 and 110.    

c) 2.5% percentage of people has an IQ score greater than 120.          

Step-by-step explanation:

The empirical formula states that:

  • The empirical rule is known as the three-sigma rule or 68-95-99.7 rule.
  • It is a rule which states that for a normal distribution, almost all data falls within three standard deviations of the mean.
  • 68% of data falls within the first standard deviation that is \mu \pm \sigma
  • 95% of data falls within the second standard deviation that is \mu \pm 2\sigma
  • 99.7% of data falls within the third standard deviation that is \mu \pm 3\sigma

a)  percentage of people has an IQ score between 80 and 120

(80, 120) can be written as:

(80, 120) = (100-2(10), 100 + 2(10))\\= (\mu \pm 2\sigma)

Thus, it is the interval within two standard deviation from the mean.

Thus, by empirical formula, 95% percentage of people has an IQ score between 80 and 120.

b) percentage of people has an IQ score between 90 and 110

(90, 110) can be written as:

(90, 110) = (100-1(10), 100 + 1(10))\\= (\mu \pm 1\sigma)

Thus, it is the interval within one standard deviation from the mean.

Thus, by empirical formula, 68% percentage of people has an IQ score between 90 and 110.

c) P(score greater than 120)

= 1 - percentage of score less than 80 - percentage of score between 80 and 120

= 1 - (95\% + 2.5\%) = 2.5\%

From empirical formula,

2.5% percentage of people has an IQ score greater than 120.

6 0
3 years ago
Explain, with a test, why the two triangles in each figure are similar. Find the
frutty [35]

Answer:

x = 3, y = 6

Step-by-step explanation:

In the figure attached,

If ΔADE and ΔABC are similar triangles, their corresponding sides will be in the same ratio.

By this property,

\frac{AB}{AD}=\frac{AC}{AE}=\frac{BC}{DE}

\frac{AB}{AD}=\frac{AC}{AE}

\frac{AD+BD}{AD}=\frac{AE+EC}{AE}

\frac{3}{2}=\frac{x+1.5}{x}

3x = 2x + 3

3x - 2x = 3

x = 3

Similarly, \frac{AB}{AD}=\frac{BC}{DE}

\frac{3}{2}=\frac{y}{4}

y = \frac{3\times 4}{2}

y = 6

7 0
3 years ago
Please explain how to do this im confused
Anit [1.1K]

Answer:

70° , 70°

Step-by-step explanation:

The 2 angles are corresponding and are congruent, then

23x + 1 = 4 + 22x ( subtract 22x from both sides )

x + 1 = 4 ( subtract 1 from both sides )

x = 3

Then the angles are

23x + 1 = 23(3) + 1 = 69 + 1 = 70°

4 + 22x = 4 + 22(3) = 4 + 66 = 70°

8 0
3 years ago
Read 2 more answers
I need help asap!! <br> if p= -1, 5 Rx axis (P)
Evgesh-ka [11]

Answer:

P'(7, 5)

Step-by-step explanation:

Rule for the transformation of a point R_{x=1}(P) defines,

Reflection of a point P(x, y) about a line, x = 1 which is parallel to y-axis.

Line x = 1 works like a mirror so the distance between the line and the image point will be equal to the distance between the line and the original point.

Distance between the line and a point (-1, 5) = 4

Therefore, distance between the line and the image point = 4

Coordinates of the image point will be,

P'(3, 5)

7 0
3 years ago
I need to know the amount of Iodine -131 remaining after 72 days
jenyasd209 [6]

Answer:

131 remaining after 72 days

Step-by-step explanation:


4 0
3 years ago
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