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frosja888 [35]
3 years ago
11

Please help thanks very much

Mathematics
1 answer:
Svetach [21]3 years ago
8 0
Let x = attitude length

x/5 = 14/x
x^2 = 5(14)
x^2 = 70
x = √70

answer is A. √70

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The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4. This distribution
ankoles [38]

Answer:

a) Normal Distribution

b) 0.146

c) 0.070

Step-by-step explanation:

We are given the following information in the question:

The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation 1.4

a) \bar{x}: mean number of accidents per week at the intersection during a year (52 weeks)

According to central limit theorem, as the sample size becomes larger, the distribution of mean approaches a normal distribution.

Since we have a large sample, the approximate distribution of \bar{x} is a normal distribution with

\text{Mean} = 2.2\\\text{Standard Deviation} = \displaystyle\frac{\sigma}{\sqrt{n}} = \frac{1.4}{\sqrt{52}} = 0.19

b) P(mean is less than 2)

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(x > 610)

P( \bar{x} < 2) = P( z < \displaystyle\frac{2 - 2.2}{0.19}) = P(z < -1.052)

Calculation the value from standard normal z table, we have,  

P(\bar{x} < 2) = 0.146

c) P(fewer than 100 accidents at the intersection in a year)

P(x < 100)

P( \bar{x} < \frac{100}{52}) =P(\bar{x} < 1.92) =P(z < \displaystyle\frac{1.92 - 2.2}{0.19}) = P(z < -1.473)

Calculation the value from standard normal z table, we have,  

P(x

7 0
3 years ago
Lines m and n are parallel. Which of the other 5 named angles have a measure of 110°?
Cloud [144]

Answer:

2 and angle that is left of 5

Step-by-step explanation:

Angle 2 is vertical from 110, and vertical angles are congruent. From this, we can figure out that 2 and 3 (they're supplementary) are 70. Angles 5 and 3 are Alternate Interior Angles, and therefore must be congruent. The one to the left of 5 is supplementary to it, and therefore must be 110. Your answers are angle 2 and the angle that is left of 5.

4 0
4 years ago
J’ai besoin d’aide pour cette question.<br> Je vais mettre branliest.
Vilka [71]

Reponse:

Pour la mere, la variable independente est l'heure de se coucher. Les resultats scolaires sont la variable dependente.

Pour Tania, c'est le contraire. La variable independente est les resultats scolaires, et la variable dependente est l'heure de se coucher.

6 0
4 years ago
.
ValentinkaMS [17]

Answer:

152.4 cm

Step-by-step explanation:

multiply the length value by 30.48

3 0
3 years ago
What is the measure?
Ber [7]
97+ 54= 151
180-151= 29

29 is the answer
8 0
3 years ago
Read 2 more answers
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