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cricket20 [7]
3 years ago
8

Solve the following problems. Given: AB ≅ BC and AE = 10 in, m∠FEC = 90° m∠ABC = 130°30' Find: m∠EBC, AC http://homework.russian

school.com/resource?key=00j0d

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0

Because BA ≅ BC, we know the triangle is isosceles. Because ∠FEC=90°, we know BE is a median and angle bisector of ∠ABC.

Hence ...

... AC = 2×AE = 20 in

... ∠EBC = (1/2)×∠ABC = 65°15'

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A particular battery claims to have a mean life of 400 hours with a standard deviation of 30 hours. Approximately what percent o
Svetach [21]

Using the normal distribution, it is found that 25.14% of the batteries will last more than 420 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean \mu and standard deviation \sigma is given by:

Z = \frac{X - \mu}{\sigma}

  • The z-score measures how many standard deviations the measure is above or below the mean.
  • Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

In this problem, we have that the mean and the standard deviation are given, respectively, by:

\mu = 400, \sigma = 30.

The proportion of the batteries will last more than 420 hours is <u>one subtracted by the p-value of Z when X = 420</u>, hence:

Z = \frac{X - \mu}{\sigma}

Z = \frac{420 - 400}{30}

Z = 0.67

Z = 0.67 has a p-value of 0.7486.

1 - 0.7486 = 0.2514.

0.2514 = 25.14% of the batteries will last more than 420 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

3 0
2 years ago
44cm is rounded to nearest whole cm. Write down the maximum possible length it could have been.
sesenic [268]

Answer:

44.49 repeated

Step-by-step explanation:

Sorry for the wait

8 0
3 years ago
Your lunch bill for Saturday after noon is $12.19. You leave a 20% tip and are charged 8% sales tax. Your lunch bill for Sunday
m_a_m_a [10]

Answer:

You pay more for your lunch bill on Sunday

Step-by-step explanation:

You pay a total of $15.80 on Saturday and $16.27 on Sunday

7 0
2 years ago
Does anyone know how to solve this?
KATRIN_1 [288]

Answer:

<30,-20>

Step-by-step explanation:

4u + 2v

4< 6,-4> + 2< 3,-2>

<24,-16> + < 6,-4>

<30,-20>

4 0
2 years ago
Please show me this but solved on paper?
kobusy [5.1K]

its about drive its about power we stay hungry we devour pick in the work put in the hours and take whats ours  

4 0
2 years ago
Read 2 more answers
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