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Solnce55 [7]
3 years ago
10

Add the following lengths: 12' 11" + 11' 3”

Mathematics
1 answer:
Vesna [10]3 years ago
7 0

Answer:

24'2

Step-by-step explanation:

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Standard normal curve between z=.42 and z=1.92<br> a= .6902<br> b= .3098<br> c= .1902<br> d= .8098
soldier1979 [14.2K]
The correct answer is Choice B: 0.3098.

To find the answer, you have to use a normal distribution table. Look up the percents for each z-score and subtract them to find the region between.

z = 1.92 the percent is 0.9726

z = 0.42 the percent is 0.6628

0.9726 - 0.6628 = 0.3098
4 0
3 years ago
Suppose that lithium calculator battery with a charge of 3 volts, actually has a voltage with uniform distribution between 2.93
Dmitrij [34]

Answer:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean of the uniform probability distribution is:

M = \frac{a + b}{2}

The standard deviation of the uniform distribution is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniform distribution between 2.93 and 3.1 volts

This means that a = 2.93, b = 3.1. So

Mean:

M = \frac{2.93 + 3.1}{2} = 3.015

Standard deviation:

S = \sqrt{\frac{(3.1 - 2.93)^{2}}{12}} = 0.049

What is the probability that a battery has a voltage less than 2.98?

P(X \leq 2.98) = \frac{2.98 - 2.93}{3.1 - 2.93} = 0.2941

So the correct answer is:

b. E(X) = 3.015, STDEV(X)= 0.049, P (X ≤ 2.98) = 0.2941

6 0
2 years ago
In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.
vazorg [7]
If you apply the or both
Only 1 of the students would need to know the "or both", therefore maximizing the remaining amount of students you can put in.

Gerald, let's call him, knows French AND German, so there's only one less student that knows french and german. Gerald is 1 student.

MAXIMUM:
There are now 14 monolinguistic French speakers and 16 monolinguistic German's, 30 students + Gerald=31.

Minimum:
As a bonus, the minimum is 15 students knowing french AND German and only 2 monolinguistic German speakers, so 17.
8 0
3 years ago
Read 2 more answers
A dress is on sale for $192. What was the original price of the dress if the discount was 1/5 of the original price?
Alexeev081 [22]

Answer:

$240

Step-by-step explanation:

Let x = the original price:

x - 0.2x = 192

0.8x = 192

x = 240

6 0
2 years ago
Image attached. This is geometry and I’m confused.
ICE Princess25 [194]

Answer:

90 degrees

Step-by-step explanation:

angle b is 180-90-56=34 degrees

that means angle c is also 34 degrees.

56+34=90, thus angle BCE is also 90 degrees

4 0
2 years ago
Read 2 more answers
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