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adelina 88 [10]
3 years ago
13

Question Navigator

Mathematics
2 answers:
MArishka [77]3 years ago
8 0
C and B are correct,
dmitriy555 [2]3 years ago
4 0
Horaciones en ingles fe la palabra hot
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Thickness measurements of ancient prehistoric Native American pot shards discovered in a Hopi village are approximately normally
storchak [24]

Answer:

a) 0.1587

b) 0.0475

c) 0.7938

Step-by-step explanation:

Let's start defining our random variable.

X : ''Thickness (in mm) of ancient prehistoric Native American pot shards discovered in a Hopi village''

X is modeled as a normal random variable.

X ~ N(μ,σ)

Where μ is the mean and σ is the standard deviation.

To calculate all the probabilities, we are going to normalize the random variable X.

We are going to call to the standard normal distribution ''Z''.

[(X - μ) / σ] ≅ Z

We normalize by subtracting the mean to X and then dividing by standard deviation.

We can find the values of probabilities for Z in a standard normal distribution table.

We are going to call Φ(A) to the normal standard cumulative distribution evaluated in a value ''A''

a)

P(X

P(ZΦ(-1) = 0.1587

b)

P(X>7)=P(\frac{X-4.5}{1.5}>\frac{7-4.5}{1.5})

P(Z>1.666)=1-P(Z\leq 1.666)=

1 - Φ(1.666) = 1 - 0.9525 = 0.0475

c)

P(3

P(-1 Φ(1.666) - Φ(-1) = 0.9525 - 0.1587 = 0.7938

8 0
3 years ago
which of the following would you expect to have the highest interest? a 5-year CD a 10-year CD and online savings account or sav
tangare [24]

Answer:10-year CD

Step-by-step explanation:

No

4 0
3 years ago
5x-7=2x+8 solve for x
Rzqust [24]

Answer:

x=5

Step-by-step explanation:

Simplifying 5x + -7 = 2x + 8 Reorder the terms: -7 + 5x = 2x + 8 Reorder the terms: -7 + 5x = 8 + 2x Solving -7 + 5x = 8 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 5x + -2x = 8 + 2x + -2x Combine like terms: 5x + -2x = 3x -7 + 3x = 8 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 3x = 8 + 0 -7 + 3x = 8 Add '7' to each side of the equation. -7 + 7 + 3x = 8 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 8 + 7 3x = 8 + 7 Combine like terms: 8 + 7 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5

3 0
3 years ago
Read 2 more answers
What is StartFraction 5 Over 8 EndFraction divided by One-fourth?
RideAnS [48]

Answer:

1/3

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
I need to know number 5 just what it says thank you
Stels [109]

Answer:

C

Step-by-step explanation:

Okay! Time to use the Pythagoras theorem.

a^2 + b^2 = c^2

4^2 + 7^2 = x^2

16 + 49 = c^2

65 = c^2

Let's take the square root of both sides to get

c ~ 8.06

C

:)

5 0
3 years ago
Read 2 more answers
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