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Serga [27]
2 years ago
5

Simplify (6(x^5)y^11)^4 using the Laws of Exponents Please help Needed for school tomorrow

Mathematics
1 answer:
iren [92.7K]2 years ago
6 0
[6(x^5)y^11]^4
[(6x^5)y^11]^4
(6x^5y^11)^4
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Rockwell hardness of pins of a certain type is known to have a mean value of 50 and a standard deviation of 1.3. (Round your ans
Maurinko [17]

Answer:

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50

Standard Deviation, σ = 1.3

Sample size, n = 12

We are given that the distribution of hardness of pins is a bell shaped distribution that is a normal distribution.

Formula:

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

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{1.3}{\sqrt{12}} = 0.3753

P(sample mean hardness for a random sample of 12 pins is at least 51)

P( x \geq 51) = P( z \geq \displaystyle\frac{51 - 50}{0.3753}) = P(z \geq 2.6645)

= 1 - P(z < 2.6645)

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

P(x \geq 51) = 1 - 0.9961= 0.0039

0.0039 is the probability that the sample mean hardness for a random sample of 12 pins is at least 51.

3 0
3 years ago
At the track practice, Sam practiced running the hurdles for 1 hour and 25 minutes. Then he practiced the high jump for 20 minut
blagie [28]

Answer:

Practice started at 1:55 pm.

Step-by-step explanation:

6 0
3 years ago
THIS IS FOR STATISTICS (PAIRED T-TEST)
AleksandrR [38]

Answer:

Oh Ana significa familia

Step-by-step explanation:

6 0
2 years ago
Graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 2, and 2
Tasya [4]

Answer:

f(x) = x3 + 3x2 − 4x − 12

Step-by-step explanation:

A polynomial which falls tot he left and rises to the right is a function with a positive leading coefficient. Its formed by the x-intercepts or zeros x = -3, -2 and 2. The zeros form the factors (x+3)(x+2)(x-2). Multiply the factors using the distributive property to find the function in standard form.

(x+3)(x+2)(x-2)

(x^2 + 3x + 2x + 6)(x-2)

(x^2 + 5x + 6)(x-2)

x^3 + 5x^2 + 6x -2x^2 - 10x - 12

x^3 + 3x^2 - 4x - 12

4 0
3 years ago
What is the exact volume of the sphere?. . A.. 463.01 m3. . B.. 147.456 m3. . C.. 96.46 m3. . D.. 36.868 m3
Yakvenalex [24]
The volume of the sphere : ( r = 4.8 m )
V = 4/3 r³ π = 4/3 · ( 4.8 m )³ · 3.14 = 4/3 · 110.592 · 3.14 = 463.01 m³
Answer: A ) 463.01 m³
7 0
3 years ago
Read 2 more answers
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