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rewona [7]
3 years ago
7

What is the solution of the equation? 2^5 sqrt (x+6)^3 +3 =19

Mathematics
2 answers:
kirill [66]3 years ago
5 0

Answer:

x=-5.37

Step-by-step explanation:

The equation is:

2^5\cdot{\sqrt{(x+6)^3}}+3=19

We can simplify by taking over 3 to the left hand side and divide the equation by 2^5 and then squaring both sides to get rid if the square root:

2^5\cdot{\sqrt{(x+6)^3}}=19-3

\sqrt{(x+6)^3}=16/2^5

(x+6)^3=(0.5)^2

(x+6)^3=0.25

We can take the third root on both sides:

(x+6)=0.63

x=0.63-6=-5.37

EleoNora [17]3 years ago
3 0
I got that x=-5.37003947. I am not sure that I put everything under the square root that needed to be there so I hope this helps.
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Answer:

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4 0
2 years ago
Use the confidence level and sample data to find a confidence interval for estimating the population μ. Round your answer to the
Levart [38]

Answer: Choice A.)   88.2 < μ < 93.0

=============================================================

Explanation:

We have this given info:

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  • xbar = 90.6 = sample mean
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  • C = 99% = confidence level

Because n > 30 and because we know sigma, this allows us to use the Z distribution (aka standard normal distribution).

At 99% confidence, the z critical value is roughly z = 2.576; use a reference sheet, table, or calculator to determine this.

The lower bound of the confidence interval (L) is roughly

L = xbar - z*sigma/sqrt(n)

L = 90.6 - 2.576*8.9/sqrt(92)

L = 88.209757568781

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The upper bound (U) of this confidence interval is roughly

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7 0
2 years ago
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