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White raven [17]
2 years ago
6

What is the solution to the equation squareroot 4t+5=3

Mathematics
2 answers:
zubka84 [21]2 years ago
8 0

Answer:

Step-by-step explanation:

√(4t+5) = 3

4t + 5 = 9

4t = 4

t = 1

ahrayia [7]2 years ago
5 0

Answer:

Step-by-step explanation:

Remark

This is a bit ambiguous. I'm going to take it to mean

√(4t + 5) = 3

Solution

√(4t + 5) = 3                      Square both sides.

(√(4t + 5) )^2  = 3 ^2         If you square something and a √ is involved, sometimes squaring something will get rid of the√ sign. That's what happens here.

4t + 5 = 9                           Subtract 5 from both sides.

4t + 5 - 5 = 9-5                  Combine

4t = 4                                 Divide by 4

4t/4 = 4/4

t = 1

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Step-by-step explanation:

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A random sample of 25 glass sheets is obtained and their thicknesses are measured. The sample mean is x= 3.54 mm and sample stan
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Answer: (3.46, 3.62)

Step-by-step explanation:

The formula to find the confidence interval for population mean is given :-

\overline{x}\ \pm\ t_{\alpha/2}\dfrac{s}{\sqrt{n}}

, where n = sample size.

t_{\alpha/2} = Two-tailed t-value for significance level of (\alpha) and degree of freedom df= n-1.

s = sample standard deviation.

As per given , we have

\overline{x}= 3.54 mm

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Since population standard deviation is not given , it means the given problem has t- distribution.

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t_{\alpha/2\ ,df}=t_{0.025,\ 24}=2.0639

95% Confidence interval for population mean:

3.54\ \pm\ (2.0639)\dfrac{0.20}{\sqrt{25}}

=3.54\ \pm\ (2.0639)\dfrac{0.20}{5}

=3.54\ \pm\ (2.0639)(0.04)

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Hence, the 95% two-sided confidence interval for the mean glass thickness = (3.46, 3.62)

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