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MAVERICK [17]
3 years ago
10

Solve the logarithmic equation. When necessary, round answer to the nearest hundredth.

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0

Answer:

Exact Form:

x=e^4

Decimal Form:

x=54.59815003

stiv31 [10]3 years ago
3 0

Answer:

The solution of the logarithmic equation is x=54.59  

Step-by-step explanation:

Given : Expression 4-3\ln x=-8        

To find : Solve the logarithmic equation?

Solution :    

Step 1 - Write the expression,

4-3\ln x=-8      

Step 2 - Subtract 4 both side,

4-4-3\ln x=-8-4      

-3\ln x=-12      

Step 3 - Divide by -3 both side,

\frac{-3\ln x}{-3}=\frac{-12}{-3}      

\ln x=4      

Step 4 - Taking exponential both side,

x=e^4  

x=54.59  

Therefore, The solution of the logarithmic equation is x=54.59  

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babunello [35]

Answer:  40/81

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

Work Shown:

B = selecting 1 blue

R = selecting 1 red

P(B) = 5/9, since there are 5 blue out of 5+4 = 9 total

P(R) = 4/9, since there are 4 red out of 9 total

P(2 blue) = P(B)*P(B) = (5/9)*(5/9) = 25/81

P(2 red) = P(R)*P(R) = (4/9)*(4/9) = 16/81

The last two equations are valid because we are sampling with replacement. Each selection is independent.

-------------------

P(2 same color) = P(2 blue OR 2 red)

P(2 same color) = P(2 blue) + P(2 red)

P(2 same color) = 25/81 + 16/81

P(2 same color) = (25+16)/81

P(2 same color) = 41/81

-------------------

P(2 different color) = 1 - P(2 same color)

P(2 different color) = 1 - 41/81

P(2 different color) = 81/81 - 41/81

P(2 different color) = (81-41)/81

P(2 different color) = 40/81

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3 years ago
Joanna recorded the number of laps she swam during practice in one week.
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Step-by-step explanation:

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Simplify (9x + 10) - (7x + 8)
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Step-by-step explanation:

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karl needs to build a stage that has an area of 72 square feet. the length of the stage should be longer than the width. what ar
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Fizzy Waters has been involved in multiple lawsuits regarding the alkaline substance concentration in their product and getting
ser-zykov [4K]

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

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This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

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The formula for determining the test statistic,x² is

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Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

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For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

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