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Artyom0805 [142]
3 years ago
13

Randomly selected statistics students of the author participated in an experiment to test their ability to determine when 60 sec

onds had passed. Forty students yielded a sample mean of 58.3 seconds. Assume that б = 9.5 seconds. Construct a 95% confidence interval of the population mean of all statistics students.
Z D/2 = 1.96
Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

The answer would be: We are 95% confident that the interval from 55.4 seconds to 61.2 seconds actually does contain the true value of μ.

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I NEED HELP!! please show all work
PtichkaEL [24]

Take the logarithm of both sides. The base of the logarithm doesn't matter.

4^{5x} = 3^{x-2}

\implies \log 4^{5x} = \log 3^{x-2}

Drop the exponents:

\implies 5x \log 4 = (x-2) \log 3

Expand the right side:

\implies 5x \log 4 = x \log 3 - 2 \log 3

Move the terms containing <em>x</em> to the left side and factor out <em>x</em> :

\implies 5x \log 4 - x \log 3 = - 2 \log 3

\implies x (5 \log 4 - \log 3) = - 2 \log 3

Solve for <em>x</em> by dividing boths ides by 5 log(4) - log(3) :

\implies \boxed{x = -\dfrac{ 2 \log 3 }{ 5 \log 4 - \log 3 }}

You can stop there, or continue simplifying the solution by using properties of logarithms:

\implies x = -\dfrac{ \log 3^2 }{ \log 4^5 - \log 3 }

\implies x = -\dfrac{ \log 9 }{ \log 1024 - \log 3 }

\implies \boxed{x = -\dfrac{ \log 9 }{ \log \frac{1024}3 }}

You can condense the solution further using the change-of-base identity,

\implies \boxed{x = -\log_{\frac{1024}3}9}

5 0
3 years ago
Please answer I will give brainiest. 24 is (8 1/3) percent of what number? I know how to do it but the SMALL decimal I am gettin
Liono4ka [1.6K]

Answer:

288

Step-by-step explanation:

24 = 8 1/3 % of x

24 = (25/3 * 1/100)x

25/300 x = 24

x = 24 * 300/25

x = 7200/25

x = 288

5 0
3 years ago
189 divided by 9941.4
vovikov84 [41]
The answer is 0.0190114068441065
4 0
3 years ago
How do I write 5/3x+y=8 in standard form
aivan3 [116]

Answer:

5x+3y+24

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Find the value of x and y
velikii [3]

Answer:

2x + 20 = 3x-10

2x -3x = -20-10

-x = -30

x= 30

Checking part:

2x+20 = 2(30) +20 = 60+20 = 80

3x-10 = 3(30) - 10 = 90-10 = 80

Hence, the final answer is x = 30.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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