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DerKrebs [107]
3 years ago
10

The following data resulted from 15 independent measurements of the melting point of lead. 322.3 339.1 323.3 330.8 328.4 323.2 3

38.3 324.2 334.9 328.2 329.4 329.5 328.2 339.7 326.5 Assuming that the measurements can be regarded as constituting a normal sample whose mean is the true melting point of lead, determine a 95% confidence interval for this value.
Mathematics
1 answer:
BARSIC [14]3 years ago
4 0

Answer:

95% Confidence Interval: 329.73333333333 ± 2.53

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Step-by-step explanation:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

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A DVD with a radius of 6 centimeters rotates at a speed of 243 revolutions per minute. Find the liner speed in centimeters per s
saul85 [17]

Answer:

152.7 cm/s

Step-by-step explanation:

The radius of DVD, r = 6 cm

The angular speed of DVD, \omega=243\ rev/min=25.45\ rad/s

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The relation between linear speed and angular speed is given by :

v=r\omega\\\\v=0.06\times 25.45\\\\v=1.527\ m/s

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5 0
2 years ago
find the lump sum that must be deposited today to have a future value of $25,000 in 9 years if the funds carn 8%, compounded ann
Nutka1998 [239]

Answer:

The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.

Step-by-step explanation:

We are given:

Future value (A)=$25,000

Rate r =8% (0.08%)

Time t = 9

Compounded Annually n =1

We need to find:

Principal Amount (P) = ?

The formula used will be:

A=P(1+\frac{r}{n})^{nt}

Putting values and finding Principal Amount (P)

A=P(1+\frac{r}{n})^{nt}\\25000=P(1+\frac{0.08}{1})^{9*1} \\25000=P(1+0.08)^{9} \\25000=P(1.08)^{9} \\25000=P(1+0.08)^{9} \\25000=P(1.9990)\\P=\frac{25000}{1.9990}\\\mathbf{P=12506.25 }

So, The lum sum that must be deposited today is $12,506.25 to have a future value of $25,000 in 9 years if the funds carn 8%, compounded annually.

3 0
3 years ago
Don’t mind the Answer D I circle can someone explain the answer to me 25 point if no explanation and answer I flagged
Kruka [31]

Answer:

 (A) 49

Explanation:

Given that the fractions are in their simplest form. So below the denominator cannot be a multiple of 3, 4, 5.

Breakdown:

Looking at option A (49), it is not a multiple of 3, 4, 5. So k can be 49.

Option B (50) is a multiple of 5. An even number like 4 so can be simplified.

Option C (51) is a multiple of 3 so can be simplified more. 3/51 = 1/17.

Option D (52) is an even number like 4 so can be simplified. 4/52 = 1/13.

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1 year ago
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