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3 years ago

Help with math homework!

Mathematics

2 answers:

Genrish500 [490]3 years ago

8 0

So the rule with dividing exponents of the same base is $\frac{x^m}{x^n}=x^{m-n}$

Apply this rule here as such:

$\frac{8^5}{8^3}=8^{5-3}=8^2$

<u>Your answer is 8², or B.</u>

Ierofanga [76]3 years ago

6 0

$\dfrac{8^5}{8^3} = 8^{5-3} = 8^2$

Answer: B

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The mean waiting time at the drive-through of a fast-food restaurant from the time the food is ordered to when it is received is

alexira [117]

Answer:

a) And if we replace we got: $\bar X= 78$

$s = 15.391$

b) $78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

Step-by-step explanation:

Dataset given: 109 67 58 76 65 80 96 86 71 72

Part a

For this case we can calculate the sample mean with the following formula:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And if we replace we got: $\bar X= 78$

And the deviation is given by:

$s =\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And if we replace we got $s = 15.391$

Part b

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=10-1=9$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,9)".And we see that $t_{\alpha/2}=3.25$

Now we have everything in order to replace into formula (1):

$78-3.25\frac{15.391}{\sqrt{10}}=62.182$

$78-3.25\frac{15.391}{\sqrt{10}}=93.818$

So on this case the 99% confidence interval would be given by (62.182;93.818)

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2 years ago

Boyle's Law states that when a sample of gas is compressed at a constant temperature, the pressure P and volume V satisfy the eq

lawyer [7]

Answer:

The value of rate of decrease of volume = - 3600 $\frac{k pa}{min}$

Step-by-step explanation:

According to Boyle's law P V = C ------- (1)

Pressure ( P ) = 100 k pa = 10 $\frac{N}{cm^{2} }$

Volume ( V ) = 900 $cm^{3}$

Put these values in equation ( 1 ) we get,

⇒ C = 10 × 900 = 9000 N-cm = 90 N-m

Differentiate Equation ( 1 ) with respect to time we get,

⇒ V $\frac{dP}{dt}$ + P $\frac{dV}{dt}$ = 0

⇒ V $\frac{dP}{dt}$ = - P $\frac{dV}{dt}$

⇒ $\frac{dV}{dt}$ = - $\frac{V}{P}$ $\frac{dP}{dt}$ ---------- (2)

This equation gives the rate of decrease of volume.

Given that Rate of increase of pressure = $\frac{dP}{dt}$ = 40 $\frac{k pa}{min}$

C = 90 N-m

P = $10^{5}$ pa = 10 $\frac{N}{cm^{2} }$

V = 900 $cm^{3}$

Put all the above values in equation 2 we get,

⇒ $\frac{dV}{dt}$ = - $\frac{900}{10}$ × 40

⇒ $\frac{dV}{dt}$ = - 3600 $\frac{k pa}{min}$

This is the value of rate of decrease of volume.

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alina1380 [7]

Answer:

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Step-by-step explanation:

The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:

(4.5 mi)/(45 min) = 0.1 mi/min

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kifflom [539]

Answer:

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vichka [17]

Answer:

Step-by-step explanation:

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