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Natasha_Volkova [10]
3 years ago
6

Can someone please help me with #10. i need the one with solution. thanks!

Mathematics
2 answers:
Gekata [30.6K]3 years ago
6 0
The reason this problem is so sneaky is that it has a lot of
different units in it, and you have to keep them all straight.

Volume of concrete for the patio = (length) x (width) x (height).

You know all of these dimensions, but be careful.  Before
you multiply them, they must all be in the same units.

          Length  =  36 ft
          Width  =  24 ft
          Height  =  9 inches  =  3/4 of a ft  (0.75 ft).

NOW you can multiply to get the volume.

         Volume = (36 ft) x (24 ft) x (0.75 ft) .

                       The result is the volume in ft³  (cubic feet).

Now you need to figure out how much this will cost, but you run into
another problem . . . you know how much each yd³ costs, but you
only have the volume in ft³.  You have to change the ft³ into yd³ .

Here's the tool you need to do that:      1 yd³ = 27 ft³
 
The rest is just arithmetic.  I know you can handle it from this point.
bogdanovich [222]3 years ago
4 0
Problem 10
One foot is equal to 0.333 yards, so convert the feet to yards.
One inch is equal to 0.0278 yards.
(36 feet × 0.333 = 12) 36 feet = 12 yards 
(24 feet × 0.333 = 8) <span>24 feet = 8 yards </span>
(9 inches × 0.0278 = 0.25) 9<span> inches = 0.25 yards 
</span>Now, multiply it all together (L × W <span>× H).
</span>12 × 8 <span>× 0</span>.25 = 24 yards
Then multiply the number of cubic yards.
24 <span>× </span>55= $1320
The answer is $1320
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Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in
Leno4ka [110]

Answer:

The 95% confidence interval for the population variance is (8.80, 32.45).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the population variance is given as follows:

\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}

It is provided that:

<em>n</em> = 20

<em>s</em> = 3.9

Confidence level = 95%

⇒ <em>α</em> = 0.05

Compute the critical values of Chi-square:

\chi^{2}_{\alpha/2, (n-1)}=\chi^{2}_{0.05/2, (20-1)}=\chi^{2}_{0.025,19}=32.852\\\\\chi^{2}_{1-\alpha/2, (n-1)}=\chi^{2}_{1-0.05/2, (20-1)}=\chi^{2}_{0.975,19}=8.907

*Use a Chi-square table.

Compute the 95% confidence interval for the population variance as follows:

\frac{(n-1)\cdot s^{2}}{\chi^{2}_{\alpha/2}}\leq \sigma^{2}\leq \frac{(n-1)\cdot s^{2}}{\chi^{2}_{1-\alpha/2}}

\frac{(20-1)\cdot (3.9)^{2}}{32.852}\leq \sigma^{2}\leq \frac{(20-1)\cdot (3.9)^{2}}{8.907}\\\\8.7967\leq \sigma^{2}\leq 32.4453\\\\8.80\leq \sigma^{2}\leq 32.45

Thus, the 95% confidence interval for the population variance is (8.80, 32.45).

4 0
3 years ago
What is the quotient and the remainder for <br> 52 divided by 8
Marianna [84]
52/8 = 6 
6*8 = 48
52-48 = 4

So 52 = 6*8+4

The quotient is 6, the remainder is 4.
5 0
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a medium apple has 72 calories. This is 3/4 of the calories in a medium banana. How many calories does a medium banana have?
qaws [65]
The banana had 54 calories
8 0
3 years ago
Which binomial is a factor of the expression?<br><br><br>Zoom in to see clearer :)​
sweet [91]

Answer:

x + 3 is the factor of given expression !!!

Step-by-step explanation:

here's the solution in attachment.

8 0
3 years ago
PLS HELP ME, I REALLY NEED THIS RIGHT NOW, 100 POINTS, IF YOU ANSWER WITH NO EXPLANATION, OR ANSWER FOR THE POINTS YOU WILL BE R
Reika [66]

9514 1404 393

Answer:

  • 0 ≤ m ≤ 7
  • 0.4541 cm/month; average rate of growth over last 4 months of study

Step-by-step explanation:

<u>Part A</u>:

The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...

  0 ≤ m ≤ 7

__

<u>Part B</u>:

The y-intercept is the value when m=0. It is the length of the fish at the start of the study.

__

<u>Part C</u>:

The average rate of change on the interval [3, 7] is given by ...

  (f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)

   ≈ 0.4541 cm/month

This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.

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2 years ago
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