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vazorg [7]
3 years ago
15

From the square with the rib is the cylinder wrapper built. Express the volume of this cylinder as a function of the rib a

Mathematics
1 answer:
Alisiya [41]3 years ago
7 0

Answer:

Look I’m not an expert in math but here it is: 7.4

Step-by-step explanation:

Or in fraction form 37/500

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
Allisa [31]

Answer:

The  condition  are

           The  Null hypothesis is  H_o  :  \mu = 5

           The  Alternative hypothesis is  H_a  :  \mu <  5

The  check revealed that

             There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

     The  population mean is  \mu =  5 \ year

      The sample size is  n =  20

      The sample mean is  \=  x  =  4.6 \  years

       The  standard deviation is \sigma  =  2.2  \ years

   The  Null hypothesis is  H_o  :  \mu = 5

   The  Alternative hypothesis is  H_a  :  \mu <  5

So i will be making use of  \alpha =  0.05 level of significance to test this claim

    The critical value of  \alpha from the normal distribution table is  Z_\alpha  =  1.645

 

Generally the test statistics is mathematically evaluated as

                 t =  \frac{\= x  - \mu}{ \frac{\sigma }{\sqrt{n} } }

substituting values

                 t =  \frac{ 4.6  - 5}{ \frac{2.2}{\sqrt{20} } }

                t =  -0.8131

Looking at the value of  t and Z_{\alpha } we see that  t <  Z_{\alpha } so we fail to reject the null hypothesis  

  This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0
3 years ago
Colin &amp; Brian share a lottery win of £2100 in the ratio 4 : 1. Colin then shares his part between himself, his wife &amp; th
Paraphin [41]

Answer:

His wife gets $336 more than his son.

Step-by-step explanation:

Colin and Brian:

Ratio of 4:1.

So Colin gets \frac{4}{4+1} = \frac{4}{5} of the prize.

\frac{4*2100}{5} = 1680

Colin got $1680. Dividing between himself, his wife and their son:

Ratio of 2:5:3.

So Colin gets \frac{2}{2+3+5} = \frac{2}{10}, his wife gets \frac{5}{2+3+5} = \frac{5}{10} and his son gets \frac{3}{2+3+5} = \frac{3}{10}

Wife:

\frac{5*1680}{10} = 840

His wife got $840.

Son:

\frac{3*1680}{10} = 504

His son got $504.

How much more does his wife get over their son?

840 - 504 = 336

His wife gets $336 more than his son.

8 0
3 years ago
I just need help on number 14. Thank you very much.
lisabon 2012 [21]

I believe you only need to know one angle.

For example, if you know angle 1, you can calculate angle 3. Angle 2 = angle 3 and angle 4 = angle 1.

Also, Angle 5= angle 1 and so on...

4 0
3 years ago
Need Help ASAP<br><br> 1.5x+6=2+3x<br> 2.2(6-2y)=-1(4y-9) <br> 3.2z-6=2(z+2)+10
zavuch27 [327]
1. 5x + 6 = 2 + 3x
-3x. - 3x
-------------------------
2x + 6 = 2
- 6. - 6
-------------------------
2x = -4
---- -----
2. 2

x = -2

2. 2(6 -2y) = -1(4y-9)
12 -4y = -4y + 9
+4y. +4y
----------------------------
.12 /=\ 9
No solution

3. 2z-6 = 2(z+2) + 10
2z -6 = 2z + 4 + 10
2z -6 = 2z +14
-2z. -2z
-6 /=\ 14
No solution.
4 0
3 years ago
In November, the Sport Shop sold
Neko [114]

Answer:

March is the first month

Step-by-step explanation:

If we make a graph. We can see that the quantity of sold water skis overpasses the quantity of snow skis in the month of March.

5 0
3 years ago
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