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Bezzdna [24]
2 years ago
9

Question

Mathematics
1 answer:
rodikova [14]2 years ago
7 0

Answer:

Volume = 11488.21

Area = 2461.76

Step-by-step explanation:

Given

Radius, r = 14\ in

Shape: Sphere

Solving (a): The Volume

This is calculated as:

Volume = \frac{4}{3}\pi r^3

Take \pi as 3.14 and substitute 14 for r

Volume = \frac{4}{3} * 3.14 * 14^3

Volume = \frac{4}{3} * 3.14 * 2744

Volume = \frac{4 * 3.14 * 2744}{3}

Volume = \frac{34464.64}{3}

Volume = 11488.21

Solving (b): The Surface Area

This is calculated as follows:

Area = 4\pi r^2

Take \pi as 3.14 and substitute 14 for r

Area = 4 * 3.14 * 14^2

Area = 4 * 3.14 * 196

Area = 2461.76

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-y+5x-12=0 what is solution to get the answer of that?
Nady [450]
−y+5x−12=0
Add 12 to both sides.
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5x−y=12
Add y to both sides.
5x−y+y=12+y
5x=y+12
Divide both sides by 5.
5x/5=y+12/5

X=1/5y+12/5
7 0
3 years ago
The difference between the roots of the quadratic equation x2−8x+p=0 is 6. Find p.
Eduardwww [97]

Answer:

p=7

Step-by-step explanation:

x1+x2=8

2x+6=8

2x=2

x=1

c/a=c

x1*x2=c=p

x1*x2=7

p=7

7 0
3 years ago
Subtract 4 from 1/6 in parentheses
Rom4ik [11]
I am not sure if what I am about to explain is correct but I hope it is somewhere along the correct path

To solve the problem use the following steps below....

Step 1: Take your numbers and place them in parentheses

(4-1/6)

Step 2: Turn your whole number,4, into a fraction

6/6=1
6/6x4=24/6

Step 3: Place your new fraction back into the problem

(24/6-1/6)

Step 4: Use the operation,subtraction, and minus 1/6 from 24/6

(23/6)
24/6 minus 1/6=23/6

Step 5(is optional): Turn 23/6 into a mixed fraction by dividing 23 by 6

23<span>÷6= 3 5/6

Step 6(is optional): put your answer into a final statement

(4-1/6)=23/6=3 5/6

Answer: 3 5/6

I hope this helps and I apologize in advance if any false information was given.
</span>
3 0
3 years ago
3. A team of eye surgeons has developed a new technique for a risky eye operation to restore the
Zigmanuir [339]

Answer:

Yes the new method if sample size was less than 20 than that of old method or identical sample numbers of old and new the differences still prove the new operation is better. As 88 patients minus 1% still shows us 76.7475 significance of  old method being low point 67.5 = 30% of 225 and proved a 65.25 low point and 69.75 high point which is also a 20% jump to new methods low point significance.

You cna show this as workings to prove or follow any of the below statements.

Where new method of 88 patients -0.01 significance rate stands at 76.7475. This figure has reduced by 11.2525 from 88 patients to 76.7 we compare this to the old method if reversing significance we find  = 62.5 and it's 30% standing value of 67.5  as +1% increase shows us 31% = 69.7  ( 0.31 x 225 = 69.74)

Step-by-step explanation:

88/225  = 0.39111111111 = 39.11%%

P value 01 = 1%  =  225.225 or 5% range of alternative hypotheses.

To graph the P value we take the distance between the sample mean and the null hypothesis value (225 + 1% of sample - x nhv) = y ). We can graph the probability of obtaining a sample mean  (225 +/- ( x +1% of sample) where nhv has a decimal if needed to utilize the 1% added). we would replace nvp in this example with  Ha or H1 which means the alternative hypotheses as the data shows less than or equal to.

We can then show 225.225 -  Ha or H1  then graph the probability of obtaining a sample mean that is at least extreme in both tails  Ha or H1

However it would be the other way round where you take the first set of data and use the sample as the 30% significance of that sample indicates it may be a larger sample or a higher significance. Therefore this would be used in the graphing - 1%

We prove that 30-1 =29  where 29% of 225 = 225 x 0.29 = 65.25

this way we have proved that the new set of data being equal to 88 patients regaining their eyesight is <23 and can be written like this 65.25< x <88

This means that sample mean has taken the 1% to show on the graph we can show 225> 33.11 +1 .

We can prove that both indifference of significance would reduce when 1% is added and close based on being a higher percentage to begin with.

34.11 = 0.3411 x 225 = 76.7475 for second surgeon = 33.11% +1

Where as shown

30 = 0.3 x 225 = 67.5

76.5475 - 67.5 = 9.04 difference when comparing old method = +1%

where new method stands at 76.7475 has reduced by 11.2525 from 88 patients and where old method if reversing = 62.5 and has reduced from 67.5  as +1% and 31% = 69.7  ( 0.31 x 225 = 69.74)

You would therefore graph each higher methods first if comparing both by 0.01 or show 88 on graph and 76.7475 = +1%

NB/ if sample size was 20 more in the old data then 225+20 = 245 x 0.29 = 71.05 and would still be lower than new data. = 2.0 increase level of significance and not relevant unless you are looking for the decrease which means new is greater than 20% success than that of old method findings where 30% = 67.5.

5 0
3 years ago
Write the following proportion:<br> 8 is to 64 as 2 is to X
Andrews [41]
1 way
\frac{8}{64}  =  \frac{2}{x}  \\  \\ &#10; \frac{8:4}{64:4}  =  \frac{2}{x}  \\  \\ &#10; \frac{2}{16}  =  \frac{2}{x}    ⇔  x = 16
......................................................
2.way
\frac{8}{64}  =  \frac{2}{x}
<span>We multiply the cross
</span>
8x = 2 * 64&#10;8x = 128&#10;x = 16
3 0
3 years ago
Read 2 more answers
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