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Katena32 [7]
3 years ago
12

Mr. Nelson is checking some of the school's sport balls to make sure they are in good shape and

Mathematics
1 answer:
mario62 [17]3 years ago
5 0

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: air pressures of properly inflated sports balls.

<em>Average recommended psi Tolerance </em>

<em>(pounds per square inch) </em>

<em>Soccer ball 12.05 ±3.55 </em>

<em>Basketball 8.00 ±0.5  </em>

<em>Volleyball  4.44 ±0.18</em>

Each recommendation is expressed like the "average air pressure" ± "standard deviation of the recommended air pressure" so if you express it in inequality it will be:

X[bar]-S ≤ X ≤ X[bar]+S

So for each ball type, you can write it as:

<u>Soccer ball</u>

12.05-3.55 ≤ X ≤ 12.05+3.55

8.5 ≤ X ≤ 15.6

<u>Basketball</u>

8.00-0.5  ≤ X ≤ 8.00+0.5

7.5  ≤ X ≤ 8.5

<u>Volleyball</u>

4.44-0.18 ≤ X ≤ 4.44+0.18

4.26 ≤ X ≤ 4.62

I hope this helps!

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bija089 [108]

Answer:

So first, they remove the denominator of x times x, because multiplication cancels out division, so then you're left with

3/1 times x = 2193

3/1 just equals three, so you write it down as 3.

3x = 2193

To isolate 3x, you need to divide by 3.

x = 731

Hope this helped :)

5 0
3 years ago
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when a pen is sold at a discount of 15%, there is a gain of Rs 10. but if it is sold at 25% discount, there is a loss of Rs 2. f
LenaWriter [7]

Answer:

Rs 120.  

Step-by-step explanation:

10=0.85SP-CP; CP+10=0.85SP; SP=[CP+10]/0.85 Eq 1. Let SP= Selling Price and CP= Cost Price

-2 =0.75SP-CP; 0.75SP=C-2; SP=[CP-2]/0.75 Eq 2

[CP+10]/0.85=[CP-2]/0.75 : SP of Eq 1=SP of Eq 2

0.75[CP+10]=0.85[CP-2]

0.75CP+7.5=0.85CP-1.7

0.85CP-0.75CP=-1.7–7.5=9.2

0.10CP=9.2; CP=9.2/0.10

CP=Rs 92 Cost Price of pen

10=0.85SP-92; 0.85SP=92+10=102; SP=102/0.85=Rs 120 Marked Price of pen (answer)

From Eq2: -2=0.75SP-CP; 0.75SP=CP-2=92–2=90; SP=90/0.75=Rs120; -2=0.75(120)-CP; CP-2=0.75(120); CP-2=90; CP=90+2=Rs 92

Set CP of Eq 1=CP of Eq 2:

CP=0.85SP-10 from Eq 1; CP=0.75SP+2 from Eq 2;

0.85SP-10=0.75SP+2; 0.85SP-0.75SP=10+2=12

0.10SP=12; SP=12/0.10=Rs120 is the Marked Price(answer)

Normally, the Selling Price is the marked price. The seller will not disclose the Cost Price because it is the price when the item was acquired or procured, otherwise the buyer will ask for more discounts and based his buying price from the Cost Price if it is known. The calculated SP and CP satisfy both Eq 1 and Eq 2. Both Eq 1 and Eq 2 satisfy the given conditions of the problem above.

8 0
3 years ago
If the range of a normally distributed data set is 25, what's a reasonable estimate for the standard deviation
Ghella [55]

68% will be 1 standrd deviation  either side of the mean  so a reasonable estimate will be (25*0.68) / 2 = 8.5

5 0
3 years ago
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nadezda [96]
Each one has to pay $11.66
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Hopefully this helped you!
4 0
3 years ago
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The side length of an equilateral triangle is 6x - 12. Write an expression for the perimeter of the triangle in simplest form.
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Answer:

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In an equilateral triangle the 3 sides are congruent, then

perimeter = 6x - 12 + 6x - 12 + 6x - 12 ← collect like terms

                = 18x - 36

4 0
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