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CaHeK987 [17]
2 years ago
11

PLZ HELP!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
bezimeni [28]2 years ago
8 0

Answer:

If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Inessa05 [86]2 years ago
4 0

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= -6x^2+100x-180

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$

= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$

= \frac{-100\pm\sqrt{5.680}}{-12}$

= \frac{-100 + 75.3658}{-12}$

= \frac{24.6342}{-12}

x^1 = -2.05285

Now

x^2  = \frac{-100 - 75.3658}{-12}$

= \frac{- 175.3658}{-12}

x^2 = 14.6138

Based on this the option D is most appropriate as per the given situation

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Thirty students at Eastside High School took the SAT on the same Saturday. Their raw scores are given next. 1,450 1,620 1,800 1,
IRISSAK [1]

Answer:

Number of students who scored atleast 1700 but less Than 2100 = 17

Step-by-step explanation:

Given the data :

1,450 1,620 1,800 1,740 1,650 1,800 2,010 1,780 1,840 1,490 1,620 1,480 2,390 1,640 1,830 1,710 1,900 1,910 1,950 1,820 1,590 2,350 2,260 1,870 1,530 1,950 2,000 1,830 1,980 2,100

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The life in hours of a 75-watt light bulb is known to be normally distributed with standard deviation σ = 25 hours. A random sam
irina [24]

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Step-by-step explanation:

Since we have given that

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So, confidence interval would be

\bar{x}\pm z\dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.96\dfrac{25}{\sqrt{75}}\\\\=1014\pm 5.658\\\\=(1014-5.658,1014+5.658)\\\\=(1008.34,1019.658)

(b) Construct a 95% lower confidence bound on the mean life.

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\bar{x}\pm z\times \dfrac{\sigma}{\sqrt{n}}\\\\=1014\pm 1.65\times \dfrac{25}{\sqrt{75}}\\\\=1014\pm 4.76\\\\=(1014-4.76,1014+4.76)\\\\=(1009.24,1018.76)

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