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3 years ago

Find the solution set of this equation. y^2-11y=0 separate the two values with a comma.

Mathematics

1 answer:

Tanya [424]3 years ago

6 0

Answer:

0,11

Step-by-step explanation:

y^2-11y=0

y(y-11)=0 we have transformed the equation into a product

a product can be zero only if one of the factors is 0

so the two solutions are

y=0

and y-11=0 y=11

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The spherical bottle has a conical shaped lid with a diameter of 5cm and a height of 4.5cm. Given this information, calculate th

Harlamova29_29 [7]

Answer: Volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.

Step-by-step explanation:

Given: For lid of the spherical shaped bottle,

Diameter = 5 cm

Height = 4.5 cm

Radius = Half of diameter = 2.5 cm

Volume of cone = $\dfrac13\pi r^2 h$

Volume of lid $=\dfrac13(3.14)(2.5)^2(4.5)=29.4375\approx29.44\text{ cm}^3$

Surface area of cone = $\pi r\sqrt{h^2+r^2}$ [as lide has no base we don't include area of base.]

Surface area of lid = $(3.14)(2.5)\sqrt{(2.5)^2+(4.5)^2}= 7.85\sqrt{26.5}\approx40.41\text{ cm}^3$

Hence, volume of lid = 29.44 cubic cm and surface area = 40.41 cubic cm.

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3 years ago

22 random samples were selected from a population that has a normal distribution the sample has a mean of 99 and a standard devi

olga2289 [7]

Answer:

(96.91, 101.09)

Step-by-step explanation:

To calculate the interval, you require the Z value at 95% confidence interval. The Z value is 1.96. The formula to calculate the confidence interval:

$X-Zs/\sqrt{x} \\X+Zs/\sqrt{x}$

Where X is the mean and s is the standard deviation and x the sample size:

$99-1.96\cdot{5}/\sqrt{22} \\99+1.96\cdot{5}/\sqrt{22}$

The interval is (96.91, 101.09)

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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