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3 years ago

A fair spinner has 9 equal sections: 4 red, 3 blue and 2 green.

Mathematics

1 answer:

love history [14]3 years ago

4 0

Answer:

Probability would be 8/18 or 4.44%

Step-by-step explanation:

If its spun twice it acts as if it has 18 sections meaning you multiply the number of reds and number of squares total by two in this situation and put them over each other!

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Find the volume of the cone

aivan3 [116]

Answer:

12π

Step-by-step explanation:

Volume of the cone is πr^2 * h / 3

r = 3

h = 4

9π * 4 / 3 = 12π

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3 years ago

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What is (9 x2/3) x2/3

lutik1710 [3]

Answer:

Step-by-step explanation:

First you have to follow pemdas, which says you have to follow this order:

Parentheses first, exponents second, multiply, divide, add, and then subtract. Always follow from left to right. First solve inside the parentheses.

9x2/3=6 and then multiply the product by 2/3 {6x2/3=4}

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2 years ago

Use the rules of inference to prove the conclusion r given (all 1,2,3 and 4) the four premises listed below. Write your solution

aniked [119]

Answer:

attached below

Step-by-step explanation:

Applying the rule of logical equivalences

attached below is a detailed solution ( written as a numbered sequence of statements )

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2 years ago

These data show the age in years of 9 members of the youth orchestra. 12 14 16 17.5 10 18 15 15.5 19 What is the IQR (interquart

ryzh [129]

The interquartile range is 4.75.

8 0

3 years ago

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A solution initially contains 200 bacteria. 1. Assuming the number y increases at a rate proportional to the number present, wri

GuDViN [60]

Answer:

1. $\frac{dy}{dt}=ky$

2.543.6

Step-by-step explanation:

We are given that

y(0)=200

Let y be the number of bacteria at any time

$\frac{dy}{dt}$ =Number of bacteria per unit time

$\frac{dy}{dt}\proportional y$

$\frac{dy}{dt}=ky$

Where k=Proportionality constant

2. $\frac{dy}{y}=kdt$ ,y'(0)=100

Integrating on both sides then, we get

$lny=kt+C$

We have y(0)=200

Substitute the values then , we get

$ln 200=k(0)+C$

$C=ln 200$

Substitute the value of C then we get

$ln y=kt+ln 200$

$ln y-ln200=kt$

$ln\frac{y}{200}=kt$

$\frac{y}{200}=e^{kt}$

$y=200e^{kt}$

Differentiate w.r.t

$y'=200ke^{kt}$

Substitute the given condition then, we get

$100=200ke^{0}=200 \;because \;e^0=1$

$k=\frac{100}{200}=\frac{1}{2}$

$y=200e^{\frac{t}{2}}$

Substitute t=2

Then, we get $y=200e^{\frac{2}{2}}=200e$

$y=200(2.718)=543.6=543.6$

e=2.718

Hence, the number of bacteria after 2 hours=543.6

4 0

3 years ago