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3 years ago

13

Helen's Caffee has regular coffee and decaffeinated coffee. This morning, the caffee served 45 coffees in all, 60% of which were

regular. How many regular coffees did the cafe serve?

1 answer:

Alina [70]3 years ago

3 0

The answer should be 27, good luck!

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What is 9^3 as a power of 3

Alex787 [66]

Answer:

729

Step-by-step explanation:

9³ you just type that in the calculator

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A particle moves so that r(t) = ati + b sin atj. Show that the magnitude of the acceleration of the particle is proportional to

ValentinkaMS [17]

Answer:

Step-by-step explanation:

Given

Position of particle is $r(t)=at\hat{i}+b\sin (at)\hat{j}$

i.e. distance from x axis is $b\sin (at)---1$

Distance from y axis at

velocity is given by $v=\frac{\mathrm{d} r}{\mathrm{d} t}$

$v=a\hat{i}+ba\cos (at)\hat{j}$

Similarly acceleration is given by

$a=\frac{\mathrm{d} v}{\mathrm{d} t}$

$a=0\hat{i}-a^2b\sin (at)\hat{j}$

Magnitude of acceleration is $=\sqrt{(-a^2b\sin (at))^2}$

$=a^2b\sin (at)----2$

From 1 and 2 we can see that

Magnitude of acceleration is proportional to distance from x axis

$a\propto distance\ from\ x-axis$

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The pair of figures is similar. Find the missing side.

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X=5
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In a game of rolling a die. If the number showing is even, you win $3, if the number showing is 1 you win $3 and if the number s

IceJOKER [234]

Answer:

(a)

$\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|$

(b)$2

Step-by-step explanation:

In the given game of rolling a die. these are the possible winnings.

If the number showing is even(2, 4, or 6) or 1, you win $3.
If the number showing is either 3 or 5 you win $0.

There are 6 sides in the die.

$P($obtaining a 1,2,4 or 6)=\dfrac46=\dfrac23\\P($obtaining a 3 or 5)=\dfrac26=\dfrac13$

(i)The probability distribution of x.

Let x be the amount won

Therefore:

Probability distribution of x.

$\left|\begin{array}{c|c|c}---&---&---\\x&\$0&\$3\\---&---&---\\P(x)&\dfrac13&\dfrac23\\---&---&---\\\end{array}\right|$

(ii) Expected amount of dollar won

Expected Amount

$=\sum x_iP(x_i)\\=(0*\dfrac13)+(3*\dfrac23)\\=\$2\\$

You would expect to win $2.

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3 years ago