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3 years ago

These marbles are placed in a bag and two

Mathematics

1 answer:

creativ13 [48]3 years ago

4 0

<h3>Answer: 9/100</h3>

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Explanation:

There are 3 pink marbles out of 10 total (we can see that 2 yellow + 3 pink + 5 blue = 10 total)

The fraction 3/10 represents the probability of pulling out a pink marble at random. Since the first one is put back, this means the fraction 3/10 stays the same on the second draw as well.

We use the idea mentioned in the hint to multiply the fractions:

(3/10)*(3/10) = (3*3)/(10*10) = 9/100

The probability of pulling two pink marbles in a row is 9/100, where the first marble is put back.

Effectively, if you were given 100 tries at doing this, you should expect about 9 of those times you get 2 pink marbles in a row.

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Jane wishes to bake an apple pie for dessert. The baking instructions say that she should bake the pie in an oven at a constant

Viktor [21]

Answer:

Therefore $k= \frac{ln2 }{18}$ , A=184

Step-by-step explanation:

Given function is

$T(t)=230 -e^{-kt}$

where T(t) is the temperature in °C and t is time in minute and A and k are constants.

She noticed that after 18 minutes the temperature of the pie is 138°C

Putting T(t) =138°C and t= 18 minutes

$138=230 -Ae^{-k\times 18}$

$\Rightarrow -Ae^{-18k}=138-230$

$\Rightarrow Ae^{-18k}=92$ .....(1)

Again after 36 minutes it is 184°C

Putting T(t) =184°C and t= 36 minutes

$184=230-Ae^{-k\times 36}$

$\Rightarrow Ae^{-36k}=230-184$

$\Rightarrow Ae^{-36k}=46$ .......(2)

Dividing (2) by (1)

$\frac{Ae^{-36k}}{Ae^{-18k}}=\frac{46}{92}$

$\Rightarrow e^{-18k}=\frac{46}{92}$

Taking ln both sides

$ln e^{-18k}=ln\frac{46}{92}$

$\Rightarrow -18k =ln (\frac12)$

$\Rightarrow -18k= ln1-ln2$

$\Rightarrow k= \frac{ln2 }{18}$

Putting the value k in equation (1)

$Ae^{-18\frac{ln2}{18}}=92$

$\Rightarrow A e^{ln2^{-1}}=92$

$\Rightarrow A.2^{-1}=92$

$\Rightarrow \frac{A}{2}=92$

$\Rightarrow A= 92 \times 2$

⇒A= 184.

Therefore $k= \frac{ln2 }{18}$ , A=184

7 0

3 years ago

3. approximate value of log 3 base 7

xxTIMURxx [149]

Answer:

0.56457

Step-by-step explanation:

log 3 with base 7 = (Log 3)/ (Log 7) = 0.47712125 / 0.845098040014

(Log 3) / (Log 7) = 0.56457

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4 years ago

9. Which is the quadratic equation the

lesya [120]

Answer:

Step-by-step explanation:

6 0

2 years ago

Circle O has a circumference of approximately 2507 ft.

ELEN [110]

Answer:

80 ft (b)

Hope it helps

Step-by-step explanation:

Circumference= π * diameter

Since the circumference is given..

250 = πd

d = 250/π

= 250/3.14

= 79.6

= 80 feet approx

3 0

3 years ago

Which expression is equivalent to -x4x4x4x4x4x4x4x4?

Zanzabum

An expression equivalent to that given would be 4^8 or also written as four to the eighth power, hope this helped! Please rate my answers.

Work: 4^8 = 4x4x4x4x4x4x4x4

7 0

3 years ago