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Savatey [412]
3 years ago
14

Lola already has 6 pennies, and she plans to save more. In her first week

Mathematics
1 answer:
raketka [301]3 years ago
6 0

Answer: P=6(2)^{w-1}

Step-by-step explanation:

Here, the money saved each week follows geometric progression with a common ratio r= 2 and first term a= 6.

In geometric progression, nth term  = ar^{n-1}

Substitute  r= 2 , a= 6 and n=w, we get

wth term = 6(2)^{w-1}

The equation can be used to determine the number of pennies, P, Lola will save during week w of saving pennies:

P=6(2)^{w-1}

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You randomly select an integer from 0 to 19 ​(inclusively) and then randomly select an integer from 0 to 24 ​(inclusively). What
Mila [183]

Answer:

The probability of selecting 5 both​ times is 0.002.

Step-by-step explanation:

We are given that you randomly select an integer from 0 to 19 ​(inclusively) and then randomly select an integer from 0 to 24 ​(inclusively).

And we have to find the probability of selecting 5 both​ times.

As we know that the probability of an event is given by;

                Probability = \frac{\text{Favorable number of outcomes}}{\text{Total number of outcomes}}

Now, here between integer from 0 to 19 ​(inclusively);

Number of times 5 comes = 1

Total number of integers = 20

Similarly, between integer from 0 to 24 ​(inclusively);

Number of times 5 comes = 1

Total number of integers = 25

So, the required probability = \frac{1}{20}\times \frac{1}{25}

                                              = \frac{1}{500} = 0.002

Hence, the probability of selecting 5 both​ times is 0.002.

5 0
3 years ago
Which expression is equivalent to r to the 9th over r to the 3rd
alisha [4.7K]

Answer:

r^{6}

Step-by-step explanation:

To make this a bit easier to see, we'll expand that expression.

R to the 9th is just r times itself 9 times. R to the third is r times itself 3 times.

(excuse my bad formatting)

<u>The expression:</u>

<u>r • r • r • r • r • r • r • r • r • 1</u>

             r • r • r • 1

Remember, anything and everything has a coefficient or denominator of 1.

So, we can cancel 3 r's from the numerator and denominator.

<u>r • r • r • r • r • r • 1</u>

             1

Simplify....

\frac{1r^{6}}{1}

That just equals r^{6}.

3 0
3 years ago
Find the value of the trigonometric ratio. Simplify the ratio if possible.
sweet [91]

Step-by-step explanation:

Given that,

BC = 8

Ac = 15

We can find AB using the pythagoas theorem.

AB=\sqrt{AC^2+BC^2}\\\\=\sqrt{15^2+8^2}\\\\AB=17

We know that,

\cos\theta=\dfrac{B}{H}, B is base and H is Hypotenuse

\cosB=\dfrac{8}{17}

Hence, this is the required solution.

3 0
3 years ago
1 fourth of dr difference between 2 thirds and 1 half
photoshop1234 [79]

Step-by-step explanation:

1 fourth of dr difference between 2 thirds and 1 half

6 0
3 years ago
2/3 / (-9/4)<br><br> 2/3 divided by (-9/4)
Bezzdna [24]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\frac{2}{3}  \div ( -  \frac{9}{4} ) =  \\

\frac{2}{3}  \times( -   \frac{4}{9}) =  \\

-  \frac{2 \times 4}{3 \times 9}  =  -  \frac{8}{27}  =  -  ({ \frac{2}{3} })^{3}  \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

8 0
3 years ago
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