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Agata [3.3K]
3 years ago
11

A jar contains 14 nickels, 10 dimes, 6 quarters, and 22 pennies. A coin is chosen at random from the jar. What is the probabilit

y that the coin chosen is a dime?
Question 16


A. 1/26

B. 1/21

C. 5/26

D. 5/21 Help c:
Mathematics
1 answer:
gulaghasi [49]3 years ago
4 0
In order to determine the probability that the coin chosen is a dime, determine first the total number of sample coins. In this problem, there are 52 coins all in all. Next, divide the number of dimes in the sample with the total number of coins. This gives us 10/52. Simplifying the fraction further yields to 5/26. Thus, the probability that the coin chosen is dime is 5/26. The answer is letter c. 

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Yes it does matter because it doesn't make sense to subtract the small number first because it will take you to negatives
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A piecewise linear function is graphed below. (see image)
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Solve 3 ^ (x - 8) = 8 for x using the change of base formula logb y = (log y)/(log b)
Vilka [71]

Answer:

x=3\log_3 (2) +8

Step-by-step explanation:

Here we are using power rule first.

Power rule = The logarithm of an exponential number is the exponent times the logarithm of the base [log(a)^{b}=b\times log(a)].

For the function given.

3^{(x-8)} = 8,using log function both sides.

(x-8)log(3)=log(8)

Now,

(x-8)=\frac{log(8)}{log(3)}

Adding 8 both sides.

x=\frac{log(8)}{log(2)} +8

And we know that 8=2^{3} so we can further write log(8)=log(2^{3})=3log(2)

Then we have x=\frac{3\log(2)}{\log 3} +8.

Now, using change of base formula:

\frac{\log y}{\log b}=\log_b y

So, \frac{\log 2}{\log 3}=\log_3 2

Our final answer is  x=3\log_3 (2) +8.

6 0
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Anne deposited $500 in an account that earns 6% simple annual interest. Shelly deposited $500 in an account that earns 6% annual
Inga [223]

Answer:

It is clear that, The Shelly account is $11.23 more than that in Anne account .

Step-by-step explanation:

Given as :

For Anne

The amount deposited in account = p = $500

The rate of interest = r = 6%  at simple interest

The time period of deposit = t = 4 years

Let The amount received in account after 4 years = $A_1

<u>From Simple Interest method</u>

Simple Interest = \dfrac{\textrm principal\times \textrm rate\times \textrm time}{100}

Or, s.i = \dfrac{\textrm p\times \textrm r\times \textrm t}{100}

Or, s.i = \dfrac{\textrm 500\times \textrm 6\times \textrm 4}{100}

Or, s.i = \dfrac{12000}{100}

i.e s.i = $120

∵ Amount = Principal + Interest

Or, A_1 = p + s.i

Or A_1 = $500 + $120

Or, Amount = $620

So, The Amount in Anne account after 4 years is $620

Again

For, Shelly

The amount deposited in account = P = $500

The rate of interest = R = 6% compounded annually

The time period of deposit = T = 4 years

Let The amount received in account after 4 years = $A_2

<u>From Compound Interest method</u>

Amount = Principal × (1+\dfrac{\textrm rate}{100})^{\textrm time}

Or, A_2 = P × (1+\dfrac{\textrm R}{100})^{\textrm T}

Or, A_2 = $500 × (1+\dfrac{\textrm 6}{100})^{\textrm 4}

Or, A_2 = $500 × (1.06)^{4}

Or, A_2 = $500 × 1.26247

Or, A_2 = $631.23

So, The amount received by Shelly in her account after 4 years = $631.23

Now, Difference between amount received in their account

i.e  A_2 -  A_1 = $631.23 - $620

Or, A_2 -  A_1 = $11.23

Hence, It is clear that, The Shelly account is $11.23 more than that in Anne account . Answer

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Work out whats 2f-4g
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Step-by-step explanation:

I hope this helps. good luck

8 0
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