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Helen [10]
3 years ago
7

Samantha loves to download new music. She originally had 52 songs but plans to purchase 2 new songs each week. She wants to know

how many songs she will have after 93 weeks. Which equation should she use?
a93 = 93 + 2(52 − 1)
a93 = 93 + 2(52 + 1)
a93 = 52 + 2(93 + 1)
a93 = 52 + 2(93 − 1)

Hint: It's either A, B, C, or D
Mathematics
2 answers:
Nat2105 [25]3 years ago
6 0
a_1=52\\
d=2\\
n=93\\\\
a_n=a_1+(n-1)\cdot d\\\\
a_{93}=52+(93-1)\cdot2=52+2(93-1)

natta225 [31]3 years ago
5 0
They want to construct this in the form of an arithmetic sequence which as the form:

a(n)=a+d(n-1), where a=initial value, d=common difference.

In this case a=52 and d=2, so our formula is:

a(n)=52+2(n-1)  and if we are looking for the 93 term we have

a(93)=52+2(93-1)
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The proportion of junior executives leaving large manufacturing companies within three years is to be estimated within 3 percent
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Answer: 709

Step-by-step explanation:

The formulas we use to find the required sample size :-

1. n=(\dfrac{z^*\cdot \sigma}{E})^2

, where \sigma = population standard deviation,

E = Margin of error .

z* = Critical value

2. n=p(1-p)(\dfrac{z^*}{E})^2 , where p= prior estimate of population proportion.

3. If prior estimate of population proportion is unavailable , then we take p= 0.5 and the formula becomes

n=0.25(\dfrac{z^*}{E})^2

Given : Margin of error : E= 3% =0.03

Critical value for 95% confidence interval = z*= 1.96

A study conducted several years ago revealed that the percent of junior executives leaving within three years was 21%.

i.e. p=0.21

Then by formula 2., the required sample size will be :

n=0.21(1-0.21)(\dfrac{1.96}{0.03})^2

n=0.21(0.79)(65.3333)^2

n=(0.1659)(4268.44008889)\\\\ n=708.134933333\approx709 [Round to the next integer.]

Hence, the required sample size of junior executives should be studied = 709

4 0
3 years ago
Pretend you are having a party and you are making a cake. You invite 21 people over but only 14 can attend. Therefore, you have
professor190 [17]
Let's make a ratio!
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Only 2/3 of your "party peeps" can attend, so...

You only need 2/3 of your recipe!

2/3 of 6 = 4 cups of sugar
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2/3 of 9 = 6 cups of flower
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6 0
3 years ago
How does the graph of y=3x-4 compare to the graph of y=3x+2
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What is the inverse of the function f(x) = -6x - 7​
andreyandreev [35.5K]

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f - 1 (x)  = - x6 - 76

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=−x6−76 f - 1 ( x ) = - x 6 - 7 6 is the inverse of f(x)=−6x−7 f ( x ) = - 6 x - 7 .

7 0
2 years ago
Substitute each given value of the variable to find which, if any, is a solution of inequality.
OlgaM077 [116]

Given:

The inequalities are:

a) w

b) t>-25, t=-24, -25, -25.1, -27

To find:

The solution of inequalities by substituting the given values.

Solution:

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w

After substituting the given values one by one, we get

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Therefore the solutions of w are w=-8.3, -9.

b)

We have,

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After substituting the given values one by one, we get

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Therefore, the solution of t>-25 is t=-24.

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3 years ago
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