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Karo-lina-s [1.5K]
2 years ago
15

Marquis wrote the linear regression equation y = 1.245 x minus 3.684 to predict the cost, y, of x songs purchased. marquis spent

$40 on songs. which is the best estimate of the number of songs that marquis purchased? 29 32 35 46
Mathematics
1 answer:
mina [271]2 years ago
5 0

Answer:

35

Step-by-step explanation:

1. Write the equation

y = 1.245x - 3.684

2. Set y = 40, since that is the cost of the songs he purchased.

40 = 1.254x - 3.684

3. Add 3.684 to both sides

43.684 = 1.254x

4. Divide by 1.254

x = 35.0875502

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What is the value of x in the equation x – y = 30, when y = 15?
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I need to understand how to solve this equation step by step
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3 years ago
How many different twotwo​-letter passwords can be formed from the letters
Anna [14]

Answer:

70

Step-by-step explanation:

GIVEN: two two​-letter passwords can be formed from the letters  A, B, C, D, E, F, G and H.

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SOLUTION:

Total number of different letters =8

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Number of ways of selecting 4 different letters from 8 letters=^8C_4

                                                                                                   =\frac{8!}{4!4!}

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Hence there are 70 different two-letter passwords can be formed using 8 letters.

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3 years ago
Insulin is used to regulate sugar in the bloodstream. A dose of 10 units breaks down by about 5% each minute after injection. Ho
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Answer:

Explanation:

• The initial dose of the Insulin = 10 Units

The insulin breaks down by about 5% each minute, therefore:

• The decay rate, r= 5%

We want to determine the time it will take for the remaining dosage to be half (5 units) of the original dose.

We use the exponential decay function:

N(t)=N_o(1-r)^t

Substituting the given values, we have:

\begin{gathered} 5=10(1-0.05)^t \\ \frac{5}{10}=0.95^t \\ 0.5=0.95^t \end{gathered}

To solve for t, we change to logarithm form.

8 0
1 year ago
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