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Helga
3 months ago
11

The current value of a baseball card is 80 times its original value vv (in dollars). The baseball card is worth $36. Write and s

olve an equation to find the original value of the baseball card.
Mathematics
2 answers:
Zina [12.3K]3 months ago
5 0
36 is divided by 80 equals the original value
0.45
Zina [12.3K]3 months ago
3 0

Let

v---------> represent the original value of the baseball card

we can deduce that

36=80v ------> gives us the equation to determine the original value of the baseball card

solve for v

Split each side by 80

v=36/80

v=\$0.45

therefore

the conclusion is

the original value of the baseball card comes to \$0.45

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What’s the x value of PR=9x-31 and QR=43?
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Reducing

9x + -31 = 43

Rearranging the components:

-31 + 9x = 43

Finding the solution

-31 + 9x = 43

Isolating the variable 'x'.

Shift all terms with x to one side,

Add '31' to both sides of the equation.

0 + 31 + 9x = 43 + 31

Summing up similar items:

-31 + 31 = 0

0 + 9x = 43 + 31

9x = 43 + 31

Summing similar items:

43 + 31 = 74

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Split each side by '9'

x = 8.222222222

Simplifying

x = 8.222222222

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3 months ago
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The average height of females in the freshman class of a certain college has historically been 162.5 centimeters with a standard
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To determine if there is evidence suggesting a change in average height, we can conduct a right-tailed test and formulate both null and alternative hypotheses.

H₀ (null hypothesis): μ = 162.5
H₁ (alternative hypothesis): μ > 162.5

With two samples to analyze, we can calculate the z-score using the formula provided below.

Z = \frac{(\chi - \mu)}{ \sigma / \sqrt{n}}

In this formula, Z symbolizes the z-score, Χ denotes the new sample mean, μ indicates the theoretical average, δ represents the standard deviation, and n signifies the sample size. Based on the gathered values, 

Z = \frac{(165.2 - 162.5)}{6.9 / \sqrt{50}}
Z \approx 2.77

Assuming a significance level of α = 0.05. With a z-score of 2.77, we can reference the z-table to ascertain the p-value. This yields P(Z > 2.77) =.0028. Since our p-value is below α, we reject the null hypothesis, indicating that the average height of female freshman students has indeed shifted.
 


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Answer:

150

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We perform addition.

a) The total of 48 added to itself

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= 96 + 24 + (1/2 × 24)

= 96 + 24 + 12

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c) plus 18

= 132 + 18

= 150

Thus, adding 48 to itself, its half, and half of that to 18 results in 150.

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