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Lynna [10]
2 years ago
5

Joan works on commission for a furniture store. She gets a base pay of $80 a day plus 4 percent of the value of any merchandise

she sells that exceeds a total of $400. Joan wrote the expression 400 + 0.04(t − 80), where t represents her sales total in dollars, to compute the total amount of money that she will make. For sales of $500 Joan calculated that she will make $416.80. Explain Joan's error by completing the correct expression and how much she will make.
Mathematics
1 answer:
Murljashka [212]2 years ago
3 0

Answer:

Total amount earned = $84

Step-by-step explanation:

The correct expression is

Total amount earned = 80 + 4% of (t - 400)

= 80 + 0.04(t - 400)

where,

t = her sales total in dollars

Total amount of money that she will make for sales of $500

Total amount earned = 80 + 0.04(t - 400)

= 80 + 0.04(500 - 400)

= 80 + 0.04(100)

= 80 + 4

= 84

Total amount earned = $84

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Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ=105 and a standard deviation sigma eq
Over [174]

The probability that a randomly selected adult has an IQ less than

135 is 0.97725

Step-by-step explanation:

Assume that adults have IQ scores that are normally distributed with a mean of mu equals μ = 105 and a standard deviation sigma equals σ = 15

We need to find the probability that a randomly selected adult has an IQ less than 135

For the probability that X < b;

  • Convert b into a z-score using z = (X - μ)/σ, where μ is the mean and σ is the standard deviation
  • Use the normal distribution table of z to find the area to the left of the z-value ⇒ P(X < b)

∵ z = (X - μ)/σ

∵ μ = 105 , σ = 15 and X = 135

∴ z=\frac{135-105}{15}=2

- Use z-table to find the area corresponding to z-score of 2

∵ The area to the left of z-score of 2 = 0.97725

∴ P(X < 136) = 0.97725

The probability that a randomly selected adult has an IQ less than

135 is 0.97725

Learn more:

You can learn more about probability in brainly.com/question/4625002

#LearnwithBrainly

6 0
2 years ago
Use a factor tree to find the GCF of 32 and 80.
valentinak56 [21]

Answer:

GCF of 32 and 80 is 16

Step-by-step explanation:

factors of 32 = 1, 2, 4, 8, 16, 32

factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

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We will have the following:

(-2+3i)+2(5+6i)=-2+3i+10+12i

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