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Ket [755]
2 years ago
9

Suppose the test scores on an exam show a normal distribution with a mean of 82 and a standard deviation of

Mathematics
1 answer:
Zanzabum2 years ago
5 0

Answer:

a) Between 74 and 90

b) 81.86% of the scores are between 78 and 90

Step-by-step explanation:

a) According to the Empirical Rule, in a normal distribution, 95% of the data are within 2 standard deviations of the mean. Therefore, the range that 95% of the scores fall in is between 82-4(2)=74 and 82+4(2)=90.

b) The percent of scores that are between 78 and 90 is: normalcdf(lower,upper,μ,σ) = normalcdf(78,90,82,4) = 0.8185946784 ≈ 0.8186, or about 81.86% of the scores.

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The function f(x) = 2x2 + 6x - 12 has a domain consisting of the integers from -2 to 1, inclusive. Which set represents the corr
Dimas [21]

Answer:

[-16,-4]

Step-by-step explanation:

We are given that

f(x)=2x^2+6x-12

Domain=[-2,1]

We have to find the set of range values of f(x).

Substitute x=-2

f(-2)=2(-2)^2+6(-2)-12

f(-2)=-16

Substitute x=1

f(1)=2(1)+6(1)-12=-4

Range of f(x)=[-16,-4]

Hence, the set of range values of f(x)

[-16,-4]

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3 years ago
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timurjin [86]

Answer:

  • $10 per hour
  • 0.1 hours

Step-by-step explanation:

To find Carys' earnings in one hour, fill in h=1 in the formula:

  E = 10·1 = 10

Carys earns 10 dollars per hour.

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To find the number of hours required to earn 1 dollar, fill in E=1 in the formula:

  1 = 10h

  0.1 = h . . . . . divide by 10

It takes 0.1 hours for Carys to earn 1 dollar.

4 0
3 years ago
Read 2 more answers
Given h(x) = 4x + 3, find h(-1)<br>​
dsp73

Answer:

-1

Step-by-step explanation:

4x-1=-4

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alexandr1967 [171]

Answer:

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The sum of two numbers is 35. The greater number is 4 less than twice the lesser number. What is the greater number?
zubka84 [21]

Answer: x=13

Step-by-step explanation: ?+?=35

(2x-4)+x=35

3x-4=35

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3 years ago
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