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lakkis [162]
4 years ago
15

The mean monthly utility bill for a sample of households in a city is $70, with a standard deviation of $8. Between what two val

ues do about 95% of the data lie? (Assume the data set has a Bell-shaped distribution.)
Mathematics
1 answer:
ddd [48]4 years ago
7 0
Empirical rule dictates that, in a Bell-shaped distribution, 95% of data lies within 2 standard deviation on either side of the mean.

Therefore,
Lower value = mean-2SD = 70-2*8 = 70-16 = 54
Upper value = mean+2SD = 70+2*8 = 70+16 = 86

Then, 95% of the data lies between $54 and 84. These values can also be taken as the true mean of the population considering 95% confidence when sample mean has been calculated. In this regard, 2SD can be regarded as the margin error.
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Which statements regarding triangle e f g are true? select three options. e f f g greater-than e g e g f g greater-than e f e g
PSYCHO15rus [73]

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side. The correct options are A, B, and C.

<h3>What is the triangle inequality theorem?</h3>

The Triangle inequality theorem of a triangle says that the sum of any of the two sides of a triangle is always greater than the third side.

Suppose a, b and c are the three sides of a triangle. Thus according to this theorem,

  • (a+b) > c
  • (b+c) > a
  • (c+a) > b

For the given triangle, using the triangle inequality law, we can write,

EF + FG > EG

FG + EG > EF

EG + EF > FG

Hence, the correct options are A, B, and C.

Learn more about the Triangle Inequality Theorem:

brainly.com/question/342881

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7 0
2 years ago
What is the distance between points B and C
Alborosie

Answer:

5

Step-by-step explanation:

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3 0
3 years ago
145 pounds to 132 pounds
Slav-nsk [51]
Decrease of 13 pounds
5 0
4 years ago
Read 2 more answers
A Grocery store offers a cheese sampler that includes a pepper cheddar cheese that cost $15 per kilogram and Pennsylvania jack t
Len [333]

Answer:

1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.  

Step-by-step explanation:

Pepper Cheddar cheese  = $15 per kilogram

Pennsylvania jack = $11 per kilogram

The cheese sampler includes a  Pepper Cheddar cheese and a Pennsylvania jack that cost $15 per kilogram and $11 per kilogram respectively.

The mixture = 6 kg

Let

a = kg of the pepper cheddar cheese

b = kg of the Pennsylvania jack

a + b = 6............(i)

Rate

15a + 11b/6 = 12

15a + 11b = 72.............(ii)

Combine the equation

a + b = 6............(i)

15a + 11b = 72.............(ii)

a = 6 - b

15(6 - b) + 11b = 72

90 - 15b + 11b = 72

90 - 72 = 15b - 11b

18  = 4b

divide both sides by 4

b = 18/4

b = 4.5 kg

insert the value of b in equation (i)

a + b = 6............(i)

a = 6 - 4.5

a = 1.5 kg  

1.5 kg of pepper cheddar cheese and 4.5 kg of Pennsylvania jack was used in the mixture.  

4 0
3 years ago
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