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kenny6666 [7]
3 years ago
7

The high temperatures (in degrees Fahrenheit) of a random sample of 5 small towns are: 99.6 99.7 97.9 98.6 97.7 Assume high temp

eratures are normally distributed. Based on this data, find the 99% confidence interval of the mean high temperature of towns. Enter your answer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sample data are reported accurate to one decimal place).
Mathematics
1 answer:
mylen [45]3 years ago
5 0

Answer: (97.63, 99.77)

Step-by-step explanation:

Given the data:

99.6 99.7 97.9 98.6 97.7

Using calculator, we can obtain the mean and standard deviation of the sample data:

Mean(m) = 98.7

Standard deviation = 0.93

Sample size (n) = 5

Using the relation to find confidence interval :

Mean ± Zcrit * (s/√n)

Zcrit at 99% = 2.576

98.7 ± 2.576 * (0.93 / √5)

Lower limit : 98.7 - (2.576 * 0.4159086) = 97.6286194464 = 97.63 ( 1 decimal place)

Upper limit : 98.7 + (2.576 * 0.4159086) = 99.7713805536 = 99.77 ( 1 decimal place)

(97.6, 99.8)

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Thanks guys for the help. This one and one more and I’m done!
Karolina [17]

Answer: 60n^{3}

Step-by-step explanation:

To find the least common multiply, you must descompose 12 and 15 into their prime factors, as you can  see below:

12=2*2*3=2²*3

15=3*5

Choose the common and non common numbers with their greastest exponents:

3*5*2²=60

Now you must choose the common and non common variables with their greastest exponents:

n³

  Therefore, you can conclude that the least common multiply is:

60n^{3}

8 0
4 years ago
Read 2 more answers
(2 tens 1 one)x10 in unit form and standard form
omeli [17]

When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten

<h3>How to write the number in standard form?</h3>

The number expression is given as:

(2tens 1 one) x 10

2 tens is represented as:

2 * 10

1 one is represented as:

1 * 1

So, the number expression can be rewritten as:

(2tens 1 one) x 10 = (2 * 10 + 1 * 1) x 10

Evaluate the product

(2tens 1 one) x 10 = (20 + 1) x 10

Evaluate the sum

(2tens 1 one) x 10 = (21) x 10

Evaluate the product

(2tens 1 one) x 10 = 210

When the number expression given as (2tens 1 one) x 10 is written in standard form, the standard form is 210 and the unit form is 2 hundred, and 1 ten

Using the above steps as a guide, we have:

  • (5 hundreds 5 tens) * 10 ⇒ 5 thousands and 5 hundreds ⇒ 5500
  • (2 thousands 7 tens) / 10 ⇒ 2 hundreds and 7 units ⇒ 207
  • (4 ten thousands 8 hundred) / 10 ⇒ 4 thousands and 8 tens ⇒ 4080

Read more about standard form at

brainly.com/question/19169731

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4 0
2 years ago
2(4x-3)&gt;-3(3x)+5x help
Roman55 [17]

Answer:

x>1/2

Step-by-step explanation:

2(4x-3)>-3(3x)+5x

Expand the brackets.

8x-6>-9x+5x

Add -9x and 5x

8x-6>-4x

Add 4x and 6x on both sides.

8x+4x>6

Add the like terms.

12x>6

Divide 12 into both sides.

12x/12>6/12

x>1/2

3 0
3 years ago
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Pleaseee helpppp I really need it now please
lozanna [386]

Answer:

c = 60

Step-by-step explanation:

A triangle = 180 degrees

180-(15+105)=c

c=60

5 0
3 years ago
3feet to 8yards what is the simplist fraction
poizon [28]
8yards=24ft
as a fraction=3/24
simplest form=1/8

hope this helps
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3 years ago
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