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White raven [17]
3 years ago
6

Write each of the following numerals in base 10. For base​ twelve, T and E represent the face values ten and​ eleven, respective

ly.
233five

11000two

43Etwelve
Mathematics
1 answer:
kifflom [539]3 years ago
5 0
233 base five = 2 x 5^2 + 3 x 5 + 3 x 1 = 2 x 25 + 15 + 3 = 50 + 18 = 68 base 10

11000 base two = 1 x 2^4 + 1 x 2^3 = 16 + 8 = 24 base ten

43E base twelve = 4 x 12^2 + 3 x 12 + 11 x 1 = 4 x 144 + 36 + 11 = 576 + 47 = 623 base ten
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Sarah received $55 for her birthday. She used some of that money to buy 3 shirts priced at m dollars each.
jolli1 [7]

Answer:

55 - 3m

Step-by-step explanation:

Sarah has $55

Her expenses are 3 shirts priced at $m each.

Total cost of 3 shirts at $m each would be the multiplication of each:

3 * m = 3m

The amount of money Sarah has left would be the total she had MINUS what she spent on 3 shirts. That would be:

Remaining Money = 55 - 3m

5 0
3 years ago
On day two of a study on body temperatures, 106 temperatures were taken. Suppose that we only have the first 10 temperatures to
NemiM [27]

Answer:

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

Step-by-step explanation:

We have the standard deviation for the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.2622

The margin of error is:

M = T*s = 2.2622*0.3 = 0.68

In which s is the standard deviation of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 98.44 - 0.68 = 97.76 ºF

The upper end of the interval is the sample mean added to M. So it is 98.44 + 0.68 = 99.12 ºF

The 95% confidence interval for the mean of all body temperatures is between 97.76 ºF and 99.12 ºF

4 0
3 years ago
Help help help help find volume
Ganezh [65]

Answer:

20 mm^3

Step-by-step explanation:

Formula

V = 1/3 B * h

Givens

B = 15 mm^2

h = 4 mm

Solution

V = 1/3 * 15 * 4

V = 20 mm^3

5 0
3 years ago
A phone company charges a flat rate of $15 to make phone calls for a month.they charge $0.10 per minute for each call made.if th
Ne4ueva [31]

Answer:

450 minutes

Step-by-step explanation:

15 + 0.1x = 60

15 - 15 + 0.1x = 60 - 15

0.1x = 45

\frac{0.1x}{0.1} = \frac{45}{0.1}

x = 450

5 0
3 years ago
Read 2 more answers
Determine the diameter of a softball if it circumference is 5pi
Paha777 [63]
5/3.14= 1.592
= 1.59

The formula to find the circumference is C= pi(d)
So to find the diameter if you have the circumference is to do the circumference divided by pi

I hope this helps
4 0
2 years ago
Read 2 more answers
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