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alexira [117]
3 years ago
8

In how many ways can we rearrange the digits in the number 12321? With formula and not just listing the numbers.

Mathematics
1 answer:
Archy [21]3 years ago
7 0

Answer:

With a 5-digit number, you have 5 choices for the first digit. There will be 4 digits left so you have 4 choices for the second digit. After you have chosen the first 2 digits there will be 3 remaining so you will have 3 choices for the third digit. Hence there are 2 choices for the fourth digit and only 1 choice for the fifth digit. Thus you have made 5 × 4 × 3 × 2 1 = 120 choices and there are 120 possible 5 digit numbers made from 1, 2, 3, 2 and 1

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A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are dri
Minchanka [31]

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the <u>standard deviation for the samples</u>, hence, the t-distribution is used to solve this question.

The standard errors are given by:

s_A = \frac{1.79}{\sqrt{18}} = 0.4219

s_B = \frac{1.95}{\sqrt{18}} = 0.4596

For the distribution of differences, the <u>mean and the standard error</u> are given by:

\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76

s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239

The interval is given by:

\overline{x} \pm ts

The critical value for a <u>two-tailed 99% confidence interval</u> with 18 + 18 - 2 = <u>34 df</u> is t = 2.7284.

Then:

\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058

\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check brainly.com/question/16162795

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3 years ago
What figure appears to be the image of figure h after a dilation by a scale factor of 1/2 and a rotation of 180 degrees?
alukav5142 [94]

Answer:

figure D

Step-by-step explanation:

7 0
4 years ago
(2 5/8 + 5/6 + 1 1/8
VLD [36.1K]
<h2>2\dfrac{5}{8}+\dfrac{5}{6}+1\dfrac{1}{8} = 3\dfrac{19}{12}  or, \dfrac{55}{12}</h2>

Step-by-step explanation:

We have,

2\dfrac{5}{8}+\dfrac{5}{6}+1\dfrac{1}{8}

To find, the value of 2\dfrac{5}{8}+\dfrac{5}{6}+1\dfrac{1}{8} = ?

∴ 2\dfrac{5}{8}+\dfrac{5}{6}+1\dfrac{1}{8}

= 2+\dfrac{5}{8}+\dfrac{5}{6}+1+\dfrac{1}{8}

= (2+1)+(\dfrac{5}{8}+\dfrac{5}{6}+\dfrac{1}{8})

= 3 + \dfrac{15+20+3}{24}

= 3 + \dfrac{19}{12}

= 3\dfrac{19}{12}  or, \dfrac{55}{12}

∴ 2\dfrac{5}{8}+\dfrac{5}{6}+1\dfrac{1}{8} = 3\dfrac{19}{12}  or, \dfrac{55}{12}

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3 years ago
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