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GaryK [48]
3 years ago
5

How many ways can you arrange 10 numbers

Mathematics
1 answer:
kkurt [141]3 years ago
8 0

Answer:

3628800

Step-by-step explanation:

There are 10 options for the first number.

That leaves 9 options for the second number.

That leaves 8 options for the third number.

So on and so forth.

The number of ways 10 numbers can be arranged is:

10×9×8×7×6×5×4×3×2×1

= 10!

= 3628800

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A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does
mylen [45]

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

H_0: p = 0.5

At the alternative hypotheses, we test if it does not equal, hence:

H_1: p \neq 0.5

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are given by:

n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5

Hence the test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

<h3>What is the decision?</h3>

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ4

5 0
1 year ago
What is the difference between a Linear Graph and an Exponential Graph?
Softa [21]

Answer:

Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.

7 0
3 years ago
Read 2 more answers
The expression 9x2 - 5x - 7 has ___ terms and a constant of ___.
elena55 [62]
Answer: first option 3, - 7

Justification:

1) Given expression:9x² - 5x - 7

2) Each monomial is a term.

The monomials are each  combination of numbers and letters (coefficient, letters and exponents) separated of other monomials (terms) with a + or - operator.

3) Therefore, there are 3 terms which are:

9x²,
-5x, and
-7.

The polynomials with 3 terms are called monomials.

4) The monomial (term) withoud letter is the constant. In this case that is  -7.
4 0
3 years ago
Mary purchased a new drawing box. The height, width and length of the box are respectively 12 cm, 6 cm, 3 cm. She wants to fill
Volgvan
12 x 6 x 3 = 216
Volume = 216 cm cubed

216/0.03 = 7200
Answer = 7200 pencils

Hope it helped :)
6 0
3 years ago
John wants to send a letter to Peter, who lives on Tesla
blondinia [14]

Answer:

The minimum number of letters John has to send to be sure that Peter receives his letter is 127 letters

Step-by-step explanation:

The four digit numbers that are multiples of 5 and 7 with the last digit = 0 is found as follows  

Since the last digit of the house number = 10, then the house number is divisible by 10 which also meets the condition that the house number is divisible by 5

We have the four digit numbers from 1000 to 9999

Hence the numbers divisible by both 7 and 10 are from (1000/70 (Which is 14 + 2/7) - 2/7)×70 + 70 = 1050 to (9999/70 (Which is 142 + 59/70)- 59/70)×70= 9940

Which gives 142 - 15 =  127 numbers which are four digit number multiples of 5 and 7 with the last digit = 0

Hence the minimum number of letters John has to send to be sure that Peter receives his letter = 127 letters.

5 0
3 years ago
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