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brilliants [131]
2 years ago
8

Kai wrote the characters to the phrase 567 GNATS on separate chips and put them in a container. She selected one tile at random.

Mathematics
1 answer:
grin007 [14]2 years ago
5 0

Part 1

<h3>Answer:  3/4</h3>

------------------

Explanation:

set A = set of things we want to pull out

set A = set of odd numbers or consonants

set A = {5, 7, G, N, T, S}

There are 6 items in set A. Let p = 6.

set B = set of all possible outcomes

set B = {5, 6, 7, G, N, A, T, S}

There are three numbers and five letters, so 3+5 = 8 items total in set B. Let q = 8.

Divide the values of p and q to get the final result

p/q = 6/8 = 3/4

================================================

Part 2

<h3>Answer:   7/8</h3>

------------------

Explanation:

There is one vowel (the letter "A") out of 8 items total. So there are 8-1 = 7 items that aren't a vowel. The complement of P(vowel) is basically P(not vowel) and that's why the answer is 7/8

================================================

Part 3

<h3>Answer: 924</h3>

------------------

Explanation:

The phrase "6 TANS" has five unique items, either a number or the letters mentioned. This is out of 8 items total. So 6/8 = 3/4 is the probability of picking any of those items. If we do 1232 trials, then we expect (3/4)*1232 = 924 occurrences where that number 6 or those letters show up. This value is an estimate.

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135 city blocks is the correct answer

Step-by-step explanation:

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A new pair of skates cost $75. They are on sale for 10% off. Sales tax is 8%. If you purchased the skates, how much would you pa
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72.9

Step-by-step explanation:

10% off 75 gets you to 67.5

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3 years ago
Solve by using trial and error method. 3x = 16​
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2 years ago
A billing company that collects bills for​ doctors' offices in the area is concerned that the percentage of bills being paid by
omeli [17]

Answer:

1) A. H0: p = 0.30

HA: p not equal to 0.30

2) A. The Independence Assumption is met.

C. The Randomization Condition is met.

D. The Success/Failure Condition is met.

3) Test statistic z = 2.089

P-value = 0.0367

4) C. Reject H0. There is sufficient evidence to suggest that the percentage of bills paid by medical insurance has changed.

Step-by-step explanation:

1) This is a hypothesis test for a proportion.

The claim is that there is a significant change in the percent of bills being paid by medical​ insurance.

As we are looking for evidence of a difference, no matter if it is higher or lower than the null hypothesis proportion, the alternative hypothesis is defined by a unequal sign.

Then, the null and alternative hypothesis are:

H_0: \pi=0.3\\\\H_a:\pi\neq 0.3

2) Cheking the conditions:

The independence assumption and the randomization condition are met as the bills were selected randomly from the population.

The 10% condition can not be checked, as we do not know the size of the population.

The success/failure condition is met as the products np and n(1-p) are bigger than 10 (the number of successes and failures are both bigger than 10).

3) The significance level is assumed to be 0.05.

The sample has a size n=9260.

The sample proportion is p=0.31.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.3*0.7}{9260}}\\\\\\ \sigma_p=\sqrt{0.000023}=0.005

Then, we can calculate the z-statistic as:

z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.31-0.3-0.5/9260}{0.005}=\dfrac{0.01}{0.005}=2.089

This test is a two-tailed test, so the P-value for this test is calculated as:

\text{P-value}=2\cdot P(z>2.089)=0.0367

As the P-value (0.0184) is smaller than the significance level (0.05), the effect is  significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that there is a significant change in the percent of bills being paid by medical​ insurance.

5 0
3 years ago
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Answer:

y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina

Step-by-step explanation:

8 0
3 years ago
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