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klemol [59]
3 years ago
12

Compliment Questions

Mathematics
1 answer:
sammy [17]3 years ago
6 0

Answer:

  1. 36.00%
  2. 99.9976%

Step-by-step explanation:

Two mutually exclusive events that cover all possible events have a combined probability of 1.

1. If there is no middle ground—you either pass math or you don't—then the probability of not passing math this semester is 100% - 64% = 36%.

__

2. If there is no middle ground—you either win the lottery or you don't—then the probability of not winning the lottery is 100% - 0.0024% = 99.9976%.

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The starting salary at a company is $42,000 per year. The company automatically gives a raise of 3% per year. Write a recursive
cricket20 [7]
To solve this, we are going to use the recursive formula for a geometric sequence: a_{n}=a_{1}r^{n-1}
where
a_{n} is the nth term of the geometric sequence.
a_{1} is the first term of the geometric sequence.
r is the common ratio 
n is the position of the term in the sequence. 

We know that the starting salary is $42,000, so a_{1}=42000. Now, to find the common ratio r, we need to find the next term in the sequence first:
We know from our problem that t<span>he company automatically gives a raise of 3% per year, so the next term in the sequence will be 42000 + 3%(42000) = 42000 + 1260 = 43260. Remember that the common ratio is the current term of the geometric sequence divided by the previous term of the sequence; we know that our current term is 43260 and the previous term is 42000, so:
</span>r= \frac{43260}{42000}
r=1.03
<span>Now we can plug the values in our recursive formula:
</span>a_{n}=a_{1}r^{n-1}
a_{n}=42000(1.03)^{n-1}

We can conclude that the recursive definition for the geometric sequence formed by the salary increase is: a_{n}=42000(1.03)^{n-1}
8 0
3 years ago
Given the graph below, what is the y-intercept(s)? Give your answer(s) as an ordered pair.
Irina18 [472]

Answer:

(0, 4)

General Formulas and Concepts:

<u>Algebra I</u>

  • The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.

Step-by-step explanation:

According to the graph, the line passes the y-axis at y = 4. Therefore, our y-intercept is (0, 4).

5 0
3 years ago
Find the critical value needed to construct a confidence interval of the given level with the given sample size. Round the answe
Contact [7]

Using the t-distribution, the critical value needed is: t = 2.2622.

<h3>How to find the critical value for the t-distribution?</h3>

The critical value is found using a calculator, with two parameters:

  • The confidence level.
  • The number of degrees of freedom, which is one less than the sample size.

For this problem, we have a confidence level of 95% and 10 - 1 = 9 df, hence the critical value is t = 2.2622.

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

5 0
2 years ago
Julie bought 12
Drupady [299]
She would have 12 seeds left from her planting of all packs
5 0
3 years ago
Use , or = to complete the number sentence.
Ber [7]

Answer:

The page is blank

Step-by-step explanation:

7 0
3 years ago
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