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patriot [66]
3 years ago
12

Hector has three weeks before his first track meet he recorded the amount of time he spent running during week 1 of his training

. he spent 1 6/12 hours running on Tuesday 2 6/12 hours running on Wednesday and 1 9/12 hours running on Thursday how many hours did Hector run during week 1 explain how you found the answer
Mathematics
1 answer:
Fofino [41]3 years ago
6 0
Add them all up so 2 6/12 and 1 6/12 is 4 and then add 1 9/12 to get 5 9/12 or in simple form 5 3/4
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In a large school district, it is known that 25% of all students entering kindergarten are already reading. A simple random samp
vladimir2022 [97]

Given Information:

Probability of success = p = 25% = 0.25

Number of trials = n = 10   

Required Information:

P(x < 3) = ?

Answer:

P(x < 3) = 0.5256 (option D)

Step-by-step explanation:

The given problem can be solved using binomial distribution since:

  • There are n repeated trials and are independent of each other.
  • There are only two possibilities: student is able to read or student is not able to read.
  • The probability of success does not change with trial to trial.

The binomial distribution is given by

P(x) = ⁿCₓ pˣ (1 - p)ⁿ⁻ˣ

Where n is the number of trials, x is the variable of interest and p is the probability of success.

The variable of interest in this case is fewer than 3 students and the probability that fewer than three students are able to read is

P(x < 3) = P(x = 0) + P(x = 1) + P(x = 2)

For P(x = 0):

Here we have x = 0, n = 10 and p = 0.25

P(x = 0) = ¹⁰C₀(0.25⁰)(1 - 0.25)¹⁰⁻⁰

P(x = 0) = (1)(0.25⁰)(0.75)¹⁰

P(x = 0) = 0.0563

For P(x = 1):

Here we have x = 1, n = 10 and p = 0.25

P(x = 1) = ¹⁰C₁(0.25¹)(1 - 0.25)¹⁰⁻¹

P(x = 1) = (10)(0.25¹)(0.75)⁹

P(x = 1) = 0.1877

For P(x = 2):

Here we have x = 2, n = 10 and p = 0.25

P(x = 2) = ¹⁰C₂(0.25²)(1 - 0.25)¹⁰⁻²

P(x = 2) = (45)(0.25²)(0.75)⁸

P(x = 2) = 0.28157

Finally,

P(x < 3) = P(x = 0) + P(x = 1) + P(x = 2)

P(x < 3) = 0.0563 + 0.1877 + 0.28157

P(x < 3) = 0.52557

Rounding off yields

P(x < 3) = 0.5256

Therefore, the probability that fewer than three of the students are able to read is 0.5256

7 0
3 years ago
Which relation is a function of x?
lorasvet [3.4K]
For a table to be a proper function, an x-value is only allowed to have one y-value. 

Table 1 has x = 2 have two y-values. Table 2 has x = -8, 1 have two y-values each. Table 3 has x = -5 have four y-values.

Table 4 can be a function of x.
4 0
2 years ago
Read 2 more answers
How do i get the answer to rounding 387,422 to the nearest hundred thousand
vladimir2022 [97]
Hey mate!
You stuck?

2= Ones' place
2= Tens' place
4= Hundreds' place
7= Thousands' place
8= Ten thousands' place
3= Hundred thousands' place

Now that you know the places, 387,422 can be rounded to 400,000. The reason why is because the (87) in 387 is closer to the next hundred. As you may know that anything 5 and greater can be rounded to the next hundred.

Hope this helps!
7 0
3 years ago
Assume that an investment of $7000 earns an APR of 6% compounded monthly for 18 months.
Bogdan [553]

Answer: sorry I wasn’t able to tell u the exact number but check out this link it should help u

Step-by-step explanation:

https://www.wyzant.com/match

6 0
3 years ago
Help me asap ill give brainlyest How many solutions can be found for the equation 4x + 5 = 10?
Andrej [43]
There would be two solutions
8 0
2 years ago
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