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Lelechka [254]
3 years ago
9

A train travels at a steady rate of 80 mph. If the train travels for one-half hour nonstop, what are the domain and range of the

distance function during the trip?
Mathematics
1 answer:
alukav5142 [94]3 years ago
8 0
The independent variable is time, which varies from 0 to 0.5, so domain = [0,0.5].
The distance travelled is the dependent variable, varying from 0 to (1/2)80=40 km.  The range is therefore [0,40].

Note: in interval notation, a square bracket means that the value is included in the interval.
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Find the difference between the result of one sixth of product of 10 and 3 multiplied by 4 and 30
kherson [118]

Answer:

10 or -10,

Read the explanation

Step-by-step explanation:

Rewrite this problem as a numerical expression. As per the wording of this problem, there can be two expressions derived.

1.     ((\frac{1}{6}(10*3)*4)-30

2.     30-((\frac{1}{6}(10*3)*4)

Simplify, remember the order of operations. The order of operations is the sequence by which one is supposed to perform operations in a numerical expression. This order is the following:

1. Parenthesis

2. Exponents

3. Multiplication or division

4. Addition or Subtraction

Use this sequence when simplifying and solving the expression:

Expression 1

((\frac{1}{6}(10*3)*4)-30\\\\=((\frac{1}{6}(30)*4)-30\\\\=(5*4)-30\\\\=20 - 30\\\\= -10

Expression 2

30-((\frac{1}{6}(10*3)*4)\\\\=30-((\frac{1}{6}(30)*4)\\\\=30-(5*4)\\\\= 30-20\\\\= 10

6 0
3 years ago
Steph makes 90 % 90%90, percent of the free throws she attempts. She is going to shoot 3 33 free throws. Assume that the results
zmey [24]

Using the binomial distribution, it is found that there is a 0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

For each free throw, there are only two possible outcomes, either he makes it, or he misses it. The results of free throws are independent from each other, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • He makes 90% of the free throws, hence p = 0.9.
  • He is going to shoot 3 free throws, hence n = 3.

The probability that he makes exactly 1 is P(X = 1), hence:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 1) = C_{3,1}.(0.9)^{1}.(0.1)^{2} = 0.027

0.027 = 2.7% probability that he makes exactly 1 of the 3 free throws.

To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377

3 0
2 years ago
Allison sent and received 240 text messages last month. 20% of those messages were sent to her best friend. How many text messag
goldenfox [79]

Answer:

48

Step-by-step explanation:

because 20% of 240 is 48.

7 0
3 years ago
On a cold February morning, the radiator fluid in Stanley’s car is -18 degrees When the engine is running, the temperature goes
Vitek1552 [10]

To figure this out you first find the difference between -18 and 60, which is 78 you then just divide, 78/4.5 which is approximately 17.55 mins or 17.6 rounded.

7 0
3 years ago
the number of three-digit numbers with distinct digits that be formed using the digits 1,2,3,5,8 and 9 is . The probability that
jolli1 [7]

Answer:

a)120

b)6.67%

Step-by-step explanation:

Given:

No. of digits given= 6

Digits given= 1,2,3,5,8,9

Number to be formed should be 3-digits, as we have to choose 3 digits from given 6-digits so the no. of combinations will be

6P3= 6!/3!

      = 6*5*4*3*2*1/3*2*1

      =6*5*4

      =120

Now finding the probability that both the first digit and the last digit of the three-digit number are even numbers:

As the first and last digits can only be even

then the form of number can be

a)2n8 or

b)8n2

where n can be 1,3,5 or 9

4*2=8

so there can be 8 three-digit numbers with both the first digit and the last digit even numbers

And probability = 8/120

                          = 0.0667

                          =6.67%

The probability that both the first digit and the last digit of the three-digit number are even numbers is 6.67% !

5 0
4 years ago
Read 2 more answers
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